[ { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at F. Then Bob places a black stone at D. Then Alice places a white stone at L. Then Bob places a black stone at W. Where should Alice play next?", "solution": "H", "problem_number": 0, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " B W _ B _ \n W _ _ _ _ \n _ W _ _ _ \n _ _ _ _ _ \n _ _ B _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at D. Then Bob places a black stone at A. Then Alice places a white stone at H. Then Bob places a black stone at B. Then Alice places a white stone at N. Then Bob places a black stone at X. Where should Alice play next?", "solution": "J", "problem_number": 1, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " B B _ W _ \n _ _ W _ _ \n _ _ _ W _ \n _ _ _ _ _ \n _ _ _ B _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at E. Then Alice places a white stone at B. Then Bob places a black stone at O. Then Alice places a white stone at F. Then Bob places a black stone at W. Where should Alice play next?", "solution": "G", "problem_number": 2, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " W W _ _ B \n W _ _ _ _ \n _ _ _ _ B \n _ _ _ _ _ \n _ _ B _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at H. Then Alice places a white stone at B. Then Bob places a black stone at N. Then Alice places a white stone at F. Then Bob places a black stone at S. Where should Alice play next?", "solution": "G", "problem_number": 3, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " W W _ _ _ \n W _ B _ _ \n _ _ _ B _ \n _ _ _ B _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at E. Then Alice places a white stone at B. Then Bob places a black stone at K. Then Alice places a white stone at F. Then Bob places a black stone at U. Where should Alice play next?", "solution": "G", "problem_number": 4, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " W W _ _ B \n W _ _ _ _ \n B _ _ _ _ \n _ _ _ _ _ \n B _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at B. Then Bob places a black stone at V. Then Alice places a white stone at G. Then Bob places a black stone at Y. Where should Alice play next?", "solution": "F", "problem_number": 5, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " W W _ B _ \n _ W _ _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n _ B _ _ B \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at H. Then Alice places a white stone at B. Then Bob places a black stone at L. Then Alice places a white stone at F. Then Bob places a black stone at X. Where should Alice play next?", "solution": "G", "problem_number": 6, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " W W _ _ _ \n W _ B _ _ \n _ B _ _ _ \n _ _ _ _ _ \n _ _ _ B _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at M. Then Alice places a white stone at B. Then Bob places a black stone at T. Then Alice places a white stone at F. Then Bob places a black stone at X. Where should Alice play next?", "solution": "G", "problem_number": 7, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " W W _ _ _ \n W _ _ _ _ \n _ _ B _ _ \n _ _ _ _ B \n _ _ _ B _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at M. Then Alice places a white stone at F. Then Bob places a black stone at S. Where should Alice play next?", "solution": "G", "problem_number": 8, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " W W B _ _ \n W _ _ _ _ \n _ _ B _ _ \n _ _ _ B _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at F. Then Bob places a black stone at P. Then Alice places a white stone at H. Then Bob places a black stone at R. Where should Alice play next?", "solution": "L", "problem_number": 9, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " B W _ _ _ \n W _ W _ _ \n _ _ _ _ _ \n B _ B _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at M. Then Alice places a white stone at B. Then Bob places a black stone at Q. Then Alice places a white stone at F. Then Bob places a black stone at T. Where should Alice play next?", "solution": "G", "problem_number": 10, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " W W _ _ _ \n W _ _ _ _ \n _ _ B _ _ \n _ B _ _ B \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at P. Then Alice places a white stone at F. Then Bob places a black stone at V. Where should Alice play next?", "solution": "G", "problem_number": 11, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " W W B _ _ \n W _ _ _ _ \n _ _ _ _ _ \n B _ _ _ _ \n _ B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at K. Then Alice places a white stone at B. Then Bob places a black stone at W. Then Alice places a white stone at F. Then Bob places a black stone at Y. Where should Alice play next?", "solution": "G", "problem_number": 12, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " W W _ _ _ \n W _ _ _ _ \n B _ _ _ _ \n _ _ _ _ _ \n _ _ B _ B \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at B. Then Bob places a black stone at O. Then Alice places a white stone at F. Then Bob places a black stone at Y. Where should Alice play next?", "solution": "G", "problem_number": 13, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " W W _ B _ \n W _ _ _ _ \n _ _ _ _ B \n _ _ _ _ _ \n _ _ _ _ B \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at S. Then Alice places a white stone at F. Then Bob places a black stone at U. Where should Alice play next?", "solution": "G", "problem_number": 14, "is_unique_solution": true, "verdict": "win", "next_player": "Alice", "currect_board_visualization": " W W B _ _ \n W _ _ _ _ \n _ _ _ _ _ \n _ _ _ B _ \n B _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at B. Then Bob places a black stone at N. Then Alice places a white stone at L. Then Bob places a black stone at R. Where should Alice play next?", "solution": "F", "problem_number": 15, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " W W _ B _ \n _ _ _ _ _ \n _ W _ B _ \n _ _ B _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at G. Then Bob places a black stone at E. Then Alice places a white stone at I. Then Bob places a black stone at F. Where should Alice play next?", "solution": "C", "problem_number": 16, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W _ _ B \n B W _ W _ \n _ _ _ _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at K. Then Alice places a white stone at H. Then Bob places a black stone at U. Where should Alice play next?", "solution": "F", "problem_number": 17, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " W W B _ _ \n _ _ W _ _ \n B _ _ _ _ \n _ _ _ _ _ \n B _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at C. Then Bob places a black stone at T. Then Alice places a white stone at M. Then Bob places a black stone at V. Where should Alice play next?", "solution": "G", "problem_number": 18, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W W _ _ \n _ _ _ _ _ \n _ _ W _ _ \n _ _ _ _ B \n _ B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at L. Then Bob places a black stone at D. Then Alice places a white stone at N. Then Bob places a black stone at W. Where should Alice play next?", "solution": "H", "problem_number": 19, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W _ B _ \n _ _ _ _ _ \n _ W _ W _ \n _ _ _ _ _ \n _ _ B _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at C. Then Bob places a black stone at E. Then Alice places a white stone at M. Then Bob places a black stone at L. Where should Alice play next?", "solution": "G", "problem_number": 20, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W W _ B \n _ _ _ _ _ \n _ B W _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at G. Then Bob places a black stone at C. Then Alice places a white stone at H. Then Bob places a black stone at J. Where should Alice play next?", "solution": "L", "problem_number": 21, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W B _ _ \n _ W W _ B \n _ _ _ _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at L. Then Bob places a black stone at D. Then Alice places a white stone at R. Then Bob places a black stone at E. Where should Alice play next?", "solution": "H", "problem_number": 22, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W _ B B \n _ _ _ _ _ \n _ W _ _ _ \n _ _ W _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at C. Then Bob places a black stone at E. Then Alice places a white stone at F. Then Bob places a black stone at K. Where should Alice play next?", "solution": "H", "problem_number": 23, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W W _ B \n W _ _ _ _ \n B _ _ _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at H. Then Bob places a black stone at A. Then Alice places a white stone at K. Then Bob places a black stone at B. Then Alice places a white stone at M. Then Bob places a black stone at E. Where should Alice play next?", "solution": "G", "problem_number": 24, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B B _ _ B \n _ _ W _ _ \n W _ W _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at C. Then Bob places a black stone at N. Then Alice places a white stone at L. Then Bob places a black stone at Q. Where should Alice play next?", "solution": "H", "problem_number": 25, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W W _ _ \n _ _ _ _ _ \n _ W _ B _ \n _ B _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at G. Then Bob places a black stone at B. Then Alice places a white stone at L. Then Bob places a black stone at Y. Where should Alice play next?", "solution": "M", "problem_number": 26, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B B W _ _ \n _ W _ _ _ \n _ W _ _ _ \n _ _ _ _ _ \n _ _ _ _ B \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at B. Then Bob places a black stone at J. Then Alice places a white stone at L. Then Bob places a black stone at X. Where should Alice play next?", "solution": "F", "problem_number": 27, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " W W _ B _ \n _ _ _ _ B \n _ W _ _ _ \n _ _ _ _ _ \n _ _ _ B _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at M. Then Alice places a white stone at H. Then Bob places a black stone at W. Where should Alice play next?", "solution": "F", "problem_number": 28, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " W W B _ _ \n _ _ W _ _ \n _ _ B _ _ \n _ _ _ _ _ \n _ _ B _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at C. Then Bob places a black stone at D. Then Alice places a white stone at I. Then Bob places a black stone at O. Where should Alice play next?", "solution": "G", "problem_number": 29, "is_unique_solution": true, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W W B _ \n _ _ _ W _ \n _ _ _ _ B \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at K. Then Bob places a black stone at A. Then Alice places a white stone at U. Then Bob places a black stone at B. Then Alice places a white stone at X. Then Bob places a black stone at F. Where should Alice play next?", "solution": "G", "problem_number": 30, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " B B _ _ _ \n B _ _ _ _ \n W _ _ _ _ \n _ _ _ _ _ \n W _ _ W _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at E. Then Bob places a black stone at A. Then Alice places a white stone at L. Then Bob places a black stone at B. Then Alice places a white stone at Y. Then Bob places a black stone at G. Where should Alice play next?", "solution": "F", "problem_number": 31, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " B B _ _ W \n _ B _ _ _ \n _ W _ _ _ \n _ _ _ _ _ \n _ _ _ _ W \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at F. Then Bob places a black stone at C. Then Alice places a white stone at Q. Then Bob places a black stone at G. Where should Alice play next?", "solution": "H", "problem_number": 32, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " W B B _ _ \n W B _ _ _ \n _ _ _ _ _ \n _ W _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at I. Then Bob places a black stone at B. Then Alice places a white stone at J. Then Bob places a black stone at G. Where should Alice play next?", "solution": "F", "problem_number": 33, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " B B W _ _ \n _ B _ W W \n _ _ _ _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at E. Then Bob places a black stone at A. Then Alice places a white stone at S. Then Bob places a black stone at B. Then Alice places a white stone at V. Then Bob places a black stone at G. Where should Alice play next?", "solution": "F", "problem_number": 34, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " B B _ _ W \n _ B _ _ _ \n _ _ _ _ _ \n _ _ _ W _ \n _ W _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at N. Then Bob places a black stone at A. Then Alice places a white stone at W. Then Bob places a black stone at B. Then Alice places a white stone at Y. Then Bob places a black stone at F. Where should Alice play next?", "solution": "G", "problem_number": 35, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " B B _ _ _ \n B _ _ _ _ \n _ _ _ W _ \n _ _ _ _ _ \n _ _ W _ W \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at L. Then Alice places a white stone at B. Then Bob places a black stone at P. Then Alice places a white stone at D. Then Bob places a black stone at V. Where should Alice play next?", "solution": "R", "problem_number": 36, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " W W _ W _ \n _ _ _ _ _ \n _ B _ _ _ \n B _ _ _ _ \n _ B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at I. Then Alice places a white stone at B. Then Bob places a black stone at M. Then Alice places a white stone at C. Then Bob places a black stone at S. Where should Alice play next?", "solution": "O", "problem_number": 37, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " W W W _ _ \n _ _ _ B _ \n _ _ B _ _ \n _ _ _ B _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at E. Then Bob places a black stone at A. Then Alice places a white stone at J. Then Bob places a black stone at B. Then Alice places a white stone at N. Then Bob places a black stone at F. Where should Alice play next?", "solution": "G", "problem_number": 38, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " B B _ _ W \n B _ _ _ W \n _ _ _ W _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at K. Then Bob places a black stone at A. Then Alice places a white stone at O. Then Bob places a black stone at B. Then Alice places a white stone at Y. Then Bob places a black stone at F. Where should Alice play next?", "solution": "G", "problem_number": 39, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " B B _ _ _ \n B _ _ _ _ \n W _ _ _ W \n _ _ _ _ _ \n _ _ _ _ W \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at E. Then Bob places a black stone at A. Then Alice places a white stone at O. Then Bob places a black stone at B. Then Alice places a white stone at T. Then Bob places a black stone at F. Where should Alice play next?", "solution": "G", "problem_number": 40, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " B B _ _ W \n B _ _ _ _ \n _ _ _ _ W \n _ _ _ _ W \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at D. Then Bob places a black stone at A. Then Alice places a white stone at L. Then Bob places a black stone at B. Then Alice places a white stone at P. Then Bob places a black stone at F. Where should Alice play next?", "solution": "G", "problem_number": 41, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " B B _ W _ \n B _ _ _ _ \n _ W _ _ _ \n W _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at P. Then Alice places a white stone at B. Then Bob places a black stone at U. Then Alice places a white stone at C. Then Bob places a black stone at V. Where should Alice play next?", "solution": "Q", "problem_number": 42, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " W W W _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n B _ _ _ _ \n B B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at D. Then Bob places a black stone at C. Then Alice places a white stone at J. Then Bob places a black stone at H. Where should Alice play next?", "solution": "G", "problem_number": 43, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " W B B W _ \n _ _ B _ W \n _ _ _ _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at J. Then Bob places a black stone at C. Then Alice places a white stone at O. Then Bob places a black stone at H. Where should Alice play next?", "solution": "G", "problem_number": 44, "is_unique_solution": true, "verdict": "blocked", "next_player": "Alice", "currect_board_visualization": " W B B _ _ \n _ _ B _ W \n _ _ _ _ W \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at D. Then Bob places a black stone at B. Then Alice places a white stone at R. Then Bob places a black stone at G. Then Alice places a white stone at Y. Where should Bob play next?", "solution": "F", "problem_number": 45, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " B B W W _ \n _ B _ _ _ \n _ _ _ _ _ \n _ _ W _ _ \n _ _ _ _ W \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at D. Then Bob places a black stone at B. Then Alice places a white stone at K. Then Bob places a black stone at G. Then Alice places a white stone at T. Where should Bob play next?", "solution": "F", "problem_number": 46, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " B B W W _ \n _ B _ _ _ \n W _ _ _ _ \n _ _ _ _ W \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at I. Then Bob places a black stone at B. Then Alice places a white stone at R. Then Bob places a black stone at F. Then Alice places a white stone at Y. Where should Bob play next?", "solution": "G", "problem_number": 47, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " B B W _ _ \n B _ _ W _ \n _ _ _ _ _ \n _ _ W _ _ \n _ _ _ _ W \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at C. Then Bob places a black stone at F. Then Alice places a white stone at T. Then Bob places a black stone at H. Then Alice places a white stone at V. Where should Bob play next?", "solution": "L", "problem_number": 48, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " W B W _ _ \n B _ B _ _ \n _ _ _ _ _ \n _ _ _ _ W \n _ W _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at D. Then Bob places a black stone at C. Then Alice places a white stone at I. Then Bob places a black stone at H. Then Alice places a white stone at R. Where should Bob play next?", "solution": "G", "problem_number": 49, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " W B B W _ \n _ _ B W _ \n _ _ _ _ _ \n _ _ W _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at D. Then Bob places a black stone at B. Then Alice places a white stone at H. Then Bob places a black stone at F. Then Alice places a white stone at M. Where should Bob play next?", "solution": "G", "problem_number": 50, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " B B W W _ \n B _ W _ _ \n _ _ W _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at E. Then Bob places a black stone at B. Then Alice places a white stone at H. Then Bob places a black stone at G. Then Alice places a white stone at O. Where should Bob play next?", "solution": "F", "problem_number": 51, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " B B W _ W \n _ B W _ _ \n _ _ _ _ W \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at G. Then Alice places a white stone at B. Then Bob places a black stone at M. Then Alice places a white stone at C. Then Bob places a black stone at Q. Then Alice places a white stone at F. Where should Bob play next?", "solution": "K", "problem_number": 52, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " W W W _ _ \n W B _ _ _ \n _ _ B _ _ \n _ B _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at E. Then Bob places a black stone at C. Then Alice places a white stone at F. Then Bob places a black stone at G. Then Alice places a white stone at P. Where should Bob play next?", "solution": "H", "problem_number": 53, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " W B B _ W \n W B _ _ _ \n _ _ _ _ _ \n W _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at D. Then Alice places a white stone at F. Then Bob places a black stone at I. Then Alice places a white stone at N. Where should Bob play next?", "solution": "H", "problem_number": 54, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " W W B B _ \n W _ _ B _ \n _ _ _ W _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at C. Then Bob places a black stone at F. Then Alice places a white stone at I. Then Bob places a black stone at H. Then Alice places a white stone at M. Where should Bob play next?", "solution": "L", "problem_number": 55, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " W B W _ _ \n B _ B W _ \n _ _ W _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at P. Then Alice places a white stone at B. Then Bob places a black stone at Q. Then Alice places a white stone at C. Then Bob places a black stone at V. Then Alice places a white stone at E. Where should Bob play next?", "solution": "U", "problem_number": 56, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " W W W _ W \n _ _ _ _ _ \n _ _ _ _ _ \n B B _ _ _ \n _ B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at C. Then Bob places a black stone at F. Then Alice places a white stone at J. Then Bob places a black stone at H. Then Alice places a white stone at Q. Where should Bob play next?", "solution": "L", "problem_number": 57, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " W B W _ _ \n B _ B _ W \n _ _ _ _ _ \n _ W _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at D. Then Alice places a white stone at J. Then Bob places a black stone at H. Then Alice places a white stone at N. Where should Bob play next?", "solution": "I", "problem_number": 58, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " W W B B _ \n _ _ B _ W \n _ _ _ W _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at D. Then Alice places a white stone at J. Then Bob places a black stone at I. Then Alice places a white stone at S. Where should Bob play next?", "solution": "H", "problem_number": 59, "is_unique_solution": true, "verdict": "win", "next_player": "Bob", "currect_board_visualization": " W W B B _ \n _ _ _ B W \n _ _ _ _ _ \n _ _ _ W _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at C. Then Bob places a black stone at L. Then Alice places a white stone at E. Then Bob places a black stone at M. Then Alice places a white stone at X. Where should Bob play next?", "solution": "H", "problem_number": 60, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W B W _ W \n _ _ _ _ _ \n _ B B _ _ \n _ _ _ _ _ \n _ _ _ W _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at D. Then Bob places a black stone at A. Then Alice places a white stone at S. Then Bob places a black stone at B. Then Alice places a white stone at W. Then Bob places a black stone at C. Then Alice places a white stone at Y. Where should Bob play next?", "solution": "G", "problem_number": 61, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " B B B W _ \n _ _ _ _ _ \n _ _ _ _ _ \n _ _ _ W _ \n _ _ W _ W \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at C. Then Bob places a black stone at G. Then Alice places a white stone at D. Then Bob places a black stone at H. Then Alice places a white stone at Y. Where should Bob play next?", "solution": "L", "problem_number": 62, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W B W W _ \n _ B B _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n _ _ _ _ W \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at D. Then Bob places a black stone at B. Then Alice places a white stone at K. Then Bob places a black stone at H. Then Alice places a white stone at U. Where should Bob play next?", "solution": "F", "problem_number": 63, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " B B W W _ \n _ _ B _ _ \n W _ _ _ _ \n _ _ _ _ _ \n W _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at E. Then Bob places a black stone at A. Then Alice places a white stone at L. Then Bob places a black stone at B. Then Alice places a white stone at O. Then Bob places a black stone at C. Then Alice places a white stone at Y. Where should Bob play next?", "solution": "G", "problem_number": 64, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " B B B _ W \n _ _ _ _ _ \n _ W _ _ W \n _ _ _ _ _ \n _ _ _ _ W \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at M. Then Bob places a black stone at C. Then Alice places a white stone at N. Then Bob places a black stone at D. Then Alice places a white stone at V. Where should Bob play next?", "solution": "H", "problem_number": 65, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W B B B _ \n _ _ _ _ _ \n _ _ W W _ \n _ _ _ _ _ \n _ W _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at D. Then Bob places a black stone at B. Then Alice places a white stone at S. Then Bob places a black stone at H. Then Alice places a white stone at T. Where should Bob play next?", "solution": "F", "problem_number": 66, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " B B W W _ \n _ _ B _ _ \n _ _ _ _ _ \n _ _ _ W W \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at E. Then Bob places a black stone at C. Then Alice places a white stone at F. Then Bob places a black stone at D. Then Alice places a white stone at Q. Where should Bob play next?", "solution": "H", "problem_number": 67, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W B B B W \n W _ _ _ _ \n _ _ _ _ _ \n _ W _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at E. Then Alice places a white stone at B. Then Bob places a black stone at J. Then Alice places a white stone at C. Then Bob places a black stone at O. Then Alice places a white stone at W. Where should Bob play next?", "solution": "I", "problem_number": 68, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W W _ B \n _ _ _ _ B \n _ _ _ _ B \n _ _ _ _ _ \n _ _ W _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at D. Then Alice places a white stone at L. Then Bob places a black stone at G. Then Alice places a white stone at S. Where should Bob play next?", "solution": "I", "problem_number": 69, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W B B _ \n _ B _ _ _ \n _ W _ _ _ \n _ _ _ W _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at E. Then Alice places a white stone at B. Then Bob places a black stone at I. Then Alice places a white stone at C. Then Bob places a black stone at O. Then Alice places a white stone at W. Where should Bob play next?", "solution": "J", "problem_number": 70, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W W _ B \n _ _ _ B _ \n _ _ _ _ B \n _ _ _ _ _ \n _ _ W _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at C. Then Bob places a black stone at F. Then Alice places a white stone at J. Then Bob places a black stone at G. Then Alice places a white stone at Q. Where should Bob play next?", "solution": "L", "problem_number": 71, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W B W _ _ \n B B _ _ W \n _ _ _ _ _ \n _ W _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at E. Then Alice places a white stone at O. Then Bob places a black stone at I. Then Alice places a white stone at S. Where should Bob play next?", "solution": "D", "problem_number": 72, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W B _ B \n _ _ _ B _ \n _ _ _ _ W \n _ _ _ W _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at D. Then Bob places a black stone at B. Then Alice places a white stone at O. Then Bob places a black stone at L. Then Alice places a white stone at W. Where should Bob play next?", "solution": "F", "problem_number": 73, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " B B W W _ \n _ _ _ _ _ \n _ B _ _ W \n _ _ _ _ _ \n _ _ W _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at D. Then Alice places a white stone at N. Then Bob places a black stone at E. Then Alice places a white stone at S. Where should Bob play next?", "solution": "I", "problem_number": 74, "is_unique_solution": true, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W B B B \n _ _ _ _ _ \n _ _ _ W _ \n _ _ _ W _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at I. Then Alice places a white stone at F. Then Bob places a black stone at V. Then Alice places a white stone at Q. Where should Bob play next?", "solution": "G", "problem_number": 75, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " W W B _ _ \n W _ _ B _ \n _ _ _ _ _ \n _ W _ _ _ \n _ B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at B. Then Bob places a black stone at K. Then Alice places a white stone at C. Then Bob places a black stone at Q. Then Alice places a white stone at F. Where should Bob play next?", "solution": "G", "problem_number": 76, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " W W W B _ \n W _ _ _ _ \n B _ _ _ _ \n _ B _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at F. Then Alice places a white stone at B. Then Bob places a black stone at J. Then Alice places a white stone at C. Then Bob places a black stone at S. Then Alice places a white stone at H. Where should Bob play next?", "solution": "G", "problem_number": 77, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " W W W _ _ \n B _ W _ B \n _ _ _ _ _ \n _ _ _ B _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at E. Then Alice places a white stone at G. Then Bob places a black stone at V. Then Alice places a white stone at K. Where should Bob play next?", "solution": "F", "problem_number": 78, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " W W B _ B \n _ W _ _ _ \n W _ _ _ _ \n _ _ _ _ _ \n _ B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at C. Then Bob places a black stone at T. Then Alice places a white stone at F. Then Bob places a black stone at U. Then Alice places a white stone at G. Where should Bob play next?", "solution": "H", "problem_number": 79, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " B W W _ _ \n W W _ _ _ \n _ _ _ _ _ \n _ _ _ _ B \n B _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at C. Then Bob places a black stone at G. Then Alice places a white stone at F. Then Bob places a black stone at S. Then Alice places a white stone at H. Where should Bob play next?", "solution": "L", "problem_number": 80, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " B W W _ _ \n W B W _ _ \n _ _ _ _ _ \n _ _ _ B _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at F. Then Bob places a black stone at C. Then Alice places a white stone at L. Then Bob places a black stone at G. Then Alice places a white stone at U. Where should Bob play next?", "solution": "H", "problem_number": 81, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " B W B _ _ \n W B _ _ _ \n _ W _ _ _ \n _ _ _ _ _ \n W _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at T. Then Bob places a black stone at B. Then Alice places a white stone at X. Then Bob places a black stone at E. Then Alice places a white stone at Y. Where should Bob play next?", "solution": "S", "problem_number": 82, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " B B W _ B \n _ _ _ _ _ \n _ _ _ _ _ \n _ _ _ _ W \n _ _ _ W W \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at B. Then Bob places a black stone at L. Then Alice places a white stone at C. Then Bob places a black stone at Q. Then Alice places a white stone at H. Where should Bob play next?", "solution": "G", "problem_number": 83, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " W W W B _ \n _ _ W _ _ \n _ B _ _ _ \n _ B _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at E. Then Alice places a white stone at B. Then Bob places a black stone at N. Then Alice places a white stone at C. Then Bob places a black stone at V. Then Alice places a white stone at F. Where should Bob play next?", "solution": "G", "problem_number": 84, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " W W W _ B \n W _ _ _ _ \n _ _ _ B _ \n _ _ _ _ _ \n _ B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at E. Then Alice places a white stone at F. Then Bob places a black stone at U. Then Alice places a white stone at N. Where should Bob play next?", "solution": "G", "problem_number": 85, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " W W B _ B \n W _ _ _ _ \n _ _ _ W _ \n _ _ _ _ _ \n B _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at C. Then Bob places a black stone at Q. Then Alice places a white stone at D. Then Bob places a black stone at T. Then Alice places a white stone at I. Where should Bob play next?", "solution": "H", "problem_number": 86, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " B W W W _ \n _ _ _ W _ \n _ _ _ _ _ \n _ B _ _ B \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at C. Then Bob places a black stone at T. Then Alice places a white stone at D. Then Bob places a black stone at W. Then Alice places a white stone at G. Where should Bob play next?", "solution": "H", "problem_number": 87, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " B W W W _ \n _ W _ _ _ \n _ _ _ _ _ \n _ _ _ _ B \n _ _ B _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at B. Then Bob places a black stone at F. Then Alice places a white stone at C. Then Bob places a black stone at S. Then Alice places a white stone at G. Where should Bob play next?", "solution": "H", "problem_number": 88, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " W W W B _ \n B W _ _ _ \n _ _ _ _ _ \n _ _ _ B _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at F. Then Alice places a white stone at B. Then Bob places a black stone at K. Then Alice places a white stone at C. Then Bob places a black stone at X. Then Alice places a white stone at G. Where should Bob play next?", "solution": "H", "problem_number": 89, "is_unique_solution": true, "verdict": "blocked", "next_player": "Bob", "currect_board_visualization": " W W W _ _ \n B W _ _ _ \n B _ _ _ _ \n _ _ _ _ _ \n _ _ _ B _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at F. Then Bob places a black stone at U. Then Alice places a white stone at G. Then Bob places a black stone at V. Where should Alice play next?", "solution": "H, L", "problem_number": 90, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W _ _ _ \n W W _ _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n B B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at F. Then Bob places a black stone at D. Then Alice places a white stone at G. Then Bob places a black stone at J. Where should Alice play next?", "solution": "H, L", "problem_number": 91, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W _ B _ \n W W _ _ B \n _ _ _ _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at F. Then Bob places a black stone at A. Then Alice places a white stone at G. Then Bob places a black stone at B. Then Alice places a white stone at M. Then Bob places a black stone at V. Where should Alice play next?", "solution": "K, L", "problem_number": 92, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B B _ _ _ \n W W _ _ _ \n _ _ W _ _ \n _ _ _ _ _ \n _ B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at G. Then Bob places a black stone at C. Then Alice places a white stone at L. Then Bob places a black stone at T. Where should Alice play next?", "solution": "F, H", "problem_number": 93, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W B _ _ \n _ W _ _ _ \n _ W _ _ _ \n _ _ _ _ B \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at C. Then Bob places a black stone at P. Then Alice places a white stone at I. Then Bob places a black stone at X. Where should Alice play next?", "solution": "G, H", "problem_number": 94, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W W _ _ \n _ _ _ W _ \n _ _ _ _ _ \n B _ _ _ _ \n _ _ _ B _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at F. Then Bob places a black stone at Q. Then Alice places a white stone at G. Then Bob places a black stone at Y. Where should Alice play next?", "solution": "H, L", "problem_number": 95, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W _ _ _ \n W W _ _ _ \n _ _ _ _ _ \n _ B _ _ _ \n _ _ _ _ B \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at L. Then Bob places a black stone at A. Then Alice places a white stone at R. Then Bob places a black stone at B. Then Alice places a white stone at W. Then Bob places a black stone at C. Where should Alice play next?", "solution": "Q, V", "problem_number": 96, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B B B _ _ \n _ _ _ _ _ \n _ W _ _ _ \n _ _ W _ _ \n _ _ W _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at C. Then Bob places a black stone at X. Then Alice places a white stone at I. Then Bob places a black stone at Y. Where should Alice play next?", "solution": "G, H", "problem_number": 97, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W W _ _ \n _ _ _ W _ \n _ _ _ _ _ \n _ _ _ _ _ \n _ _ _ B B \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at B. Then Bob places a black stone at K. Then Alice places a white stone at H. Then Bob places a black stone at U. Where should Alice play next?", "solution": "F, G", "problem_number": 98, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " W W _ B _ \n _ _ W _ _ \n B _ _ _ _ \n _ _ _ _ _ \n B _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at B. Then Bob places a black stone at M. Then Alice places a white stone at H. Then Bob places a black stone at O. Where should Alice play next?", "solution": "F, G", "problem_number": 99, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " W W _ B _ \n _ _ W _ _ \n _ _ B _ B \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at G. Then Bob places a black stone at E. Then Alice places a white stone at M. Then Bob places a black stone at O. Where should Alice play next?", "solution": "C, H", "problem_number": 100, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W _ _ B \n _ W _ _ _ \n _ _ W _ B \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at G. Then Bob places a black stone at A. Then Alice places a white stone at H. Then Bob places a black stone at B. Then Alice places a white stone at I. Then Bob places a black stone at Y. Where should Alice play next?", "solution": "C, M", "problem_number": 101, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B B _ _ _ \n _ W W W _ \n _ _ _ _ _ \n _ _ _ _ _ \n _ _ _ _ B \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at H. Then Bob places a black stone at D. Then Alice places a white stone at M. Then Bob places a black stone at V. Where should Alice play next?", "solution": "G, L", "problem_number": 102, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W _ B _ \n _ _ W _ _ \n _ _ W _ _ \n _ _ _ _ _ \n _ B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at C. Then Bob places a black stone at E. Then Alice places a white stone at I. Then Bob places a black stone at O. Where should Alice play next?", "solution": "G, H", "problem_number": 103, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B W W _ B \n _ _ _ W _ \n _ _ _ _ B \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at D. Then Bob places a black stone at B. Then Alice places a white stone at J. Then Bob places a black stone at O. Where should Alice play next?", "solution": "H, I", "problem_number": 104, "is_unique_solution": false, "verdict": "fork", "next_player": "Alice", "currect_board_visualization": " B B W W _ \n _ _ _ _ W \n _ _ _ _ B \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at F. Then Bob places a black stone at C. Then Alice places a white stone at J. Then Bob places a black stone at I. Then Alice places a white stone at Y. Where should Bob play next?", "solution": "G, H", "problem_number": 105, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W B B _ _ \n W _ _ B W \n _ _ _ _ _ \n _ _ _ _ _ \n _ _ _ _ W \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at G. Then Alice places a white stone at E. Then Bob places a black stone at H. Then Alice places a white stone at U. Where should Bob play next?", "solution": "I, M", "problem_number": 106, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W B _ W \n _ B B _ _ \n _ _ _ _ _ \n _ _ _ _ _ \n W _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at G. Then Alice places a white stone at B. Then Bob places a black stone at L. Then Alice places a white stone at C. Then Bob places a black stone at Q. Then Alice places a white stone at D. Where should Bob play next?", "solution": "K, M", "problem_number": 107, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W W W _ \n _ B _ _ _ \n _ B _ _ _ \n _ B _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at M. Then Alice places a white stone at B. Then Bob places a black stone at R. Then Alice places a white stone at C. Then Bob places a black stone at V. Then Alice places a white stone at D. Where should Bob play next?", "solution": "L, Q", "problem_number": 108, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W W W _ \n _ _ _ _ _ \n _ _ B _ _ \n _ _ B _ _ \n _ B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at D. Then Alice places a white stone at P. Then Bob places a black stone at J. Then Alice places a white stone at S. Where should Bob play next?", "solution": "H, I", "problem_number": 109, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W B B _ \n _ _ _ _ B \n _ _ _ _ _ \n W _ _ W _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at B. Then Bob places a black stone at D. Then Alice places a white stone at M. Then Bob places a black stone at J. Then Alice places a white stone at O. Where should Bob play next?", "solution": "H, I", "problem_number": 110, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W B B _ \n _ _ _ _ B \n _ _ W _ W \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at L. Then Alice places a white stone at B. Then Bob places a black stone at M. Then Alice places a white stone at C. Then Bob places a black stone at S. Then Alice places a white stone at E. Where should Bob play next?", "solution": "Q, R", "problem_number": 111, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W W _ W \n _ _ _ _ _ \n _ B B _ _ \n _ _ _ B _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at O. Then Alice places a white stone at B. Then Bob places a black stone at T. Then Alice places a white stone at C. Then Bob places a black stone at X. Then Alice places a white stone at E. Where should Bob play next?", "solution": "N, S", "problem_number": 112, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W W _ W \n _ _ _ _ _ \n _ _ _ _ B \n _ _ _ _ B \n _ _ _ B _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at E. Then Bob places a black stone at C. Then Alice places a white stone at N. Then Bob places a black stone at I. Then Alice places a white stone at Y. Where should Bob play next?", "solution": "G, H", "problem_number": 113, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W B B _ W \n _ _ _ B _ \n _ _ _ W _ \n _ _ _ _ _ \n _ _ _ _ W \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at F. Then Bob places a black stone at C. Then Alice places a white stone at S. Then Bob places a black stone at I. Then Alice places a white stone at V. Where should Bob play next?", "solution": "G, H", "problem_number": 114, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W B B _ _ \n W _ _ B _ \n _ _ _ _ _ \n _ _ _ W _ \n _ W _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at F. Then Bob places a black stone at C. Then Alice places a white stone at Q. Then Bob places a black stone at I. Then Alice places a white stone at S. Where should Bob play next?", "solution": "G, H", "problem_number": 115, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W B B _ _ \n W _ _ B _ \n _ _ _ _ _ \n _ W _ W _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at E. Then Bob places a black stone at C. Then Alice places a white stone at L. Then Bob places a black stone at I. Then Alice places a white stone at Q. Where should Bob play next?", "solution": "G, H", "problem_number": 116, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W B B _ W \n _ _ _ B _ \n _ W _ _ _ \n _ W _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at M. Then Alice places a white stone at B. Then Bob places a black stone at Q. Then Alice places a white stone at C. Then Bob places a black stone at V. Then Alice places a white stone at D. Where should Bob play next?", "solution": "R, W", "problem_number": 117, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W W W _ \n _ _ _ _ _ \n _ _ B _ _ \n _ B _ _ _ \n _ B _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at B. Then Bob places a black stone at J. Then Alice places a white stone at C. Then Bob places a black stone at O. Then Alice places a white stone at K. Where should Bob play next?", "solution": "I, N", "problem_number": 118, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W W B _ \n _ _ _ _ B \n W _ _ _ B \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" }, { "problem": "Alice and Bob are playing a game on a board. There are 5 equally spaced horizontal lines where the distance between two neighboring horizontal lines is 1. Similarly there are 5 equally spaced vertical lines and the distance between two neighboring vertical lines is 1. There are 25 intersection points between the 5 horizontal lines and 5 vertical lines. These 25 points are labeled from top to bottom, left to right, as A, B, C, D, \u2026, Y. Alice plays white. Bob plays black. At each turn, the player places a stone of the corresponding color onto one of the 25 points that have not been occupied. Whoever has four stones that form either a unit square (with side length of 1) or a \u201cdiagonal square\u201d with side length equal to square root of 2 wins. For example, ABGF is a unit square. FBHL is a diagonal square. Alice first places a white stone at A. Then Bob places a black stone at G. Then Alice places a white stone at B. Then Bob places a black stone at H. Then Alice places a white stone at C. Then Bob places a black stone at N. Then Alice places a white stone at F. Where should Bob play next?", "solution": "L, M", "problem_number": 119, "is_unique_solution": false, "verdict": "fork", "next_player": "Bob", "currect_board_visualization": " W W W _ _ \n W B B _ _ \n _ _ _ B _ \n _ _ _ _ _ \n _ _ _ _ _ \n", "board_visualization": " A B C D E \n F G H I J \n K L M N O \n P Q R S T \n U V W X Y \n" } ]