{"difficulty_level":3,"difficulty_score":2.9466201024820604,"grid_size":{"height":6,"width":3},"id":"aa31d05ed8fdb273","polyshapes":"{\"1392\":[[0,1,1,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","S"],["+","N","+","N","+","P-R-800","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+",".","+"],["+","N","+","N","+","N","+"],["+","+","+",".","+","+","+"],["+","N","G","N","+","N","+"],["+","+","+","+","+","+","."],["+","N","+","N","+","N","+"],[".","+","+","+","+","+","."],["+","P-R-1392","+","*-R","+","N","+"],["E","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12}],"pathLength":43}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 6\n y: 0\n end:\n x: 0\n y: 12\n cells:\n - position:\n x: 0\n y: 10\n properties:\n dot: 1\n - position:\n x: 1\n y: 11\n properties:\n type: \"poly\"\n polyshape: 1392\n color: \"red\"\n - position:\n x: 2\n y: 7\n properties:\n gap: 1\n - position:\n x: 3\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 11\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"red\"\n - position:\n x: 5\n y: 4\n properties:\n dot: 1\n - position:\n x: 6\n y: 8\n properties:\n dot: 1\n - position:\n x: 6\n y: 10\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":6,"width":2},"id":"ebc9c10093a1255a","polyshapes":"{}","puzzle_array":[["+","G","+","+","S"],["+","N","+","N","+"],["+","+","+","+","+"],["E","o-R","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","o-P","+"],["+","+","+","+","+"],["+","A-P","+","o-R","+"],["+","+","+","+","+"],["+","N","+","N","+"],[".","+","+","+","+"]],"solution_count":18,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":34},{"index":1,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":34},{"index":2,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":34},{"index":3,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":34},{"index":4,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":34},{"index":5,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":34},{"index":6,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":30},{"index":7,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":30},{"index":8,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":34},{"index":9,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":34},{"index":10,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":30},{"index":11,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":30},{"index":12,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":30},{"index":13,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":30},{"index":14,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":36},{"index":15,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":30},{"index":16,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":36},{"index":17,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 0\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 0\n y: 12\n properties:\n dot: 1\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"red\"\n"} {"difficulty_level":3,"difficulty_score":2.34497013028262,"grid_size":{"height":2,"width":3},"id":"ed40414d615431d6","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","E","+","+","+"],["+","N","+","N","+","P-G-800","+"],["+","+","+","+","+","+","+"],["+","o-G","+","o-K","+","*-G","+"],["+","+","+","+","S","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":10},{"index":1,"path":[{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 4\n y: 4\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"green\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n"} {"difficulty_level":5,"difficulty_score":4.470450290247271,"grid_size":{"height":4,"width":5},"id":"dce20e150e7fcced","polyshapes":"{\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+","+","+","+","+","+","+"],["+","*-G","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+",".","+","+","+","+","+"],["+","N","+","P-G-1808","+","N","+","P-P-304","+","N","+"],["+","+","+","+","+","+","+","+","+","G","+"],["+","*-G","+","N","+","B-W","+","*-W","+","*-W","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","G"],["+","+","+","+","+","+","+","+","+","+","S"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":47},{"index":1,"path":[{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":47},{"index":2,"path":[{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":43}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 10\n y: 8\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"green\"\n - position:\n x: 5\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"purple\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 9\n y: 4\n properties:\n gap: 1\n - position:\n x: 9\n y: 5\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 10\n y: 7\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.842447049854198,"grid_size":{"height":3,"width":4},"id":"3fe8a85b768ae5b7","polyshapes":"{\"1824\":[[0,0,1,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]]}","puzzle_array":[["+",".","+","+","E","S","+","+","+"],["+","N","+","N","+","N","+","P-B-1824","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","G"],[".","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+",".","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":32},{"index":1,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":28},{"index":2,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 5\n y: 0\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 6\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1824\n color: \"blue\"\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.9613663370751766,"grid_size":{"height":5,"width":2},"id":"1284a7249a4fa10f","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","P-O-816","G"],["+","G","+","+","S"],["+","A-O","+","N","+"],["+","+","+","+","+"],["+","P-K-272","+","N","+"],["+","+","+","+","E"],["+","B-O","+","P-O-16","+"],["+","+","+","+","+"],["+","B-O","G","P-O-304","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 4\n y: 2\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"black\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 2\n y: 9\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"orange\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"orange\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.7040345767618685,"grid_size":{"height":6,"width":2},"id":"cbeb87b359947c42","polyshapes":"{\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","P-B-864","+"],["+","+","+","+","+"],["S","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","*-K","+","N","+"],["+","+","+","+","+"],["+","o-K","+","o-P","+"],["+","+","E","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12}],"pathLength":32},{"index":1,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 0\n y: 5\n end:\n x: 2\n y: 12\n cells:\n - position:\n x: 1\n y: 9\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"blue\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":5,"difficulty_score":4.199816915104884,"grid_size":{"height":6,"width":4},"id":"c80d64b5c5e39d7b","polyshapes":"{\"12560\":[[0,1,1,1],[0,0,0,1],[0,0,0,0],[0,0,0,0]],\"4400\":[[0,1,1,1],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","N","+","N","G","N","+","N","S"],["+","+","+","+","+","+",".","+","+"],["+","N","+","P-R-4400","+","N","+","o-O","+"],["+","G","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],[".","+","+","+","+","+","+","+","E"],["+","P-R-12560","+","N","+","P-O-48","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":14,"solutions":[{"index":0,"path":[{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8}],"pathLength":62},{"index":1,"path":[{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8}],"pathLength":66},{"index":2,"path":[{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8}],"pathLength":50},{"index":3,"path":[{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8}],"pathLength":54},{"index":4,"path":[{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8}],"pathLength":50},{"index":5,"path":[{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8}],"pathLength":46},{"index":6,"path":[{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8}],"pathLength":46},{"index":7,"path":[{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8}],"pathLength":40},{"index":8,"path":[{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8}],"pathLength":40},{"index":9,"path":[{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8}],"pathLength":48},{"index":10,"path":[{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8}],"pathLength":48},{"index":11,"path":[{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8}],"pathLength":44},{"index":12,"path":[{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8}],"pathLength":44},{"index":13,"path":[{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8}],"pathLength":44}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 6\n start:\n x: 8\n y: 1\n end:\n x: 8\n y: 8\n cells:\n - position:\n x: 0\n y: 8\n properties:\n dot: 1\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 12560\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4400\n color: \"red\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 5\n y: 9\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"orange\"\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n"} {"difficulty_level":5,"difficulty_score":4.864144458599218,"grid_size":{"height":6,"width":4},"id":"24e8876585456ee5","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"1136\":[[0,1,0,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","P-O-112","+"],["+","+","+","+","+","+","+","G","+"],["+","N","+","N",".","N","+","N","+"],["+","+","+","+","+","+","+","G","+"],["+","*-Y","+","o-O","+","o-O","+","N","+"],["+","+","+","G","+","G","+","+","+"],["+","N","+","N","+","P-O-1136","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-O","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","B-Y","+","N","+"],["+","+","+","+","E","+","+","+","S"]],"solution_count":24,"solutions":[{"index":0,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":53},{"index":1,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":57},{"index":2,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":49},{"index":3,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":49},{"index":4,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":49},{"index":5,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":53},{"index":6,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":49},{"index":7,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":53},{"index":8,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":45},{"index":9,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":45},{"index":10,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":45},{"index":11,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":49},{"index":12,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":49},{"index":13,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":53},{"index":14,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":45},{"index":15,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":45},{"index":16,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":45},{"index":17,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":49},{"index":18,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":49},{"index":19,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":53},{"index":20,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":45},{"index":21,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":45},{"index":22,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":45},{"index":23,"path":[{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12}],"pathLength":49}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 6\n start:\n x: 8\n y: 12\n end:\n x: 4\n y: 12\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 5\n y: 6\n properties:\n gap: 1\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 1136\n color: \"orange\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"orange\"\n - position:\n x: 7\n y: 2\n properties:\n gap: 1\n - position:\n x: 7\n y: 4\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.9744825032693516,"grid_size":{"height":6,"width":2},"id":"196a88635b1c83b4","polyshapes":"{\"1856\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"368\":[[0,1,1,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","P-R-272","+","*-R","S"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+",".","+"],["+","N","+","N","+"],[".","+","+","+","E"],["+","P-R-368","+","N","+"],["+","+","+","+","+"],["+","A-R","+","N","+"],["+","+","+","+","+"],["+","P-R-1856","+","o-R","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":36}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 1\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 0\n y: 6\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 368\n color: \"red\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"poly\"\n polyshape: 1856\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 11\n properties:\n type: \"square\"\n color: \"red\"\n"} {"difficulty_level":2,"difficulty_score":1.006745425104734,"grid_size":{"height":5,"width":2},"id":"e82bd665d710bb75","polyshapes":"{}","puzzle_array":[["S","G","+","+","+"],["+","o-R","+","N","+"],["+","+","+",".","+"],["+","N","G","N","+"],["+","+",".","+","+"],["+","N","+","N","+"],["+","+","+","+","E"],["+","o-K","+","o-P","."],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":31},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":23},{"index":2,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":27},{"index":3,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":27},{"index":4,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":19},{"index":5,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 0\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 4\n y: 7\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"c6739963a7308111","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","E"],["+","o-P","+","P-W-784","+"],["+","+","+","+","+"],["+","P-R-16","+","o-P","+"],["S","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":9},{"index":1,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":13},{"index":2,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":13},{"index":3,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":9}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":3,"width":2},"id":"953c10f2e4d6fd6","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"1872\":[[0,1,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","G","+"],["+","P-G-16","+","*-W","+"],["+","+","+","+","+"],["+","N","G","P-W-1872","S"],["+","+","+","+","E"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":24},{"index":1,"path":[{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":20},{"index":2,"path":[{"x":4,"y":5},{"x":4,"y":6}],"pathLength":2}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 5\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"green\"\n - position:\n x: 2\n y: 5\n properties:\n gap: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1872\n color: \"white\"\n"} {"difficulty_level":4,"difficulty_score":3.4839323553268073,"grid_size":{"height":5,"width":3},"id":"d91761f3ba340d","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","G","N","+","N","G"],["+","+","+","+","+","+","+"],["S","o-W","+","N","+","N","G"],["+","+","+","+",".","+","+"],["+","N","+","N","+","P-W-112","."],["+","+","+","+","+","+","+"],["+","o-W","+","N","+","*-W","+"],["+","+","+","+","+","+","+"],["+","o-W","+","N","+","N","+"],["+","+","+","+","+","+","E"]],"solution_count":24,"solutions":[{"index":0,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":36},{"index":1,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":32},{"index":2,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":32},{"index":3,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":32},{"index":4,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":32},{"index":5,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":32},{"index":6,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":32},{"index":7,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":28},{"index":8,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":44},{"index":9,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":40},{"index":10,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":40},{"index":11,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":40},{"index":12,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":40},{"index":13,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":40},{"index":14,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":40},{"index":15,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":36},{"index":16,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":30},{"index":17,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":30},{"index":18,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":30},{"index":19,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":26},{"index":20,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":30},{"index":21,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":26},{"index":22,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":26},{"index":23,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 0\n y: 3\n end:\n x: 6\n y: 10\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"white\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 6\n y: 5\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.7979013261124335,"grid_size":{"height":2,"width":4},"id":"bc66c2e18fd6231b","polyshapes":"{\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","E","+","+","+","+","+","+","+"],["+","N","+","N","+","o-B","+","N","S"],["+","+","+","+","+","+","+","+","+"],["+","P-W-8992","G","Y-W-18","+","P-W-48","+","P-W-48","+"],["+","+","+","G","+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":13},{"index":1,"path":[{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":11},{"index":2,"path":[{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 8\n y: 1\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"white\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"white\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n"} {"difficulty_level":3,"difficulty_score":2.6267131995730515,"grid_size":{"height":5,"width":3},"id":"4b236c53ea5fbbdf","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","G","+"],["+","*-Y","+","N","+","P-Y-800","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","G"],["+","+","+","+","+","+","+"],["S","N","+","N","+","*-Y","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","P-Y-816","+","N","+","N","+"],["E","G","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10}],"pathLength":40}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 0\n y: 5\n end:\n x: 0\n y: 10\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"yellow\"\n - position:\n x: 1\n y: 10\n properties:\n gap: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"yellow\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.7504433904617838,"grid_size":{"height":2,"width":2},"id":"5f9a92945a4ab62e","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["E","N","+","o-P","G"],[".","+","+","+","+"],["+","A-P","+","N","+"],["+","+","+","+","S"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":8}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 4\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.3317660609853457,"grid_size":{"height":5,"width":3},"id":"860fbc1cfd446f7c","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","E","S","+","+"],["+","N","+","N",".","N","+"],["+","+",".","+","+","+","."],["+","o-O","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+",".","+","+","+","+"],["+","o-B","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","P-B-272","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":40},{"index":1,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":36},{"index":2,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":40},{"index":3,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":36},{"index":4,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":36},{"index":5,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 4\n y: 0\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"blue\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.288275949286329,"grid_size":{"height":4,"width":2},"id":"5b5d43da944a752d","polyshapes":"{}","puzzle_array":[["+","S","+","+","+"],["+","N","+","*-K","+"],["+","+","+","+","+"],["G","o-W","+","o-W","+"],["+","G","+","+","+"],["+","A-K","+","N","+"],["+","+","+","+","+"],["+","o-W","+","A-K","+"],["+","+","E","+","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8}],"pathLength":20},{"index":1,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8}],"pathLength":24},{"index":2,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8}],"pathLength":12},{"index":3,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8}],"pathLength":22},{"index":4,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8}],"pathLength":14},{"index":5,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8}],"pathLength":14},{"index":6,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8}],"pathLength":18},{"index":7,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8}],"pathLength":10}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 1\n y: 0\n end:\n x: 2\n y: 8\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n"} {"difficulty_level":5,"difficulty_score":4.292238591599003,"grid_size":{"height":3,"width":6},"id":"971ad9f45d1bd53b","polyshapes":"{\"12560\":[[0,1,1,1],[0,0,0,1],[0,0,0,0],[0,0,0,0]],\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"4912\":[[0,1,1,1],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","S","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","Y-B-18","+","P-B-4912","+","N","+","P-B-12560","+","o-B","+","N","+"],["+","+","+","+","+","+","+",".","+","+","+","+","E"],["+","N","+","N","+","A-B","+","N","+","N","+","N","+"],["+","+","+","+","+",".","+","+","+",".","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4}],"pathLength":45}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 8\n y: 0\n end:\n x: 12\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4912\n color: \"blue\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 5\n y: 6\n properties:\n dot: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 12560\n color: \"blue\"\n - position:\n x: 7\n y: 4\n properties:\n dot: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 9\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.6357116736429378,"grid_size":{"height":2,"width":4},"id":"5b3d4d35ac301050","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+",".","+","S"],["+","o-O","+","N","+","N","+","o-O","+"],["+","+","+","+",".","+","+","+","+"],["E","N","+","A-O","+","o-O","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":18,"solutions":[{"index":0,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":12},{"index":1,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":16},{"index":2,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":22},{"index":3,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":18},{"index":4,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":12},{"index":5,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":16},{"index":6,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":22},{"index":7,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":18},{"index":8,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":24},{"index":9,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":24},{"index":10,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":20},{"index":11,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":20},{"index":12,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":16},{"index":13,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":20},{"index":14,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":24},{"index":15,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":24},{"index":16,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":20},{"index":17,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 8\n y: 0\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 6\n y: 0\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n"} {"difficulty_level":1,"difficulty_score":0.42081001825693576,"grid_size":{"height":2,"width":2},"id":"69a08c785ce5fcac","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","o-R","+","N","G"],["S","+","+","+","+"],["+","N","+","o-R","+"],["E","+",".","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":11},{"index":1,"path":[{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":7},{"index":2,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":15},{"index":3,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 2\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.245121898619783,"grid_size":{"height":3,"width":4},"id":"a814bed4f6905ba4","polyshapes":"{\"624\":[[0,1,0,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+",".","+","S"],["+","N","+","*-K","+","N","+","o-Y","G"],["+","+","+","G","+","+","+","+","+"],["G","N","+","N","+","A-K","+","P-K-624","+"],["+","+","+","+","+","G","+","+","+"],["+","*-K","+","o-Y","+","o-K","+","N","+"],["E","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":35},{"index":1,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 8\n y: 0\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 6\n y: 0\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 624\n color: \"black\"\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.20327522344517,"grid_size":{"height":3,"width":5},"id":"f32fe4e5b37fedaa","polyshapes":"{\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]],\"1872\":[[0,1,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+",".","+","+","+","+","+","+","+"],["+","A-R","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","E"],["+","N","+","o-K","+","P-P-1872","+","P-P-48","+","P-R-1808","+"],["+","+","+","+","+","+","+","+",".","+","+"],["+","N","+","*-R","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","S","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 8\n y: 6\n end:\n x: 10\n y: 2\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1872\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"purple\"\n - position:\n x: 8\n y: 4\n properties:\n dot: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"red\"\n"} {"difficulty_level":3,"difficulty_score":2.443232198252384,"grid_size":{"height":2,"width":5},"id":"3ba7fc567dd14312","polyshapes":"{\"12848\":[[0,1,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["+","P-G-12848","+","o-R","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","G","+","+","."],["+","o-G","+","B-P","+","N","+","N","+","N","S"],["+","+","+","E","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4}],"pathLength":29},{"index":1,"path":[{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4}],"pathLength":33}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 10\n y: 3\n end:\n x: 3\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12848\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n - position:\n x: 7\n y: 2\n properties:\n gap: 1\n - position:\n x: 10\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.49758051559726735,"grid_size":{"height":3,"width":3},"id":"7ce0b04c1a28cca6","polyshapes":"{}","puzzle_array":[["+","+","+",".","+","+","+"],["+","N","+","o-B","G","N","+"],["+","+","+","+","+","+","+"],["+","N","G","N",".","N","+"],["+","+","+","+","+","+","."],["+","N","G","N","+","N","+"],["S","+","+","G","E","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6}],"pathLength":29},{"index":1,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6}],"pathLength":25},{"index":2,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6}],"pathLength":25},{"index":3,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 6\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 2\n y: 5\n properties:\n gap: 1\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.20327522344517,"grid_size":{"height":5,"width":3},"id":"8635ff1b1bcf0c2e","polyshapes":"{\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","A-P","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","o-Y","G","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","*-P","+"],[".","+","+","+","+","+","+"],["+","o-Y","+","N","+","N","+"],["+","+","+","+","+","+","S"],["E","D-Y","+","N","+","P-P-1808","+"],["+","+","+","G","+","+","."]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":38},{"index":1,"path":[{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":42}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 6\n y: 8\n end:\n x: 0\n y: 9\n cells:\n - position:\n x: 0\n y: 6\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"triangle\"\n count: 4\n color: \"yellow\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 10\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"purple\"\n - position:\n x: 6\n y: 10\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"21df75919e7080e4","polyshapes":"{}","puzzle_array":[["S","+","+","+","+"],["+","B-B","+","o-B","+"],["+","+","+","+","+"],["+","o-B","+","B-B","+"],["+","+","+","+","E"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":17},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":9},{"index":2,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":9},{"index":3,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":9},{"index":4,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":9},{"index":5,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n"} {"difficulty_level":5,"difficulty_score":4.7821246454854265,"grid_size":{"height":3,"width":5},"id":"daa2db8c01da0bfa","polyshapes":"{\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","S","+","+","+","+","+","+","+","+"],["+","B-W","+","o-W","+","o-W","+","N","+","Y-O-18","+"],["+","+","+","+","+","+","+","+","+","+","E"],["+","o-W","+","N","+","N","+","N","+","P-O-816","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","o-W","+","N","+","o-W","+","P-W-560","+","o-G","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":39},{"index":1,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":43}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 2\n y: 0\n end:\n x: 10\n y: 2\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"white\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"orange\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"orange\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"square\"\n color: \"green\"\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":6,"width":2},"id":"6443d25f8c289548","polyshapes":"{}","puzzle_array":[["+","G","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","o-Y","+","o-Y","+"],["+","+","+","G","+"],["+","o-Y","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","o-O","+","o-K","+"],["+","+","+","+","E"],["+","o-O","+","N","+"],["+","+","+","S","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":22},{"index":1,"path":[{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 3\n y: 12\n end:\n x: 4\n y: 10\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"black\"\n"} {"difficulty_level":5,"difficulty_score":4.585021118143553,"grid_size":{"height":4,"width":5},"id":"91158b440e1d1942","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]],\"8976\":[[0,1,1,0],[0,0,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","S","+","+","+","+","+","+","+","+"],["+","P-P-112","+","N","+","*-Y","+","N","+","P-P-240","+"],["+","G","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","o-Y","+"],["+","+","+","+","+","+","+","G","+","+","+"],["+","*-P","+","o-Y","+","N","+","N","+","*-Y","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","P-Y-8976","+","N","+","N","+","N","+","N","+"],["+","+","+","E","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8}],"pathLength":44},{"index":1,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8}],"pathLength":48}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 2\n y: 0\n end:\n x: 3\n y: 8\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"purple\"\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 8976\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 7\n y: 4\n properties:\n gap: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"purple\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n"} {"difficulty_level":2,"difficulty_score":1.1568457111547232,"grid_size":{"height":2,"width":5},"id":"1ba6ec5d1f0c3bc6","polyshapes":"{\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+",".","G","+","+","+"],["+","N","+","N","+","N","+","P-O-784","+","*-O","+"],["+",".","+","+","+","+","+","+","+","+","+"],["E","N","+","N","+","N","+","N","+","N","G"],["+","+","+","+","+","G","+","+","+","+","S"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":28},{"index":1,"path":[{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":24},{"index":2,"path":[{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":18},{"index":3,"path":[{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":18},{"index":4,"path":[{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 10\n y: 4\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 6\n y: 0\n properties:\n dot: 1\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"orange\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 10\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.775618056564669,"grid_size":{"height":5,"width":4},"id":"de0f40e0c4c5852a","polyshapes":"{\"1856\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-K-800","+","o-Y","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-P-1856","+","o-Y","+"],["+","G","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","o-R","+","N","+"],["+",".","+","+","+","+","+","+","+"],["E","N","+","N","+","N","+","N","+"],["+","+","+","+","S","+","+","+","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":40},{"index":1,"path":[{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":42},{"index":2,"path":[{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":40},{"index":3,"path":[{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":42},{"index":4,"path":[{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":40},{"index":5,"path":[{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":42},{"index":6,"path":[{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":44},{"index":7,"path":[{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 4\n y: 10\n end:\n x: 0\n y: 9\n cells:\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 8\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"black\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1856\n color: \"purple\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":4,"difficulty_score":3.2021016488951353,"grid_size":{"height":3,"width":5},"id":"7c2cc9e25acdc10f","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","+","G","+"],[".","N","+","o-K","+","N","+","N",".","o-K","+"],["+","+","+","+","+","+","+","G","+","+","E"],["+","N","+","N","G","N","+","N","+","o-K","+"],["+","+","+","+","+","+","+","+","+",".","+"],["+","N","+","N","+","o-K","+","*-K","+","*-K","+"],["+","+","+","+","+","S","+","+","+","+","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":34},{"index":1,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":34},{"index":2,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":38},{"index":3,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":38},{"index":4,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":38},{"index":5,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":38},{"index":6,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":38},{"index":7,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":38}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 5\n y: 6\n end:\n x: 10\n y: 2\n cells:\n - position:\n x: 0\n y: 1\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 7\n y: 2\n properties:\n gap: 1\n - position:\n x: 7\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 8\n y: 1\n properties:\n dot: 1\n - position:\n x: 9\n y: 0\n properties:\n gap: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 9\n y: 4\n properties:\n dot: 1\n - position:\n x: 9\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n"} {"difficulty_level":5,"difficulty_score":4.942756515090684,"grid_size":{"height":6,"width":5},"id":"146a216115846f70","polyshapes":"{\"1824\":[[0,0,1,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","o-Y","+","N","+","N","+","N","+"],["E","+","+","+","+","+","+","+","+","+","+"],["+","N","G","N","+","N","+","P-P-816","+","o-Y","S"],["+","+","+","+","+","+","+","+","+","+","+"],["+","o-Y","+","N","G","N","+","o-Y","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","P-P-800","+","N","G"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","o-Y","+","N","+","P-Y-1824","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","o-Y","+","o-P","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":30,"solutions":[{"index":0,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":42},{"index":1,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":42},{"index":2,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":50},{"index":3,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":54},{"index":4,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":58},{"index":5,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":62},{"index":6,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":66},{"index":7,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":42},{"index":8,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":46},{"index":9,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":46},{"index":10,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":50},{"index":11,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":54},{"index":12,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":58},{"index":13,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":62},{"index":14,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":58},{"index":15,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":58},{"index":16,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":66},{"index":17,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":58},{"index":18,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":62},{"index":19,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":62},{"index":20,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":54},{"index":21,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":54},{"index":22,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":58},{"index":23,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":58},{"index":24,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":66},{"index":25,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":70},{"index":26,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":58},{"index":27,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":62},{"index":28,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":62},{"index":29,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":66}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 6\n start:\n x: 10\n y: 3\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"purple\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"purple\"\n - position:\n x: 7\n y: 9\n properties:\n type: \"poly\"\n polyshape: 1824\n color: \"yellow\"\n - position:\n x: 7\n y: 11\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 9\n y: 11\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 10\n y: 7\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.3482828412566676,"grid_size":{"height":3,"width":3},"id":"704931925890a56c","polyshapes":"{\"4960\":[[0,0,1,1],[0,1,1,0],[0,1,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","G","+","+","+","+","+"],["+","N","+","P-G-4960","+","N","+"],["+","+","+","G","+","+","+"],[".","N","+","N","+","N","G"],["S","+","+","+","+","+","+"],["+","N","+","*-P","+","P-P-800","+"],["+","E","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 4\n end:\n x: 1\n y: 6\n cells:\n - position:\n x: 0\n y: 3\n properties:\n dot: 1\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4960\n color: \"green\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"purple\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.6851996412216317,"grid_size":{"height":3,"width":6},"id":"22c41f4911d10461","polyshapes":"{\"29216\":[[0,0,0,1],[0,1,1,1],[0,0,0,1],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","G","+","+",".","+","+"],["+","N","+","N","+","N","+","N","+","N","+","N","+"],[".","+","+","+","+","+","+","+","+","+","+","+","S"],["+","N","+","N","+","N","+","P-R-29216","+","N","+","o-R","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","E","+","+","+",".","+","+","+","+","+"]],"solution_count":17,"solutions":[{"index":0,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":44},{"index":1,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":44},{"index":2,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":40},{"index":3,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":48},{"index":4,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":44},{"index":5,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":40},{"index":6,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":40},{"index":7,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":44},{"index":8,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":44},{"index":9,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":48},{"index":10,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":44},{"index":11,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":44},{"index":12,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":44},{"index":13,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":44},{"index":14,"path":[{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":44},{"index":15,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":48},{"index":16,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":52}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 12\n y: 2\n end:\n x: 3\n y: 6\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 29216\n color: \"red\"\n - position:\n x: 7\n y: 6\n properties:\n dot: 1\n - position:\n x: 10\n y: 0\n properties:\n dot: 1\n - position:\n x: 11\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n"} {"difficulty_level":2,"difficulty_score":1.2786814139142284,"grid_size":{"height":3,"width":4},"id":"75761871763e88e3","polyshapes":"{\"1872\":[[0,1,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","S"],["+","N","+","N","+","P-O-304","+","N","+"],["E","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","P-O-1872","+"],["+","+","+","+","+","+","+","+","+"],["+","P-O-800","+","N","G","N","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":35},{"index":1,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 8\n y: 0\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"orange\"\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"orange\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1872\n color: \"orange\"\n"} {"difficulty_level":1,"difficulty_score":0.7504433904617844,"grid_size":{"height":2,"width":2},"id":"fee7fa98ecbf4534","polyshapes":"{}","puzzle_array":[["+","+","S","+","+"],["+","N","+","o-Y","+"],["+","+","+","+","+"],["+","o-Y",".","o-Y","+"],["+","+","+","+","E"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":11},{"index":1,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":15},{"index":2,"path":[{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":11},{"index":3,"path":[{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":7}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 2\n y: 0\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":4,"difficulty_score":3.756154209198361,"grid_size":{"height":3,"width":5},"id":"3abef01e5d890e13","polyshapes":"{\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]],\"25376\":[[0,0,1,0],[0,1,1,1],[0,0,0,1],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["E","A-G","+","P-G-304","+","P-G-25376","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","o-W","+","N","+","N","+","N","+","P-G-1808","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","P-G-4368","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","S"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":16},{"index":1,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":16},{"index":2,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":24},{"index":3,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":36},{"index":4,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":24},{"index":5,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":36},{"index":6,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":32},{"index":7,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 10\n y: 6\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"green\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 25376\n color: \"green\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"green\"\n"} {"difficulty_level":2,"difficulty_score":1.2634731726971373,"grid_size":{"height":5,"width":2},"id":"a71c3513799bf094","polyshapes":"{}","puzzle_array":[["+","+","+",".","+"],["+","o-Y","+","o-B","+"],["+",".","+","+","+"],["+","N","+","N","+"],["+","+","+","+","."],["+","o-B","+","N","+"],["+","+",".","+","+"],["+","N","+","o-Y","G"],["+","+","+","+","S"],["+","N","+","N","+"],["+",".","+","+","E"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":31},{"index":1,"path":[{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 4\n y: 8\n end:\n x: 4\n y: 10\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 10\n properties:\n dot: 1\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 4\n y: 7\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.0165634985587255,"grid_size":{"height":2,"width":5},"id":"3b229c1d0453a603","polyshapes":"{}","puzzle_array":[["S","+","+","+","+","+","+","+","+","+","+"],["+","N","+","o-P","+","N","+","N","G","A-P","+"],["E","+","+","+","+","+","+","+","+","+","+"],["+","N","+","*-P","+","N","+","N","+","N","+"],[".","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":27},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n"} {"difficulty_level":1,"difficulty_score":0.287075054550843,"grid_size":{"height":2,"width":3},"id":"ba867d9c182c1124","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","+","+","+","+","E"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","P-G-816","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":16},{"index":1,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":14}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 1\n y: 0\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"green\"\n"} {"difficulty_level":4,"difficulty_score":3.8775487020026596,"grid_size":{"height":3,"width":6},"id":"22ee8177bb6b927d","polyshapes":"{}","puzzle_array":[["+","+","+","+","+",".","+","S","+","+","+","+","+"],["+","N",".","N","+","N","+","o-Y","+","N","+","o-P","G"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","A-Y","+","N","+","B-Y","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["G","o-Y","+","A-Y","+","A-Y","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","E"]],"solution_count":20,"solutions":[{"index":0,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6}],"pathLength":38},{"index":1,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":34},{"index":2,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":34},{"index":3,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6}],"pathLength":34},{"index":4,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6}],"pathLength":42},{"index":5,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6}],"pathLength":38},{"index":6,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":34},{"index":7,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6}],"pathLength":38},{"index":8,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":34},{"index":9,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6}],"pathLength":34},{"index":10,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":36},{"index":11,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6}],"pathLength":36},{"index":12,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6}],"pathLength":36},{"index":13,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":40},{"index":14,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":32},{"index":15,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":36},{"index":16,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6}],"pathLength":32},{"index":17,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6}],"pathLength":32},{"index":18,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":36},{"index":19,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":40}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 7\n y: 0\n end:\n x: 12\n y: 6\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 11\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 12\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.21396079080619634,"grid_size":{"height":2,"width":2},"id":"200a2fdec77f69b6","polyshapes":"{}","puzzle_array":[["+","G","+","E","."],["+","N","+","N","+"],["+","+","+","G","+"],["+","o-K","+","N","+"],["S","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":10},{"index":1,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":14}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 4\n y: 0\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":6,"width":2},"id":"4c7b5bd02c9270d","polyshapes":"{\"624\":[[0,1,0,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","G","+"],["+","*-K","+","N","S"],["+","+","+","+","+"],["+","*-K","+","P-Y-624","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["G","N","+","N","+"],["+","+","+","+","+"],["+","N","G","N","E"],["+","+","+","+","+"],["+","N","+","P-K-784","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9}],"pathLength":39}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 1\n end:\n x: 4\n y: 9\n cells:\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 2\n y: 9\n properties:\n gap: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 624\n color: \"yellow\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"black\"\n"} {"difficulty_level":1,"difficulty_score":0.4586550246401705,"grid_size":{"height":3,"width":2},"id":"efb560f2141edf82","polyshapes":"{\"1856\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","E","+"],["+","P-W-48","+","N","+"],["+","+","+","+","+"],["+","N","+","P-W-1856","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":4},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":22},{"index":2,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":12},{"index":3,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 0\n y: 0\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1856\n color: \"white\"\n"} {"difficulty_level":5,"difficulty_score":4.560571268691486,"grid_size":{"height":5,"width":3},"id":"b7b817f9033f188","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","o-K","+","P-G-4368","+"],["+","+","+","+","+","+","+"],["+","*-Y","+","N","G","N","+"],["E","G","+","+","+","+","+"],["+","N","+","o-K","+","o-Y","+"],["+","+","+","+","+","+","+"],["+","N","+","o-K","+","N","+"],["+","+","+","+","+","+","+"],["+","A-G","+","N","+","D-K","+"],["+","+","+","+","+","S","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 5\n y: 10\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"green\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"triangle\"\n count: 4\n color: \"black\"\n"} {"difficulty_level":3,"difficulty_score":2.2884364796340195,"grid_size":{"height":4,"width":2},"id":"4cc3d963aecb0aec","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["E","*-B","+","P-B-304","+"],["+","+","+","+","+"],["+","N","+","N","G"],["+","+","+","+","+"],["+","o-B","+","*-B","G"],["+","G","+","+","+"],["+","N","+","N","+"],["+","+","+","+","S"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":22},{"index":1,"path":[{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 8\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.756154209198361,"grid_size":{"height":3,"width":5},"id":"6a4a59d9017e80e2","polyshapes":"{\"1392\":[[0,1,1,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"28944\":[[0,1,1,1],[0,0,0,1],[0,0,0,1],[0,0,0,0]],\"4370\":[[0,1,1,1],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","E","+","+","+","S","+","+","+"],["+","o-G","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","P-Y-28944","+","N","+","N","+","N","+","P-G-16","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","Y-P-4370","+","N","+","P-G-816","+","N","+","P-Y-1392","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":45},{"index":1,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":17},{"index":2,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 7\n y: 0\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 28944\n color: \"yellow\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"ylop\"\n polyshape: 4370\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"green\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"green\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1392\n color: \"yellow\"\n"} {"difficulty_level":4,"difficulty_score":3.7152086377389058,"grid_size":{"height":2,"width":6},"id":"a483b2ad65b79823","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["E","o-B","+","*-B","+","N","+","o-K","+","o-K","G","o-K","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","o-P","+","o-P","+","o-K","+","o-P","S"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":7,"solutions":[{"index":0,"path":[{"x":12,"y":3},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":23},{"index":1,"path":[{"x":12,"y":3},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":27},{"index":2,"path":[{"x":12,"y":3},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":27},{"index":3,"path":[{"x":12,"y":3},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":27},{"index":4,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":43},{"index":5,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":39},{"index":6,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 12\n y: 3\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 10\n y: 1\n properties:\n gap: 1\n - position:\n x: 11\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":6,"width":2},"id":"c611d73335c05ea3","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","S"],["+","N","+","P-P-864","+"],["+","+","+",".","+"],["+","*-P","+","N","+"],["+","+","+","+","."],["+","N","+","P-P-864","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","P-P-800","+"],["+","+","+","E","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12}],"pathLength":34},{"index":1,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 2\n end:\n x: 3\n y: 12\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"purple\"\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"purple\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"purple\"\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":2,"width":3},"id":"9fc7d6795a3be635","polyshapes":"{}","puzzle_array":[["S","+","+","+","+","+","+"],["+","*-P","+","N","+","N","+"],["+","G","+","+","+","+","+"],["+","*-P","+","N","G","o-K","G"],["+","+","+","+","+","+","E"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4}],"pathLength":19},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4}],"pathLength":15},{"index":2,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4}],"pathLength":11},{"index":3,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 6\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.9650488489577045,"grid_size":{"height":4,"width":2},"id":"9b4f3b36495c1615","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["E","o-R","+","P-O-800","+"],["+","+","+","+","+"],["+","N","+","o-W","+"],["+","+","+","+","+"],["+","o-R","+","o-R","G"],["+","+","+","+","+"],["+","o-R","+","o-R","+"],["+","+","+","S","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":23},{"index":1,"path":[{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":23},{"index":2,"path":[{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":25},{"index":3,"path":[{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 3\n y: 8\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.0644562175665646,"grid_size":{"height":2,"width":4},"id":"1b62c846b90e5d1d","polyshapes":"{\"4880\":[[0,1,1,1],[0,0,1,0],[0,0,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","*-O","+","P-K-4880","+","*-K","+","P-K-800","E"],["+","+","+","+","+","+","+","+","+"],["S","N","+","*-O","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":17},{"index":1,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 0\n y: 3\n end:\n x: 8\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4880\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"black\"\n"} {"difficulty_level":1,"difficulty_score":0.21396079080619634,"grid_size":{"height":2,"width":2},"id":"934d99322aa22dff","polyshapes":"{\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+",".","+","+","+"],["S","N","+","P-O-784","+"],["+","+","+","G","+"],["E","N","+","N","."],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"orange\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.7134671280606637,"grid_size":{"height":3,"width":3},"id":"cd5b6b24c51fb69a","polyshapes":"{}","puzzle_array":[["E","+","+","+","+","+","+"],["+","N","+","B-G","+","o-G","G"],["+","G","+","+","+","G","+"],["+","N","+","N","+","A-G","+"],["+","+","+","+","+","+","S"],["G","o-G","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":19},{"index":1,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":19},{"index":2,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":15},{"index":3,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":15}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 4\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 5\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.9959193839161515,"grid_size":{"height":5,"width":4},"id":"bb9d7db6f55f1f1e","polyshapes":"{\"12560\":[[0,1,1,1],[0,0,0,1],[0,0,0,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+",".","+","+","+","+","E"],["+","N","+","N","+","B-P","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-P-560","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N",".","P-P-12560","+","*-P","+","N","+"],["+","+","+","+",".","+","+","+","."],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","S"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":59},{"index":1,"path":[{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":55},{"index":2,"path":[{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":55},{"index":3,"path":[{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":55}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 8\n y: 10\n end:\n x: 8\n y: 0\n cells:\n - position:\n x: 2\n y: 7\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 12560\n color: \"purple\"\n - position:\n x: 4\n y: 8\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"purple\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 8\n y: 8\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.7615628070977487,"grid_size":{"height":2,"width":3},"id":"d1e03bb313e747a9","polyshapes":"{}","puzzle_array":[[".","+","S","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+",".","+","+","+"],["E","N","+","o-W","+","A-P","+"],[".","+","+","+",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 2\n y: 0\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n"} {"difficulty_level":2,"difficulty_score":1.1568457111547232,"grid_size":{"height":2,"width":5},"id":"e1b6f8b19d2f4176","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","+","+","G","+","+","E"],["+","*-Y","+","N","G","P-Y-4368","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+",".","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":35},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":31},{"index":2,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":31},{"index":3,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 10\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"yellow\"\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.287075054550843,"grid_size":{"height":2,"width":3},"id":"c09ea70a605760d3","polyshapes":"{}","puzzle_array":[["S","+",".","+","+",".","+"],["+","N","+","o-Y",".","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["E","+","+",".","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.588394430875379,"grid_size":{"height":3,"width":6},"id":"58a0f5bca3ff514c","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","*-K","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","G","A-K","+","*-R","+","N","+","B-P","+","P-K-816","+"],["+",".","+","+","+","+","+","+","+","+","+","+","+"],["+","o-R","+","N","+","o-R","+","N","+","N","+","N","+"],["+","+","+","G","+","+","+","+","+","+","E","+","+"]],"solution_count":10,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6}],"pathLength":33},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6}],"pathLength":45},{"index":2,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6}],"pathLength":41},{"index":3,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6}],"pathLength":41},{"index":4,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6}],"pathLength":37},{"index":5,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6}],"pathLength":29},{"index":6,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6}],"pathLength":41},{"index":7,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6}],"pathLength":37},{"index":8,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6}],"pathLength":37},{"index":9,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6}],"pathLength":33}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 0\n y: 0\n end:\n x: 10\n y: 6\n cells:\n - position:\n x: 1\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"black\"\n"} {"difficulty_level":4,"difficulty_score":3.425437954996753,"grid_size":{"height":2,"width":6},"id":"625730bf3883005c","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","E","+","+","+","+","+","+","+","+","+"],["+","P-G-816","+","*-P","+","P-K-48","+","P-W-48","+","N","+","N","+"],["+","+","+","G","+","G","+","G","+","+","+","+","+"],["+","*-P","+","N","G","N","+","*-W","+","*-K","+","P-K-816","S"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":12,"y":3},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":27},{"index":1,"path":[{"x":12,"y":3},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":27},{"index":2,"path":[{"x":12,"y":3},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":21},{"index":3,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":15},{"index":4,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":15},{"index":5,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 12\n y: 3\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"black\"\n - position:\n x: 5\n y: 2\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 7\n y: 2\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"black\"\n"} {"difficulty_level":1,"difficulty_score":0.05528195095328203,"grid_size":{"height":2,"width":2},"id":"8211b75bfb0c714d","polyshapes":"{}","puzzle_array":[["S","G","+","+","+"],["+","N","+","N","G"],["+","+","+","+","+"],["G","N","G","N","+"],["+","E","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":12}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 1\n y: 4\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.6186286874773463,"grid_size":{"height":2,"width":3},"id":"12adf37a767b56ea","polyshapes":"{\"4880\":[[0,1,1,1],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["S","N","+","o-K","G","N","+"],["+","+","+","+","+","+","+"],["+","o-G","+","P-O-4880","+","o-Y","G"],["+","E","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 1\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4880\n color: \"orange\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.4586550246401705,"grid_size":{"height":2,"width":3},"id":"4582b19904d9a029","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"9008\":[[0,1,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","G","+"],["+","P-B-9008","+","N","+","P-O-16","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","E","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4}],"pathLength":12},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4}],"pathLength":10}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 5\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 9008\n color: \"blue\"\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n"} {"difficulty_level":2,"difficulty_score":1.7748875334504164,"grid_size":{"height":6,"width":2},"id":"62035ff8ad16cb71","polyshapes":"{\"624\":[[0,1,0,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","E"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","P-Y-624","+","N","+"],["+","+","+","+","."],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","G"],["+","+","+","+","S"],[".","*-B","+","P-B-800","+"],["+","+","+","+","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":31},{"index":1,"path":[{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":31},{"index":2,"path":[{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":31},{"index":3,"path":[{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":35},{"index":4,"path":[{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":39},{"index":5,"path":[{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":35},{"index":6,"path":[{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":31},{"index":7,"path":[{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 10\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 0\n y: 11\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 624\n color: \"yellow\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"blue\"\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n - position:\n x: 4\n y: 9\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.0747041653866587,"grid_size":{"height":4,"width":3},"id":"5c3f4379847796c4","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","S"],["+","N","+","N","+","P-R-4368","+"],["+","+","+","+","+","+","+"],["+","N","+","A-R","+","N","+"],["+","+","+","G","+","+","+"],["+","N","+","N","+","o-R","+"],["+","+","+","+","+","+","+"],["+","A-R","+","N","+","o-R","+"],["+","+","+","+","+","+","E"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":29},{"index":1,"path":[{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":29},{"index":2,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":21},{"index":3,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8}],"pathLength":25},{"index":4,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8}],"pathLength":29},{"index":5,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8}],"pathLength":21},{"index":6,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8}],"pathLength":25},{"index":7,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 6\n y: 0\n end:\n x: 6\n y: 8\n cells:\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"red\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n"} {"difficulty_level":1,"difficulty_score":0.7615628070977487,"grid_size":{"height":3,"width":2},"id":"bc71d833fad658fb","polyshapes":"{}","puzzle_array":[[".","+","+","+","+"],["+","o-W","+","N","+"],["+","+","+","+","E"],["+","N","+","A-R","+"],["+","+","+","+","+"],["+","N","+","N","S"],["+","+","+","+","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2}],"pathLength":16},{"index":1,"path":[{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2}],"pathLength":20},{"index":2,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2}],"pathLength":22},{"index":3,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2}],"pathLength":18},{"index":4,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2}],"pathLength":18},{"index":5,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 5\n end:\n x: 4\n y: 2\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n"} {"difficulty_level":2,"difficulty_score":1.6357116736429378,"grid_size":{"height":4,"width":2},"id":"77da6edaa689f44a","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","S"],["+","o-P","+","N","+"],["+","+","+","+","+"],["G","N","+","o-P","+"],["+","+","+","+","+"],["+","N","+","P-O-800","+"],["+","+","+","G","E"],["+","N","+","o-O","+"],["+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":27},{"index":1,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":23},{"index":2,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 0\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"orange\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"orange\"\n"} {"difficulty_level":4,"difficulty_score":3.629682706365239,"grid_size":{"height":4,"width":4},"id":"7326259652efbc9d","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","*-G","+","N","+","P-G-560","+","o-G","E"],["+","+","+","G","+","+","+","+","+"],["+","N",".","N","+","N","G","*-G","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","*-G","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","G"],["+","+","+","+","+","+","+","S","+"]],"solution_count":15,"solutions":[{"index":0,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":41},{"index":1,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":41},{"index":2,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1}],"pathLength":43},{"index":3,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":41},{"index":4,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":37},{"index":5,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":41},{"index":6,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":37},{"index":7,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":45},{"index":8,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":41},{"index":9,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":37},{"index":10,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":45},{"index":11,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":45},{"index":12,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":45},{"index":13,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":45},{"index":14,"path":[{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1}],"pathLength":41}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 7\n y: 8\n end:\n x: 8\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"green\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 8\n y: 7\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":6,"width":2},"id":"85f95e3fbcd76abb","polyshapes":"{}","puzzle_array":[["+","+","E","S","+"],["+","N","+","N","+"],["+","G","+","+","+"],["+","N","+","o-R","+"],["+","G","+","+","+"],["+","N","+","*-R","+"],["+","+","+","+","+"],[".","o-R","+","*-R","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],[".","N","+","N","+"],["+","+",".","+","+"]],"solution_count":9,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":40},{"index":1,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":36},{"index":2,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":36},{"index":3,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":40},{"index":4,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":36},{"index":5,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":36},{"index":6,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":36},{"index":7,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":36},{"index":8,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 3\n y: 0\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 0\n y: 7\n properties:\n dot: 1\n - position:\n x: 0\n y: 11\n properties:\n dot: 1\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 2\n y: 12\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"red\"\n"} {"difficulty_level":5,"difficulty_score":4.766348731985321,"grid_size":{"height":6,"width":4},"id":"bb667cb09578b4a3","polyshapes":"{\"1136\":[[0,1,0,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"4960\":[[0,0,1,1],[0,1,1,0],[0,1,0,0],[0,0,0,0]],\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+","+","+","+","S"],["+","N","+","P-R-4960","+","o-K","+","o-R","+"],["+","+","+","G","+","+","+","+","+"],["+","N","+","N","+","o-R","+","P-R-864","+"],["+","+","+","+","+","+","+","+","+"],["G","N","+","P-O-48","+","o-R","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","P-K-1136","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","o-R","+","o-B","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":53}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 6\n start:\n x: 8\n y: 0\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 1136\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4960\n color: \"red\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"orange\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"red\"\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"ad8f394763490f26","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","E","+"],["+","o-W","+","o-P","+"],["+","+","+","+","+"],["+","P-P-48","+","P-W-48","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":14},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":12}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n"} {"difficulty_level":3,"difficulty_score":2.443232198252384,"grid_size":{"height":5,"width":2},"id":"3d1c8a00f582892","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"1136\":[[0,1,0,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","P-P-112","+"],["+","+","+","+","+"],["E","N","+","A-P","+"],["+","+","+","+","+"],["+","N","+","o-P","S"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","P-P-1136","+","N","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 4\n y: 5\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 1136\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":1,"difficulty_score":0.5966247021154863,"grid_size":{"height":2,"width":5},"id":"b10c07139b1aa490","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","S","+","+","+"],["+","N","G","N","+","A-R","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","G","N","G"],["+","E",".","+","+","+","+","+","+","+","+"]],"solution_count":15,"solutions":[{"index":0,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":19},{"index":1,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":15},{"index":2,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":11},{"index":3,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":17},{"index":4,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":15},{"index":5,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":17},{"index":6,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":17},{"index":7,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":23},{"index":8,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":31},{"index":9,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":29},{"index":10,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":13},{"index":11,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":13},{"index":12,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":19},{"index":13,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":27},{"index":14,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 7\n y: 0\n end:\n x: 1\n y: 4\n cells:\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n - position:\n x: 10\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.57383007385811,"grid_size":{"height":3,"width":2},"id":"5d259263ec5a5c9e","polyshapes":"{\"1136\":[[0,1,0,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","o-O","+","o-W","+"],["+","+","+","+","S"],["+","o-O","+","P-W-48","+"],["+","+","+","+","+"],["E","*-G","+","P-G-1136","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":18},{"index":1,"path":[{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 2\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1136\n color: \"green\"\n"} {"difficulty_level":3,"difficulty_score":2.5246020785279892,"grid_size":{"height":3,"width":3},"id":"62d5ef592f8f91fc","polyshapes":"{}","puzzle_array":[["E","+","+","+","+","+","+"],["+","N","+","N","+","o-R","G"],["+","+","+","+","+","+","+"],["+","N",".","o-R","+","o-R","+"],["+","+","+","+","+","+","+"],["G","o-R","+","o-R","+","B-R","+"],["S",".","+","+","+","+","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":23},{"index":1,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":27},{"index":2,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":23},{"index":3,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":23},{"index":4,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":23},{"index":5,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 6\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 6\n properties:\n dot: 1\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.7841281695300297,"grid_size":{"height":2,"width":5},"id":"be49f0eca3cd4c32","polyshapes":"{}","puzzle_array":[[".","+","E","G","+","+","+","S","+","+","+"],["+","N","+","N","+","N","+","o-W","+","o-W","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","."]],"solution_count":48,"solutions":[{"index":0,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":30},{"index":1,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":30},{"index":2,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":34},{"index":3,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":34},{"index":4,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":26},{"index":5,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":26},{"index":6,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":26},{"index":7,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":30},{"index":8,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":30},{"index":9,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":30},{"index":10,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":30},{"index":11,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":34},{"index":12,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":24},{"index":13,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":24},{"index":14,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":24},{"index":15,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":16,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":24},{"index":17,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":18,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":19,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":20,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":21,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":32},{"index":22,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":32},{"index":23,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":32},{"index":24,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":24},{"index":25,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":26,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":27,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":28,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":29,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":32},{"index":30,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":32},{"index":31,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":32},{"index":32,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":33,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":34,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":35,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":32},{"index":36,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":24},{"index":37,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":24},{"index":38,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":24},{"index":39,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":40,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":24},{"index":41,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":42,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":43,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":44,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":45,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":32},{"index":46,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":32},{"index":47,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 7\n y: 0\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 10\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.4716188392703644,"grid_size":{"height":5,"width":2},"id":"220246750ec56ccb","polyshapes":"{\"3968\":[[0,0,1,0],[0,0,1,0],[0,0,1,0],[0,1,1,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","P-Y-3968","+"],["+","+","+","+","+"],["+","*-Y","+","N","+"],["+","+","+","+","+"],["E","*-Y","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["S","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7}],"pathLength":24},{"index":1,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 10\n end:\n x: 0\n y: 7\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 3968\n color: \"yellow\"\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"f425a63fc423ced0","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","o-P","+","o-P","+"],["+","+","+","+","+"],["S","o-P","+","P-P-800","E"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 3\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"purple\"\n"} {"difficulty_level":5,"difficulty_score":4.588394430875379,"grid_size":{"height":3,"width":6},"id":"b3e3c52cd5223942","polyshapes":"{\"29760\":[[0,0,0,1],[0,0,0,1],[0,1,1,1],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","S","+","+","+","+","+","+","E","+"],["+","N","+","A-G","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","o-G","+","N","+","N","+","*-G","+","N",".","o-G","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","*-G","+","P-G-29760","+","*-G","+","N","+","N","+"],["+",".","+","+","+","+","+","+",".","+","+","+","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":12,"y":3},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0}],"pathLength":46},{"index":1,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":12,"y":3},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0}],"pathLength":46},{"index":2,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0}],"pathLength":46},{"index":3,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0}],"pathLength":44},{"index":4,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0}],"pathLength":42},{"index":5,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0}],"pathLength":40}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 4\n y: 0\n end:\n x: 11\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 1\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 29760\n color: \"green\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 8\n y: 6\n properties:\n dot: 1\n - position:\n x: 10\n y: 3\n properties:\n dot: 1\n - position:\n x: 11\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n"} {"difficulty_level":4,"difficulty_score":3.8987471660389614,"grid_size":{"height":3,"width":3},"id":"ce576f59fcd8e5b5","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","B-K","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","B-K","+","*-K","+","N","+"],["E","+","+","G","+","+","+"],["+","o-K","+","o-R","+","P-K-560","S"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 5\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"black\"\n"} {"difficulty_level":4,"difficulty_score":3.629682706365239,"grid_size":{"height":4,"width":4},"id":"d71204c97803d9a","polyshapes":"{\"139824\":[[0,1,0,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","+","+","+","+"],["+","*-G","+","*-G","+","N","+","N","G"],["+","+",".","+","+","+",".","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","B-P","+","N","G","N","+"],["+","+","+","+","+","+","+","+","+"],["+","P-W-139824","+","*-W","+","N","+","N","+"],["+","+","+","+","+","+","E","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8}],"pathLength":27},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8}],"pathLength":35},{"index":2,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 0\n y: 0\n end:\n x: 6\n y: 8\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 139824\n color: \"white\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n - position:\n x: 6\n y: 5\n properties:\n gap: 1\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.8103313509722974,"grid_size":{"height":2,"width":6},"id":"cc4ff7682e293a1b","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"4896\":[[0,0,1,1],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[[".","+","+","+","+","+","+","+","S","+","+","+","+"],["+","N","+","P-B-16","+","N","+","N","+","N","+","P-G-48","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["E","P-Y-4896","+","P-B-16","+","N","+","P-K-816","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":12},{"index":1,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":16},{"index":2,"path":[{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":28},{"index":3,"path":[{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 8\n y: 0\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4896\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"blue\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"black\"\n - position:\n x: 11\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"green\"\n"} {"difficulty_level":2,"difficulty_score":1.0472240452167707,"grid_size":{"height":2,"width":6},"id":"b25e33c50909fc03","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","P-Y-560","+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-Y-816","+","N","+","N","+","N","+"],["+","+","+","+","+","S","+","+","+","+","+","+","E"]],"solution_count":10,"solutions":[{"index":0,"path":[{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4}],"pathLength":26},{"index":1,"path":[{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4}],"pathLength":30},{"index":2,"path":[{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4}],"pathLength":34},{"index":3,"path":[{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4}],"pathLength":30},{"index":4,"path":[{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4}],"pathLength":34},{"index":5,"path":[{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4}],"pathLength":38},{"index":6,"path":[{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4}],"pathLength":24},{"index":7,"path":[{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4}],"pathLength":20},{"index":8,"path":[{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4}],"pathLength":20},{"index":9,"path":[{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 5\n y: 4\n end:\n x: 12\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"yellow\"\n"} {"difficulty_level":5,"difficulty_score":4.463473360572837,"grid_size":{"height":3,"width":4},"id":"f271fc95525040b1","polyshapes":"{\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"4464\":[[0,1,1,1],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"50\":[[0,1,0,0],[1,1,0,0],[0,0,0,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["E","N","+","P-K-48","+","N","+","P-P-816","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","Y-P-18","+","A-R","+","*-R","+"],["+","+","+","+","+","+","+","+","+"],["+","P-Y-560","+","N","+","Y-B-50","+","P-B-4464","+"],["+","+","+","+","+","+","S",".","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 6\n y: 6\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"ylop\"\n polyshape: 50\n color: \"blue\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"poly\"\n polyshape: 4464\n color: \"blue\"\n - position:\n x: 7\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.05528195095328203,"grid_size":{"height":2,"width":2},"id":"9390c84b6360b4bb","polyshapes":"{}","puzzle_array":[["S","G","+","+","+"],["+","N","+","N","+"],["+","+","+","G","+"],["G","N","G","N","+"],["E","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.933649783517817,"grid_size":{"height":6,"width":4},"id":"a454bd9c3ad0168a","polyshapes":"{\"17968\":[[0,1,0,0],[0,1,1,0],[0,0,1,1],[0,0,0,0]],\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"1824\":[[0,0,1,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+",".","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+",".","+",".","+","+"],["+","N","+","N","+","N","+","A-B","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","*-B","+","P-B-17968","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","Y-K-18","+","N","+"],["+","+",".","+","+","+","+","+","+"],["+","N","+","P-O-1824","+","N","+","o-B","+"],["+","+","+","+",".","+","+","+","+"],["+","N","+","N","+","P-G-48","+","N","+"],["E","+","+","+","+","+","S","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12}],"pathLength":51},{"index":1,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12}],"pathLength":55},{"index":2,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12}],"pathLength":51},{"index":3,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12}],"pathLength":51},{"index":4,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12}],"pathLength":51}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 6\n start:\n x: 6\n y: 12\n end:\n x: 0\n y: 12\n cells:\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 2\n y: 8\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 1824\n color: \"orange\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 4\n y: 10\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 17968\n color: \"blue\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"black\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"green\"\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 7\n y: 9\n properties:\n type: \"square\"\n color: \"blue\"\n"} {"difficulty_level":1,"difficulty_score":0.842447049854198,"grid_size":{"height":6,"width":2},"id":"db130c08db23e907","polyshapes":"{}","puzzle_array":[["S","G","+","+","+"],["+","N","+","N","+"],["+","+","+","G","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","A-B","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","G","+","+","."],["E","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":48,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":32},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":36},{"index":2,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":36},{"index":3,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":36},{"index":4,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":26},{"index":5,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":6,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":32},{"index":7,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":28},{"index":8,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":9,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":30},{"index":10,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":28},{"index":11,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":38},{"index":12,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":28},{"index":13,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":28},{"index":14,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":34},{"index":15,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":16,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":32},{"index":17,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":28},{"index":18,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":19,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":28},{"index":20,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":28},{"index":21,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":28},{"index":22,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":20},{"index":23,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":24,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":25,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":26,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":30},{"index":27,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":28},{"index":28,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":36},{"index":29,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":32},{"index":30,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":28},{"index":31,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":34},{"index":32,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":32},{"index":33,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":42},{"index":34,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":32},{"index":35,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":32},{"index":36,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":38},{"index":37,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":20},{"index":38,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":39,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":40,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":41,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":20},{"index":42,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":28},{"index":43,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":44,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":20},{"index":45,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":46,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24},{"index":47,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 9\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 8\n properties:\n gap: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 4\n y: 8\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.982072902440359,"grid_size":{"height":5,"width":6},"id":"5c59a67541d92c71","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","S","+","+","+","+","+"],["+","N","G","N","+","N","+","N","+","N","+","o-O","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","o-P","+","N","+","N","+","o-O","+","*-R","+","o-R","E"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],[".","N","+","N","+","N","+","N","+","P-P-304","+","N","+"],["+","G","+","+","+","+","+","+","+","+","+","+","+"],["+","o-O","+","P-R-864","+","N","+","o-O","+","o-O","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","o-R","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":16,"solutions":[{"index":0,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":11,"y":10},{"x":12,"y":10},{"x":12,"y":9},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":71},{"index":1,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":71},{"index":2,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":71},{"index":3,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":9},{"x":10,"y":10},{"x":11,"y":10},{"x":12,"y":10},{"x":12,"y":9},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":75},{"index":4,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":11,"y":10},{"x":12,"y":10},{"x":12,"y":9},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":67},{"index":5,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":67},{"index":6,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":67},{"index":7,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":9},{"x":10,"y":10},{"x":11,"y":10},{"x":12,"y":10},{"x":12,"y":9},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":71},{"index":8,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":11,"y":10},{"x":12,"y":10},{"x":12,"y":9},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":67},{"index":9,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":67},{"index":10,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":67},{"index":11,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":9},{"x":10,"y":10},{"x":11,"y":10},{"x":12,"y":10},{"x":12,"y":9},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":71},{"index":12,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":11,"y":10},{"x":12,"y":10},{"x":12,"y":9},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":75},{"index":13,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":75},{"index":14,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":75},{"index":15,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":9},{"x":10,"y":10},{"x":11,"y":10},{"x":12,"y":10},{"x":12,"y":9},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":79}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 5\n start:\n x: 7\n y: 0\n end:\n x: 12\n y: 3\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"red\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"purple\"\n - position:\n x: 9\n y: 7\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 11\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n"} {"difficulty_level":3,"difficulty_score":2.8725257447679597,"grid_size":{"height":2,"width":5},"id":"745deea1055373eb","polyshapes":"{}","puzzle_array":[[".","+","+","+","+","+","+","+","+","+","+"],["+","o-W","+","N","+","N","+","o-R","+","N","+"],["+","+","+","+","+","+","+","+",".","+","E"],["+","A-R","+","N","+","A-R","+","*-R","+","N","+"],["S","+","+","+","+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2}],"pathLength":21},{"index":1,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2}],"pathLength":25},{"index":2,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2}],"pathLength":25},{"index":3,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 10\n y: 2\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"440d97e917325fb0","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+"],["+","P-O-48","+","o-R","+"],["+","+","+","+","S"],["+","o-R","+","P-R-48","+"],["+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":7},{"index":1,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":15},{"index":2,"path":[{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":11},{"index":3,"path":[{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 2\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"red\"\n"} {"difficulty_level":4,"difficulty_score":3.9150749480407816,"grid_size":{"height":3,"width":6},"id":"dbd181183bb9f775","polyshapes":"{\"1136\":[[0,1,0,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","G","+"],["+","P-O-1136","+","N","+","N","+","N","+","N","+","N","E"],["S","G","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-P","+","N","+","A-P","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-P","+","N","+","N","G","B-B","+"],["+","G","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":12,"y":3},{"x":12,"y":2},{"x":12,"y":1}],"pathLength":42},{"index":1,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":12,"y":3},{"x":12,"y":2},{"x":12,"y":1}],"pathLength":38}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 0\n y: 2\n end:\n x: 12\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1136\n color: \"orange\"\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 10\n y: 5\n properties:\n gap: 1\n - position:\n x: 11\n y: 0\n properties:\n gap: 1\n - position:\n x: 11\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n"} {"difficulty_level":5,"difficulty_score":4.463473360572837,"grid_size":{"height":2,"width":6},"id":"fef8e390bd7a2a7a","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","o-R",".","P-K-816","+","N","+","P-K-816","+","N","E"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["S","D-R","+","*-R","+","N","G","o-R","+","o-R","+","o-R","+"],["+","+",".","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":3},{"x":12,"y":2},{"x":12,"y":1}],"pathLength":29},{"index":1,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 0\n y: 3\n end:\n x: 12\n y: 1\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 4\n color: \"red\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"black\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"black\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n"} {"difficulty_level":3,"difficulty_score":2.3317660609853457,"grid_size":{"height":3,"width":5},"id":"3987c3fc8d33089e","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","E"],["+","N","+","N","+","N","+","o-Y","+","N","+"],["+","+","+","+","+","+","+","+",".","+","+"],["+","N","+","o-P","+","N","+","N","+","N","+"],["+","+","+","+",".","+","+","+","+","+","."],["+","N","+","N","+","D-Y","+","N","+","N","+"],["+","+","+","+","+","S","+","+",".","+","+"]],"solution_count":46,"solutions":[{"index":0,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":38},{"index":1,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":34},{"index":2,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":42},{"index":3,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":46},{"index":4,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":30},{"index":5,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":26},{"index":6,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":38},{"index":7,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":34},{"index":8,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":42},{"index":9,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":46},{"index":10,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":30},{"index":11,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":26},{"index":12,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":38},{"index":13,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":34},{"index":14,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":42},{"index":15,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":46},{"index":16,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":30},{"index":17,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":26},{"index":18,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":44},{"index":19,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":44},{"index":20,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":36},{"index":21,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":22,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":23,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":24,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":36},{"index":25,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":26,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":27,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":28,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":29,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":30,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":31,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":44},{"index":32,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":36},{"index":33,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":34,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":35,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":36,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":37,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":38,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":39,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":44},{"index":40,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":41,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":40},{"index":42,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":32},{"index":43,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":36},{"index":44,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":36},{"index":45,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":36}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 5\n y: 6\n end:\n x: 10\n y: 0\n cells:\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 4\n color: \"yellow\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n - position:\n x: 8\n y: 6\n properties:\n dot: 1\n - position:\n x: 10\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.309382189598503,"grid_size":{"height":2,"width":2},"id":"851365be4fc5c5e","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","S"],["+","o-W","+","P-K-272","E"],["+","+","+","+","+"],["+","P-W-272","+","N","G"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1}],"pathLength":12},{"index":1,"path":[{"x":4,"y":0},{"x":4,"y":1}],"pathLength":2}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 0\n end:\n x: 4\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"black\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.7909158362119335,"grid_size":{"height":5,"width":5},"id":"e20e6b6a00158bdc","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","E","+","+"],["+","N","+","o-O","+","o-O","+","N","+","N","+"],["+","+","+","+","+",".","+","+","+","+","+"],["+","N","+","*-K","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","G","N","+","o-K","G"],["+","+","+","+","+","+","+","+","+","+","+"],["+","o-K","+","N","+","N","+","N","G","o-P","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","P-O-560","+","N","+","N","+","N","+","N","+"],["+","+","+","S","+",".","+","+","+",".","+"]],"solution_count":44,"solutions":[{"index":0,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":54},{"index":1,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":50},{"index":2,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":58},{"index":3,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":50},{"index":4,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":58},{"index":5,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":58},{"index":6,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":58},{"index":7,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":54},{"index":8,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":58},{"index":9,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":54},{"index":10,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":62},{"index":11,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":54},{"index":12,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":62},{"index":13,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":62},{"index":14,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":62},{"index":15,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":58},{"index":16,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":54},{"index":17,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":50},{"index":18,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":50},{"index":19,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":58},{"index":20,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":54},{"index":21,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":54},{"index":22,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":58},{"index":23,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":54},{"index":24,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":62},{"index":25,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":54},{"index":26,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":62},{"index":27,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":62},{"index":28,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":62},{"index":29,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":58},{"index":30,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":62},{"index":31,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":58},{"index":32,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":66},{"index":33,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":58},{"index":34,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":66},{"index":35,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":66},{"index":36,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":66},{"index":37,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":62},{"index":38,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":58},{"index":39,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":54},{"index":40,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":54},{"index":41,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":62},{"index":42,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0}],"pathLength":58},{"index":43,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":58}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 5\n start:\n x: 3\n y: 10\n end:\n x: 8\n y: 0\n cells:\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 5\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 10\n properties:\n dot: 1\n - position:\n x: 6\n y: 5\n properties:\n gap: 1\n - position:\n x: 8\n y: 7\n properties:\n gap: 1\n - position:\n x: 9\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 9\n y: 7\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 9\n y: 10\n properties:\n dot: 1\n - position:\n x: 10\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.999908651035631,"grid_size":{"height":3,"width":5},"id":"841b2d97bb365b8b","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","E","+","+","+","+","+","+","+","+","+"],["+","P-G-112","+","o-B","+","N","G","N","+","o-B","."],[".","+","+","+","+","+","+","+","+","+","+"],["+","*-R","+","N",".","N","+","o-B","+","o-K","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","o-R","+","N","+","N","+","N","G","N","+"],["+","+","+","+","+","+","S","G","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":42}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 6\n y: 6\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 7\n y: 6\n properties:\n gap: 1\n - position:\n x: 8\n y: 5\n properties:\n gap: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 10\n y: 1\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.6357116736429378,"grid_size":{"height":2,"width":4},"id":"b4d66071dc728f44","polyshapes":"{}","puzzle_array":[["+","G","+","+","+","+","+","+","+"],["+","N","+","N","G","o-O","+","D-O","S"],["E","+","+","+","+","+","+","+","+"],["+","B-O","+","N","G","A-O","+","N","+"],["+","+",".","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":20},{"index":1,"path":[{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 8\n y: 1\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"orange\"\n"} {"difficulty_level":5,"difficulty_score":4.292238591599003,"grid_size":{"height":6,"width":3},"id":"1e7c5367fa438e3b","polyshapes":"{\"12848\":[[0,1,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"306\":[[0,1,1,0],[1,1,0,0],[0,0,0,0],[0,0,0,0]],\"368\":[[0,1,1,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","S","+","+","+"],["+","N","+","N","+","N","."],["+","+","+","+","+","+","+"],["+","o-P","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","P-P-12848","+","N","+","P-W-368","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","Y-W-306","+"],["+","+","+","+","+","+","+"],["+","N","+","P-W-48","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-W-800","+","o-P","+"],["+","+","+","+","+","+","E"]],"solution_count":10,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12}],"pathLength":42},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12}],"pathLength":38},{"index":2,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12}],"pathLength":44},{"index":3,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12}],"pathLength":36},{"index":4,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12}],"pathLength":40},{"index":5,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12}],"pathLength":44},{"index":6,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12}],"pathLength":32},{"index":7,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12}],"pathLength":40},{"index":8,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12}],"pathLength":32},{"index":9,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 3\n y: 0\n end:\n x: 6\n y: 12\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 12848\n color: \"purple\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"white\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 368\n color: \"white\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"ylop\"\n polyshape: 306\n color: \"white\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 6\n y: 1\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.10061055764562232,"grid_size":{"height":3,"width":2},"id":"b8eb6f7dd1cc9b86","polyshapes":"{}","puzzle_array":[["+","G","+","+","+"],["G","N","+","N","S"],["+","+","+","+","+"],["+","N","+","N","G"],["+","+","+","G","+"],["+","N","G","N","G"],["+","+","+","+","E"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":16},{"index":1,"path":[{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":16},{"index":2,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":14},{"index":3,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":14}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 1\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 2\n y: 5\n properties:\n gap: 1\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.8725257447679597,"grid_size":{"height":5,"width":2},"id":"1796837aa68c2b76","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","E","+","+","+"],["G","N","+","B-O","+"],["+",".","+","+","+"],["+","o-O","+","o-P","+"],["+","+","+","+","+"],["+","N","+","N","+"],[".","+","+","+","+"],["+","P-R-560","+","B-R","+"],["+","+","+","+","+"],["+","N","+","N","+"],["S","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 10\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 0\n y: 6\n properties:\n dot: 1\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n"} {"difficulty_level":3,"difficulty_score":2.7979013261124335,"grid_size":{"height":4,"width":2},"id":"598f03a76e659bbd","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","A-O","+","N","+"],["+","+","+","+","+"],["+","*-O","+","N","E"],["+","+","+","G","+"],["+","P-O-560","+","*-O","G"],["+","+","+","+","+"],["+","N","+","*-O","+"],["S","+",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 0\n y: 8\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"orange\"\n - position:\n x: 2\n y: 8\n properties:\n dot: 1\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.8210114488947993,"grid_size":{"height":2,"width":5},"id":"a8ea92dd47f4186b","polyshapes":"{}","puzzle_array":[["E","+","+","+","+",".","+","+","+","+","+"],["+","N","+","N","+","o-O","+","B-B","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","A-R","+","N","+","o-B","+","N","+","N","S"],["+","+",".","+","+","+","+","+","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":26},{"index":1,"path":[{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":30},{"index":2,"path":[{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":30},{"index":3,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":32},{"index":4,"path":[{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 10\n y: 3\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n"} {"difficulty_level":4,"difficulty_score":3.8775487020026596,"grid_size":{"height":4,"width":4},"id":"a305fe218d16e612","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","E","+","+","+"],["+","N","+","*-R",".","N","+","o-R","G"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+",".","+","+","+","+","+","+"],["+","N","+","N","+","*-R","+","N","+"],["+","+","+","+","+","+","+","+","+"],["G","o-Y","+","A-Y","+","o-R","+","N","+"],["+","+","+","+","+","+","S","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":24},{"index":1,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":28},{"index":2,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 6\n y: 8\n end:\n x: 5\n y: 0\n cells:\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.2021016488951353,"grid_size":{"height":5,"width":3},"id":"d58e426a05bbebe0","polyshapes":"{}","puzzle_array":[["+","+","+","G","+","+","+"],["+","*-B","+","o-B","+","N","+"],["+","+","+","+","+","+","+"],["+","o-W","+","N","+","N","+"],["S","+","+","+","+","+","."],["+","N","+","o-O","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+",".","+","+","+"],["+","o-R","+","o-R","+","N","+"],["+","+","E","+","+","+","+"]],"solution_count":14,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":1,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":2,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":29},{"index":3,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":4,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":5,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":6,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":7,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":8,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":41},{"index":9,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":10,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":11,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":41},{"index":12,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":41},{"index":13,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":37}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 0\n y: 4\n end:\n x: 2\n y: 10\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 8\n properties:\n dot: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.233958957277531,"grid_size":{"height":3,"width":2},"id":"95baf8b98ab6874","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","o-K","+","P-W-112","+"],["+","+","+","+","+"],["+","o-K","+","*-B","+"],["+","+","+","+","+"],["+","B-B","+","o-B","+"],["E","+","+","+","S"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":17},{"index":1,"path":[{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 6\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n"} {"difficulty_level":4,"difficulty_score":3.999908651035631,"grid_size":{"height":5,"width":3},"id":"d72e6e1a7317b676","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"3872\":[[0,0,1,0],[0,1,1,0],[0,0,1,0],[0,0,1,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","G","+"],["+","N","+","N","+","*-O","+"],["+","+","+","+","+","+","+"],["+","o-O","+","N","+","P-G-112","+"],["+","+",".","+","+","+","+"],["+","N","+","N","+","o-O","+"],["+","+","+","+","+","+","+"],["+","*-G","+","N","+","N","+"],["+","+","+","+","+","+","E"],["+","P-O-3872","+","P-O-48","+","N","+"],["+","+","+","S","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8}],"pathLength":24},{"index":1,"path":[{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 3\n y: 10\n end:\n x: 6\n y: 8\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 3872\n color: \"orange\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"orange\"\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"green\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":3,"width":4},"id":"b2888d9633744522","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","o-P","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","P-Y-112","+","o-W","+","N","+","N","+"],["+","+","+","+","+","+","+","+","E"],["+","N","+","o-W","+","N","+","N","+"],["S","+","+","+","+","+",".","+","+"]],"solution_count":12,"solutions":[{"index":0,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4}],"pathLength":27},{"index":1,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4}],"pathLength":23},{"index":2,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4}],"pathLength":23},{"index":3,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4}],"pathLength":23},{"index":4,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4}],"pathLength":23},{"index":5,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4}],"pathLength":27},{"index":6,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4}],"pathLength":31},{"index":7,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4}],"pathLength":35},{"index":8,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4}],"pathLength":35},{"index":9,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4}],"pathLength":35},{"index":10,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4}],"pathLength":39},{"index":11,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 0\n y: 6\n end:\n x: 8\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 6\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.8210114488947993,"grid_size":{"height":5,"width":2},"id":"fb69acc1bff1c7b5","polyshapes":"{\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","o-Y","+"],["+","+","+","G","+"],["+","N","+","P-Y-816","+"],["+","+","+","+","."],["+","P-Y-48","+","N","+"],["+","+","+","G","+"],["+","N","G","N","E"],["+","G","+","+","+"],["+","P-O-1808","+","N","G"],["+","+","+","S","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7}],"pathLength":29},{"index":1,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7}],"pathLength":17},{"index":2,"path":[{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 3\n y: 10\n end:\n x: 4\n y: 7\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"yellow\"\n - position:\n x: 1\n y: 8\n properties:\n gap: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"orange\"\n - position:\n x: 2\n y: 7\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"yellow\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 4\n y: 9\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.2786814139142284,"grid_size":{"height":4,"width":3},"id":"1b23ec5dcd81c575","polyshapes":"{}","puzzle_array":[["S","+","+","+","+","+","+"],["+","N","+","N","+","o-Y","G"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+",".","+","+","+"],["+","N","+","N","+","N","."],["+","+","+","+","+","+","+"],["G","o-P","+","o-Y","+","N","+"],["E","+","+","+","+","+","+"]],"solution_count":38,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":33},{"index":2,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":25},{"index":3,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":4,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":5,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":33},{"index":6,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":25},{"index":7,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":33},{"index":8,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":37},{"index":9,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":10,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":25},{"index":11,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":12,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":13,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":33},{"index":14,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":15,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":25},{"index":16,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":33},{"index":17,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":18,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":21},{"index":19,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":25},{"index":20,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":25},{"index":21,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":22,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":23,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":25},{"index":24,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":33},{"index":25,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":26,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":33},{"index":27,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":28,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":37},{"index":29,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":33},{"index":30,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":21},{"index":31,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":25},{"index":32,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":25},{"index":33,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29},{"index":34,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":21},{"index":35,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":25},{"index":36,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":25},{"index":37,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 8\n cells:\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n - position:\n x: 6\n y: 5\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.392914198470513,"grid_size":{"height":5,"width":3},"id":"dedb9695c830d9a1","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","S","+","+"],["+","P-O-4368","+","N","+","A-W","+"],["+","+","+","+","+","+","+"],["+","o-W","+","N","+","P-W-4368","+"],["+","+","+","+","+","+","+"],["+","P-B-48","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","P-B-16","+"],["+","+","+","+","+","+","+"],["+","P-B-864","+","P-R-16","+","P-R-16","+"],["+","+","+","+","E","G","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":31},{"index":1,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":35},{"index":2,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":31},{"index":3,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":27},{"index":4,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":39},{"index":5,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 4\n y: 0\n end:\n x: 4\n y: 10\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"blue\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"blue\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"white\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"blue\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 5\n y: 10\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.4839323553268073,"grid_size":{"height":5,"width":3},"id":"94e6829bc5fe599b","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","N","+","P-B-272","+"],["+","+","+","+","+","+","+"],["+","B-B","+","o-P","G","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","B-W","+","N","+","A-P","+"],["+","E","+","S","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10}],"pathLength":35},{"index":1,"path":[{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10}],"pathLength":33},{"index":2,"path":[{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10}],"pathLength":35},{"index":3,"path":[{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10}],"pathLength":33}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 3\n y: 10\n end:\n x: 1\n y: 10\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"blue\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n"} {"difficulty_level":5,"difficulty_score":4.26712147939892,"grid_size":{"height":3,"width":4},"id":"7f61e30cde11dfd2","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","o-W","+","o-W","+","*-Y","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","o-Y","+","o-Y","+","A-W","+"],["+","+",".","+","+","+","+","+","+"],["S","o-W","+","N","+","o-W","+","*-Y","+"],["+","+","+","+","+","+","E","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6}],"pathLength":30},{"index":1,"path":[{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":24},{"index":2,"path":[{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 0\n y: 5\n end:\n x: 6\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n"} {"difficulty_level":2,"difficulty_score":1.7748875334504164,"grid_size":{"height":6,"width":2},"id":"ac07176ade6d4fcc","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","G","+"],["+","N","+","o-K","G"],["+","G","+","+","+"],["+","N","+","N","."],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","P-K-48","+"],["+","+","+","+","+"],["+","N","+","N","+"],["S","+","+","+","+"],["G","o-K","+","N","+"],["E","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":31},{"index":1,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":35},{"index":2,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":35},{"index":3,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 0\n y: 10\n end:\n x: 0\n y: 12\n cells:\n - position:\n x: 0\n y: 11\n properties:\n gap: 1\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"black\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.5246020785279892,"grid_size":{"height":3,"width":3},"id":"aecb916b87a88a32","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"29216\":[[0,0,0,1],[0,1,1,1],[0,0,0,1],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","S","E"],["+","P-Y-272","+","o-O","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","o-R","+","P-O-29216","+"],["+","+","+","+","+","+","+"],["+","P-B-16","+","P-O-16","+","N","."],["+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":24},{"index":1,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":24},{"index":2,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":24},{"index":3,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 5\n y: 0\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"yellow\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 29216\n color: \"orange\"\n - position:\n x: 6\n y: 5\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.585021118143553,"grid_size":{"height":5,"width":4},"id":"6a3a112c0f2e831b","polyshapes":"{\"1584\":[[0,1,0,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","o-K","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","P-P-272","+","P-Y-1584","+","N","+","N","S"],["+","+","+","+","+","+","+","+","+"],["E","N","+","*-K","G","*-Y","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","P-K-816","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-K","+","*-K","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":47},{"index":1,"path":[{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":39},{"index":2,"path":[{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":43}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 8\n y: 3\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1584\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"black\"\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 7\n y: 9\n properties:\n type: \"star\"\n color: \"black\"\n"} {"difficulty_level":5,"difficulty_score":4.507378844996003,"grid_size":{"height":3,"width":3},"id":"e836ae53a1a6b880","polyshapes":"{\"17520\":[[0,1,0,0],[0,1,0,0],[0,1,1,1],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","S"],["+","A-O","+","N","+","o-W","+"],["+","+","+","+","+","+","+"],["+","o-W","+","*-P","+","o-P","+"],["+","+","+","+","+","+","+"],["E","*-Y","+","P-Y-17520","+","o-W","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 0\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 17520\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n"} {"difficulty_level":2,"difficulty_score":1.8210114488947993,"grid_size":{"height":5,"width":2},"id":"58d9c6f1f97d78c1","polyshapes":"{}","puzzle_array":[["+","+","+","S","+"],["+","*-R","+","N","+"],["+","+","+","+","+"],["+","o-R","+","*-R","G"],["+","+","+","+","+"],["+","N","+","N","E"],["+","+","+","G","+"],["+","*-R","+","N","+"],["+","+","+","+","+"],[".","N","+","N","+"],["+","+","+","+","+"]],"solution_count":9,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":27},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":23},{"index":2,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":23},{"index":3,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":23},{"index":4,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":23},{"index":5,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":25},{"index":6,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":25},{"index":7,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":25},{"index":8,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 3\n y: 0\n end:\n x: 4\n y: 5\n cells:\n - position:\n x: 0\n y: 9\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.4683504091458353,"grid_size":{"height":6,"width":2},"id":"10bea253035c791c","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","G"],["+","+","+","+","+"],[".","N","+","P-P-560","E"],["+","+","+",".","+"],["+","N","+","N","."],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["S","o-P","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":31,"solutions":[{"index":0,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":25},{"index":1,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":25},{"index":2,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":37},{"index":3,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":29},{"index":4,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":33},{"index":5,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":25},{"index":6,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":29},{"index":7,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":41},{"index":8,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":33},{"index":9,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":37},{"index":10,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":35},{"index":11,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":31},{"index":12,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":27},{"index":13,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":31},{"index":14,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":27},{"index":15,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":27},{"index":16,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":39},{"index":17,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":35},{"index":18,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":31},{"index":19,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":39},{"index":20,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":35},{"index":21,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":35},{"index":22,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":39},{"index":23,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":35},{"index":24,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":31},{"index":25,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":39},{"index":26,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":35},{"index":27,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":31},{"index":28,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":35},{"index":29,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":31},{"index":30,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 0\n y: 9\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 0\n y: 3\n properties:\n dot: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"purple\"\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 5\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.99965996536008,"grid_size":{"height":6,"width":6},"id":"5569f16359d15a33","polyshapes":"{\"12560\":[[0,1,1,1],[0,0,0,1],[0,0,0,0],[0,0,0,0]],\"12896\":[[0,0,0,1],[0,1,1,1],[0,1,0,0],[0,0,0,0]],\"69904\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-W-12560","+","N","+","N","+","*-W","+","o-P","G"],["+","+","+","+","+","+",".","+","+",".","+","+","+"],["+","N","+","N","+","N","+","N","+","*-W","+","N","+"],["+","+","+","+","+","G","+","+","+","+","+","+","+"],["+","P-Y-816","+","N","+","N","+","N","+","N","+","A-Y","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","*-W","+","N","+","P-Y-12896","+","N","+","N","G","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","*-O","+","N","+","N","+","N","+","N","+"],[".","+","+","+","+","+","+","+","+","+","+","+","+"],["G","o-K","+","*-O","+","P-Y-69904","+","o-O","+","N","+","N","E"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":11},{"x":10,"y":12},{"x":11,"y":12},{"x":12,"y":12},{"x":12,"y":11}],"pathLength":57}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 6\n start:\n x: 1\n y: 0\n end:\n x: 12\n y: 11\n cells:\n - position:\n x: 0\n y: 10\n properties:\n dot: 1\n - position:\n x: 0\n y: 11\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"yellow\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12560\n color: \"white\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 12896\n color: \"yellow\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"poly\"\n polyshape: 69904\n color: \"yellow\"\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n - position:\n x: 7\n y: 11\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 9\n y: 2\n properties:\n dot: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 10\n y: 7\n properties:\n gap: 1\n - position:\n x: 11\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 11\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 12\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.4135306388551885,"grid_size":{"height":2,"width":4},"id":"d4af13ed1d455209","polyshapes":"{}","puzzle_array":[["+","+","+","+",".","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["E","+",".","+","+","+","+","+","+"],["+","N","+","N","+","o-B","+","N","S"],["+","+","+","+","+","+","+","+","."]],"solution_count":27,"solutions":[{"index":0,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":28},{"index":1,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":24},{"index":2,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":20},{"index":3,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":24},{"index":4,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":28},{"index":5,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":20},{"index":6,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":24},{"index":7,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":16},{"index":8,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":20},{"index":9,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":16},{"index":10,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":20},{"index":11,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":20},{"index":12,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":28},{"index":13,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":24},{"index":14,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":20},{"index":15,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":24},{"index":16,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":24},{"index":17,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":24},{"index":18,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":28},{"index":19,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":16},{"index":20,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":24},{"index":21,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":20},{"index":22,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":16},{"index":23,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":20},{"index":24,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":20},{"index":25,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":20},{"index":26,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 8\n y: 3\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 4\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 8\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.9613663370751766,"grid_size":{"height":2,"width":5},"id":"4efa50053369c63c","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","+","+","E","+","+","+"],["+","P-W-272","+","o-G","+","N","+","N","+","o-G","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-R-8992","+","P-O-16","+","o-B","+","P-G-784","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0}],"pathLength":28},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 7\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"green\"\n"} {"difficulty_level":2,"difficulty_score":1.1573275137506256,"grid_size":{"height":3,"width":3},"id":"4088920d22fbc15a","polyshapes":"{}","puzzle_array":[[".","+","+","+","+","G","+"],["+","o-P","+","o-R","+","N","+"],["+","+","+","+","+","+","+"],["S","N","+","N","+","o-K","+"],["+","G","+","+","+","+","."],["+","N","+","o-R","+","N","E"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 3\n end:\n x: 6\n y: 5\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.9189033702294975,"grid_size":{"height":3,"width":5},"id":"9ecc1e98360e6c0d","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"5904\":[[0,1,1,1],[0,0,1,0],[0,0,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-Y-48","+","N","+","N","+","P-Y-5904","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","*-Y","+","N",".","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","*-Y","+","N","+","N","+","N","+","P-Y-560","S"],["+","+","+","E","+","+",".","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":33},{"index":1,"path":[{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6}],"pathLength":37}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 10\n y: 5\n end:\n x: 3\n y: 6\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 6\n y: 3\n properties:\n dot: 1\n - position:\n x: 6\n y: 6\n properties:\n dot: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"poly\"\n polyshape: 5904\n color: \"yellow\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"yellow\"\n"} {"difficulty_level":3,"difficulty_score":2.722851210564326,"grid_size":{"height":2,"width":3},"id":"8b47902d43ed5c7","polyshapes":"{}","puzzle_array":[["+","+","+","E","+","+","+"],["+","*-B","+","*-B","+","*-B","+"],["+","+","+","+","+","+","+"],["+","*-B","+","*-B","+","A-B","+"],["+","S","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 1\n y: 4\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n"} {"difficulty_level":4,"difficulty_score":3.4254379549967533,"grid_size":{"height":6,"width":2},"id":"6911f7c1419318bb","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]],\"3632\":[[0,1,0,0],[0,1,1,0],[0,0,1,0],[0,0,1,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","P-R-1808","+","N","+"],["+","+","+","+","+"],["E","o-R","+","N","+"],["+","+","+","+","+"],["+","P-R-16","+","N","+"],["+","+","+","+","+"],["+","N","+","A-R","+"],["+","+","+","+","+"],["+","P-R-48","+","N","+"],["+","+","+","+","+"],["+","N","+","P-R-3632","+"],["+","S","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":33},{"index":1,"path":[{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 1\n y: 12\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"red\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"red\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"poly\"\n polyshape: 3632\n color: \"red\"\n"} {"difficulty_level":4,"difficulty_score":3.745605836981043,"grid_size":{"height":2,"width":6},"id":"ed62498f9a7cf7a5","polyshapes":"{\"13088\":[[0,0,1,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["S","N","+","*-G","+","N","+","N","+","P-W-784","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","*-G","+","P-K-13088","+","N","+","*-G","+","P-G-560","+","A-G","+"],["+","+","+","+","+","+","+","+","+","+","E","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 10\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 13088\n color: \"black\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"white\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"green\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n"} {"difficulty_level":3,"difficulty_score":2.5151399791239477,"grid_size":{"height":4,"width":2},"id":"4b518615758126ef","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","E"],["+","o-R","+","o-W","+"],["+","+","+","+","+"],["G","N","+","P-R-560","+"],["+","+","+","+","+"],["+","N","+","o-W","+"],["+","+","+","+","S"],["+","o-R","+","o-W","+"],["+","G","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 6\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 8\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"white\"\n"} {"difficulty_level":4,"difficulty_score":3.756154209198361,"grid_size":{"height":5,"width":3},"id":"a2a967199664a80","polyshapes":"{\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","N","+","B-Y","+"],["+","+","+","+","+","+","+"],["+","N","+","A-K","+","N","+"],["+","+","+","G","+","+","+"],["E","N","+","N","+","A-W","+"],["+","+","+","+","+","+","+"],["+","A-K","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-K-8992","+","Y-W-18","+"],["S","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":34},{"index":1,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30},{"index":2,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":34},{"index":3,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 0\n y: 10\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"white\"\n"} {"difficulty_level":4,"difficulty_score":3.9959193839161515,"grid_size":{"height":5,"width":4},"id":"93c544fa7b73dc1a","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","E","+"],["S","N","+","P-K-4368","+","N","+","o-W","+"],["+","+","+","+","+","+","+","G","+"],["+","N","G","N","+","N","+","N","."],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+",".","+","+","+","+"],["+","N","+","N","+","N","+","o-K","+"],["+","+","+","+","+","+","+","+","+"],["+","A-K","+","N","+","N","+","N","+"],["+","+","+","+","+","G","+","G","+"]],"solution_count":37,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":2,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":3,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":4,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":5,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":6,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":7,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":8,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":9,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":10,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":11,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":12,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":13,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":14,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":15,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":16,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":17,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":18,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":19,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":20,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":21,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":22,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":23,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":39},{"index":24,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":39},{"index":25,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":39},{"index":26,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":27,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":39},{"index":28,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":39},{"index":29,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":39},{"index":30,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":31,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":32,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":33,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":34,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":43},{"index":35,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47},{"index":36,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":47}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 0\n y: 1\n end:\n x: 7\n y: 0\n cells:\n - position:\n x: 1\n y: 9\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"black\"\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n - position:\n x: 5\n y: 10\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 7\n y: 2\n properties:\n gap: 1\n - position:\n x: 7\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 7\n y: 10\n properties:\n gap: 1\n - position:\n x: 8\n y: 3\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.792578973158367,"grid_size":{"height":2,"width":4},"id":"b54da7bdff2713e1","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","G","E","+","+","+","+","+","+"],["G","N","+","P-Y-4368","G","N","+","N","+"],["S","G","+","+","+","+","+","+","+"],["+","N","+","*-Y","+","N","+","o-Y","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 0\n y: 2\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":1,"difficulty_score":0.6964758473424609,"grid_size":{"height":3,"width":2},"id":"2c5ddc804e5b35ba","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["E","N",".","o-Y","+"],["+","+","+","+","+"],["+","N","+","o-Y","+"],["+","+","+","+","+"],["+","o-Y","+","N","S"],[".","+","+","+","."]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":21},{"index":1,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":23},{"index":2,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":17},{"index":3,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 5\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 0\n y: 6\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.6964758473424609,"grid_size":{"height":2,"width":3},"id":"241a28965ab741d","polyshapes":"{}","puzzle_array":[["+","+","+","G","+","+","+"],["+","N","+","o-P","+","o-P","+"],["E","+","+","+","+","+","+"],["+","o-K","+","N","+","N","+"],["S","+","+","+","+","+","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":15},{"index":1,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":19},{"index":2,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":11},{"index":3,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":15},{"index":4,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":7},{"index":5,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":5,"difficulty_score":4.966097906570171,"grid_size":{"height":6,"width":5},"id":"4a5c32111bf61aae","polyshapes":"{\"1888\":[[0,0,1,0],[0,1,1,0],[0,1,1,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-O-1888","+","N","+","o-B","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","*-B","+","*-B","+","N","G","o-B","+","*-B","+"],["+","G","+","+","+","+","+","+","+","+","+"],["+","N","+","*-O","+","N","+","N","+","P-B-48","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","o-B","."],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","G","N","+","N","+","N","S"],["+","+",".","+","+","+",".","+","+","E","+"]],"solution_count":20,"solutions":[{"index":0,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":59},{"index":1,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":2,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":59},{"index":3,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":4,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":5,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":59},{"index":6,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":7,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":59},{"index":8,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":9,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":10,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":59},{"index":11,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":12,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":59},{"index":13,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":14,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":15,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":16,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":67},{"index":17,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":63},{"index":18,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":67},{"index":19,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12}],"pathLength":67}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 6\n start:\n x: 10\n y: 11\n end:\n x: 9\n y: 12\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 2\n y: 12\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1888\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 4\n y: 11\n properties:\n gap: 1\n - position:\n x: 6\n y: 5\n properties:\n gap: 1\n - position:\n x: 6\n y: 12\n properties:\n dot: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 9\n y: 7\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"blue\"\n - position:\n x: 9\n y: 9\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 10\n y: 9\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":3,"width":2},"id":"65171c970b77339e","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","E",".","+","S"],["+","N","+","*-O","+"],["+","+","+","+","+"],["+","P-O-112","+","N","+"],["+","+","+","+","+"],[".","N","+","*-O","+"],["+","+",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 0\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"orange\"\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"orange\"\n"} {"difficulty_level":1,"difficulty_score":0.6773662170836059,"grid_size":{"height":3,"width":3},"id":"70c971586d6ab721","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","S","+"],["+","N","+","N",".","o-P","G"],["+",".","+","+","+","+","+"],["E","N","+","N","+","N","+"],["+","+","+","+",".","+","+"],["G","o-P","+","N","+","N","+"],["+","+",".","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":21},{"index":1,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":21},{"index":2,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 5\n y: 0\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.6186286874773463,"grid_size":{"height":3,"width":2},"id":"dd196820fff0f585","polyshapes":"{}","puzzle_array":[["+","+","S","+","+"],["+","B-O","G","A-O","+"],["+","+","+","+","+"],["+","o-O","+","N","E"],["+","+","+","+","+"],["+","N","+","A-O","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 2\n y: 0\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n"} {"difficulty_level":4,"difficulty_score":3.745605836981043,"grid_size":{"height":6,"width":2},"id":"683d3d2b64d8d1fb","polyshapes":"{\"1136\":[[0,1,0,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[[".","S","+","+","+"],["+","N","+","o-K","+"],["+","+","+","+","+"],["+","P-P-1136","+","N","+"],["+","+","+","+","+"],["+","o-P","+","o-K","+"],["+","G","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","P-K-816","+","N","G"],["+","+","+","+","E"],["+","o-K","+","B-K","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 1\n y: 0\n end:\n x: 4\n y: 10\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1136\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"black\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n - position:\n x: 4\n y: 9\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.284789124481342,"grid_size":{"height":2,"width":5},"id":"3ca9fa7e19e2188c","polyshapes":"{\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"562\":[[0,1,0,0],[1,1,1,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","+","G","+","+","+","+","+","E","+"],["+","N","+","N","+","N","+","o-G","+","Y-G-18","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","P-G-8992","G","Y-G-18","+","N","+","P-G-816","+","Y-G-562","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":12,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":15},{"index":1,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":15},{"index":2,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":15},{"index":3,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":19},{"index":4,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":21},{"index":5,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":25},{"index":6,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":23},{"index":7,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":27},{"index":8,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":13},{"index":9,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":13},{"index":10,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":13},{"index":11,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 1\n y: 0\n end:\n x: 9\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"green\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"green\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"green\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"green\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 562\n color: \"green\"\n"} {"difficulty_level":5,"difficulty_score":4.868542615620404,"grid_size":{"height":4,"width":4},"id":"581706995f65f93d","polyshapes":"{\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],[".","o-P","+","N","+","*-P","+","o-P","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","o-P",".","*-P","+","o-P","+"],["+","+","+","+","+",".","+","+","+"],["+","N","+","A-P","+","N","+","N","+"],["+","+","+","+","+","+","+",".","+"],["+","N","+","N","+","P-P-8992","+","Y-P-18","+"],["S","E","+","+","+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8}],"pathLength":44},{"index":1,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8}],"pathLength":44},{"index":2,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8}],"pathLength":44}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 0\n y: 8\n end:\n x: 1\n y: 8\n cells:\n - position:\n x: 0\n y: 1\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"purple\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 7\n y: 6\n properties:\n dot: 1\n - position:\n x: 7\n y: 7\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"purple\"\n"} {"difficulty_level":4,"difficulty_score":3.834464745924252,"grid_size":{"height":4,"width":4},"id":"8f5dd8ca7b23f826","polyshapes":"{}","puzzle_array":[["E","S","+","+","+","+","+","+","+"],["+","o-O","+","o-O","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","o-O","+","N","+","o-O","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","o-W","+"],["+","+","+","+","+","+","+","+","+"],["+","o-O","+","o-Y","+","N","+","*-W","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":26,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":1,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":2,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":36},{"index":3,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":4,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":5,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":6,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":36},{"index":7,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":8,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":9,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":36},{"index":10,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":11,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":12,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":13,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":14,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":36},{"index":15,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":16,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":17,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":18,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":19,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":20,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":21,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":22,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":23,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":24,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44},{"index":25,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":44}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 1\n y: 0\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"star\"\n color: \"white\"\n"} {"difficulty_level":3,"difficulty_score":2.3261094065804944,"grid_size":{"height":6,"width":2},"id":"4c6a9d610b717d17","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","G","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","o-O","+","*-O","+"],["+","+","+","+","+"],["+","P-O-304","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","S"]],"solution_count":42,"solutions":[{"index":0,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":29},{"index":1,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":33},{"index":2,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":29},{"index":3,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":29},{"index":4,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":29},{"index":5,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":29},{"index":6,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":33},{"index":7,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":29},{"index":8,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":29},{"index":9,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":29},{"index":10,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":33},{"index":11,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":25},{"index":12,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":29},{"index":13,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":25},{"index":14,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":29},{"index":15,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":25},{"index":16,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":33},{"index":17,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":37},{"index":18,"path":[{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":21},{"index":19,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":37},{"index":20,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":33},{"index":21,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":41},{"index":22,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":29},{"index":23,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":33},{"index":24,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":33},{"index":25,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":33},{"index":26,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":37},{"index":27,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":29},{"index":28,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":33},{"index":29,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":29},{"index":30,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":29},{"index":31,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":33},{"index":32,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":29},{"index":33,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":41},{"index":34,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":37},{"index":35,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":33},{"index":36,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":29},{"index":37,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":29},{"index":38,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":37},{"index":39,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":29},{"index":40,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":33},{"index":41,"path":[{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":41}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 12\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"orange\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"orange\"\n"} {"difficulty_level":2,"difficulty_score":1.8909334389381391,"grid_size":{"height":3,"width":3},"id":"f701ba6827f8ceff","polyshapes":"{}","puzzle_array":[["+",".","+","+","+","+","+"],["+","N","G","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N",".","o-P","+","*-P","+"],["+","+","+","+","+","+","+"],["S","N","+","N","+","B-K","+"],["E","+",".","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":28},{"index":1,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":28},{"index":2,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":28},{"index":3,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 5\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n"} {"difficulty_level":3,"difficulty_score":2.7979013261124335,"grid_size":{"height":4,"width":2},"id":"24dd9a735b612dc1","polyshapes":"{}","puzzle_array":[["+","+","+","E","+"],["+","o-W","+","*-W","+"],["+","+","+","+","+"],["+","N","+","B-W","+"],["+","+","+","+","+"],["+","N","+","o-W","+"],["+","+","+","+","+"],["S","A-O","+","N","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":13},{"index":1,"path":[{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 0\n y: 7\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n"} {"difficulty_level":2,"difficulty_score":1.0747338902603039,"grid_size":{"height":2,"width":4},"id":"138e21433d2e6a52","polyshapes":"{}","puzzle_array":[[".","+","+","+","+","S","+","+","+"],["+","o-K","+","o-K","+","o-K","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","o-K","+","N","+","N","+","N","E"],["+","+","+","+","+","+","+","+","+"]],"solution_count":33,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":17},{"index":1,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":2,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":19},{"index":3,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":19},{"index":4,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":5,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":6,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":19},{"index":7,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":8,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":9,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":10,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":11,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":23},{"index":12,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":19},{"index":13,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":14,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":15,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":16,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":17,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":23},{"index":18,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":21},{"index":19,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":20,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":23},{"index":21,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":23},{"index":22,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":23,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":29},{"index":24,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":23},{"index":25,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":25},{"index":26,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":29},{"index":27,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":29},{"index":28,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":29},{"index":29,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":29},{"index":30,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":25},{"index":31,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":25},{"index":32,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 5\n y: 0\n end:\n x: 8\n y: 3\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n"} {"difficulty_level":4,"difficulty_score":3.999908651035631,"grid_size":{"height":3,"width":5},"id":"72a1fec5c73b6560","polyshapes":"{}","puzzle_array":[["+","E","+","S","+","+","+","+","+","+","+"],["+","o-Y","+","*-G","+","o-G","+","N","+","N","+"],["+","G","+","+","+","+","+","+","+","+","+"],["+","o-Y","+","N","+","N","+","N","+","o-Y","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","o-R","+","A-R","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":20,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":29},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":33},{"index":2,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":33},{"index":3,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":33},{"index":4,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":33},{"index":5,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":6,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":7,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":8,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":41},{"index":9,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":10,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":33},{"index":11,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":12,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":13,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":14,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":33},{"index":15,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":16,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":17,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":18,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":19,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":33}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 3\n y: 0\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":5,"difficulty_score":4.99965996536008,"grid_size":{"height":6,"width":6},"id":"86c16115d5cda6a0","polyshapes":"{\"12848\":[[0,1,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"13888\":[[0,0,0,1],[0,0,1,1],[0,1,1,0],[0,0,0,0]],\"1584\":[[0,1,0,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"8976\":[[0,1,1,0],[0,0,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","*-G","+","P-W-12848","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","P-P-1584","+","*-B","+","N","+","P-W-13888","+","A-O","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],[".","N","+","N",".","o-B","+","N","+","o-G","+","*-R","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","o-B","+","P-K-8976","+","N","+","P-R-4368","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","o-B","+","N","E"],["+","+","S","+","+","+","+",".","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":7},{"x":12,"y":8},{"x":11,"y":8},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12},{"x":10,"y":12},{"x":11,"y":12},{"x":12,"y":12},{"x":12,"y":11}],"pathLength":80},{"index":1,"path":[{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":7},{"x":12,"y":8},{"x":11,"y":8},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":9,"y":12},{"x":10,"y":12},{"x":10,"y":11},{"x":10,"y":10},{"x":11,"y":10},{"x":12,"y":10},{"x":12,"y":11}],"pathLength":82}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 6\n start:\n x: 2\n y: 12\n end:\n x: 12\n y: 11\n cells:\n - position:\n x: 0\n y: 7\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1584\n color: \"purple\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 8976\n color: \"black\"\n - position:\n x: 4\n y: 7\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12848\n color: \"white\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"poly\"\n polyshape: 13888\n color: \"white\"\n - position:\n x: 7\n y: 9\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"red\"\n - position:\n x: 7\n y: 12\n properties:\n dot: 1\n - position:\n x: 9\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 9\n y: 7\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 9\n y: 11\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 11\n y: 7\n properties:\n type: \"star\"\n color: \"red\"\n"} {"difficulty_level":3,"difficulty_score":2.4394488044663394,"grid_size":{"height":3,"width":4},"id":"2790e863a5831db9","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","S","+"],["+","o-Y","+","N","G","N","+","o-Y","+"],["+","+","+","+","+","+","+","+","+"],["+","*-Y","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","o-Y","+","N","+","N","+","o-P","+"],["E","+","+","+","+","+","+","+","+"]],"solution_count":45,"solutions":[{"index":0,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":30},{"index":1,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":30},{"index":2,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":30},{"index":3,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":4,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":5,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":6,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":30},{"index":7,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":30},{"index":8,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":30},{"index":9,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":22},{"index":10,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":26},{"index":11,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":22},{"index":12,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":30},{"index":13,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":26},{"index":14,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":22},{"index":15,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":26},{"index":16,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":26},{"index":17,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":18,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":26},{"index":19,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":20,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":21,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":34},{"index":22,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":28},{"index":23,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":24,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":32},{"index":25,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":28},{"index":26,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":27,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":28},{"index":28,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":29,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":30,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":31,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":32},{"index":32,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":33,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":28},{"index":34,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":32},{"index":35,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":28},{"index":36,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":36},{"index":37,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":38,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":39,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":24},{"index":40,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":32},{"index":41,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":36},{"index":42,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":36},{"index":43,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":32},{"index":44,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 7\n y: 0\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":5,"difficulty_score":4.212449460710685,"grid_size":{"height":3,"width":5},"id":"ab298046d34718be","polyshapes":"{\"12560\":[[0,1,1,1],[0,0,0,1],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","E","+","+","+","+"],["+","*-O","+","P-O-272","+","N","+","P-P-8992","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-Y-12560","+","N","+","*-K","+","o-K","+"],["+","+","+","G","+","+",".","+","+","+","+"],["+","N","+","N","+","*-P","+","N","+","*-K","+"],["+","+","+","+","+","+","+","S","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":42}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 7\n y: 6\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 12560\n color: \"yellow\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n"} {"difficulty_level":1,"difficulty_score":0.8972576390935105,"grid_size":{"height":3,"width":3},"id":"ad8274727f965b1c","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+"],["G","N","+","o-Y","+","N","+"],["E","+","+","+",".","+","+"],["+","N",".","N","+","N","+"],["+","+","+","G","+","+","+"],["+","N","+","o-Y","+","o-Y","+"],["S","+","+","+","+",".","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":21},{"index":1,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":29},{"index":2,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":25},{"index":3,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":21},{"index":4,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":25},{"index":5,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 6\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":3,"width":2},"id":"a722e79130881da0","polyshapes":"{}","puzzle_array":[[".","+","+","+","S"],["+","N","+","B-W","+"],["+","+","+","+","+"],["+","*-W","+","*-W","+"],["+","+","+",".","+"],["+","N","+","N","+"],["E","+",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 0\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.10061055764562232,"grid_size":{"height":2,"width":3},"id":"9435f4bc2b1cf34d","polyshapes":"{}","puzzle_array":[["+","+","S","G",".","+","+"],["+","N","+","N","+","N","+"],["E","+","+","+","+","+","+"],["+","N","G","N","G","N","+"],[".","+","+","+","+","+","."]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 2\n y: 0\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 4\n y: 0\n properties:\n dot: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.0928129074635047,"grid_size":{"height":4,"width":4},"id":"2e4b26ec1c401cbe","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"4880\":[[0,1,1,1],[0,0,1,0],[0,0,0,0],[0,0,0,0]],\"496\":[[0,1,1,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]]}","puzzle_array":[["+","+","+","+","S","+","+","+","+"],["+","P-B-4880","+","N","+","o-P","+","N","+"],["+","+","+","+","+","+","+","+","+"],["E","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","o-P","+","P-B-496","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","P-B-16","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":30},{"index":1,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 4\n y: 0\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4880\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"blue\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"poly\"\n polyshape: 496\n color: \"blue\"\n"} {"difficulty_level":3,"difficulty_score":2.8134866817380155,"grid_size":{"height":3,"width":3},"id":"8b308dfba88e4ac","polyshapes":"{\"12896\":[[0,0,0,1],[0,1,1,1],[0,1,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","S","E"],["+","N","+","*-B","+","P-K-272","+"],["+","+","+","+","+","+","+"],["+","N","+","o-K","+","N","+"],["+","+","+","+","+","+","+"],["+","P-B-12896","+","N","+","P-B-272","+"],["+",".","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 5\n y: 0\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 12896\n color: \"blue\"\n - position:\n x: 1\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"black\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"blue\"\n"} {"difficulty_level":2,"difficulty_score":1.4683504091458353,"grid_size":{"height":6,"width":2},"id":"701d6d1daff25a25","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["E","+","+","+","+"],["+","o-B","+","P-R-48","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","S","+","+"]],"solution_count":23,"solutions":[{"index":0,"path":[{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":1,"path":[{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":33},{"index":2,"path":[{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":33},{"index":3,"path":[{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":33},{"index":4,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":21},{"index":5,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":25},{"index":6,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":33},{"index":7,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":8,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":25},{"index":9,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":10,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":25},{"index":11,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":33},{"index":12,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":13,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":14,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":15,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":25},{"index":16,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":17,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":18,"path":[{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":19,"path":[{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":25},{"index":20,"path":[{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":21,"path":[{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":22,"path":[{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 2\n y: 12\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"red\"\n"} {"difficulty_level":1,"difficulty_score":0.7841281695300297,"grid_size":{"height":5,"width":2},"id":"f42b8d86bfb89096","polyshapes":"{}","puzzle_array":[["+",".","+","+","+"],["+","N","+","N","+"],["+","+",".","+","+"],["+","B-G","+","N","+"],["+","+","+",".","+"],[".","N","+","B-G","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["S","N","+","N","+"],["+","+","E","+","."]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":34},{"index":1,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":30},{"index":2,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":30},{"index":3,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 9\n end:\n x: 2\n y: 10\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n - position:\n x: 4\n y: 10\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.05528195095328203,"grid_size":{"height":2,"width":2},"id":"c4341ab9fd5c439c","polyshapes":"{}","puzzle_array":[["+","+","+","S","+"],["+","N","G","N","G"],["+","G","+","G","+"],["+","N","+","N","E"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":13}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 3\n y: 0\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.722851210564326,"grid_size":{"height":2,"width":3},"id":"97be11048bb04a30","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","S","+"],["+","*-G","+","*-G","+","P-G-16","+"],["E","+","+","+","+","+","+"],["+","P-G-48","+","*-G","+","P-O-560","+"],["+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":20},{"index":1,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 5\n y: 0\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"green\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"orange\"\n"} {"difficulty_level":1,"difficulty_score":0.7504433904617844,"grid_size":{"height":2,"width":2},"id":"7f403db698db059f","polyshapes":"{}","puzzle_array":[["+","+","+","+","E"],["+","o-O","+","N","+"],[".","+","+","+","+"],["+","o-O","+","o-O","+"],["+","S","+","+","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":10},{"index":1,"path":[{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":10},{"index":2,"path":[{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":14},{"index":3,"path":[{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":10},{"index":4,"path":[{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":14},{"index":5,"path":[{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":18},{"index":6,"path":[{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":16},{"index":7,"path":[{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":12}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 1\n y: 4\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n"} {"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":2,"width":3},"id":"9e892fbdd6f4c4a9","polyshapes":"{\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","E",".","+","+","+","+"],["+","N","+","*-W","+","N","+"],["+","+","+","+","+","+","+"],["+","P-Y-8992","+","N","+","*-W","+"],["S",".","+","+","+",".","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"yellow\"\n - position:\n x: 1\n y: 4\n properties:\n dot: 1\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 5\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.779040191790538,"grid_size":{"height":4,"width":5},"id":"b7672ba95aff4ff6","polyshapes":"{\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","E"],["+","N","+","N","+","N","+","N","+","N","+"],["S","+","+","+","+","+","+","+","+","+","+"],["+","P-G-240",".","N","+","N","+","o-Y","+","*-Y","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","o-Y","+","o-Y","+","A-Y","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","A-Y","+","N","+","o-Y","+","N","+","N","+"],["+","+","+","+","+","+","+","G","+","+","+"]],"solution_count":10,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":45},{"index":1,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":45},{"index":2,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":41},{"index":3,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":37},{"index":4,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":41},{"index":5,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":37},{"index":6,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":41},{"index":7,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":41},{"index":8,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":41},{"index":9,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":37}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 0\n y: 2\n end:\n x: 10\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"green\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 7\n y: 8\n properties:\n gap: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n"} {"difficulty_level":2,"difficulty_score":1.0268662722080775,"grid_size":{"height":3,"width":3},"id":"e0e6857dd441101b","polyshapes":"{\"4880\":[[0,1,1,1],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","."],["S","N","G","*-K","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-K-4880","+","N","G"],["+","+","+","+","+","G","+"],["+","N","+","N","+","N","G"],["+","+",".","+","+","E","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 1\n end:\n x: 5\n y: 6\n cells:\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4880\n color: \"black\"\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 6\n y: 0\n properties:\n dot: 1\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 6\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.1568457111547232,"grid_size":{"height":5,"width":2},"id":"a12c7a055e6395a2","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","o-W","+","N","+"],["E","+","+","+","+"],["+","P-K-48","+","N","+"],["+","+","+","+","+"],["+","N","G","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":29},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":33},{"index":2,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":33},{"index":3,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":33},{"index":4,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4}],"pathLength":13}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"black\"\n - position:\n x: 2\n y: 7\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.066258866160572,"grid_size":{"height":6,"width":3},"id":"e8f814f726cb4612","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+"],["+","A-Y","G","N","+","N","+"],["+","+","+","+","+","G","+"],["+","N","+","B-B","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","o-Y","+","N","+"],["S","+","+","+","+","+","+"],["+","N","+","o-Y","+","o-B","E"],["+","+","+","+","+","+","+"],["+","o-B","+","o-Y","+","o-Y","+"],["+","+","+","+","+","+","+"]],"solution_count":32,"solutions":[{"index":0,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":1,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":2,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":3,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":44},{"index":4,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":48},{"index":5,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":48},{"index":6,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":44},{"index":7,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":48},{"index":8,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":48},{"index":9,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":10,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":36},{"index":11,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":12,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":36},{"index":13,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":48},{"index":14,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":15,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":16,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":40},{"index":17,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":44},{"index":18,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":48},{"index":19,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":20,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":21,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":22,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":34},{"index":23,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":24,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":25,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":26,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":34},{"index":27,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":46},{"index":28,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":29,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":30,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":31,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 0\n y: 8\n end:\n x: 6\n y: 9\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 9\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":4,"difficulty_score":3.4254379549967533,"grid_size":{"height":6,"width":2},"id":"fc19c4a5e89d29f4","polyshapes":"{\"368\":[[0,1,1,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+",".","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","*-B","+","N","+"],["+","+","+","+","S"],[".","N","+","*-B","+"],["+","+","+",".","+"],["+","o-B","+","N","+"],["+","+","+","+","+"],["+","N","+","o-B","G"],["+","+","+","G","+"],["+","P-B-368","+","*-B","+"],["E",".","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":33},{"index":1,"path":[{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":29},{"index":2,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":29},{"index":3,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":29},{"index":4,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 4\n end:\n x: 0\n y: 12\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"poly\"\n polyshape: 368\n color: \"blue\"\n - position:\n x: 1\n y: 12\n properties:\n dot: 1\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 10\n properties:\n gap: 1\n - position:\n x: 3\n y: 11\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 4\n y: 9\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":2,"width":3},"id":"4ec9d16a5a573d4e","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","E","+","+","+","+","+"],["+","N","G","o-O","+","N","+"],["+","+","+","+","+","+","+"],["+","o-O","+","P-O-16","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n"} {"difficulty_level":1,"difficulty_score":0.21396079080619634,"grid_size":{"height":2,"width":2},"id":"8bbb1046d8c49095","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","G","S","G","E"],["G","N","+","N","+"],["+","+","+","+","+"],["+","N","+","P-B-800","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":15}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 2\n y: 0\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"blue\"\n"} {"difficulty_level":5,"difficulty_score":4.116343267718968,"grid_size":{"height":6,"width":3},"id":"8e231f18dc7d476f","polyshapes":"{}","puzzle_array":[["+","+","+","+","S","+","+"],["+","o-W","+","N","+","*-W","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","*-W","G"],["+","+","+","+","+","+","+"],["G","A-W","+","N",".","N","+"],[".","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","o-W","+","N","+"],["+","+","+","+","+","+","+"],["E","D-W","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":12,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11}],"pathLength":34},{"index":1,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11}],"pathLength":38},{"index":2,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11}],"pathLength":42},{"index":3,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11}],"pathLength":34},{"index":4,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11}],"pathLength":38},{"index":5,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11}],"pathLength":42},{"index":6,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11}],"pathLength":34},{"index":7,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11}],"pathLength":38},{"index":8,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11}],"pathLength":42},{"index":9,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11}],"pathLength":30},{"index":10,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11}],"pathLength":34},{"index":11,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11}],"pathLength":38}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 4\n y: 0\n end:\n x: 0\n y: 11\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 0\n y: 6\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"triangle\"\n count: 4\n color: \"white\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 4\n y: 5\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.357434696960528,"grid_size":{"height":4,"width":4},"id":"50ed62dcb0f1bce3","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","S","+","+","+","+"],["+","N","+","A-P","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+",".","+","+","+"],["+","A-P","+","*-P","+","N","+","P-P-4368","+"],["+","+","+","+","+","+","E","+","+"]],"solution_count":22,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":31},{"index":1,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":35},{"index":2,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":39},{"index":3,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":35},{"index":4,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":39},{"index":5,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":35},{"index":6,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":31},{"index":7,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":35},{"index":8,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":39},{"index":9,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":35},{"index":10,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":39},{"index":11,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":35},{"index":12,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":39},{"index":13,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":35},{"index":14,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":35},{"index":15,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":31},{"index":16,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":23},{"index":17,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":27},{"index":18,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":23},{"index":19,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":23},{"index":20,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":27},{"index":21,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 4\n y: 0\n end:\n x: 6\n y: 8\n cells:\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 6\n properties:\n dot: 1\n - position:\n x: 7\n y: 7\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"purple\"\n"} {"difficulty_level":2,"difficulty_score":1.006745425104734,"grid_size":{"height":3,"width":2},"id":"154515f7b4e4fe2b","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","o-Y","+","N","+"],["+","+","+","+","+"],["G","N","+","o-Y","+"],["+","G","+","+","S"],["+","o-Y","+","o-Y","+"],["+","+","+","+","E"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":7},{"index":1,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":11},{"index":2,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":19},{"index":3,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":15},{"index":4,"path":[{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6}],"pathLength":3}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 4\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":2,"difficulty_score":1.801447631531656,"grid_size":{"height":5,"width":3},"id":"1a43bd0f8e35bd1d","polyshapes":"{\"1856\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["S","+","+","+","+","+","E"],["+","P-Y-240","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+",".","G","+","+","+"],[".","P-Y-48","+","P-Y-1856","+","N","+"],["+","+","+","+","+","G","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 0\n y: 2\n end:\n x: 6\n y: 2\n cells:\n - position:\n x: 0\n y: 9\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"yellow\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"yellow\"\n - position:\n x: 2\n y: 8\n properties:\n dot: 1\n - position:\n x: 3\n y: 8\n properties:\n gap: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 1856\n color: \"yellow\"\n - position:\n x: 5\n y: 10\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.0472240452167707,"grid_size":{"height":3,"width":4},"id":"281ee792644831c5","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"78096\":[[0,1,1,1],[0,0,0,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[[".","+","+","+","+","+","+","+","+"],["+","P-R-78096","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N",".","N","+"],["E","+","+","+",".","+","+","+","+"],["+","N","+","N","+","P-R-272","+","N","+"],["+","+","+","G","S","+",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 4\n y: 6\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 78096\n color: \"red\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"red\"\n - position:\n x: 6\n y: 3\n properties:\n dot: 1\n - position:\n x: 6\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.9189033702294975,"grid_size":{"height":5,"width":3},"id":"c881c033239a38de","polyshapes":"{\"12832\":[[0,0,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","E","+","+","+","+","+"],["+","o-W","+","N","+","N","+"],["+","+","+","+",".","+","+"],["+","N","+","o-W","+","P-W-12832","+"],["+","+","+","+","+","+","S"],["+","P-W-48","+","N","G","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","P-W-816","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":9,"solutions":[{"index":0,"path":[{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":38},{"index":1,"path":[{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":18},{"index":2,"path":[{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":16},{"index":3,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":34},{"index":4,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":40},{"index":5,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":26},{"index":6,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":42},{"index":7,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":34},{"index":8,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":40}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 6\n y: 4\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 12832\n color: \"white\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"white\"\n"} {"difficulty_level":5,"difficulty_score":4.80113255702498,"grid_size":{"height":4,"width":4},"id":"a92cdc81d7a94775","polyshapes":"{\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"1856\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]],\"3904\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,1,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-O-1856","+","Y-B-18","+"],["+","+","+","+","+","+","+","+","E"],["+","B-K","+","N","+","o-P","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","*-K","+","P-P-240","+","*-K","+","P-K-3904","+"],["S","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":33}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 0\n y: 6\n end:\n x: 8\n y: 2\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"purple\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1856\n color: \"orange\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"blue\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"poly\"\n polyshape: 3904\n color: \"black\"\n"} {"difficulty_level":2,"difficulty_score":1.6357116736429378,"grid_size":{"height":2,"width":4},"id":"9283bfdf68bc92a8","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"4880\":[[0,1,1,1],[0,0,1,0],[0,0,0,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","P-Y-560","+","N","+","N","+","N","+"],["S","+","+","+","+","+","+","G","+"],["+","N","+","*-Y","+","P-Y-4880","+","P-Y-16","+"],["+","+","+","+","+","+","+","E","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4}],"pathLength":14},{"index":1,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 0\n y: 2\n end:\n x: 7\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4880\n color: \"yellow\"\n - position:\n x: 7\n y: 2\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"yellow\"\n"} {"difficulty_level":2,"difficulty_score":1.0268662722080775,"grid_size":{"height":3,"width":3},"id":"b7cbcba402c57078","polyshapes":"{\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N",".","P-B-1808","+","N","+"],[".","+","+","+","+","+","S"],["+","N","+","N",".","o-B","+"],["+","+","+","+","+","+","."],["+","N","+","N","+","N","+"],["+","+","E","+","+","+","."]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6}],"pathLength":25},{"index":1,"path":[{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 2\n end:\n x: 2\n y: 6\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"blue\"\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n - position:\n x: 6\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.187890113166176,"grid_size":{"height":5,"width":3},"id":"11846421c28ce2aa","polyshapes":"{\"4400\":[[0,1,1,1],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","E"],[".","*-O","+","N","+","N","+"],["+","+","+","+","+",".","+"],["+","P-O-4400","+","N","+","N","+"],[".","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","P-O-48","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","o-O","+"],["+","+","+","S","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":34},{"index":1,"path":[{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 3\n y: 10\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 0\n y: 1\n properties:\n dot: 1\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4400\n color: \"orange\"\n - position:\n x: 5\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"orange\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"square\"\n color: \"orange\"\n"} {"difficulty_level":4,"difficulty_score":3.671498979244899,"grid_size":{"height":3,"width":3},"id":"2a0e2b1240764998","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+"],["+","o-P","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","o-P","+","o-G","+","o-P","+"],["E","+","+","+","+","+","+"],["+","o-P","+","B-Y","+","*-G","+"],["+","+","+","+","S","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 4\n y: 6\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"green\"\n"} {"difficulty_level":3,"difficulty_score":2.4394488044663394,"grid_size":{"height":4,"width":3},"id":"577d6771b88eca36","polyshapes":"{}","puzzle_array":[[".","+","+",".","+","+","E"],["+","N","+","*-G","+","o-R","+"],["+","+",".","+",".","+","."],["+","N","+","o-G","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+",".","+","+","+","+","+"],["+","o-G",".","N","+","o-R","+"],["S","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":39},{"index":1,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":35},{"index":2,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":35},{"index":3,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 0\n y: 8\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 6\n properties:\n dot: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 2\n y: 7\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.80113255702498,"grid_size":{"height":6,"width":4},"id":"9c31840855436adc","polyshapes":"{}","puzzle_array":[["+","G","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","o-K","+"],["+","+","+","+","+","G","+","+","+"],["+","*-R","+","N","+","*-R","+","A-Y","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","o-R","+","N","+"],["+","+","+","G","+","+","+","+","+"],["S","N","+","N","+","N","+","A-K","+"],["+","+","+","+","+","G","+",".","+"],["+","o-R","+","*-R","+","N","+","N","+"],["+","+","+","+","+","+","+","+","E"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12}],"pathLength":56},{"index":1,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12}],"pathLength":60},{"index":2,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12}],"pathLength":56},{"index":3,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12}],"pathLength":56},{"index":4,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12}],"pathLength":56}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 6\n start:\n x: 0\n y: 9\n end:\n x: 8\n y: 12\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 8\n properties:\n gap: 1\n - position:\n x: 3\n y: 11\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 10\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 7\n y: 9\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 7\n y: 10\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.212449460710685,"grid_size":{"height":5,"width":3},"id":"495da6f2a1c1f750","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"29760\":[[0,0,0,1],[0,0,0,1],[0,1,1,1],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+",".","+","+"],["+","N","+","B-R","+","o-R","+"],["E","+","+","+","+","G","+"],["+","N","+","P-G-29760","+","P-O-800","+"],["+",".","+","+","+","+","+"],["S","o-R","G","N","+","N","."],["+","+","+","+",".","+","+"],["+","N","+","N","+","o-R","+"],["+","+","+","+","+","+","+"],["+","o-R","+","P-G-272","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":42}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 0\n y: 5\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 2\n y: 5\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 29760\n color: \"green\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"green\"\n - position:\n x: 4\n y: 0\n properties:\n dot: 1\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"orange\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 6\n y: 5\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.21587183046997,"grid_size":{"height":2,"width":5},"id":"544628c3b3077982","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","G","+","+","+","+","+","+","+"],["S","N","+","A-O","+","N","+","N","+","P-W-48","."],["+","+","+","+","+","+","+","+","+","+","E"],["+","*-O","+","o-K","+","o-K","+","*-K","+","o-W","G"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2}],"pathLength":30},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 10\n y: 2\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 10\n y: 1\n properties:\n dot: 1\n - position:\n x: 10\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.0268662722080775,"grid_size":{"height":3,"width":3},"id":"95bd7bebb5849554","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","E","S",".","+",".","+"],["+","N","+","N","+","N","+"],["+","+",".","+","+","+","+"],["G","A-O","+","P-B-816","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 2\n y: 0\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"blue\"\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.443232198252384,"grid_size":{"height":5,"width":2},"id":"5daa7098e5e15b8a","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","*-K","G","A-K","S"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","o-K","+","o-K","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","E"]],"solution_count":40,"solutions":[{"index":0,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":26},{"index":1,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":22},{"index":2,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":18},{"index":3,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":22},{"index":4,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":18},{"index":5,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":18},{"index":6,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":18},{"index":7,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":22},{"index":8,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":18},{"index":9,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":18},{"index":10,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":22},{"index":11,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":26},{"index":12,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":30},{"index":13,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":26},{"index":14,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":22},{"index":15,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":26},{"index":16,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":22},{"index":17,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":22},{"index":18,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":22},{"index":19,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":26},{"index":20,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":22},{"index":21,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":22},{"index":22,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":26},{"index":23,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":30},{"index":24,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":18},{"index":25,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":18},{"index":26,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":18},{"index":27,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":22},{"index":28,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":18},{"index":29,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":18},{"index":30,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":18},{"index":31,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":22},{"index":32,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":22},{"index":33,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":22},{"index":34,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":22},{"index":35,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":26},{"index":36,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":26},{"index":37,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":26},{"index":38,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":26},{"index":39,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 4\n y: 1\n end:\n x: 4\n y: 10\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n"} {"difficulty_level":2,"difficulty_score":1.0472240452167707,"grid_size":{"height":6,"width":2},"id":"2d360e53c1cbf48e","polyshapes":"{}","puzzle_array":[["+","+","+","E","."],["+","N","+","D-W","+"],["+","+","+",".","+"],["+","N","+","N","+"],["+","+","+","+","+"],[".","N","+","N","+"],["+","+","+","+","+"],["+","B-K","+","N","S"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],[".","N","+","N","+"],["+","+","+","+","+"]],"solution_count":10,"solutions":[{"index":0,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":37},{"index":1,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":37},{"index":2,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":37},{"index":3,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":33},{"index":4,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":41},{"index":5,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":41},{"index":6,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":41},{"index":7,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":37},{"index":8,"path":[{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":35},{"index":9,"path":[{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 7\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 0\n y: 11\n properties:\n dot: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"white\"\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n - position:\n x: 4\n y: 0\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"ad210a7535f9228a","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","E","+","+","+"],["+","P-G-272","+","o-G","+"],["+","+","+","+","+"],["+","o-G","+","P-G-272","+"],["+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0}],"pathLength":2},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":12},{"index":2,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"green\"\n"} {"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":3,"width":2},"id":"4d1f8e4f341d8ba","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+"],["+","o-G","+","P-R-784","."],["+","+","+","+","+"],["+","N","+","N","+"],["+","+",".","+","+"],[".","P-R-560","+","N","+"],["+","+","S","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 2\n y: 6\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"red\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"red\"\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.006745425104734,"grid_size":{"height":3,"width":2},"id":"c0bf87685a69078a","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","N","+","o-O","S"],["+","+","+","+","+"],["+","o-W","+","N","+"],["+","+","+",".","E"],["+","o-O","+","o-O","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":12},{"index":1,"path":[{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 1\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n"} {"difficulty_level":5,"difficulty_score":4.679865550683381,"grid_size":{"height":5,"width":4},"id":"e155b38ad467ae03","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","*-O","+","*-O","+","N","+","o-O","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","*-Y","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","*-O","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","*-O","+","N","+","P-G-16","+","N","+"],["+","+","+","+","+","+","+","+","S"],["+","P-Y-800","+","N","+","*-Y","+","N","+"],["E","+","+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":43},{"index":1,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":43},{"index":2,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":43},{"index":3,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":43}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 8\n y: 8\n end:\n x: 0\n y: 10\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"green\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n"} {"difficulty_level":1,"difficulty_score":0.287075054550843,"grid_size":{"height":2,"width":3},"id":"525f7011d139f68e","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","N","G","N","."],["+","+","+","+",".","+","+"],["S","N","+","N","G","A-K","G"],["+","+","+","E","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 3\n end:\n x: 3\n y: 4\n cells:\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 6\n y: 1\n properties:\n dot: 1\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.8134866817380155,"grid_size":{"height":3,"width":3},"id":"85ace8079f2972ab","polyshapes":"{\"12848\":[[0,1,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["E","N","+","N","+","P-Y-272","+"],["+","+","+","+","+","+","+"],["+","N","+","A-K","+","o-R","+"],["+","+","+","G","+","+","+"],["+","N","+","P-K-12848","+","D-R","S"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 5\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 12848\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 4\n color: \"red\"\n"} {"difficulty_level":2,"difficulty_score":1.2483607303046271,"grid_size":{"height":2,"width":4},"id":"d79be6059dc29292","polyshapes":"{\"12592\":[[0,1,1,1],[0,1,0,1],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+",".","+","+","G","+","G","+"],["S","N","+","N","+","P-G-12592","+","N","+"],["+","+","+","+","+","+","+","+","E"],["+","P-G-48",".","N","+","N","+","o-G","+"],["+","+","+","+","+","+","+",".","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 8\n y: 2\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"green\"\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12592\n color: \"green\"\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 7\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.0165634985587255,"grid_size":{"height":5,"width":2},"id":"bc2d315cd19b8b76","polyshapes":"{}","puzzle_array":[["+","+","+","G","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","*-O","+"],["+","+","+","+","+"],["+","N","+","N","+"],["S","+","+","+","+"],["+","A-K","+","N","+"],["+","+","+","+","+"],["E","o-O","+","N","+"],["+","+","+","+","+"]],"solution_count":17,"solutions":[{"index":0,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":26},{"index":1,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":26},{"index":2,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":30},{"index":3,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":30},{"index":4,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":22},{"index":5,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":22},{"index":6,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":26},{"index":7,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":22},{"index":8,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":26},{"index":9,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":22},{"index":10,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":26},{"index":11,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":22},{"index":12,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":30},{"index":13,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":26},{"index":14,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":30},{"index":15,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":26},{"index":16,"path":[{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":4}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 6\n end:\n x: 0\n y: 9\n cells:\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n"} {"difficulty_level":2,"difficulty_score":1.1568457111547232,"grid_size":{"height":5,"width":2},"id":"336018fab47f526a","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","S","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","*-G","+","N","+"],["+","+","+","+","+"],["E","P-G-560","+","N","+"],["+","+","+","+","+"]],"solution_count":23,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":31},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":25},{"index":2,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":27},{"index":3,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":25},{"index":4,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":25},{"index":5,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":29},{"index":6,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":23},{"index":7,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":25},{"index":8,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":23},{"index":9,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":27},{"index":10,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":21},{"index":11,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":23},{"index":12,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":21},{"index":13,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":27},{"index":14,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":25},{"index":15,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":31},{"index":16,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":29},{"index":17,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":25},{"index":18,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":23},{"index":19,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":25},{"index":20,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":29},{"index":21,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":33},{"index":22,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 3\n y: 0\n end:\n x: 0\n y: 9\n cells:\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"green\"\n"} {"difficulty_level":1,"difficulty_score":0.7615628070977487,"grid_size":{"height":2,"width":3},"id":"9a0559017cacdd9c","polyshapes":"{\"8976\":[[0,1,1,0],[0,0,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[[".","+","+","+","+","+","E"],["+","N","+","N","+","o-G","+"],["+","+","+","G",".","+","+"],["+","N","+","N","+","P-G-8976","+"],["+","+","+","S","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 3\n y: 4\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8976\n color: \"green\"\n"} {"difficulty_level":1,"difficulty_score":0.42081001825693576,"grid_size":{"height":2,"width":2},"id":"5d4260bea3b7d613","polyshapes":"{}","puzzle_array":[["+","S","+","G","+"],["+","N","+","N","+"],["+","+","+","+","."],["+","o-R","+","o-R","+"],["+","+","+","+","E"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":10},{"index":1,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":14},{"index":2,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":8}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 1\n y: 0\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.1568457111547232,"grid_size":{"height":2,"width":5},"id":"14738c1f0e0cf17e","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+"],["S","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-G-4368","+","*-G","G","N","+","N","+"],["+","G","+","+","E","+","+","G","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 0\n y: 2\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"green\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 7\n y: 4\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.0472240452167707,"grid_size":{"height":3,"width":4},"id":"23f41583d9fe02ee","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"69904\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+",".","+","+","+","+","+","+"],["+","N","+","N","+","P-R-69904","+","N","+"],["+","+","+","+","+","G","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["G","N","+","N","+","P-W-304","+","N","E"],["+","G","+","+","+","S","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5}],"pathLength":31},{"index":1,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 5\n y: 6\n end:\n x: 8\n y: 5\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 69904\n color: \"red\"\n - position:\n x: 5\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"white\"\n"} {"difficulty_level":5,"difficulty_score":4.695796514121531,"grid_size":{"height":6,"width":3},"id":"58acf96418610e19","polyshapes":"{\"4464\":[[0,1,1,1],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","B-K","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","P-K-4464","+","*-K","+","N","+"],["+","+","+","+","+","+","+"],["E","N","+","N","+","D-P","S"],["+","+","+","+","+","+","+"],["+","*-K","+","N","+","o-P","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","P-K-48","+"],["+","+","+","+","+","+","+"],["+","N",".","N","+","*-K","+"],["+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":49},{"index":1,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":49}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 6\n y: 5\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4464\n color: \"black\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 2\n y: 11\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 4\n color: \"purple\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"black\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"star\"\n color: \"black\"\n"} {"difficulty_level":2,"difficulty_score":1.0472240452167707,"grid_size":{"height":2,"width":6},"id":"624d40ea5ad58707","polyshapes":"{}","puzzle_array":[["+","+","+","G","+","+","+","+",".","+","+","+","E"],["+","N","+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+",".","+","+","+","+","+","+","+"],["+","N",".","o-O","+","N","+","o-O","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","S"]],"solution_count":10,"solutions":[{"index":0,"path":[{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":25},{"index":1,"path":[{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0}],"pathLength":29},{"index":2,"path":[{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":25},{"index":3,"path":[{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0}],"pathLength":29},{"index":4,"path":[{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0}],"pathLength":29},{"index":5,"path":[{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":29},{"index":6,"path":[{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":29},{"index":7,"path":[{"x":12,"y":4},{"x":12,"y":3},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":29},{"index":8,"path":[{"x":12,"y":4},{"x":12,"y":3},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":29},{"index":9,"path":[{"x":12,"y":4},{"x":12,"y":3},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 12\n y: 4\n end:\n x: 12\n y: 0\n cells:\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 5\n y: 2\n properties:\n dot: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 8\n y: 0\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.1946153378964044,"grid_size":{"height":2,"width":5},"id":"9ec88d42d75e54fd","polyshapes":"{}","puzzle_array":[["E","+","+","G","+","+","+","+","+","G","+"],["+","N","+","N","+","o-R","+","N","+","A-R","G"],["+","+","+","+","+","+","+","+","+","G","+"],["+","A-P","+","N","+","N","+","o-R","+","A-R","G"],["S","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":25},{"index":1,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 9\n y: 0\n properties:\n gap: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 9\n y: 2\n properties:\n gap: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 10\n y: 1\n properties:\n gap: 1\n - position:\n x: 10\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"476e3c927a845ee2","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+"],["+","N","+","P-K-800","+"],["+",".","+","+","+"],["+","A-K","+","o-K","S"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":12}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 3\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n"} {"difficulty_level":2,"difficulty_score":1.4683504091458353,"grid_size":{"height":2,"width":6},"id":"664bfd4472be694f","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","G","E"],["+","N","+","N","+","N","+","P-W-272","+","N","+","N","+"],["+","+","+","+","+","+",".","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","o-P","+","N","S"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0}],"pathLength":38},{"index":1,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0}],"pathLength":38},{"index":2,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0}],"pathLength":38},{"index":3,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 12\n y: 3\n end:\n x: 12\n y: 0\n cells:\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"white\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 11\n y: 0\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.6357116736429378,"grid_size":{"height":2,"width":4},"id":"caa32446dc7ead46","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"69936\":[[0,1,1,1],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","E","+","G","+","G","+"],["+","N","+","N","+","N","+","o-G","+"],["+","+","+","+","+","G","+","+","+"],["+","P-G-272","+","N","+","P-K-69936","+","P-Y-48","G"],["+","+","+","+","+","S","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":13}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 5\n y: 4\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"green\"\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 69936\n color: \"black\"\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"yellow\"\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.8210114488947993,"grid_size":{"height":2,"width":5},"id":"4fda11641a1a910d","polyshapes":"{}","puzzle_array":[["+","+","+","+",".","+","+","S","+","+","+"],["+","N","+","o-O","+","N","+","N","+","o-R","G"],["+","+","+",".","+","+","+","+",".","+","+"],["G","o-O",".","N","+","B-O",".","N","+","N","G"],["+","+","+","+","+","+","+","+","+","+","E"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 7\n y: 0\n end:\n x: 10\n y: 4\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n - position:\n x: 4\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 6\n y: 3\n properties:\n dot: 1\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 10\n y: 1\n properties:\n gap: 1\n - position:\n x: 10\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.94949577131723,"grid_size":{"height":4,"width":6},"id":"3e3df50762cc36ec","polyshapes":"{\"1584\":[[0,1,0,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"17520\":[[0,1,0,0],[0,1,0,0],[0,1,1,1],[0,0,0,0]],\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","E"],["+","P-P-1584","+","N","+","P-Y-17520","+","N","+","o-W","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","o-W","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+",".","+","+"],["S","D-K","+","N","+","N","+","P-W-1808","+","N","+","N","+"],["+","+","+","G","+","+","+","+","+","+","+","+","+"],["+","P-O-4368","+","*-Y","+","*-Y","+","N","+","N","+","A-P","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0}],"pathLength":54},{"index":1,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":54}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 4\n start:\n x: 0\n y: 5\n end:\n x: 12\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1584\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"triangle\"\n count: 4\n color: \"black\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"orange\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 17520\n color: \"yellow\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"white\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 10\n y: 4\n properties:\n dot: 1\n - position:\n x: 11\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n"} {"difficulty_level":1,"difficulty_score":0.49758051559726735,"grid_size":{"height":3,"width":3},"id":"25d54c7266e20657","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N",".","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","A-K","+"],["+","+",".","+","+","+","."],["G","N","+","N","+","N","S"],["E","+","+","+","+","+","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":26},{"index":1,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":22},{"index":2,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":22},{"index":3,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":18},{"index":4,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":30},{"index":5,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 5\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":3,"width":4},"id":"6989cd6ab3949a4f","polyshapes":"{\"12592\":[[0,1,1,1],[0,1,0,1],[0,0,0,0],[0,0,0,0]],\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]]}","puzzle_array":[["+","E","+","+","+","G","+","+","+"],["+","o-P","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","P-P-12592","+","N","+","N","+","P-P-1808","G"],[".","+","+","+","+","+","+","+","S"],["+","N","+","N","+","o-P","+","N","+"],["+","+",".","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 8\n y: 4\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 12592\n color: \"purple\"\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"purple\"\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.21396079080619634,"grid_size":{"height":2,"width":2},"id":"590618124bd8505f","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","G","+"],["+","N","+","P-B-800","G"],["+","+","+","+","+"],["+","N","+","N","G"],["+","+","+","S","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":12}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 3\n y: 4\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"blue\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.8210114488947993,"grid_size":{"height":5,"width":2},"id":"a467089dbb60a183","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","A-W","+","N","+"],["+",".","+","+","+"],["+","o-W","+","N","+"],["+","+","+","+","+"],["E","o-W","+","N","+"],["+","+","+","+","+"],["+","N","G","N","+"],["+","+","+","+","+"],["+","N","+","o-W","G"],["+","+","S","+","+"]],"solution_count":18,"solutions":[{"index":0,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":26},{"index":1,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":22},{"index":2,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":22},{"index":3,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":28},{"index":4,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":22},{"index":5,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":22},{"index":6,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":22},{"index":7,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":22},{"index":8,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":18},{"index":9,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":22},{"index":10,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":22},{"index":11,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":22},{"index":12,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":18},{"index":13,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":22},{"index":14,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":18},{"index":15,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":18},{"index":16,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":24},{"index":17,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 2\n y: 10\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 2\n y: 7\n properties:\n gap: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 4\n y: 9\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.9189033702294975,"grid_size":{"height":3,"width":5},"id":"d7085f61b66ce173","polyshapes":"{\"12896\":[[0,0,0,1],[0,1,1,1],[0,1,0,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","S","+","+","+","+"],["+","*-K","+","*-K","+","P-K-12896","+","N","+","P-P-16","+"],["+","+","+","+","+","+",".","+","+","+","E"],["+","N","+","N","+","N","+","N",".","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","P-K-1808","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":35},{"index":1,"path":[{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":39}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 6\n y: 0\n end:\n x: 10\n y: 2\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12896\n color: \"black\"\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n - position:\n x: 8\n y: 3\n properties:\n dot: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"purple\"\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":3,"width":4},"id":"f435579761647ddf","polyshapes":"{\"1856\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["S","+","+","+","+","+","+","+","+"],["+","N","+","P-P-272","+","P-P-816","+","N","+"],["+","+","+","+","+","+",".","+","+"],["+","P-P-1856","+","N","+","N","G","o-P","E"],["+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 0\n y: 2\n end:\n x: 8\n y: 5\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1856\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"purple\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n - position:\n x: 6\n y: 5\n properties:\n gap: 1\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":3,"difficulty_score":2.3317660609853457,"grid_size":{"height":5,"width":3},"id":"feae5b1edd06f1d8","polyshapes":"{\"1584\":[[0,1,0,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-B-1584","+","N","+"],["S","+","+","+","+","+","+"],["+","*-B","+","N","+","N","E"],["+","+","+","+","+","+","+"],["+","N","+","N","+","*-B","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":15,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":24},{"index":1,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":40},{"index":2,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":40},{"index":3,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":32},{"index":4,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":36},{"index":5,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":36},{"index":6,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":36},{"index":7,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":32},{"index":8,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":36},{"index":9,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":36},{"index":10,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":36},{"index":11,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":36},{"index":12,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":36},{"index":13,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":36},{"index":14,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":40}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 0\n y: 4\n end:\n x: 6\n y: 5\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1584\n color: \"blue\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"star\"\n color: \"blue\"\n"} {"difficulty_level":4,"difficulty_score":3.0747041653866587,"grid_size":{"height":6,"width":2},"id":"d68b4a78a6f0565e","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","E"],["+","+","+","+","+"],["+","A-R","+","o-Y","+"],["+","+","+","+","+"],["+","N","+","P-O-816","+"],["+","+","+","+","+"],["+","A-R","+","N","S"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","P-K-560","+","N","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1}],"pathLength":35},{"index":1,"path":[{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 7\n end:\n x: 4\n y: 1\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"orange\"\n"} {"difficulty_level":3,"difficulty_score":2.4394488044663394,"grid_size":{"height":3,"width":4},"id":"4aef1ec8290c118","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","G","+","+","+"],["+","N","+","N","+","*-K","+","P-K-112","+"],["S","+","+","+","+","+","+","+","+"],["+","*-K","+","N","+","*-K","+","N","+"],["+","G","+","G","+","+","+","+","+"],["+","*-K","+","N","+","N","+","N","E"],["+","+","+","+","+","+","+","+","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5}],"pathLength":24},{"index":1,"path":[{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5}],"pathLength":28},{"index":2,"path":[{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5}],"pathLength":24},{"index":3,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5}],"pathLength":32},{"index":4,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5}],"pathLength":28},{"index":5,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5}],"pathLength":28},{"index":6,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5}],"pathLength":28},{"index":7,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5}],"pathLength":36}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 0\n y: 2\n end:\n x: 8\n y: 5\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"black\"\n"} {"difficulty_level":3,"difficulty_score":2.6267131995730515,"grid_size":{"height":3,"width":5},"id":"274e23e5326cd99e","polyshapes":"{}","puzzle_array":[["+","+","+","S","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","o-W","+"],[".","G","+","+",".","+","+","+","+","+","+"],["+","*-R","+","N","+","*-R","+","o-R","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["E","N","G","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","."]],"solution_count":21,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":43},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":43},{"index":2,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":39},{"index":3,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":39},{"index":4,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":43},{"index":5,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":43},{"index":6,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":39},{"index":7,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":45},{"index":8,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":35},{"index":9,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":39},{"index":10,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":45},{"index":11,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":35},{"index":12,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":39},{"index":13,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":39},{"index":14,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":45},{"index":15,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":35},{"index":16,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":39},{"index":17,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":41},{"index":18,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":41},{"index":19,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":45},{"index":20,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":45}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 3\n y: 0\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 2\n y: 5\n properties:\n gap: 1\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 10\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.588394430875379,"grid_size":{"height":6,"width":3},"id":"cea6e767c4288aaa","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-K-800","+","N","+"],["+","+","+","+","+","+","+"],["+","*-G","+","o-G","+","N","+"],["+","+","+","+","+","+","E"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["S","o-B","+","N","+","A-B","+"],["+","+","+","+","+","+","+"],["+","o-G","+","N","+","*-B","+"],["+","+","+","+","+","+","+"]],"solution_count":7,"solutions":[{"index":0,"path":[{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":46},{"index":1,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":44},{"index":2,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":48},{"index":3,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":40},{"index":4,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":40},{"index":5,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":40},{"index":6,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":44}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 0\n y: 9\n end:\n x: 6\n y: 6\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"black\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"star\"\n color: \"blue\"\n"} {"difficulty_level":5,"difficulty_score":4.133463918742374,"grid_size":{"height":5,"width":4},"id":"a4c2176205e2a4a2","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","E","+","+","+"],["S","N","+","o-Y","+","N","+","o-R","G"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","o-Y","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","A-G","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+",".","+","+","+","+","+","+"],["G","o-Y","G","o-Y","+","N","G","o-G","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":51}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 0\n y: 1\n end:\n x: 5\n y: 0\n cells:\n - position:\n x: 0\n y: 9\n properties:\n gap: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 2\n y: 8\n properties:\n dot: 1\n - position:\n x: 2\n y: 9\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 6\n y: 9\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 7\n y: 9\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.42081001825693576,"grid_size":{"height":2,"width":2},"id":"a3e158fe8036aa90","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","S"],["+","N","+","P-B-48","+"],["+","+","+","+","+"],["E","P-B-48","+","N","+"],["+","G","+","+","."]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 0\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"blue\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"blue\"\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.7748875334504164,"grid_size":{"height":2,"width":6},"id":"98325269e7bc1977","polyshapes":"{\"4880\":[[0,1,1,1],[0,0,1,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","S","+","+","+","+","+","+","+"],["+","N","+","N","+","*-W","+","P-W-4880","+","N",".","N","+"],["+","+","+","+","+","+","+","G",".","+","+","+","+"],["+","P-W-8992","+","N","+","N",".","N","+","N","+","N","+"],["+","+","+","+","E","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 5\n y: 0\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"white\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 6\n y: 3\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4880\n color: \"white\"\n - position:\n x: 7\n y: 2\n properties:\n gap: 1\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n - position:\n x: 10\n y: 1\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.7979013261124335,"grid_size":{"height":2,"width":4},"id":"8dc55e8d130ea293","polyshapes":"{}","puzzle_array":[["+","E","+","+","+","+","S","+","+"],["+","*-R","+","o-R","+","N","+","*-R","."],["+","+",".","+","+","+","+","+","+"],["+","A-P","+","N","+","N","+","*-R","+"],["+","+","+","+","+","+","+",".","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 6\n y: 0\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 7\n y: 4\n properties:\n dot: 1\n - position:\n x: 8\n y: 1\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.0644562175665646,"grid_size":{"height":4,"width":2},"id":"e090440b02df7219","polyshapes":"{}","puzzle_array":[["+","+","+","S","+"],["+","A-B","+","o-B","G"],["+","+","+","+","+"],["G","A-G","+","A-B","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["G","o-G","+","N","E"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7}],"pathLength":11},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7}],"pathLength":13}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 3\n y: 0\n end:\n x: 4\n y: 7\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.1946153378964044,"grid_size":{"height":2,"width":5},"id":"f758efc83c595b04","polyshapes":"{}","puzzle_array":[["+","+","+","S","+","+","+","+","+","+","+"],["+","N","+","N","+","A-P","+","N","+","D-P","E"],["+","+","+","+","+","+","+","+","+",".","+"],["+","A-P","+","N","+","N","+","B-W","+","*-P","+"],["+","+",".","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 3\n y: 0\n end:\n x: 10\n y: 1\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"purple\"\n - position:\n x: 9\n y: 2\n properties:\n dot: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n"} {"difficulty_level":5,"difficulty_score":4.292238591599003,"grid_size":{"height":3,"width":6},"id":"ac7626649901d917","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","A-P","+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","P-P-112","+","o-P","+","N","+","P-P-560","+","B-P","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","E"],["+","B-P","+","N","+","N","+","o-P","+","N","+","N","+"],["S","+","+","G","+","+","+","+","+","+","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4}],"pathLength":39},{"index":1,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4}],"pathLength":43},{"index":2,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4}],"pathLength":35},{"index":3,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4}],"pathLength":39},{"index":4,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":5},{"x":12,"y":4}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 0\n y: 6\n end:\n x: 12\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"purple\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n"} {"difficulty_level":2,"difficulty_score":1.7748875334504164,"grid_size":{"height":3,"width":4},"id":"cb28e0534aa0b063","polyshapes":"{}","puzzle_array":[["+","+","+","+",".","+","+","+","+"],["+","A-G","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","o-G","+","N","+","N","+","N","."],["+","+","+",".","+","+",".","+","+"],["+","N","+","o-G",".","N","+","N","+"],["+","+","+","E","+","+","+","+","S"]],"solution_count":11,"solutions":[{"index":0,"path":[{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6}],"pathLength":26},{"index":1,"path":[{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6}],"pathLength":26},{"index":2,"path":[{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6}],"pathLength":30},{"index":3,"path":[{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6}],"pathLength":34},{"index":4,"path":[{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6}],"pathLength":26},{"index":5,"path":[{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6}],"pathLength":30},{"index":6,"path":[{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6}],"pathLength":34},{"index":7,"path":[{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6}],"pathLength":30},{"index":8,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":36},{"index":9,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":32},{"index":10,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":36}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 8\n y: 6\n end:\n x: 3\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 4\n y: 0\n properties:\n dot: 1\n - position:\n x: 4\n y: 5\n properties:\n dot: 1\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n - position:\n x: 8\n y: 3\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.287075054550843,"grid_size":{"height":2,"width":3},"id":"b7b14b2fbd23c24b","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","+","G","+","+","+"],["+","N","+","N","+","N","."],["+","+","+","+","+","G","E"],["+","N","+","N","+","P-O-800","G"],["+",".","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 1\n y: 0\n end:\n x: 6\n y: 2\n cells:\n - position:\n x: 1\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"orange\"\n - position:\n x: 6\n y: 1\n properties:\n dot: 1\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.8134866817380155,"grid_size":{"height":3,"width":3},"id":"f7c670905617d0e2","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","+","+"],["+","P-B-4368","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","B-B","+","P-B-4368","G"],["+","+","+","+","+","+","+"],["+","P-B-4368","+","*-B","+","N","E"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 0\n end:\n x: 6\n y: 5\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"blue\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"blue\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.7615628070977487,"grid_size":{"height":2,"width":3},"id":"cc060a01c6f06fab","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+",".","+","+","+","E","+"],["+","P-G-4368","+","N","+","N","+"],["+","+","+","+","+",".","+"],["S","o-G","+","N","+","N","+"],["+",".","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 3\n end:\n x: 5\n y: 0\n cells:\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 1\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.463473360572837,"grid_size":{"height":4,"width":3},"id":"a8a6d541abcb65e9","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"3856\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,1,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","+",".","+","+","+"],["+","P-K-800","+","*-Y","+","P-W-3856","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-W-48","+","*-W","+"],["+","+","+","+","+","+","+"],["+","A-G","+","o-K","+","P-Y-272","+"],["+","+","+","+","E","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 1\n y: 0\n end:\n x: 4\n y: 8\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"black\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 3856\n color: \"white\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"yellow\"\n"} {"difficulty_level":5,"difficulty_score":4.585021118143553,"grid_size":{"height":4,"width":5},"id":"703d0229f69d6415","polyshapes":"{}","puzzle_array":[["S","+","+","+","+","E","+","+","+","+","+"],["+","A-P","+","o-K","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+",".","+","+"],["+","N","+","N","+","*-K","+","A-K","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-K","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","o-B","+","A-P","+","N","G","o-K","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":16,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":44},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":40},{"index":2,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":40},{"index":3,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":40},{"index":4,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":44},{"index":5,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":40},{"index":6,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":40},{"index":7,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":40},{"index":8,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":48},{"index":9,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":44},{"index":10,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":44},{"index":11,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":44},{"index":12,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":48},{"index":13,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":44},{"index":14,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":44},{"index":15,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":44}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 0\n y: 0\n end:\n x: 5\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 6\n y: 7\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.3317660609853457,"grid_size":{"height":5,"width":3},"id":"608f0139a3c6e1de","polyshapes":"{}","puzzle_array":[["+","+","+","+","+",".","+"],["+","N",".","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","*-Y","+","N","+"],["+","+","+","+","+",".","+"],["E","N","+","N","+","N","+"],["+","+",".","+","+","+","+"],["+","N","+","o-Y","+","N","."],["+","+","+","+","+","+","+"],["+","o-Y","+","N","+","N","+"],["+","+","S","+","+","+","+"]],"solution_count":32,"solutions":[{"index":0,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":38},{"index":1,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":42},{"index":2,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":40},{"index":3,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":36},{"index":4,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":44},{"index":5,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":40},{"index":6,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":36},{"index":7,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":42},{"index":8,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":46},{"index":9,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":44},{"index":10,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":40},{"index":11,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":48},{"index":12,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":44},{"index":13,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":40},{"index":14,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":38},{"index":15,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":38},{"index":16,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":42},{"index":17,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":38},{"index":18,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":38},{"index":19,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":42},{"index":20,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":42},{"index":21,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":46},{"index":22,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":42},{"index":23,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":42},{"index":24,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":38},{"index":25,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":42},{"index":26,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":44},{"index":27,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":40},{"index":28,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":34},{"index":29,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":34},{"index":30,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":38},{"index":31,"path":[{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":38}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 2\n y: 10\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 4\n properties:\n dot: 1\n - position:\n x: 6\n y: 7\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.133463918742374,"grid_size":{"height":4,"width":5},"id":"83e85cc51ea9b2fb","polyshapes":"{}","puzzle_array":[["+","+","+","E","+","+","+","+","+","G","+"],["+","N","+","N","G","o-R","+","N","+","o-G","G"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","A-R","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","o-G","+","N","+","N","+","N","+","B-G","+"],["+","+","+","+","+","+","+","+","+","+","S"],["G","o-R","+","N",".","o-R","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":30,"solutions":[{"index":0,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":38},{"index":1,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":38},{"index":2,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":42},{"index":3,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":42},{"index":4,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":46},{"index":5,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":46},{"index":6,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":38},{"index":7,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":34},{"index":8,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":38},{"index":9,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":34},{"index":10,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":42},{"index":11,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":38},{"index":12,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":42},{"index":13,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":42},{"index":14,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":46},{"index":15,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":46},{"index":16,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":50},{"index":17,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":50},{"index":18,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":38},{"index":19,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":34},{"index":20,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":38},{"index":21,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":34},{"index":22,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":42},{"index":23,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":38},{"index":24,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":38},{"index":25,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":38},{"index":26,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":42},{"index":27,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":42},{"index":28,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":42},{"index":29,"path":[{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":46}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 10\n y: 6\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 7\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 9\n y: 0\n properties:\n gap: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n - position:\n x: 10\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.443232198252384,"grid_size":{"height":2,"width":5},"id":"899bbb366dc44689","polyshapes":"{}","puzzle_array":[["+","G","+","+","+","+","+","+",".","+","S"],["+","N","+","*-Y","+","A-Y","+","N","+","B-Y","+"],["+","+","+",".","+","+","+","+","+","+","E"],["+","N","+","o-Y","+","N","+","N","+","N","."],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":27},{"index":1,"path":[{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 10\n y: 0\n end:\n x: 10\n y: 2\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 8\n y: 0\n properties:\n dot: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 10\n y: 3\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.7841281695300297,"grid_size":{"height":5,"width":2},"id":"c8b18eeabcd973f1","polyshapes":"{}","puzzle_array":[["+","+","E","+","S"],["+","N","+","o-P","+"],["+","G","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+",".","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","o-P","+","N","+"],["+",".","+","+","+"]],"solution_count":7,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":35},{"index":1,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":31},{"index":2,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0}],"pathLength":27},{"index":3,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0}],"pathLength":31},{"index":4,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":31},{"index":5,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":31},{"index":6,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 4\n y: 0\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 6\n properties:\n dot: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 10\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"da30abc42943f24c","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["S","P-P-304","+","o-P","+"],["+","+","+","+","+"],["+","o-P","+","P-P-16","E"],["+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":15},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":9},{"index":2,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":9},{"index":3,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"purple\"\n"} {"difficulty_level":5,"difficulty_score":4.560571268691486,"grid_size":{"height":5,"width":3},"id":"e399bce353272491","polyshapes":"{\"12832\":[[0,0,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"1824\":[[0,0,1,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","E","+","+"],["+","o-Y","+","N","+","*-G","S"],["+","+","+","G","+","+","+"],["+","N","+","P-Y-1824","+","o-Y","+"],["+","+","+","+","+","+","+"],["+","N","G","P-P-816","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","P-R-12832","+"],["+","+","+","+","+","+","+"],["+","P-K-304","G","N","+","B-G","+"],["+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":38},{"index":1,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 6\n y: 1\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"black\"\n - position:\n x: 2\n y: 5\n properties:\n gap: 1\n - position:\n x: 2\n y: 9\n properties:\n gap: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1824\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"purple\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 12832\n color: \"red\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n"} {"difficulty_level":5,"difficulty_score":4.470450290247271,"grid_size":{"height":4,"width":5},"id":"7306458c0105872e","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","E","+"],["+","N","+","N","+","*-W","+","N","+","D-W","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","P-R-4368","+","*-R","+","N","+","A-R","+","B-W","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-R","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","S"]],"solution_count":16,"solutions":[{"index":0,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":50},{"index":1,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":54},{"index":2,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":54},{"index":3,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":54},{"index":4,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":54},{"index":5,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":54},{"index":6,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":54},{"index":7,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":58},{"index":8,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":54},{"index":9,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":54},{"index":10,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":54},{"index":11,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":58},{"index":12,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":54},{"index":13,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":58},{"index":14,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":58},{"index":15,"path":[{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0}],"pathLength":58}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 10\n y: 8\n end:\n x: 9\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"white\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n"} {"difficulty_level":5,"difficulty_score":4.292238591599003,"grid_size":{"height":6,"width":3},"id":"e605eb2515ac4bfe","polyshapes":"{\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","+","+"],["+","N","+","o-B","+","N","+"],["+","+","+","+","+","+","E"],["+","N","+","N","+","B-B","+"],["+","+","+","+","+","+","+"],["+","A-B","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","o-B","+","P-Y-864","+","N","+"],["+","G","+","+","+","+","+"],["+","o-B","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","o-B","G","N","+"],["+","+","+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2}],"pathLength":49},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2}],"pathLength":45},{"index":2,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2}],"pathLength":41}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 0\n y: 0\n end:\n x: 6\n y: 2\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 8\n properties:\n gap: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"yellow\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 4\n y: 11\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n"} {"difficulty_level":1,"difficulty_score":0.6964758473424609,"grid_size":{"height":2,"width":3},"id":"2f52e830064190c4","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"8976\":[[0,1,1,0],[0,0,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["E","P-W-16","+","N","+","P-G-16","G"],["+","+","+","+","+","+","+"],["+","N","+","P-G-8976","+","N","+"],["+","+","+","+","+","S","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":9},{"index":1,"path":[{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":13}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 5\n y: 4\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8976\n color: \"green\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"green\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.6267131995730515,"grid_size":{"height":5,"width":3},"id":"226fd6aa76fd90b5","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","S","+","+"],["+","N","+","N","+","N","+"],["+","G","+","+","+","+","."],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],[".","N","+","*-R","+","*-R","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-B-4368","+","*-B","+"],["+",".","E","+","+","+","+"]],"solution_count":14,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":1,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":2,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":3,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":4,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":41},{"index":5,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":6,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":7,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":41},{"index":8,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":9,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":41},{"index":10,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":41},{"index":11,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":12,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":13,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":41}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 4\n y: 0\n end:\n x: 2\n y: 10\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 10\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"blue\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.2021016488951353,"grid_size":{"height":3,"width":5},"id":"70bb35cbdc82f22d","polyshapes":"{\"12560\":[[0,1,1,1],[0,0,0,1],[0,0,0,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","S","+","+","E"],["+","N","+","N","+","N","+","N","+","o-Y","G"],["+","+","+","+","+","+","+","+",".","+","+"],["+","N","+","N","+","P-B-272","+","N","+","P-B-16","+"],["+","+","+","+","+","+","+","+","+","+","+"],["G","o-B","+","N","+","P-B-4368","G","N","+","P-B-12560","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":34},{"index":1,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":34},{"index":2,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":30},{"index":3,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":30},{"index":4,"path":[{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 7\n y: 0\n end:\n x: 10\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"blue\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"blue\"\n - position:\n x: 6\n y: 5\n properties:\n gap: 1\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"blue\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"poly\"\n polyshape: 12560\n color: \"blue\"\n - position:\n x: 10\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.1572662137465404,"grid_size":{"height":2,"width":3},"id":"c92372bd94215032","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","*-B","+","*-B","+","N","+"],["E","+","+","+","+","+","+"],["+","P-Y-816","G","P-Y-16","+","P-B-16","S"],["+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":12},{"index":1,"path":[{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 6\n y: 3\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"yellow\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"blue\"\n"} {"difficulty_level":5,"difficulty_score":4.442746064416205,"grid_size":{"height":3,"width":6},"id":"7490b794631b985e","polyshapes":"{\"1136\":[[0,1,0,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]],\"1648\":[[0,1,0,0],[0,1,1,0],[0,1,1,0],[0,0,0,0]],\"1856\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","E","+","+","+","G","+","+","+","S","+"],["+","N","+","N","+","N","+","P-B-1856","+","N","+","o-G","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","o-K","+","A-B","+","P-G-48","+","N","+","P-G-1136","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","P-G-1648","+","N","+","N","+","B-B","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":43},{"index":1,"path":[{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":41}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 11\n y: 0\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1648\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"green\"\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1856\n color: \"blue\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1136\n color: \"green\"\n - position:\n x: 11\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n"} {"difficulty_level":1,"difficulty_score":0.4135306388551885,"grid_size":{"height":4,"width":2},"id":"82877e44b5aa0795","polyshapes":"{}","puzzle_array":[["+","+","+","G","+"],["+","N","+","N","+"],["+","G","+","+","+"],["+","o-R","G","N","+"],["+","+","+","G","+"],["+","N","+","N","+"],["+","G",".","G","+"],["+","N","+","N","+"],["+","+","+","S","E"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 3\n y: 8\n end:\n x: 4\n y: 8\n cells:\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.8281432733786116,"grid_size":{"height":3,"width":2},"id":"5f0427651d0b984c","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","o-Y","+","o-W","+"],["S","+","+","+","+"],["+","o-W","+","o-W","+"],["+","+","+","+","+"],["+","o-W","+","o-P","+"],["+","+","+","E","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 0\n y: 2\n end:\n x: 3\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":3,"difficulty_score":2.8134866817380155,"grid_size":{"height":3,"width":3},"id":"a6aca58a3edafcc2","polyshapes":"{\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","G","+","E","+","+","+"],["+","A-K","+","N","+","o-K","S"],["+","+","+","+",".","+","+"],["+","N","+","P-K-784","+","B-K","+"],["+","+","+","+","+","+","+"],[".","N","+","N","+","o-K","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 1\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"black\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n"} {"difficulty_level":5,"difficulty_score":4.94949577131723,"grid_size":{"height":4,"width":6},"id":"b9f806a3aba3a370","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"29760\":[[0,0,0,1],[0,0,0,1],[0,1,1,1],[0,0,0,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"624\":[[0,1,0,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","B-K","+","N","+","N","+","N","+","N","+","N","+"],["S","+","+","+","+","+","+","+","+","+","+","+","+"],["+","P-K-4368","+","o-P","+","N","+","*-P","+","N","+","o-P","+"],["E","+","+","+","+","+",".","+","+","+","+","+","+"],["+","N","+","N","+","*-R","+","N","+","P-G-272","+","N","+"],["+","+","+","+",".","+","+","+","+","+","+","+","+"],["+","P-R-624","+","o-R","+","P-K-29760","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4}],"pathLength":55},{"index":1,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":10,"y":7},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4}],"pathLength":51}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 4\n start:\n x: 0\n y: 2\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"black\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 624\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 29760\n color: \"black\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"green\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":5,"difficulty_score":4.943632531956138,"grid_size":{"height":5,"width":5},"id":"6663c8ddf3565b3f","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"18192\":[[0,1,1,0],[0,0,1,0],[0,0,1,1],[0,0,0,0]],\"4896\":[[0,0,1,1],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["E","N","+","N","+","P-P-16","+","B-R","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","o-B","+","*-B","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-K-4896","+","N","+","P-B-18192","+","N","+"],["+","+","+","G","+","+","+","+","+","+","+"],["S","N","+","o-Y","+","B-G","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","*-G","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":11,"solutions":[{"index":0,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":49},{"index":1,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":47},{"index":2,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":41},{"index":3,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":47},{"index":4,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":41},{"index":5,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":51},{"index":6,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":45},{"index":7,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":55},{"index":8,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":49},{"index":9,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":55},{"index":10,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":49}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 5\n start:\n x: 0\n y: 7\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 4896\n color: \"black\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"purple\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"poly\"\n polyshape: 18192\n color: \"blue\"\n"} {"difficulty_level":2,"difficulty_score":1.8210114488947993,"grid_size":{"height":5,"width":2},"id":"df855ae9d3a12db5","polyshapes":"{\"3904\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,1,0]]}","puzzle_array":[["+","+",".","S","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N",".","*-R","G"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["E","N","+","P-R-3904","+"],[".","+","+",".","+"],["+","*-R","+","*-R","+"],["+","+",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 3\n y: 0\n end:\n x: 0\n y: 7\n cells:\n - position:\n x: 0\n y: 8\n properties:\n dot: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 2\n y: 10\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 3904\n color: \"red\"\n - position:\n x: 3\n y: 8\n properties:\n dot: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":3,"width":4},"id":"fea07309116da353","polyshapes":"{\"368\":[[0,1,1,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","+","+","+","+","+","+","+"],["+","N","+","N","+","P-W-816","+","P-W-48","+"],["+","+","+","+","+","+","+","+","+"],["+","P-W-368","+","N","+","A-W","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","G","N","+"],["+","+","+","+","E","G","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6}],"pathLength":32},{"index":1,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 1\n y: 0\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 368\n color: \"white\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"white\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 5\n y: 6\n properties:\n gap: 1\n - position:\n x: 6\n y: 5\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n"} {"difficulty_level":5,"difficulty_score":4.176511079230344,"grid_size":{"height":4,"width":5},"id":"10aae2671ff44dc2","polyshapes":"{\"1872\":[[0,1,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],[".","N","+","o-Y","+","N","+","o-Y","+","N","+"],["+","+",".","+","+","+","+","+","+","+","+"],["S","N","+","N","+","N",".","N","+","*-Y","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N",".","P-G-1872","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","E"],[".","N","+","N","+","N","+","N","+","o-Y","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":16,"solutions":[{"index":0,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6}],"pathLength":58},{"index":1,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6}],"pathLength":54},{"index":2,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6}],"pathLength":54},{"index":3,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6}],"pathLength":54},{"index":4,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6}],"pathLength":54},{"index":5,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6}],"pathLength":50},{"index":6,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6}],"pathLength":50},{"index":7,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6}],"pathLength":50},{"index":8,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6}],"pathLength":42},{"index":9,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6}],"pathLength":42},{"index":10,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6}],"pathLength":42},{"index":11,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6}],"pathLength":46},{"index":12,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6}],"pathLength":46},{"index":13,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6}],"pathLength":50},{"index":14,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6}],"pathLength":54},{"index":15,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6}],"pathLength":58}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 0\n y: 3\n end:\n x: 10\n y: 6\n cells:\n - position:\n x: 0\n y: 1\n properties:\n dot: 1\n - position:\n x: 0\n y: 7\n properties:\n dot: 1\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 2\n y: 5\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1872\n color: \"green\"\n - position:\n x: 6\n y: 3\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 9\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":1,"difficulty_score":0.21396079080619634,"grid_size":{"height":2,"width":2},"id":"b40b772a9ef00980","polyshapes":"{}","puzzle_array":[["+","+","+","+","E"],["S","N","+","o-K","+"],["+","+","+",".","+"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":10},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":8},{"index":2,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":16},{"index":3,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":12}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.689587979200724,"grid_size":{"height":3,"width":6},"id":"cf9dfd87180659b","polyshapes":"{\"69904\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-B","+","N","G","N","+","N","+"],["+","+","+","+","+","+","+",".","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","B-W","+","A-B","+"],["+","+",".","+","+","+","+","+","+","+",".","+","+"],["+","N","+","N","+","N","+","N","+","P-P-69904","+","N","+"],["+","+","+","S",".","+","+","+","+","E","+","+","+"]],"solution_count":10,"solutions":[{"index":0,"path":[{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6}],"pathLength":53},{"index":1,"path":[{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6}],"pathLength":49},{"index":2,"path":[{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6}],"pathLength":49},{"index":3,"path":[{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6}],"pathLength":49},{"index":4,"path":[{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6}],"pathLength":49},{"index":5,"path":[{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6}],"pathLength":49},{"index":6,"path":[{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6}],"pathLength":53},{"index":7,"path":[{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6}],"pathLength":49},{"index":8,"path":[{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6}],"pathLength":45},{"index":9,"path":[{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6}],"pathLength":45}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 3\n y: 6\n end:\n x: 9\n y: 6\n cells:\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 7\n y: 2\n properties:\n dot: 1\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"poly\"\n polyshape: 69904\n color: \"purple\"\n - position:\n x: 10\n y: 4\n properties:\n dot: 1\n - position:\n x: 11\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n"} {"difficulty_level":2,"difficulty_score":1.2184262129619585,"grid_size":{"height":2,"width":2},"id":"c2f1726c32030b96","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["S","*-Y","+","*-Y","+"],["+","+","+","+","+"],["+","*-K","+","*-K","+"],["+","+","E","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4}],"pathLength":16},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4}],"pathLength":12},{"index":2,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4}],"pathLength":10},{"index":3,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4}],"pathLength":6}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 2\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n"} {"difficulty_level":3,"difficulty_score":2.040475531373722,"grid_size":{"height":5,"width":3},"id":"51b9bb5cdf4abfef","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","P-P-816","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],[".","G","+","+","+",".","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","."],["+","o-P","+","N","+","N","S"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","."],["E","+","+","+","+","+","+"]],"solution_count":12,"solutions":[{"index":0,"path":[{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":36},{"index":1,"path":[{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10}],"pathLength":40},{"index":2,"path":[{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":36},{"index":3,"path":[{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":36},{"index":4,"path":[{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":40},{"index":5,"path":[{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10}],"pathLength":38},{"index":6,"path":[{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10}],"pathLength":38},{"index":7,"path":[{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10}],"pathLength":38},{"index":8,"path":[{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10}],"pathLength":38},{"index":9,"path":[{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":38},{"index":10,"path":[{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":38},{"index":11,"path":[{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 6\n y: 7\n end:\n x: 0\n y: 10\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"purple\"\n - position:\n x: 5\n y: 4\n properties:\n dot: 1\n - position:\n x: 6\n y: 6\n properties:\n dot: 1\n - position:\n x: 6\n y: 9\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.4993691614899567,"grid_size":{"height":3,"width":3},"id":"820399c7eebb39c2","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","E","+"],["S","o-B","+","N","+","o-Y","+"],["+","+","+","+","+","+","+"],["+","o-P","+","o-B","+","o-B","+"],["+","+","+","+","+","+","+"],["+","o-P","+","o-P","+","o-B","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 1\n end:\n x: 5\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n"} {"difficulty_level":4,"difficulty_score":3.9744825032693516,"grid_size":{"height":6,"width":2},"id":"58fff3d41575caab","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","G","+","+","+"],["+","N","+","A-G","+"],["+","+","+","+","+"],["+","*-B","+","N","+"],["+","+","+","+","+"],["+","N","+","D-G","S"],["+","+","+","+","+"],["+","*-B","+","N","G"],["+","+","+","+","+"],["+","N","+","N","+"],["+","G","+","+","+"],["+","P-B-816","G","o-W","+"],["+","+","E","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 5\n end:\n x: 2\n y: 12\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 10\n properties:\n gap: 1\n - position:\n x: 1\n y: 11\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"blue\"\n - position:\n x: 2\n y: 11\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 4\n color: \"green\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 4\n y: 7\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":3,"width":2},"id":"fed3e5eff97750d6","polyshapes":"{\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","G","+"],["+","B-R","+","P-R-864","+"],["E","G","+","+","+"],["+","N","+","D-R","S"],["+","G","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 5\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 4\n color: \"red\"\n"} {"difficulty_level":2,"difficulty_score":1.7221925401823723,"grid_size":{"height":3,"width":2},"id":"fa1114b465eb178","polyshapes":"{}","puzzle_array":[["S","+","+","G","+"],["+","N","+","N","G"],["+","+","+","+","+"],["+","A-O","+","N","+"],["+","+","+","+","+"],["+","o-R","G","*-R","+"],["+","+","+","+","E"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":19},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6}],"pathLength":11},{"index":2,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6}],"pathLength":11},{"index":3,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 0\n y: 0\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 2\n y: 5\n properties:\n gap: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.756154209198361,"grid_size":{"height":5,"width":3},"id":"611f87b14c17edb2","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","o-R","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","o-R","+","N","+"],["E","+","+","+","+","+","+"],["+","A-R","+","N","+","o-B","+"],["+","+","+","+","+","+","+"],["+","*-R","+","N","G","o-R","G"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","S","+","+","+","+","+"]],"solution_count":36,"solutions":[{"index":0,"path":[{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":20},{"index":1,"path":[{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":24},{"index":2,"path":[{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":28},{"index":3,"path":[{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":24},{"index":4,"path":[{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":28},{"index":5,"path":[{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":28},{"index":6,"path":[{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":32},{"index":7,"path":[{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":32},{"index":8,"path":[{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":36},{"index":9,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":34},{"index":10,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":38},{"index":11,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":38},{"index":12,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":42},{"index":13,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":42},{"index":14,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":46},{"index":15,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":26},{"index":16,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":30},{"index":17,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":34},{"index":18,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":30},{"index":19,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":34},{"index":20,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":34},{"index":21,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":38},{"index":22,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":38},{"index":23,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":42},{"index":24,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":22},{"index":25,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":26},{"index":26,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":30},{"index":27,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":26},{"index":28,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":30},{"index":29,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":30},{"index":30,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":34},{"index":31,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":34},{"index":32,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":38},{"index":33,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":18},{"index":34,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":22},{"index":35,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 1\n y: 10\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 4\n y: 7\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 6\n y: 7\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.8103313509722974,"grid_size":{"height":2,"width":6},"id":"d182949e859cba4f","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","E","+","+","+","+","+"],["+","N","+","P-O-272","+","N","+","P-P-816","+","N","+","N","+"],["+","+","+","+","+","+","+","+",".","+","+","+","+"],["+","N","+","N","+","N","+","P-K-16","+","P-Y-304","+","P-R-272","S"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":12,"y":3},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0}],"pathLength":31},{"index":1,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0}],"pathLength":19},{"index":2,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0}],"pathLength":29},{"index":3,"path":[{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 12\n y: 3\n end:\n x: 7\n y: 0\n cells:\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"orange\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"black\"\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"yellow\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"red\"\n"} {"difficulty_level":4,"difficulty_score":3.4254379549967533,"grid_size":{"height":6,"width":2},"id":"cdb63ede036474c5","polyshapes":"{\"1824\":[[0,0,1,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"624\":[[0,1,0,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","+","+","+"],["+","D-O","+","N","+"],["+","+","+","+","+"],["+","o-O","+","N","+"],[".","+","+","+","+"],["+","N","+","P-R-1824","+"],["+","+","+","+","+"],["+","N","+","o-O","+"],["+","+","+","+","+"],["+","P-O-624","+","N","+"],["+","+","+","+","+"],["+","N","+","B-R","+"],["+","E","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12}],"pathLength":41}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 1\n y: 0\n end:\n x: 1\n y: 12\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 624\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1824\n color: \"red\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n"} {"difficulty_level":4,"difficulty_score":3.745605836981043,"grid_size":{"height":6,"width":2},"id":"851fd63e172dbba0","polyshapes":"{\"1392\":[[0,1,1,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"50\":[[0,1,0,0],[1,1,0,0],[0,0,0,0],[0,0,0,0]],\"752\":[[0,1,0,0],[0,1,1,0],[0,1,0,0],[0,1,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","P-R-16","+","N","+"],["+","+","+","+","+"],["+","Y-R-50","+","P-R-48","+"],["+","+","+","+","+"],["+","N","+","N","+"],["E","+","+","+","+"],["S","P-O-1392","+","N","+"],["+","+","+","+","+"],["+","N","+","o-R","G"],["+","+","+","+","+"],["+","o-R","+","P-R-752","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":40},{"index":1,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":36}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 0\n y: 7\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 50\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 1392\n color: \"orange\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"red\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"poly\"\n polyshape: 752\n color: \"red\"\n - position:\n x: 4\n y: 9\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.7979013261124335,"grid_size":{"height":4,"width":2},"id":"4de04b3c4d15b5d5","polyshapes":"{\"3632\":[[0,1,0,0],[0,1,1,0],[0,0,1,0],[0,0,1,0]]}","puzzle_array":[["+","+","+","S","+"],["+","P-K-3632","+","D-K","+"],["+","+","+","+","."],["+","N","+","N","+"],["+","+","+","+","E"],["+","o-K",".","o-K","+"],["+","+","+","+","+"],["+","A-K","+","N","+"],["+","+","+",".","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 3\n y: 0\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 3632\n color: \"black\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 2\n y: 5\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"black\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 8\n properties:\n dot: 1\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.7134671280606637,"grid_size":{"height":3,"width":3},"id":"95916b71a3f794ff","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","E"],["+","N","+","o-P","+","N","G"],["+","+","+","+","+","+","+"],["+","N","+","A-P","+","o-P","+"],["+","+","+","+","+","G","+"],["+","o-R","+","N","+","N","+"],["+","+","+","+","+","S","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":18},{"index":1,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":22},{"index":2,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":18},{"index":3,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":14},{"index":4,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":18},{"index":5,"path":[{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":18},{"index":6,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":28},{"index":7,"path":[{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 5\n y: 6\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"e960398c9fbd29fe","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","B-O","+","o-R","+"],["+","+","+","+","+"],["+","o-R","+","A-B","E"],["S","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":12},{"index":1,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":12}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n"} {"difficulty_level":2,"difficulty_score":1.792578973158367,"grid_size":{"height":2,"width":4},"id":"9a5dbca10f5418db","polyshapes":"{\"12832\":[[0,0,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","S","+","+","+","+","+","+"],["+","N","+","o-G","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","*-G","+","P-G-12832","+","N","+","N","+"],["E","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":23},{"index":1,"path":[{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":15}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 2\n y: 0\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 12832\n color: \"green\"\n"} {"difficulty_level":2,"difficulty_score":1.3877540051291066,"grid_size":{"height":4,"width":2},"id":"857ae50f99d9f3ac","polyshapes":"{}","puzzle_array":[["+","+","+",".","+"],["+","o-R","+","o-B","+"],["S","+","+","+","+"],["G","N","+","o-B","+"],[".","+","+","+","+"],["+","o-Y","+","N","+"],["+","+","+","+","+"],["+","N","+","o-W","E"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7}],"pathLength":22},{"index":1,"path":[{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 0\n y: 2\n end:\n x: 4\n y: 7\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"white\"\n"} {"difficulty_level":4,"difficulty_score":3.442249104222581,"grid_size":{"height":6,"width":3},"id":"a2106593071eb66a","polyshapes":"{}","puzzle_array":[["+","S","+","+","+","+","+"],["+","N","+","o-B","+","N","E"],["+","+","+","+","+","+","+"],["+","o-B","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","o-Y","+","o-B","+"],["+","+","+",".","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","G","+","G","+"],["+","*-Y","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":31,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":37},{"index":1,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":33},{"index":2,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":27},{"index":3,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":45},{"index":4,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":41},{"index":5,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":35},{"index":6,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":45},{"index":7,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":41},{"index":8,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":35},{"index":9,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":45},{"index":10,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":41},{"index":11,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":35},{"index":12,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":31},{"index":13,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":39},{"index":14,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":39},{"index":15,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":39},{"index":16,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":33},{"index":17,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":41},{"index":18,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":41},{"index":19,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":41},{"index":20,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":45},{"index":21,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":41},{"index":22,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":37},{"index":23,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":35},{"index":24,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":29},{"index":25,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":43},{"index":26,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":37},{"index":27,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":43},{"index":28,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":37},{"index":29,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":43},{"index":30,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":37}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 1\n y: 0\n end:\n x: 6\n y: 1\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 10\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 5\n y: 10\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.103984217646374,"grid_size":{"height":2,"width":4},"id":"95fc27b34533357d","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+","+","+","+","S"],["+","o-O","+","*-Y","+","*-Y","+","*-Y","+"],["+","+","+","+","+","+","+","+","+"],["+","P-R-800","+","*-Y","+","o-O","+","P-W-816","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":21},{"index":1,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 8\n y: 0\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"white\"\n"} {"difficulty_level":2,"difficulty_score":1.6357116736429378,"grid_size":{"height":2,"width":4},"id":"27a3f4a05594287b","polyshapes":"{\"8752\":[[0,1,0,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","P-O-8752","+","*-O","G","N","+","*-O","+"],["+","G","+","+","+","+","+","+","+"],["+","N","G","*-O","G","N","+","N","+"],["S","+","+","+","+","+","+","+","E"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4}],"pathLength":25},{"index":1,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 8\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 8752\n color: \"orange\"\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n"} {"difficulty_level":4,"difficulty_score":3.653284230034737,"grid_size":{"height":2,"width":6},"id":"8676d8ef338255d2","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+","+","+","+","+","+","+","S","+"],["+","o-R","+","*-W","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","P-R-816","+","A-W","+","N","+","A-R","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":12,"solutions":[{"index":0,"path":[{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":20},{"index":1,"path":[{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":28},{"index":2,"path":[{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":24},{"index":3,"path":[{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":24},{"index":4,"path":[{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":24},{"index":5,"path":[{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":20},{"index":6,"path":[{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":26},{"index":7,"path":[{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":26},{"index":8,"path":[{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":22},{"index":9,"path":[{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":22},{"index":10,"path":[{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":30},{"index":11,"path":[{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 11\n y: 0\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n"} {"difficulty_level":2,"difficulty_score":1.8210114488947993,"grid_size":{"height":2,"width":5},"id":"519594536d60e115","polyshapes":"{}","puzzle_array":[["+","+","+","S","+","+","+","+","+","+","+"],["+","A-Y","+","D-Y","+","N","+","o-Y","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","o-Y","+","N",".","N","+","N","E"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3}],"pathLength":27},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3}],"pathLength":23},{"index":2,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3}],"pathLength":19},{"index":3,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":21},{"index":4,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 3\n y: 0\n end:\n x: 10\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 6\n y: 3\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":3,"difficulty_score":2.443232198252384,"grid_size":{"height":5,"width":2},"id":"cecbbabf056d148c","polyshapes":"{\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","E","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","P-W-864","+","N","+"],["+","+","+","+","+"],["+","N","+","*-Y","+"],["+","+","+","+","+"],["+","A-W","+","*-Y","S"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 4\n y: 7\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"white\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"yellow\"\n"} {"difficulty_level":3,"difficulty_score":2.9613663370751766,"grid_size":{"height":2,"width":5},"id":"9cddf98975ee77a2","polyshapes":"{}","puzzle_array":[["+","+","+","+","S","+",".","+","+","+","+"],["+","o-P","+","o-P","+","o-P","+","o-P","+","*-P","+"],["+","+","+","+","+","+","+","+","+","+","+"],["G","N","+","*-P",".","o-P","+","N","+","N","E"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":26},{"index":1,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3}],"pathLength":28},{"index":2,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 4\n y: 0\n end:\n x: 10\n y: 3\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 6\n y: 0\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"star\"\n color: \"purple\"\n"} {"difficulty_level":4,"difficulty_score":3.357434696960528,"grid_size":{"height":4,"width":4},"id":"969355c609397327","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","P-G-816","+","N","+","N","+","A-G","+"],["S","+","+","+","+","+","+","+","+"],["+","N","+","N",".","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","o-R","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N",".","D-R","+","N","+","N","+"],["+","+","+","E","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8}],"pathLength":34},{"index":1,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8}],"pathLength":34},{"index":2,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8}],"pathLength":34},{"index":3,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 0\n y: 2\n end:\n x: 3\n y: 8\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"green\"\n - position:\n x: 2\n y: 7\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 4\n color: \"red\"\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n"} {"difficulty_level":5,"difficulty_score":4.662261770568451,"grid_size":{"height":3,"width":5},"id":"92e56e8b713d5c9d","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","E"],["+","N","+","*-Y","+","N","+","A-B","G","o-Y","+"],["S","+","+","+","+","+","+","+","+","+","+"],["+","*-G","+","N","+","*-Y","G","o-G","+","*-Y","+"],["+","+","+","+","+","G","+","+","+","+","+"],["+","o-Y","+","*-G","+","N","+","o-G","+","A-G","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0}],"pathLength":33}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 0\n y: 2\n end:\n x: 10\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n"} {"difficulty_level":5,"difficulty_score":4.176511079230344,"grid_size":{"height":4,"width":5},"id":"13363083e52f42ac","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","G","N","+","o-B","G"],["+","+","+",".","+","+","+","+","+","+","+"],["+","B-Y","+","N","G","N","+","N","+","P-O-112","+"],["+","G","+","+","+","G","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["G","o-B","+","B-Y","+","N","+","N","+","N","+"],["E","+","+","+","+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":7},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":49},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":7},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":53},{"index":2,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":7},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":45},{"index":3,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":7},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":45}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 8\n cells:\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"orange\"\n - position:\n x: 10\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.874384993997711,"grid_size":{"height":3,"width":5},"id":"d22b1d7fd116be8b","polyshapes":"{\"13088\":[[0,0,1,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","G","+","+","+","G","+","+","+","+","+"],["+","N","+","N","G","N","+","N","+","N","S"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-W-13088","G","A-R","+","N","G"],["+","+","+","G","+","+","+","+","+","+","+"],["+","N","G","o-R","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":40},{"index":1,"path":[{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":36}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 10\n y: 1\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 2\n y: 5\n properties:\n gap: 1\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 13088\n color: \"white\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 10\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.9466201024820604,"grid_size":{"height":6,"width":3},"id":"1bf8d47b32b9b719","polyshapes":"{\"1136\":[[0,1,0,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","G","+"],["+","P-G-4368","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+",".","+","+","+","+"],["+","P-W-1136","+","o-R","+","N","+"],["+","+","+","+",".","+","+"],["+","N","+","N","+","N","."],["+","+","+","+","+","+","+"],[".","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["E","+","+","+","+","+","S"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12}],"pathLength":39},{"index":1,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":39},{"index":2,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12}],"pathLength":35},{"index":3,"path":[{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":39},{"index":4,"path":[{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12}],"pathLength":35},{"index":5,"path":[{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 6\n y: 12\n end:\n x: 0\n y: 12\n cells:\n - position:\n x: 0\n y: 9\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"green\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1136\n color: \"white\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 6\n y: 7\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.5872255773673829,"grid_size":{"height":2,"width":4},"id":"d170cc270db4f272","polyshapes":"{}","puzzle_array":[["+",".","+","+","+","+","+","+","S"],["+","N","G","N","+","N",".","o-G","G"],["+","+","+","+","+","+","+","G","+"],["G","o-O",".","N","+","N","+","N","G"],["E","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":21},{"index":1,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 8\n y: 0\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 6\n y: 1\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 7\n y: 2\n properties:\n gap: 1\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.0747041653866587,"grid_size":{"height":3,"width":4},"id":"8f1f819d287a3bb2","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","*-P","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","o-P","+","*-P","+","A-W","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","*-P","+","N","+","N","+"],["+","+","+","+","+","+","E","+","S"]],"solution_count":29,"solutions":[{"index":0,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":35},{"index":1,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":31},{"index":2,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":27},{"index":3,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":23},{"index":4,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":23},{"index":5,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":23},{"index":6,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":19},{"index":7,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":27},{"index":8,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":27},{"index":9,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":31},{"index":10,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":31},{"index":11,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":35},{"index":12,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":35},{"index":13,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":31},{"index":14,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":27},{"index":15,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":23},{"index":16,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":23},{"index":17,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":23},{"index":18,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":23},{"index":19,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":27},{"index":20,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":31},{"index":21,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":23},{"index":22,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":23},{"index":23,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":23},{"index":24,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":27},{"index":25,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":27},{"index":26,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":27},{"index":27,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":31},{"index":28,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 8\n y: 6\n end:\n x: 6\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n"} {"difficulty_level":3,"difficulty_score":2.0644562175665646,"grid_size":{"height":2,"width":4},"id":"e10bd3e5d6963967","polyshapes":"{}","puzzle_array":[["S","+","+","+","+","+","+","+","+"],[".","N","+","N","+","N","+","o-B","G"],["+","+","+","+","+","+","+","+","E"],["G","o-K",".","o-B","+","o-B","+","A-K","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":15},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 8\n y: 2\n cells:\n - position:\n x: 0\n y: 1\n properties:\n dot: 1\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.579464623001977,"grid_size":{"height":5,"width":2},"id":"5b6ee1f3e4e114a7","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["S","N","+","D-W","E"],["+","+","+","+","+"],["+","*-P","+","*-P","+"],["+","+","+","+","+"],["+","N","+","B-R","+"],["+","+","+","+","+"],["+","*-R","+","N","+"],["+","+","+","+","+"],["G","N","+","*-R","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1}],"pathLength":25},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 1\n end:\n x: 4\n y: 1\n cells:\n - position:\n x: 0\n y: 9\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"star\"\n color: \"red\"\n"} {"difficulty_level":4,"difficulty_score":3.1108698877258605,"grid_size":{"height":3,"width":4},"id":"2691c37dd4b921ae","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","S","+","+"],["+","N","+","N","+","N","+","N","+"],[".","+","+","+","+","+","+","+","+"],["+","*-W","+","*-B","+","*-B","+","o-B","+"],["+","+","+","+","+",".","+","+","+"],["+","N","+","o-W","+","*-O","+","*-O","+"],["E","+","+","+","+","+",".","+","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":33},{"index":1,"path":[{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":2,"path":[{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":37},{"index":3,"path":[{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":33},{"index":4,"path":[{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":37},{"index":5,"path":[{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":33},{"index":6,"path":[{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":37},{"index":7,"path":[{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":33}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 6\n y: 0\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 5\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 6\n y: 6\n properties:\n dot: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"star\"\n color: \"orange\"\n"} {"difficulty_level":1,"difficulty_score":0.7615628070977487,"grid_size":{"height":3,"width":2},"id":"1d13ef360a0d5ca5","polyshapes":"{\"624\":[[0,1,0,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","B-B","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","P-B-624","+","N","+"],["+","S","+","E","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 1\n y: 6\n end:\n x: 3\n y: 6\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 624\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n"} {"difficulty_level":5,"difficulty_score":4.618738165471053,"grid_size":{"height":6,"width":2},"id":"1f85eacd72d02d23","polyshapes":"{}","puzzle_array":[["+","E","+","+","+"],["+","*-Y","+","*-P","+"],["+","+","+","G","+"],["+","o-P","+","*-Y","+"],["+","+","+","+","+"],["+","*-R","+","o-K","+"],["+","+","+","+","+"],["+","o-Y","+","*-P","+"],["+","+","+","+","+"],["+","*-R","+","N","+"],["+","+","+","+","+"],["+","A-B","+","o-P","+"],["+","+","+","S","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 3\n y: 12\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":1,"difficulty_score":0.9160151604407324,"grid_size":{"height":4,"width":2},"id":"9b274fcf3ed44212","polyshapes":"{\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","o-R","+","N","+"],["+","+","+","+","S"],["+","N","+","N","G"],["+","+","+","+","+"],["+","P-P-784","+","N","+"],["E","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":21},{"index":1,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":25},{"index":2,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":25},{"index":3,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 2\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"purple\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.3317660609853457,"grid_size":{"height":3,"width":5},"id":"df15fe6ed4dd7df0","polyshapes":"{}","puzzle_array":[["+","+","+","S","+","+","+","+","+","+","+"],["+","N","+","N","G","N","+","N","G","o-P","G"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+",".","+","+","+","+","E"],["G","o-P","+","B-P","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":28,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":34},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":30},{"index":2,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4}],"pathLength":30},{"index":3,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4}],"pathLength":34},{"index":4,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":34},{"index":5,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":30},{"index":6,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4}],"pathLength":30},{"index":7,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4}],"pathLength":34},{"index":8,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":34},{"index":9,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":30},{"index":10,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4}],"pathLength":30},{"index":11,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4}],"pathLength":34},{"index":12,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":30},{"index":13,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":26},{"index":14,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4}],"pathLength":26},{"index":15,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4}],"pathLength":30},{"index":16,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4}],"pathLength":36},{"index":17,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4}],"pathLength":40},{"index":18,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4}],"pathLength":32},{"index":19,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4}],"pathLength":32},{"index":20,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4}],"pathLength":32},{"index":21,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":36},{"index":22,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4}],"pathLength":36},{"index":23,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4}],"pathLength":36},{"index":24,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":40},{"index":25,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4}],"pathLength":28},{"index":26,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4}],"pathLength":28},{"index":27,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 3\n y: 0\n end:\n x: 10\n y: 4\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 5\n y: 4\n properties:\n dot: 1\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 10\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.996962062851472,"grid_size":{"height":5,"width":6},"id":"52df57cc84fbc153","polyshapes":"{\"1888\":[[0,0,1,0],[0,1,1,0],[0,1,1,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"8976\":[[0,1,1,0],[0,0,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","G","+","+","+","+","+","S","+"],["+","B-Y","+","P-Y-1888","+","N","+","N","+","A-B","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-K","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-G-816","+","N","+","N","+","B-P","+","B-K","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","o-K","+","N","+","P-B-48","+","A-P","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+",".","+","+"],["E","D-P","+","N","+","N","+","P-K-8976","+","A-B","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":12,"y":7},{"x":12,"y":8},{"x":12,"y":9},{"x":12,"y":10},{"x":11,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":59},{"index":1,"path":[{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":12,"y":7},{"x":12,"y":8},{"x":12,"y":9},{"x":12,"y":10},{"x":11,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":57}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 5\n start:\n x: 11\n y: 0\n end:\n x: 0\n y: 9\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"triangle\"\n count: 4\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1888\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"green\"\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"blue\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 7\n y: 9\n properties:\n type: \"poly\"\n polyshape: 8976\n color: \"black\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n - position:\n x: 9\n y: 9\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 10\n y: 8\n properties:\n dot: 1\n - position:\n x: 11\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n"} {"difficulty_level":1,"difficulty_score":0.4586550246401705,"grid_size":{"height":3,"width":2},"id":"cef4eaa4525b4d4a","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","N",".","o-W","+"],[".","+","+","+","+"],["E","o-W","+","N","+"],["+","+","+","+","+"],[".","N","+","N","S"],["+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":23},{"index":1,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":23},{"index":2,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 5\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n"} {"difficulty_level":2,"difficulty_score":1.3482828412566676,"grid_size":{"height":3,"width":3},"id":"2cdfbd4a9f364513","polyshapes":"{}","puzzle_array":[["+","G","+","+","+","S","+"],["+","N","+","N","+","o-G","G"],["+","+","+","+","+","+","."],["+","*-P","+","N","+","N","+"],["+","+","+","+","+","+","+"],["G","o-P",".","N","G","N","+"],["+","+","+","E","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":19},{"index":1,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":15}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 5\n y: 0\n end:\n x: 3\n y: 6\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 2\n y: 5\n properties:\n dot: 1\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.8485883465253945,"grid_size":{"height":6,"width":3},"id":"1ef0bc42f42911b","polyshapes":"{\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"1824\":[[0,0,1,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","N","+","o-G","G"],["+","+","+","+","+","+","+"],["+","*-Y","+","B-Y","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","*-G","+"],["S","+","+","+","+","+","+"],["+","o-Y","+","N","+","P-Y-1824","E"],["+","+","+","+","+","+","+"],["G","o-G","G","N","+","Y-G-18","+"],["+","+","+","+","+","+","+"]],"solution_count":17,"solutions":[{"index":0,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":1,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":2,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":3,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":42},{"index":4,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":42},{"index":5,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":42},{"index":6,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":46},{"index":7,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":46},{"index":8,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":42},{"index":9,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":10,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":11,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":42},{"index":12,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":42},{"index":13,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":42},{"index":14,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":42},{"index":15,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38},{"index":16,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":38}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 0\n y: 8\n end:\n x: 6\n y: 9\n cells:\n - position:\n x: 0\n y: 11\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 2\n y: 11\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"poly\"\n polyshape: 1824\n color: \"yellow\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"green\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.0644562175665646,"grid_size":{"height":4,"width":2},"id":"c94de1c651355827","polyshapes":"{}","puzzle_array":[["+","+","+","G","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","o-R","+","o-B","E"],["+","G","+","+","+"],["+","A-B","+","N","+"],["+","+","+","+","+"],["+","o-B","+","o-B","+"],["+","S","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 1\n y: 8\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"blue\"\n"} {"difficulty_level":3,"difficulty_score":2.000051036065534,"grid_size":{"height":4,"width":4},"id":"5faeb260f219d74a","polyshapes":"{\"18192\":[[0,1,1,0],[0,0,1,0],[0,0,1,1],[0,0,0,0]],\"368\":[[0,1,1,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","G","+","+","+"],["+","N","+","N","+","N","+","P-P-48","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","G","+","+","+","G","+","+","+"],["E","P-P-368","+","N","+","P-P-18192","+","N","+"],["+","+","+","G","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":40}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 368\n color: \"purple\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 18192\n color: \"purple\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"purple\"\n"} {"difficulty_level":3,"difficulty_score":2.8725257447679597,"grid_size":{"height":5,"width":2},"id":"f50e2570d6d028f4","polyshapes":"{\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]]}","puzzle_array":[["S","E","+","+","+"],["+","N","+","N","+"],["+",".","+","+","+"],["+","*-P","+","N","+"],["+","+","+","+","+"],["G","o-G","+","N","+"],["+","+","+","+","+"],["+","P-P-240","+","N","+"],["+","+",".","G","+"],["G","*-G","+","o-G","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 0\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 0\n y: 9\n properties:\n gap: 1\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"purple\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 2\n y: 8\n properties:\n dot: 1\n - position:\n x: 3\n y: 8\n properties:\n gap: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"green\"\n"} {"difficulty_level":4,"difficulty_score":3.9959193839161515,"grid_size":{"height":5,"width":4},"id":"8c2ad5e4cfbbc016","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+","+","+","+","+"],["G","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","o-R","+"],["+","+","+","+","+","+","+","+","."],["+","P-O-112","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","A-O","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-R-272","+","N","+"],["+","+","S","+","+","+","+","+","+"]],"solution_count":21,"solutions":[{"index":0,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":49},{"index":1,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":41},{"index":2,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":45},{"index":3,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":41},{"index":4,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":41},{"index":5,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":45},{"index":6,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":45},{"index":7,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":49},{"index":8,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":45},{"index":9,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":45},{"index":10,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":45},{"index":11,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":45},{"index":12,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":45},{"index":13,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":45},{"index":14,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":45},{"index":15,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":45},{"index":16,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":49},{"index":17,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":45},{"index":18,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":49},{"index":19,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":49},{"index":20,"path":[{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":49}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 2\n y: 10\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"orange\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 8\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.963662836396089,"grid_size":{"height":4,"width":5},"id":"dea5ab3b33019569","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","+","G","+"],["+","N","G","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],[".","N","+","N","+","B-O","+","B-O","+","A-O","+"],["+","+","+","+","+","+","+","+","+","+","."],["+","o-O","+","N","+","N","+","N","+","D-O","E"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","A-O","+","N","G","N","+"],["S","+","+","+","+","+","+","+","+","+","+"]],"solution_count":9,"solutions":[{"index":0,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5}],"pathLength":48},{"index":1,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5}],"pathLength":52},{"index":2,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5}],"pathLength":52},{"index":3,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5}],"pathLength":48},{"index":4,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5}],"pathLength":48},{"index":5,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5}],"pathLength":44},{"index":6,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5}],"pathLength":48},{"index":7,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5}],"pathLength":48},{"index":8,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5}],"pathLength":48}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 0\n y: 8\n end:\n x: 10\n y: 5\n cells:\n - position:\n x: 0\n y: 3\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 8\n y: 7\n properties:\n gap: 1\n - position:\n x: 9\n y: 0\n properties:\n gap: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"triangle\"\n count: 4\n color: \"orange\"\n - position:\n x: 10\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.6186286874773463,"grid_size":{"height":2,"width":3},"id":"22f2c48bcc4ce64f","polyshapes":"{}","puzzle_array":[["+","+","+","G","+","+","+"],["+","N","+","*-K","+","N","S"],["+","+","+","+","+","+","."],["+","o-O","+","*-K","+","o-B","+"],["+","E","+","+","+","+","+"]],"solution_count":7,"solutions":[{"index":0,"path":[{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":21},{"index":1,"path":[{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":25},{"index":2,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":9},{"index":3,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":15},{"index":4,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":19},{"index":5,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":15},{"index":6,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 6\n y: 1\n end:\n x: 1\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.8210114488947993,"grid_size":{"height":5,"width":2},"id":"6be507c084e691cb","polyshapes":"{\"1872\":[[0,1,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","S","+"],["+","N","G","N","G"],["+","+","+","+","+"],["G","*-W","+","*-W","+"],[".","+","+","+","+"],["+","N","+","N","E"],["+","+","+","+","+"],["G","N","+","P-G-1872","+"],["+","+","+","+","+"],["+","N","+","*-G","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 3\n y: 0\n end:\n x: 4\n y: 5\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 1872\n color: \"green\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.6058785993652984,"grid_size":{"height":4,"width":4},"id":"7952d255b6ea209c","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+",".","+","+","+","+",".","+","+"],["+","N","+","N","G","N","+","P-G-272","+"],["+","+","+","+","+","+","+","+","."],["+","P-O-784","+","N","+","N",".","P-O-16","G"],["S","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-R-304","+","Y-R-18","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","P-G-816","+","N","+","P-O-816","+"],["+","G","+","+","+","E","+",".","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 0\n y: 4\n end:\n x: 5\n y: 8\n cells:\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"orange\"\n - position:\n x: 1\n y: 8\n properties:\n gap: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"green\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"red\"\n - position:\n x: 6\n y: 0\n properties:\n dot: 1\n - position:\n x: 6\n y: 3\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"green\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"red\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"orange\"\n - position:\n x: 7\n y: 8\n properties:\n dot: 1\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.3877540051291066,"grid_size":{"height":4,"width":2},"id":"ebcbfd4fa2867c42","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","B-B","+","N","+"],["+","+","+","+","+"],["+","A-O","+","A-B","+"],["+","+","+","+","+"],["+","N","+","A-B","+"],["+","+","+","+","+"],["+","B-B","+","N","S"],["+","+","+","E","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8}],"pathLength":23},{"index":1,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 7\n end:\n x: 3\n y: 8\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n"} {"difficulty_level":5,"difficulty_score":4.02756577505678,"grid_size":{"height":3,"width":4},"id":"3a6ba4ffd84fc4c1","polyshapes":"{}","puzzle_array":[["+","+","E","S","+","+",".","+","+"],["+","o-Y","+","o-Y","+","N","+","o-Y","+"],["+","+","+","+","+","+","+","+","+"],["+","B-Y","+","o-Y","+","o-Y","+","o-Y","+"],["+","G","+","+","+","+","+","+","+"],["G","N","+","N","+","*-Y","+","N","+"],["+","+","+","G","+","+","+","+","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":24},{"index":1,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":2,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":24},{"index":3,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":4,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":5,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 3\n y: 0\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 6\n y: 0\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":4,"difficulty_score":3.745605836981043,"grid_size":{"height":3,"width":4},"id":"93a638921305725f","polyshapes":"{\"4400\":[[0,1,1,1],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","S","+"],["+","N","+","N","+","*-R","+","D-K","+"],["+","+","+","+","+","+","+","+","+"],["+","P-K-4400","+","N","+","*-R","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","P-K-800","+","N","+","*-W","+","P-W-816","+"],["+","+","+","+","+","+","+","E","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6}],"pathLength":31},{"index":1,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 7\n y: 0\n end:\n x: 7\n y: 6\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4400\n color: \"black\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"black\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"white\"\n"} {"difficulty_level":2,"difficulty_score":1.2483607303046271,"grid_size":{"height":4,"width":2},"id":"8ea34b6d23b4761e","polyshapes":"{}","puzzle_array":[["+","+","+","G","+"],["+","N","+","N","+"],["+","G","+","+","+"],["+","A-O","+","N","+"],["+","+","+","+","E"],["+","o-O","G","N","+"],["+",".","+","+","+"],["+","N","+","A-O","+"],["S","+",".","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":13},{"index":1,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 0\n y: 8\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 6\n properties:\n dot: 1\n - position:\n x: 2\n y: 5\n properties:\n gap: 1\n - position:\n x: 2\n y: 8\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n"} {"difficulty_level":5,"difficulty_score":4.84397710500804,"grid_size":{"height":5,"width":4},"id":"88fa0972b417c260","polyshapes":"{\"1264\":[[0,1,0,0],[0,1,0,0],[0,1,1,0],[0,1,0,0]],\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","S"],["+","N","+","o-R","+","N","+","o-R","+"],["+","+","+","+","+","+","+","+","+"],["+","Y-B-18","+","N","+","N","+","N","E"],["+","+","+","+","+","+","+","+","+"],["+","N","+","o-R","+","A-R","+","*-R","+"],["+","+",".","+","+","+","+","+","."],["+","P-B-1264","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","G","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":52},{"index":1,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3}],"pathLength":54}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 8\n y: 0\n end:\n x: 8\n y: 3\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"blue\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 1264\n color: \"blue\"\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 7\n y: 8\n properties:\n gap: 1\n - position:\n x: 8\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.0928129074635047,"grid_size":{"height":4,"width":4},"id":"6eab214d450d4dbe","polyshapes":"{\"3632\":[[0,1,0,0],[0,1,1,0],[0,0,1,0],[0,0,1,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","+","+","+","+","+","+","+"],["+","o-P",".","N","+","o-P","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-P-3632","+","N","E"],[".","+","+","+","+","+","+","+","+"],["+","P-P-560","+","N","+","N","+","N","+"],["+","+","+","+",".","+","+","+","+"],["+","o-P","+","N","+","N","+","N","+"],["+","G","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":35},{"index":1,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 1\n y: 0\n end:\n x: 8\n y: 3\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"purple\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 8\n properties:\n gap: 1\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 3632\n color: \"purple\"\n"} {"difficulty_level":4,"difficulty_score":3.4254379549967533,"grid_size":{"height":4,"width":3},"id":"66af5fa2c849be82","polyshapes":"{\"5952\":[[0,0,1,1],[0,0,1,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","S"],["+","N","+","N","+","o-G","G"],["+","+","+","+","+","+","+"],["+","N","+","P-G-5952","+","*-W","+"],["+","+","+","+","+","+","+"],["+","*-G","+","N","+","N","+"],["+","+","+","+","+","+","+"],["G","o-W","+","N","+","o-W","+"],["+","+","+","+","+","+","E"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":33}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 6\n y: 0\n end:\n x: 6\n y: 8\n cells:\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 5952\n color: \"green\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.442746064416205,"grid_size":{"height":3,"width":6},"id":"3b9f7395fef14327","polyshapes":"{}","puzzle_array":[["+","E","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","o-B","+","N","+","o-B","+","N","+","A-P","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","o-B","+","N","+","N","+","A-W","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","*-W","+","*-P","+","o-B","+","N","+","N","+"],["+","S","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":31,"solutions":[{"index":0,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":27},{"index":1,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":33},{"index":2,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":27},{"index":3,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":31},{"index":4,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":5,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":6,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":35},{"index":7,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":37},{"index":8,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":35},{"index":9,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":35},{"index":10,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":41},{"index":11,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":27},{"index":12,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":31},{"index":13,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":35},{"index":14,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":39},{"index":15,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":25},{"index":16,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":31},{"index":17,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":35},{"index":18,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":31},{"index":19,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":29},{"index":20,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":35},{"index":21,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":31},{"index":22,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":29},{"index":23,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":35},{"index":24,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":29},{"index":25,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":35},{"index":26,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":39},{"index":27,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":29},{"index":28,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":25},{"index":29,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":31},{"index":30,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 1\n y: 6\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 11\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n"} {"difficulty_level":2,"difficulty_score":1.2483607303046271,"grid_size":{"height":2,"width":4},"id":"f8999f1ddbc4e969","polyshapes":"{}","puzzle_array":[["+",".","+","+","+","+","+","G","+"],["+","N","+","N","+","N","+","o-R","G"],["+","+","+","+","+","+","+","+","+"],["+","N","+","D-Y","+","N","+","o-W","+"],["E","+","+","S","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 3\n y: 4\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 4\n color: \"yellow\"\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":3,"width":4},"id":"8d5f970e2d32d4eb","polyshapes":"{\"5952\":[[0,0,1,1],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"880\":[[0,1,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","G","+","+","+","+","+"],["+","P-B-880","+","N","+","N","+","P-B-5952","+"],["E","+","+","+","+","G","+","+","+"],["+","N","+","N","+","*-P","+","N","S"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-P","+","N","+"],["+","+","+","+","+","G","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 8\n y: 3\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 880\n color: \"blue\"\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 6\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 5952\n color: \"blue\"\n"} {"difficulty_level":3,"difficulty_score":2.4394488044663394,"grid_size":{"height":2,"width":6},"id":"2ba08168d4f94e2f","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+","o-R","G"],["+","+","+","+","+","+","+","+","+","+","+","+","E"],["G","o-B","+","P-O-272","+","o-B","+","N","+","N","+","P-B-816","+"],["+","S","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":3},{"x":12,"y":2}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 1\n y: 4\n end:\n x: 12\n y: 2\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"orange\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 11\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"blue\"\n - position:\n x: 12\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":4,"width":3},"id":"442360e781344ca6","polyshapes":"{}","puzzle_array":[["+","+","+","E","+","+","+"],["+","N","+","D-B","+","A-G","+"],["+","+","+","+","+","+","+"],["+","B-G","+","A-G","+","N","+"],["+","+","+","+","+","+","+"],["+","B-W","+","N","+","N","+"],["+","+","+","+","+","+","+"],["S","N","+","N","+","A-W","+"],["+","+","+","+",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 0\n y: 7\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 4\n y: 8\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"293100f44e836546","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","E"],["+","P-Y-304","+","o-P","G"],["+","+","+","+","S"],["+","*-P","+","N","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":15}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 2\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.2634731726971373,"grid_size":{"height":2,"width":5},"id":"4d7a1a66baaf63ae","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"69904\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","S"],["+","P-P-4368","+","P-P-16","+","N","+","N","+","P-P-272","+"],["+","+","+","+","+","+","+","+","+","+","E"],["+","N","+","N","+","N","+","P-P-69904","+","N","+"],["+",".","+","+","+","+","+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2}],"pathLength":27},{"index":1,"path":[{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":31},{"index":2,"path":[{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 10\n y: 0\n end:\n x: 10\n y: 2\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"purple\"\n - position:\n x: 1\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 69904\n color: \"purple\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"purple\"\n"} {"difficulty_level":4,"difficulty_score":3.7197925224951445,"grid_size":{"height":5,"width":3},"id":"f6b6da2cfd79bf8d","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+"],["+","B-G","+","N","+","o-G","+"],["+","G","+","+","+","+","+"],["+","N","+","o-B","+","N","+"],["S","+","+","+","+","+","+"],["+","N","+","N","+","o-G","+"],["+","+","+","+","+","+","+"],["+","N","+","A-B","+","o-G","+"],["+","+","+","G","+","+","+"],["+","o-G","+","N","+","o-G","+"],["+","+","E","+","+","+","+"]],"solution_count":13,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10}],"pathLength":37},{"index":1,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":2,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":3,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":33},{"index":4,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":5,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":37},{"index":6,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10}],"pathLength":45},{"index":7,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":29},{"index":8,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10}],"pathLength":29},{"index":9,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":29},{"index":10,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":25},{"index":11,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10}],"pathLength":25},{"index":12,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 0\n y: 4\n end:\n x: 2\n y: 10\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 3\n y: 8\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"square\"\n color: \"green\"\n"} {"difficulty_level":2,"difficulty_score":1.1568457111547232,"grid_size":{"height":2,"width":5},"id":"f92812f4de72ff65","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","G","+","+","+","+","+"],["G","*-G","+","N","+","N","+","N","+","N","E"],["+","+",".","G","+","+","+","+",".","+","S"],["+","A-G","+","N","+","N","+","N","+","N","+"],["+","G",".","+",".","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1}],"pathLength":28},{"index":1,"path":[{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 10\n y: 2\n end:\n x: 10\n y: 1\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"6309fe9234408d09","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","E"],["+","P-R-272","+","o-B","+"],["+","+","+","+","+"],["+","o-R","+","P-G-272","+"],["+","+","+","S","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":12},{"index":1,"path":[{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":14}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 3\n y: 4\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"red\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"green\"\n"} {"difficulty_level":5,"difficulty_score":4.779040191790538,"grid_size":{"height":4,"width":5},"id":"fcddbcaebe33803e","polyshapes":"{\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["+","P-K-240","+","P-R-48","+","*-R","+","o-Y","+","N","G"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-R","+","N","+","A-O","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","o-Y","+","N","+","N","+","N","G"],["+","+","+","+","+","+","+","+","+","+","S"],["+","o-Y","+","N","+","N","+","N","+","N","E"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7}],"pathLength":36},{"index":1,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7}],"pathLength":36},{"index":2,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7}],"pathLength":32},{"index":3,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7}],"pathLength":36},{"index":4,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7}],"pathLength":32},{"index":5,"path":[{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7}],"pathLength":36}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 10\n y: 6\n end:\n x: 10\n y: 7\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"black\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 10\n y: 1\n properties:\n gap: 1\n - position:\n x: 10\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.5688378294433,"grid_size":{"height":6,"width":3},"id":"51464a9c8a314377","polyshapes":"{\"12560\":[[0,1,1,1],[0,0,0,1],[0,0,0,0],[0,0,0,0]],\"29760\":[[0,0,0,1],[0,0,0,1],[0,1,1,1],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","E","+"],["+","P-P-8992","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","o-B","+","N","+","*-K","+"],["+","+","+","+","+","+","+"],["+","o-B","+","P-K-29760","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","G","N","+"],["+","+","+","+","+","G","+"],["+","N","+","N","+","o-B","+"],["+","+","+","+","+","+","+"],["+","P-B-12560","+","o-B","+","P-Y-784","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":40}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 0\n y: 0\n end:\n x: 5\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"poly\"\n polyshape: 12560\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 29760\n color: \"black\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 4\n y: 7\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 5\n y: 8\n properties:\n gap: 1\n - position:\n x: 5\n y: 9\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"yellow\"\n"} {"difficulty_level":1,"difficulty_score":0.7615628070977487,"grid_size":{"height":3,"width":2},"id":"a4bf7550aba66cda","polyshapes":"{\"1648\":[[0,1,0,0],[0,1,1,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[[".","+","+","+","+"],["+","N","+","N","G"],["+","+",".","+","E"],["+","N","+","P-R-1648","+"],["+","+","+","+","S"],["+","o-R","+","N","+"],["+","+",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 4\n end:\n x: 4\n y: 2\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1648\n color: \"red\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.3261094065804944,"grid_size":{"height":4,"width":3},"id":"a022c119975a7c52","polyshapes":"{}","puzzle_array":[["+","+","+","S","+","+","+"],["+","o-B","+","N","+","A-O","+"],["+","+","+","+","+","+","+"],["+","N","+","*-O","G","N","G"],["+","+","+","G","+","+","+"],["+","N","+","N","+","N","G"],["+","+","+","+",".","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","E","+"]],"solution_count":30,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":29},{"index":1,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":21},{"index":2,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8}],"pathLength":19},{"index":3,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":25},{"index":4,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":21},{"index":5,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8}],"pathLength":19},{"index":6,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":25},{"index":7,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":25},{"index":8,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":25},{"index":9,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8}],"pathLength":23},{"index":10,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":33},{"index":11,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":25},{"index":12,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8}],"pathLength":23},{"index":13,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":29},{"index":14,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":25},{"index":15,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8}],"pathLength":23},{"index":16,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":29},{"index":17,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":29},{"index":18,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":29},{"index":19,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8}],"pathLength":27},{"index":20,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":21},{"index":21,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8}],"pathLength":19},{"index":22,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":25},{"index":23,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":25},{"index":24,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":25},{"index":25,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8}],"pathLength":23},{"index":26,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":25},{"index":27,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":17},{"index":28,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8}],"pathLength":15},{"index":29,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 3\n y: 0\n end:\n x: 5\n y: 8\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 6\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.4716188392703644,"grid_size":{"height":2,"width":5},"id":"1a068875a3e6faef","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","S"],["+","N","+","N","+","o-K","+","N","+","N","+"],["E","+","+","+","+","+","+","+","+","+","+"],["+","o-K","+","N","+","P-K-816","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":13,"solutions":[{"index":0,"path":[{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":21},{"index":1,"path":[{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":29},{"index":2,"path":[{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":21},{"index":3,"path":[{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":21},{"index":4,"path":[{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":25},{"index":5,"path":[{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":25},{"index":6,"path":[{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":25},{"index":7,"path":[{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":25},{"index":8,"path":[{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":25},{"index":9,"path":[{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":25},{"index":10,"path":[{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":25},{"index":11,"path":[{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":29},{"index":12,"path":[{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 10\n y: 0\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"black\"\n"} {"difficulty_level":4,"difficulty_score":3.284789124481342,"grid_size":{"height":5,"width":2},"id":"4fe157e88b75d1c6","polyshapes":"{\"1840\":[[0,1,1,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","E","+"],["+","N","+","B-B","+"],["+","+","+","+","+"],["G","N","+","P-K-272","+"],["+","+","+","+","+"],["+","o-K","+","A-K","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["S","D-K","+","P-B-1840","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 9\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"triangle\"\n count: 4\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"black\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 1840\n color: \"blue\"\n"} {"difficulty_level":4,"difficulty_score":3.0747041653866587,"grid_size":{"height":3,"width":4},"id":"39e018c085e923c6","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"1856\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","S","+","+","+","+","+"],["+","B-Y","+","N","+","P-Y-1856","+","N","+"],["+","+","+","+","+","+","+","+","."],["+","A-W","+","o-Y","+","N","G","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-Y-112","+","N","+"],["+","+","+","+","E",".","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 3\n y: 0\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1856\n color: \"yellow\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"yellow\"\n - position:\n x: 5\n y: 6\n properties:\n dot: 1\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.6186286874773463,"grid_size":{"height":2,"width":3},"id":"f8e018c187532e55","polyshapes":"{}","puzzle_array":[["+","G","+","+","+","+","+"],["G","o-P","+","o-K","+","o-K","E"],["+","+","+","+","+","+","+"],["+","N","+","N","+","*-K","S"],["+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":21},{"index":1,"path":[{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 6\n y: 3\n end:\n x: 6\n y: 1\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n"} {"difficulty_level":3,"difficulty_score":2.722851210564326,"grid_size":{"height":3,"width":2},"id":"209102523fe9cb33","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","o-K","+","A-K","+"],["+","+","+","+","+"],["+","o-K","+","o-K","+"],["+","+","+","+","E"],["+","o-K","+","o-K","+"],["+","+","S","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":13},{"index":1,"path":[{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":13},{"index":2,"path":[{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":17},{"index":3,"path":[{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":13},{"index":4,"path":[{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":9}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 2\n y: 6\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n"} {"difficulty_level":3,"difficulty_score":2.0644562175665646,"grid_size":{"height":2,"width":4},"id":"1a54d6e78eb31f57","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","o-O","+","B-O","+","N","+","o-O","G"],["S","+","+","+","+","+","+","+","+"],["+","o-O","+","A-O","+","N","+","N","+"],["E","+","+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":23},{"index":1,"path":[{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":19},{"index":2,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":23},{"index":3,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 0\n y: 2\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.9744825032693516,"grid_size":{"height":2,"width":6},"id":"9725866ac2281eec","polyshapes":"{\"12848\":[[0,1,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","G","+","+","+","+","+"],["+","o-K","+","P-R-16","+","P-K-12848","+","o-O","+","P-O-784","+","o-K","+"],["E","+","+","+","+","+","+","+","+","+","+","+","+"],["+","o-K","+","o-K","+","N","+","P-O-560","+","N","+","o-K","+"],["+","+","+","+","+","G","+","+","+","+","+","+","S"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":12,"y":4},{"x":12,"y":3},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":31},{"index":1,"path":[{"x":12,"y":4},{"x":12,"y":3},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 12\n y: 4\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12848\n color: \"black\"\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"orange\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"orange\"\n - position:\n x: 11\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":4,"width":3},"id":"6bd50bbc57f0da07","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"1856\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+",".","S","+","+","+","+"],["+","N","+","P-Y-4368","+","N","E"],["+","+","+","+","+","+","+"],["G","o-P","+","N",".","N","+"],["+","+",".","+","+","+","+"],["+","N","+","N","+","P-Y-112","G"],["+","+","+","+",".","+","+"],["+","P-Y-1856","+","N","+","N","+"],[".","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 2\n y: 0\n end:\n x: 6\n y: 1\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 0\n y: 8\n properties:\n dot: 1\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 1856\n color: \"yellow\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"yellow\"\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"yellow\"\n - position:\n x: 6\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.7134671280606637,"grid_size":{"height":3,"width":3},"id":"dee9e7fb15309f84","polyshapes":"{\"25136\":[[0,1,0,0],[0,1,1,1],[0,0,0,1],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","E"],["+","P-G-25136","+","N","+","P-G-272","+"],["+","+","+","+","+","+","+"],["+","A-R","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-R-272","+","N","+"],["S","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":25},{"index":1,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":17},{"index":2,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":13},{"index":3,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 6\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 25136\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"red\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"green\"\n"} {"difficulty_level":4,"difficulty_score":3.4839323553268073,"grid_size":{"height":3,"width":5},"id":"86902220d12d703f","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","E","+","+","+","+"],["+","N","+","N","+","A-B","+","B-B","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","G","N","+","o-Y","+","N","+","N","+"],["S","+","+","+","+","+","+","+","+","+","+"],["+","o-B","+","N","+","P-B-304","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0}],"pathLength":35},{"index":1,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 0\n y: 4\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"blue\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n"} {"difficulty_level":1,"difficulty_score":0.287075054550843,"grid_size":{"height":2,"width":3},"id":"4eb57609ef1ee631","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","E","+","+","G","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","G","P-R-800","+"],["+","+","+","+","+","+","S"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0}],"pathLength":13}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 6\n y: 4\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"red\"\n"} {"difficulty_level":4,"difficulty_score":3.442249104222581,"grid_size":{"height":6,"width":3},"id":"2f79e45518965eb9","polyshapes":"{\"12560\":[[0,1,1,1],[0,0,0,1],[0,0,0,0],[0,0,0,0]],\"8752\":[[0,1,0,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","E","+","+"],["+","P-K-12560","+","o-P","+","N","+"],["+","+","+",".","+","+","+"],["+","N","+","o-K","+","N","."],["+","+","+","+","+","+","+"],["+","N","+","N","+","o-K","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","P-K-8752","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","S"]],"solution_count":7,"solutions":[{"index":0,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":43},{"index":1,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":47},{"index":2,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":47},{"index":3,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":47},{"index":4,"path":[{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":47},{"index":5,"path":[{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":35},{"index":6,"path":[{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 6\n y: 12\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12560\n color: \"black\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 8752\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 6\n y: 3\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.7304549840305508,"grid_size":{"height":4,"width":2},"id":"56d5533533454616","polyshapes":"{\"3872\":[[0,0,1,0],[0,1,1,0],[0,0,1,0],[0,0,1,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["S","o-O","+","P-K-3872","+"],["+","+","+","+","+"],["+","o-O","+","o-O","+"],["+","+","+","+","+"],["+","B-O","+","A-K","+"],["+","+","+","+","E"],["+","P-K-48","+","N","+"],["+","+","+",".","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 0\n y: 1\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 3872\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 8\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.632155230403906,"grid_size":{"height":4,"width":6},"id":"49e1d44abd319766","polyshapes":"{\"1584\":[[0,1,0,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"78368\":[[0,0,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","S","G","+","+","+","+","+","+","+"],["+","N","+","P-R-1584","+","N","+","o-R","+","N","+","P-Y-272","+"],["+","+","+","+","+","+","+","G","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+","o-R","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","o-W","+","N","+","N","+","N","+","P-R-304","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","o-R","+","P-R-78368","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":53},{"index":1,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":49},{"index":2,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":49},{"index":3,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":10,"y":7},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":57},{"index":4,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":10,"y":7},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":53}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 4\n start:\n x: 4\n y: 0\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1584\n color: \"red\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 78368\n color: \"red\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 2\n properties:\n gap: 1\n - position:\n x: 9\n y: 5\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"red\"\n - position:\n x: 11\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"yellow\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n"} {"difficulty_level":1,"difficulty_score":0.21396079080619634,"grid_size":{"height":2,"width":2},"id":"b4236ee204ca4ebd","polyshapes":"{}","puzzle_array":[["+",".","+","+","+"],["E","o-R","+","N","+"],["+","+","+","+","S"],["+","N","+","N","+"],[".","+","+",".","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 2\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.025387922398241,"grid_size":{"height":3,"width":3},"id":"bd50007a27ec4c42","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"18192\":[[0,1,1,0],[0,0,1,0],[0,0,1,1],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","E"],["+","*-O","+","o-W","+","P-P-48","+"],["+","+","+","+","+","+","+"],["+","P-G-16","+","P-G-18192","+","N","+"],["+","+","+","+","+","+","+"],["+","o-W","+","P-O-16","+","o-W","+"],["+","+","+","+","S","+","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":21},{"index":1,"path":[{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":29},{"index":2,"path":[{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":17},{"index":3,"path":[{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":25},{"index":4,"path":[{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":13},{"index":5,"path":[{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":9}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 4\n y: 6\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"green\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 18192\n color: \"green\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n"} {"difficulty_level":5,"difficulty_score":4.94949577131723,"grid_size":{"height":4,"width":6},"id":"46e5ace860a947c","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","o-Y","+","N","+","P-R-304","+","*-Y","+","N","+","N","E"],["+","+","+","+",".","+","+","+","+","+","+","+","S"],["+","A-Y","+","o-Y","+","*-Y","+","N","+","A-R","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","A-Y","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","A-R","+","A-Y","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":28,"solutions":[{"index":0,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":48},{"index":1,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":44},{"index":2,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":3,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":4,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":5,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":6,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":48},{"index":7,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":8,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":9,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":10,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":48},{"index":11,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":12,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":48},{"index":13,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":56},{"index":14,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":15,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":16,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":17,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":48},{"index":18,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":19,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":48},{"index":20,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":56},{"index":21,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52},{"index":22,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":48},{"index":23,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":56},{"index":24,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":56},{"index":25,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":56},{"index":26,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":56},{"index":27,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1}],"pathLength":52}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 4\n start:\n x: 12\n y: 2\n end:\n x: 12\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 9\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 11\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n"} {"difficulty_level":3,"difficulty_score":2.8725257447679597,"grid_size":{"height":2,"width":5},"id":"65de230f331a4c45","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+",".","+","+","+"],["+","o-G","+","N","+","N","+","o-G","+","N","+"],["+","+","+","+","+","+","+","+","+","+","E"],["+","N","+","o-G","+","N","+","*-G","+","B-G","+"],["S","+","+","+","+","+","+","+","+","+","+"]],"solution_count":16,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":33},{"index":1,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":29},{"index":2,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":25},{"index":3,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":33},{"index":4,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":29},{"index":5,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":25},{"index":6,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":29},{"index":7,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":25},{"index":8,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":25},{"index":9,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":29},{"index":10,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":25},{"index":11,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":29},{"index":12,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":29},{"index":13,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":25},{"index":14,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":29},{"index":15,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2}],"pathLength":33}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 10\n y: 2\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 7\n y: 0\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n"} {"difficulty_level":1,"difficulty_score":0.4586550246401705,"grid_size":{"height":3,"width":2},"id":"208cf4346af75ddb","polyshapes":"{}","puzzle_array":[["+","+",".","+","+"],[".","N","+","N","+"],["+","+","+","+","."],["E","N","+","*-O","+"],["S","+",".","+","+"],["+","N","+","*-O","+"],["+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":16},{"index":1,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":20},{"index":2,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":20},{"index":3,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 0\n y: 4\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 0\n y: 1\n properties:\n dot: 1\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.3877540051291066,"grid_size":{"height":2,"width":4},"id":"90fd5c8fc5c892bc","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+","+","+","+","+"],["+","P-W-16","+","N","+","N","+","P-W-16","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","P-G-784","+","P-W-272","+","P-W-16","+"],["+","+","+","+","+","+","+","S","+"]],"solution_count":19,"solutions":[{"index":0,"path":[{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":16},{"index":1,"path":[{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":12},{"index":2,"path":[{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":12},{"index":3,"path":[{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":16},{"index":4,"path":[{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":20},{"index":5,"path":[{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":24},{"index":6,"path":[{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":12},{"index":7,"path":[{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":16},{"index":8,"path":[{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":14},{"index":9,"path":[{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":18},{"index":10,"path":[{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":22},{"index":11,"path":[{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":22},{"index":12,"path":[{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":18},{"index":13,"path":[{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":18},{"index":14,"path":[{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":14},{"index":15,"path":[{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":18},{"index":16,"path":[{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":22},{"index":17,"path":[{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":26},{"index":18,"path":[{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 7\n y: 4\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"green\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"white\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"white\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"white\"\n"} {"difficulty_level":3,"difficulty_score":2.9373908094135674,"grid_size":{"height":3,"width":3},"id":"451e601ab40d68ce","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+"],["+","o-R","+","o-R","+","*-O","+"],["+","+","+","+","+","+","+"],["+","o-R","+","*-O","+","N","+"],["S","+","+","+","+","+","+"],["+","*-R","+","*-R","+","N","+"],["E","+","+","+","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":15},{"index":1,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":19},{"index":2,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":11},{"index":3,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":23},{"index":4,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 4\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n"} {"difficulty_level":2,"difficulty_score":1.4716188392703644,"grid_size":{"height":5,"width":2},"id":"c57d2afd719e3f0a","polyshapes":"{}","puzzle_array":[["+","G","+","+","E"],["+","N","G","N","+"],["+",".","+","+","+"],["+","o-W","+","N","+"],["+","+","+","+","+"],["+","N","+","A-W","+"],["+","+","+","+","+"],["+","N","+","N","."],["+","+","+","+","+"],["+","A-W","+","N","+"],["+","+","+","S","."]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 3\n y: 10\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 4\n y: 7\n properties:\n dot: 1\n - position:\n x: 4\n y: 10\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.6186286874773463,"grid_size":{"height":3,"width":2},"id":"788033d48bdb93a4","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["S","P-O-16","+","A-Y","+"],["+","+","+","+","+"],["+","N","+","N","E"],["+","+","+","+","+"],["+","P-O-864","+","P-O-16","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":19},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 0\n y: 1\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n"} {"difficulty_level":2,"difficulty_score":1.7134671280606637,"grid_size":{"height":3,"width":3},"id":"1ea856e2b1a1fe37","polyshapes":"{\"368\":[[0,1,1,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","S","+","+","+"],["+","N","+","N","+","*-W","+"],["+","+","+","+","+","G","+"],["+","*-B","+","N","G","*-W","+"],["+","+",".","G","+","+","+"],["+","P-B-368","+","N","+","N","+"],["+","+","+","E","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6}],"pathLength":31},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6}],"pathLength":31},{"index":2,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 3\n y: 0\n end:\n x: 3\n y: 6\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 368\n color: \"blue\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 5\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n"} {"difficulty_level":1,"difficulty_score":0.05528195095328203,"grid_size":{"height":2,"width":2},"id":"ce2b4e5ce355a816","polyshapes":"{}","puzzle_array":[["+","+","+","+","E"],["+","N","+","N","G"],["+","+","+","+","+"],["+","N","G","N","G"],["+","+","S","G","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":11},{"index":1,"path":[{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 2\n y: 4\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.392914198470513,"grid_size":{"height":3,"width":5},"id":"a8367944d1ed9ac","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["S","D-O","+","A-O","+","o-B","+","o-Y","+","A-G","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","G","A-G","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","o-Y","+","N","+","*-R","+","*-R","+"],["+","+","+","+","+","E","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6}],"pathLength":35},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6}],"pathLength":39}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 0\n y: 1\n end:\n x: 5\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n"} {"difficulty_level":2,"difficulty_score":1.1568457111547232,"grid_size":{"height":2,"width":5},"id":"afa4e2bcc5412771","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","S","+","+"],["+","A-Y","+","N","+","N","+","N","+","N","G"],["E","+","+","+","+","+","+","G","+","+","+"],["+","o-Y","+","N","+","N","+","N","+","N","+"],["+","+","+","G","+","+","+","+","+","+","+"]],"solution_count":20,"solutions":[{"index":0,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":15},{"index":1,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":11},{"index":2,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":11},{"index":3,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":19},{"index":4,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":15},{"index":5,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":23},{"index":6,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":19},{"index":7,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":31},{"index":8,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":27},{"index":9,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":19},{"index":10,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":27},{"index":11,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":27},{"index":12,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":23},{"index":13,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":15},{"index":14,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":27},{"index":15,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":23},{"index":16,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":15},{"index":17,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":23},{"index":18,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2}],"pathLength":23},{"index":19,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 8\n y: 0\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 7\n y: 2\n properties:\n gap: 1\n - position:\n x: 10\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.7504433904617838,"grid_size":{"height":2,"width":2},"id":"fe0ba1ad7aff48c5","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","S","+","+"],["+","o-P","+","P-P-816","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","G","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":3}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 2\n y: 0\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"purple\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.2884364796340195,"grid_size":{"height":4,"width":2},"id":"e776bbdf9faf8a36","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","+"],["+","G","+","+","+"],["+","N","+","D-B","E"],["+","+","+",".","+"],["+","*-B","+","A-O","+"],["+","+","+","+","+"],["G","N","+","o-B","+"],["S","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 0\n y: 8\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 4\n color: \"blue\"\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"blue\"\n"} {"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":2,"width":3},"id":"1b3d9f4f52d85b56","polyshapes":"{\"12832\":[[0,0,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","E","+","+","+","+"],["+","N","+","N","+","N","+"],[".","+","+",".","+","+","+"],["+","A-K","+","A-Y","+","P-G-12832","+"],["+","+","+","+","+","+","S"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 6\n y: 4\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 12832\n color: \"green\"\n"} {"difficulty_level":5,"difficulty_score":4.602149849374303,"grid_size":{"height":4,"width":5},"id":"b142fbbeb41041b7","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","E","+","S","+","+","+","+","+"],["+","N","+","P-R-112","+","N","G","N","+","A-R","+"],["+","+","+","G","+","+","+","+","+","G","+"],["+","o-P","+","N","+","N","+","N","+","P-R-864","G"],["+","+","+","+",".","+","+","+","+","+","+"],[".","N","+","*-R","+","N","+","N",".","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","*-P","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":10,"y":7},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":57}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 5\n y: 0\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"red\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n - position:\n x: 7\n y: 7\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 8\n y: 5\n properties:\n dot: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 9\n y: 2\n properties:\n gap: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"red\"\n - position:\n x: 10\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.4683504091458353,"grid_size":{"height":3,"width":4},"id":"5f53135de8b1954a","polyshapes":"{\"1136\":[[0,1,0,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+",".","+","+","+","+","+"],["+","N","+","N","+","N",".","N","+"],["+","G","+","+","+","+","+","G","+"],["+","P-Y-1136","+","N","+","N","+","N","+"],["+","+","+","+","+","G","+","+","+"],["+","N","+","o-Y","+","N","+","N","E"],["+","+","+","+","+","+","+","+","S"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5}],"pathLength":24},{"index":1,"path":[{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 8\n y: 6\n end:\n x: 8\n y: 5\n cells:\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1136\n color: \"yellow\"\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 6\n y: 1\n properties:\n dot: 1\n - position:\n x: 7\n y: 2\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.954378055449624,"grid_size":{"height":4,"width":6},"id":"62c72bfb2683d204","polyshapes":"{\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","+","+","+","+","+","+","+","."],["+","A-B","+","N","+","*-O","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],[".","N","+","N","+","N","+","N","+","P-O-304","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","o-P","+","A-O","+","N","+","N","+","Y-W-18","+"],["+","+","+","G","+","+","+","+","+","+","+","+","+"],["+","o-P","+","N","+","N","+","N","+","N","+","P-O-816","+"],["+","+","+","+","+","+","+","+","+","+","+","+","E"]],"solution_count":13,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":45},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":53},{"index":2,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":53},{"index":3,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":49},{"index":4,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":49},{"index":5,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":49},{"index":6,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":49},{"index":7,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":53},{"index":8,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":49},{"index":9,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":49},{"index":10,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":53},{"index":11,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":49},{"index":12,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8}],"pathLength":53}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 4\n start:\n x: 0\n y: 0\n end:\n x: 12\n y: 8\n cells:\n - position:\n x: 0\n y: 3\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"orange\"\n - position:\n x: 11\n y: 5\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"white\"\n - position:\n x: 11\n y: 7\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"orange\"\n - position:\n x: 12\n y: 0\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.287075054550843,"grid_size":{"height":2,"width":3},"id":"6f9050409662ade1","polyshapes":"{}","puzzle_array":[["E","+","+","+","+",".","+"],["+","N","+","B-W","+","N","+"],["S","+",".","+","+","+","."],["+","N","+","N","+","N","+"],["+",".","+","+","+","G","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 2\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 4\n properties:\n dot: 1\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.34497013028262,"grid_size":{"height":2,"width":3},"id":"5ad45782c4d247fd","polyshapes":"{}","puzzle_array":[["S","+","+","E","+","+","+"],["+","o-G","+","*-G","+","o-G","+"],["+","+","+","+","+","+","+"],["+","N","+","B-Y","+","N","G"],["+","+","+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":22},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":14},{"index":2,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":14}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.2483607303046271,"grid_size":{"height":4,"width":2},"id":"ad84c6fc0204a477","polyshapes":"{}","puzzle_array":[["E","+",".","+","S"],["+","N","+","o-G","G"],["+","+","+","+","."],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","A-G","+"],["+","+","+","+","."],["G","o-G","+","N","+"],["+","+","+",".","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 0\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 3\n y: 8\n properties:\n dot: 1\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.006745425104734,"grid_size":{"height":5,"width":2},"id":"6f26802c8e80c94b","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"1856\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"496\":[[0,1,1,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","P-B-496","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["E","+","+","+","+"],["+","N","+","P-B-1856","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","P-Y-16","+","N","+"],["S","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4}],"pathLength":27},{"index":1,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":23},{"index":2,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":23},{"index":3,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4}],"pathLength":7}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 10\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 496\n color: \"blue\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1856\n color: \"blue\"\n"} {"difficulty_level":3,"difficulty_score":2.4394488044663394,"grid_size":{"height":3,"width":4},"id":"2a959752e36b0310","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"70416\":[[0,1,1,1],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+","+","+","+","+"],["+","N","+","P-R-4368","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-R","+","*-R","+"],["+","+","+","+","+","+","+","+","+"],["+","P-R-48","+","N","+","N","+","P-R-70416","+"],["E","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6}],"pathLength":27},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"poly\"\n polyshape: 70416\n color: \"red\"\n"} {"difficulty_level":1,"difficulty_score":0.5872255773673829,"grid_size":{"height":4,"width":2},"id":"8ce6a69f4a2bf7f8","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[[".","+","+","+","+"],["+","N","+","N","+"],["S","+","+","+","."],["+","P-P-304","+","N","+"],["+","+","+","+","+"],["+","N","G","P-P-816","."],["+","+","+","+","+"],["G","N","+","N","E"],["+","+",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 0\n y: 2\n end:\n x: 4\n y: 7\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"purple\"\n - position:\n x: 2\n y: 5\n properties:\n gap: 1\n - position:\n x: 2\n y: 8\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"purple\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 4\n y: 5\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.21396079080619634,"grid_size":{"height":2,"width":2},"id":"a388bae91e3687fc","polyshapes":"{}","puzzle_array":[["+","+","+",".","+"],["+","N","+","N","+"],["+","+",".","+","+"],["+","o-W","+","N","."],["+","+","E","+","S"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4}],"pathLength":15},{"index":1,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4}],"pathLength":15},{"index":2,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 4\n end:\n x: 2\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.42081001825693576,"grid_size":{"height":2,"width":2},"id":"52a0c371bcb62cb9","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["G","N",".","o-K","+"],["+","+","+","+","+"],["+","N","+","o-K","+"],["+","S","+","+","E"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":14},{"index":1,"path":[{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4}],"pathLength":12}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 1\n y: 4\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n"} {"difficulty_level":1,"difficulty_score":0.7504433904617838,"grid_size":{"height":2,"width":2},"id":"307a49ad7e092e92","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","E"],["+","N","+","P-K-304","+"],["+","+","+","+","+"],["+","N","+","o-K","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":13}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n"} {"difficulty_level":4,"difficulty_score":3.3264514778601093,"grid_size":{"height":5,"width":2},"id":"a75d02e340d80895","polyshapes":"{\"1584\":[[0,1,0,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+","+","+"],["+","o-O","+","o-O","+"],["+","+","+","+","+"],["+","P-G-1584","+","o-O","G"],["+","+","+","+","+"],["+","o-W","+","N","+"],["+","+","+","G","+"],["+","o-R","+","N","+"],["+","+","+","+","+"],["+","P-K-560","+","o-R","+"],["+","+","+","+","E"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 0\n end:\n x: 4\n y: 10\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1584\n color: \"green\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":3,"width":4},"id":"dfc4068c3d885844","polyshapes":"{}","puzzle_array":[["S","+","+","+","+",".","+","+","+"],["+","N","+","o-K","+","N","G","o-K","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","B-G","+","N","+"],["+","+","+","+",".","+","+","+","+"],["+","o-P","+","N","G","N","+","N","+"],["+","+","E","+","+","+","+","+","+"]],"solution_count":16,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6}],"pathLength":37},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6}],"pathLength":33},{"index":2,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":25},{"index":3,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":29},{"index":4,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":25},{"index":5,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":29},{"index":6,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6}],"pathLength":29},{"index":7,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":29},{"index":8,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":29},{"index":9,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6}],"pathLength":33},{"index":10,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":33},{"index":11,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":33},{"index":12,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":29},{"index":13,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":29},{"index":14,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":29},{"index":15,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 0\n y: 0\n end:\n x: 2\n y: 6\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n"} {"difficulty_level":4,"difficulty_score":3.0747041653866587,"grid_size":{"height":2,"width":6},"id":"8ab3bd25684da05b","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+","+","+","+","+","G","+","+","+"],["+","N","+","N","+","N","+","A-O","+","*-B",".","D-O","S"],["+","+","+","+","+","G","+","+","+","G","+","+","+"],["+","N","+","N","+","P-B-816","+","*-B","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 12\n y: 1\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 5\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"blue\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 9\n y: 0\n properties:\n gap: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 9\n y: 2\n properties:\n gap: 1\n - position:\n x: 10\n y: 1\n properties:\n dot: 1\n - position:\n x: 11\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"orange\"\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":2,"width":6},"id":"14cfe9b24820e86d","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"9008\":[[0,1,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","S","+","+"],["+","P-R-560","+","N","+","P-R-9008","+","N","+","N","+","*-K","+"],["+","+",".","+","+","+","+","+",".","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+","*-K","+"],["E","+","+","+","+","+","+","+","+","+","+","+","."]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 10\n y: 0\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"red\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 9008\n color: \"red\"\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n - position:\n x: 11\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 12\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.1572662137465404,"grid_size":{"height":3,"width":2},"id":"44be3c34e106de01","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","E"],["+","*-O","+","P-O-16","+"],["+","+","+","+","+"],["+","P-Y-560","+","*-O","+"],["+","+","+","+","+"],["+","P-O-272","+","N","+"],["+","S","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":16},{"index":1,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 1\n y: 6\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"yellow\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n"} {"difficulty_level":3,"difficulty_score":2.7040345767618685,"grid_size":{"height":4,"width":3},"id":"6515cfe93ce509e","polyshapes":"{\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]],\"496\":[[0,1,1,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","o-R","+"],["+","G","+","+","+","+","+"],["+","P-R-496",".","N","+","P-K-240","+"],["+","+","+","+","+","+","+"],["+","A-R","+","N","+","N","+"],["+","+","+","S","+","+","E"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8}],"pathLength":18}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 3\n y: 8\n end:\n x: 6\n y: 8\n cells:\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 496\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 2\n y: 5\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"black\"\n"} {"difficulty_level":5,"difficulty_score":4.585021118143553,"grid_size":{"height":5,"width":4},"id":"97a8f474dbded2a7","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","o-B","+","N","+","N","+","N","."],["+","+","+",".","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","A-W","+","A-B","+","N","+"],["+","+","+","+","+","+","+","+","S"],["+","N","+","*-O","+","o-O","+","o-K","+"],["+","+","+","+","+","+","+","+","+"],["E","o-W","+","o-W","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":38,"solutions":[{"index":0,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":48},{"index":1,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":44},{"index":2,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":48},{"index":3,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":44},{"index":4,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":44},{"index":5,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":40},{"index":6,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":44},{"index":7,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":40},{"index":8,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":44},{"index":9,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":40},{"index":10,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":44},{"index":11,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9}],"pathLength":40},{"index":12,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46},{"index":13,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46},{"index":14,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46},{"index":15,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":42},{"index":16,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":42},{"index":17,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46},{"index":18,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":42},{"index":19,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":42},{"index":20,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46},{"index":21,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46},{"index":22,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46},{"index":23,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":42},{"index":24,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":42},{"index":25,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":50},{"index":26,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":50},{"index":27,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":50},{"index":28,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46},{"index":29,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46},{"index":30,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":50},{"index":31,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46},{"index":32,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46},{"index":33,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":50},{"index":34,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":50},{"index":35,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":50},{"index":36,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46},{"index":37,"path":[{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9}],"pathLength":46}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 8\n y: 6\n end:\n x: 0\n y: 9\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 8\n y: 1\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.0644562175665646,"grid_size":{"height":4,"width":2},"id":"723c768ba214cf52","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"1824\":[[0,0,1,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","G","+","E","+"],["+","P-B-16","+","P-R-1824","G"],["+","+","+","+","S"],["+","N","+","P-R-16","+"],["+","+","+","+","+"],["+","P-W-48","+","N","+"],["+","+","+","+","+"],["G","A-K","+","N","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 2\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"blue\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1824\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.993254574895266,"grid_size":{"height":2,"width":5},"id":"45119a0d8ec60ee4","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"8976\":[[0,1,1,0],[0,0,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","E","+","+"],["+","o-P","+","P-K-16","+","N","+","P-K-4368","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","*-W","+","P-W-272","+","*-O","+","*-P","+","P-O-8976","+"],["+","+","+","+","+","+","+","+","+","+","S"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":23},{"index":1,"path":[{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":31},{"index":2,"path":[{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":15},{"index":3,"path":[{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0}],"pathLength":7}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 10\n y: 4\n end:\n x: 8\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"white\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"black\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8976\n color: \"orange\"\n"} {"difficulty_level":4,"difficulty_score":3.187890113166176,"grid_size":{"height":5,"width":3},"id":"f10cb5a22d358c0e","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"29216\":[[0,0,0,1],[0,1,1,1],[0,0,0,1],[0,0,0,0]]}","puzzle_array":[["+","+","E","+","+","+","+"],["+","P-O-272","+","N","+","N","+"],["+",".","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","P-W-29216","+"],["+","+","+","+","+","+","+"],[".","o-G","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","B-K","S"],["+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":38},{"index":1,"path":[{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":42},{"index":2,"path":[{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":40},{"index":3,"path":[{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":40}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 6\n y: 9\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 0\n y: 7\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"orange\"\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 29216\n color: \"white\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n"} {"difficulty_level":1,"difficulty_score":0.5872255773673829,"grid_size":{"height":2,"width":4},"id":"7f0b58b125996cef","polyshapes":"{}","puzzle_array":[["+","+","S","G","+","+","E","+","+"],["+","N","+","o-K","+","o-K","+","N","+"],["+","+","+",".","+","+",".","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":18,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0}],"pathLength":17},{"index":1,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":13},{"index":2,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0}],"pathLength":21},{"index":3,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":21},{"index":4,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0}],"pathLength":21},{"index":5,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":17},{"index":6,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0}],"pathLength":21},{"index":7,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":17},{"index":8,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0}],"pathLength":25},{"index":9,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":25},{"index":10,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0}],"pathLength":25},{"index":11,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":21},{"index":12,"path":[{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0}],"pathLength":13},{"index":13,"path":[{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":9},{"index":14,"path":[{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0}],"pathLength":17},{"index":15,"path":[{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":17},{"index":16,"path":[{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0}],"pathLength":17},{"index":17,"path":[{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":13}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 2\n y: 0\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 6\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.3574346969605284,"grid_size":{"height":4,"width":4},"id":"d891fc0de00c39ae","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","G","+","G","+"],["+","N","+","N","+","A-K","+","o-K","G"],["+","+","+","+","+","+","+","+","+"],["+","N","G","N","+","N","+","N","."],["+","+",".","+","+","+","+","+","+"],["+","N","+","N","+","o-K","+","o-K","+"],["+","+","+","+","+","+","+","+","+"],["G","o-K","+","N","+","N","+","o-K","+"],["+","+","+",".","E","+","+","+","S"]],"solution_count":36,"solutions":[{"index":0,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":33},{"index":1,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":37},{"index":2,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":33},{"index":3,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":29},{"index":4,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":37},{"index":5,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":33},{"index":6,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":29},{"index":7,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":25},{"index":8,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":37},{"index":9,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":37},{"index":10,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":33},{"index":11,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":29},{"index":12,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":37},{"index":13,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":33},{"index":14,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":29},{"index":15,"path":[{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":25},{"index":16,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":33},{"index":17,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":37},{"index":18,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":33},{"index":19,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":29},{"index":20,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":37},{"index":21,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":33},{"index":22,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":29},{"index":23,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":25},{"index":24,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":33},{"index":25,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":29},{"index":26,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":25},{"index":27,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":37},{"index":28,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":33},{"index":29,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":29},{"index":30,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":25},{"index":31,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":21},{"index":32,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":33},{"index":33,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":33},{"index":34,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":37},{"index":35,"path":[{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8}],"pathLength":37}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 8\n y: 8\n end:\n x: 4\n y: 8\n cells:\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 8\n properties:\n dot: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n - position:\n x: 8\n y: 3\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.4135306388551885,"grid_size":{"height":4,"width":2},"id":"f92885c46014bd68","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["S","N","+","N","+"],["+",".","+","+","+"],["+","o-W","+","N","E"],["+","+","+","+","+"],["+","N","+","N","+"],["+",".","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":11,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":31},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":23},{"index":2,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":23},{"index":3,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":27},{"index":4,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":27},{"index":5,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":19},{"index":6,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":19},{"index":7,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":23},{"index":8,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":17},{"index":9,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":21},{"index":10,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 0\n y: 1\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.287075054550843,"grid_size":{"height":2,"width":3},"id":"d276fc6b3d2511e2","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+",".","+","+","+"],["+","N","+","N","+","N","+"],[".","+","+",".","+","+","+"],["+","P-W-304","+","N","+","N","+"],["S","+","+","E","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 3\n y: 4\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"white\"\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.4135306388551885,"grid_size":{"height":4,"width":2},"id":"fab463aae2041518","polyshapes":"{\"1888\":[[0,0,1,0],[0,1,1,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+",".","E"],["+","N","+","N","+"],[".","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","P-W-1888","+"],["+","+","+","+","+"],["+","N","+","N","S"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":16},{"index":1,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 7\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1888\n color: \"white\"\n"} {"difficulty_level":5,"difficulty_score":4.921355544306343,"grid_size":{"height":5,"width":5},"id":"de3e9c0b4fe6d32e","polyshapes":"{\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"5920\":[[0,0,1,1],[0,1,1,0],[0,0,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","E","+","+","+","+","+","+"],["+","P-Y-240","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","A-Y","+","N","+","N","+","A-P","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N",".","N","+","P-P-48","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","P-P-5920","+","N","G","*-Y","+","*-P","+","o-Y","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","G"],["S","+","+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":43}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 5\n start:\n x: 0\n y: 10\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"yellow\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 5920\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 4\n y: 5\n properties:\n dot: 1\n - position:\n x: 4\n y: 7\n properties:\n gap: 1\n - position:\n x: 5\n y: 7\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"purple\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 9\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 10\n y: 9\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.6357116736429378,"grid_size":{"height":2,"width":4},"id":"c42545022c2f958a","polyshapes":"{}","puzzle_array":[["+","+","+","E","+","+","+","+","+"],["S","*-K","+","*-K","+","o-K","+","N","+"],["+","+","+","+","+","+","+","G","+"],["G","N","+","o-K","+","N","+","N","+"],["+","+","+","+","+","+",".","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":23},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":23},{"index":2,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n - position:\n x: 7\n y: 2\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.7979013261124335,"grid_size":{"height":4,"width":2},"id":"5bd4eba15bbb1174","polyshapes":"{}","puzzle_array":[["S","+","+","+","+"],[".","o-Y","+","*-Y","+"],["+","+","+","+","+"],["+","A-Y","+","N","+"],["+","+","+","+","+"],["+","o-Y","+","N","+"],["+","+","+","+","+"],["+","o-Y","+","N","+"],["E","+","+","+","+"]],"solution_count":7,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":17},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":21},{"index":2,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":17},{"index":3,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":17},{"index":4,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":17},{"index":5,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":17},{"index":6,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 8\n cells:\n - position:\n x: 0\n y: 1\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n"} {"difficulty_level":2,"difficulty_score":1.0472240452167707,"grid_size":{"height":6,"width":2},"id":"77078b45b62cd8dc","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],[".","N","+","N","+"],["+","+","+","G","+"],["E","N","+","N","+"],["+","+",".","+","S"],["+","o-K","+","N","G"],["+","+","+","+","+"],["+","N","+","o-K","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","."],["+","+","+","+","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":42},{"index":1,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":42},{"index":2,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":38},{"index":3,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":38},{"index":4,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":38},{"index":5,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":38},{"index":6,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":38},{"index":7,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":38}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 4\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 0\n y: 1\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n - position:\n x: 4\n y: 11\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.292238591599003,"grid_size":{"height":3,"width":6},"id":"9dd10d6188ee053c","polyshapes":"{\"12592\":[[0,1,1,1],[0,1,0,1],[0,0,0,0],[0,0,0,0]],\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"4880\":[[0,1,1,1],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","S","+","+","+","+"],["+","Y-G-18","+","o-P","+","P-W-12592","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+","o-P","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","P-W-304","+","N","+","P-W-4880","+","N","+","P-P-272","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","E","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6}],"pathLength":52},{"index":1,"path":[{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6}],"pathLength":52},{"index":2,"path":[{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6}],"pathLength":52},{"index":3,"path":[{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6}],"pathLength":52},{"index":4,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6}],"pathLength":52}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 8\n y: 0\n end:\n x: 11\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"green\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12592\n color: \"white\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 4880\n color: \"white\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"purple\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":4,"difficulty_score":3.288275949286329,"grid_size":{"height":2,"width":4},"id":"e6f85b7321c058cc","polyshapes":"{\"12832\":[[0,0,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","o-P","+","N",".","P-R-12832","+","B-R","E"],["+","+","+","+","+","+","+","+","+"],["+","o-P","+","o-P","+","o-P","+","N","+"],[".","S","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 1\n y: 4\n end:\n x: 8\n y: 1\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12832\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n"} {"difficulty_level":4,"difficulty_score":3.730454984030551,"grid_size":{"height":2,"width":3},"id":"15ba4ccf6e2bee00","polyshapes":"{\"8752\":[[0,1,0,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","E"],["+","o-P","+","o-P","+","*-P","+"],["+","+","+","+","+","+","+"],["+","P-W-8752","+","N","+","B-P","+"],["+","+","+","+",".","S","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 5\n y: 4\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8752\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n"} {"difficulty_level":3,"difficulty_score":2.7040345767618685,"grid_size":{"height":6,"width":2},"id":"81b285fa0fa2bafa","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","S","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","o-K","+","o-K","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","P-K-112","+","N","."],["+","+","+","+","+"],["+","N","+","A-K","+"],["+","+","+","+","+"],["G","N","+","N","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 2\n y: 0\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 0\n y: 11\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 4\n y: 7\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.9744825032693516,"grid_size":{"height":4,"width":3},"id":"42bfcaee82187611","polyshapes":"{\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]]}","puzzle_array":[["+","+","+","E","+","+","+"],["+","o-P","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","B-P","+","N","+","*-P","+"],["+","+","+","+","+","+","+"],["+","N","+","o-P","+","o-P","S"],["+","+","+","+","+","+","+"],["+","N","+","N","+","P-Y-240","+"],["+","+","+","+","+","+","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":35},{"index":1,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":35},{"index":2,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":31},{"index":3,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":31},{"index":4,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":31},{"index":5,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":31},{"index":6,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":31},{"index":7,"path":[{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 6\n y: 5\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"yellow\"\n"} {"difficulty_level":4,"difficulty_score":3.5706060127151886,"grid_size":{"height":5,"width":4},"id":"51d09f953078db61","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"78368\":[[0,0,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"8816\":[[0,1,0,0],[0,1,1,1],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-Y-8816","+","N","+"],["S","G","+","+","+","+","+","+","+"],["G","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","."],["+","N","+","N","+","N",".","N","+"],["+","+","+","+","+","+","+","+","+"],["+","o-O","G","N","+","P-Y-78368","+","P-O-16","+"],["+","+","E","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10}],"pathLength":45}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 0\n y: 4\n end:\n x: 2\n y: 10\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 2\n y: 9\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8816\n color: \"yellow\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"poly\"\n polyshape: 78368\n color: \"yellow\"\n - position:\n x: 6\n y: 7\n properties:\n dot: 1\n - position:\n x: 7\n y: 9\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n - position:\n x: 8\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.507378844996003,"grid_size":{"height":3,"width":3},"id":"199107ddf5bc64ff","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","P-B-816","+","A-P","+","o-P","E"],["+","+","+","+","+","+","+"],["+","A-W","+","*-P","+","o-P","+"],["+","+","+","+","+","+","S"],["+","P-R-48","+","N","+","P-Y-4368","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 4\n end:\n x: 6\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"blue\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"yellow\"\n"} {"difficulty_level":5,"difficulty_score":4.864144458599218,"grid_size":{"height":4,"width":6},"id":"437a193bf1a65f04","polyshapes":"{\"114\":[[0,1,0,0],[1,1,0,0],[0,1,0,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"1872\":[[0,1,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]],\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["G","P-G-1872","+","N","+","A-B","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+",".","+"],["+","P-B-240","+","N","+","N","+","N","+","N","+","N","+"],["E","+","+","+","+","+","+","+","+","+","+",".","S"],["+","P-B-16","+","*-B","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],[".","N","+","Y-G-114","+","N","+","A-B","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4}],"pathLength":49},{"index":1,"path":[{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":1},{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4}],"pathLength":49}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 4\n start:\n x: 12\n y: 4\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 0\n y: 7\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1872\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"blue\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"ylop\"\n polyshape: 114\n color: \"green\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 11\n y: 2\n properties:\n dot: 1\n - position:\n x: 11\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.287075054550843,"grid_size":{"height":2,"width":3},"id":"36cb3f329a6ce01d","polyshapes":"{}","puzzle_array":[["+","G","+","+","+","+","+"],["S","N",".","N","+","o-R","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+",".","+","+","E"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 6\n y: 4\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n"} {"difficulty_level":4,"difficulty_score":3.492208804432233,"grid_size":{"height":4,"width":2},"id":"afae70e7d540f75d","polyshapes":"{\"1856\":[[0,0,1,0],[0,0,1,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","o-G","+","N","E"],["+","+","+","+","+"],["+","N","+","*-P","+"],[".","+","+","+","S"],["+","N","+","A-G","+"],["+","+","+","+","+"],["+","*-P","+","P-G-1856","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 4\n end:\n x: 4\n y: 1\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 1856\n color: \"green\"\n"} {"difficulty_level":5,"difficulty_score":4.334605671123483,"grid_size":{"height":5,"width":4},"id":"a59bf17b740b01fd","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"5904\":[[0,1,1,1],[0,0,1,0],[0,0,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","+",".","+","+","+","+","+"],["E","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","P-W-48","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","*-B","+","o-B","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N",".","*-B","+","P-W-5904","+"],["+","+","+","+","+","+","+","+","+"],["+","N",".","N","+","N","G","*-B","+"],["S","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":44},{"index":1,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":48}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 0\n y: 10\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 2\n y: 9\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 4\n y: 7\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 6\n y: 9\n properties:\n gap: 1\n - position:\n x: 7\n y: 7\n properties:\n type: \"poly\"\n polyshape: 5904\n color: \"white\"\n - position:\n x: 7\n y: 9\n properties:\n type: \"star\"\n color: \"blue\"\n"} {"difficulty_level":4,"difficulty_score":3.9459376157847337,"grid_size":{"height":5,"width":3},"id":"51acec8bf877a466","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","E","+"],["+","P-R-16",".","N","+","P-R-16","."],["+","+","+","+","+","+","+"],["+","P-B-8992","+","*-R","+","N","+"],["+","+",".","+","+","+","S"],["+","P-R-16","+","P-K-272",".","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","P-B-48","+"],["+","+","+","+","+","+","+"],["+","P-K-16","+","N","+","P-K-304","+"],["+","+","+","G","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 6\n y: 4\n end:\n x: 5\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"blue\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"black\"\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"black\"\n - position:\n x: 3\n y: 10\n properties:\n gap: 1\n - position:\n x: 4\n y: 5\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"blue\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"black\"\n - position:\n x: 6\n y: 1\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.5966247021154863,"grid_size":{"height":5,"width":2},"id":"9ca09c7a868983eb","polyshapes":"{}","puzzle_array":[["E","S","+","+","+"],["+","N",".","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","o-K",".","N","+"],[".","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],[".","N","+","N","+"],["+","+","+","+","+"]],"solution_count":10,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":32},{"index":1,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":32},{"index":2,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":32},{"index":3,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":28},{"index":4,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":32},{"index":5,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":32},{"index":6,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":28},{"index":7,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":28},{"index":8,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":28},{"index":9,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 1\n y: 0\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 0\n y: 6\n properties:\n dot: 1\n - position:\n x: 0\n y: 9\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 2\n y: 5\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.21396079080619634,"grid_size":{"height":2,"width":2},"id":"d419f8fbaf6fe22","polyshapes":"{}","puzzle_array":[["S","+","+","+","+"],["+","o-G","+","N","G"],["+","+","+","+","+"],["+","N","G","N","G"],["+","+","+","+","E"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":13},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":9}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.779174586086301,"grid_size":{"height":6,"width":2},"id":"ed8737f58ab6b01e","polyshapes":"{\"1584\":[[0,1,0,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"1824\":[[0,0,1,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","E","+"],["+","N","+","P-K-304","G"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","P-R-1824","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","B-R","+","P-R-1584","+"],["+","+","+","+","+"],["S","D-K","+","A-R","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":37},{"index":1,"path":[{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 0\n y: 11\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 9\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"triangle\"\n count: 4\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"black\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1824\n color: \"red\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 1584\n color: \"red\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.309382189598503,"grid_size":{"height":2,"width":2},"id":"3b1efff9d208e60e","polyshapes":"{}","puzzle_array":[["+","+","+","+","S"],["+","A-G","+","N","+"],["+","+","+","+","+"],["E","o-G","+","o-G","+"],["+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":14},{"index":1,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":10},{"index":2,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":8},{"index":3,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":12}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 0\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n"} {"difficulty_level":2,"difficulty_score":1.7748875334504164,"grid_size":{"height":4,"width":3},"id":"60177fc9cf98665a","polyshapes":"{}","puzzle_array":[[".","S","+","+","+","+","+"],["+","D-R","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","G","N","+","N","G"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","o-R","G","N","+","o-R","+"],["E","+","+","+","+","+","+"]],"solution_count":32,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":38},{"index":1,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":34},{"index":2,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":26},{"index":3,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":26},{"index":4,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":34},{"index":5,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":30},{"index":6,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":30},{"index":7,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":34},{"index":8,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":30},{"index":9,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":30},{"index":10,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":34},{"index":11,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":38},{"index":12,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":26},{"index":13,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":30},{"index":14,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":30},{"index":15,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":26},{"index":16,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":34},{"index":17,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":30},{"index":18,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":22},{"index":19,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":22},{"index":20,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":30},{"index":21,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":26},{"index":22,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":26},{"index":23,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":30},{"index":24,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":26},{"index":25,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":26},{"index":26,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":30},{"index":27,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":34},{"index":28,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":22},{"index":29,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8}],"pathLength":26},{"index":30,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":26},{"index":31,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 1\n y: 0\n end:\n x: 0\n y: 8\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 2\n y: 7\n properties:\n gap: 1\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.4586550246401705,"grid_size":{"height":3,"width":2},"id":"bad1eb90a6a08dc","polyshapes":"{}","puzzle_array":[["+","E","+","+","+"],[".","D-B","+","N","+"],["+","+",".","+","+"],["+","N","G","N","."],["S","+","+","+","+"],["+","B-B","+","N","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":22},{"index":1,"path":[{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 0\n y: 4\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 0\n y: 1\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"blue\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.579464623001977,"grid_size":{"height":5,"width":2},"id":"88575fccc666f7e9","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"50\":[[0,1,0,0],[1,1,0,0],[0,0,0,0],[0,0,0,0]],\"624\":[[0,1,0,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","S"],["+","N","+","P-R-112","G"],["+","+","+","+","+"],["+","P-R-624","+","N","G"],["+","+","+","+","+"],["+","Y-P-50","+","P-K-16","G"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","P-R-16","+","P-P-784","+"],["E","+","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10}],"pathLength":19},{"index":1,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":23},{"index":2,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10}],"pathLength":27},{"index":3,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10}],"pathLength":19},{"index":4,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10}],"pathLength":15}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 4\n y: 0\n end:\n x: 0\n y: 10\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 624\n color: \"red\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"ylop\"\n polyshape: 50\n color: \"purple\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"black\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"purple\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.4683504091458353,"grid_size":{"height":2,"width":6},"id":"e6d6869b96602d91","polyshapes":"{}","puzzle_array":[["+","+","+","+","+",".","+","+","+","+","+","+","E"],["+","N","+","N","+","N","G","N","G","N","+","o-K","+"],["+","+",".","G","+","+","+","+","+","+","+","+","S"],["+","A-K","+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":16,"solutions":[{"index":0,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":27},{"index":1,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":27},{"index":2,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":27},{"index":3,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":31},{"index":4,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":27},{"index":5,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":31},{"index":6,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":31},{"index":7,"path":[{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":31},{"index":8,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":27},{"index":9,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":31},{"index":10,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":31},{"index":11,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":31},{"index":12,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":31},{"index":13,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":31},{"index":14,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":31},{"index":15,"path":[{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 12\n y: 2\n end:\n x: 12\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n - position:\n x: 11\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n"} {"difficulty_level":1,"difficulty_score":0.49758051559726735,"grid_size":{"height":3,"width":3},"id":"11f8795deb4f8d00","polyshapes":"{}","puzzle_array":[["+","+","+","E",".","+","+"],["+","N","+","N","+","N","+"],["+","+",".","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+",".","+","+","+"],["+","N","+","N","+","B-G","+"],["+","S","+","+","+","+","."]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":29},{"index":1,"path":[{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":33},{"index":2,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":29},{"index":3,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":29},{"index":4,"path":[{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 1\n y: 6\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 4\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n - position:\n x: 6\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.658527920301593,"grid_size":{"height":5,"width":5},"id":"f38d151800d3189a","polyshapes":"{\"140064\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","S","+","+"],["E","N","+","o-W","+","P-P-816","+","N","+","N","+"],["+","G","+","+",".","+","+","+","+","+","+"],["+","N","+","N","+","N","+","Y-P-18","G","N","+"],["+","+",".","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-P-16","+","N","+","P-W-140064","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","G","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","G","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":7,"solutions":[{"index":0,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":36},{"index":1,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":40},{"index":2,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":44},{"index":3,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":9},{"x":10,"y":10},{"x":9,"y":10},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":64},{"index":4,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":60},{"index":5,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":56},{"index":6,"path":[{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":52}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 5\n start:\n x: 8\n y: 0\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 2\n y: 9\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 4\n y: 7\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"purple\"\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n - position:\n x: 9\n y: 5\n properties:\n type: \"poly\"\n polyshape: 140064\n color: \"white\"\n"} {"difficulty_level":1,"difficulty_score":0.7615628070977487,"grid_size":{"height":2,"width":3},"id":"cd651b4721caf15d","polyshapes":"{}","puzzle_array":[["+","+","E","+","+","+","+"],["+","A-Y","+","N","+","N","."],["+","+",".","+","+","+","+"],["+","o-G","+","N","+","N","+"],["+","+","+",".","+","+","S"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0}],"pathLength":21},{"index":1,"path":[{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 6\n y: 4\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 6\n y: 1\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.775618056564669,"grid_size":{"height":4,"width":5},"id":"6eef43a6cfab1403","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","G","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["S","N","+","o-G","+","N","+","P-O-816","G","N","G"],["+","+","+","+","+","+","+","+","+","+","+"],["+","o-G","+","N","+","N","+","o-O","+","N","E"],["+","+","+","+","+","+","+","+","+","+","+"],["+","o-O","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":16,"solutions":[{"index":0,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":41},{"index":1,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":45},{"index":2,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":45},{"index":3,"path":[{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":49},{"index":4,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":43},{"index":5,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":39},{"index":6,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":35},{"index":7,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":43},{"index":8,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":39},{"index":9,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":35},{"index":10,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":47},{"index":11,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":43},{"index":12,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":43},{"index":13,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":47},{"index":14,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":43},{"index":15,"path":[{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5}],"pathLength":39}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 0\n y: 3\n end:\n x: 10\n y: 5\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"orange\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n - position:\n x: 10\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.42081001825693576,"grid_size":{"height":2,"width":2},"id":"a93c03fb9b3377af","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","P-W-48",".","P-W-48","+"],["E","+","+","+","+"],["G","N","+","N","+"],["S","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n"} {"difficulty_level":3,"difficulty_score":2.110753136300275,"grid_size":{"height":3,"width":3},"id":"cff5599c6dd870f0","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"880\":[[0,1,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","+","+","+","+","+"],["+","N","+","P-K-880","+","B-K","+"],["+","+","+","+","+","+","+"],["+","N","+","A-K","+","N","+"],["+","+","+","+","+","+","+"],["+","P-K-112","+","N","+","D-K","E"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5}],"pathLength":31}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 1\n y: 0\n end:\n x: 6\n y: 5\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 880\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 4\n color: \"black\"\n"} {"difficulty_level":1,"difficulty_score":0.6773662170836059,"grid_size":{"height":3,"width":3},"id":"8be533948462dbe","polyshapes":"{\"12832\":[[0,0,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","G","+"],["+","P-P-12832","+","N","G","P-P-4368","+"],["S","+","+",".","+","+","E"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+",".","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 2\n end:\n x: 6\n y: 2\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12832\n color: \"purple\"\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 6\n properties:\n dot: 1\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"purple\"\n"} {"difficulty_level":3,"difficulty_score":2.4394488044663394,"grid_size":{"height":3,"width":4},"id":"81ba60816ec3caf4","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"4400\":[[0,1,1,1],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","G","+"],["+","P-P-112","+","N","+","N","+","P-P-4400","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-P-816","+","Y-P-18","+"],["+","+","+","+","+","+","+","+","+"],["E","N","+","P-P-16","+","N","+","N","+"],["+","+","+","+","+","+","+","+","S"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":16},{"index":1,"path":[{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":16},{"index":2,"path":[{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 8\n y: 6\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"purple\"\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4400\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"purple\"\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"a6aa8422fc61f5fc","polyshapes":"{}","puzzle_array":[["+","+","+","+","S"],["+","o-Y","+","*-Y","+"],["+","+","+","+","+"],["E","*-Y","+","o-Y","+"],["+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":18},{"index":1,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":10},{"index":2,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":8},{"index":3,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 0\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":1,"difficulty_score":0.7615628070977487,"grid_size":{"height":2,"width":3},"id":"483600d86a04ce7e","polyshapes":"{}","puzzle_array":[["+","+","+","S","+","+","+"],["+","A-P","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","o-B","+","N","+"],["+","E","+","+","+","+","+"]],"solution_count":11,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":15},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":19},{"index":2,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":11},{"index":3,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4}],"pathLength":7},{"index":4,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":15},{"index":5,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":19},{"index":6,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":19},{"index":7,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":19},{"index":8,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":11},{"index":9,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":19},{"index":10,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4}],"pathLength":15}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 3\n y: 0\n end:\n x: 1\n y: 4\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n"} {"difficulty_level":5,"difficulty_score":4.09776412125535,"grid_size":{"height":4,"width":4},"id":"3cfa2d64b8faa4bf","polyshapes":"{\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","E","+","+","+","+","S","+"],["+","o-B","+","N","+","o-O","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","A-O","+","N","+","N","+","P-B-560","+"],["+","+","+","+","+","+","+","+","+"],["+","o-B","+","N","+","N","+","o-P","+"],["+","+","+","+","+","+","+","+","+"],["+","P-O-240","+","N","+","N","+","N","+"],["+","+","+",".","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0}],"pathLength":36},{"index":1,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0}],"pathLength":36},{"index":2,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0}],"pathLength":36},{"index":3,"path":[{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0}],"pathLength":40}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 7\n y: 0\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"orange\"\n - position:\n x: 3\n y: 8\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"blue\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":4,"difficulty_score":3.689587979200724,"grid_size":{"height":6,"width":3},"id":"50f54de4937b3599","polyshapes":"{\"752\":[[0,1,0,0],[0,1,1,0],[0,1,0,0],[0,1,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","o-R","+","N","+"],["+","+","+","+","+","+","+"],["+","P-G-752","+","N","+","B-W","E"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+",".","+","+","+","+"],["+","N","+","N","+","A-O","S"],["+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7}],"pathLength":39},{"index":1,"path":[{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7}],"pathLength":43}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 6\n y: 11\n end:\n x: 6\n y: 7\n cells:\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 752\n color: \"green\"\n - position:\n x: 2\n y: 10\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n - position:\n x: 5\n y: 11\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n"} {"difficulty_level":3,"difficulty_score":2.9189033702294975,"grid_size":{"height":5,"width":3},"id":"ba52f869c61f21b5","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"3968\":[[0,0,1,0],[0,0,1,0],[0,0,1,0],[0,1,1,0]],\"4400\":[[0,1,1,1],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","N","+","P-O-112","+"],["+","+","+","+","+","+","+"],["E","P-W-4400","+","A-W","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","P-W-112","+"],["+","+","+","+","+","G","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","P-W-3968","+","N","+","N","G"],["S","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 0\n y: 10\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4400\n color: \"white\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 3968\n color: \"white\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"orange\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"white\"\n - position:\n x: 5\n y: 6\n properties:\n gap: 1\n - position:\n x: 6\n y: 9\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.6964758473424609,"grid_size":{"height":2,"width":3},"id":"24289a0f9096e6a7","polyshapes":"{}","puzzle_array":[["+","G","+","G","+","+","+"],["+","o-Y","+","N","+","N","+"],["E","+","+","+","+","+","+"],["+","N","+","o-Y","+","o-Y","+"],["+","G","+","+","S","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":7},{"index":1,"path":[{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":11},{"index":2,"path":[{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":15},{"index":3,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":7}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 4\n y: 4\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":3,"difficulty_score":2.1014756572149267,"grid_size":{"height":6,"width":2},"id":"ceb9b6e07d83a8f2","polyshapes":"{}","puzzle_array":[["+","+","+",".","E"],["+","N","+","*-Y","+"],["+","+","+","+","+"],["+","N","+","*-Y","+"],["+","+","+","+","+"],["G","N","+","B-P","G"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","A-Y","+"],["+","S",".","+","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":28},{"index":1,"path":[{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":28},{"index":2,"path":[{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":28},{"index":3,"path":[{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":24},{"index":4,"path":[{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":24},{"index":5,"path":[{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":24},{"index":6,"path":[{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":24},{"index":7,"path":[{"x":1,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 1\n y: 12\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 2\n y: 12\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.357434696960528,"grid_size":{"height":4,"width":4},"id":"9d48e5c940285cc1","polyshapes":"{\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[[".","+","+","+","+","S","+","+","+"],["E","N",".","N","+","D-Y","+","N","+"],["+","+","+","+","+",".","+","+","."],["+","N","+","N","+","N","+","N","+"],[".","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-Y-784","+","A-K","+"],["+","+","+","+",".","+","+","+","+"],["G","N","+","N","+","N","+","*-Y","+"],["+","+","+","+","+","+",".","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":43},{"index":1,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":43},{"index":2,"path":[{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":43}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 5\n y: 0\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 4\n y: 6\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"yellow\"\n - position:\n x: 5\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"yellow\"\n - position:\n x: 6\n y: 8\n properties:\n dot: 1\n - position:\n x: 7\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.0747338902603039,"grid_size":{"height":2,"width":4},"id":"cd5fcbab6212d1d3","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["S","N","+","N","+","o-R","+","N","+"],["+","+","+","+","+","+","+","+","E"],["+","o-R","+","o-R","+","N","+","o-W","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":46,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":20},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":16},{"index":2,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":24},{"index":3,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":28},{"index":4,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":20},{"index":5,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":24},{"index":6,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":16},{"index":7,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":20},{"index":8,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":20},{"index":9,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":24},{"index":10,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":20},{"index":11,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":24},{"index":12,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":28},{"index":13,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":20},{"index":14,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":16},{"index":15,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":20},{"index":16,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":16},{"index":17,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":20},{"index":18,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":16},{"index":19,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":20},{"index":20,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":24},{"index":21,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":18},{"index":22,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":14},{"index":23,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":18},{"index":24,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":22},{"index":25,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":18},{"index":26,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":18},{"index":27,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":22},{"index":28,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":14},{"index":29,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":18},{"index":30,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":14},{"index":31,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":18},{"index":32,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":22},{"index":33,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":14},{"index":34,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":18},{"index":35,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":26},{"index":36,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":14},{"index":37,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":18},{"index":38,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":22},{"index":39,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":22},{"index":40,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":18},{"index":41,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":22},{"index":42,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":26},{"index":43,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":22},{"index":44,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":22},{"index":45,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 8\n y: 2\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n"} {"difficulty_level":5,"difficulty_score":4.742236231319467,"grid_size":{"height":4,"width":6},"id":"37511cf28410d02d","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","G","+","G","+","+","+","+","+"],["+","o-Y","+","N","+","o-Y","+","N","+","N","+","N","G"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","A-Y","+","o-W","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","o-Y","+","N","+","N","+"],["+","+","+","+","+","+",".","+","+","+","+","+","+"],["+","N","+","o-W","+","N","+","P-Y-4368","+","N","+","N","E"],["+","+","+","+","S","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":12,"y":7}],"pathLength":32},{"index":1,"path":[{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":12,"y":7}],"pathLength":36}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 4\n start:\n x: 4\n y: 8\n end:\n x: 12\n y: 7\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 6\n y: 6\n properties:\n dot: 1\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"yellow\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 12\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.287075054550843,"grid_size":{"height":3,"width":2},"id":"9bd62a0dce10434d","polyshapes":"{}","puzzle_array":[[".","+","+",".","E"],["+","N","+","N","+"],["+","+",".","+","+"],["+","N","+","o-Y","+"],["+","+","+","+","+"],["+","N","G","N","S"],["+",".","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":24},{"index":1,"path":[{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 5\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 6\n properties:\n dot: 1\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 2\n y: 5\n properties:\n gap: 1\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":3,"difficulty_score":2.316684794318986,"grid_size":{"height":5,"width":3},"id":"5a0358b2f517c242","polyshapes":"{}","puzzle_array":[["S","+","+","+","+","+","+"],["G","N","+","N","+","N","+"],["+","+","+","G","+","+","E"],["+","N","+","o-Y","+","N","+"],["+","+","+","+","+",".","+"],["+","o-Y","+","o-K","+","N","+"],["+","+","+","G","+","+","+"],["+","N","+","N","+","o-Y","+"],["+","+","+","+","+","+","+"],["+","o-Y","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2}],"pathLength":41}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 0\n y: 0\n end:\n x: 6\n y: 2\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 5\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":5,"difficulty_score":4.993236480570608,"grid_size":{"height":6,"width":6},"id":"7f017c48853b5bdf","polyshapes":"{\"10000\":[[0,1,1,0],[0,0,1,1],[0,0,1,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"69936\":[[0,1,1,1],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]],\"8752\":[[0,1,0,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[[".","+","+","+","S","+","+","G","+","+","+","+","+"],["+","N",".","P-W-8752","+","P-R-272","+","B-R","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],[".","N","+","N","+","N","+","o-B","G","P-R-272","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","P-R-864","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","G","+","+","."],["+","N","+","N","+","N","+","N","+","P-W-10000","+","N","+"],["+","+","+","+","+","+",".","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+",".","+","+","+","+"],["+","N","+","N","+","N","+","N","+","P-O-69936","+","N","+"],["+","E","+","+","+","+","+","+","+","+","+","+","."]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":7},{"x":12,"y":8},{"x":11,"y":8},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":11,"y":10},{"x":12,"y":10},{"x":12,"y":11},{"x":12,"y":12},{"x":11,"y":12},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12}],"pathLength":86},{"index":1,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":7},{"x":12,"y":8},{"x":11,"y":8},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":11,"y":10},{"x":12,"y":10},{"x":12,"y":11},{"x":12,"y":12},{"x":11,"y":12},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12}],"pathLength":82},{"index":2,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":7},{"x":12,"y":8},{"x":12,"y":9},{"x":12,"y":10},{"x":12,"y":11},{"x":12,"y":12},{"x":11,"y":12},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12}],"pathLength":82},{"index":3,"path":[{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6},{"x":12,"y":6},{"x":12,"y":7},{"x":12,"y":8},{"x":12,"y":9},{"x":12,"y":10},{"x":12,"y":11},{"x":12,"y":12},{"x":11,"y":12},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12}],"pathLength":78}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 6\n start:\n x: 4\n y: 0\n end:\n x: 1\n y: 12\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 0\n y: 3\n properties:\n dot: 1\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 8752\n color: \"white\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"red\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"red\"\n - position:\n x: 6\n y: 8\n properties:\n dot: 1\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n - position:\n x: 8\n y: 10\n properties:\n dot: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"red\"\n - position:\n x: 9\n y: 6\n properties:\n gap: 1\n - position:\n x: 9\n y: 7\n properties:\n type: \"poly\"\n polyshape: 10000\n color: \"white\"\n - position:\n x: 9\n y: 11\n properties:\n type: \"poly\"\n polyshape: 69936\n color: \"orange\"\n - position:\n x: 12\n y: 6\n properties:\n dot: 1\n - position:\n x: 12\n y: 12\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.4683504091458353,"grid_size":{"height":6,"width":2},"id":"c3d39f83080c2be0","polyshapes":"{\"1136\":[[0,1,0,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]]}","puzzle_array":[["+","+","E","+","S"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","P-W-1136","+","N","+"],["+","+","+","+","+"],["+","N","+","A-W","+"],["+","+","+","+","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":31},{"index":1,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":31},{"index":2,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0}],"pathLength":27},{"index":3,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0}],"pathLength":27},{"index":4,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 4\n y: 0\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 1136\n color: \"white\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n"} {"difficulty_level":4,"difficulty_score":3.9150749480407816,"grid_size":{"height":3,"width":6},"id":"d15996d3b19a7b89","polyshapes":"{\"864\":[[0,0,1,0],[0,1,1,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","G","+","+","+"],["+","N","G","*-Y","+","P-P-864","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","*-Y","+","N","+","N","+","N","G","N","+","N","+"],["+","+","+","+","+","+","+","G","+","+","+","+","+"],["S","N","+","*-P","+","o-Y","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","G","+","G","+","E","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6}],"pathLength":43},{"index":1,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6}],"pathLength":41},{"index":2,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6}],"pathLength":47},{"index":3,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6}],"pathLength":45},{"index":4,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6},{"x":11,"y":6}],"pathLength":41},{"index":5,"path":[{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":11,"y":6}],"pathLength":39}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 0\n y: 5\n end:\n x: 11\n y: 6\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 864\n color: \"purple\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 4\n properties:\n gap: 1\n - position:\n x: 7\n y: 6\n properties:\n gap: 1\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n - position:\n x: 9\n y: 0\n properties:\n gap: 1\n - position:\n x: 9\n y: 6\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.7040345767618685,"grid_size":{"height":2,"width":6},"id":"5e7cbdd4ea58a968","polyshapes":"{\"12848\":[[0,1,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"4880\":[[0,1,1,1],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","A-R","+","N","+","P-Y-12848","+","N","+","P-R-4880","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","o-R","+","N","+","N","+","N","+","N","+","N","+"],["S","+","+","E","+","G","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":11,"y":4},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4}],"pathLength":42}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 3\n y: 4\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12848\n color: \"yellow\"\n - position:\n x: 11\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4880\n color: \"red\"\n"} {"difficulty_level":5,"difficulty_score":4.839932717905703,"grid_size":{"height":4,"width":5},"id":"2ec21f80d299308c","polyshapes":"{\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["+","o-P","+","A-W","+","N","+","N","+","A-G","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","P-G-240","+"],["+",".","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","*-W","+","N","+","o-W","+"],["+","+","+","+","+","+","+","+","+","+","+"],["E","o-G","+","o-W","+","N","+","o-G","+","N","+"],["+","+","+","+","+","+","S","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7}],"pathLength":42}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 4\n start:\n x: 6\n y: 8\n end:\n x: 0\n y: 7\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"green\"\n - position:\n x: 9\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n"} {"difficulty_level":2,"difficulty_score":1.7748875334504164,"grid_size":{"height":3,"width":4},"id":"2e3e77529092e4d8","polyshapes":"{\"4400\":[[0,1,1,1],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","G","+"],["+","P-P-4400","+","N","+","N","+","A-K","G"],["E","G","+","+","+","+","+","+","+"],["+","N","+","N","+","B-K","+","N","+"],["+","+","+","+","+","+","+","+","S"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":31},{"index":1,"path":[{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 8\n y: 4\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 4400\n color: \"purple\"\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 8\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.0268662722080775,"grid_size":{"height":3,"width":3},"id":"3026e4c4c27a1245","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","E"],["+","N","+","N",".","N","S"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","."],["+","+","+","+","+","+","+"],["+","N","+","*-R","+","B-R","+"],["+","+","+","+","+","+","."]],"solution_count":10,"solutions":[{"index":0,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":24},{"index":1,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":24},{"index":2,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":24},{"index":3,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":28},{"index":4,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":28},{"index":5,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":32},{"index":6,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":24},{"index":7,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":28},{"index":8,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":20},{"index":9,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 1\n end:\n x: 6\n y: 0\n cells:\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n - position:\n x: 6\n y: 3\n properties:\n dot: 1\n - position:\n x: 6\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.5343469250392805,"grid_size":{"height":3,"width":4},"id":"752ad13bb02edb78","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","N","+","o-W","+","N","+","N","+"],["+","+","+","+","+","+","+","+","E"],["+","N","+","N","+","o-G","+","N","G"],["+","+","+","+","+","+","+","+","+"],["+","o-W","+","o-W","+","N",".","N","+"],["+","+","+","+","+","+","S","+","+"]],"solution_count":25,"solutions":[{"index":0,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":19},{"index":1,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":23},{"index":2,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":23},{"index":3,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":23},{"index":4,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":23},{"index":5,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":27},{"index":6,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":27},{"index":7,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":27},{"index":8,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":15},{"index":9,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":19},{"index":10,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":19},{"index":11,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":19},{"index":12,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":11},{"index":13,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":15},{"index":14,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":15},{"index":15,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2}],"pathLength":15},{"index":16,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":35},{"index":17,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":35},{"index":18,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":31},{"index":19,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":31},{"index":20,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":31},{"index":21,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":31},{"index":22,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":31},{"index":23,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":31},{"index":24,"path":[{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 6\n y: 6\n end:\n x: 8\n y: 2\n cells:\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 6\n y: 5\n properties:\n dot: 1\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.21396079080619634,"grid_size":{"height":2,"width":2},"id":"4fea7fa61194564d","polyshapes":"{}","puzzle_array":[["S","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","E"],["+","N","+","B-G","+"],[".","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2}],"pathLength":15},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2}],"pathLength":11},{"index":2,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 4\n y: 2\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"green\"\n"} {"difficulty_level":2,"difficulty_score":1.1453160638979427,"grid_size":{"height":2,"width":3},"id":"71d86556e76ad543","polyshapes":"{}","puzzle_array":[["+","+","+","S","+","G","+"],["+","N","+","D-K","+","A-K","G"],["+","+","+","+","+","+","+"],["+","N","+","N","+","*-K","G"],["+","+","+","+","+","+","E"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 3\n y: 0\n end:\n x: 6\n y: 4\n cells:\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"black\"\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.990132066609291,"grid_size":{"height":6,"width":5},"id":"491bb36b613e4e47","polyshapes":"{\"368\":[[0,1,1,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","G","+","G","+"],["+","N","+","N","+","N","+","N","+","o-R","G"],["+","+","+","+","+","+","+","+","+","+","+"],["+","P-R-368","+","N","+","*-R","+","B-B","+","o-Y","E"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","G"],["+","+","+","+","+","+","+","+","+","+","+"],["+","N","G","N","+","A-R","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"],["+","o-Y","+","N","+","N","+","N","+","o-R","+"],["+","+","+","+","+","+","+","+","+","+","+"],["G","o-B","+","o-Y","+","N","+","N","+","N","S"],["+","+","+","+",".","+","+","+","+","+","+"]],"solution_count":39,"solutions":[{"index":0,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":9,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":1,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":9,"y":10},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":2,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":59},{"index":3,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":4,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":51},{"index":5,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":6,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":59},{"index":7,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":8,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":51},{"index":9,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":10,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":51},{"index":11,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":12,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":13,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":14,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":15,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":59},{"index":16,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":59},{"index":17,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":18,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":19,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":20,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":59},{"index":21,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":51},{"index":22,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":8,"y":11},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":55},{"index":23,"path":[{"x":10,"y":11},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":51},{"index":24,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":57},{"index":25,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":57},{"index":26,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":57},{"index":27,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":61},{"index":28,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":7,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":7,"y":10},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":61},{"index":29,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":61},{"index":30,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":57},{"index":31,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":61},{"index":32,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":61},{"index":33,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":57},{"index":34,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":9,"y":8},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":57},{"index":35,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":57},{"index":36,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":9,"y":10},{"x":10,"y":10},{"x":10,"y":9},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":57},{"index":37,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":57},{"index":38,"path":[{"x":10,"y":11},{"x":10,"y":12},{"x":9,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":10,"y":7},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3}],"pathLength":57}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 6\n start:\n x: 10\n y: 11\n end:\n x: 10\n y: 3\n cells:\n - position:\n x: 0\n y: 11\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 368\n color: \"red\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 2\n y: 7\n properties:\n gap: 1\n - position:\n x: 3\n y: 11\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 4\n y: 12\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 7\n y: 0\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 9\n y: 0\n properties:\n gap: 1\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 9\n y: 9\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 10\n y: 1\n properties:\n gap: 1\n - position:\n x: 10\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.42081001825693576,"grid_size":{"height":2,"width":2},"id":"40693c9b829f7c9","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","G","+","+","+"],["+","P-G-784","+","N","+"],["+","+","+","+","S"],["+","P-G-16","+","N","+"],["E","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":7},{"index":1,"path":[{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 2\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"green\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"green\"\n"} {"difficulty_level":3,"difficulty_score":2.348114983810736,"grid_size":{"height":3,"width":3},"id":"474da419ac055d71","polyshapes":"{}","puzzle_array":[["+","G","+","+","+","+","+"],["+","o-O","+","N","+","N","+"],["+","+","+","G","+","+","+"],["+","o-O","+","A-O","+","*-O","E"],["+","G","+","+","+","+","S"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3}],"pathLength":20},{"index":1,"path":[{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3}],"pathLength":20},{"index":2,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3}],"pathLength":20},{"index":3,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 4\n end:\n x: 6\n y: 3\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n"} {"difficulty_level":2,"difficulty_score":1.2483607303046271,"grid_size":{"height":4,"width":2},"id":"e804a2b9ef415dc","polyshapes":"{}","puzzle_array":[["+","+","+","E","+"],["+","N",".","o-O","G"],["+","+","+","+","+"],[".","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["G","o-R","+","A-O","+"],["+","+","+","+","S"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":16},{"index":1,"path":[{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 8\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 0\n y: 3\n properties:\n dot: 1\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 2\n y: 1\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.7748875334504164,"grid_size":{"height":2,"width":6},"id":"be13f5d153641d08","polyshapes":"{\"12832\":[[0,0,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N",".","P-R-12832","+","*-B","G","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+","P-B-816","."],["S","+","+","+","+","+","+","+","+","+","+","+","E"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4}],"pathLength":21},{"index":1,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4}],"pathLength":37}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 12\n y: 4\n cells:\n - position:\n x: 6\n y: 1\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 12832\n color: \"red\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 10\n y: 1\n properties:\n gap: 1\n - position:\n x: 11\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"blue\"\n - position:\n x: 12\n y: 3\n properties:\n dot: 1\n"} {"difficulty_level":3,"difficulty_score":2.110753136300275,"grid_size":{"height":3,"width":3},"id":"645beb1e8decfea4","polyshapes":"{}","puzzle_array":[["+","+","+","+",".","+","+"],["E","N","+","o-Y","+","N","+"],["+","+",".","+","+","+","+"],["+","o-P","+","N","+","N","+"],["+","+","+","+","+","+","S"],["+","*-P","+","*-P","+","o-P","+"],["+","+","+","+","+","+","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":28},{"index":1,"path":[{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":24},{"index":2,"path":[{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":26},{"index":3,"path":[{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":28},{"index":4,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":28},{"index":5,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":24},{"index":6,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":26},{"index":7,"path":[{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 4\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 4\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"2ae4ce9e092ca6e7","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","+","+","E"],["+","o-O","+","o-P","+"],["+","+","+","+","+"],["+","P-O-800","+","o-P","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":10},{"index":1,"path":[{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 1\n y: 0\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":5,"difficulty_score":4.454659321767389,"grid_size":{"height":6,"width":3},"id":"78ddc0c26cafd04c","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"4464\":[[0,1,1,1],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","E","+","+","+","+"],["+","N","+","N","+","N","G"],["+","+","+","+","+","+","+"],["+","B-R","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","P-W-4464","+","o-R","+","N","+"],["+","+","+","G","+","+","+"],["+","N","+","P-W-16","+","*-R","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","*-R","S"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":6,"y":9},{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":38},{"index":1,"path":[{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":36},{"index":2,"path":[{"x":6,"y":9},{"x":6,"y":10},{"x":6,"y":11},{"x":6,"y":12},{"x":5,"y":12},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0}],"pathLength":36}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 6\n y: 9\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"poly\"\n polyshape: 4464\n color: \"white\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"white\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 9\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.8775487020026596,"grid_size":{"height":4,"width":4},"id":"19cf04310fb0f101","polyshapes":"{}","puzzle_array":[["+","+","+",".","+","+","+","+","+"],["G","N","+","N","+","o-Y","+","*-P","+"],["+","+","+","+","+","+","+","+","S"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","*-Y","+","o-Y",".","N","+","B-P","+"],["E","+","+","G","+","+",".","+","+"],["+","N","+","A-W","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"]],"solution_count":7,"solutions":[{"index":0,"path":[{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":37},{"index":1,"path":[{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":37},{"index":2,"path":[{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":37},{"index":3,"path":[{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":33},{"index":4,"path":[{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":33},{"index":5,"path":[{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29},{"index":6,"path":[{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 4\n start:\n x: 8\n y: 2\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 3\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 4\n y: 5\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 6\n y: 6\n properties:\n dot: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n"} {"difficulty_level":2,"difficulty_score":1.8281432733786116,"grid_size":{"height":3,"width":2},"id":"6fff75b605783aaf","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","o-P","+","o-P","+"],["+","+","+","+","+"],["+","o-P","+","o-P","+"],["+","+","+","+","+"],["+","o-K","+","o-K","+"],["E","+","S","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 2\n y: 6\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n"} {"difficulty_level":3,"difficulty_score":2.9650488489577045,"grid_size":{"height":4,"width":2},"id":"c7cc3a12411b96b7","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","o-B","+","N","+"],["+","+","+","+","S"],["+","o-B","+","*-K","G"],["+","+","+","+","+"],["+","o-B","+","*-K","+"],["+","+","+","+","E"],["+","*-Y","+","*-Y","+"],["+","+","+","+","+"]],"solution_count":28,"solutions":[{"index":0,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":21},{"index":1,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":13},{"index":2,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":13},{"index":3,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":17},{"index":4,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":25},{"index":5,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":17},{"index":6,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":17},{"index":7,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":21},{"index":8,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":13},{"index":9,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":17},{"index":10,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":17},{"index":11,"path":[{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":9},{"index":12,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":21},{"index":13,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":25},{"index":14,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":25},{"index":15,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":17},{"index":16,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":25},{"index":17,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":17},{"index":18,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":17},{"index":19,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":21},{"index":20,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":25},{"index":21,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":17},{"index":22,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":17},{"index":23,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":21},{"index":24,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":17},{"index":25,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":21},{"index":26,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":21},{"index":27,"path":[{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":13}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 2\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.49758051559726735,"grid_size":{"height":3,"width":3},"id":"b3a09d3b16798194","polyshapes":"{}","puzzle_array":[["+","+",".","+","+","+","S"],["+","N","G","N","+","o-O","G"],["+","+","+","G","+",".","+"],["+","N","+","N","+","N","E"],["+","+","+","+","+","+","+"],["+","N","+","N",".","N","+"],["+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3}],"pathLength":28},{"index":1,"path":[{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3}],"pathLength":24},{"index":2,"path":[{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3}],"pathLength":24},{"index":3,"path":[{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 6\n y: 0\n end:\n x: 6\n y: 3\n cells:\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 4\n y: 5\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 5\n y: 2\n properties:\n dot: 1\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":4,"difficulty_score":3.745605836981043,"grid_size":{"height":4,"width":3},"id":"e9f72a3f25af192","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"306\":[[0,1,1,0],[1,1,0,0],[0,0,0,0],[0,0,0,0]],\"3968\":[[0,0,1,0],[0,0,1,0],[0,0,1,0],[0,1,1,0]],\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","P-O-112","+","N","+","Y-O-306","."],["+","+","+","+","+","+","+"],["+","P-O-16","+","P-O-3968","+","o-O","+"],["+","+","+","+","+","+","+"],[".","N","+","N","+","N","+"],["E","+","+","+","+","+","+"],["+","P-O-4368","+","N","+","P-O-112","+"],["+","+","+","+","+","+","S"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 6\n y: 8\n end:\n x: 0\n y: 6\n cells:\n - position:\n x: 0\n y: 5\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"orange\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 3968\n color: \"orange\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"ylop\"\n polyshape: 306\n color: \"orange\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"orange\"\n - position:\n x: 6\n y: 1\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.309382189598503,"grid_size":{"height":2,"width":2},"id":"4103547582f7c52f","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","A-K","+","o-Y","+"],["+","+","+","+","+"],["+","D-K","+","N","E"],["+","S",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3}],"pathLength":11}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 1\n y: 4\n end:\n x: 4\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 4\n color: \"black\"\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":4,"difficulty_score":3.9744825032693516,"grid_size":{"height":2,"width":6},"id":"8b20514e6e30759","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","P-W-304","+","B-Y","+","N","+","N","+","N","+","o-P","."],["+","+","+","+","+","+","+","+",".","+","+","+","+"],["+","o-K","+","N","G","N","+","N","G","*-P","+","D-Y","E"],["+","+","S","+","+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":3}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 2\n y: 4\n end:\n x: 12\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"white\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 8\n y: 2\n properties:\n dot: 1\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 11\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"triangle\"\n count: 4\n color: \"yellow\"\n - position:\n x: 12\n y: 1\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.21396079080619634,"grid_size":{"height":2,"width":2},"id":"1c88380f6e6ff078","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+",".","+","+","+"],["+","P-K-304","G","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["E","+",".","+","S"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":17}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 4\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"black\"\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 2\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.6357116736429378,"grid_size":{"height":2,"width":4},"id":"40cac0c85d57352c","polyshapes":"{}","puzzle_array":[["+","G","+","+","+",".","+","+","E"],["+","N","+","N","+","*-B","+","A-R","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","*-B","+","N","+","*-R","+"],["+","+","+","+","+","+","+","+","S"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":21},{"index":1,"path":[{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":21},{"index":2,"path":[{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":17},{"index":3,"path":[{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":17},{"index":4,"path":[{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":25},{"index":5,"path":[{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 8\n y: 4\n end:\n x: 8\n y: 0\n cells:\n - position:\n x: 1\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"star\"\n color: \"red\"\n"} {"difficulty_level":3,"difficulty_score":2.34497013028262,"grid_size":{"height":3,"width":2},"id":"2bcd973446d31c7c","polyshapes":"{\"1824\":[[0,0,1,0],[0,1,1,0],[0,0,1,0],[0,0,0,0]]}","puzzle_array":[["S","+",".","+","+"],["+","o-P","+","o-P","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["E","D-P",".","P-P-1824","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"triangle\"\n count: 4\n color: \"purple\"\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 2\n y: 5\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 1824\n color: \"purple\"\n"} {"difficulty_level":1,"difficulty_score":0.42081001825693576,"grid_size":{"height":2,"width":2},"id":"3b022960e0952ea6","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","S","E",".","+"],["+","P-K-784","+","N","+"],["+","+","+","G","+"],["+","P-K-16","+","N","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0}],"pathLength":16},{"index":1,"path":[{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 1\n y: 0\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"black\"\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.110753136300275,"grid_size":{"height":3,"width":3},"id":"af273e8037137f53","polyshapes":"{}","puzzle_array":[["S","+","+","+","+","E","+"],["+","o-K","+","N","+","o-R","+"],["+","+","+","G","+","+","+"],["+","N","+","N","+","o-O","+"],["+","+","+","+","+","+","+"],["+","N","+","o-O","+","A-O","+"],["+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":22},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 0\n end:\n x: 5\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n"} {"difficulty_level":1,"difficulty_score":0.287075054550843,"grid_size":{"height":2,"width":3},"id":"f40072aa3a377063","polyshapes":"{}","puzzle_array":[["+","E",".","+","+",".","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","o-R","+","N","+","N","+"],["S","G","+",".","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":20},{"index":1,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.1568457111547232,"grid_size":{"height":5,"width":2},"id":"bfafe8fa302355fe","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","E"],["+","+","+","+","+"],["+","N","+","o-B","+"],["+","+","+","+","+"],["+","N","+","P-B-272","+"],["S","+","+","+","+"]],"solution_count":48,"solutions":[{"index":0,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":18},{"index":1,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":2,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":32},{"index":3,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":32},{"index":4,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":32},{"index":5,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":20},{"index":6,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":32},{"index":7,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":24},{"index":8,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":9,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":20},{"index":10,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":32},{"index":11,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":24},{"index":12,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":13,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":22},{"index":14,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":30},{"index":15,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":24},{"index":16,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":34},{"index":17,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":18,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":24},{"index":19,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":26},{"index":20,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":32},{"index":21,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":34},{"index":22,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":34},{"index":23,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":24,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":34},{"index":25,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":26,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":27,"path":[{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":30},{"index":28,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":20},{"index":29,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":32},{"index":30,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":24},{"index":31,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":32,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":24},{"index":33,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":34,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":24},{"index":35,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":32},{"index":36,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":37,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":38,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":39,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":24},{"index":40,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":41,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":42,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":43,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":16},{"index":44,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":28},{"index":45,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":20},{"index":46,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5}],"pathLength":24},{"index":47,"path":[{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5}],"pathLength":10}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 10\n end:\n x: 4\n y: 5\n cells:\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"blue\"\n"} {"difficulty_level":4,"difficulty_score":3.793438174091592,"grid_size":{"height":5,"width":4},"id":"71cda8beb94a1e5","polyshapes":"{\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","S","+","+","+","+"],["+","N","+","B-B","+","N","+","N","+"],["+","+",".","+","+","+","+","+","+"],["+","N","+","N","+","N","+","o-G","+"],["+","+","+","+","+","+",".","+","+"],["+","N",".","N","+","P-B-272","+","N","+"],[".","G","+","+","+","+","+",".","+"],["+","N","+","N","G","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+",".","E","+","+","+","+","+","+"]],"solution_count":16,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":49},{"index":1,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":53},{"index":2,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":53},{"index":3,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":53},{"index":4,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":53},{"index":5,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":57},{"index":6,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":57},{"index":7,"path":[{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":57},{"index":8,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":49},{"index":9,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":53},{"index":10,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":53},{"index":11,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":53},{"index":12,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":53},{"index":13,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":7,"y":8},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":57},{"index":14,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":57},{"index":15,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":7},{"x":8,"y":8},{"x":8,"y":9},{"x":8,"y":10},{"x":7,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10}],"pathLength":57}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 5\n start:\n x: 4\n y: 0\n end:\n x: 2\n y: 10\n cells:\n - position:\n x: 0\n y: 6\n properties:\n dot: 1\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 1\n y: 10\n properties:\n dot: 1\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 2\n y: 5\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 4\n y: 7\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"blue\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 7\n y: 6\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.2786814139142284,"grid_size":{"height":4,"width":3},"id":"e7139fb59fd50480","polyshapes":"{\"18240\":[[0,0,1,0],[0,0,1,0],[0,1,1,1],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+","+","+"],["+","P-B-48","+","N","+","P-B-304","S"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-B-18240","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 6\n y: 1\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"blue\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 18240\n color: \"blue\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"blue\"\n"} {"difficulty_level":4,"difficulty_score":3.9677280993804,"grid_size":{"height":5,"width":3},"id":"5b1fec7314b29551","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+",".","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","B-R","+","N","+","o-R","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"],["G","A-R","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","P-R-112","+","*-R",".","N","+"],["+","S","+","E","+","+","+"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10}],"pathLength":37},{"index":1,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10}],"pathLength":37},{"index":2,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10}],"pathLength":37},{"index":3,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10}],"pathLength":33},{"index":4,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10}],"pathLength":33},{"index":5,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10}],"pathLength":33},{"index":6,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10}],"pathLength":33},{"index":7,"path":[{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 1\n y: 10\n end:\n x: 3\n y: 10\n cells:\n - position:\n x: 0\n y: 7\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"red\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"red\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 4\n y: 0\n properties:\n dot: 1\n - position:\n x: 4\n y: 9\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n"} {"difficulty_level":5,"difficulty_score":4.468712235935712,"grid_size":{"height":2,"width":5},"id":"7af275888f0be7d4","polyshapes":"{\"12832\":[[0,0,0,1],[0,1,1,1],[0,0,0,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+"],["S","P-Y-16","+","N","+","P-K-800","+","*-P","+","o-K","+"],["+","+","+","+","+","+","+","+","+","+","+"],["E","P-P-272","+","N",".","B-P","+","A-P","+","P-K-12832","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":23},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":25}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 0\n y: 1\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"purple\"\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"black\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 12832\n color: \"black\"\n"} {"difficulty_level":3,"difficulty_score":2.874384993997711,"grid_size":{"height":3,"width":5},"id":"5b13733bc4bcb00e","polyshapes":"{\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["S","+","+",".","+","+",".","+","+","+","+"],["+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+",".","+","+","+","+","+","+"],["E","N","+","N","+","N","+","o-K","+","N","+"],["+","+","+","+","+","+","+","+",".","+","+"],["+","*-K","+","N","+","P-K-800","+","N","+","N","+"],[".","+","+","+","+","+","+","+","+","+","+"]],"solution_count":12,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":42},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":38},{"index":2,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":38},{"index":3,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":38},{"index":4,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":38},{"index":5,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":34},{"index":6,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":46},{"index":7,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":42},{"index":8,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":42},{"index":9,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":42},{"index":10,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":5},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":42},{"index":11,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":38}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 0\n y: 6\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 0\n properties:\n dot: 1\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"black\"\n - position:\n x: 6\n y: 0\n properties:\n dot: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 8\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.9744825032693516,"grid_size":{"height":4,"width":3},"id":"e0f69178ae50095b","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","G","+","G","+"],["+","o-W","+","P-O-304","+","N","S"],["+","G","+","+","+","+","+"],["+","*-W","+","N","+","N","+"],["+","+","+","+","+","G","+"],["+","N","G","*-R","+","*-R","G"],["+","+","+","+","+","+","+"],["+","N","+","N","+","D-R","+"],["+","+","+","+","+","E","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":33},{"index":1,"path":[{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8}],"pathLength":33}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 6\n y: 1\n end:\n x: 5\n y: 8\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 2\n y: 5\n properties:\n gap: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 5\n y: 5\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"triangle\"\n count: 4\n color: \"red\"\n - position:\n x: 6\n y: 5\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.287075054550843,"grid_size":{"height":2,"width":5},"id":"f720ec5ea886eaf3","polyshapes":"{}","puzzle_array":[["+","+","+","+","+",".","+","+",".","+","+"],["+","N","+","N","+","N","+","N","+","N","E"],["+",".","+","+","+","+","+",".","+","+","+"],["+","N","+","N",".","N","+","N",".","N","+"],["+","+","+","+","+","+","+","+","S","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1}],"pathLength":28},{"index":1,"path":[{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1}],"pathLength":28},{"index":2,"path":[{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":10,"y":1}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 2\n start:\n x: 8\n y: 4\n end:\n x: 10\n y: 1\n cells:\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 4\n y: 3\n properties:\n dot: 1\n - position:\n x: 5\n y: 0\n properties:\n dot: 1\n - position:\n x: 7\n y: 2\n properties:\n dot: 1\n - position:\n x: 8\n y: 0\n properties:\n dot: 1\n - position:\n x: 8\n y: 3\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.6186286874773463,"grid_size":{"height":2,"width":3},"id":"bf4fd850fc72f25b","polyshapes":"{\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+"],["+","*-P","+","*-P","+","N","+"],["S","+","+","+","+","+","+"],[".","P-G-304","+","N","+","P-G-800","+"],["+","+","+","+","E","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4}],"pathLength":7},{"index":1,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 0\n y: 2\n end:\n x: 4\n y: 4\n cells:\n - position:\n x: 0\n y: 3\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"green\"\n"} {"difficulty_level":5,"difficulty_score":4.928644670598768,"grid_size":{"height":6,"width":4},"id":"d30a1b2a8c6477a0","polyshapes":"{\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]],\"8992\":[[0,0,1,0],[0,1,1,1],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","P-O-8992","G","Y-B-18","+","P-Y-816","+","N","+"],[".","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","E"],["+","+","+","+","+","+","+","+","+"],["+","N","+","o-Y","+","P-Y-48","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","*-Y","+","Y-Y-18","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+"],["+","*-Y","+","P-Y-816","+","N","+","N","+"],["+","+","+","S","+","+","+",".","+"]],"solution_count":5,"solutions":[{"index":0,"path":[{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5}],"pathLength":51},{"index":1,"path":[{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5}],"pathLength":51},{"index":2,"path":[{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":6,"y":9},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5}],"pathLength":51},{"index":3,"path":[{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5}],"pathLength":47},{"index":4,"path":[{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":7,"y":12},{"x":8,"y":12},{"x":8,"y":11},{"x":8,"y":10},{"x":8,"y":9},{"x":8,"y":8},{"x":8,"y":7},{"x":8,"y":6},{"x":8,"y":5}],"pathLength":51}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 6\n start:\n x: 3\n y: 12\n end:\n x: 8\n y: 5\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 8992\n color: \"orange\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 1\n y: 11\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"yellow\"\n - position:\n x: 3\n y: 11\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"yellow\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"yellow\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"yellow\"\n - position:\n x: 7\n y: 12\n properties:\n dot: 1\n"} {"difficulty_level":5,"difficulty_score":4.02756577505678,"grid_size":{"height":2,"width":6},"id":"5706655e3f23093f","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"800\":[[0,0,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","P-P-304","+","N","+","N","+","*-Y","+","P-Y-304","+"],["+","+","+","+",".","+","+","+","+","+","+","+","+"],["+","P-P-48","+","N","+","o-Y","+","P-Y-800","+","o-P","+","P-P-16","E"],["S","+","+","+","+","+","+","+","+","+",".","+","+"]],"solution_count":6,"solutions":[{"index":0,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":3}],"pathLength":22},{"index":1,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":24},{"index":2,"path":[{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":3}],"pathLength":38},{"index":3,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":11,"y":2},{"x":10,"y":2},{"x":10,"y":3},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":3}],"pathLength":38},{"index":4,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":11,"y":4},{"x":12,"y":4},{"x":12,"y":3}],"pathLength":30},{"index":5,"path":[{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":7,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":32}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 2\n start:\n x: 0\n y: 4\n end:\n x: 12\n y: 3\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"purple\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"poly\"\n polyshape: 800\n color: \"yellow\"\n - position:\n x: 9\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 9\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 10\n y: 4\n properties:\n dot: 1\n - position:\n x: 11\n y: 1\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"yellow\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"purple\"\n"} {"difficulty_level":2,"difficulty_score":1.2184262129619585,"grid_size":{"height":2,"width":2},"id":"41c32cabac723b4f","polyshapes":"{}","puzzle_array":[["S","E","+","+","+"],["+","o-O","+","o-O","+"],["+","+","+","+","+"],["+","o-K","+","o-O","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 0\n y: 0\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n"} {"difficulty_level":2,"difficulty_score":1.3482828412566676,"grid_size":{"height":3,"width":3},"id":"b34d5b604e28b5dd","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","G","+"],["+","N","+","N","G","o-P","+"],["+","G","+",".","+","+","+"],["+","N","+","A-P","+","N","+"],[".","+","+","+","+","+","+"],["+","N","+","A-G","+","N","+"],["S","+","+","+","+","E","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6}],"pathLength":24},{"index":1,"path":[{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 0\n y: 6\n end:\n x: 5\n y: 6\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 2\n properties:\n dot: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"green\"\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n"} {"difficulty_level":1,"difficulty_score":0.4586550246401705,"grid_size":{"height":3,"width":2},"id":"c457ef85e50b1c07","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","+"],[".","+","+","+","+"],["G","N","+","o-O","S"],["+","G","+","+","."],["+","N","+","o-O","+"],["+","E","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 3\n end:\n x: 1\n y: 6\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.4716188392703644,"grid_size":{"height":5,"width":2},"id":"4bd84e4ceca9ecfd","polyshapes":"{\"3872\":[[0,0,1,0],[0,1,1,0],[0,0,1,0],[0,0,1,0]]}","puzzle_array":[["+","E","+","+","+"],["+","D-P","+","N","+"],["+","+","+","+","+"],["G","P-P-3872","G","N","+"],["+","+","+","G","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","A-P","+"],["+","+","S","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0}],"pathLength":34}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 2\n y: 10\n end:\n x: 1\n y: 0\n cells:\n - position:\n x: 0\n y: 3\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 3872\n color: \"purple\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"triangle\"\n count: 1\n color: \"purple\"\n"} {"difficulty_level":3,"difficulty_score":2.5151399791239477,"grid_size":{"height":4,"width":2},"id":"cbe1e0098658043a","polyshapes":"{}","puzzle_array":[["S","+","E","+","+"],["+","o-Y","+","B-Y","+"],["+","+","+","+","+"],["+","o-Y","+","B-Y","+"],["+","+","+","+","+"],["+","o-Y","+","N","+"],["+","G","+","+","+"],["+","A-Y","+","N","+"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0}],"pathLength":23},{"index":1,"path":[{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 0\n y: 0\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"triangle\"\n count: 1\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"yellow\"\n"} {"difficulty_level":3,"difficulty_score":2.040475531373722,"grid_size":{"height":3,"width":5},"id":"862a69c8aaae8b50","polyshapes":"{\"4368\":[[0,1,1,1],[0,0,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","E","+","+","+","+","+","+","+"],["S","N","+","N","+","N","+","N","+","N","+"],["+","+",".","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","N","+","P-G-4368","+"],[".","+","+","+",".","+","+","+","+","+","+"],["+","o-G","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":47},{"index":1,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":47},{"index":2,"path":[{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":47},{"index":3,"path":[{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":9,"y":4},{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":9,"y":2},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0}],"pathLength":45}],"text_visualization":"puzzle:\n dimensions:\n width: 5\n height: 3\n start:\n x: 0\n y: 1\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 9\n y: 3\n properties:\n type: \"poly\"\n polyshape: 4368\n color: \"green\"\n"} {"difficulty_level":3,"difficulty_score":2.0644562175665646,"grid_size":{"height":4,"width":2},"id":"4cc3f931805bb756","polyshapes":"{}","puzzle_array":[["+","+","+","S","+"],["+","N","+","D-P","+"],["+","+","+","+","."],["+","A-B","+","B-B","+"],[".","+","+","+","+"],["+","o-Y","+","N","+"],["+","+","+","+","+"],["+","N","+","o-Y","E"],["+","+","+","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7}],"pathLength":25},{"index":1,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 3\n y: 0\n end:\n x: 4\n y: 7\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"purple\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"blue\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 4\n y: 2\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.284789124481342,"grid_size":{"height":5,"width":2},"id":"3ae48cafadebb0d0","polyshapes":"{\"1136\":[[0,1,0,0],[0,1,0,0],[0,1,1,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"18\":[[0,1,0,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"304\":[[0,1,1,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","E"],["+","N","+","P-W-16","+"],["+","+","+","+","+"],["+","P-W-1136","+","N","+"],["+","+","+","+","+"],["+","Y-W-18","+","P-W-48","+"],["+","+","+","+","+"],["+","*-W","+","N","+"],["+","+","+",".","+"],["+","P-W-304","+","N","+"],["+","+","+","+","S"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":27}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 4\n y: 10\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1136\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"ylop\"\n polyshape: 18\n color: \"white\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"white\"\n - position:\n x: 1\n y: 9\n properties:\n type: \"poly\"\n polyshape: 304\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"white\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"white\"\n - position:\n x: 3\n y: 8\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.1568457111547232,"grid_size":{"height":5,"width":2},"id":"804263863cd097a","polyshapes":"{\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","E","+","+"],["G","P-Y-784","+","N","+"],["+","+","+","G","+"],["+","N","+","N","+"],["+","G","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],[".","N","+","N","S"],["+","+","+","+","+"],["+","N",".","o-Y","+"],["+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0}],"pathLength":30},{"index":1,"path":[{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0}],"pathLength":28},{"index":2,"path":[{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 4\n y: 7\n end:\n x: 2\n y: 0\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 0\n y: 7\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"yellow\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 2\n y: 9\n properties:\n dot: 1\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"yellow\"\n"} {"difficulty_level":2,"difficulty_score":1.0268662722080775,"grid_size":{"height":3,"width":3},"id":"8f4d93a46b78c478","polyshapes":"{}","puzzle_array":[["+","+","+","S","+","+","+"],["+","N","+","*-R","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","A-R","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","+",".","+","+","+","E"]],"solution_count":15,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":24},{"index":1,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":20},{"index":2,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":24},{"index":3,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":20},{"index":4,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":20},{"index":5,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":20},{"index":6,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":20},{"index":7,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":24},{"index":8,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":20},{"index":9,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":20},{"index":10,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":20},{"index":11,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":20},{"index":12,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6}],"pathLength":16},{"index":13,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":20},{"index":14,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 3\n start:\n x: 3\n y: 0\n end:\n x: 6\n y: 6\n cells:\n - position:\n x: 2\n y: 6\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n"} {"difficulty_level":2,"difficulty_score":1.4683504091458353,"grid_size":{"height":6,"width":2},"id":"20511a9f2db0ff9b","polyshapes":"{\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["G","N","+","P-W-816","+"],["S","+","+","+","+"],["+","N","+","N","+"],["+","+","+",".","+"],["E","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","o-W","+","N","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":28,"solutions":[{"index":0,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":14},{"index":1,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":18},{"index":2,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":26},{"index":3,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30},{"index":4,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30},{"index":5,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30},{"index":6,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":22},{"index":7,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30},{"index":8,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":26},{"index":9,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":18},{"index":10,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":18},{"index":11,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":22},{"index":12,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30},{"index":13,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":26},{"index":14,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":26},{"index":15,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":22},{"index":16,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":22},{"index":17,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":22},{"index":18,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30},{"index":19,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":26},{"index":20,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30},{"index":21,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30},{"index":22,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30},{"index":23,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":1,"y":12},{"x":0,"y":12},{"x":0,"y":11},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":26},{"index":24,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":30},{"index":25,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":26},{"index":26,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":26},{"index":27,"path":[{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":4,"y":11},{"x":4,"y":12},{"x":3,"y":12},{"x":2,"y":12},{"x":2,"y":11},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 6\n start:\n x: 0\n y: 2\n end:\n x: 0\n y: 5\n cells:\n - position:\n x: 0\n y: 1\n properties:\n gap: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"white\"\n - position:\n x: 3\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.6186286874773463,"grid_size":{"height":2,"width":3},"id":"ab752f1f9da8f654","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","S"],["+","N","+","A-O","+","*-O","+"],["E","+","+","+","+","+","+"],["+","*-O","+","N","G","*-O","+"],["+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2}],"pathLength":9}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 6\n y: 0\n end:\n x: 0\n y: 2\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"orange\"\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n"} {"difficulty_level":4,"difficulty_score":3.745605836981043,"grid_size":{"height":4,"width":3},"id":"ae5679acd7f28fd1","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]],\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]],\"274\":[[0,1,1,0],[1,0,0,0],[0,0,0,0],[0,0,0,0]],\"816\":[[0,1,1,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","E","S"],["+","o-Y","+","P-Y-1808","+","P-Y-16","+"],["+","+","+","+","+","+","+"],["+","Y-Y-274","+","N","+","N","+"],["+","+","+","+","+","+","+"],["+","N","+","P-Y-816","+","P-Y-112","+"],["+","+","+","+","+","+","+"],["+","N","+","o-Y","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":36},{"index":1,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":28},{"index":2,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":28},{"index":3,"path":[{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0}],"pathLength":28}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 6\n y: 0\n end:\n x: 5\n y: 0\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"ylop\"\n polyshape: 274\n color: \"yellow\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 816\n color: \"yellow\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 5\n y: 1\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"yellow\"\n - position:\n x: 5\n y: 5\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"yellow\"\n"} {"difficulty_level":1,"difficulty_score":0.8071291047890703,"grid_size":{"height":2,"width":4},"id":"bfa8b40b956dcb3","polyshapes":"{}","puzzle_array":[[".","+","+","S","+","+","+","+","+"],["+","N","+","D-W",".","N","+","N","+"],["+","+","+","+","+","+","+","+","E"],["+","N","+","N","+","A-W","+","B-W","+"],["+",".","+","+","+","+",".","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":3},{"x":8,"y":2}],"pathLength":24}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 3\n y: 0\n end:\n x: 8\n y: 2\n cells:\n - position:\n x: 0\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 4\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 4\n color: \"white\"\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 6\n y: 4\n properties:\n dot: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n"} {"difficulty_level":4,"difficulty_score":3.57383007385811,"grid_size":{"height":3,"width":2},"id":"d5946da1a06e3e22","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+"],["+","P-P-272","+","B-K","+"],["+","+","+","+","+"],["+","P-K-16","+","P-P-784","+"],["+","+","+","+","S"],["+","o-P","+","A-K","+"],["+","+","+","+","E"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":23},{"index":1,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6}],"pathLength":19}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 4\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"purple\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"black\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"purple\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n"} {"difficulty_level":4,"difficulty_score":3.745605836981043,"grid_size":{"height":3,"width":4},"id":"fbe37e40106ef25f","polyshapes":"{\"18240\":[[0,0,1,0],[0,0,1,0],[0,1,1,1],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"784\":[[0,1,1,0],[0,0,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","S","+","+","+","+","+"],["+","*-O","+","N","+","N","+","P-K-272","+"],["+","+","+","+","+","+","+","+","+"],["+","*-O","+","P-O-18240","+","N","+","B-O","+"],["+","+","+","+","+","+","+","+","+"],["+","*-O","+","N","+","N","+","P-Y-784","E"],["+","+","+","+","+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":3},{"x":8,"y":4},{"x":8,"y":5}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 3\n start:\n x: 3\n y: 0\n end:\n x: 8\n y: 5\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 18240\n color: \"orange\"\n - position:\n x: 7\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"black\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"orange\"\n - position:\n x: 7\n y: 5\n properties:\n type: \"poly\"\n polyshape: 784\n color: \"yellow\"\n"} {"difficulty_level":1,"difficulty_score":0.05528195095328203,"grid_size":{"height":2,"width":2},"id":"2d269a6bdf9d69bf","polyshapes":"{}","puzzle_array":[["+","+","+","E","S"],["+","N","G","N","+"],["+",".","+","+","+"],["+","N","+","N","G"],["+","G","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":12}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 4\n y: 0\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 2\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.292238591599003,"grid_size":{"height":3,"width":6},"id":"e8e25a93e5e45009","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","G","+","+","+","+","+","+","S"],["+","N","+","A-R","+","o-P","+","N","+","N","+","o-Y","G"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","G","A-B","G","N","+","o-P","+"],["+","+","+","+","+","G","+","+","+","+","+","+","+"],["G","o-P","+","*-B","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","E"]],"solution_count":8,"solutions":[{"index":0,"path":[{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":39},{"index":1,"path":[{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":43},{"index":2,"path":[{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":35},{"index":3,"path":[{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":39},{"index":4,"path":[{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":39},{"index":5,"path":[{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":39},{"index":6,"path":[{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":9,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":35},{"index":7,"path":[{"x":12,"y":0},{"x":11,"y":0},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":8,"y":1},{"x":8,"y":2},{"x":7,"y":2},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":7,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":11,"y":2},{"x":12,"y":2},{"x":12,"y":3},{"x":12,"y":4},{"x":12,"y":5},{"x":12,"y":6}],"pathLength":35}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 12\n y: 0\n end:\n x: 12\n y: 6\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"star\"\n color: \"blue\"\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 5\n y: 4\n properties:\n gap: 1\n - position:\n x: 6\n y: 3\n properties:\n gap: 1\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n - position:\n x: 11\n y: 1\n properties:\n type: \"square\"\n color: \"yellow\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"square\"\n color: \"purple\"\n - position:\n x: 12\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.3877540051291066,"grid_size":{"height":3,"width":2},"id":"225d82499bcf63c1","polyshapes":"{}","puzzle_array":[["+","+","+","S","+"],["E","o-W","+","o-O","+"],["+","+","+","+","+"],["+","N","G","o-O","+"],["+","+","+","+","+"],["+","o-O","+","o-R","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":3,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1}],"pathLength":23}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 3\n y: 0\n end:\n x: 0\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 2\n y: 3\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"orange\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"red\"\n"} {"difficulty_level":1,"difficulty_score":0.287075054550843,"grid_size":{"height":2,"width":3},"id":"6717286bb4b420f6","polyshapes":"{}","puzzle_array":[["+","+",".","+","+","+","."],["+","N","+","A-R","+","N","+"],["+","+","+","+","+",".","+"],["+","N","+","N","+","N","S"],["E","+","+","G",".","+","+"]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4}],"pathLength":24},{"index":1,"path":[{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 2\n start:\n x: 6\n y: 3\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"red\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n - position:\n x: 5\n y: 2\n properties:\n dot: 1\n - position:\n x: 6\n y: 0\n properties:\n dot: 1\n"} {"difficulty_level":1,"difficulty_score":0.21396079080619634,"grid_size":{"height":2,"width":2},"id":"cd584a0c52a16fb","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","+"],[".","+",".","+","+"],["+","B-P","+","N","+"],["E","+","S","+","."]],"solution_count":2,"solutions":[{"index":0,"path":[{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":11},{"index":1,"path":[{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4}],"pathLength":15}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 2\n y: 4\n end:\n x: 0\n y: 4\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"purple\"\n - position:\n x: 2\n y: 2\n properties:\n dot: 1\n - position:\n x: 4\n y: 4\n properties:\n dot: 1\n"} {"difficulty_level":2,"difficulty_score":1.7748875334504164,"grid_size":{"height":4,"width":3},"id":"96fc153ae5995301","polyshapes":"{}","puzzle_array":[["+","+","+","+","+","+","+"],["+","N","+","o-W","+","N","G"],["+","+","+","+","+","+","+"],["E","B-W","+","N","+","o-W","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],["+","G","+","G","+",".","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","S"]],"solution_count":39,"solutions":[{"index":0,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":34},{"index":1,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":34},{"index":2,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":26},{"index":3,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":30},{"index":4,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":16},{"index":5,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":26},{"index":6,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":22},{"index":7,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":18},{"index":8,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":28},{"index":9,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":22},{"index":10,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":32},{"index":11,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":18},{"index":12,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":28},{"index":13,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":22},{"index":14,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":32},{"index":15,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":20},{"index":16,"path":[{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":5},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":26},{"index":17,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":12},{"index":18,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":22},{"index":19,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":18},{"index":20,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":18},{"index":21,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":28},{"index":22,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":22},{"index":23,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":32},{"index":24,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":14},{"index":25,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":24},{"index":26,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":18},{"index":27,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":28},{"index":28,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":34},{"index":29,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":34},{"index":30,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":30},{"index":31,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":30},{"index":32,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":16},{"index":33,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":26},{"index":34,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":30},{"index":35,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":22},{"index":36,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":26},{"index":37,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":26},{"index":38,"path":[{"x":6,"y":8},{"x":6,"y":7},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":7},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":22}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 4\n start:\n x: 6\n y: 8\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"white\"\n - position:\n x: 1\n y: 6\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 3\n y: 6\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 5\n y: 6\n properties:\n dot: 1\n - position:\n x: 6\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.292238591599003,"grid_size":{"height":3,"width":6},"id":"44d322a3010f2431","polyshapes":"{\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","G","+","+","+","+","+","+","+"],["+","o-K","+","N","+","A-B","+","N","+","N","+","o-B","G"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["E","P-K-560","+","N","+","N","+","A-K","+","N","+","A-W","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["G","o-G","+","N","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","S"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":34},{"index":1,"path":[{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":9,"y":6},{"x":8,"y":6},{"x":8,"y":5},{"x":8,"y":4},{"x":9,"y":4},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":34},{"index":2,"path":[{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":30},{"index":3,"path":[{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":10,"y":1},{"x":10,"y":0},{"x":9,"y":0},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3}],"pathLength":30}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 3\n start:\n x: 12\n y: 6\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 0\n y: 5\n properties:\n gap: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"black\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 5\n y: 0\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"triangle\"\n count: 1\n color: \"blue\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"black\"\n - position:\n x: 11\n y: 1\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"triangle\"\n count: 1\n color: \"white\"\n - position:\n x: 12\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.8210114488947993,"grid_size":{"height":5,"width":2},"id":"65417b2dd681e9c1","polyshapes":"{\"112\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,0,0,0]]}","puzzle_array":[["+",".","+","+","+"],["+","N","+","*-K","+"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","G","+"],["+","*-K","+","P-K-112","G"],["+","+","+","+","+"],["+","N","+","*-K","+"],["+","+","+","+","+"],["+","N","+","N","G"],["E","+","+","+","S"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":2,"y":9},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10}],"pathLength":29}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 4\n y: 10\n end:\n x: 0\n y: 10\n cells:\n - position:\n x: 1\n y: 0\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 112\n color: \"black\"\n - position:\n x: 3\n y: 7\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 4\n y: 5\n properties:\n gap: 1\n - position:\n x: 4\n y: 9\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.9160151604407324,"grid_size":{"height":2,"width":4},"id":"227ecc17b26ed625","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","E","+","+","+","+","+"],["+","N","+","o-G","+","N","+","N","+"],["+","+","+","G","+","+","+","+","+"],["+","P-G-48","+","N","+","N","+","N","G"],["+","+","+","+","+","+","+","+","S"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":12},{"index":1,"path":[{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":16},{"index":2,"path":[{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":7,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":7,"y":0},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":24},{"index":3,"path":[{"x":8,"y":4},{"x":7,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0},{"x":4,"y":1},{"x":4,"y":2},{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":20}],"text_visualization":"puzzle:\n dimensions:\n width: 4\n height: 2\n start:\n x: 8\n y: 4\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"green\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"square\"\n color: \"green\"\n - position:\n x: 3\n y: 2\n properties:\n gap: 1\n - position:\n x: 8\n y: 3\n properties:\n gap: 1\n"} {"difficulty_level":5,"difficulty_score":4.94949577131723,"grid_size":{"height":4,"width":6},"id":"9cf124fbc3977211","polyshapes":"{\"1808\":[[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]],\"18240\":[[0,0,1,0],[0,0,1,0],[0,1,1,1],[0,0,0,0]],\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","*-K","+","N","+","o-K","+","o-K","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","B-K","+","N","+","P-P-1808","E"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","*-K","+","o-K","+","N","+","N","+","N","+","N","+"],["+","+","+","+","+","+","+","+","+","+","+","+","+"],["+","N","+","N","+","N","+","P-P-18240","+","*-P","+","P-K-48","+"],["S","+","+","G","+","G","+","+","+","+","+","+","+"]],"solution_count":21,"solutions":[{"index":0,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":60},{"index":1,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":64},{"index":2,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":60},{"index":3,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":60},{"index":4,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":64},{"index":5,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":56},{"index":6,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":52},{"index":7,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":52},{"index":8,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":52},{"index":9,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":60},{"index":10,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":64},{"index":11,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":60},{"index":12,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":60},{"index":13,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":64},{"index":14,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":56},{"index":15,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":52},{"index":16,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":52},{"index":17,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":5},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":52},{"index":18,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":60},{"index":19,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":56},{"index":20,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":3,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":7,"y":4},{"x":8,"y":4},{"x":8,"y":5},{"x":8,"y":6},{"x":7,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":7,"y":8},{"x":8,"y":8},{"x":9,"y":8},{"x":10,"y":8},{"x":11,"y":8},{"x":12,"y":8},{"x":12,"y":7},{"x":12,"y":6},{"x":11,"y":6},{"x":10,"y":6},{"x":10,"y":5},{"x":10,"y":4},{"x":10,"y":3},{"x":10,"y":2},{"x":9,"y":2},{"x":8,"y":2},{"x":8,"y":1},{"x":8,"y":0},{"x":9,"y":0},{"x":10,"y":0},{"x":11,"y":0},{"x":12,"y":0},{"x":12,"y":1},{"x":12,"y":2},{"x":12,"y":3}],"pathLength":60}],"text_visualization":"puzzle:\n dimensions:\n width: 6\n height: 4\n start:\n x: 0\n y: 8\n end:\n x: 12\n y: 3\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 8\n properties:\n gap: 1\n - position:\n x: 5\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 5\n y: 8\n properties:\n gap: 1\n - position:\n x: 7\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 7\n y: 3\n properties:\n type: \"triangle\"\n count: 2\n color: \"black\"\n - position:\n x: 7\n y: 7\n properties:\n type: \"poly\"\n polyshape: 18240\n color: \"purple\"\n - position:\n x: 9\n y: 7\n properties:\n type: \"star\"\n color: \"purple\"\n - position:\n x: 11\n y: 3\n properties:\n type: \"poly\"\n polyshape: 1808\n color: \"purple\"\n - position:\n x: 11\n y: 7\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"black\"\n"} {"difficulty_level":3,"difficulty_score":2.9650488489577045,"grid_size":{"height":4,"width":2},"id":"1d078c743d8f1d61","polyshapes":"{\"16\":[[0,1,0,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"272\":[[0,1,1,0],[0,0,0,0],[0,0,0,0],[0,0,0,0]],\"560\":[[0,1,0,0],[0,1,1,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["E","+","+","+","+"],["+","P-Y-272","+","*-Y","+"],["+","+","+","+","+"],["+","P-Y-272","+","P-Y-16","+"],["+","+","+","+","+"],["+","*-O","+","P-W-560","+"],["+","+","+","+","+"],["+","*-O","+","N","+"],[".","+","+","+","S"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0}],"pathLength":21}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 8\n end:\n x: 0\n y: 0\n cells:\n - position:\n x: 0\n y: 8\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"yellow\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 272\n color: \"yellow\"\n - position:\n x: 1\n y: 5\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 7\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"yellow\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"poly\"\n polyshape: 16\n color: \"yellow\"\n - position:\n x: 3\n y: 5\n properties:\n type: \"poly\"\n polyshape: 560\n color: \"white\"\n"} {"difficulty_level":1,"difficulty_score":0.4135306388551885,"grid_size":{"height":4,"width":2},"id":"a4c23371c36c8274","polyshapes":"{}","puzzle_array":[["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"],["+","N","+","N","S"],["+","+","+","+","+"],["+","N","+","N","+"],["+",".","+","+","E"],["+","o-W","+","N","+"],["+","+",".","+","+"]],"solution_count":19,"solutions":[{"index":0,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":22},{"index":1,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":18},{"index":2,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":26},{"index":3,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":22},{"index":4,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":18},{"index":5,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":18},{"index":6,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":26},{"index":7,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":26},{"index":8,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":26},{"index":9,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":22},{"index":10,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":26},{"index":11,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":22},{"index":12,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":22},{"index":13,"path":[{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":22},{"index":14,"path":[{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":16},{"index":15,"path":[{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":20},{"index":16,"path":[{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":3,"y":0},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":28},{"index":17,"path":[{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":24},{"index":18,"path":[{"x":4,"y":3},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 4\n start:\n x: 4\n y: 3\n end:\n x: 4\n y: 6\n cells:\n - position:\n x: 1\n y: 6\n properties:\n dot: 1\n - position:\n x: 1\n y: 7\n properties:\n type: \"square\"\n color: \"white\"\n - position:\n x: 2\n y: 8\n properties:\n dot: 1\n"} {"difficulty_level":4,"difficulty_score":3.689587979200724,"grid_size":{"height":6,"width":3},"id":"64b43a2733ea8b0","polyshapes":"{\"240\":[[0,1,0,0],[0,1,0,0],[0,1,0,0],[0,1,0,0]]}","puzzle_array":[["+","+","+","+","E","+","+"],["+","o-K","+","N","+","N","+"],["+","+","+","+","+","+","+"],[".","N","+","N","+","*-K","+"],["+","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],[".","+","+","+","+","+","+"],["+","N","+","N","+","P-K-240","G"],["S","+","+","+","+","+","+"],["+","N","+","o-K","+","N","+"],["+","+","+","G","+","+","+"],["+","N","+","N","+","N","+"],["+","+","+","+","+","+","+"]],"solution_count":22,"solutions":[{"index":0,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":45},{"index":1,"path":[{"x":0,"y":8},{"x":1,"y":8},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":41},{"index":2,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":45},{"index":3,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":41},{"index":4,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":45},{"index":5,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":41},{"index":6,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":41},{"index":7,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":41},{"index":8,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":37},{"index":9,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":37},{"index":10,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":49},{"index":11,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":45},{"index":12,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":45},{"index":13,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":45},{"index":14,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":45},{"index":15,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":5,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":5,"y":2},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":45},{"index":16,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":5,"y":12},{"x":6,"y":12},{"x":6,"y":11},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":41},{"index":17,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":41},{"index":18,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0}],"pathLength":41},{"index":19,"path":[{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":6,"y":1},{"x":6,"y":0},{"x":5,"y":0},{"x":4,"y":0}],"pathLength":41},{"index":20,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":2,"y":11},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":41},{"index":21,"path":[{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":0,"y":11},{"x":0,"y":12},{"x":1,"y":12},{"x":2,"y":12},{"x":3,"y":12},{"x":4,"y":12},{"x":4,"y":11},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":4,"y":7},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":5,"y":4},{"x":6,"y":4},{"x":6,"y":3},{"x":6,"y":2},{"x":5,"y":2},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0},{"x":4,"y":0}],"pathLength":41}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 6\n start:\n x: 0\n y: 8\n end:\n x: 4\n y: 0\n cells:\n - position:\n x: 0\n y: 3\n properties:\n dot: 1\n - position:\n x: 0\n y: 6\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 9\n properties:\n type: \"square\"\n color: \"black\"\n - position:\n x: 3\n y: 10\n properties:\n gap: 1\n - position:\n x: 5\n y: 3\n properties:\n type: \"star\"\n color: \"black\"\n - position:\n x: 5\n y: 7\n properties:\n type: \"poly\"\n polyshape: 240\n color: \"black\"\n - position:\n x: 6\n y: 7\n properties:\n gap: 1\n"} {"difficulty_level":2,"difficulty_score":1.5594285104091292,"grid_size":{"height":5,"width":3},"id":"37655434b1874fdf","polyshapes":"{}","puzzle_array":[["+","+","S","G","+","+","+"],["+","N","+","N",".","N","+"],[".","+","+","+","+","+","+"],["+","N","+","N","+","N","+"],[".","+","+","+","+","+","+"],["+","o-B","+","N",".","N","+"],["+",".","+","+","+","+","+"],["+","N",".","N","G","N","+"],["+","+","+","+","+","+","+"],["+","o-B","+","N","+","N","E"],["+","+","+","+","+","+","+"]],"solution_count":7,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":44},{"index":1,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":46},{"index":2,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":38},{"index":3,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":40},{"index":4,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":40},{"index":5,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":1,"y":2},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":6,"y":5},{"x":6,"y":6},{"x":5,"y":6},{"x":4,"y":6},{"x":4,"y":5},{"x":4,"y":4},{"x":3,"y":4},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":5},{"x":0,"y":6},{"x":1,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":4,"y":9},{"x":4,"y":8},{"x":5,"y":8},{"x":6,"y":8},{"x":6,"y":9}],"pathLength":42},{"index":6,"path":[{"x":2,"y":0},{"x":1,"y":0},{"x":0,"y":0},{"x":0,"y":1},{"x":0,"y":2},{"x":0,"y":3},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":3,"y":2},{"x":4,"y":2},{"x":4,"y":1},{"x":4,"y":0},{"x":5,"y":0},{"x":6,"y":0},{"x":6,"y":1},{"x":6,"y":2},{"x":6,"y":3},{"x":6,"y":4},{"x":5,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":5,"y":6},{"x":6,"y":6},{"x":6,"y":7},{"x":6,"y":8},{"x":5,"y":8},{"x":4,"y":8},{"x":3,"y":8},{"x":2,"y":8},{"x":2,"y":7},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":7},{"x":0,"y":8},{"x":0,"y":9},{"x":0,"y":10},{"x":1,"y":10},{"x":2,"y":10},{"x":3,"y":10},{"x":4,"y":10},{"x":5,"y":10},{"x":6,"y":10},{"x":6,"y":9}],"pathLength":48}],"text_visualization":"puzzle:\n dimensions:\n width: 3\n height: 5\n start:\n x: 2\n y: 0\n end:\n x: 6\n y: 9\n cells:\n - position:\n x: 0\n y: 2\n properties:\n dot: 1\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 1\n y: 5\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 1\n y: 6\n properties:\n dot: 1\n - position:\n x: 1\n y: 9\n properties:\n type: \"square\"\n color: \"blue\"\n - position:\n x: 2\n y: 7\n properties:\n dot: 1\n - position:\n x: 3\n y: 0\n properties:\n gap: 1\n - position:\n x: 4\n y: 1\n properties:\n dot: 1\n - position:\n x: 4\n y: 5\n properties:\n dot: 1\n - position:\n x: 4\n y: 7\n properties:\n gap: 1\n"} {"difficulty_level":1,"difficulty_score":0.10061055764562232,"grid_size":{"height":3,"width":2},"id":"7a79f99ecc0bd399","polyshapes":"{}","puzzle_array":[["+","+",".","E","+"],["+","N","+","N","G"],["+","+","+","+","+"],["+","N",".","N","+"],[".","+","+","+","S"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":4,"solutions":[{"index":0,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":1,"y":4},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":16},{"index":1,"path":[{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":3,"y":2},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":2,"y":5},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":20},{"index":2,"path":[{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":1,"y":2},{"x":0,"y":2},{"x":0,"y":1},{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":20},{"index":3,"path":[{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":1,"y":6},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":1,"y":4},{"x":2,"y":4},{"x":2,"y":3},{"x":2,"y":2},{"x":2,"y":1},{"x":2,"y":0},{"x":3,"y":0}],"pathLength":16}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 3\n start:\n x: 4\n y: 4\n end:\n x: 3\n y: 0\n cells:\n - position:\n x: 0\n y: 4\n properties:\n dot: 1\n - position:\n x: 2\n y: 0\n properties:\n dot: 1\n - position:\n x: 2\n y: 3\n properties:\n dot: 1\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n"} {"difficulty_level":3,"difficulty_score":2.027591071174611,"grid_size":{"height":2,"width":2},"id":"fa6b6ae14dba028d","polyshapes":"{\"48\":[[0,1,0,0],[0,1,0,0],[0,0,0,0],[0,0,0,0]]}","puzzle_array":[["+","+","S","+","+"],["+","*-O","+","P-O-48","E"],["+","+","+","+","+"],["+","P-O-48","+","*-O","+"],["+","+","+","+","+"]],"solution_count":1,"solutions":[{"index":0,"path":[{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":3},{"x":4,"y":2},{"x":4,"y":1}],"pathLength":10}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 2\n start:\n x: 2\n y: 0\n end:\n x: 4\n y: 1\n cells:\n - position:\n x: 1\n y: 1\n properties:\n type: \"star\"\n color: \"orange\"\n - position:\n x: 1\n y: 3\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"orange\"\n - position:\n x: 3\n y: 1\n properties:\n type: \"poly\"\n polyshape: 48\n color: \"orange\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"star\"\n color: \"orange\"\n"} {"difficulty_level":2,"difficulty_score":1.4716188392703644,"grid_size":{"height":5,"width":2},"id":"9cd4e57e1d270f05","polyshapes":"{}","puzzle_array":[["S","+","+","+","+"],["+","o-R","+","*-R","G"],["+","+","+","+","+"],["E","N","+","o-R","G"],["+","G","+","+","+"],["+","N","+","N","+"],["+","+","+",".","+"],[".","N","+","N","G"],["+","+","+","+","+"],["+","N","+","N","+"],["+","+","+","+","+"]],"solution_count":3,"solutions":[{"index":0,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":1,"y":8},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":22},{"index":1,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":3,"y":8},{"x":4,"y":8},{"x":4,"y":9},{"x":4,"y":10},{"x":3,"y":10},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":30},{"index":2,"path":[{"x":0,"y":0},{"x":1,"y":0},{"x":2,"y":0},{"x":2,"y":1},{"x":2,"y":2},{"x":2,"y":3},{"x":2,"y":4},{"x":3,"y":4},{"x":4,"y":4},{"x":4,"y":5},{"x":4,"y":6},{"x":3,"y":6},{"x":2,"y":6},{"x":2,"y":7},{"x":2,"y":8},{"x":2,"y":9},{"x":2,"y":10},{"x":1,"y":10},{"x":0,"y":10},{"x":0,"y":9},{"x":0,"y":8},{"x":0,"y":7},{"x":0,"y":6},{"x":0,"y":5},{"x":0,"y":4},{"x":0,"y":3}],"pathLength":26}],"text_visualization":"puzzle:\n dimensions:\n width: 2\n height: 5\n start:\n x: 0\n y: 0\n end:\n x: 0\n y: 3\n cells:\n - position:\n x: 0\n y: 7\n properties:\n dot: 1\n - position:\n x: 1\n y: 1\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 1\n y: 4\n properties:\n gap: 1\n - position:\n x: 3\n y: 1\n properties:\n type: \"star\"\n color: \"red\"\n - position:\n x: 3\n y: 3\n properties:\n type: \"square\"\n color: \"red\"\n - position:\n x: 3\n y: 6\n properties:\n dot: 1\n - position:\n x: 4\n y: 1\n properties:\n gap: 1\n - position:\n x: 4\n y: 3\n properties:\n gap: 1\n - position:\n x: 4\n y: 7\n properties:\n gap: 1\n"}