diff --git "a/human_annotation/human_run_2_1.jsonl" "b/human_annotation/human_run_2_1.jsonl" new file mode 100644--- /dev/null +++ "b/human_annotation/human_run_2_1.jsonl" @@ -0,0 +1,50 @@ +{"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":1.4683504091458353,"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":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":1.801447631531656,"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":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":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":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":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":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":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":4.80113255702498,"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":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":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":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":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":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":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":3.0928129074635047,"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":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":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":1.1568457111547232,"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":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":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":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":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":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":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":1.8909334389381391,"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":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":2.5246020785279892,"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":4.99965996536008,"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":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":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":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":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":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":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":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":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":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":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":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":2.8725257447679597,"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":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":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":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":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":1.1453160638979427,"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":0.6964758473424609,"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":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"}