|
[ |
|
{ |
|
"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" |
|
} |
|
] |