| [ | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at C. Bob places a black stone at H. Alice places a white stone at G. Where should Bob play next?", | |
| "solution": "E", | |
| "problem_number": 0, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at F. Bob places a black stone at E. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 1, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at G. Bob places a black stone at I. Where should Alice play next?", | |
| "solution": "D", | |
| "problem_number": 2, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at C. Bob places a black stone at E. Alice places a white stone at G. Where should Bob play next?", | |
| "solution": "H", | |
| "problem_number": 3, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at F. Bob places a black stone at H. Alice places a white stone at G. Where should Bob play next?", | |
| "solution": "E", | |
| "problem_number": 4, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at G. Bob places a black stone at F. Where should Alice play next?", | |
| "solution": "D", | |
| "problem_number": 5, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at G. Bob places a black stone at H. Where should Alice play next?", | |
| "solution": "D", | |
| "problem_number": 6, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at B. Bob places a black stone at G. Alice places a white stone at I. Where should Bob play next?", | |
| "solution": "E", | |
| "problem_number": 7, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 W \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at D. Alice places a white stone at E. Bob places a black stone at G. Where should Alice play next?", | |
| "solution": "H", | |
| "problem_number": 8, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at E. Bob places a black stone at G. Where should Alice play next?", | |
| "solution": "I", | |
| "problem_number": 9, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at D. Bob places a black stone at I. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "F", | |
| "problem_number": 10, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at F. Bob places a black stone at D. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 11, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at G. Alice places a white stone at E. Bob places a black stone at I. Where should Alice play next?", | |
| "solution": "H", | |
| "problem_number": 12, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at G. Bob places a black stone at E. Where should Alice play next?", | |
| "solution": "D", | |
| "problem_number": 13, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at B. Bob places a black stone at E. Alice places a white stone at I. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 14, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at I. Bob places a black stone at H. Where should Alice play next?", | |
| "solution": "E", | |
| "problem_number": 15, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 W \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at D. Bob places a black stone at E. Alice places a white stone at I. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 16, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at B. Bob places a black stone at E. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 17, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at D. Bob places a black stone at E. Alice places a white stone at F. Where should Bob play next?", | |
| "solution": "I", | |
| "problem_number": 18, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at C. Bob places a black stone at H. Alice places a white stone at D. Where should Bob play next?", | |
| "solution": "E", | |
| "problem_number": 19, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at B. Bob places a black stone at F. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "I", | |
| "problem_number": 20, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at D. Bob places a black stone at E. Alice places a white stone at F. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 21, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at B. Bob places a black stone at E. Alice places a white stone at F. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 22, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at D. Alice places a white stone at E. Bob places a black stone at F. Where should Alice play next?", | |
| "solution": "H", | |
| "problem_number": 23, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at I. Bob places a black stone at D. Where should Alice play next?", | |
| "solution": "E", | |
| "problem_number": 24, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at D. Bob places a black stone at E. Where should Alice play next?", | |
| "solution": "G", | |
| "problem_number": 25, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at B. Bob places a black stone at I. Alice places a white stone at E. Where should Bob play next?", | |
| "solution": "F", | |
| "problem_number": 26, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at E. Bob places a black stone at F. Alice places a white stone at G. Where should Bob play next?", | |
| "solution": "I", | |
| "problem_number": 27, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at E. Bob places a black stone at G. Where should Alice play next?", | |
| "solution": "I", | |
| "problem_number": 28, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at I. Bob places a black stone at G. Where should Alice play next?", | |
| "solution": "E", | |
| "problem_number": 29, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 W \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at E. Bob places a black stone at F. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "I", | |
| "problem_number": 30, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at E. Alice places a white stone at B. Bob places a black stone at F. Where should Alice play next?", | |
| "solution": "C", | |
| "problem_number": 31, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at E. Bob places a black stone at F. Where should Alice play next?", | |
| "solution": "I", | |
| "problem_number": 32, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at F. Alice places a white stone at B. Bob places a black stone at I. Alice places a white stone at D. Where should Bob play next?", | |
| "solution": "C", | |
| "problem_number": 33, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at E. Bob places a black stone at F. Where should Alice play next?", | |
| "solution": "H", | |
| "problem_number": 34, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at F. Alice places a white stone at E. Bob places a black stone at I. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "C", | |
| "problem_number": 35, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at F. Alice places a white stone at B. Bob places a black stone at H. Where should Alice play next?", | |
| "solution": "C", | |
| "problem_number": 36, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at D. Bob places a black stone at F. Alice places a white stone at E. Where should Bob play next?", | |
| "solution": "I", | |
| "problem_number": 37, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at D. Bob places a black stone at E. Alice places a white stone at I. Where should Bob play next?", | |
| "solution": "H", | |
| "problem_number": 38, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at D. Bob places a black stone at C. Where should Alice play next?", | |
| "solution": "G", | |
| "problem_number": 39, | |
| "is_unique_solution": true, | |
| "verdict": "win", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at E. Bob places a black stone at F. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "I", | |
| "problem_number": 40, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at D. Alice places a white stone at F. Bob places a black stone at G. Where should Alice play next?", | |
| "solution": "A", | |
| "problem_number": 41, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at D. Bob places a black stone at I. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 42, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at B. Bob places a black stone at F. Where should Alice play next?", | |
| "solution": "I", | |
| "problem_number": 43, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at F. Bob places a black stone at C. Alice places a white stone at I. Where should Bob play next?", | |
| "solution": "E", | |
| "problem_number": 44, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at D. Bob places a black stone at C. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 45, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at C. Bob places a black stone at D. Alice places a white stone at G. Where should Bob play next?", | |
| "solution": "E", | |
| "problem_number": 46, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at H. Bob places a black stone at I. Where should Alice play next?", | |
| "solution": "F", | |
| "problem_number": 47, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at D. Bob places a black stone at C. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "E", | |
| "problem_number": 48, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at F. Bob places a black stone at E. Alice places a white stone at G. Where should Bob play next?", | |
| "solution": "D", | |
| "problem_number": 49, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at F. Bob places a black stone at D. Where should Alice play next?", | |
| "solution": "G", | |
| "problem_number": 50, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at D. Bob places a black stone at F. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "E", | |
| "problem_number": 51, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at C. Bob places a black stone at E. Where should Alice play next?", | |
| "solution": "H", | |
| "problem_number": 52, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at H. Bob places a black stone at F. Where should Alice play next?", | |
| "solution": "I", | |
| "problem_number": 53, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at F. Alice places a white stone at H. Bob places a black stone at I. Where should Alice play next?", | |
| "solution": "C", | |
| "problem_number": 54, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at E. Bob places a black stone at H. Alice places a white stone at F. Where should Bob play next?", | |
| "solution": "D", | |
| "problem_number": 55, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at C. Bob places a black stone at G. Alice places a white stone at F. Where should Bob play next?", | |
| "solution": "I", | |
| "problem_number": 56, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at E. Bob places a black stone at G. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "I", | |
| "problem_number": 57, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at F. Bob places a black stone at E. Where should Alice play next?", | |
| "solution": "H", | |
| "problem_number": 58, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at B. Bob places a black stone at E. Alice places a white stone at G. Where should Bob play next?", | |
| "solution": "D", | |
| "problem_number": 59, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at H. Bob places a black stone at E. Where should Alice play next?", | |
| "solution": "G", | |
| "problem_number": 60, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at D. Bob places a black stone at F. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 61, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at D. Alice places a white stone at H. Bob places a black stone at E. Where should Alice play next?", | |
| "solution": "F", | |
| "problem_number": 62, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at E. Bob places a black stone at C. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "I", | |
| "problem_number": 63, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at B. Bob places a black stone at G. Where should Alice play next?", | |
| "solution": "E", | |
| "problem_number": 64, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at F. Bob places a black stone at I. Alice places a white stone at G. Where should Bob play next?", | |
| "solution": "D", | |
| "problem_number": 65, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at F. Bob places a black stone at G. Where should Alice play next?", | |
| "solution": "D", | |
| "problem_number": 66, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at H. Bob places a black stone at E. Alice places a white stone at I. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 67, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 W \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at F. Bob places a black stone at G. Where should Alice play next?", | |
| "solution": "E", | |
| "problem_number": 68, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at D. Bob places a black stone at F. Alice places a white stone at E. Where should Bob play next?", | |
| "solution": "H", | |
| "problem_number": 69, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at F. Bob places a black stone at I. Alice places a white stone at G. Where should Bob play next?", | |
| "solution": "D", | |
| "problem_number": 70, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at E. Alice places a white stone at B. Bob places a black stone at I. Alice places a white stone at F. Where should Bob play next?", | |
| "solution": "C", | |
| "problem_number": 71, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at F. Bob places a black stone at E. Where should Alice play next?", | |
| "solution": "G", | |
| "problem_number": 72, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at E. Alice places a white stone at F. Bob places a black stone at H. Where should Alice play next?", | |
| "solution": "B", | |
| "problem_number": 73, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at F. Bob places a black stone at I. Where should Alice play next?", | |
| "solution": "E", | |
| "problem_number": 74, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at F. Bob places a black stone at E. Where should Alice play next?", | |
| "solution": "I", | |
| "problem_number": 75, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at E. Bob places a black stone at I. Where should Alice play next?", | |
| "solution": "F", | |
| "problem_number": 76, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at D. Bob places a black stone at C. Alice places a white stone at F. Where should Bob play next?", | |
| "solution": "E", | |
| "problem_number": 77, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at F. Bob places a black stone at H. Where should Alice play next?", | |
| "solution": "E", | |
| "problem_number": 78, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at I. Bob places a black stone at E. Where should Alice play next?", | |
| "solution": "G", | |
| "problem_number": 79, | |
| "is_unique_solution": true, | |
| "verdict": "blocked", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at H. Bob places a black stone at E. Where should Alice play next?", | |
| "solution": "G", | |
| "problem_number": 80, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at D. Alice places a white stone at F. Bob places a black stone at E. Alice places a white stone at H. Where should Bob play next?", | |
| "solution": "A, G", | |
| "problem_number": 81, | |
| "is_unique_solution": false, | |
| "verdict": "fork", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at F. Bob places a black stone at C. Where should Alice play next?", | |
| "solution": "D, E", | |
| "problem_number": 82, | |
| "is_unique_solution": false, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at F. Bob places a black stone at D. Where should Alice play next?", | |
| "solution": "I", | |
| "problem_number": 83, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at H. Bob places a black stone at F. Where should Alice play next?", | |
| "solution": "G, I", | |
| "problem_number": 84, | |
| "is_unique_solution": false, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at C. Bob places a black stone at D. Where should Alice play next?", | |
| "solution": "E, I", | |
| "problem_number": 85, | |
| "is_unique_solution": false, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at F. Bob places a black stone at I. Where should Alice play next?", | |
| "solution": "D", | |
| "problem_number": 86, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at F. Bob places a black stone at H. Where should Alice play next?", | |
| "solution": "D, E", | |
| "problem_number": 87, | |
| "is_unique_solution": false, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 . \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at H. Bob places a black stone at C. Where should Alice play next?", | |
| "solution": "G, I", | |
| "problem_number": 88, | |
| "is_unique_solution": false, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at D. Alice places a white stone at F. Bob places a black stone at E. Where should Alice play next?", | |
| "solution": "C", | |
| "problem_number": 89, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at A. Alice places a white stone at D. Bob places a black stone at C. Where should Alice play next?", | |
| "solution": "E", | |
| "problem_number": 90, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 B \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at D. Alice places a white stone at F. Bob places a black stone at H. Where should Alice play next?", | |
| "solution": "C", | |
| "problem_number": 91, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at F. Bob places a black stone at I. Where should Alice play next?", | |
| "solution": "D", | |
| "problem_number": 92, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at D. Alice places a white stone at E. Bob places a black stone at H. Alice places a white stone at F. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 93, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 W \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at B. Bob places a black stone at H. Alice places a white stone at F. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 94, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at C. Alice places a white stone at B. Bob places a black stone at I. Alice places a white stone at F. Where should Bob play next?", | |
| "solution": "G", | |
| "problem_number": 95, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 W \u2502 B \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at B. Bob places a black stone at D. Alice places a white stone at E. Bob places a black stone at H. Where should Alice play next?", | |
| "solution": "A, C", | |
| "problem_number": 96, | |
| "is_unique_solution": false, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 B \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at E. Bob places a black stone at I. Where should Alice play next?", | |
| "solution": "D, G", | |
| "problem_number": 97, | |
| "is_unique_solution": false, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 W \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 B \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at F. Bob places a black stone at G. Where should Alice play next?", | |
| "solution": "E, I", | |
| "problem_number": 98, | |
| "is_unique_solution": false, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at C. Bob places a black stone at G. Alice places a white stone at D. Where should Bob play next?", | |
| "solution": "H", | |
| "problem_number": 99, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Bob", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at D. Bob places a black stone at G. Where should Alice play next?", | |
| "solution": "E", | |
| "problem_number": 100, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 W \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| }, | |
| { | |
| "problem": "Alice and Bob are playing a game on a 3x3 grid. The points on the grid are labeled top to bottom, left to right, as A,B,C,D,E,F,G,H,I. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the positions that have not been occupied. Whoever has three stones in a line (horizontal, vertical, or diagonal) wins. Alice first places a white stone at A. Bob places a black stone at B. Alice places a white stone at C. Bob places a black stone at G. Where should Alice play next?", | |
| "solution": "I", | |
| "problem_number": 101, | |
| "is_unique_solution": true, | |
| "verdict": "fork", | |
| "next_player": "Alice", | |
| "currect_board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n\u2502 W \u2502 B \u2502 W \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 . \u2502 . \u2502 . \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n\u2502 B \u2502 . \u2502 . \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518\n", | |
| "board_visualization": "\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2510\n| A | B | C |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| D | E | F |\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2524\n| G | H | I |\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2518" | |
| } | |
| ] |