Datasets:

prpigitcse
/

tic-tac-toe-legal-distinct-move

game_id int64 1 255k	step int64 1 9	player stringclasses 2 values	board_state stringclasses 958 values	next_move int64 0 8	result stringclasses 3 values	board_state_str stringlengths 17 17	symmetry_id int64 -9,166,096,179,686,733,000 9,175,952,493B
1	1	X	[1, -1, 1, -1, 1, -1, 1, 0, 0]	0	X Win	_,_,_,_,_,_,_,_,_	-4,789,650,463,397,059,000
1	2	O	[1, -1, 1, -1, 1, -1, 1, 0, 0]	1	X Win	X,_,_,_,_,_,_,_,_	8,764,019,581,339,796,000
1	3	X	[1, -1, 1, -1, 1, -1, 1, 0, 0]	2	X Win	X,O,_,_,_,_,_,_,_	-3,984,198,204,919,492,600
1	4	O	[1, -1, 1, -1, 1, -1, 1, 0, 0]	3	X Win	X,O,X,_,_,_,_,_,_	-5,142,442,633,845,408,000
1	5	X	[1, -1, 1, -1, 1, -1, 1, 0, 0]	4	X Win	X,O,X,O,_,_,_,_,_	-62,095,360,193,769,590
1	6	O	[1, -1, 1, -1, 1, -1, 1, 0, 0]	5	X Win	X,O,X,O,X,_,_,_,_	-4,089,607,504,984,152,600
1	7	X	[1, -1, 1, -1, 1, -1, 1, 0, 0]	6	X Win	X,O,X,O,X,O,_,_,_	1,213,470,565,693,434,000
2	1	X	[1, -1, 1, -1, 1, -1, -1, 1, 1]	0	X Win	_,_,_,_,_,_,_,_,_	-4,789,650,463,397,059,000
2	2	O	[1, -1, 1, -1, 1, -1, -1, 1, 1]	1	X Win	X,_,_,_,_,_,_,_,_	8,764,019,581,339,796,000
2	3	X	[1, -1, 1, -1, 1, -1, -1, 1, 1]	2	X Win	X,O,_,_,_,_,_,_,_	-3,984,198,204,919,492,600
2	4	O	[1, -1, 1, -1, 1, -1, -1, 1, 1]	3	X Win	X,O,X,_,_,_,_,_,_	-5,142,442,633,845,408,000
2	5	X	[1, -1, 1, -1, 1, -1, -1, 1, 1]	4	X Win	X,O,X,O,_,_,_,_,_	-62,095,360,193,769,590
2	6	O	[1, -1, 1, -1, 1, -1, -1, 1, 1]	5	X Win	X,O,X,O,X,_,_,_,_	-4,089,607,504,984,152,600
2	7	X	[1, -1, 1, -1, 1, -1, -1, 1, 1]	7	X Win	X,O,X,O,X,O,_,_,_	1,213,470,565,693,434,000
2	8	O	[1, -1, 1, -1, 1, -1, -1, 1, 1]	6	X Win	X,O,X,O,X,O,_,X,_	-7,683,563,849,696,370,000
2	9	X	[1, -1, 1, -1, 1, -1, -1, 1, 1]	8	X Win	X,O,X,O,X,O,O,X,_	7,136,353,483,625,652,000
3	1	X	[1, -1, 1, -1, 1, -1, 1, 1, -1]	0	X Win	_,_,_,_,_,_,_,_,_	-4,789,650,463,397,059,000
3	2	O	[1, -1, 1, -1, 1, -1, 1, 1, -1]	1	X Win	X,_,_,_,_,_,_,_,_	8,764,019,581,339,796,000
3	3	X	[1, -1, 1, -1, 1, -1, 1, 1, -1]	2	X Win	X,O,_,_,_,_,_,_,_	-3,984,198,204,919,492,600
3	4	O	[1, -1, 1, -1, 1, -1, 1, 1, -1]	3	X Win	X,O,X,_,_,_,_,_,_	-5,142,442,633,845,408,000
3	5	X	[1, -1, 1, -1, 1, -1, 1, 1, -1]	4	X Win	X,O,X,O,_,_,_,_,_	-62,095,360,193,769,590
3	6	O	[1, -1, 1, -1, 1, -1, 1, 1, -1]	5	X Win	X,O,X,O,X,_,_,_,_	-4,089,607,504,984,152,600
3	7	X	[1, -1, 1, -1, 1, -1, 1, 1, -1]	7	X Win	X,O,X,O,X,O,_,_,_	1,213,470,565,693,434,000
3	8	O	[1, -1, 1, -1, 1, -1, 1, 1, -1]	8	X Win	X,O,X,O,X,O,_,X,_	-7,683,563,849,696,370,000
3	9	X	[1, -1, 1, -1, 1, -1, 1, 1, -1]	6	X Win	X,O,X,O,X,O,_,X,O	7,136,353,483,625,652,000
4	1	X	[1, -1, 1, -1, 1, -1, 0, 0, 1]	0	X Win	_,_,_,_,_,_,_,_,_	-4,789,650,463,397,059,000
4	2	O	[1, -1, 1, -1, 1, -1, 0, 0, 1]	1	X Win	X,_,_,_,_,_,_,_,_	8,764,019,581,339,796,000
4	3	X	[1, -1, 1, -1, 1, -1, 0, 0, 1]	2	X Win	X,O,_,_,_,_,_,_,_	-3,984,198,204,919,492,600
4	4	O	[1, -1, 1, -1, 1, -1, 0, 0, 1]	3	X Win	X,O,X,_,_,_,_,_,_	-5,142,442,633,845,408,000
4	5	X	[1, -1, 1, -1, 1, -1, 0, 0, 1]	4	X Win	X,O,X,O,_,_,_,_,_	-62,095,360,193,769,590
4	6	O	[1, -1, 1, -1, 1, -1, 0, 0, 1]	5	X Win	X,O,X,O,X,_,_,_,_	-4,089,607,504,984,152,600
4	7	X	[1, -1, 1, -1, 1, -1, 0, 0, 1]	8	X Win	X,O,X,O,X,O,_,_,_	1,213,470,565,693,434,000
5	1	X	[1, -1, 1, -1, 1, 1, -1, -1, 1]	0	X Win	_,_,_,_,_,_,_,_,_	-4,789,650,463,397,059,000
5	2	O	[1, -1, 1, -1, 1, 1, -1, -1, 1]	1	X Win	X,_,_,_,_,_,_,_,_	8,764,019,581,339,796,000
5	3	X	[1, -1, 1, -1, 1, 1, -1, -1, 1]	2	X Win	X,O,_,_,_,_,_,_,_	-3,984,198,204,919,492,600
5	4	O	[1, -1, 1, -1, 1, 1, -1, -1, 1]	3	X Win	X,O,X,_,_,_,_,_,_	-5,142,442,633,845,408,000
5	5	X	[1, -1, 1, -1, 1, 1, -1, -1, 1]	4	X Win	X,O,X,O,_,_,_,_,_	-62,095,360,193,769,590
5	6	O	[1, -1, 1, -1, 1, 1, -1, -1, 1]	6	X Win	X,O,X,O,X,_,_,_,_	-4,089,607,504,984,152,600
5	7	X	[1, -1, 1, -1, 1, 1, -1, -1, 1]	5	X Win	X,O,X,O,X,_,O,_,_	1,751,880,898,962,023,000
5	8	O	[1, -1, 1, -1, 1, 1, -1, -1, 1]	7	X Win	X,O,X,O,X,X,O,_,_	-6,844,714,522,783,141,000
5	9	X	[1, -1, 1, -1, 1, 1, -1, -1, 1]	8	X Win	X,O,X,O,X,X,O,O,_	-6,072,827,326,315,233,000
6	1	X	[1, -1, 1, -1, 1, 1, -1, 1, -1]	0	Draw	_,_,_,_,_,_,_,_,_	-4,789,650,463,397,059,000
6	2	O	[1, -1, 1, -1, 1, 1, -1, 1, -1]	1	Draw	X,_,_,_,_,_,_,_,_	8,764,019,581,339,796,000
6	3	X	[1, -1, 1, -1, 1, 1, -1, 1, -1]	2	Draw	X,O,_,_,_,_,_,_,_	-3,984,198,204,919,492,600
6	4	O	[1, -1, 1, -1, 1, 1, -1, 1, -1]	3	Draw	X,O,X,_,_,_,_,_,_	-5,142,442,633,845,408,000
6	5	X	[1, -1, 1, -1, 1, 1, -1, 1, -1]	4	Draw	X,O,X,O,_,_,_,_,_	-62,095,360,193,769,590
6	6	O	[1, -1, 1, -1, 1, 1, -1, 1, -1]	6	Draw	X,O,X,O,X,_,_,_,_	-4,089,607,504,984,152,600
6	7	X	[1, -1, 1, -1, 1, 1, -1, 1, -1]	5	Draw	X,O,X,O,X,_,O,_,_	1,751,880,898,962,023,000
6	8	O	[1, -1, 1, -1, 1, 1, -1, 1, -1]	8	Draw	X,O,X,O,X,X,O,_,_	-6,844,714,522,783,141,000
6	9	X	[1, -1, 1, -1, 1, 1, -1, 1, -1]	7	Draw	X,O,X,O,X,X,O,_,O	4,439,836,180,176,822,300
7	1	X	[1, -1, 1, -1, 1, -1, -1, 1, 1]	0	X Win	_,_,_,_,_,_,_,_,_	-4,789,650,463,397,059,000
7	2	O	[1, -1, 1, -1, 1, -1, -1, 1, 1]	1	X Win	X,_,_,_,_,_,_,_,_	8,764,019,581,339,796,000
7	3	X	[1, -1, 1, -1, 1, -1, -1, 1, 1]	2	X Win	X,O,_,_,_,_,_,_,_	-3,984,198,204,919,492,600
7	4	O	[1, -1, 1, -1, 1, -1, -1, 1, 1]	3	X Win	X,O,X,_,_,_,_,_,_	-5,142,442,633,845,408,000
7	5	X	[1, -1, 1, -1, 1, -1, -1, 1, 1]	4	X Win	X,O,X,O,_,_,_,_,_	-62,095,360,193,769,590
7	6	O	[1, -1, 1, -1, 1, -1, -1, 1, 1]	6	X Win	X,O,X,O,X,_,_,_,_	-4,089,607,504,984,152,600
7	7	X	[1, -1, 1, -1, 1, -1, -1, 1, 1]	7	X Win	X,O,X,O,X,_,O,_,_	1,751,880,898,962,023,000
7	8	O	[1, -1, 1, -1, 1, -1, -1, 1, 1]	5	X Win	X,O,X,O,X,_,O,X,_	-3,897,299,784,859,757,000
7	9	X	[1, -1, 1, -1, 1, -1, -1, 1, 1]	8	X Win	X,O,X,O,X,O,O,X,_	7,136,353,483,625,652,000
8	1	X	[1, -1, 1, -1, 1, 1, -1, 1, -1]	0	Draw	_,_,_,_,_,_,_,_,_	-4,789,650,463,397,059,000
8	2	O	[1, -1, 1, -1, 1, 1, -1, 1, -1]	1	Draw	X,_,_,_,_,_,_,_,_	8,764,019,581,339,796,000
8	3	X	[1, -1, 1, -1, 1, 1, -1, 1, -1]	2	Draw	X,O,_,_,_,_,_,_,_	-3,984,198,204,919,492,600
8	4	O	[1, -1, 1, -1, 1, 1, -1, 1, -1]	3	Draw	X,O,X,_,_,_,_,_,_	-5,142,442,633,845,408,000
8	5	X	[1, -1, 1, -1, 1, 1, -1, 1, -1]	4	Draw	X,O,X,O,_,_,_,_,_	-62,095,360,193,769,590
8	6	O	[1, -1, 1, -1, 1, 1, -1, 1, -1]	6	Draw	X,O,X,O,X,_,_,_,_	-4,089,607,504,984,152,600
8	7	X	[1, -1, 1, -1, 1, 1, -1, 1, -1]	7	Draw	X,O,X,O,X,_,O,_,_	1,751,880,898,962,023,000
8	8	O	[1, -1, 1, -1, 1, 1, -1, 1, -1]	8	Draw	X,O,X,O,X,_,O,X,_	-3,897,299,784,859,757,000
8	9	X	[1, -1, 1, -1, 1, 1, -1, 1, -1]	5	Draw	X,O,X,O,X,_,O,X,O	4,813,391,190,139,196,000
9	1	X	[1, -1, 1, -1, 1, 0, -1, 0, 1]	0	X Win	_,_,_,_,_,_,_,_,_	-4,789,650,463,397,059,000
9	2	O	[1, -1, 1, -1, 1, 0, -1, 0, 1]	1	X Win	X,_,_,_,_,_,_,_,_	8,764,019,581,339,796,000
9	3	X	[1, -1, 1, -1, 1, 0, -1, 0, 1]	2	X Win	X,O,_,_,_,_,_,_,_	-3,984,198,204,919,492,600
9	4	O	[1, -1, 1, -1, 1, 0, -1, 0, 1]	3	X Win	X,O,X,_,_,_,_,_,_	-5,142,442,633,845,408,000
9	5	X	[1, -1, 1, -1, 1, 0, -1, 0, 1]	4	X Win	X,O,X,O,_,_,_,_,_	-62,095,360,193,769,590
9	6	O	[1, -1, 1, -1, 1, 0, -1, 0, 1]	6	X Win	X,O,X,O,X,_,_,_,_	-4,089,607,504,984,152,600
9	7	X	[1, -1, 1, -1, 1, 0, -1, 0, 1]	8	X Win	X,O,X,O,X,_,O,_,_	1,751,880,898,962,023,000
10	1	X	[1, -1, 1, -1, 1, 1, -1, -1, 1]	0	X Win	_,_,_,_,_,_,_,_,_	-4,789,650,463,397,059,000
10	2	O	[1, -1, 1, -1, 1, 1, -1, -1, 1]	1	X Win	X,_,_,_,_,_,_,_,_	8,764,019,581,339,796,000
10	3	X	[1, -1, 1, -1, 1, 1, -1, -1, 1]	2	X Win	X,O,_,_,_,_,_,_,_	-3,984,198,204,919,492,600
10	4	O	[1, -1, 1, -1, 1, 1, -1, -1, 1]	3	X Win	X,O,X,_,_,_,_,_,_	-5,142,442,633,845,408,000
10	5	X	[1, -1, 1, -1, 1, 1, -1, -1, 1]	4	X Win	X,O,X,O,_,_,_,_,_	-62,095,360,193,769,590
10	6	O	[1, -1, 1, -1, 1, 1, -1, -1, 1]	7	X Win	X,O,X,O,X,_,_,_,_	-4,089,607,504,984,152,600
10	7	X	[1, -1, 1, -1, 1, 1, -1, -1, 1]	5	X Win	X,O,X,O,X,_,_,O,_	-3,162,896,372,339,483,000
10	8	O	[1, -1, 1, -1, 1, 1, -1, -1, 1]	6	X Win	X,O,X,O,X,X,_,O,_	-8,782,887,750,190,199,000
10	9	X	[1, -1, 1, -1, 1, 1, -1, -1, 1]	8	X Win	X,O,X,O,X,X,O,O,_	-6,072,827,326,315,233,000
11	1	X	[1, -1, 1, -1, 1, 1, 1, -1, -1]	0	X Win	_,_,_,_,_,_,_,_,_	-4,789,650,463,397,059,000
11	2	O	[1, -1, 1, -1, 1, 1, 1, -1, -1]	1	X Win	X,_,_,_,_,_,_,_,_	8,764,019,581,339,796,000
11	3	X	[1, -1, 1, -1, 1, 1, 1, -1, -1]	2	X Win	X,O,_,_,_,_,_,_,_	-3,984,198,204,919,492,600
11	4	O	[1, -1, 1, -1, 1, 1, 1, -1, -1]	3	X Win	X,O,X,_,_,_,_,_,_	-5,142,442,633,845,408,000
11	5	X	[1, -1, 1, -1, 1, 1, 1, -1, -1]	4	X Win	X,O,X,O,_,_,_,_,_	-62,095,360,193,769,590
11	6	O	[1, -1, 1, -1, 1, 1, 1, -1, -1]	7	X Win	X,O,X,O,X,_,_,_,_	-4,089,607,504,984,152,600
11	7	X	[1, -1, 1, -1, 1, 1, 1, -1, -1]	5	X Win	X,O,X,O,X,_,_,O,_	-3,162,896,372,339,483,000
11	8	O	[1, -1, 1, -1, 1, 1, 1, -1, -1]	8	X Win	X,O,X,O,X,X,_,O,_	-8,782,887,750,190,199,000
11	9	X	[1, -1, 1, -1, 1, 1, 1, -1, -1]	6	X Win	X,O,X,O,X,X,_,O,O	6,996,013,776,137,158,000
12	1	X	[1, -1, 1, -1, 1, 0, 1, -1, 0]	0	X Win	_,_,_,_,_,_,_,_,_	-4,789,650,463,397,059,000
12	2	O	[1, -1, 1, -1, 1, 0, 1, -1, 0]	1	X Win	X,_,_,_,_,_,_,_,_	8,764,019,581,339,796,000
12	3	X	[1, -1, 1, -1, 1, 0, 1, -1, 0]	2	X Win	X,O,_,_,_,_,_,_,_	-3,984,198,204,919,492,600
12	4	O	[1, -1, 1, -1, 1, 0, 1, -1, 0]	3	X Win	X,O,X,_,_,_,_,_,_	-5,142,442,633,845,408,000
12	5	X	[1, -1, 1, -1, 1, 0, 1, -1, 0]	4	X Win	X,O,X,O,_,_,_,_,_	-62,095,360,193,769,590
12	6	O	[1, -1, 1, -1, 1, 0, 1, -1, 0]	7	X Win	X,O,X,O,X,_,_,_,_	-4,089,607,504,984,152,600
12	7	X	[1, -1, 1, -1, 1, 0, 1, -1, 0]	6	X Win	X,O,X,O,X,_,_,O,_	-3,162,896,372,339,483,000

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🧠 Tic-Tac-Toe Distinct Legal Move Dataset

📘 Overview

This dataset contains all possible legal Tic-Tac-Toe game sequences — that is, every unique path through the complete game tree (about 255,168 distinct sequences) from start to finish.

Each row represents one move in one possible game, with metadata like:

Which player made the move
The board state before the move
The move position
The final game result (Win/Loss/Draw)
A symmetry_id that groups equivalent boards under rotations and reflections

This dataset can be used for machine learning experiments, game theory analysis, or reinforcement learning training.

🧩 Dataset Structure

Column	Description
`game_id`	Unique identifier for each full game sequence
`step`	Step number within the game (1–9)
`player`	`X` or `O` — the player who made the move
`board_state`	The board represented as a 9-element list (1 = X, -1 = O, 0 = Empty)
`next_move`	The index (0–8) of the next move in the flattened 3×3 grid
`result`	The final outcome of the game (`X Win`, `O Win`, or `Draw`)
`board_state_str`	Human-readable board string (e.g., `X,_,_,O,_,_,_,_,_`)
`symmetry_id`	A hash of the canonical form of the board after accounting for rotations/reflections

🔍 Example

game_id	step	player	board_state	next_move	result	board_state_str	symmetry_id
1	1	X	`[0,0,0,0,0,0,0,0,0]`	0	X Win	`_,_,_,_,_,_,_,_,_`	812347823
1	2	O	`[1,0,0,0,0,0,0,0,0]`	4	X Win	`X,_,_,_,_,_,_,_,_`	982734987
1	3	X	`[1,0,0,0,-1,0,0,0,0]`	8	X Win	`X,_,_,_,O,_,_,_,_`	123459812

🧮 Data Generation Logic

The dataset was programmatically generated by exploring the complete Tic-Tac-Toe game tree using recursive backtracking in Python.

Key features:

Symmetry normalization: Boards that are identical under rotation/reflection are reduced to a single canonical form.
Comprehensive coverage: Every legal sequence is included.
Direct serialization: Each move is written as a CSV row for efficient analysis.

Downloads last month: 38

Size of downloaded dataset files:

195 MB

Size of the auto-converted Parquet files:

14.8 MB

Number of rows:

2,106,288