{"messages": [{"content": "In a 39x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 12), (2, 18), (31, 6), (12, 28), (27, 0), (30, 25), (26, 14), (15, 15), (20, 33), (35, 21), (17, 22), (25, 12), (9, 9), (21, 24), (16, 17), (2, 12), (1, 33), (9, 13), (22, 16), (32, 20), (34, 10), (1, 14), (1, 23), (7, 10), (36, 6), (32, 11), (2, 8), (11, 9), (6, 26), (31, 32), (22, 5), (5, 10), (22, 4), (11, 20), (4, 33), (19, 17), (30, 31), (30, 11), (20, 20), (16, 27), (12, 2), (7, 2), (5, 31), (4, 8), (15, 35), (18, 27), (28, 18), (36, 15), (32, 7), (16, 16), (18, 16), (12, 11), (31, 28), (22, 34), (38, 27), (24, 7), (31, 33), (1, 29), (0, 11), (3, 19), (8, 19), (33, 1), (31, 1), (1, 10), (38, 6), (20, 0), (8, 18), (18, 0), (20, 16), (6, 17), (6, 21), (21, 4), (6, 10), (11, 4), (22, 0), (34, 12), (12, 20), (1, 3), (3, 25), (1, 5), (30, 3), (12, 35), (32, 31), (36, 17), (0, 8), (6, 4), (38, 9), (26, 16), (27, 25), (19, 28), (16, 19), (4, 13), (25, 1), (10, 13), (37, 33), (29, 4), (5, 26), (15, 20), (1, 19), (28, 29), (31, 8), (11, 12), (34, 30), (19, 19), (0, 30), (3, 1), (28, 35), (30, 15), (20, 6), (15, 5), (11, 28), (16, 21), (15, 4), (25, 21), (2, 27), (0, 20), (25, 18), (14, 30), (19, 10), (20, 15), (36, 14), (35, 22), (9, 31), (30, 13), (9, 33), (14, 7), (35, 20), (36, 25), (22, 3), (2, 23), (14, 9), (9, 22), (24, 27), (24, 8), (8, 1), (1, 1), (16, 0), (34, 20), (35, 5), (12, 12), (32, 2), (30, 24), (1, 34), (4, 10), (35, 23), (37, 20), (26, 1), (11, 31), (26, 2), (5, 11), (10, 24), (9, 32), (36, 30), (3, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 16), (0, 27), (28, 15), (12, 8), (10, 37), (11, 1), (13, 18), (0, 34), (5, 21), (20, 4), (18, 30), (0, 1), (5, 11), (4, 23), (13, 1), (27, 15), (26, 27), (7, 11), (20, 1), (22, 35), (15, 31), (8, 28), (30, 37), (14, 21), (32, 5), (6, 19), (15, 21), (19, 7), (4, 14), (18, 35), (28, 3), (30, 21), (5, 8), (22, 33), (21, 23), (12, 5), (10, 22), (26, 24), (14, 32), (29, 6), (12, 17), (8, 19), (23, 19), (0, 2), (3, 1), (9, 26), (22, 36), (24, 7), (8, 4), (7, 7), (6, 24), (1, 4), (8, 14), (1, 37), (12, 7), (30, 4), (26, 10), (7, 21), (16, 20), (9, 35), (0, 9), (6, 35), (19, 3), (30, 31), (13, 2), (31, 14), (26, 20), (6, 16), (17, 1), (32, 14), (5, 9), (21, 19), (31, 33), (11, 6), (14, 33), (5, 26), (15, 30), (14, 25), (12, 33), (10, 13), (21, 0), (26, 36), (11, 21), (1, 14), (8, 24), (3, 9), (15, 22), (26, 18), (2, 2), (24, 20), (23, 18), (24, 17), (18, 18), (18, 33), (1, 8), (8, 5), (0, 3), (0, 24), (21, 27), (29, 19), (22, 8), (23, 32), (8, 11), (26, 28), (1, 28), (16, 2), (9, 33), (22, 27), (16, 5), (19, 16), (30, 10), (15, 27), (30, 36), (28, 20), (28, 27), (10, 33), (10, 27), (23, 23), (27, 0), (26, 30), (0, 17), (19, 25), (14, 31), (31, 31), (22, 0), (29, 22), (28, 24), (15, 9), (29, 1), (10, 7), (25, 12), (27, 12), (2, 31), (28, 11), (11, 32), (15, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 19), (29, 11), (7, 28), (2, 28), (11, 22), (30, 24), (29, 32), (3, 2), (25, 1), (25, 9), (29, 14), (28, 29), (3, 12), (31, 15), (14, 31), (11, 29), (17, 17), (6, 31), (23, 0), (22, 14), (26, 12), (20, 22), (21, 11), (31, 27), (9, 32), (28, 32), (30, 21), (1, 20), (28, 7), (14, 29), (19, 6), (27, 11), (12, 24), (12, 0), (31, 25), (25, 0), (25, 29), (0, 17), (3, 1), (3, 28), (29, 3), (19, 29), (24, 12), (23, 15), (10, 7), (26, 19), (8, 26), (17, 11), (27, 20), (16, 22), (14, 2), (15, 29), (18, 28), (7, 23), (31, 5), (7, 9), (0, 1), (1, 7), (2, 2), (2, 12), (30, 18), (16, 25), (6, 20), (6, 2), (17, 16), (13, 4), (5, 0), (5, 17), (12, 26), (10, 16), (18, 19), (30, 20), (1, 24), (3, 9), (21, 9), (18, 21), (14, 16), (11, 30), (22, 15), (30, 10), (11, 11), (1, 3), (15, 21), (7, 24), (15, 13), (20, 20), (10, 32), (13, 30), (31, 7), (8, 32), (4, 15), (13, 32), (7, 20), (20, 4), (29, 1), (10, 22), (14, 20), (20, 27), (29, 12), (12, 18), (24, 18), (5, 24), (13, 17), (4, 20), (7, 15), (25, 21), (12, 6), (2, 29), (23, 29), (18, 23), (25, 4), (5, 19), (15, 6), (3, 27), (30, 2), (17, 20), (19, 23), (26, 27), (30, 31), (7, 1), (27, 5), (0, 16), (1, 2), (27, 27), (5, 10), (21, 27), (18, 30), (20, 10), (21, 14), (14, 21), (14, 14), (1, 30), (20, 29), (22, 10), (9, 21), (31, 3), (13, 27), (9, 20), (13, 18), (8, 15), (1, 15), (25, 27), (3, 20), (21, 24), (17, 29), (1, 8), (17, 30), (8, 14), (0, 5), (2, 9), (25, 6), (3, 8), (8, 5), (28, 20), (29, 0), (23, 16), (27, 6), (8, 3), (6, 32), (15, 0), (8, 2), (20, 32), (4, 29), (17, 28), (15, 14), (12, 9), (11, 28), (24, 30), (19, 31), (9, 18), (29, 24), (30, 15), (10, 31), (12, 7), (30, 26), (17, 27), (28, 0), (15, 30), (31, 0), (5, 12), (18, 0), (27, 26), (16, 26), (12, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 33x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 32), (3, 22), (32, 12), (13, 10), (10, 28), (10, 2), (20, 18), (21, 3), (11, 18), (32, 24), (25, 28), (6, 4), (6, 28), (5, 18), (21, 33), (11, 17), (17, 0), (20, 16), (11, 30), (21, 0), (7, 6), (5, 6), (24, 1), (5, 25), (13, 25), (27, 3), (1, 6), (6, 3), (0, 26), (27, 30), (5, 29), (21, 10), (0, 19), (23, 1), (23, 32), (17, 20), (1, 32), (18, 15), (15, 16), (30, 12), (25, 1), (28, 17), (25, 33), (24, 14), (19, 28), (10, 21), (26, 18), (4, 14), (30, 23), (13, 16), (21, 6), (29, 22), (3, 3), (0, 10), (18, 1), (32, 30), (10, 0), (7, 24), (27, 22), (12, 8), (31, 4), (3, 11), (31, 21), (32, 5), (12, 5), (15, 29), (28, 22), (4, 23), (11, 4), (12, 23), (16, 17), (17, 31), (4, 33), (4, 18), (9, 25), (18, 21), (6, 31), (31, 19), (11, 6), (11, 26), (31, 2), (18, 32), (7, 25), (5, 9), (5, 7), (9, 5), (26, 16), (32, 7), (12, 2), (10, 27), (26, 24), (20, 13), (29, 3), (11, 34), (16, 18), (23, 24), (31, 10), (10, 30), (4, 34), (25, 9), (3, 0), (31, 3), (8, 16), (8, 0), (19, 9), (12, 26), (1, 34), (6, 17), (19, 3), (3, 18), (8, 9), (8, 30), (7, 3), (22, 18), (29, 25), (23, 25), (8, 15), (3, 19), (26, 22), (4, 20), (32, 32), (27, 23), (21, 32), (29, 31), (16, 22), (27, 27), (28, 24), (19, 29), (14, 12), (13, 28), (7, 31), (26, 25), (22, 31), (3, 2), (21, 21), (2, 28), (5, 23), (0, 24), (29, 27), (12, 34), (10, 6), (7, 2), (19, 2), (11, 24), (16, 21), (23, 19), (0, 1), (4, 7), (29, 7), (24, 13), (20, 19), (9, 26), (8, 27), (2, 0), (29, 11), (11, 8), (5, 11), (9, 9), (18, 26), (16, 23), (18, 31), (11, 7), (19, 31), (20, 34), (30, 14), (19, 27), (3, 34), (14, 2), (4, 26), (2, 31), (14, 3), (0, 7), (19, 30), (12, 10), (25, 20), (29, 2), (24, 27), (1, 27), (16, 11), (16, 15), (28, 16), (26, 34), (2, 19), (5, 31), (1, 7), (23, 31), (28, 28), (28, 30), (25, 13), (5, 8), (20, 28), (31, 11), (16, 10), (1, 11), (14, 28), (22, 1), (1, 33), (27, 5), (2, 27), (0, 11), (18, 13), (17, 3), (24, 28), (27, 33), (24, 5), (12, 31), (29, 20), (31, 20), (22, 27), (20, 26), (19, 8), (3, 15), (13, 1), (7, 4), (22, 11), (31, 1), (6, 32), (20, 14), (4, 21), (2, 1), (28, 29), (0, 9), (25, 24), (1, 3), (11, 32), (12, 28), (8, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 39x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 12), (33, 0), (10, 21), (15, 34), (2, 18), (2, 32), (27, 13), (10, 13), (26, 8), (12, 29), (1, 7), (0, 10), (19, 3), (29, 32), (21, 29), (26, 27), (24, 2), (27, 24), (35, 32), (30, 6), (20, 20), (27, 14), (22, 27), (16, 9), (19, 23), (22, 18), (24, 16), (13, 1), (21, 18), (36, 27), (34, 0), (11, 15), (14, 21), (29, 7), (19, 10), (13, 24), (15, 27), (13, 10), (31, 13), (27, 8), (36, 24), (16, 31), (19, 7), (15, 2), (13, 20), (6, 26), (37, 12), (0, 33), (17, 9), (0, 21), (14, 20), (12, 33), (19, 25), (23, 6), (13, 26), (1, 6), (22, 23), (16, 13), (11, 33), (2, 0), (24, 20), (22, 10), (30, 33), (28, 11), (32, 9), (17, 2), (11, 27), (4, 17), (13, 16), (2, 11), (0, 28), (22, 15), (15, 23), (5, 15), (4, 16), (5, 24), (21, 21), (30, 27), (3, 20), (38, 21), (2, 33), (36, 15), (14, 26), (36, 21), (32, 4), (15, 18), (1, 17), (19, 17), (29, 12), (13, 4), (16, 17), (19, 4), (15, 29), (9, 15), (0, 34), (7, 27), (0, 15), (33, 29), (12, 11), (26, 28), (24, 23), (33, 4), (32, 23), (11, 29), (20, 33), (31, 0), (27, 31), (9, 29), (16, 2), (33, 3), (12, 17), (10, 7), (29, 1), (17, 6), (23, 32), (19, 22), (26, 13), (35, 27), (6, 19), (18, 24), (14, 22), (35, 25), (8, 5), (1, 14), (23, 30), (7, 24), (28, 1), (11, 3), (13, 3), (9, 20), (10, 22), (17, 30), (20, 34), (38, 28), (14, 14), (1, 22), (17, 27), (28, 30), (8, 1), (22, 26), (2, 5), (28, 7), (7, 30), (34, 16), (37, 30), (6, 8), (36, 31), (24, 9), (30, 3), (23, 4), (31, 27), (6, 22), (9, 14), (23, 14), (27, 6), (0, 26), (27, 18), (21, 10), (16, 14), (0, 7), (21, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 0), (25, 30), (36, 18), (1, 0), (5, 22), (38, 10), (31, 30), (25, 25), (13, 4), (1, 18), (34, 15), (1, 9), (31, 12), (11, 14), (11, 25), (33, 14), (5, 14), (5, 10), (17, 20), (36, 3), (23, 17), (31, 4), (28, 8), (36, 13), (38, 8), (13, 16), (30, 17), (37, 1), (36, 28), (32, 8), (17, 23), (22, 9), (16, 25), (33, 8), (9, 6), (24, 16), (26, 11), (4, 25), (16, 4), (22, 22), (18, 25), (16, 2), (6, 4), (33, 1), (19, 30), (7, 27), (8, 21), (30, 10), (28, 29), (20, 9), (26, 2), (37, 11), (36, 25), (2, 29), (5, 16), (9, 0), (38, 1), (11, 18), (19, 18), (30, 11), (23, 13), (8, 6), (34, 17), (1, 27), (0, 30), (31, 2), (21, 10), (2, 3), (18, 16), (16, 16), (10, 23), (9, 18), (33, 16), (18, 14), (12, 15), (31, 29), (35, 16), (27, 2), (26, 9), (8, 24), (26, 19), (15, 28), (35, 18), (13, 5), (14, 2), (35, 7), (22, 23), (35, 29), (10, 11), (7, 7), (25, 2), (15, 23), (20, 18), (38, 0), (32, 15), (35, 21), (25, 26), (29, 11), (13, 1), (3, 14), (13, 0), (7, 6), (22, 19), (32, 22), (19, 0), (17, 28), (33, 9), (10, 14), (14, 22), (16, 13), (20, 0), (17, 2), (24, 17), (37, 25), (31, 13), (38, 15), (12, 28), (2, 13), (30, 5), (27, 24), (27, 11), (0, 19), (24, 2), (23, 2), (35, 24), (35, 9), (2, 15), (29, 19), (23, 27), (5, 4), (29, 5), (17, 14), (9, 24), (19, 4), (9, 8), (5, 8), (11, 6), (19, 13), (25, 18), (14, 8), (36, 8), (25, 24), (2, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 25), (8, 20), (17, 24), (1, 19), (26, 7), (13, 21), (5, 17), (6, 14), (21, 19), (11, 19), (15, 27), (16, 29), (2, 18), (4, 9), (5, 7), (7, 16), (11, 3), (0, 5), (16, 23), (25, 17), (11, 6), (26, 1), (20, 17), (3, 8), (4, 3), (7, 26), (23, 3), (12, 0), (27, 4), (0, 24), (15, 26), (28, 23), (22, 28), (6, 13), (12, 17), (9, 17), (14, 11), (2, 10), (18, 11), (11, 16), (5, 2), (22, 18), (27, 11), (1, 20), (27, 14), (16, 13), (26, 0), (20, 0), (12, 8), (23, 11), (19, 9), (9, 20), (12, 24), (18, 0), (22, 4), (16, 4), (14, 0), (9, 15), (12, 7), (18, 26), (27, 20), (23, 13), (28, 15), (7, 23), (28, 21), (26, 25), (7, 25), (5, 22), (29, 10), (27, 18), (20, 20), (12, 18), (7, 11), (8, 3), (9, 26), (0, 19), (14, 18), (24, 28), (27, 25), (7, 1), (17, 5), (7, 20), (0, 16), (22, 1), (1, 13), (19, 7), (11, 10), (17, 1), (15, 11), (5, 5), (28, 3), (13, 9), (10, 0), (5, 15), (23, 22), (11, 13), (18, 1), (28, 2), (21, 25), (24, 9), (12, 2), (7, 12), (18, 20), (12, 14), (17, 7), (3, 25), (6, 24), (8, 6), (26, 13), (5, 3), (2, 19), (28, 1), (28, 12), (3, 13), (18, 7), (25, 23), (25, 22), (1, 27), (7, 24), (5, 6), (21, 6), (29, 18), (20, 19), (13, 10), (19, 25), (22, 17), (4, 8), (29, 12), (2, 0), (2, 14), (8, 27), (12, 13), (24, 15), (18, 14), (10, 12), (23, 28), (20, 28), (4, 16), (27, 0), (1, 1), (14, 20), (23, 6), (18, 4), (11, 0), (6, 9), (15, 9), (29, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 18), (7, 14), (2, 3), (17, 5), (30, 23), (17, 18), (14, 28), (4, 3), (0, 29), (16, 10), (7, 2), (19, 4), (30, 5), (33, 14), (7, 0), (26, 28), (13, 18), (20, 19), (26, 21), (24, 21), (15, 1), (35, 3), (31, 17), (12, 21), (29, 29), (35, 16), (31, 23), (23, 11), (23, 20), (19, 23), (22, 9), (22, 16), (9, 21), (3, 5), (30, 19), (9, 26), (27, 10), (22, 4), (6, 7), (8, 14), (30, 7), (34, 25), (8, 28), (10, 18), (27, 3), (29, 8), (7, 29), (19, 16), (21, 10), (3, 2), (10, 1), (18, 11), (35, 20), (25, 11), (9, 25), (7, 6), (35, 10), (4, 27), (12, 3), (16, 14), (3, 18), (12, 8), (28, 24), (11, 28), (26, 6), (16, 25), (29, 4), (0, 22), (32, 25), (13, 1), (13, 26), (31, 10), (7, 1), (35, 23), (22, 15), (1, 13), (11, 23), (34, 3), (35, 1), (12, 7), (12, 12), (28, 25), (9, 19), (8, 5), (26, 16), (30, 2), (26, 1), (21, 12), (25, 0), (9, 5), (2, 2), (22, 10), (15, 27), (17, 15), (25, 7), (19, 13), (25, 8), (2, 12), (3, 20), (1, 20), (18, 6), (10, 22), (19, 27), (29, 17), (20, 4), (26, 25), (29, 18), (7, 22), (30, 14), (31, 26), (35, 21), (10, 29), (31, 4), (18, 17), (27, 20), (10, 10), (21, 18), (33, 13), (21, 7), (32, 27), (11, 12), (6, 11), (32, 23), (1, 0), (17, 1), (16, 1), (8, 18), (8, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 28), (5, 24), (9, 30), (31, 4), (20, 7), (6, 23), (6, 31), (27, 14), (30, 16), (12, 22), (0, 30), (23, 27), (4, 17), (25, 2), (4, 20), (36, 6), (24, 16), (6, 14), (11, 5), (2, 23), (32, 0), (28, 28), (34, 3), (4, 16), (31, 34), (35, 1), (13, 21), (27, 13), (27, 33), (35, 14), (3, 13), (21, 11), (34, 26), (33, 32), (17, 6), (7, 0), (0, 26), (22, 16), (7, 8), (27, 6), (13, 35), (20, 9), (1, 26), (23, 2), (25, 23), (16, 30), (28, 3), (13, 29), (5, 23), (33, 25), (21, 32), (16, 9), (14, 12), (22, 3), (37, 23), (10, 11), (36, 7), (4, 18), (27, 1), (30, 12), (10, 16), (15, 32), (21, 14), (16, 5), (7, 12), (20, 6), (10, 2), (31, 24), (6, 22), (33, 2), (8, 28), (37, 8), (32, 19), (19, 5), (1, 9), (5, 8), (18, 25), (15, 35), (31, 12), (35, 17), (7, 26), (15, 8), (37, 30), (24, 11), (8, 24), (17, 16), (36, 26), (16, 26), (28, 25), (31, 35), (32, 6), (5, 17), (8, 11), (23, 1), (34, 18), (10, 0), (29, 2), (36, 19), (17, 25), (36, 4), (6, 0), (6, 5), (30, 28), (20, 0), (9, 27), (35, 16), (34, 28), (11, 25), (10, 31), (15, 27), (14, 1), (13, 33), (34, 14), (17, 23), (20, 13), (19, 32), (28, 20), (7, 25), (32, 32), (11, 9), (21, 4), (17, 28), (12, 2), (7, 27), (14, 30), (20, 8), (4, 3), (27, 3), (26, 20), (20, 1), (32, 24), (8, 8), (5, 12), (9, 15), (15, 23), (5, 3), (4, 11), (13, 9), (26, 10), (7, 17), (21, 0), (12, 13), (0, 27), (21, 20), (35, 9), (9, 17), (25, 13), (2, 1), (33, 22), (7, 31), (21, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 3), (25, 3), (32, 15), (22, 18), (7, 32), (15, 9), (7, 21), (22, 27), (0, 14), (13, 4), (33, 32), (30, 12), (21, 17), (29, 19), (2, 4), (28, 8), (23, 1), (15, 28), (6, 10), (1, 22), (13, 9), (16, 22), (30, 19), (5, 12), (12, 31), (12, 12), (26, 13), (6, 26), (16, 31), (30, 23), (23, 13), (7, 26), (27, 0), (34, 14), (35, 28), (0, 27), (9, 32), (30, 24), (11, 21), (2, 12), (15, 16), (3, 3), (26, 4), (0, 15), (25, 31), (12, 4), (35, 13), (21, 15), (19, 18), (32, 21), (32, 27), (28, 12), (4, 19), (10, 2), (21, 24), (25, 18), (10, 23), (5, 1), (24, 6), (24, 20), (34, 28), (36, 5), (4, 24), (9, 29), (18, 6), (18, 11), (7, 22), (23, 17), (16, 11), (30, 5), (20, 1), (25, 12), (8, 16), (3, 21), (18, 18), (21, 10), (20, 25), (8, 10), (20, 20), (31, 27), (34, 24), (10, 11), (4, 3), (24, 9), (2, 26), (15, 30), (6, 17), (22, 24), (24, 0), (3, 12), (22, 1), (30, 4), (12, 30), (16, 6), (30, 16), (36, 15), (28, 2), (32, 30), (9, 2), (3, 14), (13, 14), (2, 18), (11, 18), (32, 7), (13, 13), (9, 21), (21, 12), (10, 16), (35, 30), (13, 20), (36, 22), (6, 9), (0, 5), (21, 4), (8, 15), (2, 5), (0, 28), (12, 19), (27, 17), (17, 27), (14, 27), (36, 2), (32, 10), (18, 13), (9, 16), (26, 29), (4, 21), (18, 21), (24, 15), (3, 8), (15, 5), (31, 1), (34, 18), (34, 27), (22, 6), (7, 28), (13, 2), (14, 10), (7, 18), (2, 0), (6, 30), (10, 5), (36, 20), (9, 30), (14, 7), (26, 12), (36, 13), (16, 27), (30, 9), (6, 29), (2, 31), (1, 28), (35, 12), (3, 6), (29, 26), (29, 16), (17, 25), (12, 15), (8, 31), (14, 17), (21, 19), (1, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 25), (2, 37), (30, 36), (1, 28), (34, 13), (13, 25), (15, 18), (13, 6), (3, 18), (12, 25), (35, 2), (31, 28), (11, 5), (19, 25), (29, 36), (27, 23), (15, 11), (5, 37), (17, 35), (26, 17), (15, 4), (5, 2), (25, 26), (15, 3), (15, 27), (14, 3), (12, 28), (3, 25), (16, 10), (4, 27), (13, 33), (33, 23), (17, 37), (35, 0), (27, 30), (13, 32), (4, 15), (13, 12), (33, 29), (30, 27), (22, 29), (25, 17), (23, 37), (9, 24), (25, 19), (32, 12), (29, 12), (25, 2), (7, 32), (0, 20), (32, 4), (18, 19), (25, 13), (28, 24), (32, 24), (0, 16), (8, 27), (7, 19), (6, 2), (12, 23), (10, 1), (2, 11), (10, 6), (29, 27), (6, 12), (0, 28), (33, 24), (10, 18), (9, 17), (12, 24), (9, 16), (11, 26), (24, 13), (11, 19), (17, 14), (12, 22), (7, 27), (24, 37), (20, 34), (26, 9), (34, 11), (33, 11), (0, 3), (14, 4), (10, 34), (24, 12), (4, 13), (8, 17), (2, 32), (8, 9), (9, 12), (3, 23), (27, 8), (23, 24), (31, 15), (9, 18), (4, 37), (18, 17), (28, 27), (6, 7), (33, 30), (27, 12), (3, 16), (21, 21), (34, 16), (8, 32), (28, 34), (21, 37), (18, 9), (1, 22), (18, 29), (15, 35), (5, 16), (19, 18), (30, 0), (10, 9), (33, 2), (11, 2), (12, 19), (25, 15), (21, 35), (1, 32), (34, 28), (21, 27), (1, 23), (14, 7), (18, 16), (27, 19), (12, 34), (3, 9), (31, 9), (10, 17), (29, 7), (3, 32), (26, 34), (28, 10), (8, 10), (3, 14), (13, 21), (10, 28), (7, 6), (20, 6), (34, 15), (30, 1), (12, 21), (5, 22), (16, 11), (5, 36), (23, 17), (32, 1), (32, 13), (22, 27), (9, 35), (26, 20), (11, 20), (26, 21), (15, 26), (20, 37), (18, 18), (28, 28), (22, 5), (31, 25), (16, 36), (5, 31), (20, 21), (27, 4), (31, 29), (10, 30), (0, 17), (20, 7), (23, 16), (4, 17), (22, 9), (13, 35), (22, 2), (10, 12), (0, 21), (5, 28), (25, 7), (14, 6), (25, 32), (13, 29), (31, 0), (24, 5), (27, 14), (14, 24), (2, 31), (2, 14), (30, 14), (18, 6), (14, 30), (13, 10), (31, 11), (17, 36), (21, 10), (16, 12), (35, 36), (24, 32), (19, 9), (31, 13), (23, 6), (6, 19), (16, 8), (25, 10), (19, 12), (32, 32), (19, 30), (2, 5), (16, 34), (19, 24), (27, 21), (4, 23), (21, 6), (18, 35), (3, 17), (4, 5), (17, 5), (10, 21), (35, 6), (11, 29), (33, 25), (20, 18), (23, 27), (21, 8), (8, 0), (3, 37), (34, 29), (10, 20), (19, 17), (25, 11), (12, 4), (13, 31), (24, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 33x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 24), (28, 25), (13, 12), (15, 23), (31, 10), (9, 1), (17, 6), (13, 10), (12, 19), (17, 0), (22, 6), (31, 18), (10, 29), (1, 9), (17, 25), (0, 4), (11, 19), (21, 10), (4, 25), (22, 13), (25, 27), (29, 4), (2, 4), (20, 7), (1, 6), (16, 30), (13, 15), (6, 25), (7, 27), (20, 12), (16, 6), (25, 0), (5, 20), (16, 19), (5, 12), (32, 13), (17, 2), (5, 13), (2, 5), (14, 18), (4, 0), (2, 10), (15, 9), (26, 12), (26, 19), (19, 21), (14, 17), (30, 30), (14, 16), (31, 5), (8, 23), (0, 30), (23, 6), (24, 5), (8, 16), (28, 30), (16, 7), (29, 29), (18, 4), (9, 10), (19, 7), (19, 24), (31, 15), (31, 25), (18, 22), (29, 5), (25, 21), (28, 18), (6, 8), (31, 4), (1, 25), (10, 21), (7, 22), (4, 6), (9, 0), (19, 5), (21, 24), (27, 5), (6, 23), (0, 5), (23, 24), (16, 13), (22, 14), (29, 11), (13, 6), (17, 8), (12, 28), (21, 26), (26, 26), (15, 26), (16, 12), (13, 26), (31, 24), (22, 21), (1, 4), (22, 9), (21, 23), (3, 12), (23, 27), (18, 0), (2, 7), (24, 13), (3, 8), (27, 28), (4, 17), (13, 0), (12, 0), (19, 17), (8, 15), (2, 1), (3, 15), (25, 14), (25, 26), (24, 4), (20, 9), (3, 25), (26, 8), (11, 4), (9, 13), (29, 28), (6, 29), (5, 25), (0, 17), (32, 0), (31, 11), (13, 19), (5, 21), (1, 11), (9, 3), (10, 4), (32, 9), (13, 30), (15, 18), (28, 7), (24, 0), (32, 17), (20, 29), (14, 27), (5, 30), (26, 15), (23, 4), (7, 0), (21, 13), (11, 20), (27, 24), (14, 5), (16, 11), (18, 2), (6, 22), (30, 16), (31, 16), (19, 0), (3, 14), (30, 20), (24, 12), (2, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 0), (1, 10), (31, 25), (26, 10), (23, 24), (9, 19), (12, 8), (5, 9), (22, 16), (6, 7), (1, 14), (11, 2), (0, 32), (8, 32), (28, 5), (32, 10), (24, 17), (16, 7), (36, 31), (12, 32), (36, 6), (18, 9), (35, 11), (19, 7), (23, 18), (34, 30), (33, 19), (4, 22), (17, 20), (6, 8), (1, 17), (10, 26), (3, 13), (24, 3), (22, 3), (4, 12), (29, 9), (9, 12), (17, 8), (5, 29), (33, 21), (1, 26), (2, 24), (32, 2), (5, 6), (25, 10), (35, 14), (25, 28), (24, 13), (1, 6), (26, 18), (9, 20), (22, 11), (9, 6), (24, 24), (20, 14), (6, 26), (24, 29), (37, 17), (31, 22), (32, 3), (27, 9), (7, 23), (24, 28), (17, 15), (8, 17), (8, 31), (19, 26), (22, 17), (10, 29), (11, 31), (8, 20), (13, 5), (8, 9), (23, 27), (3, 26), (19, 8), (30, 2), (31, 9), (22, 1), (35, 1), (29, 7), (2, 9), (30, 1), (0, 9), (28, 3), (17, 14), (36, 4), (31, 5), (23, 1), (13, 28), (1, 11), (31, 20), (32, 8), (16, 22), (27, 25), (29, 22), (37, 0), (4, 1), (27, 1), (13, 17), (22, 24), (30, 7), (23, 15), (22, 22), (9, 14), (3, 24), (13, 21), (2, 11), (12, 9), (19, 32), (26, 1), (0, 12), (10, 28), (22, 23), (12, 25), (26, 17), (33, 6), (30, 29), (36, 2), (1, 27), (4, 2), (6, 6), (7, 0), (6, 17), (12, 1), (7, 26), (16, 19), (15, 27), (13, 27), (9, 10), (4, 4), (4, 13), (35, 22), (7, 18), (7, 10), (35, 28), (5, 25), (7, 16), (37, 6), (20, 18), (3, 17), (6, 21), (4, 8), (16, 0), (33, 16), (24, 6), (2, 18), (37, 15), (11, 6), (31, 31), (35, 27), (34, 2), (23, 20), (5, 32), (18, 32), (9, 23), (3, 11), (30, 24), (22, 28), (9, 4), (6, 25), (11, 18), (12, 4), (37, 29), (33, 1), (24, 31), (21, 10), (37, 23), (17, 4), (28, 24), (5, 20), (4, 14), (26, 2), (35, 30), (37, 4), (0, 27), (33, 22), (23, 8), (19, 0), (24, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 5), (33, 12), (26, 22), (14, 21), (14, 18), (35, 1), (7, 30), (25, 36), (13, 3), (2, 4), (20, 34), (8, 2), (34, 16), (11, 3), (33, 32), (0, 26), (27, 33), (31, 26), (5, 4), (3, 26), (15, 13), (28, 21), (12, 36), (6, 13), (1, 12), (20, 31), (12, 17), (17, 18), (31, 9), (21, 1), (36, 12), (3, 5), (30, 1), (19, 4), (5, 13), (18, 0), (5, 3), (33, 24), (5, 17), (37, 5), (10, 33), (2, 2), (8, 23), (21, 30), (33, 21), (36, 19), (27, 6), (13, 21), (4, 5), (37, 11), (18, 29), (1, 20), (10, 32), (19, 31), (37, 34), (21, 4), (23, 12), (31, 19), (18, 20), (25, 12), (6, 17), (21, 17), (4, 9), (30, 14), (19, 21), (27, 24), (25, 10), (13, 18), (15, 24), (10, 0), (24, 27), (29, 2), (32, 4), (15, 11), (8, 24), (21, 23), (27, 20), (27, 34), (3, 18), (2, 7), (20, 15), (14, 10), (34, 26), (8, 32), (34, 25), (10, 28), (29, 19), (13, 28), (25, 13), (14, 11), (5, 12), (30, 17), (6, 35), (26, 8), (38, 30), (31, 35), (8, 0), (16, 25), (38, 11), (10, 3), (0, 20), (19, 20), (8, 12), (16, 10), (19, 30), (19, 0), (15, 7), (33, 8), (5, 32), (33, 35), (10, 17), (3, 10), (18, 4), (26, 17), (36, 35), (16, 26), (8, 11), (36, 4), (24, 33), (9, 1), (13, 6), (11, 22), (19, 15), (6, 23), (35, 33), (0, 9), (13, 2), (26, 10), (2, 6), (31, 23), (33, 10), (26, 29), (22, 21), (36, 32), (28, 7), (23, 27), (20, 36), (14, 32), (22, 1), (34, 22), (2, 20), (30, 5), (16, 13), (29, 9), (27, 4), (10, 29), (18, 1), (10, 20), (15, 14), (38, 14), (30, 27), (4, 18), (9, 2), (1, 10), (17, 28), (35, 6), (36, 11), (24, 2), (22, 24), (5, 6), (4, 28), (29, 28), (5, 21), (4, 21), (4, 29), (12, 23), (13, 1), (26, 34), (18, 32), (35, 8), (32, 25), (3, 25), (32, 21), (0, 19), (38, 6), (0, 7), (36, 14), (28, 36)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 21), (20, 30), (27, 0), (31, 6), (24, 10), (29, 13), (29, 4), (24, 8), (15, 9), (14, 21), (26, 17), (4, 26), (14, 1), (29, 1), (23, 15), (16, 9), (9, 31), (12, 27), (29, 21), (10, 5), (13, 23), (22, 7), (0, 26), (3, 20), (23, 3), (21, 27), (31, 2), (19, 8), (26, 15), (9, 8), (18, 8), (24, 17), (13, 15), (15, 11), (12, 5), (13, 11), (0, 11), (20, 5), (22, 8), (4, 19), (19, 17), (11, 8), (14, 9), (27, 8), (0, 12), (27, 5), (3, 4), (2, 16), (2, 21), (3, 27), (2, 26), (18, 2), (7, 14), (21, 28), (26, 19), (14, 19), (2, 15), (18, 6), (2, 4), (3, 21), (13, 3), (27, 2), (10, 15), (26, 7), (15, 31), (25, 2), (24, 13), (17, 20), (17, 3), (18, 28), (15, 2), (15, 14), (4, 14), (32, 6), (22, 10), (30, 29), (3, 31), (6, 15), (9, 1), (13, 25), (10, 24), (32, 28), (6, 6), (7, 11), (16, 10), (0, 4), (27, 16), (12, 10), (26, 2), (22, 26), (15, 21), (11, 13), (17, 9), (13, 16), (18, 18), (17, 5), (3, 7), (27, 1), (14, 25), (19, 1), (25, 12), (4, 21), (24, 28), (9, 17), (19, 13), (26, 4), (24, 4), (21, 0), (18, 31), (1, 7), (26, 1), (19, 16), (28, 10), (2, 5), (12, 17), (14, 23), (19, 24), (21, 21), (16, 30), (6, 31), (1, 19), (10, 1), (31, 27), (13, 17), (0, 27), (21, 10), (3, 24), (15, 10), (13, 8), (29, 8), (22, 2), (31, 16), (1, 17), (4, 1), (2, 22), (21, 20), (11, 1), (29, 24), (29, 29), (13, 1), (4, 23), (32, 13), (24, 24), (4, 0), (31, 30), (30, 25), (17, 7), (1, 23), (20, 27), (29, 0), (20, 11), (31, 5), (21, 15), (19, 0), (6, 3), (5, 9), (26, 25), (17, 0), (7, 31), (8, 20), (20, 2), (26, 26), (32, 12), (23, 12), (4, 29), (31, 19), (13, 5), (9, 20), (29, 5), (19, 10), (20, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 12), (18, 31), (22, 25), (13, 14), (1, 17), (7, 23), (2, 16), (27, 19), (3, 35), (26, 15), (27, 28), (9, 11), (14, 28), (7, 31), (22, 10), (2, 34), (29, 28), (1, 10), (26, 5), (25, 7), (24, 9), (22, 3), (13, 34), (2, 4), (6, 1), (13, 19), (27, 21), (8, 33), (0, 28), (29, 37), (2, 23), (29, 19), (17, 7), (23, 14), (2, 18), (26, 18), (12, 25), (5, 24), (2, 17), (24, 22), (23, 16), (2, 0), (23, 0), (20, 19), (10, 27), (24, 8), (21, 9), (1, 26), (16, 36), (14, 29), (17, 18), (28, 32), (8, 9), (0, 6), (13, 26), (19, 9), (2, 35), (19, 7), (0, 27), (28, 14), (18, 25), (5, 9), (9, 17), (0, 25), (6, 32), (6, 6), (10, 11), (21, 24), (14, 27), (22, 8), (14, 4), (6, 26), (20, 33), (18, 1), (11, 27), (23, 10), (0, 33), (13, 5), (18, 6), (9, 34), (11, 8), (12, 13), (23, 28), (5, 32), (6, 20), (7, 24), (6, 19), (9, 2), (5, 22), (7, 19), (22, 12), (22, 18), (1, 31), (3, 24), (8, 22), (23, 7), (10, 35), (11, 7), (8, 20), (12, 3), (5, 30), (17, 0), (24, 27), (24, 35), (5, 25), (0, 20), (2, 9), (0, 29), (6, 3), (4, 25), (1, 21), (1, 14), (13, 10), (17, 28), (8, 14), (10, 33), (18, 23), (27, 11), (22, 37), (29, 29), (15, 6), (13, 31), (6, 25), (23, 38), (28, 35), (20, 18), (5, 19), (17, 19), (16, 24), (3, 3), (20, 16), (25, 20), (9, 32), (21, 32), (11, 31), (25, 5), (7, 17), (19, 17), (17, 33), (21, 37), (7, 7), (6, 30), (9, 12), (5, 1), (11, 0), (19, 2), (24, 25), (7, 12), (20, 27), (2, 2), (29, 34), (8, 37), (7, 34), (0, 35), (21, 2), (20, 15), (23, 15), (18, 18), (16, 2), (11, 2), (28, 19), (15, 31), (14, 17), (3, 15), (5, 17), (27, 8), (1, 20), (12, 32), (28, 36), (15, 11), (21, 16), (13, 28), (21, 29), (4, 32), (16, 4), (18, 26), (0, 11), (14, 2), (16, 13), (26, 16), (23, 29), (23, 27), (11, 14), (2, 32), (1, 18), (5, 29), (22, 23), (18, 37), (12, 17), (21, 36), (3, 19), (14, 0), (28, 29), (0, 5), (25, 11), (26, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 34x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 14), (20, 15), (17, 12), (15, 11), (10, 2), (6, 9), (25, 26), (31, 2), (27, 20), (30, 28), (5, 13), (15, 0), (21, 11), (0, 14), (21, 27), (4, 6), (9, 12), (31, 5), (22, 20), (13, 10), (0, 7), (12, 24), (15, 7), (27, 26), (13, 0), (0, 24), (23, 23), (8, 11), (17, 15), (29, 13), (25, 1), (20, 17), (25, 27), (24, 29), (11, 7), (25, 18), (3, 1), (20, 20), (7, 27), (32, 26), (16, 5), (27, 15), (23, 29), (2, 2), (17, 10), (4, 14), (4, 22), (32, 23), (2, 13), (23, 24), (20, 28), (4, 10), (5, 26), (13, 22), (27, 3), (28, 3), (0, 8), (10, 13), (29, 28), (6, 18), (13, 7), (21, 22), (32, 28), (23, 27), (27, 27), (33, 23), (6, 0), (6, 10), (32, 10), (23, 14), (1, 10), (13, 15), (4, 24), (17, 4), (10, 8), (28, 29), (16, 13), (14, 7), (18, 20), (15, 19), (2, 6), (4, 8), (9, 18), (14, 26), (19, 16), (32, 22), (21, 23), (2, 4), (18, 3), (0, 25), (14, 20), (21, 9), (6, 3), (7, 26), (11, 5), (29, 17), (31, 24), (14, 6), (5, 19), (1, 9), (32, 29), (18, 22), (18, 12), (30, 20), (29, 3), (20, 5), (10, 0), (16, 9), (27, 1), (10, 15), (14, 29), (11, 10), (3, 24), (19, 22), (3, 22), (21, 3), (11, 20), (2, 19), (7, 25), (23, 3), (9, 5), (5, 8), (24, 4), (16, 14), (16, 24), (28, 13), (20, 0), (21, 2), (1, 6), (7, 29), (6, 8), (12, 26), (14, 8), (29, 26), (3, 9), (19, 1), (4, 4), (12, 16), (3, 20), (24, 12), (7, 14), (27, 5), (30, 1), (17, 5), (19, 0), (30, 26), (31, 11), (6, 16), (22, 30), (28, 5), (17, 2), (6, 24), (4, 13), (3, 10), (29, 30), (32, 12), (1, 20), (17, 30), (19, 2), (29, 8), (16, 4), (26, 1), (10, 30), (15, 12), (4, 3), (8, 8), (32, 21), (8, 27), (21, 29), (22, 26), (0, 19), (18, 2), (29, 9), (0, 20), (29, 29), (1, 21), (11, 4), (10, 18), (2, 27), (10, 25), (25, 0), (31, 13), (6, 1), (14, 25), (25, 22), (25, 28), (13, 17), (15, 2), (14, 4), (18, 4), (13, 3), (22, 19), (21, 28), (22, 29), (8, 2), (19, 23), (31, 27), (12, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 33x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 1), (28, 18), (16, 8), (21, 11), (10, 17), (31, 16), (11, 28), (0, 32), (19, 23), (13, 26), (27, 3), (17, 18), (24, 11), (12, 27), (13, 14), (10, 31), (15, 16), (3, 6), (14, 32), (17, 4), (30, 5), (5, 19), (3, 32), (12, 15), (26, 29), (30, 22), (29, 30), (31, 19), (28, 31), (8, 16), (17, 2), (5, 7), (26, 7), (19, 20), (10, 2), (10, 11), (13, 2), (17, 13), (7, 18), (7, 7), (13, 12), (21, 10), (27, 14), (27, 19), (31, 10), (14, 18), (9, 31), (11, 16), (29, 22), (21, 16), (27, 32), (25, 6), (4, 21), (23, 3), (27, 18), (13, 4), (10, 8), (15, 13), (6, 24), (29, 10), (8, 8), (14, 24), (27, 0), (8, 32), (15, 4), (0, 28), (6, 23), (14, 25), (29, 17), (19, 29), (1, 5), (5, 18), (2, 16), (15, 12), (11, 2), (8, 1), (28, 17), (1, 4), (30, 24), (32, 14), (13, 16), (6, 2), (17, 15), (7, 25), (29, 9), (19, 18), (3, 3), (18, 12), (13, 24), (26, 19), (6, 21), (26, 0), (26, 27), (0, 24), (2, 31), (17, 7), (6, 10), (25, 17), (18, 10), (14, 6), (12, 12), (30, 1), (13, 0), (12, 1), (4, 6), (11, 5), (8, 5), (23, 9), (10, 1), (9, 14), (7, 30), (3, 7), (32, 20), (10, 0), (31, 21), (24, 5), (15, 9), (29, 2), (0, 17), (5, 27), (15, 7), (23, 2), (17, 0), (0, 13), (19, 15), (20, 32), (22, 4), (32, 9), (25, 30), (31, 29), (4, 0), (11, 1), (9, 13), (15, 8), (5, 20), (3, 18), (32, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 18), (19, 8), (18, 34), (29, 11), (8, 15), (12, 28), (21, 10), (33, 18), (24, 2), (36, 2), (30, 7), (3, 7), (3, 11), (15, 14), (17, 10), (5, 5), (34, 9), (24, 26), (12, 26), (4, 12), (20, 7), (4, 33), (29, 23), (9, 11), (20, 13), (13, 1), (17, 33), (32, 30), (7, 15), (1, 17), (23, 9), (16, 29), (27, 11), (11, 5), (31, 21), (9, 14), (28, 21), (31, 3), (22, 24), (0, 15), (12, 10), (10, 4), (22, 17), (14, 23), (25, 30), (35, 25), (31, 31), (7, 8), (5, 25), (2, 3), (3, 9), (25, 12), (17, 7), (21, 6), (8, 6), (0, 17), (13, 25), (9, 30), (14, 14), (5, 14), (32, 18), (36, 28), (18, 17), (22, 10), (5, 29), (16, 14), (1, 19), (26, 27), (1, 28), (34, 26), (26, 12), (18, 33), (18, 4), (16, 22), (17, 11), (28, 28), (14, 4), (27, 0), (16, 20), (17, 6), (27, 28), (13, 4), (24, 23), (8, 20), (13, 33), (16, 16), (2, 19), (7, 27), (25, 34), (30, 27), (29, 27), (33, 21), (6, 22), (8, 31), (10, 19), (7, 17), (8, 9), (28, 27), (4, 20), (15, 18), (29, 12), (24, 7), (4, 30), (23, 15), (12, 25), (7, 23), (14, 3), (35, 5), (16, 23), (30, 16), (9, 13), (11, 18), (11, 2), (31, 20), (2, 10), (24, 17), (5, 13), (11, 9), (21, 14), (13, 18), (20, 9), (17, 12), (7, 13), (22, 16), (2, 29), (35, 32), (33, 11), (5, 33), (15, 23), (9, 27), (11, 25), (18, 20), (9, 9), (18, 16), (26, 28), (29, 31), (10, 9), (31, 23), (27, 14), (3, 16), (2, 20), (0, 27), (28, 18), (4, 24), (7, 21), (25, 18), (10, 34), (5, 24), (12, 11), (17, 3), (2, 13), (6, 15), (20, 2), (19, 2), (32, 27), (2, 24), (22, 5), (13, 26), (21, 25), (5, 23), (31, 7), (29, 7), (2, 2), (34, 0), (16, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 6), (25, 4), (19, 17), (25, 1), (4, 12), (20, 32), (31, 32), (13, 16), (25, 16), (32, 9), (32, 30), (0, 7), (32, 31), (30, 7), (1, 2), (18, 24), (25, 11), (11, 17), (5, 8), (3, 18), (17, 18), (6, 2), (1, 33), (16, 32), (5, 10), (16, 10), (32, 22), (29, 12), (23, 30), (10, 28), (22, 16), (21, 21), (7, 26), (3, 21), (24, 10), (25, 9), (33, 33), (26, 19), (19, 8), (33, 10), (2, 31), (34, 8), (3, 19), (27, 5), (13, 25), (4, 20), (14, 16), (9, 25), (10, 3), (7, 32), (17, 20), (18, 31), (34, 15), (2, 32), (17, 23), (22, 5), (21, 34), (25, 24), (31, 27), (27, 32), (2, 14), (33, 12), (18, 8), (2, 30), (31, 28), (30, 8), (22, 26), (18, 12), (2, 26), (3, 10), (17, 1), (26, 28), (11, 4), (8, 25), (31, 4), (10, 22), (10, 30), (10, 5), (10, 13), (26, 24), (14, 13), (24, 7), (16, 6), (29, 0), (20, 29), (5, 3), (32, 7), (23, 22), (13, 30), (3, 32), (21, 2), (19, 1), (27, 26), (15, 35), (7, 27), (19, 34), (28, 35), (11, 29), (23, 6), (0, 5), (21, 5), (0, 4), (30, 32), (31, 21), (1, 28), (27, 21), (24, 22), (28, 13), (22, 20), (26, 11), (22, 3), (34, 23), (1, 11), (34, 29), (5, 15), (7, 4), (12, 35), (23, 34), (31, 17), (25, 30), (3, 30), (20, 28), (12, 20), (24, 28), (25, 17), (16, 17), (14, 12), (17, 2), (31, 6), (17, 12), (21, 15), (20, 4), (31, 24), (32, 32), (19, 22), (19, 19), (13, 32), (14, 22), (4, 5), (22, 13), (30, 33), (16, 24), (14, 31), (2, 15), (2, 3), (26, 8), (8, 20), (12, 10), (24, 3), (17, 26), (2, 11), (21, 13), (0, 24), (8, 30), (27, 30), (22, 29), (28, 11), (10, 16), (19, 11), (25, 6), (21, 30), (14, 34), (30, 20), (5, 2), (22, 18), (22, 17), (13, 20), (6, 8), (12, 27), (23, 11), (17, 13), (26, 22), (18, 30), (1, 14), (24, 18), (27, 18), (29, 5), (13, 17), (32, 12), (16, 20), (17, 22), (20, 6), (12, 33), (2, 23), (14, 17), (1, 16), (20, 12), (12, 30), (5, 18), (26, 35), (32, 8), (18, 10), (32, 2), (15, 15), (0, 27), (25, 2), (12, 34), (25, 0), (29, 23), (7, 21), (0, 11), (19, 5), (3, 35), (2, 12), (0, 10), (29, 22), (0, 12), (17, 4), (27, 12), (6, 0), (11, 33), (11, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 0), (36, 28), (35, 16), (24, 34), (25, 32), (9, 10), (27, 1), (21, 28), (21, 19), (22, 18), (14, 3), (36, 8), (16, 12), (26, 11), (10, 28), (5, 16), (23, 23), (2, 34), (22, 32), (26, 19), (31, 13), (35, 8), (24, 17), (3, 27), (38, 30), (22, 5), (3, 22), (22, 16), (15, 16), (21, 25), (4, 23), (16, 27), (22, 17), (8, 14), (11, 33), (27, 21), (8, 0), (1, 25), (29, 4), (36, 23), (35, 18), (12, 21), (16, 24), (21, 11), (35, 34), (0, 6), (11, 23), (21, 30), (1, 15), (32, 35), (26, 30), (29, 19), (7, 8), (11, 4), (28, 23), (22, 4), (26, 14), (28, 10), (20, 17), (1, 10), (25, 13), (30, 18), (26, 3), (29, 17), (12, 35), (4, 3), (38, 25), (22, 9), (37, 4), (1, 12), (22, 8), (21, 26), (23, 7), (22, 34), (11, 2), (12, 32), (29, 11), (8, 16), (34, 30), (2, 4), (20, 28), (28, 8), (11, 35), (6, 14), (24, 11), (26, 12), (30, 21), (14, 18), (6, 29), (16, 6), (9, 29), (28, 34), (36, 20), (31, 23), (29, 35), (33, 33), (17, 17), (5, 23), (37, 7), (12, 19), (29, 6), (28, 11), (4, 1), (29, 12), (26, 8), (34, 17), (5, 7), (6, 22), (28, 25), (13, 9), (20, 0), (25, 35), (1, 35), (9, 0), (35, 30), (0, 1), (18, 7), (33, 29), (23, 24), (23, 15), (37, 27), (11, 31), (35, 21), (17, 24), (26, 27), (32, 17), (35, 1), (34, 5), (30, 26), (5, 35), (15, 35), (29, 32), (38, 12), (7, 33), (26, 23), (25, 24), (36, 11), (7, 22), (10, 19), (3, 24), (17, 29), (14, 13), (12, 22), (33, 24), (19, 20), (6, 30), (3, 25), (13, 6), (23, 16), (23, 8), (31, 2), (23, 25), (33, 31), (7, 9), (26, 21), (3, 11), (31, 34), (5, 15), (32, 4), (3, 2), (28, 14), (15, 27), (24, 24), (31, 31), (30, 4), (2, 0), (26, 18), (25, 11), (31, 5), (36, 4), (29, 15), (0, 35), (3, 18), (14, 4), (9, 35), (32, 3), (9, 20), (37, 35), (27, 6), (27, 13), (30, 24), (1, 34), (33, 19), (12, 0), (18, 9), (8, 34), (1, 13), (0, 31), (33, 20), (3, 35), (34, 1), (6, 12), (16, 19), (15, 11), (9, 15), (32, 33), (25, 3), (3, 31), (27, 11), (23, 20), (0, 24), (18, 19), (28, 6), (38, 31), (32, 11), (25, 23), (22, 6), (17, 18), (13, 21), (8, 28), (8, 12), (37, 33), (28, 33), (9, 34), (15, 4), (2, 28), (15, 34), (20, 5), (13, 18), (13, 7), (25, 0), (35, 19), (14, 7), (20, 6), (6, 16), (1, 33), (19, 9), (18, 17), (17, 23), (10, 16), (24, 7), (9, 18), (4, 26), (24, 18), (0, 15), (25, 14), (20, 12), (35, 7), (35, 24), (31, 12), (37, 9), (8, 17), (21, 21), (20, 15), (34, 27), (38, 9), (33, 9), (37, 19), (34, 28), (22, 31), (21, 17), (15, 23), (2, 21), (33, 28), (8, 32), (16, 32), (36, 30), (29, 22), (11, 20), (34, 16), (1, 27), (3, 19), (9, 24), (29, 34), (13, 17), (36, 22), (36, 5), (10, 9), (18, 6), (26, 35), (30, 12), (27, 30), (37, 22), (1, 19), (12, 34), (31, 10), (24, 29), (28, 28), (30, 35)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 16), (33, 34), (29, 6), (2, 31), (11, 32), (1, 31), (24, 2), (13, 12), (11, 25), (6, 32), (6, 22), (5, 19), (30, 3), (7, 28), (4, 9), (13, 3), (3, 22), (12, 8), (31, 37), (13, 13), (14, 7), (23, 18), (19, 33), (33, 15), (20, 22), (3, 5), (25, 22), (28, 14), (19, 36), (28, 13), (33, 30), (22, 16), (3, 4), (25, 11), (17, 24), (13, 17), (32, 35), (24, 17), (15, 29), (22, 5), (24, 22), (32, 20), (21, 29), (23, 2), (0, 7), (2, 36), (8, 20), (1, 24), (7, 11), (29, 27), (10, 32), (30, 32), (23, 10), (13, 33), (16, 13), (12, 20), (27, 36), (2, 15), (33, 20), (33, 27), (31, 4), (21, 10), (30, 29), (21, 17), (5, 2), (10, 1), (3, 37), (33, 28), (19, 8), (8, 31), (4, 5), (31, 24), (4, 16), (32, 23), (2, 7), (9, 17), (6, 0), (23, 9), (20, 4), (26, 36), (12, 22), (11, 22), (29, 33), (33, 37), (21, 22), (9, 31), (32, 29), (31, 12), (33, 0), (11, 8), (1, 23), (6, 1), (4, 35), (18, 13), (1, 11), (1, 36), (0, 16), (22, 25), (31, 15), (28, 19), (1, 22), (17, 12), (31, 5), (31, 16), (5, 36), (20, 37), (15, 0), (20, 26), (21, 5), (14, 1), (16, 5), (28, 24), (7, 6), (34, 11), (33, 18), (6, 37), (29, 11), (13, 30), (25, 25), (26, 37), (6, 13), (10, 21), (26, 26), (34, 3), (21, 6), (12, 17), (8, 26), (20, 24), (27, 33), (1, 35), (13, 6), (1, 5), (4, 25), (24, 15), (1, 13), (12, 18), (23, 11), (21, 28), (22, 29), (6, 11), (32, 13), (9, 37), (17, 13), (29, 13), (7, 5), (24, 11), (26, 17), (10, 7), (22, 27), (23, 7), (34, 5), (0, 36), (32, 27), (22, 20), (34, 29), (9, 12), (7, 37), (27, 0), (34, 26), (3, 6), (16, 18), (1, 20), (29, 31), (34, 20), (27, 24), (5, 22), (25, 23), (34, 14), (19, 3), (21, 8), (10, 22), (10, 31), (19, 4), (22, 21), (7, 34), (7, 0), (9, 20), (11, 11), (16, 21), (13, 31), (6, 6), (31, 32), (24, 9), (13, 7), (12, 11), (2, 29), (2, 13), (25, 5), (20, 12), (18, 6), (20, 11), (11, 13), (0, 28), (6, 8), (6, 2), (7, 25), (29, 36), (2, 27), (2, 26), (26, 8), (23, 26), (9, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 18), (18, 9), (23, 10), (20, 19), (0, 7), (27, 0), (30, 25), (11, 24), (16, 15), (18, 24), (25, 23), (27, 19), (17, 11), (21, 3), (9, 4), (7, 7), (25, 21), (14, 6), (14, 9), (22, 29), (16, 9), (21, 28), (12, 15), (16, 14), (12, 8), (25, 28), (6, 6), (12, 18), (16, 0), (7, 12), (1, 18), (14, 10), (30, 12), (29, 29), (27, 23), (22, 16), (23, 17), (17, 1), (10, 21), (30, 27), (3, 8), (20, 25), (0, 2), (0, 11), (3, 22), (22, 19), (27, 11), (28, 16), (30, 7), (15, 0), (28, 28), (21, 14), (1, 26), (19, 20), (0, 6), (20, 4), (10, 7), (21, 15), (26, 2), (2, 14), (9, 26), (2, 0), (22, 10), (0, 22), (19, 2), (6, 28), (26, 9), (12, 4), (9, 14), (11, 22), (18, 15), (25, 12), (11, 4), (20, 3), (11, 7), (8, 20), (17, 16), (15, 29), (11, 23), (13, 25), (29, 24), (4, 12), (26, 17), (27, 2), (11, 21), (17, 4), (23, 14), (23, 11), (8, 19), (24, 19), (17, 2), (3, 27), (25, 3), (13, 2), (15, 28), (5, 19), (15, 2), (0, 27), (4, 29), (8, 21), (7, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 6), (17, 20), (26, 26), (16, 16), (5, 31), (11, 22), (29, 26), (1, 27), (23, 5), (14, 20), (12, 24), (25, 21), (9, 9), (26, 6), (10, 3), (7, 33), (24, 12), (5, 8), (26, 10), (20, 26), (14, 30), (7, 23), (2, 32), (29, 21), (18, 16), (21, 11), (2, 11), (15, 11), (19, 24), (3, 33), (2, 9), (29, 27), (25, 14), (16, 0), (15, 33), (19, 29), (8, 15), (9, 4), (18, 1), (26, 0), (21, 27), (1, 20), (26, 11), (14, 18), (7, 25), (29, 22), (14, 28), (14, 8), (7, 29), (0, 21), (24, 25), (6, 19), (1, 7), (22, 2), (5, 21), (17, 26), (15, 0), (20, 7), (17, 28), (20, 8), (6, 9), (5, 22), (13, 33), (2, 13), (17, 8), (2, 10), (22, 12), (6, 2), (15, 9), (4, 0), (12, 29), (1, 24), (4, 9), (11, 31), (19, 4), (5, 29), (11, 29), (11, 9), (5, 7), (13, 14), (18, 4), (12, 10), (4, 12), (19, 10), (16, 32), (16, 33), (6, 25), (15, 28), (1, 9), (8, 14), (21, 19), (27, 12), (19, 32), (20, 15), (6, 33), (4, 4), (16, 13), (25, 26), (29, 9), (10, 8), (0, 2), (25, 15), (27, 16), (4, 33), (5, 27), (17, 5), (12, 17), (14, 22), (3, 31), (0, 16), (18, 8), (25, 10), (15, 10), (16, 4), (28, 9), (20, 19), (9, 18), (27, 32), (3, 25), (16, 14), (21, 24), (3, 16), (12, 30), (28, 18), (28, 30), (2, 0), (26, 12), (15, 4), (18, 13), (12, 9), (10, 18), (17, 19), (19, 11), (13, 19), (4, 13), (4, 15), (10, 13), (9, 24), (15, 19), (6, 7), (17, 3), (23, 7), (17, 27), (22, 10), (15, 24), (24, 4), (6, 16), (19, 27), (1, 18), (0, 29), (28, 24), (25, 12), (20, 22), (26, 30), (22, 7), (24, 2), (9, 27), (18, 32), (0, 24), (21, 10), (20, 6), (9, 30), (10, 32), (20, 28), (11, 23), (1, 12), (28, 26), (4, 18), (2, 12), (18, 28), (8, 2), (24, 22), (25, 33), (22, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 25), (10, 6), (4, 27), (5, 2), (8, 23), (29, 19), (1, 20), (10, 28), (29, 11), (15, 16), (29, 4), (18, 30), (25, 28), (20, 1), (25, 2), (26, 16), (32, 25), (6, 26), (24, 25), (10, 4), (22, 25), (35, 10), (9, 12), (34, 4), (26, 19), (12, 25), (7, 6), (31, 6), (31, 16), (18, 23), (3, 25), (7, 14), (26, 5), (4, 1), (29, 29), (13, 29), (20, 15), (26, 7), (33, 28), (33, 1), (20, 4), (30, 14), (17, 19), (29, 6), (25, 4), (34, 27), (32, 21), (18, 2), (29, 26), (3, 27), (24, 21), (19, 29), (35, 9), (18, 1), (8, 14), (17, 31), (0, 26), (23, 25), (6, 19), (27, 11), (14, 12), (27, 13), (20, 21), (24, 9), (35, 23), (27, 19), (35, 4), (28, 26), (22, 17), (0, 28), (22, 27), (5, 21), (25, 31), (26, 23), (13, 16), (19, 30), (15, 2), (14, 9), (30, 2), (34, 11), (24, 6), (9, 7), (6, 22), (9, 8), (17, 28), (2, 6), (21, 9), (1, 11), (31, 27), (20, 19), (29, 22), (0, 22), (24, 11), (6, 29), (30, 20), (34, 23), (18, 10), (25, 25), (12, 0), (30, 28), (34, 10), (21, 22), (3, 7), (7, 31), (28, 14), (25, 26), (27, 5), (16, 20), (13, 20), (16, 12), (35, 20), (10, 18), (0, 12), (17, 24), (14, 30), (11, 10), (30, 4), (0, 30), (3, 20), (24, 27), (30, 7), (25, 29), (26, 30), (29, 0), (1, 24), (6, 2), (3, 24), (15, 6), (22, 19), (15, 17), (12, 4), (29, 12), (8, 17), (12, 27), (8, 11), (16, 0), (31, 13), (6, 31), (15, 10), (33, 22), (34, 5), (9, 24), (0, 29), (31, 10), (15, 30), (4, 28), (9, 2), (5, 31), (9, 0), (19, 27), (27, 2), (29, 1), (1, 28), (5, 18), (26, 4), (10, 15), (20, 27), (3, 12), (16, 29), (30, 6), (32, 8), (9, 13), (26, 3), (24, 30), (0, 14), (4, 22), (22, 13), (18, 0), (11, 30), (20, 16), (16, 3), (5, 10), (21, 28), (20, 9), (9, 1), (29, 8), (32, 24), (3, 13), (30, 24), (23, 30), (4, 16), (12, 28), (7, 13), (33, 21), (12, 30), (6, 3), (14, 20), (23, 29), (20, 8), (32, 19), (1, 1), (22, 16), (33, 18), (16, 11), (13, 2), (18, 16), (6, 20), (27, 21), (4, 17), (14, 31), (34, 12), (2, 10), (5, 8), (5, 23), (21, 2), (8, 3), (11, 22), (2, 27), (27, 23), (5, 7), (6, 5), (28, 0), (28, 4), (25, 21), (10, 29), (16, 21), (13, 5), (0, 5), (0, 20), (19, 19), (6, 1), (10, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 38x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 27), (16, 9), (5, 5), (27, 16), (24, 0), (17, 1), (4, 8), (6, 29), (26, 15), (15, 21), (13, 5), (11, 5), (1, 20), (7, 0), (12, 7), (12, 12), (8, 18), (17, 25), (34, 12), (13, 19), (8, 4), (34, 17), (3, 27), (21, 20), (11, 22), (35, 3), (20, 25), (33, 23), (5, 1), (37, 26), (10, 18), (23, 29), (17, 15), (23, 2), (9, 14), (1, 0), (15, 11), (17, 9), (0, 27), (12, 4), (13, 28), (3, 12), (23, 3), (11, 3), (34, 18), (35, 14), (32, 5), (1, 28), (0, 29), (0, 11), (2, 14), (36, 26), (14, 10), (5, 20), (25, 11), (18, 8), (8, 25), (5, 4), (31, 9), (6, 25), (37, 13), (26, 19), (20, 10), (6, 22), (27, 25), (23, 6), (30, 1), (8, 0), (32, 17), (14, 24), (7, 14), (3, 8), (31, 22), (3, 1), (26, 10), (2, 9), (13, 3), (5, 21), (3, 28), (28, 29), (22, 24), (4, 7), (33, 7), (7, 18), (33, 28), (19, 11), (29, 20), (25, 26), (1, 5), (30, 7), (29, 14), (9, 28), (31, 6), (3, 13), (34, 25), (9, 15), (9, 23), (0, 15), (1, 10), (0, 6), (29, 2), (13, 26), (2, 15), (27, 23), (19, 26), (11, 1), (13, 16), (26, 21), (34, 3), (17, 7), (21, 9), (0, 22), (0, 26), (5, 17), (2, 10), (32, 1), (19, 5), (12, 28), (7, 20), (37, 12), (30, 9), (11, 4), (1, 2), (23, 20), (18, 13), (4, 12), (14, 6), (20, 5), (34, 11), (10, 3), (9, 27), (12, 29), (24, 9), (12, 14), (9, 29), (20, 7), (28, 2), (21, 16), (4, 9), (7, 4), (34, 9), (12, 8), (17, 29), (2, 19), (21, 27), (17, 0), (14, 0), (12, 17), (25, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 15), (21, 27), (4, 29), (27, 22), (15, 27), (7, 30), (1, 0), (26, 13), (0, 29), (20, 9), (6, 10), (24, 29), (22, 14), (27, 3), (20, 26), (0, 22), (11, 11), (29, 3), (2, 19), (27, 0), (26, 5), (1, 13), (4, 16), (3, 31), (2, 23), (10, 22), (5, 5), (20, 17), (28, 32), (29, 19), (26, 14), (13, 2), (11, 29), (23, 10), (26, 30), (2, 3), (24, 5), (0, 32), (18, 21), (11, 8), (10, 15), (29, 11), (20, 0), (19, 20), (18, 29), (27, 24), (18, 10), (15, 21), (19, 22), (9, 13), (12, 27), (13, 7), (7, 14), (2, 26), (7, 4), (23, 24), (4, 19), (9, 14), (14, 0), (11, 21), (5, 19), (19, 29), (4, 0), (27, 19), (14, 2), (23, 29), (8, 6), (24, 14), (7, 18), (24, 9), (11, 2), (20, 8), (26, 8), (5, 30), (29, 9), (13, 24), (15, 30), (15, 26), (18, 24), (7, 20), (6, 28), (24, 10), (22, 31), (18, 19), (23, 31), (3, 25), (14, 28), (0, 10), (22, 15), (18, 17), (23, 28), (4, 22), (7, 3), (4, 14), (15, 12), (17, 20), (13, 29), (9, 30), (19, 0), (18, 27), (14, 23), (11, 5), (5, 0), (22, 23), (12, 21), (4, 26), (1, 11), (23, 11), (23, 17), (8, 25), (7, 0), (15, 2), (1, 23), (16, 23), (20, 23), (19, 16), (18, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "In a 33x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 14), (19, 9), (14, 30), (11, 10), (5, 20), (2, 17), (32, 31), (12, 14), (4, 1), (29, 19), (20, 18), (0, 21), (25, 34), (22, 22), (25, 0), (3, 11), (6, 33), (22, 3), (29, 32), (4, 19), (4, 21), (20, 31), (18, 5), (17, 9), (25, 19), (18, 17), (6, 8), (10, 16), (5, 27), (27, 0), (4, 28), (15, 0), (2, 16), (25, 4), (14, 17), (7, 35), (4, 31), (31, 15), (18, 33), (2, 28), (20, 17), (27, 27), (17, 32), (30, 7), (1, 17), (19, 3), (20, 16), (31, 4), (30, 16), (32, 11), (19, 29), (16, 15), (27, 12), (22, 17), (14, 20), (14, 5), (18, 2), (11, 7), (4, 14), (13, 28), (1, 15), (5, 30), (13, 24), (12, 12), (17, 34), (28, 28), (29, 8), (22, 7), (21, 9), (0, 9), (6, 0), (3, 16), (21, 29), (17, 0), (15, 8), (19, 18), (15, 3), (22, 10), (19, 0), (19, 32), (32, 10), (2, 25), (24, 0), (18, 12), (32, 29), (1, 28), (8, 7), (5, 16), (3, 6), (13, 17), (19, 10), (25, 25), (24, 16), (21, 20), (3, 7), (7, 32), (6, 24), (21, 16), (26, 20), (16, 23), (28, 22), (16, 19), (19, 1), (23, 23), (1, 30), (27, 33), (28, 0), (15, 30), (30, 34), (32, 19), (10, 32), (20, 19), (19, 20), (19, 17), (6, 27), (21, 12), (29, 22), (8, 15), (7, 10), (11, 34), (3, 10), (22, 27), (4, 13), (12, 16), (2, 2), (30, 22), (2, 15), (16, 12), (7, 11), (21, 3), (26, 19), (11, 25), (25, 33), (15, 28), (14, 25), (32, 25), (4, 8), (26, 5), (6, 28), (30, 27), (4, 2), (27, 19), (19, 4), (12, 2), (13, 23), (20, 28), (20, 22), (27, 21), (18, 30), (2, 18), (27, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 30x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 0), (19, 8), (28, 16), (7, 15), (17, 19), (1, 14), (4, 8), (3, 22), (13, 13), (25, 5), (28, 6), (26, 6), (16, 26), (22, 8), (17, 16), (27, 33), (27, 2), (5, 26), (16, 33), (26, 36), (7, 16), (21, 20), (6, 15), (28, 12), (26, 17), (2, 34), (28, 34), (24, 22), (21, 12), (28, 13), (20, 31), (26, 2), (2, 4), (27, 15), (29, 8), (28, 4), (26, 22), (21, 17), (16, 35), (12, 26), (13, 36), (15, 1), (20, 8), (13, 31), (18, 15), (15, 4), (11, 12), (25, 12), (18, 16), (1, 29), (23, 12), (24, 31), (11, 9), (27, 17), (23, 29), (5, 17), (22, 21), (9, 22), (18, 8), (27, 34), (19, 31), (16, 4), (0, 9), (28, 18), (28, 33), (9, 37), (24, 20), (11, 6), (16, 29), (4, 35), (4, 25), (9, 2), (25, 37), (10, 18), (10, 27), (25, 27), (18, 27), (24, 19), (13, 11), (25, 28), (19, 32), (17, 14), (10, 1), (15, 22), (14, 37), (15, 8), (29, 6), (2, 12), (10, 16), (7, 18), (26, 11), (18, 32), (11, 18), (9, 14), (8, 7), (6, 13), (9, 7), (1, 13), (13, 8), (11, 24), (12, 29), (15, 12), (1, 27), (27, 30), (2, 30), (12, 19), (22, 1), (1, 11), (12, 15), (23, 14), (23, 27), (5, 37), (1, 6), (26, 24), (26, 10), (3, 17), (17, 10), (8, 15), (21, 7), (3, 36), (3, 14), (4, 6), (3, 11), (24, 30), (5, 15), (10, 3), (19, 24), (9, 6), (4, 12), (29, 1), (14, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 24), (25, 9), (9, 16), (8, 20), (27, 23), (13, 11), (18, 2), (27, 11), (8, 19), (25, 28), (2, 26), (30, 26), (8, 22), (21, 18), (6, 11), (9, 8), (6, 27), (16, 0), (8, 17), (14, 26), (19, 29), (0, 3), (17, 15), (5, 13), (17, 14), (21, 27), (11, 11), (11, 2), (20, 8), (30, 15), (19, 19), (29, 23), (26, 0), (9, 2), (24, 23), (2, 4), (11, 6), (30, 16), (8, 26), (11, 27), (11, 16), (0, 5), (3, 0), (4, 3), (29, 8), (16, 18), (14, 12), (27, 24), (22, 14), (20, 16), (23, 14), (12, 0), (2, 7), (27, 12), (12, 10), (11, 0), (1, 4), (7, 26), (30, 5), (29, 17), (6, 5), (10, 16), (2, 21), (7, 18), (7, 2), (11, 12), (8, 6), (0, 15), (23, 15), (21, 2), (12, 24), (7, 27), (20, 22), (4, 7), (7, 15), (21, 8), (5, 20), (7, 25), (20, 28), (20, 14), (7, 5), (12, 5), (25, 27), (28, 12), (30, 7), (20, 10), (4, 2), (28, 9), (19, 14), (19, 13), (29, 26), (18, 5), (9, 20), (8, 29), (11, 5), (24, 6), (21, 23), (9, 25), (16, 20), (1, 5), (10, 27), (18, 6), (29, 14), (14, 17), (30, 0), (11, 19), (2, 6), (17, 17), (1, 19), (17, 22), (0, 9), (5, 23), (24, 29), (10, 13), (11, 1), (6, 2), (12, 1), (11, 26), (6, 8), (30, 13), (12, 22), (10, 7), (5, 6), (20, 17), (27, 14), (9, 23), (14, 1), (21, 21), (19, 5), (13, 9), (8, 4), (0, 28), (4, 11), (17, 12), (25, 20), (12, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 17), (24, 16), (14, 28), (15, 16), (2, 1), (12, 8), (0, 12), (24, 14), (29, 25), (16, 18), (11, 28), (0, 7), (8, 11), (4, 12), (26, 11), (4, 14), (6, 7), (27, 2), (3, 25), (8, 20), (1, 7), (12, 1), (5, 10), (4, 9), (20, 27), (23, 19), (2, 14), (24, 17), (10, 11), (24, 29), (1, 13), (29, 23), (24, 3), (9, 29), (29, 6), (18, 25), (18, 17), (18, 22), (22, 4), (26, 24), (19, 25), (14, 13), (25, 4), (7, 22), (27, 10), (0, 29), (0, 4), (20, 18), (3, 0), (23, 17), (6, 26), (2, 21), (10, 29), (30, 26), (30, 20), (12, 2), (20, 24), (2, 17), (29, 4), (14, 27), (0, 24), (13, 2), (26, 0), (11, 1), (3, 27), (26, 7), (20, 14), (1, 8), (10, 16), (23, 26), (5, 1), (19, 3), (25, 27), (17, 15), (1, 1), (15, 21), (18, 14), (22, 8), (4, 19), (9, 27), (2, 27), (16, 2), (2, 7), (17, 9), (2, 12), (27, 11), (3, 20), (30, 16), (6, 23), (26, 25), (23, 28), (3, 21), (24, 22), (13, 6), (27, 3), (14, 16), (14, 11), (16, 4), (15, 24), (20, 16), (18, 11), (9, 22), (6, 0), (23, 24), (11, 11), (21, 4), (4, 2), (9, 10), (12, 0), (22, 9), (1, 6), (2, 22), (22, 6), (20, 0), (13, 13), (17, 12), (19, 13), (12, 12), (22, 0), (28, 2), (25, 21), (28, 13), (2, 6), (4, 25), (16, 10), (15, 25), (4, 5), (10, 6), (19, 20), (26, 21), (18, 1), (18, 28), (17, 25), (8, 4), (8, 9), (30, 21), (10, 27), (9, 14), (20, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 24), (17, 11), (21, 10), (9, 7), (10, 4), (16, 22), (0, 27), (4, 23), (19, 22), (21, 14), (17, 18), (7, 28), (0, 12), (27, 4), (2, 17), (15, 21), (1, 2), (22, 11), (17, 27), (9, 27), (12, 25), (11, 5), (30, 21), (19, 29), (23, 21), (10, 22), (17, 29), (29, 18), (9, 29), (22, 17), (26, 19), (2, 1), (8, 21), (0, 15), (26, 7), (27, 1), (13, 19), (20, 20), (30, 15), (21, 26), (30, 13), (20, 18), (12, 3), (0, 5), (10, 19), (26, 26), (27, 23), (13, 17), (16, 5), (14, 16), (29, 25), (1, 26), (22, 20), (12, 17), (25, 25), (27, 22), (11, 29), (14, 17), (24, 16), (28, 24), (17, 20), (10, 2), (25, 27), (29, 28), (30, 7), (29, 19), (31, 21), (3, 19), (15, 8), (12, 19), (31, 0), (28, 3), (22, 23), (16, 0), (9, 0), (20, 19), (26, 9), (10, 21), (21, 12), (20, 8), (23, 1), (17, 12), (29, 21), (25, 9), (15, 24), (7, 23), (7, 14), (11, 6), (22, 12), (25, 23), (3, 21), (27, 19), (26, 13), (18, 20), (4, 25), (26, 25), (26, 8), (18, 25), (1, 3), (24, 13), (5, 23), (1, 20), (3, 6), (28, 29), (23, 27), (30, 18), (12, 29), (2, 20), (12, 6), (28, 19), (7, 24), (28, 16), (8, 18), (3, 20), (23, 25), (21, 0), (23, 9), (21, 17), (18, 27), (19, 9), (23, 13), (10, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 14), (15, 9), (5, 24), (21, 2), (6, 18), (15, 26), (21, 8), (7, 14), (22, 9), (8, 33), (22, 35), (25, 29), (14, 3), (18, 2), (23, 26), (20, 5), (23, 15), (29, 24), (21, 18), (9, 32), (22, 17), (26, 31), (18, 33), (14, 18), (19, 29), (19, 31), (31, 3), (31, 6), (12, 3), (28, 15), (5, 5), (14, 28), (1, 23), (1, 36), (27, 2), (31, 30), (16, 0), (21, 7), (24, 31), (19, 20), (12, 8), (4, 22), (4, 11), (4, 36), (16, 8), (31, 32), (23, 0), (22, 22), (21, 35), (20, 34), (21, 30), (30, 3), (9, 35), (11, 17), (8, 19), (10, 19), (15, 12), (27, 12), (10, 0), (24, 34), (5, 12), (18, 34), (23, 12), (7, 34), (18, 3), (13, 4), (31, 9), (9, 36), (4, 28), (31, 11), (18, 27), (26, 4), (29, 19), (1, 20), (11, 29), (14, 14), (7, 4), (11, 12), (17, 10), (31, 34), (31, 26), (13, 13), (30, 20), (21, 4), (7, 17), (19, 14), (16, 28), (8, 17), (1, 24), (4, 8), (5, 23), (10, 23), (13, 16), (23, 32), (0, 7), (19, 3), (16, 33), (12, 10), (18, 25), (12, 1), (29, 31), (25, 5), (6, 34), (9, 14), (20, 14), (2, 2), (8, 5), (24, 35), (2, 8), (3, 30), (15, 18), (7, 30), (0, 36), (31, 29), (18, 8), (6, 35), (10, 17), (30, 8), (22, 20), (18, 18), (24, 33), (19, 18), (23, 6), (9, 21), (14, 29), (13, 23), (17, 36), (12, 17), (29, 29), (20, 15), (22, 24), (12, 32), (5, 22), (24, 30), (31, 4), (3, 9), (1, 9), (3, 12), (23, 16), (28, 9), (31, 12), (23, 34), (17, 5), (1, 21), (10, 3), (26, 32), (15, 3), (7, 18), (20, 27), (0, 33), (6, 36), (6, 23), (2, 0), (15, 22), (18, 1), (26, 16), (23, 19), (30, 7), (12, 4), (27, 13), (4, 32), (0, 12), (24, 24), (11, 3), (27, 27), (6, 29), (17, 26), (30, 4), (13, 22), (7, 20), (24, 10), (28, 3), (29, 4), (5, 28), (3, 36), (13, 18), (16, 7), (1, 5), (18, 10), (23, 22), (14, 24), (0, 5), (28, 35), (0, 10), (26, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 38x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 20), (15, 16), (17, 18), (28, 16), (17, 23), (32, 10), (28, 27), (28, 0), (13, 16), (29, 23), (7, 12), (20, 6), (7, 2), (13, 29), (2, 16), (21, 4), (18, 13), (23, 2), (13, 1), (2, 28), (34, 19), (25, 10), (0, 5), (35, 0), (22, 0), (17, 13), (35, 1), (7, 28), (13, 5), (20, 2), (35, 4), (0, 15), (30, 24), (19, 22), (15, 13), (10, 11), (28, 6), (12, 18), (7, 17), (0, 8), (25, 12), (2, 4), (3, 20), (13, 4), (35, 9), (33, 20), (14, 20), (14, 22), (16, 17), (11, 5), (6, 4), (34, 14), (21, 13), (9, 22), (14, 24), (14, 23), (3, 2), (20, 9), (36, 10), (17, 16), (13, 2), (15, 23), (9, 1), (8, 26), (4, 18), (3, 27), (30, 9), (32, 5), (7, 1), (32, 6), (16, 2), (37, 18), (16, 5), (21, 28), (27, 21), (28, 23), (9, 28), (21, 29), (24, 10), (23, 17), (29, 18), (22, 15), (20, 5), (0, 12), (7, 24), (10, 27), (11, 23), (10, 22), (34, 16), (35, 22), (14, 11), (32, 9), (19, 17), (9, 11), (31, 4), (4, 25), (14, 18), (9, 6), (15, 12), (29, 3), (37, 7), (1, 5), (27, 14), (7, 8), (35, 11), (9, 0), (10, 19), (35, 18), (27, 20), (30, 28), (23, 23), (23, 22), (8, 20), (10, 13), (25, 16), (13, 13), (15, 7), (23, 29), (2, 12), (13, 10), (31, 23), (26, 19), (1, 22), (4, 19), (16, 11), (20, 29), (26, 15), (26, 14), (12, 19), (34, 12), (29, 10), (26, 2), (6, 27), (4, 15), (26, 13), (17, 19), (14, 3), (4, 8), (8, 11), (30, 2), (23, 3), (16, 22), (4, 12), (26, 28), (6, 25), (31, 8), (31, 6), (17, 14), (12, 17), (21, 0), (7, 4), (2, 6), (32, 1), (6, 0), (0, 25), (7, 20), (32, 18), (26, 29), (14, 21), (18, 14), (5, 27), (20, 15), (1, 6), (1, 17), (13, 11), (14, 9), (5, 19), (12, 11), (24, 20), (24, 0), (4, 5), (5, 6), (9, 5), (33, 10), (20, 24), (11, 18), (36, 9), (16, 27), (2, 15), (36, 22), (13, 26), (13, 18), (19, 0), (15, 3), (36, 13), (5, 0), (33, 8), (9, 2), (36, 3), (6, 29), (10, 1), (13, 20), (26, 18), (27, 13), (25, 29), (24, 13), (0, 17), (18, 6), (18, 29), (3, 7), (15, 26), (8, 6), (1, 10), (37, 21), (10, 25), (36, 15), (1, 4), (16, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 5), (1, 14), (6, 1), (10, 32), (12, 10), (20, 26), (25, 9), (9, 8), (28, 18), (27, 25), (26, 25), (4, 31), (10, 27), (11, 11), (22, 22), (29, 2), (19, 32), (20, 0), (16, 36), (24, 32), (29, 33), (23, 8), (24, 19), (3, 27), (30, 11), (1, 27), (7, 22), (28, 2), (1, 30), (11, 28), (27, 23), (20, 22), (29, 21), (11, 34), (15, 12), (1, 19), (3, 9), (23, 28), (0, 22), (11, 29), (10, 15), (7, 26), (5, 15), (20, 27), (23, 3), (7, 36), (30, 24), (6, 7), (30, 25), (26, 28), (3, 6), (5, 16), (14, 33), (16, 19), (1, 16), (14, 10), (28, 4), (8, 12), (11, 35), (13, 29), (2, 11), (18, 36), (10, 30), (16, 23), (27, 19), (10, 31), (10, 13), (3, 25), (14, 24), (28, 5), (29, 23), (4, 18), (25, 16), (20, 29), (13, 26), (9, 18), (12, 29), (9, 24), (21, 19), (5, 28), (29, 3), (26, 16), (13, 21), (25, 3), (8, 34), (3, 0), (3, 26), (15, 26), (24, 24), (30, 16), (10, 20), (21, 17), (2, 22), (21, 3), (12, 22), (14, 31), (27, 9), (5, 5), (3, 17), (23, 1), (28, 35), (13, 12), (17, 26), (20, 10), (22, 16), (18, 0), (14, 5), (13, 22), (10, 8), (18, 34), (2, 32), (1, 34), (27, 0), (2, 33), (6, 20), (5, 33), (5, 29), (15, 20), (4, 17), (21, 33), (6, 15), (3, 28), (4, 2), (20, 5), (6, 26), (25, 12), (12, 17), (4, 32), (21, 24), (22, 10), (23, 26), (16, 20), (3, 3), (15, 18), (13, 25), (3, 14), (16, 21), (12, 36), (19, 27), (5, 19), (12, 6), (21, 25), (25, 25), (15, 33), (10, 3), (30, 33), (26, 30), (24, 7), (9, 11), (18, 35), (3, 29), (2, 1), (24, 28), (9, 6), (17, 17), (4, 15), (8, 4), (23, 22), (21, 30), (12, 15), (13, 13), (5, 10), (3, 22), (26, 7), (25, 19), (0, 6), (25, 28), (16, 8), (29, 31), (22, 30), (18, 27), (0, 12), (22, 33), (19, 20), (8, 17), (4, 12), (22, 1), (20, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 37x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 24), (13, 14), (11, 25), (3, 18), (23, 17), (25, 22), (26, 12), (26, 26), (24, 13), (16, 29), (35, 21), (4, 13), (24, 1), (12, 23), (2, 10), (20, 23), (1, 10), (7, 25), (32, 25), (26, 24), (17, 18), (33, 10), (24, 18), (2, 2), (6, 25), (20, 19), (7, 29), (8, 7), (27, 29), (14, 22), (4, 8), (6, 13), (10, 18), (14, 25), (25, 19), (25, 24), (35, 14), (21, 2), (14, 23), (12, 19), (32, 0), (5, 23), (21, 22), (21, 15), (33, 14), (35, 12), (21, 7), (16, 7), (15, 14), (1, 15), (20, 1), (12, 22), (0, 29), (16, 26), (0, 6), (35, 0), (10, 19), (33, 5), (15, 17), (25, 10), (18, 26), (4, 10), (12, 3), (21, 26), (31, 5), (28, 14), (6, 21), (22, 1), (12, 25), (35, 18), (23, 23), (20, 8), (32, 26), (30, 11), (30, 25), (11, 11), (9, 2), (29, 9), (15, 7), (36, 12), (16, 24), (3, 5), (12, 24), (9, 15), (15, 19), (25, 2), (6, 9), (10, 22), (35, 17), (17, 16), (13, 13), (22, 22), (24, 4), (32, 20), (28, 18), (19, 18), (32, 9), (23, 6), (9, 0), (12, 28), (36, 0), (27, 9), (12, 11), (19, 19), (9, 24), (15, 1), (18, 27), (11, 22), (26, 10), (13, 0), (7, 16), (7, 11), (16, 1), (23, 4), (23, 26), (26, 20), (14, 15), (33, 0), (17, 2), (2, 24), (11, 17), (22, 29), (12, 18), (33, 3), (24, 0), (17, 23), (0, 7), (33, 2), (11, 21), (25, 0), (0, 28), (2, 12), (15, 11), (24, 25), (32, 23), (11, 3), (23, 8), (23, 28), (31, 21), (5, 1), (18, 24), (22, 11), (36, 13), (7, 0), (4, 11), (28, 19), (23, 13), (18, 1), (4, 21), (16, 28), (32, 27), (30, 8), (14, 3), (24, 21), (10, 3), (24, 28), (29, 24), (13, 24), (33, 17), (28, 3), (14, 4), (16, 13), (3, 16), (21, 27), (8, 16), (25, 27), (32, 6), (22, 20), (2, 18), (30, 14), (32, 13), (6, 2), (34, 6), (18, 6), (29, 17), (22, 5), (26, 1), (7, 19), (33, 1), (14, 9), (21, 8), (21, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 2), (27, 16), (24, 7), (1, 4), (13, 31), (0, 3), (30, 0), (14, 24), (26, 16), (10, 16), (11, 7), (24, 12), (11, 0), (26, 11), (10, 32), (9, 16), (22, 31), (25, 7), (22, 9), (4, 33), (31, 21), (23, 10), (6, 22), (14, 26), (27, 21), (33, 5), (16, 28), (19, 11), (22, 25), (1, 27), (23, 23), (4, 17), (5, 13), (24, 30), (0, 1), (5, 14), (26, 27), (17, 9), (14, 9), (21, 5), (30, 8), (29, 3), (29, 13), (8, 31), (0, 7), (9, 9), (27, 11), (0, 15), (29, 0), (26, 13), (15, 11), (21, 0), (25, 20), (6, 14), (5, 8), (31, 11), (28, 12), (33, 23), (16, 34), (10, 1), (7, 27), (18, 0), (0, 25), (24, 4), (20, 17), (0, 32), (29, 18), (2, 22), (8, 26), (13, 20), (17, 12), (20, 32), (10, 20), (5, 32), (32, 16), (26, 0), (25, 18), (3, 7), (22, 20), (17, 18), (15, 30), (20, 29), (27, 20), (3, 12), (23, 18), (13, 30), (30, 27), (28, 2), (14, 21), (13, 8), (19, 33), (16, 33), (3, 19), (13, 22), (28, 28), (13, 33), (28, 23), (29, 10), (11, 13), (21, 2), (12, 23), (34, 7), (19, 23), (0, 22), (9, 32), (5, 18), (31, 20), (22, 24), (7, 19), (14, 25), (13, 13), (27, 13), (14, 6), (6, 29), (26, 3), (4, 22), (16, 20), (4, 6), (19, 34), (4, 12), (24, 26), (19, 7), (34, 31), (4, 7), (9, 31), (26, 31), (0, 24), (31, 32), (31, 5), (31, 15), (0, 29), (28, 19), (30, 15), (30, 13), (3, 25), (7, 30), (30, 11), (25, 15), (8, 28), (6, 12), (0, 28), (17, 4), (23, 16), (29, 9), (22, 21), (18, 5), (16, 23), (27, 30), (6, 17), (18, 28), (22, 7), (27, 4), (17, 31), (26, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 34x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 26), (4, 21), (10, 18), (10, 7), (26, 31), (28, 26), (27, 22), (19, 23), (14, 27), (10, 2), (4, 3), (6, 31), (30, 1), (5, 21), (6, 27), (27, 1), (29, 32), (31, 6), (5, 19), (19, 6), (13, 15), (24, 35), (23, 16), (2, 11), (32, 6), (2, 5), (10, 34), (9, 1), (26, 0), (5, 23), (14, 20), (16, 23), (22, 20), (7, 3), (6, 2), (32, 32), (3, 6), (29, 6), (14, 7), (10, 15), (3, 13), (3, 30), (16, 1), (23, 17), (20, 26), (31, 18), (29, 30), (30, 23), (25, 9), (18, 27), (8, 35), (4, 22), (8, 0), (28, 18), (6, 29), (1, 34), (25, 28), (2, 12), (22, 18), (22, 15), (5, 14), (11, 18), (22, 4), (3, 15), (0, 4), (18, 18), (4, 20), (9, 26), (33, 11), (5, 31), (16, 29), (2, 24), (33, 27), (7, 11), (15, 7), (10, 17), (11, 13), (21, 6), (25, 16), (3, 36), (32, 3), (11, 25), (9, 27), (21, 17), (29, 34), (28, 27), (33, 14), (33, 19), (1, 32), (5, 28), (5, 1), (30, 24), (0, 16), (21, 33), (8, 1), (20, 23), (29, 16), (9, 21), (3, 27), (18, 6), (32, 31), (21, 25), (29, 23), (13, 7), (5, 22), (31, 3), (7, 32), (0, 2), (17, 29), (30, 34), (22, 10), (22, 32), (5, 2), (21, 13), (18, 9), (15, 5), (31, 13), (20, 9), (23, 23), (24, 6), (2, 18), (14, 12), (0, 30), (1, 6), (5, 35), (28, 1), (16, 21), (33, 30), (4, 7), (8, 24), (33, 33), (32, 33), (18, 3), (26, 9), (12, 20), (0, 34), (22, 13), (32, 23), (3, 33), (24, 20), (18, 30), (3, 16), (31, 9), (15, 2), (24, 18), (19, 24), (29, 20), (1, 12), (20, 25), (27, 20), (4, 27), (19, 16), (31, 21), (30, 21), (17, 25), (31, 22), (2, 29), (8, 15), (4, 25), (28, 11), (18, 17), (0, 15), (10, 28), (19, 34), (10, 5), (2, 13), (19, 33), (1, 29), (9, 9), (27, 13), (27, 4), (21, 14), (5, 33), (12, 1), (1, 8), (5, 7), (25, 21), (23, 36), (20, 22), (17, 12), (20, 31), (18, 12), (24, 10), (8, 28), (18, 8), (24, 33), (26, 13), (21, 11), (11, 28), (32, 20), (13, 22), (7, 15), (7, 13), (1, 33), (24, 7), (6, 6), (30, 6), (3, 35), (31, 12), (27, 16), (31, 16), (13, 0), (30, 14), (4, 32), (19, 5), (13, 33), (21, 10), (20, 14), (8, 3), (20, 35), (32, 1), (0, 18), (24, 12), (9, 17), (13, 16), (20, 5), (23, 24), (19, 18), (23, 10), (16, 35), (29, 27), (13, 2), (19, 7), (13, 11), (19, 11), (10, 27), (21, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 33x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 8), (14, 33), (25, 0), (11, 7), (1, 20), (0, 3), (5, 17), (9, 31), (26, 8), (32, 34), (17, 25), (26, 12), (1, 18), (10, 17), (31, 0), (22, 36), (0, 35), (30, 7), (3, 11), (32, 27), (13, 4), (24, 26), (9, 21), (13, 24), (7, 0), (5, 19), (9, 35), (22, 15), (11, 24), (29, 13), (15, 0), (7, 21), (17, 26), (8, 8), (28, 36), (30, 14), (7, 11), (28, 0), (24, 19), (23, 18), (28, 14), (27, 35), (4, 17), (14, 13), (29, 27), (19, 1), (18, 8), (31, 9), (14, 36), (3, 3), (17, 10), (15, 18), (20, 36), (25, 13), (27, 23), (2, 5), (18, 17), (3, 20), (24, 10), (9, 32), (5, 33), (26, 7), (23, 36), (4, 0), (29, 35), (26, 16), (25, 25), (22, 31), (13, 30), (21, 4), (32, 8), (6, 14), (11, 0), (32, 31), (7, 34), (1, 33), (24, 12), (8, 17), (17, 36), (7, 33), (24, 24), (21, 24), (28, 29), (13, 36), (28, 18), (26, 11), (19, 31), (25, 34), (18, 23), (26, 30), (21, 34), (22, 23), (11, 2), (9, 22), (2, 12), (17, 34), (2, 11), (15, 20), (8, 15), (27, 15), (3, 6), (17, 21), (22, 3), (17, 0), (4, 16), (25, 18), (23, 13), (16, 10), (8, 10), (7, 30), (16, 8), (11, 31), (17, 17), (22, 20), (10, 18), (17, 35), (21, 14), (4, 14), (23, 16), (28, 3), (20, 26), (31, 23), (23, 20), (18, 13), (15, 23), (4, 5), (22, 16), (11, 4), (15, 36), (24, 9), (32, 32), (11, 17), (10, 0), (30, 9), (7, 4), (12, 11), (7, 7), (9, 29), (23, 3), (21, 12), (6, 21), (8, 11), (19, 36), (29, 10), (14, 17), (27, 30), (30, 21), (8, 27), (6, 16), (12, 5), (32, 12), (2, 14), (13, 20), (12, 30), (7, 24), (23, 15), (28, 33), (31, 26), (20, 7), (0, 6), (15, 25), (24, 23), (30, 0), (20, 3), (17, 19), (26, 5), (18, 35), (1, 22), (8, 20), (12, 12), (20, 1), (21, 33), (6, 26), (1, 8), (1, 16), (23, 6), (0, 23), (1, 15), (27, 10), (31, 32), (2, 16), (10, 31), (11, 27), (20, 24), (16, 35), (26, 31), (9, 12), (14, 7), (24, 11), (17, 18), (5, 4), (9, 18), (14, 35), (24, 31), (26, 4), (9, 15), (30, 20), (4, 4), (17, 32), (22, 18), (12, 20), (26, 22), (6, 6), (0, 1), (21, 1), (29, 34), (2, 30), (26, 17), (8, 4), (23, 34), (24, 0), (12, 15), (9, 23), (9, 4), (17, 20), (8, 25), (25, 27), (0, 29), (27, 26), (2, 33), (14, 5), (5, 15), (29, 33), (0, 13), (17, 3), (1, 36), (10, 27), (3, 35), (28, 4), (30, 2), (16, 30), (8, 3), (4, 30), (18, 27), (27, 22), (19, 28), (29, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 2), (13, 28), (30, 31), (9, 8), (24, 9), (23, 23), (10, 12), (29, 25), (12, 16), (0, 27), (35, 24), (20, 28), (30, 16), (31, 7), (28, 4), (8, 4), (3, 26), (7, 8), (7, 14), (22, 17), (36, 14), (1, 27), (7, 7), (1, 18), (12, 22), (20, 4), (35, 14), (3, 10), (13, 30), (6, 15), (1, 15), (29, 5), (4, 7), (24, 6), (27, 28), (26, 10), (30, 7), (28, 0), (11, 31), (31, 24), (2, 12), (21, 28), (34, 32), (4, 6), (35, 1), (32, 11), (23, 5), (5, 31), (18, 27), (1, 30), (27, 1), (35, 8), (28, 3), (11, 9), (4, 26), (29, 21), (34, 17), (3, 32), (18, 26), (9, 13), (32, 13), (34, 0), (21, 7), (22, 32), (3, 12), (3, 4), (19, 22), (34, 26), (11, 17), (19, 9), (30, 27), (35, 32), (30, 1), (12, 2), (13, 11), (32, 32), (27, 23), (30, 28), (9, 15), (1, 11), (22, 16), (16, 10), (15, 20), (7, 1), (34, 4), (0, 3), (29, 2), (23, 17), (6, 14), (10, 19), (9, 14), (5, 12), (29, 1), (36, 17), (21, 18), (11, 16), (35, 26), (13, 14), (25, 0), (15, 30), (18, 9), (26, 17), (32, 22), (23, 6), (3, 0), (23, 11), (2, 6), (12, 21), (36, 23), (30, 10), (26, 19), (10, 11), (8, 10), (26, 11), (18, 30), (14, 32), (31, 23), (15, 4), (21, 0), (2, 21), (11, 25), (32, 30), (23, 24), (6, 23), (33, 24), (29, 17), (32, 20), (23, 19), (10, 29), (35, 17), (18, 20), (30, 23), (17, 7), (17, 15), (35, 11), (15, 18), (29, 14), (14, 7), (29, 26), (7, 28), (2, 30), (25, 1), (26, 20), (7, 5), (28, 19), (15, 2), (33, 17), (33, 29), (20, 23), (26, 22), (3, 5), (22, 8), (36, 27), (24, 10), (8, 17), (32, 19), (21, 3), (25, 23), (36, 8), (14, 12), (27, 25), (9, 2), (34, 25), (8, 29), (11, 14), (34, 3), (28, 6), (6, 30), (21, 17), (25, 4), (19, 3), (29, 15), (29, 3), (13, 4), (20, 20), (17, 5), (2, 17), (36, 9), (15, 21), (11, 2), (17, 3), (11, 7), (6, 20), (28, 25), (11, 3), (24, 2), (19, 21), (18, 31), (35, 18), (21, 27), (13, 25), (2, 24), (24, 22), (0, 20), (17, 9), (20, 10), (24, 26), (7, 24), (7, 15), (18, 29), (6, 18), (23, 21), (16, 32), (1, 8), (29, 22), (34, 18), (13, 32), (13, 13), (15, 5), (8, 31), (25, 5), (4, 23), (3, 8), (17, 28), (13, 24), (15, 7), (28, 20), (29, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "In a 30x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 9), (29, 22), (16, 22), (3, 28), (11, 2), (16, 26), (26, 11), (26, 16), (20, 29), (2, 6), (8, 22), (28, 16), (10, 14), (11, 31), (17, 12), (19, 10), (12, 12), (12, 33), (0, 16), (16, 29), (11, 8), (20, 0), (27, 17), (1, 10), (8, 1), (8, 17), (0, 30), (0, 31), (29, 31), (3, 8), (9, 3), (2, 33), (21, 29), (19, 19), (26, 19), (26, 2), (7, 29), (24, 9), (18, 4), (11, 21), (16, 3), (7, 0), (20, 12), (20, 13), (17, 31), (3, 17), (20, 26), (29, 23), (19, 1), (17, 10), (20, 19), (10, 16), (9, 15), (5, 7), (9, 19), (28, 18), (15, 19), (6, 28), (16, 6), (1, 31), (14, 24), (4, 24), (25, 30), (23, 13), (0, 2), (8, 25), (22, 28), (29, 4), (24, 12), (6, 16), (8, 18), (6, 27), (19, 3), (10, 22), (9, 26), (0, 8), (12, 10), (16, 27), (24, 14), (12, 5), (11, 14), (13, 14), (26, 21), (19, 7), (23, 6), (14, 12), (24, 30), (15, 16), (2, 16), (9, 17), (22, 9), (22, 2), (9, 22), (9, 33), (17, 29), (0, 19), (19, 25), (18, 19), (1, 8), (0, 1), (19, 20), (2, 14), (17, 5), (8, 26), (20, 25), (5, 4), (9, 1), (23, 20), (25, 23), (19, 29), (3, 15), (21, 12), (29, 10), (21, 18), (25, 32), (11, 28), (14, 13), (8, 14), (9, 27), (23, 32), (4, 6), (7, 6), (14, 2), (23, 8), (13, 2), (15, 25), (14, 0), (12, 18), (18, 11), (27, 32), (6, 4), (12, 32), (19, 32), (6, 6), (28, 2), (22, 17), (2, 7), (3, 4), (6, 30), (29, 18), (6, 32), (29, 5), (26, 1), (19, 23), (18, 31), (11, 26), (9, 10), (6, 29), (2, 4), (24, 20), (4, 13), (21, 19), (14, 21), (18, 1), (2, 27), (20, 33), (4, 9), (26, 33), (4, 14), (4, 19), (22, 10), (13, 1), (27, 4), (29, 15), (6, 33), (1, 25), (19, 27), (0, 29), (8, 33), (28, 17), (28, 29), (18, 15), (3, 11), (29, 24), (20, 16), (11, 17), (3, 25), (7, 22), (3, 27), (20, 9), (27, 3), (14, 30), (22, 3), (15, 28), (3, 31), (24, 1), (1, 27), (15, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 32x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 24), (9, 7), (10, 2), (22, 36), (1, 32), (21, 31), (0, 11), (4, 20), (6, 24), (29, 3), (8, 35), (14, 9), (21, 23), (1, 31), (20, 21), (1, 11), (0, 1), (26, 23), (7, 6), (11, 35), (26, 17), (10, 28), (0, 2), (20, 33), (3, 0), (10, 32), (1, 14), (7, 34), (4, 27), (8, 33), (25, 9), (9, 21), (18, 6), (26, 33), (27, 33), (26, 4), (25, 16), (31, 22), (24, 5), (24, 28), (13, 0), (17, 11), (18, 24), (13, 1), (5, 29), (10, 4), (0, 7), (24, 16), (27, 25), (2, 1), (28, 27), (21, 20), (15, 1), (30, 2), (29, 4), (7, 26), (21, 16), (14, 27), (11, 34), (19, 19), (28, 11), (30, 0), (2, 25), (28, 20), (29, 36), (1, 26), (11, 7), (25, 17), (23, 36), (1, 24), (18, 23), (28, 25), (17, 1), (1, 28), (30, 4), (1, 8), (20, 23), (30, 17), (31, 33), (9, 33), (16, 36), (12, 4), (8, 36), (5, 14), (19, 30), (9, 8), (15, 29), (10, 0), (0, 33), (28, 17), (22, 14), (26, 36), (13, 11), (15, 19), (7, 0), (2, 19), (9, 16), (8, 18), (17, 27), (24, 10), (17, 35), (6, 36), (28, 30), (14, 33), (30, 20), (18, 1), (10, 8), (24, 15), (5, 16), (24, 25), (13, 8), (9, 2), (15, 10), (15, 15), (20, 4), (16, 21), (6, 25), (11, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 14), (2, 13), (10, 26), (6, 1), (14, 28), (3, 26), (28, 28), (5, 17), (11, 30), (33, 18), (18, 15), (20, 14), (11, 11), (3, 30), (15, 29), (29, 31), (34, 12), (14, 22), (15, 2), (29, 15), (18, 9), (0, 29), (19, 11), (31, 31), (3, 15), (14, 30), (27, 2), (22, 18), (0, 19), (28, 8), (26, 13), (19, 12), (23, 19), (21, 19), (18, 10), (30, 10), (12, 4), (26, 10), (34, 1), (25, 14), (1, 24), (27, 5), (22, 10), (17, 12), (1, 12), (23, 24), (9, 30), (20, 8), (20, 27), (10, 9), (15, 14), (5, 12), (9, 23), (3, 23), (26, 15), (12, 3), (13, 11), (4, 25), (4, 0), (27, 28), (10, 17), (24, 23), (17, 27), (32, 18), (32, 11), (33, 11), (24, 25), (33, 8), (11, 22), (12, 23), (14, 12), (21, 5), (8, 1), (31, 10), (19, 14), (22, 4), (1, 9), (3, 24), (29, 23), (2, 16), (8, 7), (18, 16), (5, 18), (24, 11), (15, 16), (29, 26), (27, 4), (25, 23), (7, 12), (23, 27), (11, 1), (18, 18), (33, 6), (18, 31), (19, 31), (8, 3), (22, 31), (3, 0), (18, 3), (6, 7), (30, 4), (32, 9), (20, 5), (19, 20), (6, 13), (16, 2), (6, 30), (23, 17), (31, 4), (16, 22), (33, 14), (29, 4), (16, 26), (17, 21), (17, 3), (12, 26), (23, 30), (15, 22), (33, 3), (11, 8), (25, 18), (25, 29), (7, 3), (14, 24), (21, 3), (1, 28), (28, 21), (4, 13), (21, 21), (24, 18), (6, 22), (11, 0), (27, 20), (28, 24), (5, 20), (16, 17), (10, 22), (15, 19), (31, 13), (9, 18), (3, 25), (25, 28), (11, 5), (8, 31), (13, 27), (20, 26), (5, 15), (31, 6), (19, 21), (5, 2), (32, 14), (4, 19), (9, 29), (16, 20), (19, 3), (16, 8), (14, 23), (23, 25), (16, 19), (20, 7), (20, 31), (7, 10), (9, 11), (0, 2), (22, 27), (0, 18), (14, 31), (30, 19), (11, 16), (23, 1), (7, 20), (1, 8), (16, 6), (11, 27), (22, 22), (7, 21), (12, 16), (14, 6), (8, 4), (12, 9), (9, 12), (30, 8), (6, 11), (1, 13), (25, 3), (20, 21), (7, 29), (27, 6), (24, 19), (1, 31), (23, 13), (26, 16), (18, 28), (2, 11), (8, 21), (26, 29), (33, 20), (12, 13), (33, 21), (33, 31), (20, 17), (21, 8), (5, 0), (10, 2), (21, 6), (6, 5), (1, 5), (12, 28), (1, 18), (23, 16), (32, 28), (17, 31), (31, 3), (11, 18), (5, 28), (13, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 34x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 25), (29, 26), (24, 13), (24, 14), (10, 25), (23, 13), (4, 5), (5, 4), (8, 3), (1, 23), (24, 21), (20, 14), (7, 24), (26, 4), (19, 28), (18, 15), (3, 20), (7, 25), (23, 30), (28, 1), (4, 16), (20, 19), (6, 9), (23, 31), (32, 20), (25, 30), (32, 15), (6, 29), (15, 30), (14, 17), (26, 17), (3, 13), (17, 29), (16, 2), (6, 23), (7, 29), (24, 16), (10, 15), (10, 28), (16, 9), (10, 22), (33, 6), (1, 4), (32, 6), (26, 30), (19, 27), (9, 28), (33, 28), (18, 29), (14, 4), (23, 4), (17, 21), (29, 16), (25, 27), (29, 22), (23, 21), (5, 19), (8, 24), (19, 6), (12, 11), (23, 6), (5, 15), (14, 24), (0, 22), (26, 1), (6, 21), (24, 10), (15, 29), (3, 12), (2, 24), (29, 14), (32, 27), (25, 22), (31, 28), (3, 26), (11, 5), (2, 6), (30, 24), (20, 27), (13, 21), (13, 13), (33, 18), (31, 18), (11, 22), (11, 8), (3, 11), (15, 7), (4, 21), (27, 18), (3, 14), (24, 9), (30, 19), (29, 17), (18, 14), (25, 23), (10, 6), (4, 4), (32, 30), (6, 12), (3, 0), (25, 17), (16, 29), (7, 23), (4, 3), (16, 5), (32, 22), (33, 17), (7, 4), (11, 10), (20, 24), (29, 18), (25, 13), (5, 18), (8, 7), (17, 7), (33, 5), (3, 29), (24, 3), (4, 24), (3, 6), (20, 25), (0, 25), (0, 23), (21, 7), (12, 9), (30, 9), (11, 19), (32, 10), (14, 1), (0, 17), (30, 21), (23, 15), (0, 5), (13, 26), (32, 18), (1, 13), (4, 27), (33, 9), (30, 20), (2, 31), (9, 10), (10, 19), (4, 13), (7, 14), (18, 20), (6, 10), (3, 27), (22, 15), (23, 17), (17, 27), (19, 5), (20, 5), (0, 8), (28, 10), (15, 6), (24, 5), (4, 9), (30, 6), (32, 26), (4, 12), (20, 7), (8, 12), (17, 19), (30, 31), (3, 7), (31, 3), (10, 9), (19, 23), (12, 20), (19, 24), (13, 12), (11, 9), (2, 27), (29, 19), (8, 26), (18, 24), (22, 6), (33, 12), (20, 28), (25, 19), (21, 14), (11, 11), (10, 1), (1, 7), (0, 14), (14, 27), (20, 17), (16, 23), (23, 3), (2, 19), (21, 20), (22, 11), (1, 2), (30, 10), (6, 28), (9, 13), (29, 11), (16, 7), (3, 5), (11, 24), (20, 13), (10, 17), (3, 15), (0, 16), (30, 26), (32, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 37x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 16), (16, 18), (16, 0), (15, 25), (1, 26), (18, 3), (25, 6), (11, 7), (28, 10), (6, 22), (14, 8), (34, 25), (11, 6), (23, 15), (13, 31), (28, 0), (3, 13), (5, 1), (3, 18), (14, 15), (35, 9), (14, 11), (13, 29), (27, 24), (18, 6), (18, 28), (28, 13), (24, 18), (0, 29), (19, 19), (10, 29), (10, 7), (28, 27), (34, 10), (20, 5), (33, 27), (9, 8), (5, 4), (29, 0), (21, 17), (14, 5), (34, 6), (36, 5), (4, 19), (29, 7), (24, 24), (1, 25), (36, 30), (15, 8), (10, 5), (16, 22), (30, 9), (0, 30), (14, 20), (17, 9), (9, 18), (20, 18), (34, 24), (12, 9), (0, 28), (25, 23), (33, 32), (25, 4), (14, 12), (9, 29), (31, 32), (3, 0), (31, 29), (10, 16), (26, 26), (36, 29), (24, 5), (26, 29), (22, 29), (32, 29), (34, 19), (1, 18), (13, 30), (19, 29), (24, 11), (11, 19), (23, 19), (11, 12), (17, 30), (7, 12), (13, 28), (24, 2), (33, 15), (36, 22), (36, 17), (24, 0), (9, 28), (17, 5), (29, 29), (36, 21), (2, 33), (14, 30), (21, 31), (32, 26), (8, 6), (19, 25), (32, 14), (6, 29), (8, 8), (19, 13), (33, 4), (25, 16), (23, 18), (33, 1), (28, 22), (23, 0), (35, 13), (26, 12), (11, 5), (9, 17), (16, 21), (4, 28), (20, 26), (31, 17), (6, 17), (15, 3), (17, 8), (0, 14), (30, 1), (25, 25), (1, 13), (10, 11), (16, 9), (36, 8), (17, 33), (36, 23), (29, 31), (1, 30), (25, 27), (32, 15), (16, 23), (22, 14), (28, 1), (15, 6), (35, 10), (11, 24), (28, 11), (27, 33), (11, 21), (26, 17), (35, 6), (35, 28), (25, 18), (2, 3), (14, 9), (7, 7), (1, 0), (5, 9), (34, 9), (9, 26), (10, 31), (22, 24), (1, 11), (23, 33), (8, 30), (26, 25), (6, 7), (23, 11), (8, 22), (3, 29), (6, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 36), (28, 21), (27, 29), (32, 30), (24, 27), (10, 0), (6, 34), (11, 29), (16, 14), (27, 23), (29, 4), (23, 0), (23, 12), (36, 32), (30, 26), (18, 25), (28, 30), (27, 36), (10, 9), (2, 6), (8, 33), (23, 33), (12, 11), (32, 35), (21, 32), (16, 4), (5, 29), (35, 14), (12, 18), (3, 10), (35, 5), (35, 6), (6, 29), (17, 23), (3, 3), (20, 28), (14, 25), (32, 9), (26, 25), (5, 3), (10, 32), (23, 20), (28, 3), (36, 33), (20, 1), (7, 26), (8, 36), (2, 2), (1, 6), (2, 19), (23, 18), (19, 3), (5, 35), (3, 1), (18, 7), (12, 30), (36, 11), (25, 31), (22, 16), (24, 22), (36, 21), (22, 4), (19, 16), (25, 6), (31, 4), (22, 24), (6, 19), (7, 28), (18, 11), (3, 8), (22, 19), (31, 26), (12, 17), (6, 9), (15, 19), (0, 24), (16, 19), (5, 21), (35, 7), (36, 26), (19, 30), (4, 29), (11, 20), (32, 7), (10, 16), (20, 35), (14, 21), (36, 13), (22, 32), (22, 13), (7, 14), (4, 31), (26, 2), (1, 35), (3, 23), (3, 11), (35, 34), (31, 8), (35, 3), (13, 15), (21, 7), (27, 28), (0, 31), (9, 11), (30, 1), (27, 12), (30, 23), (22, 1), (33, 13), (10, 12), (1, 9), (17, 34), (32, 25), (17, 32), (13, 23), (18, 5), (32, 15), (27, 1), (13, 26), (11, 13), (31, 12), (6, 26), (29, 3), (7, 30), (25, 25), (14, 10), (31, 6), (7, 20), (1, 34), (13, 22), (21, 25), (26, 11), (0, 14), (28, 1), (35, 2), (10, 33), (13, 20), (3, 14), (8, 19), (1, 13), (2, 14), (11, 24), (27, 32), (1, 20), (19, 0), (27, 33), (31, 36), (31, 25), (30, 10), (15, 4), (18, 3), (30, 11), (11, 12), (34, 17), (28, 14), (26, 36), (20, 8), (28, 36), (26, 17), (13, 19), (14, 31), (33, 4), (18, 12), (25, 7), (18, 21), (9, 25), (26, 21), (32, 13), (33, 28), (9, 21), (27, 18), (28, 10), (20, 20), (27, 30), (32, 34), (12, 35), (22, 30), (28, 17), (35, 16), (32, 29), (2, 5), (11, 26), (11, 7), (25, 1), (10, 31), (34, 11), (36, 29), (16, 8), (16, 23), (8, 10), (24, 30), (29, 7), (26, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 24), (24, 29), (33, 18), (7, 15), (9, 9), (3, 15), (29, 25), (14, 26), (3, 6), (15, 2), (5, 13), (23, 11), (13, 19), (11, 25), (13, 16), (1, 20), (21, 11), (33, 24), (19, 27), (17, 30), (21, 28), (32, 23), (9, 10), (31, 30), (17, 25), (7, 10), (13, 10), (9, 6), (20, 17), (32, 16), (32, 25), (10, 18), (28, 10), (27, 9), (3, 13), (23, 28), (13, 11), (1, 19), (7, 14), (6, 7), (23, 30), (30, 20), (11, 13), (9, 7), (16, 28), (9, 23), (15, 20), (30, 11), (10, 25), (33, 15), (31, 28), (8, 14), (19, 19), (27, 30), (5, 9), (4, 15), (26, 25), (16, 11), (21, 13), (27, 26), (21, 24), (33, 6), (31, 18), (15, 21), (5, 11), (11, 21), (24, 3), (26, 14), (22, 4), (19, 25), (13, 2), (14, 25), (16, 13), (6, 22), (34, 0), (17, 17), (3, 30), (22, 10), (4, 13), (13, 22), (18, 17), (32, 26), (28, 9), (29, 6), (8, 15), (0, 19), (26, 4), (17, 26), (8, 25), (10, 29), (20, 26), (33, 12), (12, 9), (8, 3), (33, 30), (33, 11), (16, 22), (11, 3), (23, 27), (10, 15), (22, 22), (1, 17), (2, 7), (13, 27), (26, 30), (14, 15), (13, 13), (15, 7), (16, 30), (12, 28), (8, 30), (31, 9), (1, 3), (34, 15), (0, 5), (2, 29), (28, 11), (29, 2), (11, 11), (18, 13), (14, 10), (3, 1), (17, 7), (34, 11), (34, 23), (20, 13), (25, 24), (30, 16), (32, 21), (7, 26), (21, 17), (16, 18), (14, 18), (0, 2), (6, 5), (21, 22), (12, 10), (30, 1), (1, 23), (10, 3), (16, 25), (19, 5), (8, 27), (34, 28), (23, 18), (21, 8), (4, 3), (17, 2), (25, 16), (24, 14), (12, 29), (16, 8), (15, 28), (0, 17), (1, 11), (23, 7), (7, 5), (24, 8), (31, 0), (32, 9), (17, 22), (33, 25), (20, 11), (1, 0), (20, 12), (9, 1), (29, 3), (15, 25), (34, 2), (25, 3), (26, 28), (27, 10), (32, 15), (7, 8), (11, 20), (16, 15), (3, 28), (3, 8), (20, 24), (16, 17), (17, 24), (7, 3), (24, 9), (27, 18), (8, 28), (2, 23), (27, 28), (10, 16), (26, 29), (17, 5), (11, 14), (5, 17), (12, 4), (6, 25), (6, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 36x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 26), (23, 5), (24, 9), (2, 33), (13, 11), (35, 25), (20, 2), (15, 31), (25, 29), (35, 23), (18, 24), (0, 18), (21, 27), (13, 20), (33, 25), (8, 29), (19, 13), (13, 28), (27, 10), (33, 18), (6, 0), (30, 12), (28, 12), (23, 11), (7, 26), (10, 27), (34, 8), (19, 15), (32, 17), (7, 32), (9, 9), (0, 32), (16, 19), (9, 15), (13, 31), (4, 31), (13, 12), (3, 2), (2, 16), (4, 3), (27, 3), (24, 31), (11, 7), (16, 0), (7, 7), (24, 3), (27, 18), (21, 0), (4, 19), (26, 17), (35, 5), (34, 13), (27, 2), (31, 6), (3, 22), (8, 3), (11, 1), (16, 27), (2, 21), (26, 23), (11, 6), (24, 4), (16, 24), (34, 30), (0, 25), (13, 34), (30, 10), (0, 20), (22, 9), (14, 3), (22, 18), (24, 32), (6, 12), (0, 22), (1, 25), (7, 6), (31, 17), (34, 4), (28, 3), (27, 31), (23, 4), (30, 9), (23, 24), (35, 29), (24, 18), (1, 17), (34, 22), (16, 18), (33, 29), (27, 20), (33, 5), (14, 5), (35, 2), (10, 26), (5, 20), (34, 1), (35, 18), (17, 30), (18, 15), (12, 17), (17, 22), (30, 21), (30, 33), (8, 25), (11, 0), (14, 8), (1, 18), (22, 29), (30, 16), (16, 23), (25, 9), (29, 10), (32, 23), (12, 26), (19, 22), (18, 32), (24, 13), (14, 34), (11, 13), (26, 26), (4, 11), (13, 22), (19, 5), (16, 6), (14, 9), (30, 3), (2, 23), (32, 24), (21, 16), (4, 7), (1, 22), (22, 5), (8, 6), (28, 23), (14, 4), (16, 15), (22, 0), (15, 1), (2, 7), (19, 16), (20, 13), (29, 31), (22, 6), (17, 16), (1, 23), (22, 22), (2, 22), (4, 15), (11, 22), (22, 24), (16, 3), (5, 4), (14, 32), (0, 28), (25, 15), (33, 32), (26, 1), (0, 5), (35, 16), (14, 21), (27, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 34x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 10), (30, 28), (22, 14), (5, 16), (15, 18), (1, 31), (31, 20), (27, 14), (20, 12), (14, 25), (30, 16), (12, 15), (21, 29), (5, 12), (27, 29), (9, 34), (28, 21), (7, 7), (30, 21), (12, 7), (10, 15), (12, 25), (20, 30), (28, 19), (27, 26), (12, 32), (10, 4), (19, 22), (30, 15), (9, 17), (25, 15), (13, 34), (26, 0), (3, 6), (31, 2), (14, 3), (24, 25), (33, 17), (23, 11), (0, 18), (0, 12), (8, 18), (23, 24), (5, 34), (23, 14), (16, 16), (26, 30), (33, 9), (5, 7), (29, 18), (7, 20), (32, 12), (17, 33), (16, 1), (33, 30), (33, 5), (0, 7), (21, 13), (4, 22), (11, 15), (14, 5), (32, 23), (8, 25), (29, 22), (33, 25), (18, 27), (19, 18), (23, 13), (0, 25), (19, 23), (28, 16), (24, 30), (11, 1), (7, 31), (15, 19), (15, 21), (0, 27), (23, 1), (4, 6), (17, 34), (30, 27), (15, 7), (26, 5), (2, 10), (19, 13), (13, 33), (0, 24), (10, 8), (19, 28), (4, 33), (3, 28), (18, 25), (3, 32), (29, 12), (27, 9), (32, 17), (22, 13), (18, 23), (26, 18), (21, 2), (4, 18), (31, 3), (10, 17), (22, 26), (7, 0), (4, 9), (13, 0), (18, 11), (12, 17), (7, 12), (33, 31), (5, 3), (3, 14), (33, 16), (22, 5), (5, 31), (12, 34), (3, 5), (24, 24), (16, 26), (30, 8), (23, 19), (14, 27), (18, 2), (22, 20), (9, 19), (1, 16), (6, 0), (14, 10), (10, 31), (29, 7), (25, 4), (12, 26), (18, 4), (33, 29), (19, 24), (3, 25), (19, 29), (13, 27), (8, 11), (13, 19), (8, 12), (28, 34), (7, 21), (21, 23), (10, 11), (25, 22), (11, 12), (28, 9), (9, 31), (31, 0), (18, 16), (14, 26), (17, 11), (16, 31), (31, 7), (10, 13), (26, 10), (29, 24), (12, 11), (17, 9), (1, 27), (14, 24), (5, 9), (23, 3), (11, 7), (21, 12), (3, 33), (9, 8), (25, 0), (8, 24), (10, 33), (11, 25), (30, 25), (16, 7), (5, 29), (24, 2), (5, 10), (15, 11), (29, 21), (25, 19), (11, 18), (18, 15), (14, 20), (2, 26), (16, 4), (16, 18), (25, 29), (16, 12), (30, 1), (11, 32), (29, 28), (16, 6), (4, 1), (18, 9), (23, 22), (31, 4), (31, 21), (30, 0), (8, 29), (8, 0), (7, 25), (26, 11), (2, 33), (25, 6), (10, 28), (33, 32), (31, 19), (20, 33), (26, 24), (1, 33), (22, 34), (4, 12), (13, 31), (20, 28), (8, 9), (29, 30), (5, 4), (9, 1), (3, 20), (15, 34), (33, 18), (2, 21), (4, 3), (29, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 8), (10, 8), (20, 14), (8, 27), (34, 17), (14, 23), (22, 19), (28, 33), (26, 30), (8, 4), (32, 5), (13, 27), (15, 1), (13, 34), (26, 11), (34, 4), (31, 19), (28, 11), (21, 2), (16, 23), (29, 4), (12, 27), (27, 11), (17, 16), (14, 29), (14, 28), (9, 33), (27, 24), (33, 19), (35, 17), (18, 22), (1, 24), (18, 29), (7, 23), (21, 24), (4, 5), (5, 31), (27, 15), (9, 11), (2, 6), (23, 2), (11, 34), (6, 24), (31, 16), (4, 17), (6, 31), (12, 33), (14, 20), (36, 1), (27, 8), (24, 12), (34, 29), (17, 33), (30, 30), (14, 14), (2, 11), (19, 24), (6, 30), (33, 6), (27, 28), (0, 15), (4, 4), (18, 13), (26, 13), (30, 34), (12, 6), (35, 4), (9, 8), (6, 35), (18, 24), (36, 34), (3, 18), (28, 35), (6, 27), (12, 34), (6, 9), (22, 11), (9, 26), (29, 24), (22, 31), (33, 34), (25, 10), (6, 15), (6, 11), (33, 18), (33, 16), (10, 20), (22, 8), (12, 31), (15, 12), (36, 22), (30, 7), (25, 9), (17, 27), (32, 13), (5, 25), (21, 15), (23, 29), (26, 16), (22, 35), (23, 13), (16, 15), (29, 17), (35, 20), (19, 18), (16, 22), (34, 14), (36, 23), (2, 24), (26, 25), (31, 17), (36, 20), (2, 17), (30, 10), (30, 8), (5, 13), (3, 10), (19, 1), (13, 1), (12, 11), (7, 35), (33, 3), (29, 10), (10, 25), (23, 17), (4, 19), (0, 22), (17, 0), (9, 29), (33, 28), (21, 7), (27, 1), (20, 18), (17, 13), (17, 8), (1, 6), (7, 6), (29, 30), (21, 0), (15, 3), (31, 8), (9, 23), (3, 3), (30, 6), (13, 12), (29, 1), (27, 26), (16, 29), (17, 20), (35, 19), (2, 14), (6, 5), (25, 7), (19, 26), (17, 1), (19, 2), (8, 33), (7, 26), (11, 30), (13, 28), (22, 20), (7, 28), (36, 17), (34, 3), (34, 18), (32, 11), (13, 22), (33, 10), (24, 8), (34, 20), (6, 8), (1, 34), (14, 13), (36, 27), (34, 8), (3, 1), (1, 11), (14, 25), (0, 25), (18, 31), (32, 24), (1, 3), (35, 13), (4, 12), (24, 31), (3, 8), (8, 24), (24, 28), (11, 9), (22, 29), (33, 33), (21, 17), (5, 34), (17, 32), (6, 4), (19, 14), (7, 15), (19, 29), (7, 7), (19, 0), (27, 13), (0, 3), (2, 27), (19, 33), (36, 29), (17, 9), (5, 5), (2, 31), (21, 14), (28, 32), (34, 13), (30, 1), (6, 19), (33, 14), (6, 20), (23, 35), (11, 21), (26, 9), (11, 20), (5, 8), (25, 27), (20, 32), (5, 16), (31, 32), (12, 7), (20, 12), (13, 4), (31, 14), (28, 7), (8, 1), (23, 5), (2, 34), (15, 31), (31, 3), (24, 19), (30, 28), (29, 3), (23, 26), (27, 21), (33, 8), (27, 30), (13, 10), (24, 6), (36, 32), (29, 0), (13, 18), (0, 9), (32, 17), (23, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 4), (15, 11), (24, 19), (22, 5), (19, 28), (10, 0), (34, 0), (12, 18), (12, 4), (15, 19), (0, 22), (1, 5), (28, 14), (2, 22), (30, 6), (21, 1), (23, 30), (28, 12), (3, 24), (9, 17), (22, 10), (9, 12), (14, 5), (28, 19), (27, 3), (29, 21), (3, 18), (26, 5), (16, 21), (12, 30), (26, 6), (6, 27), (2, 28), (34, 22), (32, 2), (31, 29), (32, 30), (33, 28), (11, 6), (11, 19), (30, 2), (30, 14), (29, 18), (19, 9), (17, 11), (29, 9), (16, 2), (20, 27), (9, 3), (2, 24), (11, 16), (25, 2), (3, 25), (22, 7), (11, 5), (15, 14), (4, 0), (13, 29), (9, 24), (19, 1), (24, 16), (28, 20), (21, 5), (30, 9), (21, 23), (29, 10), (7, 29), (16, 12), (24, 30), (28, 9), (32, 25), (7, 24), (0, 23), (26, 16), (24, 14), (5, 20), (23, 17), (8, 27), (18, 20), (7, 17), (8, 9), (12, 29), (21, 22), (19, 15), (6, 16), (30, 23), (10, 29), (16, 8), (21, 0), (0, 7), (3, 6), (26, 28), (25, 16), (20, 7), (31, 14), (29, 20), (12, 1), (17, 22), (23, 15), (17, 10), (22, 13), (33, 18), (17, 21), (24, 10), (21, 19), (1, 20), (21, 3), (12, 12), (1, 22), (23, 22), (33, 17), (22, 14), (8, 1), (19, 4), (27, 10), (26, 30), (26, 14), (10, 20), (17, 6), (23, 19), (24, 12), (33, 3), (27, 13), (18, 16), (20, 29), (1, 19), (20, 30), (19, 26), (14, 2), (20, 9), (4, 17), (11, 7), (22, 1), (14, 29), (9, 30), (34, 25), (15, 26), (30, 29), (18, 1), (10, 4), (21, 25), (13, 13), (15, 27), (17, 26), (3, 3), (11, 14), (33, 7), (16, 1), (24, 5), (17, 16), (10, 16), (14, 14), (18, 6), (34, 10), (15, 9), (24, 6), (32, 16), (6, 23), (23, 4), (8, 24), (6, 2), (27, 20), (25, 13), (16, 10), (30, 5), (9, 18), (8, 0), (11, 0), (31, 27), (12, 19), (6, 26), (29, 15), (32, 1), (31, 2), (29, 13), (21, 2), (3, 15), (24, 1), (33, 2), (28, 11), (7, 25), (23, 7), (31, 5), (16, 28), (1, 6), (26, 3), (27, 7), (18, 12), (19, 24), (5, 25), (22, 0), (19, 14), (9, 9), (17, 23), (5, 5), (4, 15), (34, 28), (12, 13), (13, 10), (29, 6), (24, 23), (20, 2), (1, 27), (26, 2), (22, 6), (26, 0), (25, 8), (33, 10), (10, 1), (25, 7), (5, 22), (24, 11), (7, 4), (28, 4), (25, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 34x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 11), (7, 4), (29, 16), (12, 17), (12, 24), (16, 7), (20, 9), (18, 20), (27, 11), (19, 23), (24, 16), (10, 27), (24, 4), (22, 5), (31, 25), (13, 17), (30, 28), (2, 21), (19, 17), (30, 16), (14, 19), (21, 22), (0, 22), (5, 5), (32, 12), (17, 9), (21, 14), (13, 7), (17, 21), (33, 18), (11, 27), (7, 2), (14, 4), (22, 3), (3, 21), (11, 24), (1, 19), (10, 19), (7, 9), (32, 25), (12, 3), (25, 23), (27, 10), (3, 22), (10, 13), (20, 2), (12, 23), (11, 8), (13, 23), (26, 5), (5, 28), (12, 15), (26, 11), (7, 15), (13, 4), (19, 15), (21, 13), (4, 18), (4, 22), (3, 29), (0, 18), (29, 23), (0, 5), (3, 13), (20, 6), (1, 4), (17, 0), (14, 28), (1, 12), (1, 9), (19, 2), (8, 19), (0, 6), (23, 19), (30, 29), (27, 15), (2, 6), (18, 17), (8, 16), (23, 14), (17, 28), (14, 12), (12, 0), (30, 24), (31, 8), (19, 27), (26, 16), (17, 6), (30, 18), (10, 22), (4, 27), (7, 18), (3, 27), (23, 6), (22, 24), (23, 22), (3, 0), (21, 29), (28, 28), (4, 23), (2, 24), (10, 3), (17, 23), (16, 15), (8, 12), (2, 11), (28, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 27), (17, 35), (17, 22), (27, 14), (17, 23), (27, 33), (33, 9), (30, 2), (22, 8), (14, 14), (5, 13), (0, 29), (10, 21), (22, 14), (13, 22), (21, 35), (13, 0), (23, 27), (28, 14), (3, 14), (10, 5), (21, 12), (36, 1), (14, 7), (34, 27), (17, 12), (33, 2), (14, 12), (28, 29), (30, 33), (6, 34), (32, 8), (5, 9), (35, 9), (7, 24), (0, 3), (9, 15), (7, 6), (11, 9), (4, 13), (32, 30), (12, 21), (33, 12), (25, 19), (6, 25), (23, 23), (0, 10), (1, 31), (27, 3), (30, 19), (11, 13), (27, 5), (11, 0), (2, 2), (31, 23), (27, 22), (30, 8), (32, 32), (34, 3), (22, 23), (5, 34), (18, 1), (11, 33), (21, 30), (31, 2), (30, 12), (1, 20), (26, 27), (3, 2), (7, 0), (30, 35), (2, 24), (36, 29), (37, 27), (14, 22), (15, 24), (4, 32), (10, 34), (29, 31), (6, 3), (36, 16), (28, 31), (35, 14), (19, 0), (0, 20), (35, 26), (16, 35), (32, 5), (29, 6), (28, 23), (12, 11), (13, 29), (5, 28), (7, 27), (18, 26), (0, 13), (7, 16), (16, 5), (23, 19), (1, 14), (14, 4), (1, 30), (32, 2), (3, 1), (21, 26), (11, 24), (3, 22), (2, 28), (7, 13), (17, 8), (6, 23), (35, 4), (23, 30), (6, 15), (35, 23), (13, 34), (36, 2), (20, 16), (25, 15), (31, 7), (24, 3), (4, 15), (15, 0), (34, 23), (22, 10), (11, 34), (10, 13), (18, 3), (6, 10), (22, 19), (32, 14), (1, 8), (18, 13), (1, 21), (25, 4), (34, 16), (8, 12), (5, 19), (1, 1), (17, 2), (11, 14), (9, 21), (9, 26), (17, 7), (30, 5), (6, 0), (24, 22), (20, 13), (25, 14), (4, 1), (17, 17), (2, 0), (11, 29), (11, 26), (14, 26), (14, 3), (36, 25), (0, 21), (20, 34), (35, 8), (27, 10), (36, 27), (2, 19), (3, 19), (30, 17), (7, 29), (37, 29), (29, 1), (35, 19), (11, 7), (33, 29), (37, 15), (29, 14), (16, 33), (25, 1), (33, 34), (26, 9), (22, 16), (5, 6), (24, 26), (19, 30), (3, 34), (22, 6), (6, 12), (34, 5), (24, 25), (15, 22), (31, 5), (21, 17), (1, 33), (12, 19), (13, 18), (7, 21), (3, 28), (32, 28), (20, 7), (15, 23), (34, 25), (14, 23), (14, 10), (7, 5), (6, 4), (27, 1), (16, 24), (5, 27), (36, 6), (18, 17), (18, 18), (22, 26), (12, 28), (10, 28), (18, 20), (26, 17), (33, 24), (28, 12), (30, 18), (3, 31), (34, 4), (15, 4), (13, 23), (35, 5), (25, 6), (37, 17), (16, 17), (27, 32), (20, 10), (12, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 38x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 27), (36, 13), (34, 32), (33, 23), (29, 13), (10, 12), (30, 5), (31, 15), (5, 11), (0, 13), (31, 0), (5, 1), (18, 25), (26, 11), (24, 12), (25, 26), (14, 33), (17, 29), (1, 12), (1, 14), (19, 16), (29, 22), (6, 0), (5, 12), (13, 11), (27, 18), (19, 20), (7, 18), (18, 3), (9, 13), (9, 31), (31, 31), (12, 21), (13, 21), (34, 7), (14, 23), (32, 20), (13, 18), (20, 16), (13, 16), (33, 8), (26, 3), (15, 13), (30, 35), (14, 12), (11, 1), (21, 7), (28, 16), (23, 20), (4, 28), (11, 17), (26, 23), (37, 4), (5, 2), (19, 8), (8, 0), (18, 16), (5, 13), (31, 3), (23, 14), (8, 2), (35, 26), (19, 28), (1, 15), (16, 17), (4, 7), (22, 6), (9, 9), (36, 35), (35, 27), (22, 25), (29, 23), (11, 20), (25, 18), (20, 15), (35, 17), (4, 4), (34, 24), (20, 25), (33, 4), (17, 14), (29, 8), (9, 22), (20, 35), (21, 16), (33, 12), (4, 32), (16, 35), (18, 5), (8, 27), (4, 1), (7, 7), (20, 31), (26, 34), (18, 19), (18, 14), (31, 8), (35, 0), (20, 10), (21, 32), (3, 6), (3, 32), (4, 0), (15, 22), (32, 9), (28, 13), (17, 33), (8, 1), (7, 31), (15, 21), (0, 7), (36, 18), (19, 9), (0, 28), (22, 11), (6, 29), (20, 13), (13, 29), (22, 19), (5, 20), (30, 26), (5, 35), (25, 0), (22, 4), (11, 10), (8, 3), (26, 25), (29, 24), (7, 35), (4, 27), (29, 18), (5, 14), (12, 15), (35, 12), (24, 35), (18, 21), (25, 35), (0, 24), (29, 14), (15, 29), (34, 11), (10, 16), (33, 20), (6, 9), (1, 33), (17, 21), (22, 35), (11, 19), (28, 24), (25, 4), (17, 2), (17, 18), (22, 26), (33, 17), (26, 20), (23, 12), (11, 34), (32, 17), (30, 31), (12, 3), (0, 21), (7, 29), (6, 20), (23, 25), (4, 10), (24, 25), (30, 27), (31, 35), (29, 21), (35, 4), (14, 11), (0, 11), (15, 32), (7, 20), (2, 12), (10, 21), (12, 20), (14, 29), (13, 25), (29, 28), (33, 28), (13, 34), (35, 9), (5, 25), (14, 14), (15, 26), (33, 21), (29, 3), (21, 17), (37, 0), (12, 24), (35, 16), (16, 13), (1, 21), (19, 33), (34, 2), (22, 8), (15, 16), (22, 20), (37, 6), (29, 6), (15, 17), (3, 23), (37, 5), (25, 2), (6, 32), (30, 6), (30, 0), (6, 31), (4, 6), (12, 19), (30, 15), (23, 4), (11, 12), (37, 3), (7, 19), (2, 2), (9, 30), (19, 21), (36, 28), (7, 0), (15, 33), (22, 10), (32, 19), (33, 2), (25, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 32), (29, 2), (21, 17), (8, 5), (11, 25), (6, 27), (17, 29), (9, 31), (26, 26), (29, 19), (10, 33), (11, 27), (24, 2), (25, 6), (29, 5), (6, 16), (14, 31), (28, 12), (14, 14), (13, 13), (6, 9), (3, 12), (31, 34), (20, 24), (23, 24), (4, 17), (9, 32), (19, 15), (23, 33), (31, 24), (26, 2), (30, 4), (16, 16), (18, 8), (22, 6), (5, 28), (15, 18), (6, 1), (17, 23), (21, 28), (11, 9), (4, 22), (24, 10), (32, 7), (30, 30), (1, 33), (15, 14), (2, 29), (12, 5), (6, 0), (12, 12), (18, 16), (11, 10), (32, 14), (31, 26), (17, 4), (2, 21), (29, 4), (0, 5), (10, 27), (21, 6), (8, 29), (21, 10), (12, 33), (32, 25), (20, 25), (24, 7), (13, 23), (32, 12), (20, 30), (13, 11), (11, 20), (12, 22), (3, 30), (0, 18), (22, 9), (18, 32), (27, 24), (14, 23), (12, 32), (7, 26), (4, 14), (26, 10), (27, 34), (22, 24), (30, 0), (9, 18), (26, 24), (4, 5), (8, 19), (6, 18), (9, 6), (3, 17), (30, 29), (31, 27), (17, 21), (4, 23), (21, 25), (17, 34), (19, 30), (5, 24), (3, 9), (13, 19), (28, 6), (31, 21), (15, 8), (14, 3), (7, 34), (7, 1), (12, 3), (8, 14), (14, 29), (15, 5), (8, 30), (11, 23), (28, 27), (18, 15), (18, 22), (24, 12), (28, 3), (16, 22), (33, 20), (0, 31), (26, 33), (7, 23), (8, 13), (20, 23), (23, 21), (17, 15), (2, 7), (27, 3), (17, 28), (8, 20), (8, 7), (11, 17), (11, 7), (6, 19), (18, 34), (23, 2), (5, 2), (17, 31), (25, 16), (16, 3), (20, 22), (29, 17), (29, 34), (8, 32), (14, 27), (6, 23), (17, 30), (29, 15), (10, 23), (17, 2), (10, 32), (28, 0), (13, 15), (6, 5), (21, 21), (3, 22), (11, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 31), (27, 26), (28, 2), (7, 12), (30, 22), (13, 7), (2, 7), (25, 12), (6, 12), (9, 18), (27, 12), (16, 9), (10, 20), (1, 14), (18, 8), (14, 11), (15, 6), (15, 22), (25, 10), (13, 22), (15, 17), (16, 29), (25, 24), (4, 4), (14, 28), (25, 6), (13, 25), (24, 31), (12, 11), (9, 19), (16, 12), (6, 10), (17, 27), (18, 24), (2, 3), (21, 16), (20, 24), (22, 16), (20, 6), (12, 0), (11, 18), (18, 6), (26, 17), (11, 12), (26, 13), (3, 32), (12, 34), (21, 28), (11, 0), (19, 1), (23, 16), (5, 6), (18, 32), (8, 1), (30, 6), (27, 35), (28, 9), (23, 6), (26, 30), (10, 19), (12, 8), (2, 1), (23, 27), (15, 32), (10, 33), (13, 32), (10, 34), (8, 18), (7, 20), (23, 1), (14, 20), (22, 35), (29, 19), (0, 20), (14, 8), (5, 5), (10, 9), (14, 5), (5, 2), (24, 2), (30, 17), (24, 24), (11, 23), (13, 6), (25, 31), (4, 31), (2, 15), (26, 33), (12, 28), (1, 19), (23, 15), (29, 15), (19, 15), (22, 6), (28, 18), (17, 11), (22, 13), (28, 30), (13, 15), (25, 17), (27, 24), (5, 12), (22, 19), (17, 26), (28, 22), (5, 34), (18, 27), (6, 11), (26, 20), (9, 25), (10, 12), (12, 33), (1, 8), (25, 29), (9, 15), (9, 0), (18, 21), (28, 31), (20, 23), (4, 13), (6, 35), (28, 10), (11, 24), (23, 4), (1, 17), (4, 23), (0, 26), (15, 35), (17, 32), (16, 18), (5, 1), (9, 9), (10, 4), (27, 6), (7, 23), (13, 28), (2, 25), (30, 14), (26, 14), (20, 7), (28, 6), (0, 7), (26, 0), (15, 20), (10, 15), (18, 33), (25, 32), (16, 21), (28, 13), (26, 32), (9, 28), (15, 21), (12, 13), (2, 21), (18, 30), (25, 7), (29, 34), (29, 28), (0, 25), (22, 18), (30, 32), (30, 7), (29, 20), (25, 1), (12, 23), (29, 1), (3, 33), (30, 27), (17, 17), (5, 11), (25, 18), (10, 16), (22, 21), (17, 25), (1, 1), (18, 16), (13, 0), (20, 27), (28, 3), (7, 15), (18, 9), (24, 8), (15, 31), (28, 29), (17, 12), (26, 10), (3, 20), (29, 2), (10, 22), (1, 31), (9, 4), (21, 1), (2, 10), (13, 3), (25, 30), (13, 21), (23, 11), (16, 8), (18, 19), (30, 11), (18, 18), (24, 1), (29, 30), (18, 14), (18, 23), (18, 7), (17, 3), (16, 35), (15, 23), (8, 4), (10, 7), (4, 11), (9, 6), (3, 24), (17, 13), (22, 9), (21, 24), (4, 15), (14, 7), (13, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 0), (25, 16), (22, 14), (23, 14), (14, 11), (11, 6), (22, 12), (9, 21), (15, 18), (4, 24), (0, 4), (7, 5), (22, 23), (15, 14), (16, 10), (7, 16), (21, 14), (13, 16), (26, 10), (24, 12), (18, 26), (19, 21), (7, 2), (7, 14), (21, 18), (20, 29), (0, 24), (25, 13), (23, 26), (17, 18), (0, 22), (27, 22), (1, 24), (28, 13), (18, 2), (21, 3), (24, 0), (26, 18), (21, 4), (14, 29), (8, 10), (14, 14), (21, 7), (22, 10), (11, 2), (19, 22), (10, 6), (23, 20), (23, 5), (16, 24), (13, 6), (24, 24), (4, 18), (7, 6), (12, 4), (23, 25), (20, 28), (22, 17), (28, 2), (12, 2), (22, 16), (4, 19), (25, 19), (14, 23), (16, 2), (6, 21), (9, 7), (3, 25), (26, 17), (1, 27), (17, 8), (28, 0), (4, 21), (3, 11), (28, 7), (6, 28), (22, 29), (30, 8), (18, 16), (10, 25), (3, 8), (18, 14), (29, 2), (5, 9), (23, 15), (15, 11), (25, 1), (12, 9), (19, 27), (20, 0), (24, 11), (9, 29), (27, 28), (13, 18), (18, 20), (26, 21), (30, 28), (15, 24), (26, 20), (4, 22), (18, 7), (22, 6), (3, 10), (13, 13), (10, 9), (24, 19), (29, 11), (6, 26), (15, 7), (11, 1), (27, 25), (5, 7), (7, 18), (4, 2), (10, 14), (0, 2), (18, 22), (14, 12), (7, 23), (13, 21), (15, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (35, 14), (30, 3), (29, 2), (23, 6), (31, 0), (4, 16), (6, 29), (34, 14), (3, 7), (4, 30), (26, 12), (20, 4), (28, 2), (8, 18), (30, 20), (31, 27), (25, 28), (25, 17), (13, 18), (12, 14), (9, 17), (29, 19), (1, 14), (12, 0), (26, 32), (33, 32), (20, 8), (3, 10), (11, 6), (32, 19), (26, 4), (9, 20), (6, 17), (36, 17), (18, 27), (26, 2), (12, 27), (32, 13), (4, 4), (30, 25), (6, 11), (15, 22), (25, 32), (25, 31), (21, 20), (3, 5), (8, 27), (34, 4), (13, 11), (30, 7), (27, 18), (28, 25), (2, 16), (30, 27), (37, 3), (0, 17), (32, 18), (30, 9), (20, 31), (3, 16), (32, 4), (7, 21), (17, 15), (9, 32), (20, 28), (26, 27), (22, 30), (16, 5), (7, 22), (22, 11), (27, 19), (27, 25), (6, 26), (37, 7), (18, 7), (23, 9), (10, 26), (23, 19), (13, 30), (9, 31), (35, 25), (12, 26), (34, 7), (35, 22), (2, 31), (31, 3), (26, 24), (7, 24), (28, 20), (22, 1), (1, 24), (18, 8), (24, 22), (34, 29), (35, 32), (19, 30), (10, 4), (23, 16), (2, 5), (7, 27), (32, 20), (13, 9), (15, 23), (11, 29), (19, 32), (0, 28), (32, 31), (30, 8), (33, 29), (22, 27), (25, 30), (35, 1), (18, 23), (19, 7), (19, 9), (9, 13), (32, 21), (21, 23), (7, 29), (15, 16), (1, 19), (4, 22), (31, 23), (13, 25), (16, 0), (1, 17), (12, 13), (37, 11), (31, 20), (27, 20), (28, 24), (31, 15), (34, 5), (11, 17), (35, 0), (15, 1), (27, 31), (15, 3), (11, 7), (27, 13), (28, 22), (23, 26), (29, 17), (22, 28), (35, 7), (6, 12), (3, 26), (21, 31), (12, 4), (24, 6), (23, 31), (25, 14), (13, 32), (19, 20), (14, 6), (0, 7), (8, 13), (5, 24), (33, 19), (0, 25), (10, 11), (27, 28), (33, 11), (21, 14), (2, 0), (21, 5), (1, 16), (17, 9), (32, 10), (24, 28), (34, 16), (31, 32), (5, 26), (2, 15), (29, 18), (10, 15), (14, 0), (37, 13), (8, 17), (33, 21), (36, 7), (26, 20), (1, 7), (33, 6), (36, 9), (9, 8), (27, 27), (34, 12), (36, 0), (19, 18), (27, 29), (20, 26), (34, 11), (30, 18), (34, 25), (17, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 29), (6, 31), (11, 26), (26, 4), (1, 18), (35, 18), (14, 5), (7, 18), (16, 10), (3, 25), (19, 16), (35, 6), (15, 31), (32, 24), (21, 11), (22, 29), (18, 30), (18, 20), (28, 5), (34, 12), (4, 5), (13, 16), (31, 13), (33, 16), (3, 22), (24, 14), (3, 17), (21, 26), (17, 3), (3, 0), (33, 4), (6, 5), (0, 22), (27, 17), (16, 20), (5, 18), (15, 24), (33, 30), (15, 27), (1, 6), (8, 14), (0, 7), (10, 2), (28, 3), (1, 7), (25, 29), (4, 7), (35, 12), (2, 5), (19, 17), (16, 17), (13, 25), (26, 16), (29, 26), (35, 9), (14, 24), (23, 10), (23, 7), (29, 29), (10, 27), (13, 17), (6, 20), (25, 18), (9, 13), (6, 14), (25, 22), (1, 1), (35, 23), (33, 12), (32, 25), (24, 7), (8, 24), (1, 31), (28, 10), (26, 15), (27, 3), (32, 15), (32, 5), (9, 3), (28, 0), (2, 4), (17, 8), (17, 18), (9, 29), (22, 10), (3, 6), (6, 26), (26, 26), (6, 16), (1, 8), (5, 10), (26, 28), (12, 8), (31, 23), (22, 19), (29, 14), (21, 1), (16, 24), (14, 29), (2, 10), (12, 4), (4, 8), (5, 4), (4, 0), (17, 26), (5, 17), (0, 26), (26, 20), (27, 24), (16, 14), (18, 7), (4, 9), (2, 27), (18, 27), (9, 31), (32, 12), (23, 17), (9, 25), (27, 11), (3, 24), (19, 31), (14, 15), (17, 22), (11, 30), (5, 25), (34, 13), (4, 11), (8, 9), (19, 15), (10, 6), (10, 13), (17, 15), (31, 7), (29, 5), (9, 21), (12, 30), (27, 10), (31, 2), (1, 15), (0, 23), (29, 19), (10, 19), (3, 21), (11, 14), (22, 28), (33, 26), (10, 26), (18, 12), (21, 8), (10, 25), (11, 5), (2, 22), (14, 19), (26, 6), (30, 31), (6, 8), (12, 27), (5, 6), (15, 20), (31, 30), (24, 5), (9, 18), (33, 31), (32, 23), (26, 9), (21, 27), (30, 17), (2, 12), (32, 18), (7, 4), (12, 3), (7, 2), (14, 7), (34, 17), (12, 21), (17, 9), (31, 4), (3, 15), (14, 28), (4, 6), (5, 29), (31, 8), (0, 13), (25, 12), (32, 8), (16, 1), (1, 3), (24, 9), (13, 0), (15, 23), (29, 7), (17, 12), (0, 5), (9, 15), (24, 10), (22, 2), (4, 16), (0, 18), (15, 19), (24, 8), (27, 28), (19, 0), (32, 29), (21, 23), (7, 16), (23, 8), (29, 3), (9, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 21), (10, 12), (36, 13), (3, 15), (16, 1), (6, 21), (16, 21), (26, 13), (10, 23), (5, 7), (2, 29), (14, 7), (7, 14), (21, 2), (0, 7), (7, 2), (17, 16), (18, 8), (20, 29), (29, 10), (8, 21), (16, 0), (35, 9), (9, 24), (23, 1), (14, 1), (13, 16), (13, 0), (15, 6), (32, 28), (25, 10), (21, 1), (9, 14), (8, 28), (22, 12), (36, 3), (28, 9), (6, 24), (6, 23), (4, 28), (7, 23), (24, 26), (14, 29), (18, 24), (35, 5), (16, 23), (31, 19), (26, 26), (16, 27), (1, 25), (2, 6), (20, 0), (13, 26), (30, 4), (6, 10), (35, 17), (23, 26), (27, 16), (12, 13), (0, 13), (25, 25), (30, 19), (24, 2), (32, 9), (33, 16), (36, 24), (24, 7), (11, 26), (24, 12), (29, 4), (14, 15), (27, 1), (6, 27), (14, 5), (15, 11), (17, 17), (27, 15), (32, 8), (25, 9), (24, 17), (8, 19), (4, 14), (24, 19), (5, 25), (30, 10), (27, 6), (1, 20), (2, 3), (9, 3), (20, 22), (3, 4), (17, 14), (18, 11), (18, 10), (31, 12), (3, 29), (10, 21), (36, 15), (32, 21), (24, 5), (29, 16), (28, 2), (3, 5), (5, 16), (27, 19), (15, 23), (3, 23), (4, 11), (15, 8), (25, 18), (1, 27), (20, 15), (9, 18), (6, 19), (13, 6), (29, 11), (28, 29), (10, 5), (12, 4), (22, 20), (22, 16), (15, 21), (2, 12), (4, 4), (19, 27), (29, 20), (36, 18), (23, 20), (14, 8), (18, 3), (33, 27), (3, 28), (4, 5), (1, 5), (13, 27), (8, 22), (19, 14), (28, 17), (29, 21), (36, 8), (7, 21), (7, 12), (3, 11), (14, 12), (21, 10), (35, 19), (12, 8), (35, 11), (28, 19), (3, 10), (6, 26), (10, 1), (36, 9), (12, 1), (5, 3), (15, 9), (12, 23), (4, 25), (12, 11), (17, 18), (32, 6), (17, 23), (15, 0), (35, 23), (17, 9), (11, 20), (12, 0), (20, 1), (17, 15), (7, 17), (1, 21), (6, 3), (26, 4), (3, 8), (13, 24), (32, 18), (11, 28), (9, 13), (1, 15), (14, 16), (10, 20), (26, 8), (0, 2), (24, 29), (15, 26), (26, 16), (25, 4), (33, 8), (8, 26), (20, 9), (1, 7), (4, 12), (14, 25), (22, 21), (28, 18), (29, 29), (22, 11), (5, 12), (34, 1), (7, 0), (8, 25), (10, 0), (9, 23), (32, 25), (15, 20), (19, 20), (6, 2), (17, 24), (25, 15), (30, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 8), (38, 12), (8, 9), (0, 15), (1, 18), (36, 25), (32, 6), (31, 19), (1, 15), (22, 8), (12, 24), (32, 23), (35, 23), (19, 13), (15, 28), (14, 15), (23, 29), (29, 15), (21, 32), (29, 9), (19, 10), (30, 15), (19, 4), (6, 9), (38, 11), (4, 4), (8, 5), (1, 23), (19, 23), (35, 8), (28, 27), (13, 12), (4, 0), (32, 18), (6, 22), (6, 3), (21, 13), (31, 12), (38, 26), (2, 4), (21, 29), (15, 16), (4, 17), (30, 21), (9, 4), (29, 17), (11, 24), (25, 9), (20, 25), (23, 1), (21, 2), (4, 2), (34, 2), (17, 23), (22, 24), (38, 15), (24, 12), (23, 16), (35, 18), (6, 0), (8, 11), (5, 13), (19, 24), (0, 28), (26, 19), (18, 28), (26, 24), (20, 18), (11, 26), (14, 10), (27, 5), (23, 11), (38, 23), (32, 33), (34, 3), (19, 7), (9, 6), (8, 12), (19, 25), (9, 5), (6, 11), (31, 27), (18, 1), (1, 3), (14, 4), (28, 11), (37, 12), (36, 19), (19, 21), (1, 27), (1, 26), (25, 27), (16, 27), (22, 27), (19, 2), (29, 24), (24, 23), (23, 28), (36, 9), (0, 12), (15, 24), (9, 15), (12, 9), (24, 18), (30, 6), (9, 3), (23, 27), (33, 7), (27, 26), (14, 31), (26, 4), (13, 15), (27, 33), (33, 5), (12, 7), (34, 4), (22, 1), (28, 10), (18, 31), (12, 1), (17, 30), (35, 20), (14, 7), (30, 9), (28, 22), (9, 29), (30, 7), (2, 19), (25, 8), (36, 33), (14, 26), (16, 7), (10, 25), (15, 8), (6, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 19), (18, 6), (5, 25), (8, 17), (29, 5), (13, 0), (13, 24), (10, 27), (19, 11), (31, 8), (30, 2), (26, 15), (8, 26), (16, 22), (23, 6), (20, 27), (19, 25), (22, 16), (20, 16), (25, 22), (27, 20), (21, 21), (9, 26), (20, 7), (27, 21), (16, 17), (29, 15), (19, 24), (1, 22), (9, 2), (23, 1), (17, 18), (2, 2), (5, 20), (15, 16), (19, 26), (17, 7), (24, 18), (24, 0), (12, 16), (1, 8), (2, 8), (0, 21), (0, 15), (20, 9), (19, 3), (20, 22), (12, 20), (30, 16), (20, 14), (7, 12), (24, 9), (19, 1), (26, 27), (21, 25), (13, 2), (8, 1), (1, 26), (28, 0), (28, 4), (25, 20), (17, 10), (1, 21), (26, 14), (30, 19), (22, 24), (8, 6), (8, 16), (13, 22), (26, 1), (6, 2), (22, 11), (11, 25), (22, 17), (4, 11), (15, 17), (20, 10), (15, 26), (12, 23), (6, 14), (26, 0), (26, 26), (15, 21), (16, 19), (23, 22), (19, 28), (16, 11), (5, 26), (26, 5), (25, 3), (20, 4), (11, 28), (9, 17), (8, 5), (23, 26), (10, 5), (12, 26), (0, 13), (30, 29), (27, 26), (13, 18), (19, 16), (29, 16), (24, 3), (4, 0), (22, 3), (9, 1), (2, 16), (31, 14), (2, 13), (8, 2), (19, 14), (5, 2), (8, 20), (30, 25), (0, 6), (7, 21), (26, 24), (13, 17), (5, 11), (0, 18), (19, 5), (30, 15), (27, 17), (22, 27), (3, 23), (20, 3), (14, 25), (23, 28), (24, 29), (25, 14), (23, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 20), (0, 8), (15, 31), (22, 30), (4, 9), (26, 6), (11, 0), (10, 8), (32, 0), (21, 9), (19, 22), (27, 2), (9, 19), (27, 12), (25, 28), (16, 24), (0, 5), (14, 15), (3, 27), (4, 30), (32, 7), (24, 18), (24, 25), (25, 13), (19, 31), (25, 33), (31, 29), (13, 2), (27, 19), (30, 13), (6, 4), (10, 29), (27, 22), (2, 28), (31, 11), (12, 7), (30, 31), (11, 7), (2, 31), (23, 17), (18, 13), (25, 21), (19, 24), (0, 4), (19, 3), (14, 18), (20, 20), (19, 16), (15, 16), (20, 30), (13, 16), (15, 0), (30, 25), (0, 22), (12, 30), (29, 3), (3, 4), (15, 25), (7, 30), (12, 13), (3, 24), (8, 24), (22, 9), (3, 2), (10, 0), (27, 11), (27, 9), (10, 33), (13, 25), (30, 27), (5, 11), (9, 18), (22, 8), (11, 1), (1, 18), (23, 5), (2, 6), (2, 25), (15, 1), (8, 33), (4, 13), (32, 10), (30, 10), (16, 33), (4, 11), (18, 5), (0, 14), (4, 33), (29, 13), (21, 3), (15, 7), (28, 6), (25, 18), (6, 27), (19, 18), (27, 30), (12, 8), (22, 16), (15, 30), (19, 28), (4, 6), (19, 11), (26, 23), (11, 20), (7, 26), (21, 20), (24, 26), (6, 28), (8, 1), (5, 10), (30, 16), (24, 23), (7, 6), (11, 18), (15, 29), (1, 32), (12, 14), (0, 27), (6, 9), (14, 14), (29, 11), (16, 13), (6, 15), (11, 13), (23, 23), (11, 9), (10, 7), (22, 2), (7, 21), (5, 20), (4, 3), (2, 13), (5, 31), (27, 31), (22, 21), (15, 19), (10, 13), (11, 15), (16, 11), (10, 6), (6, 23), (7, 11), (25, 15), (30, 8), (27, 33), (9, 17), (31, 20), (23, 2), (31, 0), (18, 22), (17, 28), (17, 19), (21, 16), (7, 9), (17, 13), (11, 10), (1, 27), (31, 33), (0, 23), (18, 28), (30, 12), (22, 28), (26, 13), (10, 26), (5, 9), (13, 10), (16, 17), (21, 28), (4, 7), (27, 20), (21, 0), (13, 19), (13, 9), (1, 7), (24, 21), (9, 27), (24, 8), (18, 11), (5, 24), (21, 2), (18, 19), (31, 10), (27, 21), (5, 18), (26, 14), (27, 14), (25, 17), (16, 0), (0, 11), (15, 15), (14, 7), (20, 21), (18, 1), (9, 9), (19, 13), (6, 6), (9, 25), (29, 32), (1, 24), (9, 11), (2, 7), (19, 19), (22, 12), (16, 15), (31, 15), (4, 25), (21, 23), (26, 32), (7, 22), (25, 8), (2, 4), (24, 2), (17, 27), (2, 21), (3, 8), (15, 27), (30, 17), (1, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 5), (18, 26), (6, 35), (19, 34), (7, 11), (15, 21), (30, 1), (12, 20), (27, 28), (20, 31), (21, 19), (4, 35), (20, 15), (6, 0), (3, 13), (29, 9), (26, 19), (12, 10), (24, 17), (14, 12), (9, 32), (4, 0), (17, 33), (14, 16), (2, 24), (1, 29), (14, 30), (0, 22), (22, 1), (16, 2), (10, 38), (1, 13), (10, 33), (0, 31), (25, 23), (8, 35), (20, 24), (0, 6), (3, 22), (6, 24), (3, 9), (13, 22), (12, 36), (16, 35), (16, 37), (4, 6), (16, 15), (14, 2), (1, 19), (0, 5), (20, 17), (2, 3), (30, 28), (18, 14), (17, 35), (3, 6), (18, 23), (7, 35), (12, 1), (29, 19), (29, 34), (16, 31), (1, 24), (1, 27), (15, 22), (9, 21), (18, 21), (24, 5), (10, 9), (5, 11), (11, 21), (24, 24), (11, 13), (12, 18), (21, 37), (11, 7), (25, 8), (12, 27), (19, 6), (29, 17), (3, 0), (11, 34), (8, 20), (25, 14), (16, 4), (14, 26), (15, 24), (3, 14), (10, 16), (26, 0), (9, 14), (25, 24), (29, 15), (12, 13), (22, 37), (4, 33), (29, 29), (16, 18), (5, 25), (25, 31), (28, 38), (10, 32), (20, 6), (15, 1), (29, 37), (1, 6), (12, 15), (18, 32), (22, 15), (10, 3), (1, 0), (1, 25), (13, 38), (24, 18), (19, 26), (16, 33), (28, 28), (16, 14), (26, 2), (5, 14), (19, 0), (11, 35), (0, 29), (27, 37), (2, 25), (12, 8), (28, 5), (9, 23), (4, 34), (26, 28), (24, 32), (26, 32), (17, 26), (9, 19), (16, 7), (5, 27), (14, 7), (14, 34), (16, 34), (18, 12), (5, 32), (29, 28), (3, 16), (6, 15), (20, 21), (15, 3), (30, 13), (17, 7), (25, 29), (4, 13), (4, 19), (15, 6), (2, 2), (17, 17), (30, 24), (19, 35), (4, 21), (23, 1), (14, 0), (5, 8), (28, 22), (30, 9), (23, 34), (30, 19), (29, 13), (10, 7), (20, 27), (17, 10), (26, 14), (17, 0), (15, 28), (11, 37), (28, 25), (9, 29), (12, 16), (24, 38), (19, 31), (19, 7), (26, 38), (1, 4), (12, 7), (4, 7), (17, 37), (19, 22), (0, 25), (0, 26), (17, 32), (13, 36), (9, 30), (0, 37), (22, 32), (18, 18), (29, 11), (4, 27), (6, 1), (4, 20), (28, 18), (4, 5), (21, 17), (8, 4), (19, 38), (19, 25), (13, 1), (7, 6), (20, 16), (11, 30), (24, 11), (27, 19), (22, 12), (18, 3), (21, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 33x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 6), (23, 12), (4, 15), (8, 21), (23, 8), (23, 10), (20, 8), (0, 12), (13, 21), (27, 2), (19, 22), (10, 1), (9, 18), (12, 7), (21, 29), (20, 13), (27, 25), (23, 29), (26, 24), (13, 8), (29, 17), (6, 19), (18, 9), (25, 22), (10, 13), (14, 32), (31, 28), (19, 13), (20, 30), (4, 22), (10, 25), (18, 15), (19, 10), (31, 0), (22, 15), (2, 30), (24, 3), (30, 21), (5, 27), (27, 1), (29, 14), (9, 12), (32, 30), (31, 30), (24, 2), (26, 3), (24, 14), (10, 16), (26, 30), (14, 27), (5, 31), (29, 12), (14, 7), (20, 16), (12, 28), (14, 24), (26, 13), (1, 5), (0, 19), (26, 21), (2, 20), (31, 12), (3, 3), (4, 14), (15, 10), (1, 15), (5, 13), (0, 25), (10, 0), (16, 31), (30, 17), (4, 17), (22, 28), (30, 32), (4, 30), (16, 23), (27, 4), (25, 20), (27, 27), (10, 7), (28, 22), (20, 1), (10, 22), (22, 26), (13, 20), (14, 29), (30, 16), (21, 26), (18, 0), (0, 22), (20, 6), (27, 11), (22, 18), (9, 24), (7, 1), (15, 28), (20, 4), (23, 18), (5, 3), (32, 12), (20, 31), (26, 1), (25, 2), (17, 10), (7, 8), (13, 30), (3, 16), (7, 10), (23, 21), (14, 9), (28, 5), (2, 15), (17, 12), (0, 5), (10, 8), (5, 24), (13, 31), (16, 25), (24, 20), (24, 10), (3, 26), (30, 20), (23, 3), (24, 12), (13, 15), (15, 9), (18, 22), (2, 22), (2, 31), (12, 3), (23, 4), (6, 20), (24, 15), (12, 9), (17, 26), (9, 29), (20, 25), (21, 31), (21, 21), (32, 25), (13, 3), (31, 23), (13, 9), (14, 6), (28, 31), (16, 2), (2, 4), (29, 16), (31, 2), (31, 6), (0, 31), (29, 1), (2, 27), (1, 16), (26, 5), (29, 8), (11, 22), (6, 27), (12, 24), (12, 31), (6, 16), (27, 7), (3, 1), (13, 14), (16, 26), (10, 10), (17, 6), (9, 2), (9, 19), (9, 26), (16, 16), (17, 23), (12, 4), (16, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 10), (7, 7), (28, 14), (10, 26), (7, 27), (10, 9), (19, 11), (22, 17), (12, 14), (12, 13), (26, 24), (6, 19), (18, 5), (21, 3), (16, 20), (13, 10), (23, 22), (3, 7), (12, 26), (23, 29), (26, 21), (23, 11), (0, 6), (22, 19), (1, 20), (29, 7), (22, 24), (1, 19), (18, 26), (2, 2), (9, 0), (20, 27), (14, 7), (1, 16), (25, 13), (3, 5), (1, 0), (31, 0), (1, 9), (8, 9), (0, 11), (17, 20), (22, 7), (23, 18), (18, 6), (15, 17), (11, 3), (5, 24), (28, 6), (9, 2), (7, 22), (7, 13), (2, 11), (31, 8), (30, 14), (16, 19), (21, 14), (22, 0), (26, 16), (21, 22), (22, 27), (15, 25), (4, 17), (7, 0), (1, 18), (26, 11), (20, 29), (13, 0), (13, 29), (15, 27), (6, 16), (8, 0), (26, 7), (4, 8), (12, 3), (25, 19), (29, 9), (13, 8), (2, 26), (7, 8), (16, 21), (16, 29), (6, 10), (26, 3), (4, 14), (18, 11), (23, 9), (6, 11), (8, 21), (13, 1), (21, 29), (31, 5), (20, 6), (3, 19), (5, 13), (2, 16), (9, 9), (16, 18), (23, 13), (19, 12), (2, 18), (21, 8), (9, 11), (24, 2), (23, 26), (22, 1), (27, 21), (31, 14), (2, 20), (5, 25), (14, 20), (0, 4), (30, 20), (10, 2), (29, 10), (23, 27), (14, 22), (10, 1), (13, 14), (9, 16), (29, 22), (24, 7), (0, 13), (29, 0), (7, 5), (8, 4), (14, 29), (12, 15), (31, 15), (26, 22), (0, 17), (1, 17), (13, 22), (23, 0), (21, 19), (9, 7), (12, 6), (27, 7), (4, 15), (21, 26), (4, 25), (19, 13), (5, 9), (1, 11), (7, 14), (0, 26), (28, 16), (17, 18), (6, 29), (30, 7), (28, 23), (12, 20), (30, 28), (24, 16), (25, 5), (20, 0), (11, 26), (8, 28), (26, 26), (2, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 5), (2, 17), (33, 5), (19, 11), (31, 14), (31, 31), (7, 8), (5, 11), (36, 28), (35, 21), (8, 31), (23, 5), (4, 30), (33, 34), (2, 12), (15, 20), (22, 9), (14, 3), (27, 28), (14, 10), (19, 14), (26, 17), (0, 10), (32, 21), (32, 7), (27, 13), (0, 22), (3, 2), (35, 23), (34, 24), (10, 30), (13, 28), (13, 20), (34, 29), (4, 13), (31, 6), (26, 8), (27, 32), (0, 23), (26, 10), (8, 15), (32, 5), (9, 15), (10, 24), (19, 16), (28, 24), (29, 28), (8, 26), (14, 24), (17, 15), (34, 33), (18, 7), (13, 11), (17, 6), (34, 15), (17, 10), (22, 5), (29, 16), (23, 10), (32, 31), (25, 27), (18, 29), (29, 29), (28, 5), (34, 27), (30, 31), (31, 10), (1, 11), (36, 16), (34, 4), (29, 26), (9, 23), (12, 9), (14, 22), (5, 23), (15, 23), (2, 33), (27, 27), (3, 30), (23, 17), (12, 17), (7, 34), (5, 28), (15, 21), (7, 18), (20, 25), (19, 25), (28, 25), (25, 11), (13, 27), (33, 20), (7, 7), (11, 16), (13, 5), (36, 20), (35, 6), (4, 19), (30, 18), (28, 29), (12, 3), (35, 31), (5, 32), (1, 26), (29, 6), (30, 7), (25, 6), (13, 21), (29, 27), (28, 28), (17, 21), (9, 0), (25, 18), (4, 31), (30, 26), (21, 1), (13, 24), (34, 12), (34, 23), (14, 21), (17, 14), (32, 24), (12, 18), (36, 23), (10, 6), (20, 19), (31, 22), (33, 17), (12, 24), (36, 33), (18, 16), (14, 31), (22, 29), (24, 8), (19, 24), (12, 8), (4, 34), (6, 14), (32, 0), (1, 10), (2, 21), (25, 34), (10, 0), (8, 22), (12, 34), (22, 30), (16, 14), (0, 28), (16, 16), (24, 14), (19, 30), (10, 5), (25, 5), (28, 32), (31, 20), (23, 18), (26, 30), (5, 34), (27, 22), (23, 0), (9, 21), (16, 8), (28, 19), (3, 23), (1, 2), (23, 7), (26, 0), (13, 17), (34, 20), (16, 12), (24, 18), (25, 1), (22, 18), (36, 25), (29, 7), (4, 10), (36, 32), (13, 0), (2, 34), (32, 17), (12, 1), (5, 30), (15, 30), (15, 7), (20, 30), (7, 20), (1, 28), (21, 16), (16, 13), (1, 9), (16, 1), (4, 5), (20, 4), (8, 2), (21, 30), (32, 10), (1, 29), (5, 2), (13, 25), (30, 13), (13, 14), (33, 19), (23, 30), (4, 27), (19, 12), (1, 16), (33, 27), (19, 32), (36, 7), (33, 9), (32, 13), (33, 2), (36, 5), (17, 17), (32, 25), (22, 22), (24, 5), (8, 25), (6, 10), (10, 26), (16, 2), (21, 19), (35, 0), (22, 6), (33, 7), (26, 9), (21, 6), (14, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 39x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 13), (10, 11), (18, 22), (28, 13), (13, 28), (33, 0), (1, 9), (5, 20), (14, 2), (32, 31), (17, 1), (23, 23), (35, 6), (4, 23), (21, 16), (21, 31), (25, 3), (34, 25), (7, 12), (11, 1), (35, 7), (11, 18), (19, 30), (17, 19), (27, 25), (19, 26), (25, 8), (13, 25), (15, 15), (16, 21), (11, 19), (18, 28), (26, 14), (31, 12), (1, 16), (25, 29), (5, 24), (22, 18), (20, 4), (14, 19), (20, 17), (25, 6), (1, 7), (38, 29), (7, 4), (21, 24), (13, 24), (32, 7), (10, 9), (33, 5), (36, 14), (17, 26), (3, 29), (30, 11), (19, 29), (5, 4), (7, 9), (7, 24), (22, 22), (1, 6), (34, 24), (34, 17), (20, 29), (19, 9), (2, 17), (37, 25), (17, 17), (18, 31), (15, 22), (21, 10), (27, 12), (19, 0), (24, 29), (21, 2), (28, 4), (30, 29), (37, 26), (10, 3), (2, 28), (33, 9), (7, 17), (15, 26), (12, 22), (28, 24), (26, 8), (34, 27), (9, 10), (38, 9), (22, 28), (14, 0), (23, 3), (2, 11), (7, 10), (34, 7), (23, 18), (30, 28), (5, 19), (0, 18), (20, 25), (24, 6), (35, 24), (2, 10), (37, 29), (6, 4), (1, 22), (26, 21), (24, 8), (36, 18), (3, 23), (29, 3), (13, 11), (9, 7), (7, 18), (6, 10), (15, 30), (26, 25), (12, 30), (25, 1), (27, 22), (2, 0), (17, 6), (22, 11), (3, 5), (36, 0), (3, 31), (19, 23), (36, 5), (15, 14), (10, 6), (2, 22), (2, 30), (16, 10), (2, 6), (32, 11), (22, 5), (27, 7), (13, 7), (17, 11), (19, 12), (18, 20), (20, 7), (29, 23), (30, 2), (10, 4), (3, 22), (6, 20), (28, 14), (38, 14), (10, 19), (3, 6), (4, 1), (12, 14), (5, 21), (37, 9), (14, 1), (12, 2), (1, 0), (26, 9), (22, 14), (17, 3), (29, 25), (19, 28), (3, 14), (22, 17), (25, 20), (22, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 24), (20, 18), (20, 14), (24, 28), (3, 24), (16, 5), (0, 12), (2, 34), (7, 11), (24, 24), (21, 2), (3, 1), (7, 34), (15, 2), (10, 24), (2, 2), (34, 35), (16, 26), (26, 16), (10, 6), (8, 6), (35, 26), (21, 6), (18, 31), (31, 2), (11, 0), (2, 5), (14, 23), (12, 4), (28, 30), (34, 16), (13, 0), (3, 10), (22, 12), (21, 27), (29, 31), (34, 4), (20, 32), (14, 10), (25, 33), (1, 3), (11, 7), (8, 26), (17, 10), (30, 13), (5, 16), (7, 10), (5, 13), (2, 13), (13, 4), (11, 17), (10, 16), (10, 0), (5, 35), (3, 22), (19, 12), (32, 3), (23, 27), (27, 7), (29, 2), (22, 33), (18, 22), (11, 22), (16, 6), (29, 11), (12, 23), (15, 24), (10, 34), (26, 26), (27, 8), (7, 26), (15, 30), (24, 12), (26, 7), (10, 31), (22, 25), (29, 35), (34, 13), (11, 11), (34, 6), (13, 35), (11, 33), (25, 5), (31, 1), (26, 20), (34, 5), (32, 27), (14, 17), (15, 3), (9, 12), (10, 18), (21, 28), (33, 22), (30, 14), (31, 13), (0, 17), (2, 21), (19, 27), (6, 28), (20, 3), (29, 10), (6, 9), (11, 19), (16, 3), (4, 9), (13, 3), (23, 34), (8, 4), (32, 0), (10, 33), (4, 15), (32, 35), (11, 31), (24, 11), (7, 12), (23, 14), (29, 9), (32, 9), (20, 13), (12, 28), (35, 21), (8, 16), (30, 26), (4, 30), (32, 2), (30, 5), (9, 30), (34, 14), (33, 29), (29, 32), (5, 22), (22, 8), (35, 32), (5, 29), (28, 32), (32, 31), (9, 1), (26, 33), (16, 24), (0, 33), (20, 31), (32, 12), (28, 7), (34, 12), (35, 4), (29, 13), (20, 33), (35, 27), (10, 35), (32, 20), (31, 10), (22, 3), (14, 30), (20, 16), (13, 8), (9, 21), (2, 35), (19, 19), (27, 12), (4, 0), (27, 6), (8, 0), (12, 7), (0, 35), (12, 11), (1, 25), (29, 30), (5, 15), (33, 8), (20, 10), (8, 31), (32, 6), (3, 21), (4, 19), (4, 2), (0, 20), (35, 24), (17, 26), (2, 10), (33, 12), (17, 15), (24, 10), (2, 11), (14, 9), (29, 16), (25, 35), (10, 20), (21, 3), (34, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 15), (10, 30), (3, 20), (10, 16), (15, 28), (32, 6), (7, 0), (7, 31), (28, 26), (25, 3), (25, 2), (10, 10), (29, 29), (4, 11), (6, 19), (35, 24), (35, 23), (6, 2), (11, 29), (10, 19), (16, 17), (33, 14), (8, 12), (23, 3), (8, 13), (25, 22), (11, 20), (23, 20), (15, 19), (27, 31), (13, 7), (5, 31), (23, 16), (1, 2), (35, 8), (5, 10), (25, 9), (33, 8), (9, 9), (33, 16), (23, 14), (28, 24), (24, 28), (14, 19), (19, 14), (10, 2), (0, 31), (32, 7), (32, 11), (18, 1), (12, 29), (31, 9), (14, 2), (10, 14), (34, 23), (7, 27), (27, 5), (19, 2), (11, 26), (11, 22), (7, 17), (19, 11), (7, 20), (14, 6), (22, 4), (9, 12), (26, 30), (11, 9), (1, 1), (14, 9), (8, 20), (35, 28), (16, 28), (9, 6), (10, 28), (6, 3), (33, 7), (11, 5), (7, 7), (5, 30), (28, 31), (6, 17), (26, 3), (5, 13), (16, 5), (14, 23), (6, 16), (17, 25), (19, 21), (25, 24), (19, 10), (31, 8), (6, 15), (34, 27), (34, 10), (34, 16), (18, 13), (29, 7), (29, 23), (13, 8), (24, 13), (27, 25), (1, 24), (3, 0), (31, 12), (13, 19), (4, 13), (19, 27), (28, 16), (11, 23), (32, 25), (26, 15), (17, 3), (18, 25), (12, 2), (32, 16), (18, 11), (21, 22), (35, 29), (21, 17), (9, 17), (20, 2), (25, 4), (13, 27), (0, 7), (27, 0), (9, 13), (28, 22), (15, 18), (29, 2), (0, 20), (3, 22), (14, 7), (22, 20), (7, 29), (25, 11), (32, 28), (10, 13), (24, 1), (33, 19), (20, 30), (9, 24), (7, 4), (14, 27), (9, 18), (32, 8), (0, 25), (16, 12), (2, 29), (4, 24), (22, 25), (13, 26), (13, 11), (10, 11), (25, 28), (7, 22), (10, 4), (27, 1), (17, 28), (10, 27), (13, 0), (3, 30), (1, 5), (28, 15), (3, 21), (0, 26), (14, 29), (23, 30), (4, 3), (29, 26), (35, 22), (4, 28), (0, 11), (23, 22), (32, 10), (8, 31), (27, 2), (2, 28), (26, 26), (17, 0), (8, 23), (13, 10), (24, 22), (25, 16), (18, 0), (12, 13), (4, 30), (25, 30), (3, 17), (17, 20), (10, 23), (2, 24), (6, 29), (8, 14), (33, 30), (1, 13), (12, 0), (10, 17), (14, 13), (7, 21), (14, 1), (16, 15), (32, 12), (15, 15), (1, 16), (7, 6), (14, 15), (10, 6), (13, 6), (29, 14), (34, 22), (11, 8), (16, 0), (32, 2), (12, 30), (29, 16), (4, 14), (10, 21), (9, 27), (31, 6), (20, 22), (33, 29), (16, 13), (33, 0), (16, 2), (15, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 0), (26, 23), (29, 20), (33, 8), (35, 6), (6, 28), (30, 1), (11, 10), (15, 20), (35, 8), (37, 19), (29, 18), (17, 17), (37, 11), (24, 22), (27, 28), (26, 26), (11, 15), (33, 4), (34, 16), (5, 1), (5, 8), (35, 13), (15, 0), (27, 24), (23, 3), (21, 24), (22, 3), (24, 10), (31, 4), (29, 19), (7, 15), (25, 8), (12, 21), (1, 18), (32, 12), (4, 29), (2, 7), (37, 22), (9, 5), (14, 24), (12, 19), (18, 12), (7, 16), (11, 19), (11, 12), (35, 2), (11, 30), (4, 18), (4, 25), (21, 18), (30, 9), (9, 17), (34, 13), (34, 27), (19, 16), (18, 10), (32, 22), (4, 1), (7, 24), (29, 9), (1, 3), (6, 22), (15, 10), (19, 26), (0, 16), (4, 15), (11, 1), (22, 9), (0, 6), (23, 1), (18, 24), (22, 4), (15, 27), (26, 24), (27, 19), (14, 3), (6, 16), (20, 28), (35, 3), (24, 15), (19, 30), (35, 16), (17, 30), (33, 23), (4, 21), (4, 7), (17, 9), (35, 10), (32, 5), (21, 16), (10, 14), (33, 3), (19, 7), (23, 9), (23, 10), (18, 16), (9, 14), (25, 22), (11, 6), (14, 20), (10, 18), (12, 4), (26, 7), (24, 21), (10, 25), (36, 16), (30, 22), (32, 1), (34, 26), (3, 17), (34, 21), (12, 26), (9, 13), (27, 0), (10, 16), (28, 8), (5, 6), (37, 2), (15, 22), (23, 5), (1, 17), (17, 0), (25, 21), (22, 8), (29, 5), (17, 18), (8, 18), (17, 13), (37, 15), (15, 7), (7, 4), (19, 11), (17, 24), (37, 0), (34, 20), (12, 20), (18, 15), (13, 10), (0, 10), (19, 29), (4, 10), (18, 5), (1, 1), (23, 2), (28, 12), (29, 15), (7, 21), (22, 30), (20, 30), (1, 8), (33, 5), (8, 19), (1, 23), (36, 18), (14, 4), (22, 14), (5, 13), (13, 19), (2, 6), (27, 4), (12, 24), (15, 2), (14, 7), (8, 27), (18, 28), (28, 26), (2, 20), (12, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 32), (20, 36), (29, 5), (20, 2), (12, 36), (34, 2), (15, 13), (11, 8), (16, 25), (23, 22), (0, 8), (3, 3), (13, 27), (22, 3), (14, 4), (21, 18), (10, 4), (23, 27), (32, 1), (16, 27), (37, 26), (4, 26), (27, 19), (12, 7), (5, 37), (1, 21), (16, 6), (23, 25), (5, 32), (31, 33), (19, 4), (2, 15), (33, 33), (21, 23), (35, 31), (5, 8), (33, 30), (31, 27), (10, 1), (2, 25), (34, 32), (29, 16), (29, 20), (31, 18), (16, 33), (22, 37), (22, 17), (24, 20), (37, 13), (28, 2), (6, 3), (33, 28), (21, 5), (19, 11), (26, 19), (7, 37), (32, 0), (25, 11), (1, 5), (10, 25), (32, 19), (10, 6), (35, 10), (27, 28), (17, 31), (17, 29), (18, 10), (8, 35), (34, 19), (9, 34), (16, 32), (4, 12), (32, 3), (30, 1), (13, 19), (32, 8), (34, 18), (9, 1), (35, 5), (32, 27), (35, 11), (10, 18), (8, 6), (5, 23), (33, 22), (5, 7), (2, 20), (30, 22), (26, 37), (28, 16), (2, 18), (32, 34), (33, 37), (9, 10), (9, 16), (19, 30), (13, 32), (12, 14), (21, 1), (3, 37), (10, 34), (23, 9), (8, 13), (32, 17), (18, 33), (20, 27), (9, 14), (34, 8), (8, 25), (17, 25), (28, 29), (29, 26), (2, 32), (26, 8), (15, 10), (5, 0), (25, 32), (27, 6), (23, 21), (21, 11), (28, 18), (12, 30), (25, 4), (24, 18), (31, 24), (11, 26), (17, 33), (25, 9), (17, 10), (21, 2), (9, 2), (20, 11), (15, 33), (32, 29), (19, 8), (12, 19), (13, 7), (22, 16), (33, 32), (4, 30), (23, 33), (2, 17), (34, 29), (5, 27), (34, 22), (4, 6), (5, 21), (35, 29), (37, 7), (24, 11), (14, 18), (27, 8), (6, 34), (31, 3), (24, 35), (1, 24), (1, 3), (4, 14), (29, 6), (1, 27), (34, 10), (9, 35), (37, 28), (18, 29), (17, 35), (21, 16), (30, 20), (26, 21), (13, 37), (11, 2), (9, 31), (34, 14), (37, 6), (15, 17), (2, 14), (11, 14), (33, 34), (16, 1), (18, 3), (19, 22), (30, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 7), (21, 4), (8, 14), (20, 14), (8, 8), (4, 13), (1, 30), (15, 18), (0, 4), (12, 19), (28, 4), (11, 24), (10, 23), (2, 2), (13, 4), (15, 26), (4, 6), (18, 11), (6, 11), (15, 27), (22, 22), (26, 14), (27, 4), (2, 24), (28, 16), (11, 28), (11, 3), (9, 7), (13, 25), (2, 12), (25, 29), (2, 8), (27, 12), (28, 9), (3, 21), (28, 20), (0, 3), (22, 27), (21, 9), (29, 18), (16, 19), (8, 0), (7, 27), (18, 22), (4, 2), (8, 11), (21, 30), (9, 11), (1, 17), (5, 6), (25, 23), (28, 6), (8, 7), (29, 14), (18, 18), (2, 29), (3, 7), (27, 13), (10, 25), (19, 13), (2, 21), (2, 11), (2, 17), (3, 20), (28, 1), (11, 11), (19, 29), (11, 26), (22, 29), (24, 17), (26, 1), (25, 22), (1, 27), (1, 3), (22, 0), (8, 4), (17, 14), (26, 5), (13, 7), (6, 1), (5, 18), (9, 5), (2, 3), (21, 7), (7, 14), (28, 22), (22, 8), (3, 6), (16, 1), (0, 16), (21, 12), (25, 1), (5, 2), (15, 25), (17, 30), (14, 11), (13, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 19), (17, 35), (34, 5), (32, 9), (30, 13), (26, 22), (25, 36), (4, 4), (29, 16), (20, 24), (9, 38), (6, 5), (16, 12), (5, 4), (29, 29), (8, 26), (7, 11), (6, 17), (20, 10), (25, 10), (7, 33), (17, 33), (21, 30), (27, 26), (28, 20), (10, 9), (12, 3), (33, 20), (6, 33), (24, 9), (22, 15), (10, 1), (6, 32), (25, 11), (20, 16), (34, 29), (5, 10), (10, 7), (31, 24), (1, 30), (21, 35), (4, 0), (30, 4), (2, 15), (1, 9), (18, 4), (17, 12), (23, 13), (22, 17), (13, 12), (5, 20), (6, 15), (34, 22), (4, 37), (0, 5), (11, 26), (7, 1), (24, 14), (15, 6), (2, 28), (11, 12), (22, 20), (14, 10), (5, 18), (7, 15), (14, 29), (27, 33), (1, 1), (32, 20), (20, 25), (24, 19), (25, 18), (8, 19), (23, 8), (34, 34), (13, 33), (18, 16), (2, 36), (32, 0), (34, 21), (18, 25), (16, 13), (7, 2), (24, 17), (4, 22), (25, 2), (26, 10), (18, 18), (22, 18), (30, 29), (17, 31), (12, 19), (28, 31), (2, 10), (26, 15), (28, 18), (13, 34), (17, 14), (6, 8), (31, 4), (30, 32), (6, 25), (25, 27), (34, 30), (25, 33), (18, 30), (21, 18), (1, 22), (9, 31), (28, 16), (33, 37), (27, 30), (30, 33), (18, 33), (16, 9), (33, 25), (1, 17), (34, 9), (15, 31), (31, 3), (15, 26), (20, 26), (12, 15), (10, 26), (14, 6), (8, 30), (10, 16), (15, 20), (25, 0), (13, 18), (5, 38), (19, 38), (24, 25), (5, 12), (32, 10), (5, 19), (33, 5), (18, 34), (33, 10), (5, 29), (25, 3), (29, 22), (15, 29), (21, 34), (19, 32), (12, 34), (32, 35), (19, 0), (31, 22), (28, 37), (31, 23), (33, 21), (32, 15), (28, 15), (25, 7), (28, 13), (13, 32), (24, 8), (26, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 32), (16, 16), (17, 28), (21, 22), (29, 9), (19, 5), (26, 4), (22, 6), (13, 9), (8, 4), (2, 12), (35, 2), (3, 31), (31, 14), (8, 10), (15, 10), (1, 16), (8, 13), (33, 22), (20, 20), (27, 9), (7, 14), (3, 20), (12, 29), (12, 2), (25, 10), (9, 14), (27, 6), (24, 4), (21, 16), (33, 28), (31, 20), (9, 21), (26, 3), (19, 28), (4, 2), (22, 8), (4, 33), (23, 14), (27, 2), (34, 14), (11, 24), (31, 9), (30, 14), (28, 24), (19, 22), (20, 33), (14, 10), (33, 14), (19, 29), (12, 27), (27, 0), (11, 32), (28, 12), (31, 0), (8, 20), (27, 15), (19, 20), (6, 10), (31, 27), (3, 16), (4, 5), (10, 7), (32, 9), (32, 10), (23, 2), (32, 12), (34, 18), (24, 18), (3, 19), (35, 24), (6, 9), (0, 25), (21, 12), (29, 19), (1, 29), (33, 10), (18, 17), (26, 32), (5, 16), (24, 33), (29, 6), (35, 3), (6, 12), (2, 2), (0, 16), (6, 14), (20, 15), (1, 33), (13, 3), (6, 22), (5, 25), (24, 0), (35, 32), (2, 7), (7, 20), (9, 18), (35, 14), (19, 6), (17, 8), (1, 13), (35, 26), (30, 29), (8, 18), (33, 11), (17, 19), (34, 31), (9, 24), (16, 12), (8, 15), (25, 20), (10, 6), (10, 32), (21, 8), (35, 28), (28, 6), (26, 20), (8, 27), (32, 29), (23, 25), (28, 25), (3, 15), (35, 19), (23, 19), (19, 12), (18, 27), (9, 17), (30, 10), (5, 18), (7, 15), (1, 30), (32, 30), (34, 1), (19, 4), (2, 30), (16, 3), (7, 22), (20, 26), (29, 28), (12, 1), (23, 20), (15, 29), (10, 19), (22, 7), (23, 17), (32, 27), (31, 12), (24, 29), (19, 32), (35, 16), (5, 29), (15, 9), (5, 15), (18, 5), (18, 16), (18, 0), (16, 2), (2, 0), (10, 25), (9, 6), (34, 26), (33, 17), (20, 2), (2, 15), (2, 27), (14, 32), (12, 32), (11, 6), (20, 4), (24, 9), (14, 17), (25, 30), (9, 28), (29, 13), (10, 3), (10, 16), (20, 30), (3, 13), (11, 27), (19, 11), (15, 16), (15, 15), (16, 4), (9, 15), (6, 24), (33, 9), (33, 23), (10, 1), (28, 33), (31, 33), (28, 14), (9, 10), (7, 2), (3, 32), (16, 29), (27, 30), (30, 22), (28, 4), (27, 4), (31, 16), (19, 7), (0, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 7), (1, 27), (31, 2), (6, 34), (7, 23), (16, 3), (22, 0), (1, 6), (13, 31), (11, 26), (23, 5), (27, 17), (2, 7), (30, 19), (21, 27), (0, 17), (24, 10), (21, 24), (9, 30), (2, 15), (3, 3), (24, 6), (23, 27), (28, 30), (22, 33), (22, 4), (6, 32), (14, 27), (0, 31), (23, 13), (23, 14), (10, 16), (20, 3), (24, 29), (20, 6), (9, 3), (28, 10), (24, 21), (6, 5), (3, 15), (17, 14), (15, 27), (12, 11), (27, 10), (28, 28), (16, 12), (18, 31), (17, 12), (25, 10), (5, 5), (2, 23), (12, 8), (21, 17), (31, 5), (3, 32), (12, 17), (4, 17), (3, 9), (28, 8), (22, 3), (18, 8), (19, 35), (2, 20), (9, 27), (1, 10), (28, 27), (8, 32), (11, 5), (26, 28), (31, 8), (4, 24), (5, 13), (25, 13), (21, 21), (15, 33), (25, 16), (8, 0), (26, 21), (3, 4), (22, 17), (23, 21), (26, 8), (14, 32), (14, 25), (24, 32), (10, 13), (15, 0), (25, 31), (9, 2), (22, 21), (10, 25), (5, 33), (13, 11), (8, 30), (0, 20), (17, 17), (19, 23), (26, 13), (23, 17), (30, 23), (29, 1), (4, 19), (14, 8), (31, 11), (24, 7), (11, 23), (12, 29), (31, 13), (25, 15), (20, 9), (11, 9), (20, 4), (20, 34), (11, 10), (30, 22), (16, 28), (19, 10), (23, 10), (16, 33), (28, 9), (21, 32), (31, 30), (9, 19), (7, 16), (15, 28), (10, 14), (7, 33), (25, 24), (24, 1), (25, 26), (8, 28), (1, 25), (17, 25), (16, 17), (28, 32), (3, 16), (28, 21), (13, 13), (29, 22), (16, 5), (15, 34), (0, 6), (6, 16), (11, 22), (26, 16), (9, 23), (11, 35), (21, 3), (28, 6), (5, 6), (19, 29), (21, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 34x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 25), (26, 29), (25, 22), (31, 19), (30, 2), (2, 1), (21, 12), (5, 35), (18, 5), (3, 22), (0, 8), (28, 1), (5, 2), (7, 6), (33, 23), (30, 7), (4, 16), (23, 5), (17, 16), (9, 31), (13, 29), (32, 28), (14, 31), (2, 7), (29, 34), (11, 23), (28, 4), (12, 7), (5, 16), (29, 35), (18, 22), (15, 29), (14, 6), (16, 26), (23, 34), (8, 22), (18, 7), (11, 11), (22, 5), (8, 18), (14, 14), (30, 8), (22, 29), (1, 13), (6, 22), (25, 3), (31, 20), (25, 8), (1, 30), (21, 34), (10, 15), (22, 18), (14, 23), (28, 2), (9, 19), (20, 35), (14, 13), (15, 9), (10, 24), (33, 8), (15, 1), (23, 22), (1, 25), (15, 25), (33, 13), (4, 12), (26, 22), (19, 20), (25, 33), (14, 19), (33, 27), (18, 16), (17, 7), (26, 6), (1, 26), (15, 10), (31, 29), (6, 35), (31, 4), (11, 4), (11, 29), (25, 7), (13, 11), (9, 10), (30, 11), (24, 35), (16, 17), (15, 0), (16, 34), (3, 15), (8, 27), (30, 26), (5, 28), (14, 27), (8, 12), (22, 12), (31, 26), (12, 18), (19, 22), (27, 11), (8, 4), (3, 29), (7, 5), (6, 29), (14, 10), (5, 4), (19, 30), (16, 7), (13, 33), (6, 26), (8, 3), (0, 7), (17, 4), (12, 4), (7, 7), (13, 9), (19, 24), (31, 21), (18, 13), (8, 33), (15, 22), (32, 31), (22, 3), (3, 31), (20, 22), (33, 31), (4, 28), (4, 1), (7, 30), (33, 21), (4, 34), (5, 11), (0, 16), (15, 32), (26, 14), (25, 31), (26, 21), (13, 24), (6, 10), (22, 0), (4, 4), (14, 15), (23, 21), (27, 19), (26, 27), (12, 13), (33, 20), (17, 23), (22, 33), (3, 21), (15, 19), (21, 28), (1, 9), (29, 15), (23, 24), (5, 14), (27, 9), (2, 5), (16, 1), (25, 24), (32, 24), (23, 35), (0, 33), (27, 5), (0, 32), (26, 24), (5, 15), (7, 20), (18, 27), (25, 12), (30, 27), (28, 35), (7, 19), (8, 5), (15, 11), (9, 1), (22, 6), (11, 16), (16, 13), (7, 1), (9, 11), (18, 29), (21, 8), (6, 32), (17, 5), (3, 6), (25, 5), (11, 7), (0, 23), (21, 18), (12, 12), (8, 30), (17, 14), (20, 3), (32, 29), (32, 16), (18, 3), (12, 3), (22, 26), (3, 28), (11, 14), (2, 15), (21, 32), (3, 7), (13, 2), (12, 0), (33, 33), (9, 15), (7, 4), (5, 5), (17, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 37x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 14), (5, 16), (2, 20), (5, 14), (15, 9), (16, 2), (5, 8), (25, 10), (13, 29), (11, 11), (3, 27), (29, 27), (14, 14), (15, 8), (18, 19), (35, 26), (24, 13), (36, 28), (14, 7), (8, 16), (34, 5), (30, 20), (7, 11), (20, 11), (10, 3), (8, 8), (5, 4), (24, 2), (18, 23), (30, 3), (14, 18), (28, 0), (3, 7), (35, 25), (23, 16), (16, 6), (10, 1), (19, 2), (1, 22), (1, 18), (20, 20), (27, 18), (2, 13), (16, 28), (3, 14), (22, 12), (30, 18), (28, 6), (2, 26), (7, 24), (30, 17), (16, 13), (13, 7), (20, 27), (2, 21), (3, 3), (31, 17), (21, 27), (17, 18), (28, 10), (26, 26), (35, 5), (32, 9), (6, 20), (26, 6), (32, 17), (34, 12), (26, 23), (25, 6), (17, 6), (9, 7), (6, 10), (14, 29), (5, 26), (4, 25), (33, 20), (10, 23), (15, 0), (20, 10), (28, 3), (35, 0), (6, 17), (6, 26), (23, 24), (17, 19), (29, 10), (28, 16), (34, 18), (10, 21), (24, 20), (21, 6), (1, 23), (17, 3), (4, 14), (3, 20), (20, 29), (25, 14), (21, 28), (20, 25), (36, 22), (1, 21), (22, 27), (33, 7), (24, 28), (13, 15), (35, 18), (34, 6), (26, 14), (4, 17), (18, 12), (6, 6), (29, 15), (16, 9), (23, 14), (27, 16), (9, 26), (10, 2), (11, 3), (10, 29), (25, 4), (1, 7), (23, 1), (35, 6), (10, 4), (16, 22), (4, 1), (5, 19), (20, 19), (27, 21), (22, 7), (7, 20), (0, 20), (17, 7), (19, 10), (29, 12), (32, 28), (22, 23), (15, 28), (24, 21), (4, 8), (12, 25), (0, 7), (24, 25), (13, 17), (20, 24), (26, 20), (31, 11), (23, 17), (18, 2), (6, 28), (6, 4), (33, 9), (0, 17), (35, 19), (21, 10), (29, 11), (32, 26), (20, 1), (7, 28), (33, 12), (24, 0), (12, 28), (6, 27), (22, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 2), (4, 1), (26, 28), (29, 17), (22, 27), (13, 0), (23, 6), (37, 30), (2, 20), (31, 27), (21, 27), (12, 18), (28, 1), (10, 29), (20, 27), (33, 9), (16, 24), (5, 15), (17, 11), (19, 33), (14, 17), (30, 11), (24, 25), (32, 29), (31, 9), (33, 16), (27, 27), (17, 32), (15, 4), (19, 12), (5, 18), (30, 17), (20, 14), (23, 12), (36, 13), (15, 2), (27, 4), (25, 25), (23, 32), (23, 26), (8, 28), (12, 7), (13, 29), (34, 7), (19, 29), (16, 27), (2, 2), (14, 29), (10, 17), (36, 5), (9, 18), (0, 19), (37, 7), (35, 33), (6, 25), (30, 1), (5, 3), (6, 10), (14, 28), (24, 30), (4, 3), (6, 14), (19, 6), (30, 32), (9, 4), (28, 24), (22, 32), (9, 11), (33, 18), (2, 31), (3, 7), (18, 15), (29, 1), (24, 6), (0, 20), (34, 21), (1, 23), (19, 21), (7, 18), (14, 22), (14, 7), (8, 12), (20, 21), (6, 29), (20, 10), (19, 24), (35, 28), (16, 8), (10, 23), (8, 14), (19, 10), (32, 16), (12, 9), (19, 27), (35, 6), (8, 0), (27, 16), (25, 31), (12, 1), (25, 1), (9, 9), (1, 1), (22, 29), (33, 26), (20, 1), (15, 33), (27, 19), (3, 6), (31, 23), (32, 23), (26, 15), (29, 8), (27, 29), (31, 6), (12, 5), (1, 28), (24, 32), (10, 30), (34, 8), (11, 31), (26, 13), (12, 3), (31, 30), (37, 21), (9, 3), (18, 13), (27, 7), (9, 29), (25, 5), (27, 1), (28, 30), (36, 4), (20, 24), (4, 8), (24, 0), (0, 25), (13, 26), (37, 6), (22, 14), (30, 5), (22, 23), (15, 29), (16, 19), (22, 18), (23, 3), (8, 27), (26, 14), (26, 31), (2, 22), (18, 8), (3, 25), (20, 26), (3, 26), (25, 8), (8, 31), (16, 7), (34, 16), (13, 3), (14, 15), (34, 5), (24, 1), (32, 2), (24, 33), (0, 27), (17, 10), (34, 30), (9, 20), (18, 32), (25, 21), (33, 25), (31, 12), (35, 3), (29, 7), (24, 9), (11, 2), (33, 3), (28, 16), (8, 19), (31, 7), (22, 26), (36, 27), (11, 1), (16, 15), (29, 3), (22, 20), (16, 21), (32, 18), (5, 12), (36, 15), (35, 7), (12, 15), (30, 3), (20, 33), (23, 9), (16, 23), (2, 8), (23, 19), (2, 17), (28, 17), (9, 19), (5, 20), (20, 19), (4, 24), (16, 32), (10, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 27), (7, 10), (22, 15), (23, 0), (32, 16), (30, 21), (35, 6), (22, 0), (21, 1), (6, 13), (20, 20), (13, 0), (2, 30), (18, 17), (14, 12), (31, 11), (10, 29), (11, 16), (30, 23), (14, 17), (32, 8), (18, 25), (10, 3), (14, 4), (11, 25), (34, 2), (23, 14), (16, 23), (17, 5), (2, 16), (35, 9), (34, 12), (27, 15), (0, 23), (32, 21), (13, 6), (8, 18), (27, 3), (20, 0), (21, 26), (28, 6), (24, 23), (20, 25), (9, 10), (9, 17), (16, 21), (15, 6), (36, 25), (37, 25), (24, 30), (1, 5), (15, 14), (3, 24), (23, 8), (26, 24), (8, 25), (20, 10), (5, 14), (35, 21), (12, 7), (5, 18), (32, 12), (21, 23), (1, 15), (1, 28), (36, 29), (29, 28), (17, 3), (33, 2), (18, 13), (33, 13), (5, 5), (14, 18), (13, 17), (35, 13), (16, 3), (30, 2), (35, 22), (31, 16), (22, 28), (16, 25), (31, 22), (5, 29), (26, 13), (20, 18), (16, 20), (7, 24), (4, 3), (12, 2), (18, 1), (34, 5), (0, 14), (9, 6), (16, 29), (36, 16), (14, 30), (30, 22), (25, 28), (0, 2), (9, 8), (4, 5), (4, 15), (33, 22), (22, 3), (11, 17), (18, 14), (19, 2), (0, 8), (31, 24), (1, 14), (6, 5), (37, 16), (31, 12), (15, 15), (4, 13), (25, 29), (24, 16), (13, 19), (33, 29), (12, 14), (13, 7), (19, 24), (7, 0), (24, 18), (2, 13), (35, 19), (7, 6), (34, 4), (6, 4), (25, 12), (6, 1), (5, 8), (21, 20), (18, 18), (29, 9), (8, 30), (26, 10), (11, 0), (36, 21), (13, 25), (9, 21), (37, 3), (34, 27), (3, 0), (35, 1), (30, 13), (8, 7), (9, 1), (1, 8), (13, 21), (3, 17), (0, 29), (2, 10), (34, 16), (36, 24), (7, 15), (31, 5), (32, 27), (8, 13), (17, 1), (6, 15), (10, 18), (13, 28), (26, 4), (13, 1), (28, 29), (24, 7), (25, 16), (18, 27), (17, 23), (24, 9), (17, 6), (15, 1), (34, 28), (21, 24), (5, 2), (37, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 25), (15, 26), (29, 32), (16, 29), (14, 23), (3, 18), (16, 1), (0, 14), (1, 32), (27, 10), (3, 7), (26, 32), (4, 6), (20, 30), (22, 4), (15, 16), (27, 17), (21, 31), (19, 25), (25, 1), (15, 20), (2, 0), (25, 14), (19, 13), (12, 21), (4, 26), (13, 2), (1, 27), (19, 7), (27, 4), (13, 8), (25, 33), (0, 30), (9, 1), (18, 31), (25, 30), (4, 33), (8, 4), (25, 11), (25, 27), (0, 29), (28, 15), (22, 11), (16, 8), (2, 10), (23, 2), (22, 28), (18, 18), (10, 12), (17, 19), (25, 17), (24, 23), (17, 26), (27, 21), (11, 4), (16, 6), (12, 22), (9, 29), (22, 14), (2, 23), (2, 29), (29, 11), (29, 13), (28, 2), (0, 26), (24, 1), (26, 30), (8, 3), (12, 18), (16, 19), (5, 2), (2, 14), (18, 29), (25, 22), (5, 9), (10, 7), (7, 30), (0, 7), (8, 29), (20, 17), (6, 12), (22, 23), (21, 25), (22, 2), (22, 16), (4, 4), (25, 19), (4, 20), (16, 3), (23, 21), (29, 12), (1, 25), (20, 11), (14, 22), (1, 11), (6, 15), (8, 15), (11, 2), (16, 4), (20, 23), (21, 10), (11, 24), (14, 7), (13, 3), (2, 4), (21, 6), (9, 21), (8, 32), (22, 12), (28, 23), (6, 32), (19, 6), (14, 25), (2, 17), (5, 8), (27, 30), (6, 11), (8, 0), (2, 26), (24, 27), (22, 0), (26, 23), (16, 0), (18, 10), (17, 8), (29, 25), (14, 8), (7, 15), (10, 26), (29, 0), (6, 22), (25, 0), (29, 30), (8, 8), (5, 30), (22, 7), (29, 24), (25, 15), (24, 31), (9, 5), (11, 17), (19, 10), (12, 31), (18, 4), (17, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 30), (4, 20), (17, 2), (14, 29), (6, 9), (26, 2), (5, 26), (3, 20), (0, 20), (17, 24), (20, 5), (24, 25), (21, 23), (13, 28), (21, 12), (25, 10), (23, 33), (4, 4), (29, 24), (10, 28), (7, 10), (14, 8), (26, 13), (29, 0), (14, 7), (21, 27), (9, 16), (29, 16), (6, 23), (25, 19), (16, 33), (7, 1), (15, 25), (23, 14), (11, 26), (3, 1), (15, 24), (4, 7), (8, 9), (5, 16), (27, 23), (14, 2), (21, 26), (16, 23), (12, 4), (6, 13), (19, 11), (3, 9), (11, 14), (19, 7), (26, 18), (9, 28), (26, 27), (28, 11), (13, 17), (0, 15), (4, 27), (6, 25), (2, 31), (16, 31), (16, 25), (2, 4), (7, 14), (25, 5), (16, 18), (9, 32), (29, 32), (12, 6), (18, 17), (27, 29), (10, 16), (1, 13), (3, 32), (29, 9), (1, 9), (6, 7), (14, 4), (13, 27), (0, 7), (19, 14), (9, 10), (28, 10), (29, 11), (25, 14), (23, 12), (27, 10), (21, 32), (27, 34), (22, 28), (10, 15), (13, 32), (28, 31), (5, 17), (6, 18), (25, 1), (1, 33), (21, 18), (16, 11), (19, 33), (19, 32), (21, 28), (0, 23), (1, 0), (13, 34), (24, 3), (18, 27), (28, 28), (25, 4), (20, 8), (13, 6), (12, 30), (7, 13), (17, 13), (26, 34), (5, 25), (12, 5), (3, 25), (28, 18), (24, 4), (25, 7), (24, 13), (2, 34), (25, 2), (4, 14), (29, 15), (22, 15), (16, 17), (18, 8), (9, 27), (19, 28), (10, 17), (14, 12), (23, 16), (18, 31), (15, 11), (2, 20), (22, 21), (7, 4), (8, 14), (25, 31), (27, 5), (18, 19), (2, 17), (7, 5), (13, 8), (17, 33), (4, 25), (14, 10), (20, 25), (16, 4), (27, 25), (25, 3), (16, 2), (24, 2), (8, 7), (29, 7), (8, 12), (3, 21), (11, 15), (17, 15), (27, 3), (6, 19), (13, 23), (26, 15), (1, 3), (22, 26), (15, 17), (24, 18), (17, 4), (22, 20), (15, 32), (18, 14), (21, 1), (5, 1), (10, 21), (22, 14), (26, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 4), (33, 5), (19, 5), (18, 8), (31, 15), (14, 32), (10, 19), (7, 3), (29, 31), (5, 8), (36, 15), (2, 17), (0, 18), (6, 7), (29, 30), (38, 14), (15, 12), (17, 8), (20, 27), (24, 2), (3, 11), (25, 15), (30, 11), (3, 28), (32, 12), (10, 26), (22, 1), (36, 19), (34, 6), (7, 4), (17, 7), (25, 24), (24, 23), (28, 22), (38, 5), (4, 28), (24, 22), (18, 31), (22, 26), (26, 27), (30, 16), (32, 17), (3, 20), (6, 0), (33, 10), (4, 16), (11, 0), (8, 18), (35, 2), (4, 12), (22, 17), (8, 10), (28, 14), (20, 2), (23, 19), (8, 17), (18, 10), (12, 27), (9, 3), (38, 24), (33, 26), (23, 2), (37, 17), (23, 3), (14, 5), (23, 22), (9, 16), (7, 20), (22, 24), (14, 6), (15, 27), (35, 7), (16, 26), (22, 15), (25, 16), (4, 19), (30, 8), (22, 30), (9, 0), (11, 28), (38, 23), (4, 9), (33, 30), (8, 13), (9, 27), (29, 25), (1, 18), (6, 30), (38, 17), (27, 18), (30, 28), (33, 7), (4, 20), (2, 23), (5, 23), (29, 10), (33, 1), (9, 2), (14, 3), (32, 6), (19, 0), (34, 3), (29, 23), (27, 10), (33, 22), (7, 9), (14, 22), (29, 24), (3, 18), (34, 20), (16, 21), (28, 25), (3, 30), (25, 4), (23, 27), (26, 7), (18, 16), (33, 20), (38, 19), (25, 28), (13, 4), (10, 1), (6, 19), (7, 6), (35, 27), (30, 21), (4, 24), (38, 3), (25, 3), (36, 17), (0, 15), (36, 8), (14, 28), (7, 12), (20, 7), (29, 5), (13, 28), (8, 6), (9, 17), (24, 9), (15, 31), (0, 24), (24, 13), (7, 30), (4, 5), (0, 32), (31, 20), (36, 32), (6, 15), (30, 6), (8, 7), (25, 30), (6, 20), (11, 7), (23, 26), (25, 2), (36, 11), (6, 22), (3, 26), (12, 15), (21, 19), (11, 26), (23, 21), (20, 21), (31, 21), (26, 4), (6, 11), (32, 30), (0, 5), (13, 20), (3, 7), (14, 2), (37, 8), (18, 15), (32, 1), (12, 20), (17, 21), (23, 4), (32, 2), (38, 8), (34, 32), (18, 21), (11, 31), (4, 15), (5, 25), (8, 27), (14, 10), (24, 30), (34, 14), (13, 19), (26, 21), (29, 9), (31, 24), (36, 9), (22, 8), (27, 1), (9, 25), (18, 3), (32, 8), (26, 29), (25, 9), (11, 24), (18, 22), (35, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 2), (4, 11), (11, 10), (8, 1), (31, 21), (15, 9), (23, 11), (29, 25), (25, 21), (34, 3), (14, 26), (28, 20), (25, 16), (13, 20), (24, 21), (32, 20), (21, 11), (6, 32), (25, 29), (6, 21), (26, 9), (21, 13), (23, 29), (31, 6), (3, 18), (1, 6), (13, 22), (34, 19), (34, 29), (24, 24), (16, 17), (29, 32), (15, 3), (4, 13), (24, 8), (3, 30), (34, 31), (11, 31), (7, 23), (30, 26), (27, 27), (28, 3), (12, 29), (22, 12), (16, 18), (27, 26), (23, 27), (11, 24), (11, 15), (6, 27), (5, 28), (19, 15), (31, 5), (12, 5), (32, 2), (14, 23), (28, 16), (27, 21), (3, 5), (14, 27), (8, 26), (8, 18), (25, 4), (6, 7), (30, 18), (32, 7), (8, 29), (6, 10), (12, 22), (22, 1), (20, 13), (24, 3), (14, 17), (9, 14), (8, 7), (22, 13), (4, 1), (9, 0), (20, 1), (12, 1), (31, 26), (3, 21), (20, 12), (4, 28), (15, 29), (21, 12), (7, 15), (10, 29), (29, 0), (16, 10), (4, 8), (10, 13), (3, 10), (29, 19), (2, 24), (26, 22), (13, 30), (25, 18), (31, 25), (1, 19), (4, 24), (34, 9), (12, 32), (22, 4), (14, 4), (20, 15), (15, 10), (17, 4), (0, 10), (25, 6), (28, 9), (9, 13), (21, 8), (16, 32), (27, 28), (25, 22), (31, 16), (4, 23), (28, 28), (13, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 3), (5, 25), (29, 29), (27, 12), (4, 9), (5, 24), (31, 5), (19, 1), (5, 3), (7, 19), (12, 12), (14, 0), (11, 27), (36, 29), (30, 6), (17, 10), (12, 9), (35, 25), (28, 9), (33, 22), (4, 17), (3, 28), (25, 29), (24, 21), (2, 16), (25, 28), (13, 9), (8, 12), (27, 0), (16, 17), (37, 17), (8, 23), (8, 7), (20, 22), (21, 1), (22, 26), (37, 11), (11, 2), (6, 29), (13, 12), (18, 26), (19, 25), (8, 19), (19, 21), (25, 2), (29, 26), (0, 21), (5, 12), (3, 9), (31, 16), (24, 26), (28, 22), (30, 2), (27, 5), (7, 23), (9, 4), (0, 23), (8, 11), (14, 13), (13, 20), (14, 19), (19, 2), (2, 19), (24, 5), (31, 14), (34, 10), (4, 18), (13, 18), (20, 7), (23, 3), (1, 23), (13, 27), (31, 27), (26, 6), (24, 17), (22, 10), (14, 1), (16, 20), (21, 6), (21, 27), (2, 14), (0, 11), (0, 12), (11, 17), (5, 2), (7, 29), (8, 15), (9, 29), (18, 2), (22, 5), (1, 10), (24, 29), (29, 14), (36, 22), (30, 20), (23, 29), (32, 8), (2, 23), (23, 13), (19, 11), (32, 17), (9, 27), (30, 25), (37, 0), (12, 27), (26, 27), (28, 14), (7, 10), (15, 23), (20, 12), (1, 0), (13, 25), (16, 3), (9, 20), (18, 16), (1, 26), (14, 21), (1, 13), (14, 2), (33, 13), (7, 25), (21, 23), (12, 13), (7, 6), (22, 25), (27, 6), (17, 26), (11, 9), (32, 30), (26, 12), (22, 13), (30, 24), (3, 0), (15, 30), (8, 29), (28, 6), (16, 8), (3, 6), (30, 15), (24, 10), (24, 11), (17, 30), (28, 10), (24, 13), (2, 22), (31, 22), (21, 17), (20, 1), (13, 28), (14, 8), (10, 29), (15, 14), (37, 2), (29, 22), (16, 1), (19, 10), (16, 26), (12, 24), (16, 13), (19, 6), (32, 19), (18, 27), (34, 21), (33, 7), (18, 18), (17, 5), (27, 11), (2, 11), (20, 28), (9, 30), (17, 8), (11, 11), (7, 4), (18, 3), (5, 28), (16, 19), (27, 19), (18, 13), (24, 8), (19, 22), (25, 24), (12, 4), (10, 6), (3, 14), (1, 15), (20, 30), (5, 6), (11, 4), (14, 30), (22, 1), (13, 30), (13, 15), (13, 16), (31, 13), (14, 23), (18, 6), (17, 7), (10, 15), (16, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 29), (22, 3), (12, 9), (28, 32), (19, 32), (1, 1), (15, 2), (17, 25), (1, 10), (8, 16), (18, 2), (26, 4), (16, 28), (9, 20), (3, 5), (28, 11), (15, 1), (7, 6), (10, 5), (28, 13), (9, 26), (2, 14), (15, 37), (27, 28), (19, 4), (16, 13), (25, 6), (21, 24), (7, 7), (18, 5), (6, 29), (13, 15), (22, 30), (17, 9), (10, 2), (8, 19), (19, 12), (6, 24), (2, 28), (27, 30), (17, 37), (24, 36), (21, 29), (14, 4), (19, 20), (12, 32), (18, 27), (17, 35), (2, 12), (28, 37), (0, 26), (17, 7), (9, 35), (2, 16), (21, 18), (24, 2), (19, 0), (16, 0), (23, 36), (2, 10), (16, 27), (28, 21), (25, 21), (18, 1), (3, 6), (29, 1), (20, 29), (5, 29), (19, 26), (23, 31), (29, 24), (4, 25), (24, 24), (1, 19), (27, 10), (9, 23), (27, 26), (8, 13), (9, 33), (19, 18), (27, 8), (5, 5), (3, 0), (19, 27), (1, 35), (17, 26), (11, 28), (8, 30), (17, 4), (20, 0), (23, 22), (0, 7), (4, 2), (22, 21), (13, 22), (3, 14), (27, 5), (12, 12), (22, 12), (6, 27), (11, 4), (1, 9), (3, 17), (11, 29), (19, 22), (2, 25), (13, 4), (22, 26), (26, 1), (9, 15), (7, 37), (7, 10), (12, 16), (13, 3), (7, 33), (18, 9), (20, 26), (24, 16), (18, 4), (7, 1), (26, 14), (25, 15), (5, 10), (14, 21), (0, 22), (11, 24), (13, 33), (0, 23), (1, 16), (2, 29), (25, 7), (15, 34), (17, 11), (23, 2), (10, 20), (14, 25), (16, 7), (19, 37), (19, 17), (10, 17), (24, 28), (25, 5), (14, 18), (17, 34), (4, 14), (29, 33), (4, 8), (17, 1), (16, 5), (12, 15), (17, 16), (6, 32), (14, 9), (16, 2), (4, 23), (19, 6), (20, 5), (14, 14), (4, 28), (25, 18), (15, 20), (23, 9), (9, 10), (8, 31), (24, 10), (27, 4), (16, 17), (26, 13), (15, 28), (29, 30), (28, 27), (16, 21), (4, 21), (23, 17), (26, 12), (27, 7), (15, 31), (8, 7), (10, 34), (17, 18), (14, 0), (11, 15), (26, 33), (20, 14), (28, 10), (5, 22), (17, 2), (19, 1), (23, 21), (27, 12), (27, 34), (18, 36), (13, 25), (26, 24), (10, 13), (3, 10), (14, 6), (19, 34), (26, 19), (28, 34), (7, 17), (1, 13), (6, 5), (13, 20), (22, 18), (14, 30), (13, 14), (9, 13), (5, 0), (10, 4), (5, 30), (3, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 27), (24, 27), (6, 1), (13, 19), (0, 9), (29, 0), (17, 20), (6, 27), (16, 26), (23, 23), (14, 1), (33, 3), (19, 15), (3, 3), (29, 4), (13, 33), (15, 23), (22, 10), (24, 3), (27, 3), (6, 4), (11, 29), (5, 27), (20, 1), (4, 2), (23, 6), (30, 21), (24, 26), (19, 5), (8, 0), (34, 10), (24, 4), (29, 29), (4, 0), (3, 11), (23, 32), (9, 32), (27, 14), (33, 24), (25, 7), (22, 20), (27, 22), (13, 10), (33, 31), (4, 30), (6, 13), (21, 32), (32, 10), (4, 31), (26, 7), (35, 20), (30, 8), (12, 11), (12, 22), (14, 8), (6, 29), (30, 27), (19, 6), (8, 30), (31, 30), (20, 4), (28, 10), (9, 17), (16, 30), (28, 33), (34, 27), (15, 4), (0, 28), (14, 5), (16, 6), (32, 16), (22, 8), (21, 16), (10, 30), (11, 14), (26, 14), (14, 31), (10, 8), (6, 3), (23, 25), (14, 30), (15, 28), (12, 2), (19, 21), (12, 10), (21, 20), (30, 7), (22, 27), (20, 11), (6, 33), (23, 15), (24, 8), (35, 6), (8, 4), (1, 19), (33, 28), (1, 18), (19, 3), (12, 9), (30, 6), (1, 3), (25, 17), (2, 32), (27, 2), (20, 25), (29, 7), (20, 26), (4, 16), (8, 27), (33, 10), (15, 14), (1, 27), (15, 25), (7, 13), (11, 4), (33, 18), (35, 24), (1, 7), (21, 1), (14, 26), (12, 29), (19, 7), (8, 31), (27, 12), (20, 16), (21, 23), (23, 0), (30, 12), (4, 29), (23, 16), (11, 33), (29, 13), (2, 30), (32, 14), (14, 17), (26, 21), (21, 14), (14, 19), (26, 22), (2, 10), (15, 19), (9, 1), (29, 2), (12, 4), (22, 14), (22, 23), (21, 25), (33, 14), (21, 2), (26, 28), (7, 17), (17, 5), (16, 7), (12, 24), (11, 18), (19, 16), (18, 24), (30, 9), (20, 32), (9, 29), (20, 6), (33, 22), (29, 9), (13, 25), (16, 3), (31, 4), (24, 12), (33, 23), (34, 29), (23, 19), (19, 8), (28, 15), (23, 26), (10, 7), (2, 0), (8, 16), (7, 1), (19, 33), (25, 23), (8, 20), (7, 6), (7, 26), (23, 20), (1, 10), (2, 2), (6, 20), (33, 9), (20, 33), (6, 6), (21, 0), (28, 14), (11, 22), (22, 6), (0, 25), (1, 9), (21, 22), (21, 21), (14, 33), (28, 26), (30, 11), (18, 12), (22, 2), (21, 6), (29, 16), (10, 26), (35, 10), (26, 32), (2, 31), (26, 27), (5, 25), (31, 16), (9, 23), (19, 17), (33, 27), (5, 31), (15, 22), (27, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 24), (17, 13), (17, 15), (27, 12), (16, 24), (13, 8), (29, 26), (27, 14), (6, 30), (11, 8), (21, 7), (11, 24), (21, 5), (26, 10), (20, 6), (8, 1), (11, 11), (8, 9), (15, 7), (18, 27), (10, 5), (24, 10), (4, 21), (28, 31), (0, 13), (29, 22), (7, 5), (24, 23), (18, 22), (21, 18), (17, 6), (7, 19), (13, 13), (27, 16), (26, 15), (11, 16), (0, 14), (29, 23), (14, 1), (17, 7), (14, 13), (14, 2), (25, 5), (16, 12), (12, 27), (7, 25), (28, 27), (10, 19), (15, 6), (27, 2), (21, 11), (8, 17), (15, 0), (1, 14), (25, 19), (13, 29), (12, 12), (26, 2), (13, 15), (4, 4), (25, 13), (13, 19), (24, 16), (24, 31), (14, 27), (5, 31), (26, 12), (11, 31), (27, 24), (8, 15), (4, 6), (24, 26), (12, 11), (11, 25), (24, 3), (20, 17), (19, 4), (8, 30), (22, 31), (30, 20), (9, 3), (8, 4), (1, 16), (16, 11), (11, 17), (1, 20), (6, 29), (5, 15), (12, 30), (6, 13), (12, 31), (21, 29), (15, 29), (20, 10), (25, 29), (16, 5), (27, 4), (8, 14), (15, 14), (20, 28), (3, 26), (29, 4), (9, 30), (27, 20), (19, 18), (28, 9), (20, 26), (1, 6), (5, 14), (25, 3), (24, 25), (13, 30), (5, 26), (18, 7), (26, 26), (11, 3), (30, 13), (23, 6), (17, 3), (18, 6), (5, 3), (5, 11), (16, 17), (24, 12), (9, 5), (23, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 26), (27, 18), (7, 16), (27, 4), (21, 23), (3, 32), (0, 29), (19, 15), (8, 27), (13, 4), (13, 11), (23, 6), (24, 3), (17, 10), (16, 17), (24, 22), (22, 29), (27, 26), (15, 4), (10, 14), (5, 31), (30, 4), (7, 29), (3, 11), (5, 28), (27, 7), (9, 2), (30, 31), (11, 8), (25, 13), (2, 20), (31, 12), (23, 12), (32, 30), (7, 15), (15, 19), (4, 13), (4, 12), (5, 2), (20, 30), (9, 11), (3, 27), (28, 5), (7, 5), (30, 29), (11, 12), (31, 2), (19, 3), (14, 23), (11, 31), (1, 25), (30, 18), (5, 0), (15, 27), (5, 24), (8, 18), (3, 24), (1, 23), (2, 15), (28, 23), (11, 32), (15, 31), (12, 0), (0, 10), (16, 30), (11, 1), (15, 26), (1, 29), (27, 0), (31, 1), (18, 25), (14, 3), (1, 24), (25, 25), (22, 14), (23, 23), (32, 27), (5, 22), (28, 3), (5, 15), (32, 9), (9, 12), (21, 8), (26, 29), (5, 20), (32, 26), (32, 11), (11, 18), (23, 32), (19, 23), (21, 26), (15, 24), (12, 3), (9, 25), (16, 1), (10, 30), (16, 21), (14, 19), (24, 9), (18, 10), (7, 0), (20, 28), (7, 2), (17, 25), (29, 32), (11, 19), (13, 16), (25, 10), (13, 10), (14, 22), (0, 1), (18, 21), (1, 2), (25, 22), (2, 22), (17, 21), (12, 7), (19, 27), (13, 18), (12, 30), (17, 30), (15, 11), (22, 16), (14, 17), (20, 13), (27, 2), (21, 21), (17, 6), (7, 3), (26, 24), (2, 25), (16, 14), (26, 14), (8, 3), (23, 17), (4, 3), (4, 7), (27, 6), (5, 32), (15, 22), (6, 18), (19, 12), (21, 5), (23, 31), (29, 24), (24, 32), (26, 1), (21, 1), (28, 11), (14, 9), (17, 28), (24, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 7), (15, 0), (26, 29), (31, 6), (3, 22), (23, 25), (16, 29), (25, 28), (20, 21), (29, 29), (31, 9), (19, 23), (26, 7), (6, 4), (17, 14), (11, 20), (13, 28), (23, 9), (8, 6), (0, 13), (9, 8), (25, 29), (25, 32), (8, 3), (2, 3), (12, 15), (18, 29), (20, 26), (6, 18), (22, 27), (0, 5), (26, 13), (27, 1), (21, 18), (3, 25), (25, 27), (26, 28), (9, 23), (18, 11), (20, 24), (5, 25), (5, 33), (25, 20), (17, 4), (24, 13), (17, 24), (0, 33), (15, 20), (28, 2), (11, 11), (30, 11), (23, 14), (31, 23), (13, 19), (13, 1), (23, 33), (25, 5), (29, 19), (9, 17), (14, 9), (15, 25), (6, 9), (23, 21), (10, 15), (9, 31), (9, 9), (31, 13), (9, 7), (7, 27), (29, 24), (15, 5), (30, 15), (31, 18), (19, 31), (21, 21), (13, 15), (8, 30), (3, 28), (23, 30), (19, 11), (2, 1), (5, 18), (28, 22), (14, 31), (20, 7), (21, 32), (11, 21), (24, 25), (10, 24), (12, 16), (30, 31), (15, 29), (24, 4), (29, 13), (5, 9), (9, 1), (18, 18), (0, 19), (25, 0), (11, 31), (4, 31), (1, 1), (25, 24), (5, 27), (3, 13), (11, 5), (23, 8), (14, 18), (15, 21), (25, 33), (25, 14), (8, 15), (29, 6), (1, 5), (16, 2), (2, 15), (14, 2), (16, 12), (6, 7), (2, 30), (16, 3), (31, 1), (22, 29), (10, 3), (13, 5), (8, 2), (25, 4), (10, 30), (18, 14), (11, 6), (1, 14), (1, 32), (1, 25), (31, 28), (12, 21), (17, 17), (13, 23), (31, 30), (13, 30), (24, 26), (22, 10), (4, 0), (22, 32), (16, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 5), (19, 15), (23, 13), (16, 15), (2, 11), (12, 7), (30, 27), (22, 25), (28, 9), (35, 3), (31, 8), (30, 8), (11, 5), (11, 33), (8, 12), (13, 20), (17, 22), (1, 4), (18, 20), (16, 23), (1, 18), (17, 31), (2, 13), (33, 18), (11, 34), (35, 5), (34, 31), (34, 18), (9, 34), (1, 21), (21, 16), (11, 6), (3, 30), (13, 9), (9, 10), (1, 30), (32, 15), (8, 0), (23, 26), (18, 13), (4, 2), (29, 17), (33, 26), (17, 35), (30, 28), (15, 5), (12, 2), (14, 24), (9, 9), (28, 6), (4, 0), (12, 23), (9, 27), (17, 14), (23, 4), (8, 35), (20, 9), (5, 12), (17, 4), (19, 9), (20, 25), (31, 25), (25, 29), (20, 29), (22, 28), (17, 10), (15, 29), (33, 22), (27, 3), (13, 14), (24, 18), (6, 10), (5, 27), (8, 11), (7, 35), (9, 30), (24, 8), (30, 11), (2, 10), (19, 11), (26, 2), (34, 2), (32, 16), (6, 28), (17, 19), (24, 35), (29, 25), (24, 34), (18, 28), (27, 24), (20, 5), (6, 14), (24, 11), (31, 7), (16, 12), (21, 6), (29, 24), (28, 19), (28, 18), (18, 31), (11, 18), (5, 4), (5, 34), (10, 7), (35, 34), (11, 13), (13, 19), (5, 30), (31, 19), (21, 33), (10, 28), (19, 19), (13, 7), (34, 17), (24, 16), (27, 13), (35, 27), (26, 0), (6, 32), (2, 4), (27, 7), (30, 15), (7, 31), (14, 11), (33, 17), (14, 0), (21, 17), (23, 12), (26, 29), (11, 9), (18, 19), (3, 22), (14, 30), (29, 34), (9, 25), (17, 13), (7, 1), (33, 30), (9, 28), (6, 18), (2, 23), (30, 14), (18, 0), (7, 11), (21, 26), (19, 28), (34, 9), (3, 27), (21, 0), (11, 35), (25, 14), (29, 22), (32, 22), (18, 21), (21, 25), (10, 6), (11, 14), (34, 21), (16, 33), (32, 9), (5, 13), (28, 34), (16, 14), (25, 2), (12, 16), (35, 20), (23, 25), (10, 26), (17, 6), (13, 3), (1, 11), (32, 11), (22, 17), (27, 19), (26, 9), (0, 34), (20, 14), (7, 24), (24, 17), (9, 14), (27, 2), (19, 1), (16, 35), (11, 31), (19, 29), (35, 7), (32, 2), (22, 7), (24, 3), (7, 19), (30, 30), (5, 2), (12, 4), (3, 18), (0, 24), (34, 34), (3, 24), (18, 3), (22, 35), (12, 0), (25, 10), (17, 3), (26, 19), (6, 20), (12, 11), (0, 6), (33, 1), (32, 23), (9, 13), (7, 16), (5, 25), (10, 35), (17, 29), (18, 27), (20, 10), (26, 20), (33, 6), (15, 18), (18, 30), (20, 21), (33, 11), (28, 24), (15, 3), (25, 8), (11, 1), (28, 17), (1, 24), (34, 20), (32, 28), (32, 4), (19, 3), (16, 16), (25, 24), (15, 11), (21, 5), (18, 16), (34, 30), (6, 29), (25, 7), (24, 9), (0, 8), (10, 4), (20, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 9), (15, 19), (18, 0), (25, 10), (12, 17), (15, 13), (12, 25), (0, 23), (23, 28), (30, 9), (31, 9), (30, 16), (19, 9), (1, 9), (18, 12), (11, 29), (5, 6), (20, 10), (9, 25), (24, 23), (1, 0), (14, 24), (23, 14), (21, 1), (5, 28), (21, 8), (2, 14), (28, 10), (10, 30), (27, 3), (24, 5), (16, 10), (22, 7), (14, 27), (25, 24), (9, 14), (27, 16), (17, 23), (30, 10), (19, 4), (5, 0), (22, 24), (6, 30), (29, 7), (6, 19), (15, 0), (11, 26), (7, 29), (31, 10), (0, 19), (25, 14), (15, 4), (27, 12), (30, 15), (7, 8), (29, 5), (31, 11), (11, 14), (23, 3), (22, 6), (11, 28), (30, 4), (31, 28), (30, 0), (15, 22), (6, 14), (28, 23), (21, 0), (22, 15), (16, 4), (14, 21), (19, 16), (29, 20), (11, 18), (13, 15), (11, 1), (3, 5), (30, 21), (28, 14), (8, 22), (29, 18), (3, 16), (6, 7), (3, 19), (1, 14), (29, 29), (2, 12), (12, 14), (27, 13), (4, 20), (3, 18), (5, 7), (11, 30), (25, 15), (16, 23), (25, 29), (10, 7), (19, 18), (13, 29), (8, 5), (24, 16), (22, 10), (13, 24), (9, 22), (2, 13), (20, 9), (27, 24), (4, 13), (18, 26), (13, 3), (23, 7), (25, 19), (1, 1), (11, 17), (3, 14), (14, 10), (16, 22), (30, 19), (28, 7), (8, 23), (4, 5), (26, 19), (30, 14), (29, 9), (3, 20), (21, 4), (23, 25), (13, 1), (26, 23), (13, 19), (14, 13), (21, 30), (2, 16), (30, 1), (26, 6), (23, 6), (14, 1), (17, 29), (29, 3), (23, 4), (0, 27), (16, 27), (2, 24), (31, 19), (23, 13), (9, 8), (2, 17), (1, 27), (29, 25), (11, 24), (16, 28), (20, 4), (14, 25), (8, 4), (22, 13), (14, 26), (1, 8), (10, 20), (18, 29), (28, 5), (17, 13), (1, 25), (3, 8), (16, 2), (25, 4), (29, 26), (4, 3), (17, 14), (8, 17), (4, 29), (30, 25), (11, 22), (27, 30), (5, 20), (20, 24), (18, 4), (13, 7), (22, 17), (4, 15), (10, 10), (3, 3), (18, 3), (27, 27), (24, 25), (17, 7), (17, 12), (19, 27), (15, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (35, 6), (34, 32), (28, 0), (17, 0), (9, 28), (30, 16), (35, 7), (12, 36), (8, 25), (28, 9), (15, 27), (19, 35), (4, 0), (18, 4), (33, 18), (7, 4), (31, 31), (35, 37), (15, 30), (16, 9), (8, 29), (17, 32), (11, 16), (19, 15), (2, 34), (15, 3), (23, 27), (9, 18), (19, 2), (13, 0), (3, 8), (24, 12), (20, 13), (12, 17), (20, 16), (10, 35), (30, 4), (31, 0), (23, 23), (34, 21), (20, 31), (9, 27), (11, 17), (33, 8), (26, 34), (25, 6), (34, 6), (9, 1), (31, 19), (0, 30), (7, 11), (28, 7), (35, 15), (33, 20), (22, 21), (25, 19), (7, 38), (10, 23), (32, 12), (6, 34), (29, 17), (29, 23), (26, 16), (17, 36), (22, 12), (29, 36), (3, 17), (9, 11), (11, 3), (21, 33), (5, 18), (30, 0), (4, 26), (2, 31), (23, 6), (15, 36), (13, 5), (20, 12), (14, 37), (7, 27), (13, 22), (25, 14), (16, 3), (27, 25), (19, 18), (14, 32), (14, 16), (19, 28), (25, 16), (28, 2), (25, 18), (20, 9), (13, 27), (32, 18), (2, 27), (3, 32), (7, 20), (26, 24), (27, 13), (21, 14), (0, 34), (19, 1), (16, 35), (16, 12), (35, 4), (2, 17), (23, 11), (21, 15), (28, 4), (11, 14), (27, 16), (21, 29), (32, 19), (13, 33), (31, 7), (5, 31), (22, 30), (5, 3), (26, 6), (24, 18), (16, 21), (4, 24), (12, 28), (9, 38), (16, 19), (8, 33), (32, 5), (13, 4), (19, 10), (10, 25), (32, 35), (10, 24), (34, 28), (10, 12), (7, 25), (3, 33), (24, 7), (1, 33), (26, 5), (3, 28), (8, 2), (4, 31), (23, 13), (10, 30), (31, 27), (14, 35), (34, 7), (30, 25), (1, 7), (34, 37)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 31x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 9), (13, 34), (6, 20), (4, 15), (23, 3), (28, 15), (20, 29), (11, 10), (19, 26), (27, 23), (12, 31), (0, 19), (6, 8), (18, 35), (1, 2), (27, 17), (5, 34), (1, 19), (7, 8), (28, 27), (7, 10), (3, 33), (1, 21), (28, 29), (9, 22), (8, 15), (3, 17), (12, 9), (25, 14), (30, 6), (29, 18), (0, 2), (20, 24), (20, 35), (24, 28), (30, 8), (10, 28), (16, 1), (30, 7), (21, 35), (0, 1), (23, 12), (24, 17), (10, 17), (5, 28), (10, 24), (23, 10), (14, 6), (27, 19), (9, 21), (11, 7), (10, 31), (27, 5), (5, 3), (11, 24), (23, 0), (20, 8), (23, 2), (17, 35), (7, 4), (24, 10), (18, 20), (3, 28), (20, 34), (25, 36), (13, 10), (4, 20), (12, 36), (12, 19), (8, 18), (4, 27), (7, 30), (0, 10), (29, 30), (7, 33), (17, 22), (6, 4), (4, 25), (19, 34), (12, 17), (18, 15), (9, 26), (7, 27), (18, 25), (26, 22), (28, 16), (17, 27), (7, 22), (22, 26), (8, 12), (4, 3), (19, 30), (24, 31), (25, 15), (23, 34), (28, 18), (10, 34), (7, 31), (18, 27), (16, 17), (8, 17), (11, 20), (13, 25), (22, 7), (7, 5), (11, 15), (17, 19), (15, 10), (21, 7), (6, 29), (4, 24), (11, 2), (9, 31), (2, 6), (29, 16), (1, 3), (2, 26), (19, 6), (19, 24), (20, 31), (7, 14), (22, 1), (17, 32), (27, 28), (1, 18), (27, 20), (25, 30), (17, 34), (10, 25), (24, 9), (27, 33), (24, 24), (15, 3), (24, 25), (29, 0), (28, 25), (9, 19), (23, 26), (29, 22), (19, 9), (8, 7), (30, 17), (19, 15), (12, 16), (29, 9), (26, 25), (28, 13), (17, 6), (7, 35), (8, 8), (28, 21), (23, 1), (6, 11), (23, 27), (28, 9), (16, 23), (6, 30), (9, 25), (9, 14), (3, 22), (19, 3), (27, 29), (10, 4), (10, 26), (8, 6), (26, 23), (9, 13), (5, 14), (24, 35), (12, 15), (3, 35), (26, 3), (6, 3), (19, 13), (5, 35), (1, 31), (29, 28), (15, 35), (30, 23), (26, 1), (19, 27), (29, 23), (6, 17), (17, 13), (4, 6), (14, 22), (29, 25), (8, 36), (15, 17), (8, 13), (27, 9), (17, 25), (4, 31), (21, 5), (0, 12), (6, 5), (1, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 20), (21, 0), (35, 20), (12, 13), (28, 15), (36, 34), (14, 15), (3, 1), (32, 17), (12, 27), (3, 14), (3, 20), (0, 25), (28, 1), (2, 15), (10, 32), (11, 22), (28, 25), (32, 28), (2, 3), (10, 2), (14, 25), (20, 21), (9, 30), (4, 9), (14, 3), (29, 34), (21, 34), (33, 28), (15, 3), (13, 16), (1, 2), (5, 12), (25, 25), (36, 6), (30, 22), (17, 13), (23, 35), (20, 14), (20, 24), (32, 33), (23, 3), (10, 33), (30, 5), (17, 11), (10, 13), (18, 17), (15, 12), (33, 24), (36, 31), (5, 6), (23, 15), (24, 28), (17, 27), (30, 15), (34, 31), (33, 34), (24, 1), (1, 34), (10, 7), (22, 12), (19, 11), (12, 36), (33, 5), (14, 29), (12, 21), (18, 8), (20, 27), (32, 26), (32, 5), (32, 10), (37, 17), (4, 17), (17, 2), (24, 30), (21, 29), (23, 1), (12, 15), (17, 32), (0, 1), (24, 32), (31, 14), (3, 12), (6, 16), (29, 16), (4, 0), (18, 20), (14, 1), (14, 26), (19, 10), (28, 8), (25, 9), (16, 31), (1, 31), (15, 25), (9, 33), (29, 17), (27, 23), (4, 36), (24, 23), (14, 4), (32, 22), (3, 16), (7, 21), (18, 0), (7, 31), (15, 29), (32, 3), (16, 19), (25, 24), (30, 32), (7, 26), (11, 2), (11, 35), (7, 2), (35, 34), (5, 35), (11, 7), (18, 6), (31, 6), (14, 5), (16, 35), (34, 15), (3, 9), (23, 0), (6, 32), (37, 16), (25, 4), (22, 16), (15, 27), (32, 12), (30, 4), (18, 9), (31, 33), (17, 26), (12, 34), (30, 26), (10, 8), (9, 3), (24, 29), (5, 30), (28, 7), (5, 33), (17, 33), (21, 27), (29, 19), (27, 33), (35, 29), (22, 8), (19, 35), (4, 22), (16, 27), (24, 19), (18, 29), (32, 19), (3, 25), (30, 25), (4, 27), (2, 27), (30, 14), (27, 7), (24, 12), (8, 28), (28, 33), (21, 6), (21, 1), (34, 12), (30, 3), (13, 21), (3, 13), (29, 27), (7, 25), (9, 19), (4, 28), (17, 9), (30, 1), (18, 7), (11, 31), (34, 9), (32, 30), (4, 4), (23, 33), (14, 28), (8, 15), (7, 4), (24, 10), (21, 18), (0, 8), (8, 23), (22, 9), (16, 15), (10, 4), (17, 24), (26, 34), (13, 30), (6, 34), (32, 34), (8, 32), (2, 16), (31, 3), (30, 2), (13, 26), (32, 1), (36, 14), (37, 10), (3, 5), (27, 2), (31, 31), (1, 30), (7, 6), (20, 20), (21, 13), (20, 15), (19, 0), (14, 6), (37, 29), (31, 2), (14, 11), (3, 19), (16, 25), (1, 36), (2, 30), (22, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 38x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 7), (19, 5), (20, 27), (17, 13), (29, 4), (4, 21), (17, 6), (11, 22), (3, 27), (29, 14), (7, 24), (37, 13), (17, 22), (4, 23), (17, 8), (22, 17), (16, 3), (14, 32), (26, 21), (37, 23), (26, 11), (11, 27), (19, 8), (7, 1), (12, 4), (29, 10), (15, 4), (4, 18), (15, 21), (1, 2), (6, 8), (7, 26), (31, 1), (31, 34), (36, 10), (15, 17), (20, 3), (32, 27), (17, 32), (17, 26), (1, 18), (21, 6), (20, 17), (5, 16), (1, 13), (3, 15), (1, 5), (24, 12), (6, 17), (6, 12), (2, 10), (35, 11), (19, 23), (32, 29), (27, 0), (15, 25), (4, 22), (35, 31), (20, 0), (3, 30), (12, 6), (28, 28), (0, 12), (28, 27), (8, 5), (19, 13), (11, 25), (7, 19), (27, 24), (15, 29), (15, 13), (31, 0), (2, 18), (27, 32), (7, 17), (32, 2), (23, 14), (32, 1), (28, 20), (8, 14), (6, 9), (29, 30), (5, 33), (35, 5), (13, 10), (33, 25), (7, 21), (30, 20), (1, 4), (23, 11), (35, 9), (6, 23), (3, 5), (32, 31), (28, 6), (15, 19), (33, 3), (15, 23), (19, 30), (14, 1), (12, 16), (31, 22), (7, 8), (31, 2), (8, 10), (12, 15), (6, 25), (27, 11), (19, 27), (31, 5), (7, 2), (24, 15), (19, 29), (25, 3), (9, 23), (32, 24), (1, 32), (18, 12), (27, 16), (17, 7), (30, 32), (1, 0), (24, 29), (1, 10), (11, 8), (4, 24), (10, 8), (21, 14), (27, 15), (3, 8), (33, 12), (8, 27), (27, 21), (23, 6), (22, 26), (22, 20), (23, 10), (24, 33), (7, 30), (9, 4), (31, 15), (13, 5), (14, 8), (17, 20), (5, 31), (12, 3), (12, 5), (1, 33), (13, 14), (25, 26), (25, 6), (9, 26), (12, 8), (34, 22), (33, 6), (36, 3), (8, 30), (37, 30), (5, 32), (30, 34), (15, 5), (0, 11), (13, 22), (22, 1), (10, 20), (27, 3), (4, 5), (26, 7), (30, 26), (4, 6), (12, 19), (12, 18), (19, 12), (2, 28), (9, 16), (22, 34), (21, 21), (14, 34), (16, 26), (16, 4), (28, 19), (26, 30), (14, 19), (9, 18), (9, 5), (31, 31), (25, 34), (9, 10), (37, 25), (17, 15), (8, 19), (32, 28), (18, 23), (33, 30), (16, 28), (17, 29), (28, 29), (17, 31), (22, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 4), (25, 20), (29, 20), (29, 12), (19, 3), (8, 15), (15, 12), (18, 2), (23, 4), (23, 10), (11, 20), (21, 25), (2, 15), (27, 18), (4, 27), (5, 4), (1, 10), (4, 24), (9, 10), (30, 18), (8, 12), (5, 14), (12, 8), (11, 7), (22, 7), (24, 20), (4, 18), (3, 17), (11, 27), (21, 13), (25, 7), (6, 2), (13, 23), (21, 3), (4, 21), (0, 16), (16, 3), (6, 10), (6, 8), (16, 19), (3, 8), (24, 6), (24, 22), (2, 4), (10, 15), (26, 13), (10, 13), (28, 24), (18, 23), (22, 24), (1, 9), (18, 4), (5, 0), (6, 17), (27, 27), (6, 5), (10, 9), (2, 25), (28, 3), (3, 20), (16, 17), (4, 17), (2, 22), (30, 17), (11, 19), (10, 10), (15, 6), (22, 9), (24, 28), (28, 0), (3, 13), (25, 19), (20, 27), (9, 19), (26, 18), (12, 1), (1, 16), (17, 0), (2, 12), (8, 19), (28, 16), (11, 18), (19, 22), (18, 17), (15, 14), (14, 18), (3, 23), (17, 28), (22, 1), (12, 12), (24, 12), (7, 9), (21, 4), (4, 19), (18, 19), (21, 15), (5, 9), (21, 27), (27, 10), (2, 19), (12, 7), (16, 15), (27, 11), (11, 29), (9, 5), (23, 18), (17, 26), (15, 7), (23, 11), (11, 17), (11, 16), (9, 9), (25, 18), (12, 25), (5, 15), (19, 2), (3, 1), (2, 18), (3, 12), (22, 14), (2, 0), (0, 14), (12, 29), (27, 21), (9, 18), (19, 23), (27, 1), (24, 5), (9, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 3), (15, 28), (23, 2), (15, 17), (34, 7), (3, 7), (34, 24), (18, 15), (13, 18), (29, 1), (24, 16), (25, 12), (12, 22), (21, 24), (31, 2), (31, 14), (6, 21), (18, 16), (21, 10), (25, 2), (33, 16), (7, 23), (22, 26), (10, 9), (22, 20), (22, 25), (23, 26), (23, 8), (30, 11), (11, 28), (25, 21), (4, 19), (24, 8), (3, 21), (1, 21), (0, 26), (18, 10), (10, 2), (19, 27), (29, 6), (29, 5), (11, 4), (18, 28), (33, 1), (14, 1), (1, 19), (9, 30), (31, 13), (6, 7), (22, 23), (25, 7), (26, 3), (14, 0), (3, 25), (22, 12), (13, 15), (7, 18), (21, 1), (13, 29), (1, 13), (30, 22), (32, 20), (19, 21), (26, 23), (20, 20), (7, 20), (24, 17), (33, 25), (18, 30), (13, 19), (3, 1), (20, 18), (25, 10), (8, 29), (21, 22), (30, 3), (17, 4), (15, 27), (27, 14), (22, 6), (29, 12), (32, 11), (20, 13), (33, 7), (6, 20), (33, 23), (5, 9), (19, 3), (31, 4), (7, 27), (11, 5), (4, 23), (24, 29), (5, 4), (32, 6), (20, 10), (12, 19), (29, 16), (3, 4), (20, 8), (31, 19), (9, 25), (28, 0), (29, 18), (16, 23), (13, 30), (18, 24), (7, 5), (5, 10), (0, 21), (14, 30), (8, 13), (7, 0), (22, 5), (4, 14), (23, 4), (24, 28), (12, 30), (26, 0), (33, 19), (16, 29), (4, 7), (2, 2), (13, 22), (24, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 27), (3, 4), (30, 6), (26, 21), (2, 7), (11, 27), (2, 3), (11, 32), (22, 16), (31, 30), (1, 25), (11, 5), (0, 34), (0, 7), (31, 18), (3, 31), (10, 7), (6, 17), (27, 23), (33, 34), (17, 18), (32, 34), (6, 13), (25, 33), (7, 9), (2, 15), (34, 15), (14, 21), (12, 11), (17, 20), (21, 23), (10, 0), (24, 23), (5, 34), (12, 7), (12, 29), (23, 0), (3, 18), (9, 8), (14, 22), (8, 18), (34, 11), (15, 34), (30, 17), (7, 1), (24, 36), (22, 1), (12, 9), (33, 18), (5, 24), (27, 12), (13, 7), (4, 0), (27, 22), (33, 32), (23, 31), (19, 8), (31, 34), (19, 30), (19, 21), (27, 15), (1, 23), (26, 36), (6, 35), (19, 15), (28, 26), (26, 3), (29, 20), (13, 6), (16, 6), (11, 35), (24, 15), (31, 19), (1, 29), (17, 28), (1, 9), (28, 33), (12, 25), (24, 10), (27, 21), (29, 7), (16, 9), (5, 32), (28, 5), (22, 2), (6, 23), (11, 29), (8, 19), (6, 15), (33, 30), (0, 32), (2, 18), (2, 25), (29, 2), (3, 13), (17, 7), (25, 30), (4, 25), (13, 31), (34, 36), (23, 14), (32, 28), (18, 31), (2, 27), (9, 23), (10, 22), (25, 34), (14, 4), (8, 0), (19, 6), (10, 24), (21, 27), (25, 23), (29, 22), (2, 26), (22, 14), (9, 31), (8, 25), (32, 26), (13, 11), (17, 12), (10, 23), (30, 22), (6, 18), (3, 20), (25, 22), (10, 29), (33, 16), (20, 3), (20, 18), (27, 13), (8, 30), (30, 33), (22, 20), (26, 14), (25, 6), (23, 2), (17, 9), (33, 3), (22, 28), (11, 28), (0, 36), (19, 36), (14, 35), (25, 18), (1, 11), (21, 32), (18, 2), (32, 16), (6, 12), (33, 23), (7, 35), (22, 9), (4, 16), (33, 19), (27, 37), (28, 36), (12, 6), (33, 25), (5, 12), (0, 37), (3, 9), (27, 33), (18, 4), (25, 3), (7, 31), (13, 5), (29, 6), (32, 30), (15, 1), (19, 7), (10, 28), (14, 15), (28, 15), (22, 29), (29, 18), (24, 37), (0, 35), (0, 8), (11, 7), (29, 14), (7, 3), (22, 13), (5, 22), (8, 24), (15, 29), (33, 14), (26, 5), (10, 17), (24, 6), (15, 7), (24, 7), (30, 23), (1, 15), (18, 35), (21, 35), (18, 16), (9, 6), (8, 35), (13, 16), (12, 26), (8, 33), (27, 27), (28, 20), (34, 24), (19, 12), (27, 16), (12, 3), (17, 31), (14, 16), (20, 24), (32, 31), (33, 17), (13, 28), (26, 13), (34, 23), (9, 16), (5, 2), (22, 4), (14, 9), (34, 8), (10, 11), (0, 29), (2, 37), (17, 5), (4, 35), (26, 18), (7, 29), (9, 35), (11, 21), (5, 25), (30, 3), (5, 9), (14, 29), (17, 34), (14, 8), (18, 3), (20, 14), (4, 5), (17, 17), (31, 24), (34, 32), (19, 0), (9, 2), (26, 23), (25, 4), (2, 23), (11, 0), (15, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 18), (25, 33), (10, 11), (20, 16), (17, 10), (24, 17), (18, 12), (27, 10), (32, 28), (26, 16), (4, 11), (30, 17), (12, 7), (20, 17), (30, 2), (37, 15), (5, 3), (38, 13), (1, 33), (12, 32), (33, 19), (33, 26), (5, 0), (26, 9), (29, 27), (37, 33), (24, 24), (37, 7), (1, 19), (10, 8), (13, 12), (35, 15), (1, 29), (9, 0), (1, 23), (7, 1), (7, 10), (34, 8), (25, 1), (8, 33), (10, 31), (21, 21), (38, 18), (22, 33), (21, 2), (37, 11), (15, 0), (12, 20), (0, 26), (10, 4), (37, 26), (12, 9), (4, 28), (27, 15), (19, 18), (2, 25), (15, 27), (17, 15), (9, 16), (2, 7), (3, 33), (16, 1), (29, 3), (12, 2), (32, 31), (25, 32), (33, 29), (25, 11), (30, 32), (22, 4), (36, 5), (34, 31), (23, 25), (33, 25), (0, 30), (35, 23), (18, 11), (14, 6), (38, 7), (18, 30), (27, 27), (8, 12), (35, 2), (14, 26), (38, 28), (19, 22), (11, 24), (31, 3), (3, 28), (27, 1), (0, 1), (2, 13), (27, 22), (25, 24), (21, 27), (29, 6), (26, 4), (23, 27), (32, 9), (33, 28), (18, 24), (18, 17), (0, 9), (32, 13), (22, 29), (27, 30), (0, 12), (1, 9), (5, 22), (27, 18), (32, 12), (13, 33), (11, 30), (11, 13), (6, 13), (9, 22), (0, 28), (11, 23), (7, 11), (4, 23), (8, 10), (29, 28), (28, 0), (23, 3), (8, 27), (33, 8), (12, 33), (29, 24), (23, 1), (28, 2), (21, 15), (31, 7), (0, 13), (11, 22), (33, 1), (25, 10), (0, 17), (27, 0), (0, 3), (8, 30), (31, 12), (15, 6), (32, 24), (30, 7), (23, 0), (4, 10), (0, 24), (37, 13), (26, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 7), (9, 30), (23, 8), (7, 31), (21, 19), (34, 6), (27, 23), (16, 29), (22, 32), (34, 7), (15, 8), (34, 18), (14, 33), (17, 33), (6, 20), (26, 12), (20, 26), (36, 26), (35, 0), (18, 26), (25, 23), (35, 20), (5, 31), (35, 29), (5, 9), (8, 20), (17, 31), (7, 24), (31, 27), (35, 17), (35, 5), (11, 34), (9, 8), (22, 20), (33, 6), (19, 25), (17, 4), (20, 29), (24, 4), (5, 20), (12, 33), (22, 29), (32, 3), (2, 32), (11, 25), (22, 5), (14, 23), (16, 31), (10, 25), (25, 31), (24, 21), (19, 5), (27, 28), (33, 24), (34, 26), (30, 28), (23, 9), (23, 2), (16, 30), (17, 20), (6, 22), (30, 6), (4, 18), (28, 2), (11, 28), (28, 8), (17, 29), (5, 29), (2, 27), (15, 22), (26, 33), (9, 31), (0, 31), (34, 10), (3, 4), (34, 14), (18, 2), (21, 32), (31, 12), (10, 24), (0, 16), (18, 8), (16, 1), (9, 25), (5, 13), (16, 6), (23, 5), (1, 15), (1, 32), (12, 14), (3, 21), (14, 11), (0, 20), (23, 19), (8, 3), (10, 28), (11, 32), (24, 30), (15, 31), (3, 17), (3, 3), (29, 7), (12, 15), (15, 5), (25, 12), (12, 32), (15, 30), (34, 2), (1, 28), (12, 13), (27, 24), (36, 5), (2, 16), (3, 11), (35, 32), (28, 29), (1, 10), (35, 24), (20, 33), (22, 30), (26, 17), (3, 31), (31, 28), (35, 27), (23, 12), (28, 25), (15, 23), (1, 7), (32, 11), (6, 8), (14, 13), (11, 12), (14, 32), (17, 3), (11, 27), (13, 29), (12, 17), (14, 15), (15, 21), (35, 34), (28, 18), (21, 6), (28, 3), (5, 23), (24, 24), (15, 27), (22, 13), (15, 15), (8, 5), (34, 22), (25, 28), (20, 1), (5, 25), (30, 34), (0, 30), (18, 22), (31, 1), (27, 22), (3, 14), (2, 3), (19, 2), (30, 30), (3, 26), (30, 2), (5, 27), (6, 23), (4, 22), (12, 3), (25, 4), (24, 14), (20, 6), (16, 2), (1, 2), (2, 25), (18, 1), (13, 11), (24, 26), (33, 34), (3, 20), (6, 24), (4, 28), (34, 28), (23, 22), (24, 27), (3, 5), (35, 4), (29, 26), (9, 10), (10, 7), (13, 25), (12, 30), (16, 27), (13, 28), (28, 30), (13, 13), (30, 11), (31, 6), (4, 15), (28, 14), (9, 13), (4, 0), (4, 23), (27, 15), (36, 19), (25, 21), (11, 5), (9, 5), (6, 18), (28, 11), (34, 30), (0, 13), (27, 25), (30, 10), (13, 4), (23, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 6), (24, 16), (8, 8), (12, 8), (23, 16), (3, 2), (30, 32), (25, 6), (20, 31), (26, 16), (1, 16), (3, 16), (10, 12), (29, 11), (16, 24), (4, 10), (18, 5), (19, 35), (25, 19), (24, 34), (27, 14), (7, 12), (2, 34), (15, 29), (10, 29), (2, 15), (3, 28), (30, 35), (11, 12), (9, 14), (31, 21), (13, 19), (6, 6), (11, 25), (4, 31), (30, 18), (29, 25), (14, 25), (19, 17), (6, 14), (19, 25), (19, 21), (13, 15), (19, 16), (25, 2), (28, 1), (12, 1), (16, 6), (14, 19), (9, 9), (12, 27), (30, 7), (4, 11), (9, 7), (17, 4), (28, 8), (6, 4), (19, 6), (4, 21), (31, 4), (14, 24), (12, 19), (12, 14), (20, 29), (21, 35), (0, 30), (27, 22), (5, 34), (10, 28), (1, 0), (27, 34), (31, 34), (24, 23), (23, 23), (25, 25), (10, 5), (11, 6), (30, 12), (9, 20), (11, 30), (14, 21), (23, 21), (7, 26), (7, 20), (20, 25), (3, 20), (0, 12), (2, 14), (14, 0), (32, 0), (3, 26), (12, 9), (7, 30), (4, 33), (5, 18), (5, 3), (27, 24), (18, 11), (21, 3), (19, 29), (23, 34), (0, 25), (4, 6), (2, 31), (8, 0), (5, 29), (22, 15), (16, 13), (17, 21), (22, 7), (10, 14), (11, 3), (29, 34), (3, 32), (18, 30), (13, 17), (24, 3), (26, 20), (32, 29), (5, 1), (9, 33), (17, 3), (15, 21), (9, 3), (4, 29), (27, 7), (23, 36), (32, 22), (21, 17), (24, 18), (17, 11), (2, 17), (1, 26), (30, 15), (14, 13), (10, 34), (14, 36), (26, 11), (10, 18), (20, 0), (5, 22), (25, 18), (0, 20), (7, 17), (13, 0), (31, 36), (21, 26), (22, 34), (23, 20), (19, 4), (16, 3), (9, 1), (18, 24), (8, 21), (16, 7), (17, 5), (22, 13), (25, 4), (7, 8), (5, 19), (15, 28), (32, 6), (30, 31), (16, 8), (15, 33), (6, 21), (25, 30), (9, 36), (24, 2), (5, 25), (22, 32), (17, 31), (19, 10), (1, 9), (2, 21), (9, 28), (9, 2), (25, 14), (13, 21), (29, 12), (21, 22), (24, 7), (10, 7), (8, 1), (18, 18), (0, 28), (11, 31), (21, 28), (28, 26), (16, 14), (17, 0), (32, 14), (23, 1), (23, 10), (16, 5), (26, 18), (12, 7), (28, 25), (4, 34), (27, 36), (10, 1), (16, 23), (5, 33), (28, 28), (4, 20), (32, 31), (26, 21), (17, 16), (5, 7), (27, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 33x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 23), (15, 21), (27, 5), (22, 13), (4, 30), (16, 24), (11, 21), (23, 19), (24, 30), (30, 8), (23, 12), (30, 5), (11, 28), (25, 19), (29, 20), (6, 1), (15, 26), (4, 10), (12, 3), (0, 5), (19, 24), (8, 29), (3, 10), (22, 28), (9, 4), (18, 4), (12, 9), (28, 27), (1, 16), (12, 2), (14, 27), (24, 25), (23, 5), (29, 27), (19, 19), (18, 16), (0, 27), (24, 21), (9, 25), (15, 1), (20, 0), (21, 8), (17, 30), (20, 11), (27, 9), (29, 6), (2, 24), (20, 3), (31, 13), (4, 14), (2, 3), (22, 22), (2, 27), (27, 19), (16, 25), (12, 18), (19, 9), (4, 7), (12, 22), (24, 10), (21, 6), (3, 1), (27, 24), (19, 30), (31, 0), (30, 7), (20, 12), (7, 19), (10, 22), (19, 21), (10, 19), (28, 18), (28, 8), (25, 5), (26, 10), (9, 20), (2, 8), (2, 5), (0, 2), (3, 11), (26, 30), (13, 11), (12, 23), (18, 0), (14, 19), (21, 26), (5, 20), (12, 5), (11, 4), (14, 17), (4, 2), (22, 30), (8, 17), (25, 20), (29, 11), (6, 20), (17, 18), (10, 1), (9, 17), (10, 27), (6, 24), (18, 2), (14, 22), (7, 8), (9, 2), (28, 6), (14, 30), (29, 4), (0, 20), (2, 17), (25, 28), (12, 17), (11, 29), (32, 25), (3, 12), (21, 9), (15, 5), (26, 26), (14, 20), (11, 23), (11, 1), (16, 10), (10, 2), (3, 25), (24, 20), (4, 24), (7, 15), (26, 4), (1, 21), (3, 6), (31, 28), (32, 29), (4, 17), (8, 23), (3, 0), (28, 30), (17, 28), (31, 21), (29, 0), (28, 3), (9, 7), (10, 4), (2, 1), (4, 12), (29, 29), (32, 28), (11, 16), (8, 22), (17, 21), (1, 15), (26, 28), (21, 12), (27, 23), (31, 11), (32, 6), (8, 4), (32, 12), (13, 21), (30, 14), (25, 24), (2, 2), (15, 28), (28, 21), (18, 27), (22, 5), (1, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 29), (19, 18), (27, 5), (22, 17), (4, 33), (25, 6), (14, 23), (18, 23), (4, 34), (13, 14), (18, 5), (11, 11), (21, 17), (32, 17), (11, 3), (24, 8), (22, 29), (26, 23), (4, 8), (10, 22), (12, 6), (17, 10), (17, 8), (28, 34), (12, 37), (1, 16), (29, 36), (1, 5), (6, 5), (11, 34), (2, 21), (22, 2), (12, 30), (0, 19), (20, 12), (21, 2), (11, 35), (14, 29), (33, 0), (8, 23), (30, 32), (12, 23), (29, 22), (25, 28), (22, 37), (25, 30), (10, 17), (3, 30), (21, 14), (17, 36), (21, 11), (15, 36), (14, 34), (4, 15), (7, 6), (1, 10), (33, 4), (32, 16), (28, 7), (3, 0), (17, 17), (9, 19), (25, 3), (2, 19), (15, 0), (21, 0), (4, 18), (7, 7), (17, 4), (26, 22), (1, 27), (29, 24), (20, 16), (23, 35), (17, 24), (13, 36), (8, 21), (8, 19), (7, 36), (23, 19), (11, 2), (16, 11), (20, 9), (14, 30), (19, 33), (33, 3), (33, 1), (3, 22), (18, 12), (29, 3), (2, 32), (23, 13), (13, 10), (8, 12), (26, 7), (22, 36), (32, 8), (1, 36), (17, 22), (0, 11), (24, 27), (30, 29), (4, 35), (24, 36), (23, 20), (4, 3), (9, 20), (25, 23), (2, 26), (0, 33), (33, 9), (8, 36), (31, 28), (16, 21), (33, 26), (32, 23), (18, 19), (8, 31), (25, 31), (10, 36), (29, 7), (23, 1), (33, 33), (29, 10), (12, 29), (26, 33), (22, 8), (25, 37), (28, 11), (7, 16), (20, 27), (15, 35), (28, 31), (24, 31), (28, 10), (2, 28), (23, 6), (1, 34), (11, 14), (30, 27), (30, 20), (8, 22), (13, 6), (26, 15), (28, 17), (10, 24), (29, 21), (33, 22), (2, 23), (32, 6), (31, 4), (20, 24), (25, 36), (22, 18), (18, 2), (18, 35)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 8), (0, 6), (8, 19), (32, 16), (18, 6), (7, 27), (1, 5), (23, 25), (1, 25), (7, 10), (30, 11), (7, 24), (16, 12), (15, 22), (1, 17), (35, 0), (10, 6), (28, 34), (20, 31), (6, 9), (27, 33), (24, 25), (11, 19), (10, 30), (1, 35), (9, 12), (21, 18), (32, 6), (14, 1), (30, 9), (27, 36), (15, 27), (16, 6), (21, 31), (28, 4), (9, 22), (17, 6), (19, 9), (35, 11), (18, 7), (6, 6), (14, 34), (25, 21), (0, 18), (13, 6), (26, 10), (1, 4), (22, 10), (24, 5), (7, 3), (29, 21), (33, 12), (20, 21), (3, 1), (28, 25), (27, 1), (4, 33), (14, 22), (21, 19), (24, 36), (14, 36), (12, 17), (8, 7), (10, 14), (1, 28), (21, 14), (21, 35), (10, 1), (16, 20), (10, 13), (22, 13), (15, 29), (7, 23), (23, 0), (10, 7), (25, 14), (18, 20), (6, 18), (27, 3), (21, 5), (34, 3), (7, 30), (29, 31), (10, 25), (20, 22), (29, 17), (33, 3), (5, 31), (28, 2), (34, 6), (32, 33), (8, 12), (28, 7), (6, 3), (4, 20), (25, 20), (29, 20), (3, 27), (23, 6), (17, 31), (5, 0), (34, 4), (32, 37), (29, 30), (9, 23), (5, 32), (34, 19), (13, 8), (10, 20), (12, 6), (29, 1), (4, 12), (5, 37), (0, 9), (3, 28), (26, 32), (20, 4), (27, 22), (6, 30), (32, 8), (29, 24), (5, 4), (21, 26), (17, 0), (23, 4), (27, 18), (3, 5), (6, 7), (30, 23), (2, 11), (35, 36), (12, 20), (13, 18), (18, 21), (24, 15), (7, 20), (3, 31), (19, 36), (9, 2), (1, 11), (35, 28), (35, 29), (14, 16), (15, 33), (24, 32), (34, 17), (15, 23), (19, 5), (25, 18), (29, 18), (6, 32), (24, 6), (9, 32), (2, 2), (21, 16), (19, 4), (0, 37), (30, 28), (18, 23), (29, 33), (5, 23), (1, 15), (5, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 26), (34, 27), (15, 26), (9, 14), (11, 25), (25, 3), (23, 0), (9, 3), (34, 6), (1, 26), (34, 12), (14, 22), (12, 10), (11, 32), (31, 1), (15, 32), (13, 32), (14, 28), (24, 4), (26, 3), (34, 4), (35, 4), (15, 0), (35, 11), (18, 8), (36, 20), (8, 1), (25, 28), (18, 19), (9, 17), (15, 15), (25, 7), (24, 2), (10, 11), (5, 19), (26, 32), (12, 29), (30, 12), (7, 2), (37, 11), (22, 13), (26, 8), (33, 32), (22, 31), (6, 23), (27, 25), (32, 23), (7, 30), (0, 11), (19, 15), (32, 17), (1, 1), (34, 30), (18, 1), (23, 3), (32, 2), (13, 4), (33, 27), (29, 3), (38, 30), (16, 25), (19, 4), (35, 10), (20, 22), (20, 9), (21, 2), (36, 17), (38, 5), (6, 31), (36, 15), (27, 32), (14, 10), (25, 25), (12, 25), (24, 19), (14, 1), (5, 13), (23, 1), (13, 27), (18, 11), (5, 17), (20, 1), (14, 29), (19, 30), (6, 26), (23, 11), (37, 0), (31, 0), (4, 30), (26, 2), (30, 25), (37, 29), (22, 3), (14, 9), (8, 8), (34, 14), (5, 22), (2, 13), (26, 26), (10, 16), (11, 28), (12, 12), (11, 26), (21, 18), (34, 17), (1, 13), (14, 11), (11, 3), (15, 29), (13, 20), (14, 13), (35, 8), (18, 0), (35, 26), (31, 2), (7, 3), (20, 10), (31, 25), (36, 2), (1, 3), (1, 10), (33, 29), (23, 22), (38, 29), (27, 0), (3, 2), (0, 13), (26, 14), (8, 19), (31, 12), (16, 16), (23, 10), (11, 19), (23, 23), (30, 17), (38, 21), (12, 27), (25, 26), (5, 3), (29, 15), (26, 23), (19, 2), (33, 7), (13, 16), (21, 1), (23, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 24), (24, 25), (9, 27), (9, 16), (15, 2), (18, 9), (3, 17), (19, 11), (21, 30), (29, 9), (13, 16), (30, 25), (22, 31), (4, 26), (10, 14), (30, 30), (5, 3), (26, 28), (0, 21), (19, 22), (28, 1), (5, 17), (14, 11), (8, 27), (7, 12), (24, 4), (4, 31), (6, 3), (12, 27), (25, 11), (30, 17), (9, 11), (14, 7), (3, 28), (14, 21), (27, 25), (17, 17), (8, 25), (4, 10), (1, 14), (20, 1), (2, 3), (3, 21), (2, 24), (19, 28), (11, 5), (24, 27), (4, 13), (26, 30), (9, 13), (25, 31), (19, 26), (9, 29), (5, 2), (28, 28), (20, 26), (18, 25), (6, 26), (7, 25), (4, 4), (15, 9), (5, 11), (26, 6), (3, 1), (16, 8), (19, 8), (29, 17), (15, 10), (11, 6), (15, 11), (3, 14), (28, 26), (15, 28), (15, 26), (28, 14), (21, 10), (16, 4), (18, 3), (0, 2), (2, 2), (6, 9), (27, 27), (4, 0), (5, 15), (14, 30), (8, 3), (20, 10), (19, 12), (18, 22), (3, 23), (0, 28), (4, 11), (0, 7), (8, 28), (5, 12), (25, 27), (15, 6), (28, 10), (29, 26), (26, 4), (26, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (38, 32), (8, 20), (15, 18), (2, 5), (1, 11), (11, 28), (10, 5), (0, 34), (13, 3), (10, 1), (8, 21), (5, 37), (20, 19), (22, 3), (27, 5), (29, 10), (15, 12), (29, 24), (5, 21), (24, 9), (11, 0), (33, 9), (9, 33), (33, 21), (36, 36), (19, 15), (8, 13), (4, 8), (19, 25), (15, 14), (10, 31), (29, 35), (21, 8), (22, 38), (11, 22), (26, 38), (36, 23), (16, 3), (17, 13), (14, 13), (20, 36), (1, 35), (4, 29), (25, 10), (22, 2), (4, 0), (6, 2), (3, 21), (36, 31), (23, 9), (37, 18), (30, 13), (4, 2), (37, 12), (16, 5), (37, 28), (3, 26), (35, 9), (5, 29), (4, 7), (31, 36), (7, 32), (37, 32), (11, 21), (19, 26), (28, 16), (13, 20), (20, 33), (12, 38), (23, 22), (26, 9), (32, 10), (7, 24), (12, 24), (27, 24), (28, 8), (7, 33), (10, 22), (22, 28), (23, 15), (6, 6), (9, 26), (9, 9), (10, 20), (28, 37), (27, 31), (14, 2), (18, 38), (36, 10), (26, 8), (15, 7), (35, 12), (21, 23), (30, 22), (2, 18), (13, 15), (34, 26), (35, 33), (8, 18), (1, 38), (1, 37), (29, 8), (13, 7), (33, 2), (20, 20), (6, 14), (38, 13), (29, 7), (17, 23), (21, 0), (22, 31), (35, 37), (29, 37), (6, 20), (4, 4), (1, 0), (38, 6), (16, 13), (3, 5), (24, 22), (21, 36), (7, 5), (26, 20), (29, 23), (29, 9), (18, 22), (22, 27), (13, 4), (10, 27), (35, 6), (8, 4), (26, 14), (22, 19), (3, 34), (28, 14), (7, 38), (32, 25), (34, 19), (5, 8), (0, 27), (29, 2), (23, 33), (34, 32), (33, 6), (1, 33), (2, 35), (35, 4), (14, 10), (1, 19), (24, 13), (20, 0), (16, 8), (15, 19), (2, 33), (38, 24), (32, 24), (16, 6), (0, 23), (0, 13), (23, 23), (37, 3), (7, 7), (2, 25), (8, 35), (37, 34), (33, 0), (15, 15), (24, 2), (17, 11), (32, 27), (27, 6), (36, 19), (1, 29), (33, 30), (22, 23), (33, 17), (38, 2), (24, 14), (25, 11), (31, 6), (13, 33), (24, 32), (30, 17), (33, 22), (9, 1), (25, 14), (29, 18), (32, 14), (9, 37), (17, 9), (31, 34), (16, 21), (28, 11), (18, 14), (9, 22), (9, 12), (14, 31), (19, 5), (18, 21), (14, 32), (23, 29), (26, 23), (31, 15), (26, 32), (2, 28), (5, 17), (27, 7), (17, 3), (27, 35), (23, 10), (7, 13), (24, 6), (28, 9), (16, 11), (23, 37), (2, 24), (38, 12), (11, 6), (12, 34), (27, 16), (17, 18), (29, 1), (21, 6), (3, 32), (20, 12), (23, 17), (36, 26), (19, 21), (0, 31), (20, 10), (33, 18), (1, 14), (20, 30), (26, 7), (36, 24), (24, 21), (9, 35), (32, 8), (14, 1), (27, 37), (27, 14), (12, 20), (28, 1), (13, 13), (24, 11), (25, 22), (29, 20), (13, 11), (9, 32), (17, 8), (0, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 34x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 6), (10, 9), (15, 18), (4, 11), (21, 4), (18, 27), (29, 31), (31, 25), (28, 22), (0, 21), (17, 13), (7, 14), (15, 12), (31, 8), (21, 24), (22, 3), (18, 21), (22, 16), (1, 10), (6, 24), (8, 20), (15, 33), (22, 2), (32, 20), (1, 19), (13, 0), (6, 32), (30, 10), (16, 21), (2, 24), (4, 21), (26, 0), (2, 5), (21, 7), (10, 22), (18, 30), (14, 33), (31, 16), (25, 25), (0, 16), (21, 34), (13, 18), (7, 3), (5, 25), (23, 1), (18, 34), (5, 17), (13, 8), (20, 0), (5, 3), (17, 11), (2, 2), (11, 13), (14, 17), (5, 21), (7, 0), (29, 18), (19, 25), (1, 30), (8, 26), (8, 3), (17, 24), (5, 22), (1, 31), (1, 27), (17, 18), (15, 6), (32, 28), (1, 9), (14, 12), (3, 15), (26, 28), (19, 29), (0, 6), (24, 4), (3, 32), (32, 2), (31, 18), (26, 30), (6, 17), (20, 33), (22, 25), (15, 10), (0, 8), (4, 7), (25, 4), (4, 25), (22, 13), (25, 21), (20, 1), (33, 18), (8, 33), (2, 32), (18, 15), (14, 13), (10, 11), (3, 16), (7, 12), (20, 24), (2, 23), (10, 16), (10, 3), (25, 13), (11, 2), (12, 13), (11, 23), (10, 7), (26, 18), (15, 2), (6, 6), (32, 26), (23, 25), (5, 33), (2, 21), (29, 14), (24, 24), (24, 5), (32, 6), (10, 30), (14, 3), (21, 13), (10, 19), (32, 31), (5, 29), (32, 9), (21, 3), (18, 31), (28, 34), (31, 3), (0, 15), (20, 13), (27, 10), (24, 1), (31, 13), (17, 32), (29, 11), (6, 2), (8, 24), (21, 27), (25, 16), (20, 26), (14, 22), (33, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 9), (22, 2), (5, 23), (23, 1), (15, 0), (8, 12), (26, 13), (19, 28), (10, 15), (22, 0), (27, 7), (10, 12), (4, 29), (11, 10), (18, 15), (16, 14), (10, 0), (16, 26), (8, 8), (12, 12), (16, 29), (6, 15), (12, 2), (10, 2), (29, 5), (1, 3), (27, 11), (21, 15), (3, 15), (9, 27), (5, 28), (10, 18), (21, 13), (3, 5), (11, 23), (23, 21), (30, 15), (8, 13), (6, 16), (23, 11), (30, 8), (11, 22), (19, 12), (22, 6), (21, 12), (21, 28), (10, 9), (24, 6), (1, 26), (13, 10), (24, 18), (13, 13), (19, 6), (13, 27), (8, 21), (15, 6), (18, 16), (25, 15), (18, 7), (14, 3), (25, 24), (5, 19), (24, 1), (10, 10), (0, 2), (0, 1), (9, 5), (0, 16), (29, 20), (23, 8), (21, 29), (13, 19), (15, 19), (3, 19), (28, 19), (3, 28), (29, 2), (30, 26), (3, 12), (23, 5), (16, 6), (19, 21), (1, 24), (28, 3), (5, 14), (18, 27), (19, 8), (13, 9), (0, 8), (9, 11), (8, 11), (26, 21), (14, 21), (20, 5), (23, 23), (20, 13), (15, 7), (24, 3), (9, 6), (24, 22), (13, 26), (19, 7), (17, 21), (13, 20), (17, 4), (0, 18), (7, 8), (19, 1), (22, 7), (23, 15), (3, 4), (6, 28), (8, 20), (28, 9), (18, 22), (11, 26), (2, 29), (6, 7), (18, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 19), (31, 35), (32, 37), (10, 6), (2, 20), (28, 12), (25, 7), (31, 23), (20, 13), (27, 19), (32, 16), (10, 17), (14, 13), (9, 30), (33, 28), (17, 20), (4, 3), (12, 25), (7, 26), (14, 17), (1, 31), (1, 12), (12, 33), (9, 34), (6, 21), (25, 20), (28, 10), (8, 15), (11, 9), (0, 9), (12, 8), (24, 7), (33, 16), (8, 5), (2, 8), (24, 28), (20, 20), (11, 18), (10, 35), (16, 25), (26, 20), (1, 21), (19, 36), (23, 12), (11, 31), (25, 6), (16, 3), (1, 27), (32, 23), (12, 14), (5, 35), (13, 18), (19, 6), (15, 1), (26, 5), (6, 37), (23, 3), (21, 6), (3, 37), (28, 18), (20, 36), (17, 19), (7, 0), (4, 17), (24, 3), (17, 26), (5, 26), (33, 33), (10, 28), (0, 20), (10, 7), (25, 26), (24, 23), (17, 28), (8, 1), (12, 12), (11, 7), (12, 31), (9, 36), (3, 1), (22, 18), (18, 22), (2, 4), (22, 34), (23, 10), (30, 33), (33, 14), (9, 8), (4, 15), (22, 4), (1, 3), (3, 15), (20, 35), (17, 36), (24, 20), (8, 26), (25, 19), (0, 22), (15, 10), (33, 8), (4, 21), (3, 0), (10, 10), (10, 14), (33, 21), (32, 3), (6, 25), (20, 9), (17, 4), (2, 32), (15, 25), (1, 15), (2, 2), (11, 5), (26, 24), (26, 32), (26, 28), (8, 25), (24, 11), (33, 22), (20, 33), (28, 2), (27, 27), (26, 27), (15, 35), (8, 17), (17, 25), (29, 8), (29, 9), (6, 20), (31, 10), (27, 32), (23, 24), (5, 2), (9, 9), (9, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 0), (27, 28), (30, 28), (4, 24), (6, 8), (24, 9), (11, 0), (3, 19), (5, 16), (21, 10), (17, 35), (5, 33), (8, 26), (5, 7), (12, 10), (1, 21), (26, 13), (6, 35), (24, 36), (8, 36), (8, 37), (31, 31), (19, 5), (22, 2), (23, 2), (0, 13), (35, 6), (29, 17), (35, 34), (10, 21), (4, 17), (0, 38), (9, 35), (20, 22), (4, 19), (33, 24), (5, 15), (23, 16), (35, 9), (28, 0), (20, 37), (5, 5), (28, 7), (2, 31), (27, 10), (29, 6), (11, 24), (26, 29), (26, 18), (15, 3), (22, 9), (16, 12), (20, 0), (30, 0), (25, 18), (35, 10), (33, 27), (30, 4), (27, 8), (8, 38), (31, 7), (1, 26), (26, 20), (27, 2), (26, 23), (34, 12), (21, 0), (11, 6), (25, 0), (16, 9), (28, 38), (28, 12), (18, 22), (15, 22), (15, 26), (30, 36), (26, 32), (24, 25), (28, 24), (25, 26), (0, 9), (6, 33), (0, 28), (28, 2), (24, 27), (9, 13), (3, 28), (31, 0), (0, 16), (27, 3), (26, 0), (1, 18), (7, 19), (19, 28), (25, 15), (19, 16), (7, 33), (1, 24), (30, 9), (20, 28), (31, 22), (13, 7), (23, 29), (10, 2), (27, 38), (0, 34), (27, 14), (33, 10), (31, 18), (0, 35), (22, 23), (9, 6), (10, 23), (14, 31), (2, 14), (2, 9), (29, 20), (14, 17), (26, 22), (17, 37), (8, 13), (11, 16), (24, 14), (12, 28), (11, 4), (35, 32), (3, 32), (7, 14), (19, 24), (29, 2), (0, 26), (11, 31), (15, 20), (16, 23), (13, 19), (24, 31), (15, 21), (14, 20), (17, 0), (30, 19), (18, 0), (29, 31), (30, 14), (11, 3), (1, 29), (17, 22), (12, 13), (12, 25), (3, 23), (15, 27), (31, 26), (26, 7), (8, 0), (12, 5), (18, 21), (9, 2), (20, 13), (12, 17), (16, 17), (12, 29), (16, 26), (13, 24), (3, 38), (11, 5), (4, 23), (23, 24), (6, 1), (13, 30), (14, 34), (34, 17), (19, 33), (11, 15), (23, 30), (13, 21), (29, 25), (20, 16), (15, 25), (13, 5), (30, 10), (7, 0), (14, 12), (13, 34), (15, 37), (21, 30), (14, 35), (12, 27), (11, 19), (20, 31), (4, 13), (29, 36), (30, 3), (1, 35), (3, 4), (33, 23), (29, 22), (9, 31), (2, 8), (9, 36), (23, 9), (18, 9), (29, 13), (19, 38), (30, 8), (23, 22), (22, 10), (28, 13), (29, 37), (10, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 4), (31, 25), (8, 19), (26, 13), (20, 9), (23, 18), (13, 1), (9, 13), (4, 3), (30, 16), (9, 22), (23, 11), (14, 5), (21, 28), (15, 5), (12, 0), (33, 14), (13, 16), (32, 19), (4, 5), (25, 11), (16, 3), (22, 24), (20, 12), (32, 20), (30, 5), (10, 21), (14, 11), (25, 21), (22, 22), (32, 14), (1, 24), (18, 4), (26, 9), (8, 1), (9, 29), (20, 29), (27, 8), (10, 22), (7, 24), (17, 25), (18, 29), (24, 23), (14, 21), (12, 4), (10, 28), (17, 19), (17, 14), (9, 8), (29, 15), (9, 20), (0, 21), (19, 15), (6, 2), (17, 13), (13, 19), (20, 10), (30, 29), (32, 13), (25, 1), (5, 11), (3, 1), (8, 27), (31, 0), (14, 23), (5, 28), (12, 29), (18, 12), (14, 18), (2, 22), (16, 8), (14, 0), (18, 18), (2, 21), (26, 27), (22, 10), (28, 15), (19, 7), (15, 27), (5, 26), (4, 0), (20, 5), (17, 24), (0, 22), (16, 9), (28, 3), (27, 13), (29, 22), (30, 13), (31, 21), (25, 18), (5, 10), (30, 19), (32, 15), (9, 21), (21, 4), (7, 0), (4, 12), (25, 15), (11, 23), (29, 18), (10, 5), (9, 16), (31, 18), (33, 3), (29, 20), (24, 24), (15, 24), (5, 0), (17, 23), (27, 2), (8, 12), (4, 8), (31, 19), (17, 20), (6, 0), (24, 16), (17, 16), (27, 17), (1, 20), (20, 3), (23, 26), (2, 10), (11, 26), (7, 18), (12, 15), (3, 0), (32, 8), (7, 27), (19, 10), (9, 7), (18, 20), (2, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 39x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 31), (9, 7), (6, 24), (20, 21), (17, 16), (14, 14), (26, 11), (38, 4), (36, 14), (4, 15), (31, 10), (15, 19), (11, 27), (30, 1), (6, 1), (25, 7), (10, 33), (36, 21), (36, 18), (9, 25), (19, 5), (9, 23), (28, 6), (13, 25), (1, 28), (20, 16), (33, 11), (6, 9), (6, 17), (7, 4), (14, 15), (33, 9), (3, 31), (7, 32), (38, 5), (12, 16), (25, 9), (22, 16), (14, 20), (18, 21), (36, 7), (14, 29), (5, 5), (0, 18), (5, 22), (10, 5), (12, 3), (0, 7), (8, 29), (30, 22), (23, 14), (26, 21), (17, 17), (26, 24), (32, 1), (36, 6), (12, 7), (37, 8), (16, 10), (25, 2), (15, 31), (31, 29), (19, 23), (17, 23), (27, 15), (33, 3), (21, 22), (9, 26), (16, 11), (33, 12), (9, 12), (16, 2), (36, 23), (11, 21), (19, 3), (20, 11), (8, 24), (21, 18), (8, 25), (29, 11), (21, 0), (6, 26), (2, 16), (30, 28), (31, 23), (28, 24), (33, 22), (19, 29), (26, 20), (16, 7), (8, 27), (13, 27), (5, 4), (28, 22), (4, 3), (30, 16), (13, 24), (14, 26), (0, 21), (32, 10), (0, 16), (9, 14), (2, 11), (21, 21), (17, 25), (36, 31), (24, 20), (31, 32), (18, 32), (8, 5), (15, 8), (36, 17), (23, 11), (2, 17), (3, 28), (31, 3), (17, 19), (13, 21), (24, 31), (24, 10), (31, 19), (9, 24), (3, 19), (28, 32), (0, 20), (31, 20), (37, 27), (35, 29), (5, 17), (24, 4), (11, 2), (29, 1), (1, 0), (23, 23), (29, 4), (15, 20), (25, 11), (5, 24), (35, 0), (21, 3), (37, 32), (9, 8), (4, 13), (9, 18), (6, 23), (28, 15), (20, 33), (6, 19), (32, 31), (11, 3), (29, 26), (26, 32), (37, 26), (25, 20), (17, 2), (27, 28), (6, 22), (32, 26), (32, 27), (16, 13), (25, 16), (27, 21), (32, 13), (7, 0), (18, 9), (27, 14), (21, 23), (23, 6), (38, 28), (26, 25), (21, 11), (35, 2), (32, 25), (2, 3), (31, 16), (37, 25), (4, 0), (14, 1), (22, 19), (9, 29), (18, 5), (5, 12), (21, 33), (19, 21), (29, 31), (15, 32), (30, 2), (23, 3), (10, 24), (26, 13), (7, 3), (38, 20), (28, 0), (18, 29), (23, 26), (25, 33), (23, 12), (27, 1), (8, 13), (8, 33), (6, 0), (5, 19), (8, 18), (18, 7), (22, 33), (33, 18), (28, 11), (15, 33), (13, 9), (18, 0), (27, 17), (33, 15), (7, 33), (3, 12), (31, 26), (13, 19), (19, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 18), (33, 12), (9, 8), (3, 6), (12, 4), (8, 12), (19, 17), (12, 14), (24, 13), (22, 15), (2, 12), (35, 35), (36, 20), (13, 17), (5, 6), (15, 35), (20, 9), (9, 25), (10, 20), (22, 10), (23, 12), (21, 29), (14, 6), (9, 11), (28, 10), (10, 23), (27, 28), (1, 35), (26, 14), (5, 13), (20, 23), (26, 19), (19, 6), (9, 12), (32, 30), (25, 16), (15, 31), (29, 35), (26, 1), (8, 31), (20, 8), (14, 29), (10, 1), (37, 28), (16, 3), (20, 19), (33, 22), (36, 33), (14, 5), (11, 34), (19, 36), (35, 20), (14, 37), (22, 22), (15, 22), (30, 1), (12, 5), (11, 4), (10, 31), (23, 27), (35, 19), (2, 9), (19, 13), (20, 3), (7, 19), (18, 21), (34, 25), (23, 17), (29, 37), (32, 10), (37, 16), (9, 16), (26, 32), (10, 22), (18, 19), (7, 33), (32, 26), (13, 31), (35, 17), (22, 34), (35, 6), (13, 35), (4, 14), (19, 22), (4, 9), (1, 9), (9, 1), (20, 7), (29, 19), (16, 34), (12, 7), (31, 29), (14, 11), (22, 0), (5, 22), (14, 12), (30, 37), (23, 19), (18, 35), (7, 5), (18, 2), (20, 28), (0, 36), (17, 4), (5, 16), (28, 32), (18, 4), (29, 34), (27, 10), (27, 37), (36, 29), (33, 20), (14, 25), (12, 9), (13, 2), (28, 1), (16, 29), (20, 27), (30, 21), (3, 3), (32, 19), (4, 8), (32, 23), (12, 25), (3, 12), (13, 0), (32, 3), (33, 17), (0, 21), (18, 3), (17, 12), (27, 20), (28, 30), (21, 21), (15, 12), (24, 3), (5, 24), (12, 2), (35, 16), (9, 18), (22, 16), (35, 25), (4, 0), (5, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 39x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 13), (24, 15), (33, 6), (13, 0), (10, 23), (11, 14), (30, 29), (11, 7), (7, 24), (20, 22), (12, 6), (34, 22), (7, 11), (6, 8), (21, 14), (35, 25), (23, 7), (17, 29), (35, 29), (26, 8), (19, 3), (16, 2), (38, 21), (5, 26), (31, 16), (13, 15), (31, 20), (29, 19), (25, 1), (38, 0), (20, 16), (32, 23), (24, 29), (23, 12), (26, 6), (2, 24), (0, 1), (33, 14), (0, 11), (12, 20), (14, 26), (36, 2), (17, 5), (7, 2), (8, 28), (19, 29), (9, 5), (14, 22), (13, 29), (2, 5), (25, 11), (33, 7), (2, 3), (4, 23), (33, 27), (5, 13), (30, 21), (15, 13), (11, 26), (32, 0), (1, 10), (16, 23), (16, 4), (6, 7), (21, 17), (22, 18), (38, 14), (23, 29), (15, 4), (7, 23), (29, 6), (24, 17), (11, 21), (21, 8), (3, 2), (35, 15), (26, 1), (8, 13), (24, 19), (34, 23), (37, 17), (14, 25), (13, 19), (37, 27), (31, 14), (16, 0), (32, 10), (8, 15), (29, 13), (38, 2), (29, 5), (5, 18), (15, 23), (36, 12), (33, 24), (15, 25), (5, 0), (24, 23), (29, 2), (22, 9), (3, 6), (11, 0), (25, 15), (29, 3), (9, 16), (6, 2), (30, 9), (27, 21), (14, 29), (34, 28), (9, 2), (32, 14), (13, 13), (21, 22), (18, 26), (38, 18), (22, 15), (9, 20), (2, 16), (8, 25), (4, 19), (37, 25), (12, 26), (28, 9), (26, 15), (24, 11), (2, 9), (38, 26), (14, 15), (21, 12), (19, 5), (5, 11), (22, 22), (28, 26), (30, 14), (8, 3), (3, 12), (9, 21), (3, 11), (22, 7), (29, 17), (26, 29), (2, 27), (6, 27), (17, 0), (21, 2), (24, 24), (20, 25), (9, 27), (30, 6), (22, 17), (12, 10), (35, 12), (21, 29), (35, 3), (31, 13), (30, 0), (37, 13), (9, 26), (20, 1), (11, 18), (20, 27), (38, 20), (12, 7), (32, 29), (16, 8), (14, 7), (1, 27), (38, 15), (7, 25), (16, 24), (27, 17), (13, 21), (23, 1), (1, 29), (35, 4), (18, 4), (32, 5), (5, 22), (20, 29), (27, 23), (4, 28), (10, 8), (30, 11), (1, 7), (20, 20), (21, 16), (29, 20), (0, 24), (12, 3), (3, 20), (35, 9), (19, 24), (32, 24), (5, 14), (16, 21), (31, 12), (19, 17), (13, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 32x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 27), (13, 20), (31, 22), (23, 24), (14, 8), (4, 28), (7, 13), (14, 6), (29, 26), (29, 17), (9, 27), (22, 15), (14, 9), (2, 30), (28, 7), (19, 2), (19, 26), (0, 12), (21, 21), (20, 17), (23, 12), (29, 14), (8, 27), (25, 30), (3, 25), (6, 25), (14, 26), (27, 25), (23, 8), (12, 20), (23, 26), (20, 25), (19, 30), (12, 8), (3, 14), (10, 15), (0, 10), (10, 18), (16, 23), (0, 20), (22, 29), (16, 26), (29, 24), (17, 24), (3, 27), (1, 11), (21, 5), (8, 29), (11, 15), (22, 7), (21, 15), (19, 21), (7, 24), (21, 7), (20, 19), (23, 30), (8, 24), (15, 16), (27, 23), (23, 25), (25, 25), (27, 10), (10, 25), (7, 3), (30, 3), (25, 2), (7, 12), (29, 6), (7, 23), (6, 15), (4, 6), (14, 27), (5, 7), (4, 16), (1, 7), (18, 20), (17, 28), (19, 0), (8, 5), (22, 26), (7, 17), (12, 9), (0, 26), (10, 30), (17, 7), (15, 28), (28, 24), (14, 19), (20, 21), (12, 5), (7, 26), (10, 3), (26, 0), (21, 6), (13, 11), (25, 7), (11, 11), (5, 25), (16, 8), (3, 18), (16, 6), (15, 6), (17, 20), (11, 0), (11, 7), (14, 29), (27, 6), (9, 1), (27, 16), (10, 9), (26, 13), (12, 30), (18, 4), (27, 27), (16, 18), (3, 6), (21, 20), (26, 25), (23, 9), (21, 29), (16, 10), (25, 28), (13, 5), (20, 20), (14, 10), (0, 17), (2, 22), (9, 14), (16, 1), (10, 16), (15, 12), (30, 16), (10, 20), (19, 19), (26, 18), (10, 22), (11, 29), (5, 0), (23, 5), (3, 21), (14, 16), (24, 12), (25, 13), (7, 6), (23, 22), (18, 1), (19, 7), (3, 8), (23, 21), (13, 8), (20, 1), (25, 11), (31, 16), (18, 25), (12, 6), (4, 3), (1, 2), (24, 22), (30, 5), (9, 16), (25, 3), (11, 25), (12, 18), (31, 4), (19, 25), (19, 1), (4, 4), (15, 29), (20, 12), (29, 10), (19, 18), (22, 9), (7, 2), (18, 0), (25, 29), (31, 8), (8, 2), (14, 11), (29, 29), (5, 16), (20, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 34x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 15), (23, 27), (25, 32), (11, 0), (8, 17), (8, 34), (25, 8), (9, 32), (18, 10), (29, 13), (5, 7), (33, 19), (21, 30), (13, 12), (11, 2), (18, 19), (9, 13), (31, 4), (20, 18), (30, 34), (31, 23), (12, 6), (30, 15), (27, 29), (0, 9), (3, 32), (28, 17), (16, 21), (31, 30), (0, 23), (19, 22), (30, 4), (26, 13), (5, 31), (22, 10), (8, 11), (32, 10), (18, 24), (10, 31), (17, 5), (19, 30), (8, 7), (0, 4), (25, 19), (19, 18), (24, 29), (6, 9), (1, 3), (21, 11), (8, 33), (3, 16), (33, 32), (21, 9), (13, 32), (4, 5), (21, 8), (6, 10), (22, 18), (13, 5), (10, 4), (8, 6), (3, 5), (5, 14), (12, 27), (7, 19), (33, 7), (4, 8), (11, 26), (33, 4), (9, 7), (1, 28), (29, 8), (31, 24), (21, 31), (1, 30), (13, 10), (19, 34), (29, 25), (7, 23), (29, 35), (17, 30), (28, 21), (2, 20), (9, 24), (30, 33), (5, 24), (30, 10), (31, 25), (11, 25), (6, 1), (22, 4), (22, 20), (15, 26), (3, 0), (16, 35), (24, 24), (5, 28), (8, 18), (29, 26), (8, 24), (23, 18), (21, 6), (0, 29), (15, 28), (6, 22), (23, 3), (10, 32), (24, 30), (31, 21), (11, 1), (2, 31), (10, 3), (15, 9), (1, 12), (18, 18), (33, 34), (11, 24), (7, 1), (3, 24), (25, 17), (14, 22), (33, 9), (13, 11), (14, 21), (28, 10), (17, 17), (26, 26), (8, 19), (27, 30), (22, 17), (19, 1), (23, 0), (5, 29), (19, 5), (29, 27), (28, 31), (2, 32), (18, 28), (8, 13), (10, 17), (11, 19), (9, 15), (14, 1), (5, 5), (5, 2), (1, 24), (14, 25), (15, 4), (14, 29), (10, 24), (20, 27), (21, 10), (9, 6), (25, 28), (16, 29), (15, 3), (7, 12), (27, 22), (13, 16), (20, 10), (3, 2), (0, 16), (33, 30), (11, 35), (30, 17), (16, 11), (28, 12), (21, 24), (1, 26), (4, 14), (15, 15), (28, 9), (4, 35), (18, 33), (28, 35)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 31), (10, 21), (3, 35), (8, 20), (3, 29), (24, 21), (18, 35), (19, 32), (30, 21), (0, 32), (7, 35), (20, 13), (17, 35), (22, 21), (20, 25), (28, 22), (3, 2), (8, 0), (24, 34), (11, 19), (12, 15), (20, 1), (25, 2), (8, 6), (12, 14), (11, 31), (5, 27), (8, 32), (30, 29), (20, 20), (16, 5), (7, 0), (20, 2), (26, 10), (21, 7), (11, 22), (22, 32), (18, 0), (16, 17), (6, 0), (16, 18), (0, 10), (12, 32), (14, 25), (14, 24), (0, 34), (4, 23), (19, 28), (23, 2), (9, 28), (13, 25), (26, 4), (0, 21), (2, 8), (31, 33), (23, 32), (2, 17), (9, 35), (12, 18), (2, 6), (7, 30), (23, 10), (9, 16), (19, 16), (16, 13), (25, 23), (17, 26), (8, 1), (16, 11), (26, 13), (11, 8), (15, 35), (21, 34), (6, 5), (29, 0), (2, 5), (18, 6), (31, 10), (23, 15), (4, 5), (11, 18), (15, 1), (28, 21), (18, 33), (16, 21), (20, 31), (4, 29), (22, 29), (8, 7), (11, 20), (28, 19), (20, 14), (23, 4), (8, 16), (28, 14), (25, 18), (11, 21), (28, 5), (11, 30), (13, 22), (22, 12), (3, 9), (11, 26), (19, 3), (5, 35), (27, 26), (2, 26), (14, 15), (4, 14), (2, 25), (20, 19), (5, 20), (19, 6), (31, 4), (18, 2), (27, 16), (19, 34), (10, 23), (13, 3), (1, 32), (17, 32), (31, 29), (19, 18), (27, 12), (29, 13), (4, 4), (31, 22), (31, 5), (26, 17), (22, 1), (0, 8), (10, 30), (29, 28), (31, 3), (12, 2), (2, 12), (26, 23), (20, 8), (19, 20), (2, 0), (29, 7), (2, 30), (3, 15), (9, 1), (28, 6), (9, 9), (22, 0), (25, 17), (13, 13), (23, 9), (18, 5), (17, 25), (19, 14), (20, 4), (3, 10), (26, 15), (20, 23), (4, 33), (25, 4), (30, 31), (5, 5), (7, 19), (13, 4), (13, 28), (28, 23), (0, 26), (0, 7), (20, 6), (11, 0), (15, 22), (6, 12), (14, 0), (22, 10), (5, 13), (9, 13), (12, 20), (27, 4), (13, 20), (24, 3), (29, 14), (29, 1), (14, 8), (26, 9), (2, 21), (26, 2), (20, 21), (2, 23), (18, 21), (23, 14), (13, 30), (1, 25), (16, 2), (21, 23), (8, 22), (27, 15), (10, 33), (4, 1), (18, 24), (14, 23), (24, 13), (18, 9), (27, 18), (11, 14), (5, 17), (30, 19), (22, 17), (6, 27), (7, 29), (28, 33), (30, 0), (7, 4), (20, 5), (2, 19), (3, 34), (15, 34), (5, 2), (21, 14), (15, 8), (4, 10), (26, 33), (7, 25), (5, 15), (18, 29), (12, 1), (15, 17), (29, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 0), (3, 27), (28, 14), (6, 25), (10, 9), (14, 2), (4, 26), (22, 33), (23, 1), (31, 19), (1, 7), (10, 18), (27, 7), (27, 23), (9, 3), (20, 17), (8, 30), (21, 5), (9, 9), (18, 24), (28, 17), (21, 2), (5, 24), (11, 6), (8, 15), (12, 16), (31, 22), (2, 23), (3, 21), (4, 31), (8, 36), (16, 5), (15, 25), (8, 17), (13, 3), (14, 6), (31, 17), (12, 5), (8, 3), (26, 11), (0, 31), (0, 5), (18, 1), (8, 12), (21, 12), (6, 3), (29, 19), (1, 9), (5, 27), (25, 36), (1, 0), (25, 5), (27, 28), (7, 6), (7, 8), (28, 21), (15, 19), (11, 14), (23, 0), (22, 20), (26, 31), (11, 24), (21, 10), (11, 15), (3, 22), (29, 12), (16, 16), (20, 30), (24, 35), (23, 28), (14, 15), (26, 6), (16, 21), (25, 12), (8, 19), (20, 3), (17, 3), (11, 26), (29, 22), (3, 8), (24, 18), (7, 22), (31, 7), (19, 4), (31, 16), (1, 16), (31, 25), (2, 1), (7, 20), (27, 36), (2, 9), (0, 2), (27, 30), (30, 11), (13, 31), (12, 14), (11, 31), (16, 20), (19, 0), (13, 33), (18, 21), (0, 14), (30, 34), (20, 18), (21, 36), (22, 25), (20, 15), (9, 22), (11, 1), (8, 33), (12, 23), (0, 8), (26, 20), (5, 33), (2, 7), (22, 0), (22, 26), (12, 24), (5, 36), (29, 23), (30, 13), (4, 35), (16, 35), (29, 18), (19, 14), (21, 19), (25, 28), (9, 5), (9, 4), (11, 30), (8, 6), (29, 13), (27, 18), (8, 1), (13, 35), (14, 21), (9, 8), (24, 3), (24, 17), (12, 4), (10, 27), (6, 17), (16, 11), (9, 2), (7, 7), (17, 28), (28, 36), (29, 21), (12, 32), (2, 12), (22, 11), (26, 13), (28, 13), (1, 17), (30, 29), (7, 1), (24, 30), (22, 17), (28, 16), (26, 19), (16, 9), (30, 24), (5, 23), (16, 18), (26, 15), (2, 26), (15, 12), (13, 7), (11, 17), (18, 9), (16, 24), (27, 6), (31, 31), (24, 28), (6, 20), (3, 13), (13, 15), (27, 1), (29, 29), (17, 12), (1, 13), (7, 25), (21, 30), (1, 28), (3, 28), (23, 27), (2, 5), (5, 17), (26, 25), (22, 14), (13, 34), (6, 11), (27, 5), (21, 28), (8, 32), (30, 8), (13, 0), (23, 22), (1, 24), (14, 27), (5, 2), (6, 26), (21, 18), (17, 0), (1, 8), (9, 6), (11, 13), (25, 34), (14, 9), (9, 0), (30, 28), (25, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 38x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 25), (28, 5), (0, 4), (36, 15), (8, 0), (5, 25), (30, 28), (36, 17), (2, 12), (15, 22), (36, 13), (11, 12), (12, 2), (6, 27), (8, 20), (26, 3), (2, 23), (36, 0), (11, 5), (25, 29), (4, 6), (10, 9), (0, 21), (4, 22), (23, 4), (21, 2), (24, 29), (26, 22), (24, 25), (36, 28), (6, 17), (1, 4), (23, 5), (28, 0), (30, 0), (33, 25), (24, 23), (16, 29), (33, 5), (37, 0), (14, 22), (2, 3), (19, 18), (5, 17), (25, 14), (22, 7), (11, 8), (18, 13), (24, 7), (14, 9), (11, 24), (30, 26), (31, 7), (26, 29), (14, 5), (4, 27), (5, 7), (14, 7), (6, 22), (15, 24), (14, 23), (28, 16), (7, 12), (5, 16), (6, 25), (20, 27), (16, 16), (32, 18), (12, 21), (33, 16), (29, 4), (14, 16), (29, 12), (14, 27), (7, 11), (30, 16), (32, 8), (22, 22), (18, 14), (3, 6), (11, 14), (15, 0), (8, 18), (26, 5), (2, 8), (13, 16), (8, 9), (8, 27), (13, 13), (16, 28), (26, 27), (32, 25), (27, 5), (25, 13), (11, 1), (10, 16), (31, 14), (1, 28), (35, 12), (16, 1), (6, 2), (28, 28), (6, 11), (15, 23), (19, 6), (22, 8), (22, 14), (25, 22), (22, 11), (10, 3), (5, 4), (29, 19), (9, 20), (22, 4), (8, 16), (16, 4), (17, 14), (33, 10), (5, 12), (22, 18), (35, 13), (32, 5), (35, 14), (32, 29), (19, 15), (37, 20), (33, 21), (30, 19), (35, 4), (21, 18), (36, 24), (21, 5), (5, 29), (2, 6), (0, 18), (10, 17), (26, 28), (31, 24), (11, 13), (2, 24), (17, 0), (30, 8), (1, 16), (14, 11), (0, 10), (1, 1), (4, 1), (6, 7), (9, 3), (1, 7), (3, 23), (22, 1), (31, 9), (34, 18), (9, 26), (26, 12), (18, 21), (28, 6), (1, 17), (15, 2), (20, 20), (17, 12), (9, 22), (0, 1), (4, 19), (14, 20), (16, 19), (1, 27), (2, 16), (26, 7), (22, 28), (26, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 11), (11, 32), (31, 29), (4, 28), (2, 13), (25, 4), (17, 30), (7, 14), (13, 36), (21, 22), (17, 17), (20, 30), (6, 15), (16, 9), (5, 3), (18, 3), (29, 3), (0, 9), (12, 18), (19, 13), (20, 17), (28, 23), (9, 30), (22, 7), (2, 24), (31, 30), (15, 26), (28, 0), (29, 9), (27, 12), (17, 28), (18, 28), (10, 9), (12, 24), (9, 0), (23, 33), (6, 17), (8, 17), (6, 32), (30, 34), (26, 21), (10, 19), (27, 11), (28, 13), (3, 23), (24, 4), (14, 3), (4, 29), (2, 23), (9, 24), (1, 5), (10, 33), (10, 0), (30, 8), (15, 16), (5, 28), (4, 16), (2, 7), (13, 32), (21, 6), (14, 7), (17, 29), (18, 16), (8, 12), (17, 1), (23, 32), (16, 21), (19, 28), (5, 37), (26, 4), (14, 2), (6, 26), (12, 16), (10, 31), (30, 23), (13, 30), (6, 4), (2, 26), (24, 28), (17, 3), (4, 1), (30, 2), (21, 0), (4, 4), (3, 3), (19, 35), (10, 13), (6, 34), (20, 10), (31, 19), (7, 29), (12, 19), (21, 3), (24, 17), (24, 14), (16, 4), (12, 12), (0, 10), (9, 23), (5, 22), (16, 16), (16, 11), (27, 2), (13, 27), (12, 32), (10, 4), (7, 6), (32, 1), (28, 28), (9, 12), (19, 11), (8, 9), (4, 0), (8, 36), (0, 37), (30, 30), (18, 4), (31, 2), (23, 29), (23, 17), (11, 19), (30, 19), (1, 7), (17, 32), (18, 29), (12, 11), (23, 11), (6, 7), (27, 7), (23, 30), (31, 33), (14, 14), (15, 31), (11, 5), (25, 17), (16, 22), (17, 15), (14, 16), (14, 5), (12, 7), (17, 21), (7, 15), (19, 29), (8, 34), (32, 32), (17, 18), (12, 30), (4, 24), (3, 16), (32, 7), (10, 23), (16, 13), (26, 37), (24, 2), (26, 32), (18, 30), (21, 12), (9, 26), (8, 16), (19, 37), (27, 5), (15, 25), (18, 17), (11, 27), (7, 27), (23, 36), (7, 26), (28, 10), (17, 16), (29, 10), (9, 31), (29, 15), (5, 12), (18, 24), (5, 24), (8, 25), (17, 13), (24, 35), (12, 15), (27, 36)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 1), (32, 24), (36, 4), (6, 0), (34, 16), (19, 9), (16, 19), (26, 17), (22, 15), (16, 13), (15, 15), (20, 15), (2, 4), (35, 18), (32, 20), (6, 5), (36, 16), (4, 3), (13, 18), (22, 0), (0, 8), (27, 6), (0, 20), (20, 17), (8, 18), (25, 13), (1, 10), (11, 23), (26, 3), (12, 25), (21, 4), (31, 10), (27, 31), (18, 10), (3, 23), (27, 23), (34, 15), (29, 32), (2, 30), (22, 14), (14, 14), (35, 17), (8, 16), (9, 31), (14, 10), (2, 32), (16, 27), (9, 14), (9, 9), (27, 11), (27, 16), (33, 16), (19, 6), (26, 23), (27, 12), (3, 16), (5, 20), (15, 29), (20, 29), (35, 27), (16, 31), (5, 3), (34, 1), (13, 2), (10, 18), (15, 28), (22, 28), (22, 24), (21, 2), (30, 20), (27, 4), (5, 28), (35, 2), (10, 21), (21, 23), (7, 19), (25, 19), (19, 11), (3, 20), (7, 14), (22, 10), (7, 7), (12, 28), (24, 10), (23, 23), (6, 1), (24, 1), (3, 27), (29, 17), (21, 1), (13, 9), (0, 18), (33, 0), (14, 27), (29, 20), (3, 25), (34, 32), (23, 2), (16, 29), (30, 23), (6, 19), (30, 8), (36, 0), (36, 11), (6, 18), (34, 29), (27, 26), (23, 20), (10, 32), (8, 15), (28, 31), (19, 29), (4, 16), (14, 18), (1, 0), (34, 13), (3, 12), (25, 26), (32, 0), (21, 27), (16, 0), (5, 5), (0, 16), (25, 6), (23, 12), (22, 4), (12, 18), (14, 26), (3, 19), (22, 23), (1, 28), (10, 17), (29, 7), (20, 1), (24, 5), (5, 10), (19, 19), (33, 7), (18, 19), (5, 15), (8, 20), (33, 5), (0, 5), (23, 24), (25, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 34), (26, 33), (30, 24), (25, 22), (14, 0), (21, 8), (0, 10), (17, 6), (9, 25), (16, 8), (27, 29), (14, 23), (13, 17), (5, 30), (0, 36), (7, 4), (21, 36), (3, 32), (30, 7), (7, 35), (30, 32), (14, 12), (30, 8), (11, 16), (9, 1), (29, 21), (18, 5), (11, 33), (14, 29), (29, 15), (13, 2), (0, 19), (17, 8), (9, 15), (12, 12), (16, 22), (8, 30), (5, 3), (6, 31), (27, 0), (15, 9), (16, 33), (2, 25), (9, 24), (25, 19), (11, 7), (15, 30), (18, 12), (22, 36), (3, 7), (23, 5), (21, 31), (7, 1), (24, 18), (24, 19), (11, 25), (1, 32), (27, 19), (17, 13), (18, 3), (12, 36), (15, 18), (10, 4), (24, 27), (1, 10), (15, 26), (18, 14), (23, 16), (16, 13), (20, 27), (2, 34), (12, 35), (22, 29), (19, 14), (28, 13), (16, 26), (13, 36), (19, 24), (12, 3), (12, 15), (0, 20), (17, 23), (19, 17), (20, 16), (8, 25), (16, 28), (20, 8), (12, 4), (8, 9), (3, 35), (12, 28), (11, 15), (6, 22), (13, 30), (17, 19), (16, 11), (6, 24), (6, 3), (9, 10), (25, 31), (4, 17), (22, 14), (19, 13), (2, 10), (21, 0), (18, 31), (22, 32), (23, 18), (28, 23), (1, 13), (4, 10), (16, 9), (6, 5), (4, 8), (24, 36), (22, 24), (20, 0), (27, 36), (3, 18), (28, 12), (19, 11), (3, 15), (21, 4), (6, 16), (25, 24), (9, 3), (21, 16), (4, 19), (2, 2), (16, 31), (25, 32), (12, 26), (26, 31), (9, 18), (11, 5), (7, 3), (4, 7), (16, 27), (9, 19), (22, 8), (5, 14), (20, 34), (1, 29), (30, 3), (15, 29), (12, 8), (19, 7), (10, 25), (26, 14), (1, 11), (5, 11), (11, 6), (25, 25), (29, 13), (12, 31), (0, 5), (19, 21), (11, 9), (10, 16), (17, 36), (25, 27), (19, 19), (4, 27), (1, 12), (5, 13), (26, 35), (4, 23), (14, 32), (15, 23), (18, 21), (11, 27), (6, 15), (21, 28), (25, 36), (24, 1), (5, 15), (15, 34), (25, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 11), (34, 28), (12, 30), (30, 35), (9, 10), (2, 20), (27, 2), (26, 36), (26, 0), (22, 11), (5, 10), (7, 32), (23, 17), (10, 25), (29, 35), (18, 17), (15, 33), (17, 0), (13, 29), (8, 30), (8, 24), (11, 9), (22, 25), (10, 9), (6, 32), (24, 36), (28, 22), (0, 29), (14, 1), (24, 7), (1, 37), (26, 13), (16, 34), (1, 32), (4, 20), (5, 25), (21, 7), (10, 35), (2, 6), (31, 7), (17, 37), (23, 36), (5, 0), (4, 37), (17, 9), (33, 27), (21, 14), (22, 6), (30, 9), (31, 17), (0, 13), (4, 34), (4, 19), (20, 25), (32, 2), (33, 3), (28, 25), (33, 5), (2, 33), (21, 12), (28, 36), (4, 24), (30, 28), (12, 5), (11, 11), (14, 37), (24, 26), (1, 11), (7, 22), (20, 6), (34, 6), (19, 24), (5, 21), (11, 32), (31, 22), (15, 20), (1, 14), (34, 35), (4, 16), (30, 29), (6, 14), (25, 23), (26, 15), (20, 16), (25, 26), (22, 5), (30, 13), (18, 25), (0, 25), (8, 17), (20, 32), (1, 23), (26, 20), (19, 25), (29, 12), (12, 17), (33, 34), (28, 28), (15, 3), (1, 25), (5, 37), (6, 11), (19, 26), (32, 8), (19, 12), (6, 17), (19, 28), (22, 37), (25, 21), (11, 1), (20, 27), (15, 6), (32, 5), (32, 11), (21, 5), (29, 6), (0, 28), (15, 36), (6, 26), (27, 34), (6, 18), (10, 31), (28, 18), (32, 29), (18, 27), (16, 2), (0, 35), (22, 30), (18, 29), (12, 8), (17, 3), (25, 30), (11, 20), (33, 35), (14, 31), (9, 29), (10, 6), (12, 23), (22, 3), (2, 3), (3, 15), (11, 10), (15, 8), (27, 31), (10, 36), (17, 21), (31, 11), (27, 21), (22, 31), (22, 12), (26, 32), (10, 29), (0, 31), (21, 9), (33, 15), (17, 7), (21, 23), (19, 19), (4, 10), (21, 28), (29, 28), (33, 9), (34, 19), (10, 27), (9, 33), (16, 3), (1, 35), (14, 9), (11, 17), (8, 0), (2, 14), (8, 7), (12, 27), (5, 3), (9, 20), (8, 36), (15, 26), (5, 19), (22, 18), (6, 33), (5, 18), (19, 18), (15, 11), (34, 8), (25, 29), (31, 13), (20, 23), (19, 14), (9, 25), (9, 4), (7, 12), (19, 17), (8, 22), (32, 28), (3, 10), (4, 14), (20, 15), (23, 21), (20, 4), (29, 14), (7, 0), (13, 21), (7, 4), (11, 16), (34, 15), (14, 26), (16, 0), (14, 24), (1, 2), (23, 16), (1, 1), (19, 30), (5, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 34x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 26), (0, 12), (7, 14), (1, 28), (13, 26), (13, 27), (1, 10), (10, 5), (21, 30), (19, 7), (15, 8), (7, 30), (8, 14), (23, 29), (21, 15), (33, 22), (10, 17), (28, 9), (11, 6), (10, 15), (2, 18), (21, 25), (14, 29), (28, 8), (33, 1), (13, 24), (24, 18), (25, 14), (18, 29), (0, 4), (31, 2), (5, 19), (21, 22), (10, 4), (12, 4), (15, 13), (14, 10), (14, 9), (33, 12), (25, 17), (11, 18), (3, 3), (12, 9), (22, 9), (7, 5), (30, 1), (7, 11), (4, 13), (11, 2), (10, 30), (19, 1), (21, 7), (7, 4), (29, 23), (15, 1), (20, 6), (15, 15), (1, 26), (15, 27), (7, 12), (2, 30), (11, 12), (21, 17), (2, 19), (15, 24), (24, 20), (13, 0), (0, 30), (6, 8), (7, 23), (28, 2), (7, 22), (28, 15), (20, 5), (8, 1), (29, 10), (29, 8), (7, 8), (10, 13), (32, 13), (13, 3), (15, 21), (23, 26), (2, 7), (3, 17), (25, 13), (5, 25), (30, 20), (5, 12), (15, 10), (8, 8), (17, 0), (18, 22), (27, 23), (22, 8), (16, 16), (30, 4), (8, 23), (8, 0), (15, 0), (8, 10), (14, 22), (11, 4), (20, 29), (7, 9), (21, 23), (25, 21), (6, 23), (27, 6), (1, 27), (6, 19), (17, 8), (26, 6), (6, 18), (19, 5), (28, 30), (16, 18), (26, 24), (26, 12), (22, 23), (26, 22), (10, 16), (28, 19), (3, 0), (23, 4), (24, 16), (4, 26), (20, 24), (4, 25), (11, 1), (32, 0), (33, 28), (28, 28), (0, 20), (26, 4), (7, 0), (2, 5), (14, 4), (33, 16), (31, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 0), (10, 13), (12, 5), (22, 8), (8, 28), (14, 20), (10, 3), (12, 20), (17, 14), (22, 11), (20, 5), (16, 15), (8, 25), (2, 17), (7, 18), (20, 6), (34, 10), (24, 25), (8, 18), (2, 15), (34, 22), (10, 19), (32, 10), (33, 3), (24, 13), (7, 13), (17, 20), (20, 3), (11, 23), (8, 23), (3, 6), (15, 26), (27, 13), (0, 23), (3, 17), (8, 3), (29, 22), (3, 29), (25, 12), (16, 21), (23, 29), (8, 24), (33, 6), (30, 2), (4, 23), (15, 25), (5, 20), (16, 17), (19, 18), (19, 28), (11, 20), (7, 28), (2, 25), (17, 13), (34, 14), (17, 30), (24, 19), (17, 24), (22, 25), (21, 6), (9, 12), (24, 10), (5, 17), (27, 20), (25, 4), (10, 31), (21, 15), (12, 1), (1, 25), (27, 1), (18, 6), (19, 11), (10, 10), (20, 26), (20, 28), (24, 11), (20, 14), (22, 19), (11, 11), (22, 0), (11, 18), (25, 2), (23, 3), (16, 4), (32, 16), (34, 18), (8, 17), (7, 6), (5, 14), (12, 11), (19, 19), (9, 2), (26, 0), (18, 11), (20, 30), (15, 11), (17, 28), (23, 2), (7, 10), (10, 15), (21, 17), (3, 3), (10, 17), (7, 15), (19, 6), (6, 2), (23, 28), (1, 20), (7, 9), (15, 7), (20, 29), (33, 31), (32, 21), (0, 1), (9, 25), (14, 30), (14, 6), (25, 22), (18, 31), (19, 21), (19, 29), (21, 3), (33, 1), (8, 4), (26, 1), (30, 28), (25, 19), (4, 17), (20, 15), (33, 24), (27, 6), (0, 18), (34, 26), (25, 29), (29, 6), (32, 27), (1, 11), (14, 2), (15, 8), (6, 28), (31, 2), (11, 2), (17, 22), (14, 10), (26, 10), (19, 15), (31, 7), (4, 12), (18, 3), (7, 30), (18, 30), (13, 17), (15, 28), (19, 4), (10, 26), (4, 29), (20, 9), (8, 14), (31, 22), (12, 8), (6, 13), (5, 5), (20, 13), (18, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 20), (30, 7), (13, 26), (27, 7), (23, 20), (14, 16), (14, 24), (6, 6), (13, 15), (13, 12), (13, 32), (8, 11), (8, 8), (30, 31), (9, 33), (9, 1), (30, 33), (17, 28), (4, 4), (29, 13), (20, 3), (3, 34), (12, 8), (1, 8), (0, 3), (10, 9), (30, 35), (2, 16), (5, 35), (3, 32), (5, 30), (20, 25), (23, 31), (14, 25), (16, 20), (19, 28), (1, 5), (2, 1), (9, 6), (27, 36), (24, 31), (29, 31), (10, 31), (22, 22), (2, 21), (18, 2), (8, 34), (0, 9), (15, 36), (21, 0), (1, 10), (6, 25), (29, 26), (8, 0), (28, 15), (14, 30), (27, 16), (13, 23), (5, 5), (15, 4), (6, 21), (2, 7), (29, 2), (11, 32), (21, 23), (4, 22), (26, 27), (30, 16), (6, 7), (26, 1), (22, 13), (18, 36), (2, 15), (29, 27), (3, 30), (25, 6), (25, 29), (0, 35), (18, 0), (2, 23), (13, 22), (4, 0), (15, 25), (17, 23), (19, 5), (16, 15), (0, 34), (30, 26), (26, 19), (6, 10), (27, 14), (29, 9), (14, 22), (28, 16), (25, 26), (11, 21), (18, 7), (16, 2), (7, 21), (13, 34), (29, 30), (27, 37), (9, 19), (25, 35), (27, 0), (30, 22), (26, 9), (15, 11), (20, 7), (12, 31), (3, 10), (1, 34), (17, 10), (21, 13), (5, 12), (18, 9), (16, 19), (14, 10), (13, 16), (17, 37), (9, 37), (10, 13), (25, 16), (20, 32), (19, 8), (12, 34), (10, 33), (17, 11), (21, 11), (30, 23), (24, 12), (10, 12), (14, 12), (2, 2), (28, 19), (7, 37), (28, 24), (21, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 10), (1, 13), (10, 8), (9, 28), (7, 21), (10, 36), (12, 5), (18, 27), (10, 26), (15, 26), (1, 8), (10, 24), (15, 10), (25, 17), (15, 31), (34, 9), (32, 31), (29, 31), (15, 4), (8, 11), (21, 12), (11, 35), (5, 27), (5, 24), (5, 31), (31, 19), (27, 30), (22, 24), (23, 31), (16, 21), (19, 31), (12, 13), (6, 3), (18, 22), (6, 6), (25, 1), (35, 36), (8, 31), (33, 26), (26, 21), (35, 28), (2, 19), (22, 10), (1, 20), (23, 34), (25, 36), (4, 4), (4, 17), (27, 24), (9, 9), (33, 34), (18, 36), (33, 21), (31, 35), (23, 13), (22, 22), (33, 32), (27, 5), (27, 19), (19, 11), (33, 5), (0, 19), (14, 25), (5, 18), (10, 1), (34, 3), (30, 16), (10, 18), (20, 8), (18, 8), (23, 5), (8, 33), (17, 22), (33, 9), (4, 14), (17, 13), (12, 18), (30, 28), (17, 0), (19, 10), (25, 24), (27, 16), (5, 21), (31, 16), (10, 30), (11, 5), (8, 25), (26, 1), (17, 28), (31, 5), (31, 32), (19, 17), (24, 1), (24, 28), (29, 25), (28, 0), (28, 14), (22, 29), (18, 4), (3, 22), (23, 9), (36, 25), (19, 5), (17, 12), (17, 1), (15, 33), (35, 9), (0, 3), (20, 21), (1, 35), (29, 6), (23, 11), (3, 24), (21, 9), (33, 29), (27, 22), (27, 6), (17, 9), (31, 28), (16, 25), (32, 13), (2, 11), (35, 32), (26, 26), (15, 30), (20, 6), (22, 14), (24, 35), (31, 9), (9, 18), (27, 2), (34, 8), (31, 8), (27, 3), (26, 9), (6, 31), (3, 28), (3, 32), (16, 19), (19, 19), (29, 26), (4, 34), (17, 7), (36, 22), (22, 28), (35, 29), (21, 34), (35, 14), (22, 15), (0, 28), (35, 25), (11, 13), (11, 36), (20, 5), (9, 33), (27, 31), (17, 27), (13, 27), (29, 33), (11, 18), (18, 20), (30, 24), (15, 28), (22, 13), (35, 18), (29, 18), (10, 25), (20, 23), (14, 35), (35, 12), (23, 2), (15, 29), (32, 16), (1, 18), (32, 8), (10, 23), (19, 36), (4, 26), (26, 27), (15, 34), (30, 35), (25, 33), (14, 17), (0, 30), (19, 23), (20, 33), (2, 21), (31, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 33), (1, 13), (10, 1), (23, 31), (21, 32), (12, 32), (1, 24), (4, 21), (26, 17), (1, 17), (28, 5), (19, 1), (6, 18), (17, 18), (4, 26), (16, 32), (26, 26), (4, 5), (15, 30), (0, 22), (11, 6), (12, 21), (3, 15), (10, 29), (30, 27), (14, 11), (6, 35), (20, 4), (3, 4), (12, 28), (24, 24), (1, 33), (11, 0), (13, 13), (14, 13), (8, 22), (8, 9), (10, 31), (0, 31), (0, 13), (4, 32), (8, 29), (23, 23), (6, 10), (2, 6), (16, 18), (17, 5), (25, 9), (23, 25), (23, 4), (8, 13), (25, 8), (25, 32), (16, 33), (24, 21), (20, 33), (21, 7), (12, 33), (20, 16), (4, 7), (21, 18), (15, 35), (16, 21), (14, 2), (28, 4), (8, 4), (24, 12), (21, 33), (30, 9), (11, 32), (15, 10), (3, 1), (7, 20), (15, 7), (24, 4), (8, 27), (30, 32), (10, 13), (23, 33), (8, 15), (13, 34), (28, 32), (22, 32), (6, 20), (1, 16), (7, 14), (30, 14), (23, 11), (20, 31), (1, 14), (25, 26), (0, 24), (16, 1), (5, 19), (28, 12), (29, 21), (11, 33), (12, 30), (28, 2), (22, 25), (13, 16), (26, 6), (19, 23), (5, 9), (2, 7), (28, 1), (8, 12), (29, 8), (24, 30), (20, 23), (18, 2), (9, 26), (18, 5), (21, 35), (19, 18), (7, 15), (24, 0), (1, 35), (11, 21), (17, 27), (30, 12), (28, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 37), (13, 20), (2, 32), (5, 23), (19, 29), (25, 21), (0, 10), (3, 28), (3, 29), (7, 1), (10, 11), (30, 3), (32, 15), (17, 24), (31, 34), (10, 19), (4, 28), (27, 15), (2, 0), (34, 33), (13, 7), (13, 4), (29, 8), (12, 33), (30, 24), (5, 16), (28, 30), (26, 37), (10, 2), (21, 5), (6, 3), (15, 23), (1, 37), (22, 34), (0, 32), (1, 20), (11, 22), (1, 0), (37, 18), (36, 30), (3, 16), (2, 35), (33, 8), (33, 21), (31, 25), (30, 31), (15, 33), (27, 0), (6, 33), (19, 18), (23, 16), (28, 20), (29, 11), (24, 9), (35, 2), (28, 6), (7, 21), (5, 35), (29, 4), (3, 8), (11, 35), (34, 28), (24, 6), (27, 33), (3, 6), (10, 9), (11, 15), (37, 32), (25, 24), (8, 26), (29, 20), (19, 0), (8, 23), (32, 30), (26, 5), (26, 7), (7, 17), (16, 27), (17, 11), (29, 29), (4, 5), (31, 24), (12, 8), (32, 31), (18, 1), (24, 32), (7, 31), (9, 15), (27, 26), (34, 13), (36, 5), (9, 8), (1, 14), (10, 15), (33, 13), (29, 23), (33, 31), (29, 12), (4, 6), (36, 0), (7, 13), (16, 1), (3, 18), (5, 37), (6, 20), (35, 26), (2, 1), (36, 15), (14, 28), (4, 30), (30, 17), (16, 29), (15, 36), (31, 19), (10, 28), (36, 25), (18, 34), (30, 12), (11, 1), (30, 2), (29, 10), (31, 10), (28, 25), (14, 33), (29, 24), (12, 18), (19, 32), (30, 1), (0, 23), (13, 29), (27, 28), (31, 7), (37, 1), (7, 16), (33, 2), (12, 24), (24, 36), (8, 29), (14, 12), (12, 9), (22, 19), (17, 25), (34, 10), (29, 34), (6, 9), (8, 6), (9, 11), (19, 17), (37, 0), (35, 27), (22, 10), (35, 20), (15, 25), (1, 36), (27, 2), (22, 16), (7, 25), (24, 10), (3, 14), (11, 0), (13, 1), (37, 16), (13, 21), (22, 35), (11, 37), (21, 26), (17, 5), (30, 25), (22, 25), (8, 32), (5, 29), (13, 17), (2, 13), (1, 22), (37, 10), (34, 31), (3, 17), (24, 26), (15, 32), (14, 1), (17, 7), (37, 25), (32, 4), (7, 23), (37, 3), (32, 0), (35, 29), (11, 2), (3, 27), (22, 23), (20, 33), (3, 36), (17, 35), (1, 1), (3, 0), (23, 9), (33, 5), (15, 27), (33, 29), (9, 10), (23, 3), (34, 14), (30, 21), (18, 19), (36, 18), (35, 15), (23, 21), (4, 23), (11, 14), (11, 9), (13, 28), (33, 33), (16, 2), (5, 10), (24, 28), (13, 0), (7, 5), (4, 1), (29, 0), (19, 16), (8, 16), (27, 36), (2, 5), (35, 0), (32, 28), (24, 8), (19, 20), (18, 20), (36, 36), (14, 5), (27, 19), (13, 2), (8, 15), (3, 5), (15, 21), (20, 5), (26, 6), (22, 4), (2, 11), (2, 8), (28, 26), (21, 3), (26, 0), (23, 12), (12, 23), (3, 13), (20, 18), (33, 19), (0, 37), (25, 19), (35, 17), (3, 11), (13, 26), (25, 7), (31, 12), (1, 34), (9, 12), (25, 22), (20, 25), (24, 13), (27, 22), (12, 2), (12, 3), (9, 6), (13, 27), (5, 18), (2, 9), (35, 9), (6, 12), (31, 37), (31, 17), (17, 36), (17, 0), (5, 25), (5, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 6), (7, 11), (22, 11), (12, 24), (30, 10), (13, 13), (18, 24), (15, 24), (28, 35), (27, 3), (0, 13), (11, 20), (19, 17), (23, 29), (10, 24), (12, 19), (22, 36), (25, 2), (5, 11), (7, 9), (24, 30), (6, 7), (10, 23), (3, 26), (5, 4), (8, 19), (24, 17), (9, 34), (6, 36), (15, 11), (4, 33), (24, 6), (10, 5), (26, 12), (18, 33), (11, 16), (29, 11), (4, 31), (23, 1), (16, 17), (27, 11), (11, 27), (6, 28), (27, 27), (19, 24), (13, 16), (15, 13), (29, 17), (5, 14), (16, 26), (8, 35), (13, 17), (26, 16), (27, 20), (13, 10), (3, 29), (26, 7), (21, 18), (8, 0), (30, 35), (2, 23), (15, 5), (13, 15), (6, 13), (16, 28), (12, 21), (1, 29), (30, 8), (3, 31), (19, 30), (25, 10), (5, 30), (10, 37), (26, 0), (29, 36), (8, 4), (27, 26), (1, 24), (16, 30), (5, 10), (28, 31), (27, 29), (1, 19), (14, 30), (3, 36), (10, 32), (23, 11), (15, 14), (2, 32), (3, 13), (12, 9), (0, 15), (8, 6), (9, 5), (6, 27), (9, 22), (23, 8), (13, 22), (0, 11), (24, 0), (4, 13), (21, 14), (15, 36), (4, 4), (9, 2), (2, 22), (9, 3), (18, 13), (25, 19), (24, 26), (15, 23), (8, 8), (20, 6), (11, 0), (0, 26), (20, 7), (9, 30), (28, 33), (2, 25), (8, 31), (1, 9), (7, 5), (26, 32), (14, 4), (21, 5), (7, 37), (5, 5), (30, 0), (5, 34), (17, 8), (16, 1), (25, 23), (12, 18), (7, 33), (25, 37), (3, 15), (28, 9), (14, 0), (10, 0), (21, 8), (28, 36), (12, 6), (28, 30), (19, 5), (6, 20), (17, 36), (17, 6), (24, 21), (4, 36), (25, 28), (19, 3), (18, 9), (8, 1), (29, 21), (19, 1), (22, 7), (22, 6), (5, 31), (11, 5), (1, 8), (29, 31), (6, 12), (9, 7), (25, 18), (30, 26), (17, 3), (17, 24), (23, 36), (7, 24), (22, 15), (7, 4), (4, 17), (14, 21), (2, 36), (23, 19), (27, 21), (28, 23), (8, 13), (19, 14), (11, 22), (27, 10), (24, 8), (2, 30), (22, 33), (11, 35), (17, 35), (9, 37), (13, 28), (11, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 35), (7, 25), (10, 16), (29, 0), (7, 19), (28, 25), (33, 13), (15, 21), (11, 14), (4, 21), (8, 10), (23, 5), (28, 18), (3, 3), (30, 31), (14, 27), (21, 17), (2, 30), (14, 15), (27, 3), (30, 32), (5, 30), (20, 18), (7, 16), (29, 10), (27, 13), (0, 9), (27, 7), (17, 30), (36, 27), (0, 34), (15, 25), (30, 7), (26, 18), (35, 26), (6, 10), (6, 4), (26, 19), (32, 26), (3, 18), (27, 22), (1, 26), (4, 33), (6, 0), (13, 25), (24, 8), (23, 28), (18, 31), (29, 23), (0, 18), (3, 36), (17, 9), (7, 24), (29, 6), (31, 4), (29, 33), (0, 13), (26, 28), (1, 6), (11, 17), (26, 16), (9, 16), (6, 5), (21, 25), (18, 13), (21, 19), (5, 3), (19, 7), (15, 32), (26, 36), (0, 4), (7, 21), (17, 14), (13, 22), (27, 2), (9, 8), (34, 17), (25, 1), (23, 15), (27, 35), (33, 10), (22, 33), (27, 11), (6, 32), (14, 9), (22, 2), (11, 7), (21, 22), (2, 33), (19, 1), (27, 24), (30, 27), (4, 18), (10, 22), (16, 19), (15, 1), (6, 7), (15, 8), (22, 5), (0, 14), (21, 0), (3, 30), (27, 4), (26, 34), (14, 0), (30, 36), (22, 7), (8, 2), (32, 15), (5, 31), (36, 22), (15, 29), (12, 32), (12, 4), (31, 29), (13, 33), (19, 15), (34, 8), (21, 16), (0, 6), (24, 24), (15, 13), (22, 27), (18, 12), (10, 27), (19, 19), (1, 11), (35, 24), (22, 21), (12, 18), (14, 2), (20, 19), (35, 6), (24, 25), (16, 28), (11, 29), (23, 12), (21, 29), (27, 20), (35, 0), (1, 23), (10, 34), (9, 15), (23, 7), (17, 13), (32, 12), (10, 36), (6, 35), (7, 20), (8, 6), (25, 18), (36, 3), (31, 34), (9, 31), (30, 16), (31, 12), (14, 16), (28, 31), (8, 11), (3, 25), (32, 4), (29, 34), (1, 22), (1, 13), (9, 6), (17, 22), (30, 29), (25, 25), (9, 14), (15, 10), (20, 11), (5, 22), (34, 33), (25, 7), (27, 9), (10, 9), (22, 19), (8, 31), (13, 32), (13, 13), (24, 4), (31, 3), (16, 26), (22, 17), (13, 14), (19, 26), (3, 7), (31, 11), (32, 32), (20, 3), (1, 20), (29, 21), (23, 11), (15, 22), (30, 25), (1, 21), (1, 35), (32, 24), (24, 30), (28, 5), (29, 32), (26, 20), (32, 29), (19, 2), (23, 29), (28, 14), (33, 14), (5, 28), (26, 3), (22, 16), (25, 19), (36, 31), (1, 0), (15, 18), (22, 32), (35, 19), (11, 16), (2, 10), (9, 29), (0, 22), (3, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 6), (12, 12), (7, 17), (21, 27), (11, 1), (15, 8), (11, 27), (16, 9), (13, 28), (28, 11), (10, 14), (3, 11), (25, 9), (21, 22), (6, 16), (0, 16), (27, 0), (2, 16), (16, 23), (3, 19), (6, 19), (19, 13), (11, 14), (15, 2), (14, 0), (20, 11), (25, 27), (16, 28), (17, 26), (20, 26), (14, 15), (11, 22), (23, 20), (9, 10), (4, 21), (7, 13), (21, 4), (23, 3), (14, 23), (11, 10), (10, 21), (18, 29), (5, 11), (3, 9), (9, 3), (30, 28), (26, 28), (27, 17), (22, 18), (12, 7), (13, 14), (26, 24), (0, 29), (28, 10), (1, 18), (4, 20), (15, 19), (5, 15), (9, 7), (14, 4), (21, 29), (16, 30), (29, 4), (5, 18), (2, 2), (21, 25), (1, 10), (0, 1), (21, 19), (1, 7), (4, 11), (4, 5), (25, 29), (19, 0), (13, 4), (14, 8), (24, 15), (13, 25), (30, 16), (21, 9), (29, 9), (16, 8), (24, 2), (6, 29), (15, 16), (11, 31), (29, 14), (19, 18), (9, 29), (8, 30), (14, 27), (11, 8), (3, 30), (28, 19), (2, 11), (17, 24), (24, 5), (21, 15), (10, 29), (24, 18), (4, 14), (1, 20), (12, 2), (8, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 14), (1, 16), (9, 7), (1, 13), (26, 37), (0, 8), (1, 36), (27, 29), (2, 28), (7, 4), (4, 25), (4, 9), (9, 29), (9, 14), (12, 18), (0, 23), (20, 36), (24, 27), (6, 35), (28, 2), (17, 26), (27, 8), (15, 33), (11, 12), (19, 29), (8, 8), (14, 12), (3, 36), (22, 35), (19, 19), (8, 15), (2, 30), (16, 10), (8, 6), (25, 6), (15, 26), (10, 26), (8, 29), (29, 5), (23, 3), (8, 32), (1, 34), (2, 18), (23, 28), (1, 3), (13, 19), (27, 6), (2, 33), (4, 23), (20, 7), (27, 0), (17, 36), (9, 31), (23, 26), (18, 35), (3, 7), (18, 13), (20, 35), (24, 25), (0, 29), (21, 15), (10, 22), (28, 32), (2, 5), (4, 21), (22, 15), (3, 17), (7, 19), (1, 5), (5, 24), (8, 35), (18, 15), (28, 14), (14, 27), (10, 34), (14, 11), (6, 30), (15, 2), (1, 2), (8, 28), (8, 11), (18, 6), (27, 16), (24, 18), (26, 31), (10, 35), (20, 2), (27, 20), (19, 24), (0, 2), (19, 32), (23, 7), (10, 23), (4, 35), (19, 11), (23, 4), (11, 13), (9, 20), (17, 18), (18, 18), (29, 36), (23, 9), (16, 3), (11, 28), (29, 28), (11, 17), (27, 37), (26, 26), (22, 26), (17, 10), (12, 38), (6, 29), (4, 16), (11, 23), (10, 13), (19, 35), (18, 19), (10, 8), (11, 36), (3, 14), (19, 18), (14, 5), (26, 7), (19, 28), (9, 18), (4, 18), (19, 6), (24, 20), (12, 36), (5, 12), (7, 29), (24, 37), (18, 16), (5, 26), (18, 2), (28, 18), (8, 31), (10, 16), (21, 37), (2, 21), (21, 13), (16, 27), (9, 25), (2, 11), (2, 4), (14, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 30), (7, 1), (6, 5), (26, 16), (3, 9), (7, 27), (2, 15), (11, 17), (28, 5), (28, 10), (28, 0), (31, 5), (12, 19), (10, 18), (28, 31), (22, 19), (29, 1), (0, 25), (23, 33), (19, 32), (25, 29), (22, 13), (18, 15), (20, 7), (9, 22), (16, 0), (24, 23), (27, 12), (29, 33), (30, 0), (22, 3), (11, 15), (28, 22), (8, 19), (10, 24), (10, 17), (13, 29), (17, 10), (23, 6), (9, 16), (34, 27), (26, 11), (18, 22), (13, 0), (11, 16), (21, 20), (8, 32), (0, 27), (30, 7), (10, 13), (32, 32), (21, 3), (26, 20), (20, 15), (12, 34), (1, 12), (18, 10), (6, 31), (26, 33), (32, 22), (9, 9), (27, 20), (11, 5), (20, 33), (31, 1), (32, 34), (32, 15), (15, 19), (28, 4), (19, 5), (10, 3), (26, 30), (33, 21), (24, 9), (13, 26), (18, 32), (6, 33), (30, 4), (0, 17), (34, 11), (30, 8), (27, 8), (6, 12), (31, 12), (25, 5), (4, 12), (9, 7), (13, 9), (17, 30), (21, 0), (30, 3), (4, 34), (26, 32), (3, 16), (1, 17), (14, 30), (0, 12), (24, 27), (26, 29), (2, 31), (22, 12), (20, 10), (14, 2), (26, 26), (20, 21), (28, 8), (29, 24), (5, 8), (24, 24), (3, 17), (31, 3), (31, 15), (31, 13), (18, 23), (30, 33), (27, 9), (28, 12), (11, 28), (17, 8), (11, 0), (5, 15), (6, 34), (31, 31), (0, 28), (11, 21), (19, 31), (20, 20), (8, 9), (0, 32), (10, 30), (15, 1), (3, 15), (8, 18), (33, 2), (14, 6), (13, 13), (13, 11), (2, 24), (5, 16), (11, 23), (9, 6), (7, 7), (20, 29), (25, 1), (33, 4), (6, 16), (5, 24), (1, 23), (12, 26), (14, 28), (30, 19), (24, 17), (10, 25), (33, 6), (2, 22), (7, 4), (16, 30), (17, 20), (5, 18), (25, 13), (19, 8), (32, 13), (24, 13), (27, 10), (7, 2), (34, 25), (19, 3), (12, 4), (28, 18), (25, 11), (8, 34), (3, 21), (18, 3), (1, 34), (23, 21), (27, 1), (12, 9), (7, 5), (14, 15), (32, 30), (5, 33), (5, 10), (26, 17), (22, 1), (18, 7), (25, 26), (21, 23), (31, 0), (10, 11), (19, 0), (5, 20), (5, 31), (18, 16), (34, 14), (13, 25), (21, 21), (16, 6), (13, 16), (25, 31), (14, 8), (6, 26), (18, 25), (34, 12), (27, 14), (6, 15), (2, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 0), (16, 11), (5, 0), (21, 31), (10, 12), (16, 25), (18, 4), (9, 11), (6, 27), (16, 13), (21, 25), (14, 25), (15, 23), (13, 9), (16, 21), (9, 33), (20, 1), (7, 10), (29, 0), (14, 1), (2, 22), (7, 15), (29, 14), (23, 25), (7, 14), (23, 21), (11, 27), (10, 27), (13, 29), (14, 17), (0, 3), (28, 28), (2, 30), (28, 6), (28, 20), (4, 20), (9, 29), (21, 33), (22, 22), (3, 30), (23, 28), (17, 1), (25, 8), (14, 18), (7, 0), (23, 18), (14, 16), (28, 27), (29, 29), (22, 17), (22, 26), (23, 8), (2, 7), (29, 13), (6, 5), (17, 21), (29, 12), (7, 3), (29, 26), (23, 27), (27, 26), (15, 2), (23, 5), (0, 20), (27, 21), (4, 2), (18, 23), (29, 8), (13, 4), (7, 16), (13, 31), (12, 22), (4, 25), (2, 16), (29, 5), (17, 0), (26, 8), (11, 16), (1, 1), (2, 8), (5, 17), (23, 11), (12, 29), (24, 28), (4, 22), (7, 18), (26, 18), (6, 16), (22, 6), (5, 20), (14, 28), (4, 31), (18, 13), (25, 23), (10, 26), (1, 33), (13, 14), (17, 24), (22, 31), (22, 21), (27, 32), (25, 22), (20, 19), (11, 5), (0, 23), (18, 1), (0, 14), (17, 15), (26, 16), (28, 18), (20, 16), (26, 21), (28, 12), (23, 26), (14, 8), (26, 5), (24, 25), (5, 30), (23, 20), (21, 13), (17, 9), (24, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 8), (24, 10), (15, 11), (20, 28), (12, 8), (9, 1), (2, 3), (2, 18), (7, 13), (26, 15), (1, 9), (1, 11), (4, 19), (22, 21), (20, 22), (10, 19), (31, 13), (19, 9), (4, 28), (13, 22), (1, 29), (16, 29), (23, 7), (15, 10), (29, 10), (17, 26), (21, 28), (4, 25), (1, 7), (3, 11), (12, 17), (29, 1), (14, 22), (25, 8), (7, 27), (19, 3), (18, 13), (5, 13), (27, 19), (30, 6), (30, 26), (8, 29), (0, 2), (8, 28), (6, 17), (22, 9), (29, 9), (31, 23), (15, 13), (13, 8), (22, 17), (5, 19), (15, 29), (23, 15), (12, 20), (25, 13), (17, 10), (20, 24), (31, 19), (18, 27), (8, 25), (27, 27), (2, 12), (6, 9), (26, 10), (14, 11), (8, 20), (7, 24), (18, 24), (10, 14), (24, 14), (28, 1), (13, 4), (23, 11), (27, 25), (27, 14), (24, 21), (28, 19), (30, 29), (31, 27), (19, 6), (19, 0), (12, 0), (22, 27), (29, 3), (12, 13), (17, 16), (31, 24), (4, 2), (26, 20), (11, 6), (14, 21), (20, 2), (15, 26), (2, 15), (19, 16), (12, 9), (24, 28), (29, 4), (31, 9), (12, 28), (31, 25), (20, 15), (10, 26), (28, 6), (21, 0), (24, 18), (0, 26), (31, 8), (30, 25), (5, 12), (4, 14), (31, 12), (9, 13), (29, 28), (29, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 18), (3, 15), (1, 12), (6, 5), (22, 10), (28, 7), (21, 6), (19, 11), (2, 13), (28, 31), (32, 16), (5, 33), (7, 36), (20, 9), (0, 1), (37, 20), (25, 36), (31, 35), (7, 22), (9, 6), (27, 9), (11, 0), (16, 22), (1, 1), (30, 13), (13, 7), (19, 1), (27, 16), (37, 2), (34, 32), (11, 1), (33, 0), (24, 26), (13, 9), (19, 23), (22, 34), (11, 29), (37, 21), (3, 38), (13, 28), (8, 6), (26, 12), (29, 24), (36, 8), (9, 8), (35, 15), (17, 34), (37, 19), (14, 34), (9, 16), (27, 36), (24, 32), (19, 36), (32, 17), (35, 0), (17, 38), (11, 27), (15, 27), (17, 2), (23, 35), (4, 35), (24, 34), (35, 23), (6, 23), (18, 33), (12, 26), (9, 36), (14, 19), (1, 32), (11, 30), (2, 20), (8, 14), (23, 2), (22, 29), (18, 9), (2, 34), (11, 7), (14, 37), (30, 19), (21, 9), (9, 33), (11, 35), (23, 23), (23, 25), (0, 8), (30, 7), (8, 2), (24, 15), (3, 25), (0, 23), (8, 9), (0, 5), (9, 4), (8, 35), (10, 23), (27, 35), (0, 21), (2, 17), (32, 11), (23, 4), (6, 10), (34, 8), (8, 7), (14, 22), (1, 16), (8, 21), (11, 31), (11, 9), (18, 15), (35, 22), (13, 4), (1, 35), (24, 28), (16, 26), (5, 34), (15, 35), (21, 14), (11, 12), (4, 2), (14, 21), (37, 28), (4, 23), (2, 3), (33, 18), (31, 36), (31, 18), (21, 21), (21, 7), (17, 18), (24, 36), (16, 35), (34, 31), (18, 13), (37, 24), (27, 5), (12, 31), (34, 23), (14, 35), (25, 0), (34, 5), (9, 32), (4, 21), (16, 13), (6, 30), (17, 9), (37, 8), (16, 38), (24, 25), (11, 14), (24, 30), (14, 14), (5, 29), (16, 12), (15, 19), (17, 4), (16, 32), (34, 17), (34, 15), (15, 6), (26, 26), (22, 33), (17, 13), (7, 7), (34, 14), (8, 18), (2, 31), (0, 31), (14, 1), (31, 37), (12, 18), (3, 36), (8, 17), (29, 15), (20, 38), (32, 29), (15, 11), (12, 30), (21, 38), (12, 19), (18, 32), (4, 9), (15, 1), (15, 24), (12, 6), (19, 31), (5, 10), (29, 8), (27, 18), (26, 11), (30, 31), (27, 4), (32, 32), (26, 35), (10, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 14), (25, 21), (10, 14), (28, 13), (31, 9), (27, 17), (21, 13), (27, 15), (9, 10), (20, 9), (13, 14), (2, 24), (5, 17), (1, 7), (8, 21), (9, 20), (30, 7), (29, 28), (21, 14), (21, 8), (30, 20), (9, 13), (24, 30), (14, 7), (23, 5), (18, 13), (10, 27), (17, 6), (30, 17), (22, 24), (19, 7), (9, 25), (14, 2), (31, 3), (31, 6), (25, 5), (11, 19), (32, 1), (29, 20), (27, 25), (3, 11), (12, 12), (5, 13), (5, 21), (2, 26), (10, 2), (6, 12), (9, 21), (24, 1), (31, 29), (4, 23), (1, 4), (10, 22), (4, 22), (31, 22), (15, 2), (16, 12), (15, 7), (15, 28), (1, 1), (13, 19), (1, 2), (8, 23), (20, 15), (3, 22), (14, 4), (22, 2), (7, 20), (18, 18), (9, 26), (6, 26), (18, 17), (5, 9), (4, 29), (27, 21), (26, 14), (24, 0), (25, 26), (21, 5), (12, 23), (3, 23), (16, 25), (21, 7), (13, 18), (7, 24), (0, 22), (12, 11), (15, 15), (23, 26), (20, 13), (25, 17), (19, 12), (23, 9), (29, 9), (12, 15), (3, 24), (10, 25), (1, 18), (7, 27), (12, 17), (29, 2), (0, 26), (28, 26), (12, 1), (2, 1), (30, 25), (25, 25), (24, 12), (0, 27), (18, 23), (13, 2), (6, 5), (20, 12), (25, 6), (23, 13), (14, 29), (19, 16), (28, 27), (30, 23), (13, 5), (8, 30), (21, 21), (17, 7), (8, 27), (21, 30), (4, 26), (16, 7), (12, 8), (28, 16), (7, 14), (28, 5), (17, 5), (7, 16), (2, 11), (14, 17), (20, 23), (32, 9), (1, 29), (16, 2), (4, 5), (18, 12), (22, 17), (3, 28), (16, 29), (6, 15), (1, 0), (28, 20), (24, 9), (17, 1), (16, 28), (28, 12), (3, 25), (15, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 35), (29, 24), (17, 15), (34, 12), (5, 14), (30, 16), (24, 16), (32, 25), (2, 21), (20, 34), (5, 6), (31, 28), (20, 1), (20, 26), (19, 31), (22, 28), (22, 17), (22, 32), (8, 17), (28, 15), (15, 25), (17, 6), (17, 29), (25, 11), (24, 6), (7, 9), (2, 29), (19, 22), (2, 25), (18, 35), (25, 35), (29, 18), (4, 5), (21, 11), (14, 16), (0, 25), (17, 35), (6, 4), (8, 31), (30, 7), (11, 1), (2, 2), (31, 34), (22, 13), (7, 25), (19, 21), (28, 6), (28, 4), (34, 23), (5, 0), (22, 12), (27, 4), (19, 29), (12, 11), (6, 18), (12, 10), (7, 8), (11, 7), (11, 27), (6, 6), (33, 11), (33, 32), (10, 21), (30, 33), (31, 16), (19, 0), (21, 17), (7, 30), (5, 22), (1, 2), (0, 4), (13, 3), (8, 19), (14, 18), (11, 14), (11, 28), (28, 0), (6, 24), (8, 32), (16, 20), (20, 19), (21, 34), (18, 19), (31, 33), (9, 31), (14, 31), (19, 20), (23, 26), (24, 29), (17, 17), (7, 33), (9, 25), (30, 21), (1, 33), (25, 3), (28, 27), (27, 19), (9, 22), (17, 10), (24, 0), (32, 5), (29, 7), (14, 19), (16, 10), (17, 1), (19, 35), (21, 20), (18, 31), (2, 32), (0, 35), (10, 28), (16, 28), (32, 2), (4, 12), (4, 3), (1, 34), (21, 25), (32, 32), (31, 18), (13, 16), (14, 33), (30, 27), (33, 1), (12, 16), (11, 18), (31, 10), (32, 20), (26, 15), (25, 1), (27, 2), (3, 23), (26, 6), (3, 29), (13, 29), (3, 6), (31, 12), (9, 10), (24, 19), (26, 3), (34, 19), (24, 14), (4, 16), (24, 2), (7, 15), (11, 3), (19, 28), (18, 18), (12, 32), (21, 4), (18, 28), (15, 10), (18, 17), (22, 9), (22, 6), (17, 9), (20, 9), (10, 17), (14, 28), (6, 25), (8, 23), (16, 1), (20, 28), (0, 14), (33, 28), (24, 21), (7, 24), (17, 14), (17, 33), (28, 32), (28, 14), (14, 12), (25, 28), (17, 27), (14, 2), (7, 29), (11, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 10), (32, 17), (27, 1), (29, 10), (3, 12), (29, 28), (6, 33), (11, 26), (30, 12), (13, 28), (23, 15), (33, 35), (1, 2), (23, 12), (19, 0), (2, 6), (31, 4), (20, 24), (9, 5), (28, 28), (18, 1), (6, 24), (21, 9), (30, 2), (28, 36), (27, 15), (15, 29), (18, 15), (34, 5), (18, 24), (10, 11), (1, 13), (11, 29), (11, 14), (26, 17), (20, 19), (22, 25), (19, 2), (2, 26), (2, 13), (12, 15), (1, 29), (24, 16), (25, 10), (21, 29), (31, 16), (3, 18), (21, 15), (11, 22), (13, 31), (10, 12), (24, 22), (13, 25), (10, 14), (9, 25), (1, 24), (4, 22), (3, 3), (8, 36), (11, 23), (20, 25), (32, 2), (16, 27), (34, 2), (16, 22), (1, 35), (31, 22), (18, 20), (28, 11), (25, 6), (27, 27), (28, 26), (2, 5), (33, 9), (21, 3), (23, 30), (25, 36), (23, 11), (19, 18), (10, 25), (20, 2), (8, 34), (30, 11), (32, 0), (6, 16), (27, 28), (18, 6), (9, 12), (4, 26), (7, 8), (16, 13), (28, 3), (28, 29), (27, 19), (31, 15), (33, 31), (24, 34), (11, 6), (24, 11), (32, 6), (13, 20), (0, 28), (1, 9), (27, 18), (10, 19), (21, 21), (18, 21), (20, 18), (28, 15), (9, 1), (7, 34), (27, 24), (7, 26), (21, 10), (30, 10), (23, 31), (10, 13), (7, 3), (20, 12), (12, 3), (27, 10), (34, 32), (23, 13), (1, 19), (4, 0), (8, 9), (15, 0), (27, 21), (16, 1), (17, 2), (6, 2), (18, 7), (21, 11), (20, 27), (14, 9), (23, 1), (34, 4), (0, 33), (32, 31), (30, 15), (19, 10), (28, 2), (16, 14), (2, 0), (18, 18), (33, 26), (24, 32), (1, 31), (17, 19), (3, 30), (17, 15), (22, 34), (34, 14), (29, 11), (17, 9), (34, 25), (3, 21), (22, 24), (23, 21), (9, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 29), (9, 0), (25, 20), (14, 22), (27, 31), (2, 0), (8, 26), (11, 14), (9, 18), (30, 13), (8, 2), (14, 2), (34, 19), (1, 25), (21, 9), (8, 10), (30, 8), (8, 31), (20, 7), (23, 17), (22, 30), (22, 13), (26, 9), (10, 25), (9, 15), (14, 32), (6, 26), (30, 30), (3, 8), (4, 23), (0, 27), (10, 13), (7, 23), (4, 20), (5, 13), (15, 24), (26, 23), (30, 14), (34, 5), (19, 12), (19, 6), (21, 28), (30, 26), (0, 26), (9, 29), (2, 22), (2, 8), (11, 21), (8, 13), (23, 10), (13, 28), (4, 25), (15, 15), (2, 3), (14, 20), (12, 28), (13, 15), (30, 0), (33, 26), (32, 27), (8, 0), (19, 19), (22, 25), (32, 21), (6, 13), (23, 3), (31, 29), (13, 5), (9, 10), (28, 2), (2, 33), (13, 21), (26, 5), (29, 14), (15, 1), (17, 28), (17, 19), (3, 23), (29, 12), (7, 24), (3, 19), (23, 0), (2, 13), (17, 3), (20, 3), (22, 33), (7, 7), (23, 22), (15, 25), (21, 25), (29, 24), (9, 7), (20, 19), (16, 7), (10, 10), (12, 7), (17, 22), (17, 29), (3, 5), (5, 26), (21, 7), (23, 15), (16, 22), (32, 12), (26, 6), (29, 26), (6, 31), (33, 15), (13, 9), (0, 4), (3, 11), (5, 11), (0, 12), (27, 22), (2, 20), (24, 30), (34, 22), (19, 15), (0, 7), (14, 14), (18, 31), (26, 30), (14, 23), (24, 14), (14, 21), (28, 9), (20, 20), (2, 32), (14, 26), (16, 12), (13, 32), (5, 0), (22, 11), (33, 31), (32, 15), (25, 30), (29, 31), (32, 6), (31, 27), (12, 8), (5, 1), (3, 3), (28, 29), (14, 5), (21, 17), (11, 29), (18, 13), (9, 24), (18, 28), (31, 18), (20, 33), (2, 9), (6, 20), (9, 13), (21, 21), (10, 0), (6, 27), (22, 17), (24, 7), (23, 1), (27, 17), (25, 6), (15, 31), (3, 30), (33, 21), (29, 28), (28, 10), (18, 21), (18, 17), (3, 0), (8, 24), (16, 14), (15, 30), (21, 29), (16, 24), (10, 3), (10, 30), (22, 29), (25, 17), (7, 9), (16, 28), (5, 21), (9, 33), (21, 26), (32, 13), (31, 14), (14, 24), (29, 8), (13, 1), (12, 25), (1, 19), (17, 31), (30, 21), (1, 5), (16, 1), (4, 3), (34, 32), (8, 20), (16, 3), (32, 17), (0, 13), (2, 31), (9, 3), (11, 30), (29, 6), (21, 1), (18, 8), (5, 6), (4, 1), (25, 8), (14, 31), (11, 23), (22, 4), (28, 27), (30, 29), (24, 10), (16, 25), (30, 11), (9, 31), (30, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 7), (9, 5), (20, 0), (29, 36), (25, 4), (3, 0), (14, 19), (28, 8), (22, 7), (11, 36), (14, 34), (15, 27), (17, 1), (8, 32), (1, 27), (5, 24), (19, 15), (7, 0), (24, 7), (30, 15), (13, 18), (14, 0), (27, 2), (6, 27), (26, 30), (26, 7), (15, 6), (11, 32), (5, 8), (17, 19), (7, 31), (23, 27), (15, 1), (25, 31), (23, 26), (19, 19), (28, 26), (10, 5), (22, 28), (5, 35), (1, 4), (28, 17), (24, 28), (4, 0), (18, 9), (21, 21), (12, 25), (6, 13), (16, 33), (9, 8), (11, 31), (20, 10), (11, 5), (11, 12), (11, 20), (12, 12), (20, 24), (13, 6), (0, 34), (18, 22), (23, 23), (2, 36), (7, 23), (16, 25), (7, 30), (30, 20), (9, 3), (6, 18), (15, 21), (14, 9), (4, 22), (15, 36), (29, 16), (8, 17), (19, 18), (10, 6), (1, 22), (4, 18), (22, 21), (12, 27), (21, 33), (16, 20), (14, 16), (7, 19), (20, 23), (22, 23), (11, 24), (3, 20), (25, 10), (6, 33), (28, 11), (6, 36), (26, 12), (28, 2), (27, 7), (12, 17), (30, 1), (12, 31), (22, 33), (2, 26), (10, 3), (26, 24), (14, 22), (15, 19), (0, 25), (17, 28), (26, 3), (7, 18), (15, 3), (0, 27), (25, 24), (16, 6), (2, 2), (19, 5), (10, 7), (13, 11), (10, 1), (4, 24), (11, 3), (21, 0), (14, 35), (5, 22), (30, 6), (14, 33), (18, 34), (1, 36), (5, 30), (24, 35), (7, 28), (2, 30), (1, 17), (5, 18), (4, 34), (21, 28), (8, 6), (16, 36), (17, 9), (18, 14), (8, 5), (23, 12), (23, 9), (10, 19), (8, 27), (23, 1), (19, 28), (17, 30), (2, 35), (5, 10), (1, 1), (17, 6), (9, 15), (5, 31), (5, 7), (0, 24), (1, 6), (22, 29), (24, 19), (22, 6), (1, 13), (9, 34), (7, 27), (23, 25), (3, 26), (14, 20), (0, 23), (10, 28), (5, 9), (26, 35), (1, 8), (20, 26), (30, 4), (15, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 16), (35, 29), (1, 22), (34, 8), (13, 25), (31, 13), (11, 8), (30, 33), (16, 3), (4, 32), (22, 17), (32, 32), (17, 16), (28, 15), (7, 16), (24, 18), (5, 14), (33, 33), (12, 15), (34, 5), (37, 17), (0, 30), (12, 24), (9, 6), (11, 7), (27, 30), (17, 14), (7, 11), (19, 14), (31, 12), (34, 0), (35, 23), (21, 8), (27, 23), (24, 25), (23, 22), (26, 30), (30, 16), (25, 19), (11, 0), (14, 24), (31, 24), (28, 26), (13, 11), (32, 30), (37, 14), (31, 29), (28, 18), (20, 11), (15, 20), (31, 20), (12, 28), (7, 19), (3, 3), (13, 14), (22, 24), (25, 30), (12, 7), (35, 30), (19, 28), (33, 28), (25, 9), (32, 29), (37, 18), (28, 22), (30, 29), (3, 32), (24, 28), (12, 17), (26, 21), (14, 20), (12, 30), (9, 30), (36, 26), (5, 31), (8, 24), (14, 32), (28, 16), (20, 13), (35, 19), (32, 3), (0, 32), (23, 18), (11, 10), (1, 13), (30, 2), (8, 25), (13, 32), (24, 12), (6, 30), (26, 24), (31, 22), (27, 2), (1, 21), (18, 22), (18, 0), (8, 8), (5, 15), (11, 2), (27, 25), (11, 29), (23, 32), (13, 4), (17, 13), (29, 26), (14, 1), (26, 22), (21, 29), (16, 8), (7, 4), (19, 22), (1, 14), (30, 20), (19, 2), (3, 17), (11, 23), (6, 3), (8, 6), (22, 25), (37, 3), (2, 17), (33, 21), (28, 32), (2, 10), (16, 7), (11, 9), (15, 22), (9, 10), (28, 21), (15, 12), (20, 26), (30, 30), (0, 25), (7, 30), (36, 2), (1, 30), (35, 17), (20, 18), (0, 10), (13, 2), (6, 19), (24, 13), (20, 8), (23, 23), (19, 0), (19, 7), (8, 26), (6, 26), (35, 32), (4, 33), (14, 31), (7, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 32x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 20), (8, 33), (4, 35), (11, 10), (23, 36), (31, 6), (24, 35), (23, 33), (19, 27), (1, 17), (15, 33), (7, 17), (24, 11), (31, 12), (16, 12), (31, 21), (29, 15), (17, 10), (30, 1), (4, 8), (21, 38), (28, 11), (26, 28), (28, 36), (6, 30), (22, 32), (30, 22), (18, 38), (25, 6), (24, 4), (22, 22), (14, 19), (18, 21), (26, 13), (26, 25), (15, 8), (9, 32), (17, 26), (12, 1), (14, 12), (10, 22), (5, 4), (3, 31), (14, 4), (4, 21), (20, 1), (12, 2), (0, 7), (2, 35), (22, 11), (29, 29), (23, 25), (13, 38), (26, 36), (17, 33), (18, 26), (10, 28), (23, 3), (13, 11), (10, 33), (1, 28), (2, 31), (20, 9), (15, 7), (28, 30), (12, 34), (12, 28), (8, 12), (6, 21), (23, 4), (10, 7), (16, 38), (25, 7), (15, 23), (31, 10), (11, 25), (18, 20), (15, 13), (12, 29), (13, 33), (0, 19), (12, 4), (12, 12), (28, 15), (25, 25), (12, 15), (11, 3), (10, 31), (28, 25), (9, 27), (6, 2), (29, 33), (22, 30), (12, 8), (1, 30), (17, 32), (10, 9), (28, 20), (10, 30), (23, 16), (16, 34), (0, 3), (11, 31), (7, 31), (25, 30), (22, 16), (12, 26), (25, 9), (16, 27), (20, 10), (6, 29), (11, 14), (17, 23), (18, 28), (19, 10), (13, 24), (15, 0), (30, 37), (23, 38), (14, 13), (7, 11), (21, 29), (27, 29), (31, 26), (2, 34), (6, 38), (5, 36), (10, 32), (24, 14), (18, 25), (3, 33), (14, 17), (23, 22), (7, 2), (17, 37), (26, 23), (10, 10), (18, 33), (3, 13), (3, 24), (21, 30), (20, 26), (25, 2), (23, 19), (17, 9), (4, 4), (3, 4), (28, 26), (11, 30), (29, 2), (24, 8), (31, 19), (21, 22), (15, 27), (14, 8), (17, 22), (28, 9), (23, 34), (12, 9), (17, 28), (16, 37)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 2), (35, 12), (21, 1), (36, 28), (30, 13), (32, 4), (9, 28), (7, 24), (27, 27), (0, 32), (4, 2), (19, 34), (27, 18), (22, 29), (1, 32), (6, 13), (23, 3), (25, 11), (20, 13), (19, 20), (16, 5), (31, 30), (32, 3), (25, 20), (35, 24), (1, 17), (36, 13), (13, 16), (23, 9), (26, 33), (11, 17), (29, 27), (6, 17), (28, 3), (6, 14), (3, 7), (24, 0), (15, 33), (18, 34), (31, 13), (16, 27), (20, 25), (22, 23), (18, 11), (24, 6), (2, 23), (27, 28), (35, 16), (20, 15), (19, 9), (11, 32), (5, 31), (9, 18), (17, 24), (17, 16), (3, 20), (16, 32), (11, 1), (13, 6), (34, 23), (29, 26), (6, 10), (12, 26), (26, 16), (0, 21), (36, 15), (2, 14), (28, 12), (25, 28), (10, 18), (8, 35), (33, 1), (27, 19), (6, 1), (3, 25), (3, 35), (13, 30), (1, 15), (0, 6), (9, 8), (28, 35), (8, 15), (27, 35), (7, 19), (10, 7), (15, 20), (17, 31), (13, 10), (13, 22), (15, 30), (8, 28), (7, 2), (16, 20), (11, 27), (29, 14), (21, 18), (29, 7), (20, 30), (14, 23), (22, 34), (36, 26), (4, 21), (34, 20), (17, 27), (31, 28), (12, 21), (13, 2), (13, 19), (10, 23), (9, 21), (10, 20), (22, 18), (21, 4), (25, 16), (12, 30), (21, 31), (26, 32), (9, 32), (9, 22), (23, 16), (24, 24), (35, 15), (24, 13), (3, 34), (6, 28), (9, 20), (16, 10), (6, 11), (4, 27), (25, 34), (15, 5), (33, 23), (0, 28), (8, 8), (17, 23), (27, 15), (9, 33), (11, 9), (30, 5), (12, 34), (15, 27), (14, 13), (36, 2), (13, 7), (18, 29), (31, 14), (26, 27), (14, 28), (11, 13), (31, 17), (27, 10), (35, 22), (22, 31), (9, 19), (25, 23), (16, 35), (21, 34), (18, 2), (34, 0), (19, 17), (24, 16), (14, 0), (15, 10), (3, 19), (36, 8), (27, 8), (17, 28), (4, 30), (17, 29), (13, 12), (2, 17), (6, 0), (24, 2), (23, 6), (36, 27), (13, 5), (27, 16), (14, 11), (32, 24), (19, 3), (12, 20), (32, 14), (36, 32), (10, 22), (21, 32), (11, 29), (24, 30), (7, 35), (23, 4), (0, 15), (34, 13), (19, 31), (28, 24), (11, 14), (18, 17), (4, 22), (27, 11), (14, 21), (16, 34), (23, 29), (23, 19), (6, 34), (21, 25), (32, 19), (26, 26), (25, 13), (35, 34), (1, 33), (2, 9), (28, 19), (8, 19), (16, 26), (7, 21), (3, 21), (28, 9), (36, 30), (6, 23), (2, 18), (27, 2), (32, 15), (24, 19), (24, 35), (19, 15), (17, 6), (14, 34), (3, 8), (26, 4), (6, 30), (17, 15), (19, 25), (6, 5), (11, 8), (28, 14), (21, 10), (0, 4), (15, 35), (22, 15), (19, 2), (30, 23), (24, 11), (33, 10), (33, 6), (8, 21), (29, 15), (18, 28), (18, 3), (25, 24), (13, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 38x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 9), (8, 29), (6, 29), (3, 28), (29, 28), (20, 0), (4, 29), (2, 5), (24, 6), (7, 19), (3, 20), (15, 17), (24, 21), (15, 15), (20, 18), (9, 11), (28, 30), (0, 8), (26, 10), (26, 30), (21, 13), (14, 0), (9, 28), (25, 24), (18, 31), (24, 4), (1, 20), (14, 16), (16, 16), (11, 26), (15, 5), (31, 16), (33, 30), (16, 24), (3, 24), (10, 25), (22, 19), (2, 16), (16, 3), (26, 25), (10, 18), (36, 4), (0, 14), (8, 18), (36, 32), (3, 17), (35, 9), (5, 32), (10, 8), (5, 23), (32, 11), (28, 20), (4, 21), (3, 11), (12, 26), (3, 18), (28, 26), (21, 8), (24, 29), (16, 15), (25, 23), (36, 0), (33, 27), (36, 9), (31, 6), (6, 23), (3, 25), (9, 13), (8, 0), (19, 18), (23, 2), (13, 4), (28, 17), (14, 5), (2, 9), (21, 18), (18, 3), (18, 20), (37, 2), (12, 31), (33, 22), (2, 30), (11, 6), (13, 0), (22, 3), (27, 12), (13, 5), (17, 23), (34, 26), (11, 16), (11, 1), (5, 19), (19, 3), (16, 31), (12, 29), (3, 15), (27, 25), (30, 10), (2, 7), (12, 10), (25, 9), (33, 25), (2, 28), (37, 22), (10, 3), (34, 23), (13, 11), (20, 30), (22, 17), (4, 13), (33, 16), (16, 4), (21, 14), (22, 16), (3, 0), (30, 6), (27, 22), (2, 14), (10, 29), (13, 21), (6, 6), (34, 24), (5, 10), (15, 27), (22, 29), (20, 9), (18, 1), (23, 22), (16, 19), (19, 10), (17, 16), (0, 19), (11, 29), (2, 4), (14, 30), (19, 26), (27, 27), (31, 28), (28, 19), (30, 5), (25, 7), (9, 6), (30, 0), (19, 29), (14, 22), (9, 14), (7, 3), (3, 32), (4, 30), (2, 21), (30, 11), (5, 26), (20, 7), (7, 22), (27, 19), (32, 31), (9, 12), (2, 22), (35, 1), (33, 21), (36, 26), (9, 4), (0, 9), (16, 27), (5, 8), (21, 4), (9, 26), (37, 29), (13, 18), (2, 12), (30, 22), (11, 13), (4, 32), (11, 32), (36, 16), (14, 1), (12, 30), (18, 6), (36, 29), (33, 6), (35, 22), (17, 31), (1, 15), (30, 20), (0, 21), (18, 10), (2, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 9), (29, 27), (5, 8), (6, 1), (30, 18), (7, 10), (9, 30), (21, 2), (6, 14), (14, 1), (4, 2), (18, 18), (10, 14), (25, 20), (12, 30), (16, 24), (30, 0), (24, 13), (29, 17), (12, 12), (26, 1), (6, 7), (21, 26), (22, 5), (5, 32), (27, 29), (18, 17), (1, 17), (0, 15), (8, 26), (3, 30), (29, 26), (13, 3), (18, 26), (27, 27), (6, 3), (4, 10), (10, 1), (4, 7), (17, 3), (10, 22), (11, 27), (23, 20), (21, 8), (10, 26), (19, 11), (28, 3), (7, 21), (12, 17), (3, 25), (8, 19), (22, 32), (12, 11), (26, 31), (16, 21), (20, 22), (8, 28), (25, 22), (12, 13), (27, 21), (30, 16), (15, 1), (15, 23), (9, 9), (22, 27), (19, 27), (6, 9), (2, 10), (5, 3), (1, 18), (1, 13), (22, 3), (16, 4), (11, 7), (14, 24), (26, 16), (30, 1), (0, 17), (15, 9), (10, 17), (10, 6), (15, 0), (22, 30), (23, 23), (14, 19), (18, 8), (11, 18), (24, 8), (26, 22), (28, 0), (13, 6), (4, 18), (29, 14), (1, 10), (9, 19), (11, 0), (20, 0), (25, 7), (19, 32), (25, 3), (20, 27), (14, 32), (20, 25), (18, 16), (12, 3), (7, 3), (1, 2), (27, 2), (20, 30), (1, 26), (19, 18), (4, 4), (17, 28), (1, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 11), (24, 15), (19, 1), (14, 22), (20, 12), (4, 4), (0, 25), (26, 33), (22, 5), (2, 24), (12, 25), (4, 26), (8, 1), (4, 11), (1, 10), (24, 17), (9, 4), (19, 3), (19, 17), (4, 19), (2, 19), (25, 16), (20, 5), (24, 31), (14, 7), (15, 30), (1, 34), (19, 14), (22, 14), (6, 1), (28, 18), (19, 13), (11, 19), (29, 6), (17, 32), (20, 15), (22, 8), (21, 28), (30, 20), (15, 24), (10, 6), (28, 4), (21, 15), (10, 16), (23, 33), (21, 18), (0, 35), (18, 36), (11, 30), (1, 37), (25, 23), (25, 14), (24, 27), (15, 29), (13, 34), (30, 8), (13, 3), (12, 19), (3, 2), (0, 26), (21, 36), (23, 37), (1, 33), (11, 34), (24, 19), (11, 13), (25, 7), (21, 1), (12, 14), (30, 1), (30, 36), (3, 10), (22, 24), (6, 28), (23, 9), (25, 0), (10, 31), (30, 30), (0, 16), (22, 19), (17, 30), (29, 34), (13, 16), (13, 21), (4, 32), (11, 4), (24, 32), (14, 13), (22, 35), (13, 8), (16, 0), (19, 6), (18, 34), (18, 23), (25, 12), (10, 12), (21, 0), (5, 29), (29, 14), (10, 34), (18, 26), (21, 31), (26, 3), (4, 28), (25, 29), (0, 19), (12, 18), (16, 31), (5, 11), (25, 8), (8, 2), (2, 4), (10, 25), (18, 15), (9, 34), (3, 27), (28, 21), (26, 28), (24, 22), (18, 22), (18, 7), (5, 13), (5, 2), (25, 26), (17, 33), (0, 30), (10, 10), (29, 5), (7, 35), (15, 34), (4, 36), (10, 1), (7, 16), (17, 19), (28, 8), (25, 37), (2, 29), (30, 32), (8, 15), (18, 25), (4, 9), (5, 7), (3, 36), (1, 30), (2, 8), (11, 11), (30, 27), (29, 24), (19, 19), (4, 3), (20, 26), (5, 19), (18, 35), (6, 31), (0, 21), (2, 27), (1, 36), (14, 20), (17, 35), (6, 10), (13, 36), (14, 27), (12, 8), (16, 16), (3, 37), (9, 23), (27, 30), (6, 36), (19, 22), (11, 14), (29, 18), (3, 24), (9, 2), (19, 25), (0, 6), (21, 5), (25, 28), (18, 19), (10, 11), (22, 32), (18, 6), (24, 18), (19, 27), (16, 19), (12, 12), (4, 18), (26, 19), (20, 17), (2, 6), (29, 22), (9, 33), (12, 23), (21, 19), (6, 27), (4, 25), (22, 10), (18, 33), (0, 33), (26, 9), (4, 2), (20, 30), (27, 1), (14, 31), (6, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 5), (8, 12), (19, 4), (18, 27), (18, 11), (32, 15), (32, 28), (13, 27), (4, 23), (11, 9), (37, 26), (16, 4), (34, 1), (6, 23), (1, 23), (25, 0), (20, 7), (18, 0), (24, 25), (12, 15), (15, 24), (26, 1), (17, 11), (18, 25), (30, 0), (35, 27), (28, 17), (12, 16), (9, 0), (7, 27), (24, 5), (15, 26), (18, 16), (4, 21), (16, 16), (5, 7), (12, 20), (9, 12), (31, 26), (11, 16), (3, 6), (7, 0), (11, 11), (24, 11), (7, 25), (2, 4), (31, 6), (8, 24), (0, 27), (30, 26), (27, 0), (34, 19), (5, 20), (24, 19), (15, 12), (19, 21), (22, 25), (27, 3), (31, 24), (31, 12), (13, 3), (18, 21), (26, 3), (17, 16), (7, 10), (1, 14), (23, 25), (37, 8), (12, 4), (22, 21), (6, 25), (23, 2), (5, 18), (32, 10), (20, 16), (20, 13), (17, 12), (27, 18), (18, 12), (1, 2), (7, 19), (1, 1), (26, 25), (13, 10), (7, 17), (36, 11), (35, 20), (17, 0), (19, 26), (27, 15), (18, 24), (20, 15), (28, 27), (18, 22), (35, 21), (32, 22), (36, 8), (3, 4), (13, 25), (23, 12), (11, 12), (21, 3), (37, 15), (30, 13), (35, 16), (17, 6), (29, 16), (9, 23), (12, 21), (20, 25), (14, 27), (7, 3), (10, 13), (6, 3), (34, 3), (16, 17), (12, 11), (35, 4), (18, 2), (32, 27), (33, 7), (31, 29), (15, 8), (36, 15), (26, 4), (22, 27), (33, 15), (24, 0), (0, 25), (7, 11), (27, 24), (37, 17), (0, 5), (1, 20), (24, 16), (10, 2), (8, 5), (19, 9), (8, 16), (7, 26), (19, 23), (1, 4), (14, 13), (21, 24), (8, 17), (10, 4), (8, 4), (36, 21), (4, 18), (8, 13), (13, 29), (6, 7), (2, 18), (31, 20), (31, 27), (22, 15), (7, 24), (26, 24), (16, 2), (32, 3), (36, 17), (12, 5), (14, 18), (16, 19), (2, 17), (10, 1), (8, 14), (5, 10), (20, 18), (17, 8), (21, 0), (4, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 36x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 31), (3, 1), (5, 13), (11, 13), (13, 4), (25, 28), (24, 26), (3, 11), (26, 21), (4, 8), (4, 22), (12, 15), (25, 13), (6, 17), (21, 31), (12, 17), (29, 15), (28, 30), (26, 7), (32, 32), (35, 8), (3, 30), (5, 25), (2, 6), (10, 1), (12, 13), (18, 24), (6, 1), (23, 3), (35, 5), (13, 18), (9, 30), (15, 6), (34, 8), (28, 4), (16, 26), (18, 11), (29, 30), (19, 5), (16, 22), (18, 5), (15, 13), (12, 3), (18, 7), (35, 28), (10, 21), (10, 22), (33, 6), (1, 14), (5, 14), (31, 22), (33, 3), (31, 1), (8, 27), (4, 18), (20, 12), (14, 28), (29, 12), (31, 21), (10, 4), (25, 12), (28, 19), (6, 16), (31, 2), (7, 20), (30, 10), (2, 32), (22, 18), (8, 13), (30, 32), (6, 28), (24, 9), (5, 23), (17, 0), (17, 27), (7, 4), (33, 25), (20, 27), (32, 14), (8, 8), (34, 27), (25, 14), (19, 2), (13, 31), (28, 20), (17, 1), (0, 4), (33, 4), (2, 2), (8, 26), (30, 14), (20, 7), (20, 13), (17, 15), (11, 21), (3, 5), (3, 6), (16, 8), (16, 23), (12, 7), (31, 3), (8, 7), (24, 24), (30, 31), (5, 12), (28, 5), (30, 9), (26, 5), (11, 14), (28, 16), (17, 22), (26, 27), (10, 30), (27, 1), (10, 2), (31, 29), (14, 2), (19, 1), (33, 14), (21, 19), (24, 7), (14, 16), (23, 19), (8, 15), (6, 2), (5, 11), (28, 26), (6, 23), (20, 28), (21, 30), (32, 25), (11, 12), (2, 16), (29, 10), (12, 10), (16, 15), (22, 17), (5, 7), (35, 27), (32, 10), (28, 25), (13, 30), (27, 3), (22, 31), (17, 24), (9, 3), (3, 25), (21, 4), (33, 16), (32, 28), (8, 1), (10, 23), (16, 1), (20, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 21), (7, 1), (25, 5), (6, 0), (20, 28), (23, 3), (0, 21), (21, 29), (29, 14), (16, 22), (4, 22), (35, 4), (0, 1), (17, 28), (18, 18), (3, 23), (8, 31), (15, 22), (10, 4), (8, 11), (13, 12), (15, 1), (11, 0), (10, 21), (35, 17), (9, 9), (6, 7), (23, 32), (33, 14), (24, 9), (2, 10), (6, 10), (14, 4), (26, 26), (34, 13), (21, 16), (29, 5), (2, 25), (17, 13), (12, 20), (25, 16), (22, 17), (13, 14), (17, 14), (17, 7), (13, 20), (3, 21), (12, 19), (21, 20), (12, 7), (1, 5), (19, 10), (5, 33), (29, 29), (24, 15), (24, 24), (26, 11), (21, 19), (15, 24), (13, 0), (31, 26), (31, 24), (0, 32), (10, 1), (6, 13), (22, 33), (15, 26), (24, 8), (29, 21), (24, 11), (2, 20), (3, 29), (10, 28), (1, 29), (3, 26), (2, 30), (2, 31), (9, 16), (22, 23), (25, 29), (0, 15), (11, 1), (0, 18), (14, 22), (12, 25), (2, 28), (6, 18), (1, 20), (2, 6), (15, 4), (33, 24), (21, 6), (23, 5), (19, 18), (10, 7), (24, 29), (0, 2), (20, 24), (26, 23), (16, 11), (3, 6), (22, 7), (12, 5), (23, 31), (24, 14), (2, 18), (6, 2), (35, 0), (1, 18), (26, 7), (1, 17), (11, 19), (24, 30), (11, 16), (31, 7), (7, 31), (26, 29), (31, 16), (32, 20), (21, 31), (33, 13), (28, 27), (18, 17), (1, 26), (18, 16), (31, 29), (28, 32), (3, 20), (28, 23), (4, 13), (0, 14), (19, 6), (34, 29), (32, 14), (0, 11), (21, 0), (2, 2), (21, 9), (11, 31), (21, 26), (4, 20), (25, 25), (4, 28), (34, 33), (23, 19), (23, 11), (6, 27), (34, 5), (33, 28), (33, 0), (14, 1), (27, 18), (16, 27), (27, 23), (21, 5), (1, 2), (31, 32), (28, 14), (5, 12), (13, 4), (8, 21), (1, 1), (34, 28), (29, 7), (5, 22), (14, 3), (25, 32), (31, 31), (16, 6), (11, 5), (14, 7), (1, 8), (11, 2), (18, 10), (11, 26), (3, 10), (14, 34), (35, 14), (24, 28), (18, 32), (12, 10), (25, 13), (17, 0), (4, 5), (26, 14), (34, 18), (19, 33), (20, 20), (20, 4), (16, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 25), (29, 25), (1, 8), (23, 25), (29, 12), (19, 22), (32, 26), (34, 28), (3, 28), (23, 21), (22, 21), (21, 3), (31, 22), (6, 28), (32, 7), (34, 30), (33, 10), (20, 25), (4, 11), (5, 22), (4, 8), (6, 7), (3, 11), (21, 23), (19, 2), (20, 5), (27, 17), (15, 23), (31, 5), (23, 16), (27, 21), (23, 7), (1, 27), (29, 16), (34, 14), (35, 16), (11, 1), (4, 13), (22, 2), (24, 12), (0, 29), (17, 1), (14, 17), (28, 17), (0, 15), (7, 28), (33, 19), (28, 3), (25, 23), (17, 11), (25, 27), (14, 24), (5, 11), (1, 14), (32, 17), (20, 6), (26, 0), (4, 16), (6, 27), (29, 8), (8, 25), (22, 28), (28, 15), (13, 7), (2, 28), (11, 11), (35, 2), (5, 16), (0, 5), (7, 15), (35, 0), (24, 4), (5, 26), (14, 20), (28, 28), (28, 21), (30, 28), (10, 24), (21, 22), (35, 3), (16, 13), (21, 24), (15, 25), (19, 30), (2, 1), (1, 6), (4, 26), (18, 19), (9, 24), (35, 6), (4, 25), (12, 8), (4, 1), (30, 8), (19, 27), (8, 28), (15, 17), (4, 18), (20, 12), (10, 1), (31, 11), (6, 29), (25, 7), (5, 28), (2, 22), (27, 10), (14, 15), (25, 19), (22, 24), (20, 8), (34, 6), (12, 12), (0, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 34x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 24), (1, 20), (0, 6), (19, 6), (32, 12), (10, 21), (22, 29), (21, 3), (15, 25), (0, 25), (29, 20), (28, 14), (33, 15), (20, 20), (6, 25), (25, 3), (24, 30), (22, 1), (29, 6), (5, 5), (1, 9), (10, 26), (15, 20), (10, 1), (3, 4), (9, 2), (16, 24), (23, 7), (9, 11), (22, 4), (16, 27), (6, 27), (19, 7), (16, 23), (14, 12), (12, 2), (8, 12), (23, 22), (23, 5), (3, 8), (28, 9), (28, 25), (14, 26), (21, 9), (32, 6), (14, 22), (30, 29), (33, 13), (0, 27), (6, 20), (25, 11), (17, 23), (1, 7), (31, 4), (27, 30), (0, 14), (19, 21), (32, 1), (32, 22), (24, 21), (22, 28), (31, 22), (6, 14), (30, 23), (3, 25), (10, 13), (0, 13), (6, 5), (23, 9), (26, 4), (0, 3), (22, 25), (27, 21), (9, 3), (10, 15), (21, 28), (8, 7), (6, 12), (24, 25), (29, 10), (19, 15), (0, 7), (33, 27), (12, 22), (20, 28), (6, 1), (15, 18), (5, 14), (1, 28), (15, 13), (15, 19), (14, 13), (26, 30), (23, 23), (23, 14), (7, 11), (27, 5), (15, 1), (18, 14), (20, 24), (16, 29), (25, 4), (7, 2), (4, 24), (33, 12), (8, 30), (30, 27), (30, 4), (19, 25), (4, 19), (28, 18), (20, 14), (4, 29), (16, 14), (22, 8), (22, 5), (11, 22), (13, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 29), (22, 2), (21, 11), (28, 28), (21, 17), (29, 24), (35, 12), (0, 20), (18, 2), (1, 6), (28, 5), (29, 12), (7, 11), (24, 27), (14, 29), (25, 7), (3, 21), (7, 23), (32, 27), (13, 14), (8, 9), (35, 17), (27, 18), (18, 17), (17, 23), (22, 20), (13, 12), (1, 16), (31, 28), (27, 31), (4, 10), (14, 4), (16, 20), (20, 2), (8, 10), (35, 8), (28, 29), (10, 6), (25, 5), (24, 21), (16, 3), (35, 24), (19, 3), (18, 30), (33, 12), (24, 13), (5, 16), (21, 26), (30, 31), (14, 10), (25, 13), (4, 16), (33, 14), (23, 5), (13, 0), (34, 26), (21, 12), (26, 21), (16, 24), (31, 1), (35, 20), (20, 14), (33, 8), (1, 29), (9, 5), (22, 19), (19, 25), (30, 26), (25, 23), (3, 3), (29, 14), (15, 19), (14, 27), (5, 19), (3, 1), (9, 9), (1, 14), (9, 21), (6, 4), (10, 3), (34, 22), (31, 4), (5, 2), (31, 29), (20, 3), (0, 12), (8, 26), (11, 24), (35, 18), (13, 25), (19, 18), (14, 5), (6, 5), (1, 3), (19, 27), (12, 25), (8, 7), (27, 27), (2, 8), (17, 9), (22, 9), (26, 9), (11, 13), (6, 24), (24, 12), (6, 3), (25, 10), (23, 25), (8, 18), (23, 8), (33, 30), (16, 19), (12, 9), (2, 19), (31, 16), (0, 13), (28, 6), (18, 9), (5, 29), (2, 2), (19, 15), (16, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 29), (7, 29), (22, 20), (33, 9), (8, 26), (17, 16), (0, 27), (12, 24), (23, 15), (19, 25), (7, 21), (9, 14), (4, 28), (5, 13), (31, 23), (34, 25), (16, 19), (3, 14), (26, 7), (1, 11), (22, 27), (26, 21), (18, 27), (0, 3), (29, 16), (18, 13), (24, 4), (4, 21), (25, 24), (16, 21), (2, 18), (9, 29), (8, 9), (26, 28), (27, 21), (32, 23), (4, 17), (19, 18), (13, 23), (1, 0), (2, 7), (31, 3), (20, 27), (31, 10), (19, 13), (29, 11), (3, 0), (1, 16), (0, 12), (8, 7), (2, 20), (22, 16), (11, 12), (7, 2), (22, 4), (22, 0), (14, 17), (6, 16), (12, 4), (11, 6), (3, 1), (12, 12), (4, 2), (2, 28), (23, 23), (2, 2), (22, 11), (22, 13), (28, 19), (24, 0), (25, 12), (5, 5), (13, 22), (3, 13), (31, 14), (10, 26), (3, 26), (5, 2), (31, 5), (33, 22), (30, 21), (33, 6), (32, 3), (24, 30), (26, 1), (13, 16), (29, 17), (10, 13), (14, 12), (6, 2), (18, 17), (14, 11), (0, 5), (7, 15), (12, 16), (15, 15), (8, 21), (22, 25), (26, 5), (3, 19), (33, 20), (16, 30), (33, 26), (23, 18), (11, 26), (25, 30), (8, 10), (8, 6), (20, 30), (33, 4), (13, 26), (21, 25), (27, 18), (6, 10), (10, 5), (15, 22), (13, 10), (4, 30), (16, 7), (26, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 17), (7, 14), (9, 3), (14, 26), (15, 17), (26, 31), (3, 5), (2, 25), (0, 32), (31, 14), (21, 11), (8, 32), (33, 6), (21, 13), (26, 17), (8, 7), (33, 28), (0, 34), (28, 18), (10, 15), (8, 0), (24, 28), (32, 22), (7, 12), (18, 5), (18, 22), (33, 2), (9, 31), (10, 24), (6, 12), (30, 4), (2, 12), (0, 1), (24, 24), (12, 1), (22, 10), (25, 24), (3, 31), (1, 16), (30, 19), (14, 9), (0, 29), (28, 7), (30, 11), (33, 5), (13, 18), (16, 2), (3, 4), (16, 15), (10, 19), (20, 4), (14, 10), (1, 10), (15, 26), (7, 25), (10, 17), (28, 20), (19, 24), (11, 12), (31, 13), (33, 9), (32, 27), (22, 23), (29, 14), (12, 14), (2, 7), (25, 29), (8, 4), (25, 13), (0, 10), (24, 30), (18, 20), (29, 16), (20, 18), (14, 6), (29, 4), (23, 1), (9, 21), (14, 16), (11, 14), (6, 25), (5, 16), (32, 14), (33, 15), (19, 17), (12, 31), (31, 5), (25, 18), (31, 2), (21, 35), (11, 33), (28, 29), (33, 20), (9, 35), (18, 12), (10, 22), (19, 23), (32, 11), (7, 31), (30, 35), (20, 27), (31, 23), (4, 28), (30, 22), (8, 21), (3, 29), (19, 0), (25, 15), (17, 27), (28, 13), (27, 13), (21, 26), (12, 23), (2, 31), (13, 15), (17, 18), (28, 24), (9, 16), (18, 4), (10, 14), (27, 31), (4, 15), (1, 11), (29, 35), (0, 7), (5, 6), (20, 12), (1, 7), (20, 3), (10, 9), (20, 31), (4, 13), (9, 11), (12, 5), (18, 23), (10, 33), (26, 22), (32, 17), (17, 20), (24, 23), (20, 11), (6, 16), (29, 15), (23, 12), (9, 20), (7, 28), (5, 17), (20, 24), (31, 6), (2, 13), (29, 1), (7, 30), (9, 23), (27, 24), (0, 23), (9, 17), (4, 25), (14, 22), (7, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 23), (34, 32), (11, 20), (21, 13), (15, 23), (33, 1), (18, 24), (16, 30), (1, 10), (22, 18), (14, 1), (8, 7), (19, 8), (21, 23), (31, 24), (36, 18), (5, 23), (31, 9), (22, 4), (19, 2), (0, 22), (1, 26), (19, 11), (31, 12), (2, 21), (3, 8), (31, 28), (28, 15), (10, 24), (2, 9), (3, 27), (7, 24), (5, 22), (22, 27), (34, 7), (36, 28), (22, 7), (30, 30), (2, 5), (13, 14), (6, 3), (2, 19), (16, 4), (4, 14), (5, 5), (11, 6), (20, 12), (3, 26), (17, 5), (18, 22), (10, 1), (35, 6), (35, 11), (24, 8), (31, 13), (17, 6), (7, 18), (25, 32), (8, 2), (33, 29), (34, 0), (32, 3), (4, 18), (24, 11), (22, 3), (19, 13), (7, 21), (17, 0), (30, 15), (32, 28), (26, 4), (20, 32), (10, 3), (33, 5), (10, 6), (28, 6), (33, 18), (13, 20), (30, 17), (9, 22), (3, 25), (19, 19), (27, 20), (24, 15), (9, 29), (11, 21), (30, 8), (36, 3), (2, 12), (5, 10), (4, 2), (35, 12), (30, 9), (5, 27), (4, 6), (4, 5), (17, 26), (33, 4), (32, 18), (9, 9), (17, 27), (19, 21), (30, 4), (19, 22), (27, 6), (2, 7), (9, 24), (9, 26), (22, 6), (14, 8), (28, 29), (13, 15), (33, 7), (36, 16), (27, 7), (24, 0), (28, 31), (32, 2), (14, 4), (7, 16), (24, 23), (15, 20), (36, 27), (33, 3), (22, 32), (16, 5), (21, 19), (25, 25), (25, 28), (31, 17), (6, 8), (26, 32), (1, 7), (28, 5), (21, 16), (0, 3), (30, 14), (27, 29), (20, 2), (5, 24), (33, 0), (8, 22), (15, 14), (6, 17), (29, 18), (1, 16), (29, 0), (32, 4), (9, 30), (11, 27), (19, 28), (13, 18), (35, 24), (9, 21), (23, 7), (7, 19), (21, 32), (33, 11), (35, 20), (5, 31), (28, 30), (20, 19), (4, 8), (14, 12), (32, 9), (16, 12), (14, 22), (34, 8), (25, 12), (6, 32), (1, 14), (27, 16), (24, 2), (0, 6), (6, 18), (35, 8), (5, 16), (13, 19), (20, 29), (21, 21), (1, 22), (5, 15), (19, 14), (20, 1), (11, 14), (23, 21), (14, 0), (7, 12), (14, 26), (9, 1), (22, 31), (21, 5), (13, 21), (17, 32), (28, 22), (3, 14), (27, 12), (35, 31), (20, 0), (20, 27), (15, 7), (8, 14), (26, 25), (19, 9), (7, 4), (10, 15), (7, 7), (4, 29), (31, 8), (2, 10), (35, 19), (24, 17), (29, 29), (11, 26), (27, 8), (22, 15), (26, 14), (20, 10), (30, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 14), (5, 25), (16, 15), (26, 25), (11, 18), (20, 30), (8, 22), (8, 12), (15, 27), (27, 21), (4, 27), (8, 21), (6, 9), (26, 6), (12, 27), (17, 18), (2, 13), (8, 3), (12, 18), (22, 27), (22, 2), (12, 0), (3, 2), (2, 10), (0, 1), (13, 16), (19, 8), (27, 32), (8, 19), (15, 17), (6, 21), (8, 20), (5, 29), (23, 33), (12, 32), (26, 15), (7, 17), (3, 12), (14, 16), (5, 15), (10, 9), (6, 29), (26, 21), (14, 9), (24, 3), (2, 35), (17, 16), (27, 24), (22, 21), (4, 17), (7, 35), (5, 13), (17, 8), (14, 18), (16, 5), (13, 35), (6, 25), (30, 0), (24, 26), (29, 23), (24, 24), (22, 10), (5, 24), (16, 6), (19, 30), (25, 1), (10, 29), (10, 31), (27, 23), (9, 2), (21, 26), (0, 14), (23, 10), (4, 0), (13, 29), (27, 3), (28, 11), (7, 3), (4, 14), (20, 24), (1, 14), (20, 3), (10, 14), (14, 20), (8, 23), (5, 33), (22, 24), (16, 12), (4, 35), (12, 9), (24, 31), (30, 25), (14, 34), (19, 11), (29, 34), (1, 7), (17, 9), (29, 5), (16, 30), (9, 12), (15, 33), (21, 2), (28, 33), (29, 30), (16, 21), (22, 20), (1, 11), (24, 20), (28, 25), (30, 6), (22, 25), (11, 21), (9, 33), (3, 4), (16, 27), (2, 24), (12, 12), (23, 25), (16, 28), (23, 4), (24, 12), (14, 35), (3, 16), (20, 25), (10, 10), (7, 10), (29, 2), (29, 12), (10, 23), (19, 24), (0, 35), (5, 23), (13, 21), (10, 27), (20, 28), (6, 3), (9, 1), (4, 20), (1, 9), (29, 25), (18, 24), (29, 33), (6, 19), (23, 0), (23, 22), (0, 28), (23, 34), (3, 21), (18, 35), (14, 28), (18, 10), (27, 4), (1, 1), (28, 5), (2, 27), (25, 10), (13, 31), (19, 32), (16, 33), (17, 17), (13, 9), (7, 32), (0, 12), (6, 22), (6, 35), (11, 27), (25, 19), (30, 11), (0, 11), (8, 24), (27, 20), (9, 8), (28, 19), (10, 33), (25, 24), (16, 18), (30, 32), (20, 11), (13, 13), (27, 11), (8, 30), (0, 30), (23, 26), (30, 17), (18, 23), (8, 5), (9, 19), (8, 13), (23, 23), (19, 2), (16, 11), (11, 26), (13, 12), (11, 5), (3, 5), (19, 0), (1, 6), (0, 34), (11, 35), (25, 29), (5, 10), (29, 7), (2, 1), (27, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "In a 35x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 3), (19, 35), (25, 29), (32, 4), (19, 26), (20, 32), (9, 18), (34, 14), (15, 6), (13, 1), (31, 19), (31, 36), (9, 30), (5, 11), (28, 23), (7, 18), (2, 32), (24, 14), (4, 34), (7, 16), (3, 38), (28, 10), (16, 34), (23, 24), (3, 8), (2, 10), (33, 38), (2, 25), (34, 35), (9, 21), (15, 26), (33, 21), (33, 3), (31, 32), (1, 2), (20, 18), (21, 0), (14, 35), (30, 27), (24, 37), (9, 31), (20, 24), (7, 24), (34, 12), (27, 13), (30, 38), (34, 2), (5, 4), (10, 19), (6, 22), (31, 5), (0, 11), (31, 22), (16, 2), (31, 17), (10, 1), (5, 35), (15, 11), (20, 4), (24, 18), (1, 30), (24, 22), (25, 11), (6, 9), (5, 13), (2, 9), (21, 12), (25, 33), (29, 15), (16, 33), (29, 20), (19, 3), (22, 11), (26, 36), (8, 16), (0, 28), (1, 12), (11, 11), (3, 22), (4, 30), (4, 12), (24, 1), (8, 5), (31, 21), (2, 12), (31, 35), (21, 30), (7, 12), (18, 21), (1, 1), (5, 9), (20, 15), (1, 15), (0, 19), (13, 21), (30, 18), (21, 24), (23, 6), (2, 8), (21, 16), (0, 23), (9, 22), (24, 10), (3, 9), (21, 14), (28, 29), (13, 15), (11, 1), (33, 32), (32, 36), (30, 16), (26, 34), (29, 26), (10, 31), (4, 16), (19, 13), (21, 17), (33, 25), (20, 9), (26, 29), (21, 3), (4, 9), (1, 14), (4, 5), (8, 20), (6, 32), (7, 23), (3, 6), (16, 23), (8, 10), (17, 20), (11, 18), (2, 35), (7, 15), (20, 30), (9, 27), (32, 27), (25, 30), (33, 24), (19, 5), (8, 38), (24, 0), (2, 7), (8, 34), (4, 14), (10, 17), (9, 32), (21, 33), (9, 6), (4, 19), (23, 15), (24, 5), (32, 15), (14, 3), (3, 14), (20, 0), (10, 38), (32, 32), (10, 26), (29, 35), (16, 35), (10, 9), (26, 5), (23, 2), (14, 10), (1, 6), (11, 31), (6, 23), (8, 11), (4, 17), (15, 24), (6, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 0), (13, 13), (12, 8), (11, 17), (22, 25), (9, 19), (35, 19), (12, 15), (26, 12), (12, 6), (20, 17), (21, 4), (23, 19), (15, 25), (16, 20), (19, 8), (35, 27), (2, 17), (18, 2), (7, 1), (12, 16), (12, 11), (6, 25), (28, 18), (32, 13), (23, 2), (36, 15), (4, 2), (5, 3), (28, 0), (5, 15), (30, 15), (34, 2), (27, 21), (15, 11), (12, 29), (9, 26), (24, 17), (24, 11), (7, 8), (32, 8), (25, 1), (23, 26), (9, 8), (30, 22), (19, 24), (33, 30), (10, 28), (8, 3), (15, 20), (1, 16), (6, 12), (5, 28), (26, 22), (14, 15), (3, 19), (21, 25), (19, 16), (16, 4), (14, 25), (9, 5), (2, 27), (13, 6), (8, 17), (24, 12), (25, 10), (33, 15), (14, 26), (29, 20), (30, 2), (0, 14), (32, 7), (23, 14), (4, 27), (6, 0), (27, 20), (13, 15), (26, 7), (17, 23), (23, 11), (4, 19), (24, 13), (35, 7), (24, 27), (5, 0), (19, 2), (16, 2), (10, 10), (35, 20), (21, 11), (3, 9), (15, 14), (35, 30), (24, 3), (13, 29), (2, 2), (6, 20), (23, 30), (27, 11), (1, 27), (18, 15), (24, 8), (9, 2), (2, 15), (27, 15), (17, 4), (29, 17), (23, 6), (33, 3), (25, 14), (2, 11), (4, 15), (30, 4), (27, 13), (19, 15), (23, 13), (11, 15), (30, 23), (24, 14), (14, 20), (33, 16), (1, 15), (22, 29), (2, 18), (26, 6), (31, 10), (12, 23), (13, 27), (31, 23), (9, 4), (27, 14), (3, 3), (3, 10), (36, 0), (11, 8), (12, 20), (28, 27), (15, 18), (3, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 16), (15, 0), (23, 19), (6, 1), (4, 5), (20, 28), (27, 2), (23, 17), (16, 27), (18, 25), (10, 33), (27, 28), (11, 5), (27, 29), (20, 2), (4, 2), (3, 1), (3, 17), (8, 10), (27, 5), (0, 17), (3, 25), (9, 17), (9, 12), (5, 14), (29, 16), (9, 35), (23, 30), (24, 8), (8, 0), (11, 33), (30, 17), (15, 23), (8, 32), (29, 32), (7, 4), (18, 26), (9, 24), (26, 5), (26, 21), (23, 16), (23, 25), (12, 10), (26, 2), (30, 18), (19, 29), (22, 21), (3, 23), (22, 14), (30, 16), (9, 15), (17, 20), (2, 11), (2, 32), (5, 2), (14, 27), (28, 0), (20, 4), (17, 0), (9, 22), (15, 29), (22, 25), (14, 13), (13, 22), (0, 30), (29, 30), (2, 17), (22, 5), (29, 34), (29, 2), (29, 0), (28, 16), (7, 17), (2, 8), (7, 28), (22, 26), (22, 27), (16, 23), (26, 3), (30, 34), (17, 31), (6, 29), (13, 17), (9, 31), (1, 28), (0, 16), (7, 7), (6, 4), (21, 7), (13, 4), (20, 19), (12, 25), (17, 14), (5, 29), (8, 28), (18, 3), (4, 4), (8, 19), (3, 18), (10, 15), (6, 20), (21, 1), (12, 14), (6, 25), (29, 21), (24, 18), (18, 0), (2, 26), (15, 10), (14, 32), (30, 21), (5, 16), (29, 13), (8, 14), (7, 15), (7, 29), (2, 36), (6, 23), (20, 16), (28, 35), (16, 10), (13, 20), (0, 14), (8, 29), (16, 36), (0, 5), (15, 18), (4, 30), (4, 23), (10, 22), (9, 27), (0, 32), (18, 28), (18, 4), (15, 31), (20, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (37, 18), (0, 22), (2, 5), (6, 16), (29, 26), (15, 34), (16, 22), (5, 28), (20, 19), (13, 2), (19, 16), (13, 3), (33, 37), (33, 35), (19, 18), (28, 8), (18, 18), (32, 19), (3, 19), (16, 18), (15, 10), (12, 0), (35, 29), (1, 9), (30, 30), (7, 11), (19, 13), (6, 4), (21, 18), (18, 13), (24, 4), (34, 34), (31, 22), (2, 17), (20, 32), (0, 19), (9, 0), (17, 33), (37, 32), (3, 20), (6, 38), (19, 26), (30, 0), (35, 12), (24, 27), (35, 33), (4, 34), (9, 18), (17, 27), (29, 25), (2, 3), (28, 23), (28, 32), (30, 2), (35, 11), (32, 37), (9, 8), (16, 12), (13, 27), (2, 29), (1, 21), (11, 7), (7, 12), (34, 21), (2, 13), (2, 25), (34, 6), (6, 31), (18, 14), (32, 15), (31, 17), (28, 29), (20, 2), (8, 17), (23, 33), (19, 20), (36, 25), (19, 10), (7, 1), (35, 1), (14, 37), (17, 31), (9, 19), (19, 12), (33, 30), (20, 14), (29, 12), (9, 13), (27, 5), (17, 24), (11, 9), (14, 0), (35, 37), (23, 16), (36, 7), (4, 36), (28, 37), (28, 17), (3, 22), (10, 19), (10, 33), (31, 4), (5, 18), (37, 2), (8, 13), (31, 19), (36, 11), (21, 15), (5, 11), (19, 24), (21, 28), (35, 10), (24, 17), (32, 34), (0, 20), (31, 2), (13, 31), (0, 12), (10, 22), (7, 4), (7, 2), (35, 17), (22, 7), (23, 28), (10, 17), (13, 26), (21, 13), (5, 35), (15, 32), (27, 4), (14, 14), (15, 18), (3, 38), (1, 18), (28, 21), (36, 5), (23, 10), (21, 20), (25, 21), (20, 38), (29, 13), (17, 29), (10, 29), (17, 16), (4, 16), (34, 18), (3, 30), (28, 34), (20, 9), (3, 24), (11, 36), (7, 23), (17, 36), (14, 29), (29, 19), (17, 19), (1, 26), (33, 22), (33, 14), (4, 12), (32, 33), (36, 37), (13, 29), (29, 32), (36, 36), (37, 25), (15, 22), (11, 8), (20, 10), (37, 8), (37, 5), (16, 14), (27, 30), (37, 20), (17, 26), (6, 26), (20, 34), (31, 18), (36, 2), (5, 36), (26, 23), (32, 8), (31, 11), (11, 23), (11, 20), (6, 3), (15, 20), (17, 11), (12, 33), (14, 10), (18, 32), (10, 10), (11, 30), (14, 18), (15, 31), (22, 24), (5, 34), (20, 26), (1, 33), (13, 7), (21, 29), (7, 29), (13, 38), (6, 21), (27, 22), (34, 38), (33, 29), (15, 19), (6, 35), (1, 12), (22, 21), (20, 28), (28, 30), (3, 14), (26, 20), (15, 35), (35, 31), (24, 9), (21, 26), (15, 23), (14, 38), (19, 27), (19, 4), (27, 0), (19, 7), (0, 34), (12, 24), (23, 31), (2, 12), (3, 23), (29, 6), (31, 10), (30, 15), (28, 13), (28, 14), (36, 21), (32, 29), (9, 4), (22, 27), (23, 17), (10, 30), (6, 1), (15, 17), (1, 35), (33, 5), (11, 35), (27, 25), (6, 17), (4, 32), (29, 28), (21, 11), (6, 36), (4, 33), (0, 36), (18, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 30), (26, 10), (6, 22), (22, 21), (7, 12), (17, 12), (25, 17), (19, 34), (3, 27), (25, 19), (8, 1), (6, 12), (12, 31), (30, 15), (7, 24), (27, 13), (16, 23), (6, 3), (13, 20), (26, 15), (26, 23), (20, 31), (6, 6), (26, 3), (25, 31), (9, 21), (19, 16), (25, 9), (2, 21), (11, 13), (18, 25), (20, 34), (0, 26), (20, 36), (21, 23), (23, 16), (24, 28), (13, 28), (21, 30), (21, 15), (0, 14), (4, 13), (4, 23), (24, 13), (21, 0), (29, 2), (13, 0), (13, 15), (22, 24), (18, 17), (23, 10), (16, 0), (0, 9), (3, 16), (17, 20), (11, 10), (20, 10), (27, 21), (26, 0), (22, 9), (11, 1), (18, 28), (24, 3), (30, 2), (15, 0), (6, 1), (9, 36), (17, 35), (30, 30), (14, 9), (19, 11), (20, 7), (14, 31), (14, 35), (7, 32), (26, 22), (7, 29), (6, 10), (28, 35), (26, 34), (20, 1), (19, 29), (15, 30), (29, 30), (10, 28), (8, 0), (11, 16), (30, 35), (17, 30), (17, 7), (13, 25), (15, 17), (24, 20), (22, 22), (19, 20), (1, 32), (18, 3), (19, 25), (8, 12), (7, 26), (26, 30), (23, 34), (3, 35), (0, 32), (10, 33), (25, 12), (5, 28), (16, 34), (9, 11), (2, 29), (5, 27), (24, 11), (9, 26), (12, 3), (10, 5), (23, 24), (17, 3), (3, 3), (10, 1), (20, 20), (10, 32), (30, 6), (3, 34), (10, 13), (21, 2), (1, 16), (7, 1), (13, 6), (14, 8), (13, 2), (6, 0), (7, 4), (14, 27), (13, 1), (0, 29), (19, 5), (25, 1), (11, 14), (28, 21), (16, 25), (11, 24), (6, 33), (2, 36), (4, 35), (28, 7), (30, 9), (6, 32), (13, 34), (24, 30), (4, 4), (23, 14), (20, 33), (17, 19), (29, 26), (13, 11), (6, 23), (27, 10), (16, 16), (17, 17), (29, 7), (4, 21), (7, 23), (23, 4), (8, 18), (22, 11), (6, 18), (2, 20), (3, 12), (2, 9), (30, 11), (18, 26), (8, 16), (21, 34), (11, 27), (27, 18), (6, 28), (4, 10), (1, 31), (18, 32), (25, 14), (28, 33), (18, 19), (1, 27), (1, 26), (17, 2), (18, 4), (6, 9), (20, 9), (23, 9), (3, 33), (8, 15), (24, 8), (19, 32), (23, 6), (1, 20), (25, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 23), (4, 3), (3, 15), (15, 19), (27, 0), (16, 2), (25, 10), (5, 4), (23, 18), (2, 18), (4, 1), (13, 8), (18, 5), (20, 22), (27, 23), (0, 22), (3, 4), (10, 15), (23, 16), (1, 8), (34, 12), (36, 27), (6, 26), (9, 9), (8, 30), (23, 4), (33, 28), (26, 13), (3, 30), (19, 29), (14, 2), (16, 9), (11, 26), (28, 15), (17, 17), (0, 24), (36, 19), (6, 11), (3, 10), (4, 2), (18, 21), (33, 6), (12, 15), (22, 26), (37, 23), (18, 0), (7, 27), (1, 1), (35, 1), (17, 21), (20, 5), (32, 16), (25, 16), (13, 21), (13, 20), (24, 23), (2, 5), (9, 4), (8, 19), (3, 5), (19, 7), (1, 27), (4, 7), (26, 17), (3, 9), (16, 5), (27, 2), (13, 18), (35, 21), (0, 13), (32, 1), (25, 23), (26, 1), (20, 6), (35, 16), (36, 26), (18, 9), (0, 12), (13, 30), (33, 27), (19, 4), (6, 21), (23, 1), (26, 26), (8, 28), (12, 6), (18, 28), (28, 17), (27, 9), (19, 28), (20, 15), (27, 1), (21, 13), (26, 9), (15, 17), (31, 25), (0, 16), (21, 30), (6, 14), (15, 3), (28, 20), (0, 10), (34, 9), (10, 1), (3, 19), (21, 10), (7, 25), (10, 11), (34, 13), (29, 1), (5, 22), (4, 9), (5, 20), (37, 13), (12, 27), (6, 27), (16, 4), (17, 23), (18, 6), (13, 7), (10, 5), (26, 25), (6, 9), (33, 7), (1, 3), (25, 0), (5, 25), (28, 6), (14, 28), (34, 25), (15, 8), (12, 11), (17, 25), (34, 17), (4, 30), (26, 28), (34, 15), (11, 8), (1, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 30x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 14), (3, 12), (21, 1), (26, 16), (12, 25), (6, 24), (22, 7), (17, 6), (26, 4), (4, 0), (0, 25), (5, 16), (12, 1), (4, 24), (7, 20), (2, 26), (17, 5), (17, 10), (13, 24), (19, 9), (25, 11), (18, 12), (23, 20), (14, 23), (16, 15), (19, 17), (24, 9), (6, 2), (7, 8), (9, 26), (22, 1), (21, 5), (11, 20), (28, 28), (27, 19), (19, 20), (23, 5), (17, 23), (1, 29), (22, 29), (28, 5), (3, 7), (25, 22), (24, 14), (0, 8), (27, 4), (6, 18), (3, 23), (18, 8), (2, 1), (4, 3), (11, 1), (10, 27), (8, 19), (21, 19), (10, 10), (21, 27), (4, 18), (3, 26), (20, 0), (28, 25), (23, 23), (10, 19), (6, 9), (7, 27), (8, 4), (25, 4), (24, 21), (15, 1), (26, 3), (10, 22), (15, 11), (8, 25), (29, 25), (27, 3), (3, 11), (23, 2), (28, 17), (18, 24), (3, 13), (22, 5), (21, 28), (26, 27), (17, 13), (18, 28), (21, 16), (13, 4), (17, 7), (0, 15), (25, 17), (12, 10), (14, 18), (26, 24), (19, 3), (10, 28), (19, 12), (18, 17), (3, 27), (4, 25), (22, 24), (5, 28), (1, 9), (20, 26), (6, 0), (4, 5), (4, 10), (4, 27), (0, 21), (11, 11), (12, 14), (17, 20), (0, 6), (27, 12), (19, 18), (22, 0), (2, 4), (12, 19), (16, 11), (2, 3), (23, 28), (11, 5), (6, 21), (8, 16), (12, 11), (20, 14), (6, 29), (19, 7), (5, 19), (1, 2), (10, 5), (22, 19), (14, 26), (4, 7), (8, 13), (6, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 24), (25, 35), (30, 36), (6, 34), (28, 36), (3, 38), (10, 26), (24, 6), (11, 26), (17, 0), (33, 9), (14, 16), (17, 10), (10, 0), (20, 22), (26, 34), (26, 15), (19, 3), (22, 23), (19, 19), (23, 29), (0, 3), (4, 33), (25, 14), (28, 15), (16, 22), (17, 33), (18, 25), (1, 4), (18, 4), (18, 13), (0, 32), (24, 22), (4, 21), (11, 36), (16, 24), (12, 21), (31, 36), (9, 4), (24, 3), (20, 16), (16, 9), (17, 22), (18, 31), (13, 38), (21, 8), (33, 30), (3, 1), (13, 23), (3, 27), (9, 14), (8, 0), (11, 23), (10, 31), (16, 36), (7, 10), (7, 21), (5, 0), (23, 37), (12, 10), (2, 4), (1, 34), (8, 25), (0, 12), (26, 38), (27, 9), (22, 27), (14, 35), (13, 20), (4, 3), (21, 19), (12, 3), (14, 34), (16, 14), (14, 19), (0, 34), (33, 19), (28, 16), (19, 22), (4, 38), (17, 18), (1, 16), (28, 10), (16, 31), (13, 5), (9, 13), (23, 36), (0, 8), (18, 33), (10, 13), (8, 9), (20, 3), (12, 19), (1, 37), (20, 21), (23, 16), (12, 13), (2, 27), (21, 10), (30, 23), (18, 21), (22, 28), (29, 20), (4, 26), (6, 0), (25, 26), (31, 0), (8, 32), (20, 28), (17, 20), (23, 22), (23, 11), (12, 2), (32, 23), (13, 22), (33, 6), (33, 8), (13, 6), (19, 32), (4, 15), (1, 10), (6, 36), (29, 38), (25, 31), (32, 8), (30, 34), (33, 15), (3, 9), (23, 27), (27, 17), (14, 37), (7, 29), (7, 5), (18, 3), (30, 25), (3, 34), (6, 37), (12, 8), (7, 37), (22, 14), (25, 32), (33, 16), (23, 34), (7, 24), (9, 17), (17, 13), (19, 24), (10, 24), (15, 28), (27, 3), (33, 27), (0, 35), (23, 1), (24, 32), (31, 7), (12, 26), (11, 34), (30, 3), (31, 9), (8, 27), (27, 23), (30, 33), (21, 13), (16, 5), (29, 1), (5, 2), (27, 38), (29, 24), (32, 25), (9, 9), (6, 6), (30, 6), (3, 20), (4, 5), (8, 33), (19, 10), (27, 22), (8, 2), (19, 25), (21, 7), (22, 8), (28, 12), (13, 7), (31, 24), (31, 29), (22, 16), (9, 26), (10, 28), (18, 6), (27, 6), (3, 36), (15, 26), (22, 9), (11, 21), (11, 33), (7, 28), (30, 13), (29, 2), (26, 14), (10, 34), (31, 21), (31, 37), (32, 30), (13, 32), (32, 37), (24, 14), (30, 0), (8, 16), (4, 11), (9, 38), (33, 24), (9, 25), (5, 21), (27, 32), (11, 15), (32, 1), (19, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 7), (3, 3), (8, 0), (5, 6), (19, 4), (2, 3), (17, 12), (19, 30), (5, 24), (14, 8), (8, 5), (16, 30), (36, 1), (34, 1), (15, 21), (9, 3), (33, 29), (12, 5), (36, 32), (13, 15), (29, 5), (7, 30), (24, 28), (11, 29), (21, 3), (17, 34), (29, 2), (11, 27), (25, 9), (24, 1), (10, 17), (10, 21), (35, 32), (26, 17), (20, 22), (32, 0), (15, 20), (32, 5), (23, 20), (30, 24), (24, 34), (29, 7), (8, 29), (9, 18), (15, 1), (14, 1), (17, 18), (3, 7), (15, 30), (31, 24), (24, 9), (33, 4), (6, 5), (32, 8), (27, 23), (20, 3), (6, 4), (10, 29), (4, 1), (17, 16), (6, 2), (25, 5), (28, 5), (22, 6), (27, 26), (33, 13), (12, 3), (7, 17), (20, 32), (0, 25), (32, 6), (30, 2), (4, 19), (13, 29), (29, 6), (25, 4), (6, 12), (12, 15), (15, 14), (26, 6), (14, 13), (15, 0), (4, 25), (22, 10), (33, 14), (34, 20), (16, 16), (19, 26), (3, 33), (9, 19), (2, 34), (13, 33), (19, 20), (18, 19), (19, 25), (36, 13), (35, 24), (11, 5), (10, 14), (30, 25), (8, 31), (27, 13), (4, 15), (12, 18), (14, 3), (32, 25), (17, 2), (19, 17), (1, 6), (12, 33), (18, 29), (17, 29), (35, 15), (16, 26), (18, 28), (10, 18), (14, 31), (8, 20), (30, 30), (26, 25), (18, 0), (2, 6), (20, 27), (19, 11), (30, 33), (2, 9), (12, 9), (17, 6), (18, 17), (30, 1), (27, 32), (6, 13), (28, 3), (9, 32), (34, 27), (30, 22), (0, 1), (11, 3), (14, 15), (36, 3), (2, 13), (36, 26), (15, 11), (31, 19), (25, 26), (32, 17), (14, 33), (22, 5), (29, 30), (20, 7), (20, 20), (32, 29), (8, 32), (19, 18), (28, 31), (7, 3), (0, 33), (12, 25), (33, 15), (33, 21), (1, 9), (3, 14), (16, 5), (27, 18), (21, 26), (15, 22), (28, 11), (13, 7), (4, 29), (20, 13), (14, 11), (18, 8), (18, 6), (5, 0), (15, 13), (19, 31), (21, 17), (21, 21), (21, 9), (29, 29), (4, 10), (6, 21), (20, 8), (33, 23), (22, 12), (10, 5), (22, 22), (17, 24), (17, 22), (30, 19), (22, 15), (25, 19), (3, 13), (36, 31), (25, 24), (23, 18), (17, 25), (0, 4), (0, 14), (8, 19), (15, 18), (19, 14), (2, 20), (25, 28), (2, 19), (34, 11), (20, 33), (11, 34), (1, 34), (13, 24), (24, 18), (28, 13), (7, 11), (8, 34), (26, 28), (24, 21), (13, 6), (14, 7), (17, 17), (13, 34), (29, 28), (19, 19), (36, 0), (15, 25), (9, 26), (36, 18), (31, 28), (2, 2), (12, 31), (29, 32), (13, 21), (5, 30), (36, 17), (32, 28), (22, 7), (28, 26), (0, 20), (21, 31), (34, 25), (32, 9), (13, 25), (7, 12), (17, 14), (33, 6), (22, 17), (24, 27), (0, 3), (8, 3), (32, 13), (32, 34), (36, 23), (10, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 28), (17, 18), (3, 21), (18, 27), (29, 16), (16, 12), (25, 13), (16, 24), (21, 12), (28, 31), (0, 10), (25, 24), (29, 1), (1, 3), (7, 10), (0, 13), (20, 3), (25, 11), (10, 28), (20, 7), (1, 31), (27, 20), (27, 31), (30, 27), (21, 17), (29, 9), (28, 8), (15, 12), (13, 10), (29, 5), (27, 5), (3, 16), (17, 24), (1, 4), (11, 6), (25, 16), (17, 4), (2, 22), (30, 28), (9, 19), (19, 9), (26, 8), (13, 22), (30, 10), (22, 4), (17, 22), (28, 23), (17, 12), (11, 1), (30, 24), (20, 30), (23, 7), (24, 28), (22, 29), (6, 25), (8, 6), (17, 2), (8, 26), (2, 31), (5, 5), (19, 10), (5, 14), (18, 21), (12, 19), (28, 24), (15, 11), (24, 6), (4, 9), (26, 17), (21, 27), (8, 23), (13, 29), (14, 0), (25, 15), (19, 4), (4, 22), (21, 22), (12, 16), (24, 7), (26, 27), (4, 2), (4, 4), (1, 16), (16, 22), (12, 22), (20, 20), (5, 30), (5, 2), (11, 15), (2, 5), (28, 22), (20, 24), (22, 23), (19, 13), (17, 1), (26, 26), (1, 0), (2, 14), (10, 6), (0, 5), (10, 26), (28, 21), (19, 7), (12, 21), (26, 11), (13, 17), (11, 27), (27, 25), (6, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 32), (28, 22), (29, 9), (29, 8), (0, 26), (2, 7), (13, 20), (27, 2), (31, 20), (31, 3), (6, 7), (21, 7), (23, 5), (11, 27), (22, 27), (11, 13), (2, 22), (1, 14), (12, 32), (15, 5), (6, 11), (15, 31), (24, 29), (25, 18), (5, 11), (18, 2), (24, 10), (18, 1), (9, 4), (13, 16), (29, 5), (26, 3), (5, 4), (4, 8), (30, 17), (22, 11), (29, 16), (9, 1), (4, 28), (6, 4), (30, 13), (27, 3), (17, 30), (9, 12), (18, 30), (25, 25), (11, 8), (22, 32), (12, 19), (24, 14), (16, 1), (3, 8), (9, 28), (15, 0), (2, 11), (0, 32), (17, 19), (25, 16), (16, 25), (15, 7), (3, 12), (23, 9), (6, 18), (20, 32), (1, 31), (25, 21), (20, 20), (9, 32), (30, 26), (12, 11), (2, 9), (26, 12), (11, 5), (27, 7), (11, 17), (7, 9), (11, 29), (25, 19), (5, 22), (25, 30), (17, 6), (21, 14), (19, 2), (5, 0), (15, 20), (2, 30), (10, 4), (29, 10), (30, 16), (29, 0), (4, 13), (18, 15), (7, 21), (5, 29), (5, 15), (22, 25), (28, 9), (28, 1), (16, 12), (17, 12), (24, 9), (27, 26), (14, 6), (9, 27), (17, 17), (2, 26), (0, 12), (31, 2), (9, 23), (22, 17), (29, 15), (13, 23), (24, 11), (10, 27), (12, 2), (21, 30), (8, 5), (0, 8), (22, 22), (5, 23), (6, 17), (27, 29), (28, 10), (1, 13), (5, 17), (18, 27), (3, 28), (28, 24), (13, 1), (13, 15), (9, 20), (26, 17), (15, 19), (25, 4), (20, 8), (26, 13), (8, 4), (25, 23), (18, 14), (0, 10), (28, 31), (13, 29), (0, 31), (18, 8), (15, 30), (1, 29), (6, 31), (10, 6), (29, 29), (21, 31), (26, 7), (26, 22), (17, 28), (24, 30), (3, 25), (22, 15), (6, 20), (3, 21), (17, 25), (21, 0), (14, 2), (0, 6), (13, 32), (3, 14), (3, 16), (23, 17), (3, 1), (30, 9), (8, 20), (8, 22), (27, 23), (31, 29), (23, 27), (7, 2), (23, 20), (12, 17), (8, 9), (20, 1), (21, 20), (22, 18), (12, 9), (27, 19), (14, 25), (11, 12), (14, 10), (15, 22), (21, 22), (18, 5), (24, 32), (3, 11), (2, 6), (9, 0), (11, 26), (12, 14), (17, 15), (21, 27), (27, 13), (0, 3), (22, 28), (8, 1), (31, 31), (1, 3), (23, 19), (30, 20), (30, 15), (13, 31), (14, 21), (1, 22), (20, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 28), (14, 8), (27, 24), (24, 12), (3, 23), (22, 20), (1, 34), (12, 16), (25, 28), (8, 8), (17, 12), (25, 4), (4, 30), (22, 17), (12, 7), (20, 17), (24, 25), (24, 11), (29, 14), (28, 30), (9, 3), (23, 13), (29, 1), (25, 13), (5, 34), (29, 23), (12, 13), (24, 28), (7, 34), (7, 23), (3, 21), (4, 2), (15, 21), (10, 27), (2, 33), (3, 28), (12, 10), (11, 14), (27, 1), (14, 23), (12, 14), (18, 34), (4, 27), (12, 27), (7, 11), (12, 20), (11, 0), (10, 19), (0, 8), (8, 35), (9, 26), (23, 22), (10, 22), (14, 2), (12, 32), (20, 20), (16, 1), (4, 10), (27, 7), (14, 5), (18, 33), (17, 22), (2, 5), (4, 20), (20, 22), (20, 24), (22, 33), (6, 1), (18, 10), (9, 16), (14, 12), (16, 7), (9, 13), (27, 33), (16, 4), (23, 20), (21, 7), (20, 3), (6, 2), (7, 27), (15, 8), (26, 25), (3, 22), (14, 21), (1, 17), (26, 15), (11, 34), (27, 18), (20, 34), (18, 15), (14, 30), (28, 21), (20, 4), (8, 23), (16, 13), (23, 4), (10, 10), (13, 35), (8, 22), (11, 35), (4, 14), (9, 33), (7, 1), (28, 20), (16, 0), (12, 15), (2, 26), (2, 14), (3, 34), (12, 1), (23, 0), (13, 20), (29, 0), (18, 31), (15, 6), (20, 32), (26, 16), (20, 26), (2, 4), (8, 33), (13, 30), (4, 18), (5, 32), (21, 21), (9, 2), (3, 32), (13, 7), (16, 20), (4, 31), (11, 21), (10, 21), (10, 6), (3, 8), (17, 30), (19, 34), (22, 11), (24, 23), (28, 1), (29, 4), (12, 23), (1, 33), (11, 13), (0, 23), (25, 26), (20, 25), (5, 3), (13, 1), (21, 11), (28, 13), (11, 10), (16, 9), (1, 22), (12, 11), (8, 1), (10, 0), (29, 12), (8, 21), (20, 16), (29, 27), (13, 14), (20, 23), (2, 30), (10, 18), (17, 17), (26, 18), (21, 16), (17, 29), (17, 28), (16, 19), (14, 13), (3, 20), (11, 16), (3, 2), (27, 0), (25, 22), (3, 18), (3, 1), (8, 5), (23, 12), (19, 12), (19, 9), (22, 23), (17, 32), (19, 18), (4, 11), (23, 16), (3, 16), (22, 5), (28, 15), (10, 34), (25, 20), (21, 6), (7, 32), (21, 25), (28, 23), (26, 35), (12, 0), (18, 4), (5, 0), (17, 4), (14, 18), (22, 13), (3, 27), (2, 0), (26, 22), (17, 11), (23, 25), (4, 35)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 23), (27, 31), (10, 2), (9, 6), (29, 7), (0, 16), (14, 8), (1, 33), (9, 14), (16, 22), (18, 27), (35, 20), (37, 17), (19, 23), (15, 12), (19, 26), (1, 17), (30, 32), (37, 36), (24, 21), (30, 33), (19, 9), (2, 32), (6, 20), (32, 4), (20, 17), (2, 34), (7, 4), (9, 8), (18, 19), (10, 13), (22, 33), (31, 18), (18, 3), (12, 19), (26, 5), (33, 9), (31, 6), (15, 34), (7, 2), (17, 17), (10, 34), (6, 25), (20, 24), (31, 8), (14, 18), (24, 33), (32, 36), (13, 34), (35, 25), (16, 36), (34, 12), (5, 20), (15, 13), (31, 17), (19, 14), (35, 9), (33, 19), (33, 26), (5, 15), (0, 26), (38, 11), (14, 16), (17, 34), (22, 0), (3, 10), (21, 5), (3, 18), (31, 1), (38, 4), (34, 23), (4, 23), (23, 6), (25, 18), (34, 35), (14, 9), (24, 26), (7, 10), (26, 2), (25, 17), (22, 6), (4, 5), (20, 36), (32, 28), (26, 23), (30, 35), (3, 28), (1, 10), (26, 34), (23, 10), (27, 32), (12, 15), (1, 35), (19, 16), (24, 35), (4, 29), (34, 1), (8, 12), (12, 8), (15, 11), (18, 21), (26, 28), (28, 0), (10, 0), (0, 7), (30, 6), (18, 28), (31, 7), (38, 19), (27, 20), (27, 14), (6, 29), (14, 17), (6, 33), (32, 14), (33, 7), (7, 21), (4, 16), (12, 16), (36, 11), (22, 19), (38, 0), (15, 35), (1, 18), (23, 23), (24, 10), (34, 8), (37, 5), (23, 13), (27, 26), (30, 31), (8, 25), (15, 1), (2, 2), (13, 9), (33, 1), (24, 7), (25, 34), (2, 18), (22, 32), (17, 6), (37, 33), (26, 27), (3, 9), (19, 28), (25, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 15), (10, 24), (7, 8), (16, 21), (26, 8), (29, 27), (5, 11), (7, 20), (13, 6), (27, 27), (8, 3), (25, 6), (19, 11), (12, 22), (17, 22), (16, 29), (2, 15), (0, 17), (12, 27), (8, 20), (15, 26), (2, 16), (24, 8), (8, 18), (30, 3), (18, 29), (26, 18), (2, 28), (23, 4), (10, 23), (13, 15), (11, 6), (4, 0), (30, 14), (16, 4), (2, 11), (15, 14), (1, 14), (16, 3), (16, 12), (20, 15), (10, 21), (28, 12), (17, 29), (20, 28), (23, 21), (19, 16), (20, 27), (3, 29), (5, 22), (18, 24), (12, 8), (19, 12), (13, 21), (17, 7), (29, 0), (24, 3), (26, 0), (1, 8), (1, 7), (18, 21), (24, 9), (29, 26), (27, 10), (15, 13), (9, 23), (30, 1), (8, 12), (28, 4), (1, 20), (27, 29), (6, 21), (21, 28), (10, 29), (26, 27), (27, 24), (6, 0), (10, 8), (0, 19), (21, 20), (2, 29), (5, 16), (3, 24), (8, 9), (23, 9), (15, 19), (14, 9), (18, 23), (10, 12), (24, 13), (30, 25), (16, 20), (7, 29), (11, 28), (3, 14), (22, 0), (14, 4), (9, 1), (10, 28), (13, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 6), (13, 7), (37, 24), (31, 10), (34, 11), (9, 16), (16, 17), (25, 31), (16, 18), (19, 14), (5, 15), (1, 11), (22, 5), (16, 4), (16, 11), (3, 25), (0, 7), (10, 13), (21, 2), (21, 28), (4, 1), (8, 31), (22, 10), (30, 22), (28, 26), (11, 11), (29, 4), (13, 14), (24, 13), (24, 5), (5, 22), (3, 7), (30, 19), (8, 18), (29, 13), (32, 24), (1, 27), (19, 4), (21, 26), (33, 16), (23, 30), (18, 8), (5, 2), (15, 29), (13, 24), (20, 16), (35, 3), (2, 29), (32, 8), (2, 24), (35, 13), (11, 21), (2, 30), (23, 24), (32, 13), (2, 13), (21, 27), (14, 14), (20, 5), (14, 17), (12, 20), (27, 8), (10, 5), (35, 6), (18, 20), (25, 5), (28, 24), (15, 6), (0, 22), (5, 8), (27, 5), (28, 31), (2, 15), (11, 8), (30, 28), (12, 19), (35, 5), (28, 30), (29, 29), (8, 16), (6, 6), (9, 15), (17, 20), (37, 29), (18, 13), (5, 21), (12, 9), (13, 5), (30, 1), (18, 3), (10, 7), (5, 20), (23, 31), (35, 28), (36, 26), (27, 20), (33, 27), (21, 9), (35, 4), (3, 26), (19, 28), (11, 20), (12, 3), (34, 26), (22, 15), (34, 14), (26, 28), (12, 30), (3, 8), (9, 28), (19, 6), (12, 7), (23, 17), (15, 3), (1, 2), (10, 26), (14, 22), (36, 5), (6, 18), (17, 6), (7, 29), (30, 17), (24, 0), (0, 25), (11, 16), (14, 12), (33, 21), (4, 7), (4, 23), (15, 13), (32, 9), (24, 30), (16, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 39x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (37, 14), (0, 26), (0, 22), (27, 35), (4, 4), (26, 25), (23, 33), (30, 18), (16, 31), (0, 31), (17, 28), (0, 23), (18, 24), (6, 2), (38, 34), (36, 24), (34, 7), (17, 15), (19, 2), (0, 5), (17, 18), (25, 27), (16, 19), (8, 7), (38, 21), (29, 14), (1, 5), (38, 24), (35, 2), (23, 36), (10, 35), (12, 14), (22, 0), (33, 2), (19, 29), (10, 23), (13, 32), (37, 26), (31, 33), (5, 24), (3, 17), (2, 24), (24, 4), (30, 11), (34, 27), (34, 4), (7, 5), (38, 9), (17, 8), (7, 29), (27, 5), (24, 22), (10, 4), (4, 21), (14, 21), (36, 15), (2, 11), (29, 31), (13, 6), (14, 11), (36, 7), (37, 32), (24, 30), (33, 7), (2, 29), (4, 0), (28, 29), (26, 26), (33, 3), (4, 30), (20, 12), (10, 21), (17, 24), (23, 3), (10, 19), (5, 6), (16, 18), (34, 25), (19, 1), (8, 20), (31, 10), (12, 27), (14, 25), (23, 34), (5, 22), (38, 23), (27, 32), (25, 1), (22, 17), (28, 13), (22, 5), (32, 12), (27, 2), (12, 8), (11, 6), (18, 35), (16, 17), (1, 8), (36, 12), (38, 28), (4, 17), (13, 19), (3, 20), (21, 11), (38, 12), (26, 18), (23, 26), (3, 25), (36, 21), (4, 16), (32, 17), (33, 0), (1, 22), (30, 24), (24, 11), (35, 4), (34, 1), (31, 20), (32, 14), (21, 34), (26, 5), (3, 7), (36, 25), (5, 11), (3, 11), (29, 9), (14, 28), (7, 35), (9, 7), (20, 34), (34, 15), (8, 15), (7, 10), (27, 6), (23, 13), (14, 19), (15, 22), (36, 11), (3, 36), (7, 33), (19, 24), (0, 19), (9, 28), (31, 19), (13, 9), (25, 13), (14, 17), (28, 21), (35, 30), (31, 0), (16, 23), (18, 13), (1, 21), (14, 27), (23, 21), (11, 30), (12, 13), (18, 7), (36, 23), (28, 15), (15, 31), (36, 0), (15, 20), (2, 18), (31, 32), (18, 28), (6, 6), (20, 26), (6, 12), (12, 0), (18, 8), (33, 17), (12, 10), (1, 16), (9, 14), (6, 16), (18, 1), (5, 9), (26, 20), (37, 0), (3, 26), (9, 9), (24, 7), (32, 26), (24, 10), (31, 36), (38, 14), (28, 6), (9, 13), (18, 6), (7, 32), (0, 24), (14, 6), (23, 23), (26, 0), (17, 35), (1, 32), (7, 26), (22, 20), (0, 12), (17, 16), (32, 35), (32, 7), (23, 11), (21, 5), (21, 36), (13, 33), (34, 10), (11, 13), (36, 6), (14, 34), (2, 19), (22, 11), (35, 15), (25, 36), (18, 21), (18, 0), (23, 1), (11, 23), (20, 16), (19, 26), (14, 29), (22, 23), (3, 35), (17, 2), (24, 27), (19, 12), (11, 0), (5, 7), (16, 11), (5, 20), (11, 36), (6, 3), (21, 16), (11, 5), (34, 23), (27, 9), (17, 10), (26, 3), (37, 8), (8, 10), (37, 35), (16, 32), (20, 20), (1, 31), (21, 8), (11, 26), (7, 24), (4, 15), (22, 35), (17, 30), (1, 4), (25, 10), (29, 2), (31, 35), (11, 8), (11, 28), (36, 19), (35, 7), (35, 11), (22, 18), (8, 0), (19, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 10), (23, 7), (1, 10), (7, 10), (15, 16), (29, 11), (8, 7), (18, 4), (1, 12), (30, 10), (6, 15), (20, 28), (22, 26), (19, 8), (15, 17), (14, 28), (0, 6), (28, 17), (24, 20), (7, 24), (11, 4), (22, 13), (27, 8), (4, 31), (6, 27), (0, 5), (9, 16), (0, 26), (15, 29), (14, 19), (4, 29), (17, 28), (5, 13), (2, 18), (2, 23), (0, 24), (20, 5), (30, 27), (2, 10), (22, 3), (10, 15), (7, 29), (22, 19), (15, 22), (16, 22), (21, 12), (17, 25), (30, 23), (1, 6), (12, 14), (24, 18), (15, 28), (10, 14), (13, 1), (20, 15), (9, 25), (13, 17), (14, 1), (3, 17), (28, 20), (30, 25), (12, 6), (5, 24), (16, 29), (9, 0), (8, 1), (19, 19), (7, 9), (0, 29), (14, 27), (13, 9), (22, 22), (15, 7), (14, 11), (21, 28), (8, 15), (9, 9), (29, 26), (21, 23), (16, 1), (19, 15), (23, 28), (16, 27), (4, 19), (23, 14), (1, 2), (28, 12), (30, 22), (18, 0), (28, 15), (21, 10), (3, 9), (8, 3), (19, 10), (8, 25), (19, 1), (9, 19), (22, 0), (6, 18), (6, 23), (2, 22), (21, 29), (13, 21), (24, 22), (29, 31), (18, 10), (15, 6), (21, 14), (4, 22), (21, 25), (8, 13), (8, 28), (0, 15), (25, 13), (15, 10), (28, 9), (11, 13), (1, 15), (8, 9), (22, 9), (24, 31), (21, 30), (8, 18), (5, 15), (22, 17), (3, 22), (29, 29), (11, 0), (2, 15), (8, 30), (17, 27), (29, 9), (27, 7), (5, 1), (1, 22), (10, 31), (1, 11), (12, 18), (25, 2), (10, 13), (11, 19), (2, 19), (6, 22), (14, 5), (12, 27), (10, 7), (27, 13), (24, 12), (11, 16), (1, 31), (22, 8), (13, 6), (23, 9), (13, 4), (23, 26), (0, 8), (26, 29), (3, 8), (18, 31), (7, 12), (28, 16), (13, 15), (16, 7), (13, 16), (7, 4), (24, 5), (15, 12), (12, 2), (24, 26), (0, 17), (15, 20), (20, 31), (5, 26), (28, 27), (2, 3), (22, 30), (0, 12), (20, 11), (2, 30), (6, 6), (18, 29), (18, 28), (2, 24), (6, 20), (20, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 33x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 35), (15, 23), (25, 17), (10, 33), (30, 29), (15, 11), (13, 19), (9, 5), (21, 29), (29, 19), (21, 0), (32, 12), (25, 30), (17, 4), (5, 17), (1, 21), (2, 12), (32, 34), (31, 12), (26, 1), (8, 8), (25, 4), (22, 21), (1, 6), (27, 30), (1, 9), (8, 16), (21, 21), (15, 28), (16, 37), (3, 0), (6, 29), (6, 16), (10, 11), (8, 2), (30, 24), (24, 22), (32, 9), (4, 18), (23, 18), (22, 4), (28, 30), (23, 23), (31, 28), (8, 17), (9, 27), (22, 6), (3, 22), (21, 1), (13, 2), (13, 8), (30, 25), (13, 36), (21, 16), (14, 30), (23, 16), (28, 1), (24, 26), (19, 31), (26, 21), (10, 15), (1, 20), (22, 27), (32, 11), (19, 30), (24, 1), (29, 34), (18, 2), (1, 26), (25, 7), (23, 6), (27, 35), (24, 17), (2, 17), (1, 3), (24, 33), (32, 4), (18, 24), (32, 25), (32, 20), (20, 37), (1, 13), (3, 17), (10, 6), (1, 18), (23, 15), (4, 23), (32, 18), (0, 30), (6, 7), (31, 9), (11, 33), (6, 20), (26, 2), (17, 34), (16, 8), (15, 38), (26, 14), (26, 26), (17, 7), (23, 4), (20, 20), (2, 9), (4, 30), (24, 25), (8, 13), (0, 36), (16, 4), (4, 36), (7, 12), (5, 20), (1, 16), (12, 31), (7, 20), (20, 32), (9, 26), (26, 3), (25, 33), (10, 13), (18, 13), (0, 6), (2, 5), (22, 24), (14, 3), (26, 15), (3, 30), (27, 7), (3, 38), (0, 38), (14, 22), (27, 1), (31, 30), (1, 29), (4, 26), (5, 8), (10, 36), (23, 12), (4, 6), (14, 21), (12, 32), (13, 38), (18, 17), (27, 24), (32, 37), (32, 1), (31, 10), (19, 23), (22, 36), (9, 25), (7, 22), (13, 33), (0, 10), (9, 10), (12, 6), (13, 18), (26, 9), (3, 10), (29, 11), (20, 19), (1, 5), (1, 30), (20, 2), (9, 4), (15, 21), (15, 17), (25, 16), (0, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 28), (6, 8), (19, 24), (16, 4), (17, 16), (30, 22), (22, 24), (27, 16), (9, 14), (15, 0), (29, 2), (24, 25), (14, 18), (16, 27), (12, 16), (0, 31), (19, 21), (29, 32), (16, 18), (15, 20), (31, 1), (14, 15), (9, 3), (13, 18), (12, 25), (14, 8), (9, 32), (29, 8), (4, 1), (15, 21), (8, 0), (17, 18), (3, 14), (1, 0), (5, 5), (31, 23), (22, 25), (30, 5), (11, 1), (18, 12), (13, 16), (30, 7), (31, 12), (4, 13), (17, 24), (4, 29), (10, 16), (26, 11), (16, 22), (18, 28), (2, 21), (2, 28), (30, 32), (17, 1), (29, 17), (13, 19), (1, 13), (3, 22), (10, 4), (30, 2), (5, 18), (29, 18), (2, 0), (22, 27), (3, 17), (30, 31), (10, 9), (29, 3), (15, 5), (24, 3), (28, 23), (18, 13), (3, 12), (31, 27), (4, 8), (3, 16), (14, 25), (20, 15), (13, 21), (11, 11), (2, 9), (5, 15), (15, 6), (18, 21), (26, 22), (0, 17), (15, 24), (18, 25), (4, 9), (18, 0), (4, 5), (26, 9), (29, 13), (30, 20), (20, 29), (31, 11), (17, 11), (20, 20), (19, 9), (21, 3), (1, 1), (7, 4), (14, 5), (20, 27), (3, 21), (12, 8), (30, 15), (4, 3), (22, 20), (18, 20), (4, 17), (13, 14), (29, 25), (3, 2), (16, 14), (14, 30), (1, 25), (5, 6), (7, 24), (25, 16), (19, 25), (20, 14), (9, 12), (1, 16), (19, 12), (18, 1), (26, 0), (5, 8), (24, 21), (21, 0), (8, 24), (22, 7), (27, 18), (5, 16), (28, 12), (2, 7), (27, 10), (6, 30), (30, 10), (23, 23), (25, 32), (2, 22), (23, 19), (10, 26), (4, 22), (7, 1), (11, 22), (16, 24), (22, 18), (16, 28), (27, 14), (11, 25), (12, 30), (29, 10), (14, 4), (30, 4), (6, 4), (18, 4), (27, 11), (0, 32), (24, 11), (16, 21), (20, 11), (17, 26), (27, 12), (24, 17), (11, 5), (12, 32), (4, 32), (3, 8), (1, 19), (12, 6), (16, 31), (6, 31), (11, 17), (15, 28), (5, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 19), (32, 26), (28, 6), (27, 35), (28, 7), (15, 30), (31, 10), (25, 21), (30, 18), (27, 13), (24, 31), (23, 9), (11, 33), (15, 33), (10, 27), (5, 31), (27, 3), (8, 36), (31, 25), (3, 21), (20, 8), (7, 4), (0, 30), (20, 19), (20, 12), (10, 34), (2, 33), (1, 20), (3, 35), (27, 16), (22, 26), (18, 5), (11, 8), (23, 4), (21, 4), (1, 14), (7, 30), (13, 16), (26, 34), (20, 15), (7, 1), (13, 27), (18, 33), (16, 26), (11, 19), (3, 29), (31, 34), (27, 10), (9, 5), (10, 23), (10, 15), (8, 18), (8, 11), (10, 3), (4, 19), (16, 8), (31, 35), (13, 12), (10, 1), (31, 9), (8, 23), (13, 36), (16, 28), (3, 33), (29, 12), (8, 26), (26, 24), (24, 29), (29, 26), (26, 5), (30, 36), (33, 23), (31, 13), (13, 11), (7, 7), (25, 20), (16, 15), (11, 24), (2, 26), (16, 32), (0, 13), (1, 24), (19, 13), (19, 3), (23, 33), (16, 21), (22, 12), (32, 1), (10, 7), (26, 0), (16, 30), (28, 8), (17, 30), (20, 30), (10, 0), (1, 21), (0, 3), (2, 8), (19, 36), (27, 30), (24, 34), (29, 9), (20, 4), (11, 36), (31, 23), (11, 16), (2, 2), (32, 13), (4, 14), (32, 17), (1, 30), (30, 25), (15, 2), (24, 11), (18, 30), (21, 15), (20, 29), (20, 24), (31, 28), (1, 6), (1, 2), (13, 15), (21, 9), (27, 12), (31, 12), (9, 14), (19, 12), (30, 31), (18, 31), (27, 2), (18, 35), (16, 34), (16, 18), (14, 5), (30, 13), (14, 32), (21, 26), (6, 9), (8, 12), (6, 5), (2, 1), (18, 27), (22, 35), (0, 26), (34, 31), (10, 12), (33, 20), (3, 26), (30, 3), (5, 22), (34, 5), (14, 4), (16, 19), (21, 3), (17, 19), (19, 18), (32, 11), (11, 13), (11, 10), (21, 5), (18, 6), (13, 20), (3, 28), (1, 10), (22, 4), (33, 4), (6, 31), (19, 7), (19, 35), (23, 13), (15, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 6), (26, 2), (0, 21), (28, 5), (3, 20), (19, 5), (12, 0), (17, 22), (26, 23), (23, 17), (18, 33), (27, 24), (21, 17), (20, 3), (1, 5), (20, 18), (14, 9), (18, 31), (23, 29), (6, 5), (14, 2), (28, 12), (10, 26), (9, 6), (9, 16), (18, 34), (18, 8), (3, 0), (6, 10), (15, 3), (7, 33), (3, 25), (5, 17), (5, 2), (23, 20), (4, 29), (13, 0), (29, 2), (13, 14), (21, 9), (29, 4), (13, 4), (27, 9), (18, 29), (0, 31), (6, 13), (28, 2), (7, 22), (22, 15), (17, 26), (17, 29), (13, 10), (15, 21), (24, 18), (4, 28), (21, 16), (9, 20), (19, 18), (12, 22), (24, 27), (2, 0), (20, 34), (10, 28), (11, 34), (6, 22), (3, 33), (14, 20), (23, 19), (21, 15), (0, 11), (0, 7), (7, 25), (22, 31), (4, 6), (25, 8), (17, 3), (27, 26), (22, 13), (24, 17), (11, 5), (2, 5), (5, 28), (8, 29), (26, 3), (12, 28), (14, 4), (1, 28), (0, 2), (12, 2), (1, 14), (24, 25), (3, 14), (10, 22), (5, 9), (28, 6), (13, 25), (10, 8), (0, 1), (3, 34), (20, 32), (0, 5), (22, 23), (2, 11), (5, 11), (7, 34), (9, 19), (8, 15), (7, 19), (2, 24), (15, 22), (9, 17), (20, 30), (20, 24), (24, 11), (2, 8), (16, 3), (4, 23), (3, 16), (19, 12), (27, 14), (29, 20), (21, 13), (20, 2), (15, 34), (13, 31), (5, 4), (23, 30), (16, 29), (6, 32), (6, 31), (27, 32), (17, 7), (25, 6), (5, 15), (6, 18), (0, 30), (1, 15), (9, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 18), (1, 14), (18, 3), (6, 28), (7, 31), (24, 6), (6, 18), (6, 7), (32, 30), (26, 20), (33, 10), (22, 0), (13, 1), (4, 8), (25, 30), (13, 22), (11, 9), (21, 15), (24, 25), (31, 37), (23, 9), (9, 34), (30, 25), (7, 9), (24, 9), (26, 18), (13, 13), (24, 0), (25, 7), (29, 23), (24, 33), (1, 2), (30, 8), (31, 21), (9, 25), (8, 32), (20, 8), (24, 20), (21, 13), (20, 15), (26, 11), (32, 4), (12, 23), (11, 11), (19, 21), (24, 17), (23, 30), (6, 13), (24, 11), (19, 25), (25, 4), (20, 21), (27, 12), (6, 37), (12, 28), (29, 31), (2, 37), (10, 28), (24, 15), (17, 28), (30, 35), (30, 3), (5, 0), (19, 29), (11, 37), (16, 21), (22, 8), (22, 23), (1, 5), (9, 20), (13, 31), (26, 10), (19, 11), (15, 14), (4, 32), (10, 25), (19, 12), (22, 18), (18, 4), (23, 12), (32, 27), (27, 30), (12, 27), (13, 0), (13, 6), (15, 2), (23, 13), (5, 34), (25, 36), (21, 32), (5, 2), (31, 15), (9, 27), (33, 17), (14, 6), (0, 24), (0, 22), (16, 12), (25, 26), (26, 34), (5, 7), (26, 8), (6, 17), (23, 0), (23, 23), (3, 17), (25, 14), (26, 32), (4, 28), (1, 19), (33, 24), (7, 32), (5, 1), (0, 37), (19, 33), (10, 24), (30, 7), (8, 22), (5, 14), (32, 14), (6, 5), (19, 32), (18, 24), (0, 23), (5, 12), (18, 1), (25, 34), (11, 2), (9, 16), (2, 5), (16, 27), (20, 11), (23, 3), (15, 6), (17, 19), (0, 20), (3, 19), (27, 4), (2, 27), (5, 29), (11, 30), (25, 9), (25, 8), (33, 5), (25, 29), (10, 32), (30, 1), (32, 12), (15, 13), (12, 2), (14, 27), (21, 3), (32, 6), (10, 14), (29, 17), (32, 23), (17, 31), (30, 24), (2, 9), (4, 13), (10, 33), (33, 3), (29, 36), (1, 29), (6, 12), (15, 22), (13, 27), (33, 9), (8, 25), (4, 37), (11, 23), (6, 16), (33, 20), (1, 37), (13, 3), (7, 25), (32, 11), (14, 11), (31, 7), (15, 19), (29, 30), (17, 21), (9, 10), (13, 34), (8, 7), (22, 4), (9, 12), (27, 14), (7, 23), (26, 19), (12, 10), (24, 16), (33, 25), (3, 20), (28, 15), (6, 0), (9, 19), (22, 35), (28, 24), (11, 10), (3, 31), (29, 12), (0, 6), (12, 24), (27, 34), (2, 34), (8, 23), (12, 21), (19, 5), (21, 34), (10, 5), (3, 21), (20, 24), (8, 14), (29, 4), (22, 22), (22, 10), (6, 34), (23, 25), (0, 32), (3, 24), (15, 16), (10, 21), (31, 22), (21, 14), (27, 8), (5, 36), (28, 7), (10, 1), (10, 13), (33, 33), (27, 11), (10, 31), (14, 23), (10, 10), (33, 14), (29, 35), (24, 12), (20, 33), (6, 30), (20, 17), (8, 2), (21, 4), (20, 1), (15, 8), (13, 29), (30, 16), (7, 11), (0, 14), (2, 13), (23, 14), (25, 16), (5, 23), (12, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 2), (11, 17), (8, 1), (26, 23), (24, 22), (28, 25), (22, 1), (34, 25), (12, 22), (23, 27), (9, 23), (15, 8), (5, 16), (6, 9), (31, 22), (18, 6), (22, 21), (11, 10), (23, 3), (35, 26), (3, 31), (16, 16), (3, 11), (17, 24), (10, 0), (4, 10), (20, 3), (6, 15), (19, 15), (22, 31), (35, 16), (2, 21), (31, 31), (8, 23), (28, 12), (14, 17), (8, 19), (4, 27), (26, 31), (22, 20), (18, 14), (10, 19), (10, 29), (13, 22), (6, 16), (7, 23), (24, 19), (10, 10), (21, 1), (13, 10), (7, 20), (28, 3), (7, 16), (30, 29), (32, 6), (20, 6), (4, 15), (31, 14), (5, 27), (0, 1), (25, 16), (9, 15), (23, 19), (29, 8), (21, 17), (20, 8), (0, 13), (14, 15), (5, 30), (3, 13), (10, 4), (18, 30), (29, 23), (35, 29), (30, 12), (22, 2), (32, 23), (17, 4), (33, 24), (9, 3), (27, 7), (15, 11), (28, 30), (4, 24), (29, 21), (9, 13), (28, 13), (28, 8), (6, 31), (15, 20), (13, 24), (23, 26), (17, 9), (16, 18), (34, 18), (8, 9), (13, 11), (10, 7), (15, 28), (34, 22), (1, 27), (6, 0), (11, 28), (4, 13), (4, 1), (31, 13), (21, 14), (15, 9), (34, 21), (26, 4), (10, 20), (20, 0), (15, 29), (29, 22), (21, 30), (32, 20), (16, 19), (32, 18), (27, 12), (14, 6), (32, 13), (29, 17), (10, 22), (11, 11), (31, 27), (6, 18), (11, 0), (0, 19), (9, 24), (30, 4), (32, 17), (8, 11), (23, 2), (9, 4), (4, 26), (32, 5), (18, 23), (28, 9), (0, 20), (18, 21), (10, 5), (30, 2), (29, 1), (8, 4), (11, 2), (5, 17), (10, 18), (30, 16), (9, 18), (3, 19), (28, 26), (22, 8), (7, 25), (25, 31), (18, 24), (10, 17), (11, 9), (35, 25), (19, 5), (9, 16), (2, 12), (0, 11), (28, 16), (14, 14), (27, 0), (12, 11), (35, 17), (22, 4), (35, 10), (22, 0), (25, 21), (29, 10), (21, 6), (16, 23), (25, 4), (26, 13), (2, 29), (19, 2), (3, 12), (18, 9), (0, 15), (32, 7), (2, 19), (25, 24), (34, 30), (30, 9), (26, 6), (34, 8), (34, 16), (13, 5), (10, 25), (2, 5), (18, 12), (35, 18), (24, 31), (2, 1), (8, 6), (9, 8), (13, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 14), (18, 1), (1, 27), (11, 20), (26, 10), (9, 10), (4, 6), (25, 18), (11, 19), (26, 25), (16, 1), (27, 1), (0, 30), (29, 2), (13, 30), (10, 6), (13, 36), (24, 7), (27, 10), (17, 1), (0, 6), (20, 0), (0, 33), (15, 26), (1, 22), (6, 9), (22, 37), (3, 11), (5, 25), (25, 5), (0, 15), (3, 24), (25, 36), (5, 22), (21, 13), (23, 31), (22, 31), (12, 32), (24, 36), (25, 28), (23, 10), (3, 30), (29, 10), (29, 1), (16, 12), (7, 28), (12, 12), (23, 4), (25, 7), (28, 19), (23, 15), (15, 23), (8, 24), (28, 13), (28, 33), (21, 36), (23, 11), (24, 33), (8, 5), (2, 16), (5, 4), (19, 19), (4, 24), (18, 2), (16, 25), (20, 22), (27, 24), (30, 3), (15, 15), (27, 22), (18, 4), (30, 26), (11, 5), (20, 9), (21, 6), (2, 18), (14, 28), (12, 15), (7, 20), (25, 17), (0, 34), (28, 37), (9, 28), (11, 26), (23, 3), (26, 9), (0, 17), (17, 9), (12, 37), (5, 12), (20, 2), (12, 18), (23, 23), (5, 29), (23, 2), (5, 11), (15, 20), (2, 15), (30, 28), (22, 15), (25, 13), (4, 17), (13, 16), (27, 11), (2, 13), (21, 5), (11, 17), (9, 6), (7, 10), (23, 24), (15, 4), (1, 34), (5, 16), (0, 7), (18, 21), (17, 11), (29, 3), (24, 8), (25, 24), (19, 29), (16, 7), (27, 5), (16, 16), (19, 32), (20, 23), (22, 9), (4, 37), (29, 30), (27, 33), (0, 22), (4, 2), (1, 3), (13, 4), (28, 26), (22, 32), (2, 31), (24, 25), (21, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 13), (32, 24), (17, 23), (13, 18), (34, 28), (6, 9), (8, 12), (31, 26), (7, 29), (22, 5), (17, 25), (3, 5), (0, 11), (24, 22), (20, 22), (35, 13), (15, 0), (33, 9), (19, 21), (35, 7), (16, 2), (19, 5), (29, 21), (1, 15), (3, 24), (6, 22), (21, 1), (30, 3), (2, 25), (3, 8), (35, 25), (32, 29), (6, 23), (7, 14), (5, 4), (9, 7), (21, 3), (18, 13), (5, 23), (11, 4), (1, 26), (23, 7), (33, 2), (16, 30), (21, 2), (31, 8), (1, 13), (10, 27), (14, 30), (33, 26), (5, 27), (7, 27), (15, 19), (24, 7), (28, 8), (19, 22), (19, 4), (26, 12), (7, 20), (14, 29), (5, 30), (16, 11), (29, 3), (7, 7), (3, 26), (12, 20), (26, 4), (22, 27), (32, 3), (26, 21), (30, 14), (28, 26), (12, 13), (24, 18), (29, 16), (13, 15), (24, 27), (24, 6), (8, 21), (27, 22), (19, 27), (30, 8), (13, 8), (24, 26), (34, 4), (12, 27), (10, 7), (28, 11), (0, 30), (8, 7), (17, 6), (20, 23), (3, 0), (4, 13), (12, 7), (17, 22), (28, 21), (2, 11), (14, 28), (1, 21), (30, 27), (3, 16), (6, 27), (5, 17), (13, 26), (24, 8), (22, 23), (15, 28), (28, 24), (31, 15), (1, 2), (27, 13), (31, 29), (23, 26), (26, 17), (17, 9), (18, 24), (33, 29), (2, 24), (31, 9), (11, 5), (35, 5), (27, 30), (3, 15), (1, 6), (14, 5), (15, 23), (28, 6), (9, 15), (25, 24), (14, 1), (6, 16), (34, 25), (28, 27), (6, 3), (8, 30), (6, 14), (15, 21), (9, 20), (32, 8), (9, 9), (15, 2), (16, 18), (27, 2), (34, 21), (8, 17), (32, 10), (33, 8), (10, 0), (17, 1), (12, 14), (3, 13), (17, 19), (18, 15), (10, 14), (33, 5), (34, 15), (8, 16), (21, 27), (20, 26), (7, 4), (6, 21), (12, 12), (8, 24), (18, 8), (10, 12), (5, 19), (13, 27), (5, 20), (19, 12), (9, 25), (32, 20), (27, 3), (14, 8), (18, 1), (6, 13), (31, 20), (11, 20), (18, 16), (8, 0), (6, 19), (19, 7), (31, 13), (1, 14), (21, 5), (9, 0), (13, 2), (6, 28), (29, 0), (25, 3), (21, 10), (3, 14), (11, 25), (25, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 33x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 36), (9, 34), (28, 7), (5, 27), (28, 35), (1, 22), (24, 20), (32, 30), (0, 16), (4, 0), (30, 7), (7, 35), (15, 17), (8, 7), (28, 33), (16, 15), (10, 20), (28, 0), (15, 21), (3, 15), (9, 13), (21, 33), (11, 22), (1, 1), (16, 21), (8, 29), (23, 7), (26, 2), (16, 9), (22, 11), (32, 25), (23, 33), (32, 23), (7, 31), (31, 19), (10, 26), (17, 10), (21, 9), (8, 33), (19, 6), (3, 35), (28, 32), (30, 11), (13, 7), (28, 10), (18, 30), (15, 31), (6, 10), (27, 20), (10, 9), (6, 11), (3, 0), (0, 35), (2, 12), (23, 28), (32, 24), (24, 32), (15, 15), (24, 2), (28, 1), (5, 5), (28, 27), (12, 9), (14, 22), (1, 30), (29, 16), (29, 15), (11, 2), (29, 34), (31, 14), (32, 34), (1, 10), (21, 5), (16, 2), (29, 6), (6, 18), (18, 22), (1, 14), (29, 21), (29, 28), (2, 23), (6, 28), (1, 3), (15, 14), (20, 35), (27, 9), (15, 9), (0, 29), (9, 17), (16, 29), (5, 33), (15, 4), (14, 31), (23, 32), (23, 25), (12, 0), (18, 15), (22, 8), (28, 15), (13, 27), (6, 32), (31, 27), (9, 12), (20, 34), (16, 34), (27, 18), (19, 11), (25, 17), (14, 19), (1, 12), (7, 17), (6, 22), (8, 13), (12, 12), (32, 22), (4, 33), (23, 10), (31, 7), (20, 36), (1, 17), (5, 17), (20, 29), (6, 36), (16, 11), (21, 4), (7, 21), (29, 7), (19, 29), (2, 15), (21, 3), (3, 18), (9, 18), (25, 8), (27, 34), (20, 0), (12, 23), (31, 3), (0, 23), (32, 11), (32, 16), (22, 7), (8, 16), (15, 0), (2, 4), (8, 35), (16, 18), (7, 16), (14, 10), (11, 32), (31, 12), (6, 17), (27, 31), (20, 13), (24, 11), (3, 21), (30, 33), (28, 29), (24, 5), (15, 3), (6, 24), (28, 14), (21, 25), (5, 18), (23, 16), (17, 0), (18, 2), (8, 25), (25, 0), (7, 12), (8, 8), (9, 2), (13, 36), (25, 11), (29, 35), (13, 8), (1, 31), (24, 16), (14, 35), (21, 35), (27, 6), (5, 31), (10, 14), (12, 2), (17, 17), (7, 8), (22, 19), (5, 2), (11, 20), (21, 7), (16, 19), (10, 16), (16, 4), (7, 28), (31, 24), (32, 8), (13, 12), (25, 9), (6, 1), (31, 26), (18, 6), (21, 23), (3, 36), (5, 28), (0, 14), (18, 14), (20, 17), (32, 13), (5, 29), (1, 15), (27, 21), (20, 15), (5, 8), (1, 21), (11, 21), (24, 26), (11, 3), (4, 3), (26, 5), (23, 21), (9, 30), (20, 33), (27, 28), (31, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 33x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 4), (18, 7), (23, 27), (2, 29), (24, 21), (31, 33), (23, 35), (13, 20), (3, 6), (29, 27), (31, 13), (32, 2), (10, 33), (30, 23), (24, 30), (4, 0), (24, 14), (16, 4), (25, 25), (12, 1), (11, 26), (5, 17), (10, 5), (22, 26), (25, 31), (32, 5), (12, 15), (7, 20), (18, 3), (2, 31), (23, 38), (23, 29), (14, 30), (30, 6), (7, 3), (11, 15), (16, 13), (13, 1), (17, 6), (13, 26), (1, 13), (29, 18), (14, 19), (16, 1), (29, 14), (7, 36), (28, 29), (7, 35), (1, 38), (22, 20), (27, 5), (18, 0), (1, 11), (20, 20), (12, 34), (8, 8), (13, 10), (24, 10), (25, 28), (22, 29), (0, 17), (16, 5), (5, 29), (11, 9), (19, 23), (5, 10), (11, 2), (31, 24), (14, 3), (29, 11), (8, 26), (15, 14), (8, 22), (14, 34), (18, 1), (18, 5), (27, 32), (23, 16), (8, 28), (19, 31), (9, 37), (27, 4), (31, 2), (4, 38), (2, 36), (8, 30), (13, 0), (20, 18), (8, 21), (26, 27), (22, 2), (19, 14), (1, 3), (18, 11), (29, 25), (31, 16), (8, 12), (3, 18), (32, 28), (1, 32), (19, 26), (8, 19), (31, 3), (29, 38), (25, 29), (15, 21), (7, 5), (3, 27), (0, 24), (16, 0), (16, 7), (5, 25), (6, 28), (29, 0), (10, 13), (32, 23), (25, 8), (4, 4), (8, 29), (21, 4), (24, 11), (18, 32), (22, 16), (15, 5), (0, 9), (3, 7), (11, 8), (17, 30), (12, 2), (19, 30), (28, 19), (15, 24), (8, 13), (24, 3), (18, 13), (7, 0), (10, 10), (23, 34), (20, 27), (26, 18), (16, 6), (25, 6), (14, 14), (5, 6), (12, 33), (27, 35), (27, 29), (8, 6), (5, 27), (0, 33), (2, 7), (5, 38), (9, 36), (25, 15), (10, 31), (4, 11), (28, 36), (21, 5), (30, 38), (21, 18), (5, 12), (24, 9), (5, 18), (14, 38), (24, 34), (22, 27), (18, 20), (5, 32), (20, 7), (10, 12), (19, 4), (21, 23), (24, 24), (16, 24), (8, 38), (18, 34), (17, 1), (20, 26), (12, 31), (5, 20), (24, 19), (1, 27), (10, 29), (31, 9), (28, 23), (11, 3), (7, 14), (27, 28), (21, 35), (27, 33), (19, 8), (21, 12), (17, 7), (27, 23), (0, 19), (15, 20), (3, 1), (1, 31), (29, 21), (14, 7), (14, 23), (28, 9), (11, 18), (0, 8), (18, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 6), (28, 28), (25, 33), (13, 18), (15, 34), (10, 18), (16, 19), (1, 22), (14, 34), (16, 11), (8, 29), (1, 4), (12, 8), (20, 2), (16, 10), (1, 11), (29, 33), (6, 22), (23, 15), (0, 9), (20, 6), (8, 19), (10, 26), (5, 5), (8, 4), (21, 13), (27, 29), (15, 2), (12, 16), (12, 9), (8, 28), (6, 5), (30, 5), (25, 2), (25, 12), (16, 17), (22, 31), (9, 32), (14, 23), (27, 14), (18, 0), (13, 33), (9, 17), (29, 9), (20, 11), (15, 28), (25, 9), (17, 33), (28, 1), (15, 18), (23, 34), (23, 9), (5, 15), (30, 16), (24, 23), (28, 11), (2, 1), (12, 17), (11, 19), (30, 11), (29, 18), (6, 13), (7, 0), (16, 18), (5, 17), (0, 21), (18, 16), (24, 22), (1, 27), (7, 12), (0, 30), (27, 24), (27, 23), (4, 29), (24, 2), (5, 32), (9, 23), (8, 20), (25, 16), (18, 27), (6, 6), (22, 22), (3, 17), (9, 13), (30, 10), (27, 10), (14, 12), (26, 33), (27, 0), (25, 6), (7, 31), (27, 13), (12, 20), (28, 24), (2, 3), (11, 9), (24, 28), (10, 8), (28, 26), (1, 26), (26, 9), (27, 4), (20, 5), (5, 11), (15, 31), (17, 3), (10, 10), (12, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 29), (24, 1), (28, 36), (5, 12), (8, 24), (5, 27), (33, 14), (15, 27), (25, 32), (1, 31), (30, 14), (18, 8), (17, 23), (0, 28), (26, 35), (33, 5), (11, 30), (0, 24), (9, 35), (23, 14), (14, 16), (9, 25), (31, 16), (33, 24), (4, 16), (13, 6), (10, 15), (0, 17), (21, 36), (30, 7), (2, 8), (28, 21), (16, 22), (24, 25), (30, 23), (26, 33), (1, 28), (9, 18), (24, 18), (25, 22), (33, 34), (29, 37), (29, 23), (18, 31), (22, 0), (9, 34), (19, 8), (17, 34), (16, 6), (8, 0), (27, 24), (31, 36), (31, 20), (6, 3), (33, 31), (2, 18), (18, 35), (27, 5), (11, 25), (0, 16), (33, 25), (18, 16), (10, 19), (21, 3), (3, 21), (4, 19), (3, 7), (11, 36), (14, 14), (6, 9), (23, 4), (27, 21), (21, 18), (6, 11), (24, 10), (18, 15), (6, 5), (9, 12), (14, 37), (21, 30), (5, 19), (27, 8), (32, 33), (6, 18), (1, 24), (32, 14), (28, 12), (33, 4), (5, 22), (0, 3), (27, 4), (17, 2), (9, 9), (9, 13), (9, 22), (21, 6), (25, 15), (24, 11), (32, 9), (6, 30), (6, 33), (0, 9), (12, 33), (29, 31), (21, 35), (23, 21), (2, 23), (26, 16), (11, 34), (7, 36), (5, 35), (21, 8), (11, 31), (22, 27), (14, 8), (23, 18), (17, 5), (25, 10), (15, 2), (3, 30), (3, 5), (3, 32), (30, 27), (20, 8), (33, 13), (2, 28), (28, 11), (22, 28), (13, 8), (20, 19), (19, 22), (26, 22), (28, 3), (7, 7), (26, 10), (28, 9), (13, 23), (23, 23), (10, 31), (1, 29), (2, 0), (15, 32), (4, 0), (26, 13), (9, 19), (32, 24), (20, 36), (27, 29), (25, 16), (12, 27), (29, 18), (15, 31), (14, 33), (22, 6), (31, 7), (2, 33), (24, 35), (12, 32), (25, 21), (26, 14), (5, 8), (33, 28), (0, 37), (1, 6), (28, 19), (16, 18), (12, 25), (20, 25), (24, 28), (2, 24), (16, 37), (20, 7), (28, 22), (8, 32), (3, 27), (31, 37), (18, 6), (13, 14), (33, 22), (23, 27), (12, 29), (5, 29), (13, 31), (2, 15), (33, 12), (5, 24), (1, 14), (15, 10), (20, 31), (27, 35), (15, 29), (27, 27), (3, 37), (25, 29), (7, 35), (25, 25), (30, 34), (13, 33), (7, 18), (15, 19), (29, 30), (4, 11), (0, 36), (1, 5), (25, 3), (24, 16), (3, 26), (24, 4), (17, 24), (0, 30), (7, 25), (13, 36), (17, 32), (24, 34), (21, 21), (7, 27), (3, 22), (24, 26), (4, 29), (15, 34), (14, 15), (8, 31), (2, 35), (24, 30), (16, 4), (29, 13), (14, 23), (21, 29), (14, 34), (3, 19), (16, 29), (8, 2), (33, 9), (23, 22), (15, 23), (7, 30), (24, 20), (28, 32), (12, 7), (31, 32), (2, 14), (6, 17), (33, 35), (29, 21), (6, 2), (28, 7), (22, 4), (28, 8), (26, 23), (18, 9), (0, 14), (29, 28), (10, 30), (15, 33), (33, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "In a 35x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 11), (28, 25), (10, 31), (12, 16), (33, 8), (30, 9), (19, 0), (9, 9), (16, 8), (27, 0), (24, 12), (24, 26), (20, 1), (18, 10), (20, 18), (20, 16), (17, 9), (5, 14), (33, 20), (30, 27), (21, 33), (23, 3), (4, 16), (1, 4), (1, 21), (0, 30), (30, 28), (28, 21), (17, 33), (16, 34), (30, 0), (22, 9), (24, 16), (23, 9), (22, 31), (7, 28), (31, 1), (10, 32), (22, 28), (12, 24), (23, 6), (28, 12), (12, 0), (8, 18), (14, 0), (8, 30), (29, 19), (15, 13), (1, 33), (1, 34), (33, 26), (21, 21), (14, 29), (17, 29), (13, 34), (4, 15), (2, 17), (29, 9), (5, 10), (25, 22), (6, 8), (3, 21), (19, 33), (2, 20), (33, 27), (1, 31), (21, 26), (18, 11), (27, 3), (22, 14), (26, 3), (6, 13), (12, 28), (32, 29), (0, 33), (19, 9), (2, 2), (1, 20), (33, 2), (12, 9), (29, 16), (26, 7), (1, 27), (16, 6), (5, 8), (24, 1), (11, 32), (32, 28), (3, 2), (17, 14), (27, 9), (32, 11), (4, 7), (0, 15), (8, 24), (25, 32), (8, 7), (20, 4), (27, 8), (34, 26), (4, 3), (26, 4), (6, 23), (33, 6), (27, 34), (16, 28), (27, 16), (9, 11), (11, 0), (5, 23), (21, 5), (32, 10), (29, 29), (19, 16), (4, 32), (17, 8), (22, 15), (6, 20), (15, 8), (18, 29), (22, 25), (11, 13), (0, 8), (28, 34), (28, 26), (6, 24), (29, 6), (13, 0), (34, 29), (30, 29), (5, 13), (26, 12), (0, 18), (31, 30), (32, 23), (32, 13), (1, 19), (29, 12), (2, 34), (34, 33), (30, 15), (13, 6), (27, 10), (29, 22), (28, 16), (7, 27), (22, 22), (30, 23), (4, 27), (10, 11), (21, 2), (14, 26), (25, 2), (17, 12), (15, 19), (12, 30), (0, 13), (24, 32), (10, 10), (16, 11), (28, 22), (26, 14), (15, 5), (20, 22), (1, 24), (30, 22), (26, 5), (17, 30), (6, 27), (10, 2), (23, 32), (5, 11), (24, 6), (30, 24), (19, 13), (1, 22), (28, 33), (0, 1), (10, 26), (11, 10), (24, 7), (13, 21), (1, 1), (22, 17), (17, 23), (2, 6), (24, 11), (29, 1), (23, 31), (25, 29), (7, 11), (19, 32), (22, 12), (11, 30), (8, 33), (7, 31), (21, 19), (17, 10), (12, 20), (9, 18), (4, 30), (6, 2), (24, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 39x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 4), (36, 33), (11, 0), (16, 9), (31, 29), (7, 11), (19, 21), (37, 15), (30, 19), (6, 5), (15, 28), (33, 27), (4, 17), (32, 4), (8, 29), (24, 11), (25, 17), (5, 31), (33, 25), (29, 12), (6, 26), (15, 1), (35, 33), (14, 26), (30, 9), (2, 21), (20, 10), (16, 24), (0, 27), (1, 4), (18, 15), (25, 12), (2, 2), (28, 23), (27, 4), (3, 6), (25, 16), (21, 26), (17, 2), (21, 14), (14, 23), (7, 17), (33, 16), (24, 7), (34, 8), (26, 23), (4, 25), (31, 9), (15, 23), (4, 31), (11, 24), (36, 17), (30, 7), (9, 0), (6, 32), (18, 26), (35, 6), (15, 13), (0, 32), (28, 20), (22, 1), (22, 10), (14, 16), (31, 17), (34, 25), (30, 23), (31, 2), (27, 28), (3, 3), (5, 6), (30, 28), (0, 23), (2, 9), (29, 9), (3, 21), (36, 20), (34, 16), (9, 28), (11, 10), (15, 3), (25, 8), (17, 25), (24, 22), (20, 26), (11, 9), (37, 22), (36, 9), (5, 18), (9, 12), (21, 18), (23, 16), (20, 0), (23, 24), (7, 33), (29, 22), (35, 28), (30, 13), (11, 25), (15, 29), (29, 20), (3, 24), (0, 28), (24, 28), (1, 23), (5, 29), (31, 28), (24, 23), (17, 3), (14, 4), (9, 11), (0, 24), (34, 15), (24, 27), (0, 26), (4, 15), (1, 22), (4, 27), (26, 10), (28, 19), (18, 30), (14, 7), (9, 31), (36, 32), (19, 4), (31, 16), (10, 25), (26, 22), (19, 17), (5, 33), (13, 14), (15, 6), (8, 18), (31, 25), (29, 29), (16, 27), (37, 17), (6, 10), (4, 8), (1, 3), (11, 11), (7, 27), (36, 15), (27, 18), (9, 2), (17, 29), (3, 10), (10, 11), (10, 29), (10, 6), (5, 0), (3, 29), (4, 21), (32, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 7), (18, 32), (1, 18), (15, 30), (12, 31), (4, 22), (33, 13), (13, 4), (26, 5), (1, 9), (30, 5), (25, 18), (33, 11), (3, 16), (35, 23), (15, 21), (4, 34), (30, 32), (10, 23), (21, 31), (35, 11), (14, 7), (8, 13), (24, 14), (34, 15), (21, 4), (24, 2), (22, 17), (13, 23), (36, 18), (33, 34), (10, 31), (22, 27), (32, 14), (12, 9), (8, 6), (27, 17), (6, 6), (37, 31), (32, 24), (17, 1), (33, 7), (8, 22), (37, 18), (21, 15), (22, 29), (31, 4), (30, 28), (34, 10), (18, 8), (17, 19), (6, 24), (13, 33), (23, 9), (1, 11), (30, 22), (12, 7), (9, 4), (22, 30), (36, 7), (21, 8), (10, 13), (31, 22), (17, 23), (26, 0), (25, 31), (33, 26), (29, 4), (4, 25), (33, 33), (26, 14), (3, 8), (12, 27), (20, 29), (33, 18), (0, 24), (29, 8), (29, 30), (15, 13), (12, 32), (27, 14), (15, 31), (32, 27), (22, 20), (30, 9), (34, 20), (6, 0), (34, 23), (29, 19), (34, 34), (7, 33), (37, 8), (1, 15), (2, 9), (6, 33), (31, 12), (19, 17), (15, 10), (5, 7), (35, 4), (16, 2), (16, 20), (8, 16), (32, 31), (6, 20), (33, 1), (26, 28), (27, 18), (17, 0), (27, 26), (18, 28), (24, 1), (13, 21), (5, 33), (0, 30), (1, 7), (16, 17), (13, 27), (36, 28), (23, 29), (10, 11), (13, 19), (36, 17), (19, 25), (29, 18), (4, 24), (10, 22), (7, 34), (14, 32), (29, 0), (37, 6), (32, 17), (4, 27), (1, 13), (11, 15), (11, 10), (32, 22), (11, 34), (26, 13), (4, 13), (16, 12), (1, 29), (24, 17), (24, 4), (28, 14), (12, 12), (12, 14), (12, 30), (27, 21), (8, 20), (16, 3), (28, 1), (24, 8), (31, 33), (24, 19), (11, 29), (29, 12), (28, 11), (16, 21), (26, 34), (5, 25), (33, 19), (2, 26), (30, 21), (6, 9), (4, 1), (27, 16), (36, 19), (6, 23), (36, 14), (15, 24), (21, 24), (25, 12), (33, 4), (2, 12), (27, 23), (8, 26), (27, 24), (36, 5), (22, 0), (21, 7), (29, 2), (33, 23), (22, 32), (35, 28), (33, 32), (2, 29), (20, 3), (2, 17), (13, 13), (2, 18), (17, 28), (35, 12), (14, 5), (33, 27), (9, 26), (34, 22), (8, 4), (19, 19), (17, 29), (24, 32), (15, 3), (5, 0), (22, 7), (19, 33), (26, 29), (25, 7), (36, 32), (16, 27), (22, 13), (1, 5), (10, 24), (14, 20), (18, 31), (31, 25), (7, 3), (37, 29), (19, 30), (24, 10), (36, 1), (0, 17), (2, 15), (25, 20), (1, 8), (29, 17), (34, 4), (19, 22), (26, 2), (1, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 38x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 18), (22, 24), (28, 6), (34, 13), (10, 12), (36, 10), (31, 18), (34, 0), (17, 15), (1, 20), (11, 30), (4, 12), (4, 10), (0, 4), (19, 34), (30, 3), (21, 2), (18, 35), (35, 31), (17, 10), (25, 30), (29, 19), (14, 30), (7, 33), (34, 9), (11, 12), (22, 22), (22, 15), (29, 32), (5, 8), (2, 30), (6, 29), (36, 17), (29, 17), (37, 0), (12, 12), (6, 5), (23, 31), (9, 33), (13, 31), (24, 20), (10, 32), (28, 23), (5, 23), (31, 22), (25, 13), (28, 16), (1, 33), (31, 7), (5, 19), (8, 33), (23, 21), (6, 7), (27, 10), (35, 30), (29, 2), (16, 20), (15, 3), (25, 31), (32, 20), (18, 14), (7, 32), (3, 1), (28, 33), (37, 35), (2, 19), (22, 13), (17, 30), (30, 20), (27, 11), (10, 1), (34, 30), (20, 26), (0, 35), (22, 3), (13, 12), (14, 1), (18, 27), (16, 12), (11, 14), (6, 31), (2, 32), (24, 27), (31, 32), (18, 7), (12, 28), (17, 21), (14, 26), (11, 15), (26, 20), (3, 24), (2, 14), (31, 14), (12, 2), (36, 31), (20, 13), (3, 15), (32, 3), (19, 25), (21, 5), (33, 15), (28, 22), (16, 0), (10, 14), (37, 23), (17, 3), (29, 20), (24, 0), (14, 32), (17, 0), (1, 15), (19, 11), (15, 22), (19, 30), (4, 35), (30, 5), (24, 3), (5, 14), (6, 22), (31, 24), (16, 10), (24, 8), (34, 35), (19, 15), (23, 14), (2, 35), (1, 30), (17, 19), (24, 30), (27, 6), (10, 35), (25, 15), (7, 8), (34, 18), (1, 16), (14, 29), (3, 5), (0, 3), (27, 9), (14, 12), (32, 22), (28, 27), (5, 29), (36, 14), (16, 33), (19, 23), (11, 17), (30, 22), (26, 7), (17, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 22), (15, 25), (11, 23), (26, 6), (35, 22), (8, 4), (21, 18), (9, 4), (31, 12), (28, 25), (35, 19), (10, 20), (12, 2), (1, 15), (26, 19), (3, 9), (13, 29), (17, 4), (23, 9), (0, 28), (16, 25), (6, 26), (31, 1), (33, 29), (24, 15), (20, 20), (19, 16), (10, 6), (10, 25), (15, 29), (21, 30), (21, 4), (35, 7), (26, 3), (33, 6), (7, 7), (19, 6), (22, 26), (7, 21), (24, 25), (1, 9), (8, 5), (17, 15), (26, 12), (31, 20), (31, 26), (25, 11), (26, 9), (19, 10), (28, 24), (16, 27), (0, 8), (28, 23), (13, 30), (24, 3), (11, 19), (25, 1), (16, 17), (31, 23), (27, 13), (9, 11), (18, 12), (19, 8), (1, 26), (20, 5), (28, 12), (0, 3), (30, 30), (3, 10), (11, 29), (15, 0), (19, 13), (25, 23), (29, 11), (3, 16), (17, 1), (2, 5), (31, 22), (21, 1), (25, 4), (23, 0), (24, 19), (25, 13), (32, 6), (15, 8), (27, 26), (30, 3), (5, 16), (35, 25), (35, 28), (35, 21), (33, 28), (15, 4), (8, 19), (8, 27), (26, 14), (10, 26), (10, 14), (16, 14), (14, 21), (26, 17), (1, 21), (29, 16), (11, 26), (20, 2), (6, 21), (21, 9), (3, 2), (22, 4), (27, 11), (24, 20), (27, 22), (20, 3), (29, 27), (13, 0), (28, 18), (7, 29), (22, 30), (22, 23), (28, 22), (10, 19), (21, 8), (28, 3), (17, 12), (29, 21), (6, 7), (1, 6), (35, 2), (30, 6), (25, 28), (12, 12), (4, 6), (26, 23), (7, 13), (12, 7), (3, 18), (15, 14), (14, 2), (14, 26), (13, 25), (26, 11), (15, 12), (6, 5), (20, 14), (5, 4), (20, 17), (33, 20), (9, 14), (28, 7), (35, 3), (8, 23), (32, 22), (8, 18), (13, 27), (22, 2), (7, 8), (32, 13), (13, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 35), (9, 5), (12, 23), (8, 18), (1, 29), (6, 30), (8, 16), (30, 7), (14, 33), (32, 20), (11, 28), (22, 29), (27, 13), (4, 18), (9, 2), (31, 1), (25, 19), (32, 27), (30, 6), (21, 32), (2, 4), (7, 29), (31, 20), (0, 27), (15, 16), (2, 9), (9, 34), (25, 32), (21, 16), (8, 19), (6, 15), (29, 15), (7, 13), (13, 3), (3, 1), (24, 28), (17, 21), (33, 23), (21, 12), (34, 0), (24, 26), (32, 24), (19, 9), (24, 0), (30, 31), (34, 7), (22, 0), (28, 30), (25, 27), (4, 34), (17, 7), (4, 33), (5, 34), (3, 6), (18, 22), (30, 17), (5, 4), (11, 16), (20, 25), (24, 33), (11, 6), (2, 24), (14, 8), (15, 20), (3, 8), (32, 26), (22, 7), (1, 36), (19, 3), (28, 4), (15, 0), (2, 26), (13, 18), (31, 30), (23, 32), (30, 27), (31, 14), (17, 32), (4, 7), (13, 13), (17, 6), (34, 33), (14, 17), (27, 31), (12, 11), (11, 3), (32, 33), (16, 9), (4, 25), (29, 29), (27, 19), (22, 34), (12, 29), (9, 12), (4, 13), (27, 23), (14, 26), (23, 19), (1, 7), (11, 18), (8, 21), (30, 21), (28, 20), (32, 19), (18, 16), (10, 35), (11, 24), (5, 35), (20, 7), (17, 34), (3, 7), (32, 14), (15, 7), (23, 24), (14, 32), (6, 23), (6, 34), (26, 14), (20, 20), (29, 3), (21, 34), (34, 29), (9, 10), (5, 10), (29, 14), (7, 18), (30, 28), (17, 30), (26, 27), (31, 22), (13, 22), (1, 33), (17, 31), (7, 30), (15, 10), (7, 23), (9, 7), (6, 19), (16, 13), (31, 34), (15, 3), (0, 32), (19, 4), (18, 18), (12, 32), (1, 11), (28, 34), (33, 26), (19, 21), (11, 1), (32, 3), (13, 20), (5, 15), (13, 1), (12, 33), (27, 16), (16, 3), (32, 1), (1, 22), (28, 6), (10, 2), (4, 17), (17, 2), (28, 31), (30, 9), (0, 21), (30, 25), (11, 22), (18, 0), (24, 24), (20, 27), (22, 9), (13, 8), (3, 12), (19, 14), (12, 9), (20, 32), (15, 28), (28, 1), (13, 9), (21, 7), (31, 31), (5, 8), (4, 24), (29, 4), (31, 28), (19, 25), (13, 35), (1, 32), (9, 31), (21, 3), (17, 25), (7, 14), (27, 15), (25, 5), (7, 5), (28, 15), (2, 13), (4, 0), (33, 0), (22, 17), (14, 36), (20, 0), (31, 21), (11, 7), (26, 0), (24, 15), (10, 9), (32, 36), (30, 36), (14, 20), (9, 1), (23, 17), (15, 6), (20, 12), (34, 5), (28, 27), (0, 26), (20, 16), (22, 3), (21, 27), (6, 0), (21, 20), (0, 7), (32, 25), (17, 27), (0, 33), (8, 30), (3, 17), (20, 19), (17, 9), (8, 3), (16, 15), (29, 31), (10, 33), (0, 35), (12, 4), (18, 30), (8, 32), (9, 0), (19, 15), (17, 23), (16, 0), (17, 8), (5, 27), (9, 24), (23, 36), (26, 16), (21, 17), (20, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 37x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 1), (23, 1), (0, 27), (2, 20), (19, 9), (23, 19), (36, 14), (19, 10), (31, 11), (5, 15), (18, 20), (32, 14), (1, 30), (33, 12), (11, 9), (28, 18), (33, 27), (7, 2), (17, 17), (22, 27), (22, 28), (1, 20), (15, 22), (17, 6), (13, 15), (16, 30), (4, 20), (3, 12), (25, 28), (9, 6), (8, 20), (7, 18), (17, 15), (19, 25), (11, 22), (27, 24), (13, 17), (34, 23), (32, 25), (0, 11), (20, 26), (21, 25), (33, 22), (8, 29), (10, 16), (18, 22), (20, 25), (3, 5), (7, 5), (4, 6), (27, 11), (7, 22), (30, 3), (36, 3), (16, 20), (32, 13), (6, 13), (34, 14), (9, 29), (2, 27), (34, 8), (29, 8), (28, 19), (16, 27), (21, 19), (16, 26), (35, 2), (12, 25), (7, 26), (29, 16), (11, 1), (10, 22), (23, 28), (6, 16), (34, 2), (3, 9), (12, 21), (26, 6), (10, 28), (28, 4), (24, 1), (16, 24), (23, 15), (1, 15), (13, 20), (3, 10), (24, 30), (8, 16), (13, 27), (9, 20), (22, 30), (17, 20), (15, 1), (18, 18), (24, 10), (11, 10), (26, 25), (10, 13), (31, 10), (14, 18), (16, 21), (15, 24), (2, 17), (19, 5), (27, 17), (5, 16), (36, 10), (35, 17), (4, 3), (16, 16), (23, 20), (32, 27), (15, 14), (6, 1), (5, 8), (14, 6), (36, 29), (23, 7), (10, 0), (18, 21), (10, 12), (29, 19), (25, 24), (6, 2), (29, 5), (24, 5), (8, 12), (30, 5), (18, 26), (30, 23), (34, 13), (13, 16), (5, 2), (25, 12), (23, 12), (33, 28), (1, 23), (24, 11), (6, 20), (9, 14), (36, 22), (8, 0), (1, 6), (7, 7), (31, 13), (32, 16), (15, 9), (20, 11), (11, 6), (5, 14), (31, 17), (3, 28), (11, 12), (15, 16), (32, 22), (8, 24), (31, 27), (8, 8), (33, 3), (11, 23), (7, 6), (19, 0), (2, 1), (12, 16), (20, 0), (3, 24), (8, 27), (7, 10), (26, 20), (0, 24), (13, 24), (22, 15), (26, 28), (30, 10), (34, 7), (25, 13), (5, 11), (34, 25), (1, 27), (24, 28), (23, 4), (20, 8), (22, 21), (0, 5), (7, 9), (31, 29), (27, 6), (28, 2), (14, 21), (17, 3), (30, 9), (29, 1), (22, 24), (14, 12), (2, 19), (33, 20), (10, 23), (32, 2), (21, 16), (6, 14), (22, 23), (15, 11), (27, 9), (0, 15), (14, 7), (15, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 3), (17, 20), (22, 28), (22, 2), (9, 12), (26, 29), (18, 20), (29, 25), (21, 6), (2, 23), (4, 19), (0, 10), (4, 30), (6, 6), (9, 23), (14, 10), (28, 26), (4, 32), (25, 28), (2, 15), (24, 14), (15, 31), (18, 1), (18, 15), (24, 30), (28, 18), (22, 7), (13, 1), (17, 14), (10, 20), (3, 12), (11, 7), (1, 17), (26, 8), (5, 14), (10, 8), (18, 23), (14, 21), (13, 3), (14, 5), (21, 16), (26, 31), (26, 21), (9, 7), (1, 24), (18, 21), (25, 14), (25, 2), (21, 21), (11, 22), (22, 4), (5, 29), (28, 27), (18, 22), (12, 8), (15, 33), (8, 30), (14, 29), (29, 11), (27, 33), (25, 31), (2, 6), (9, 11), (18, 9), (24, 3), (5, 12), (22, 20), (21, 32), (11, 9), (6, 11), (16, 3), (14, 11), (11, 17), (1, 20), (16, 5), (11, 3), (5, 33), (9, 8), (7, 14), (9, 33), (8, 14), (1, 27), (29, 28), (10, 29), (10, 17), (27, 4), (4, 12), (14, 16), (3, 33), (5, 24), (23, 32), (29, 29), (12, 29), (4, 9), (17, 7), (17, 23), (10, 30), (29, 23), (13, 16), (4, 26), (29, 12), (3, 28), (29, 19), (14, 3), (16, 29), (29, 20), (8, 27), (17, 10), (23, 9), (24, 17), (24, 24), (10, 25), (26, 20), (8, 26), (20, 20), (21, 3), (24, 22), (17, 24), (20, 3), (0, 12), (18, 31), (12, 26), (7, 2), (8, 19), (13, 21), (29, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 9), (12, 18), (21, 14), (32, 27), (6, 2), (17, 10), (19, 26), (24, 4), (11, 21), (17, 15), (17, 6), (8, 16), (26, 16), (1, 8), (9, 20), (15, 16), (27, 17), (24, 7), (7, 23), (10, 16), (7, 7), (14, 10), (13, 10), (25, 29), (17, 19), (32, 15), (23, 16), (25, 0), (23, 28), (20, 28), (21, 11), (6, 6), (3, 7), (2, 9), (3, 13), (14, 13), (27, 21), (19, 6), (32, 20), (7, 8), (3, 20), (33, 0), (9, 27), (10, 25), (16, 29), (11, 27), (0, 29), (23, 24), (20, 19), (23, 31), (10, 18), (26, 0), (35, 1), (35, 17), (25, 31), (28, 23), (5, 17), (33, 18), (33, 5), (5, 31), (29, 5), (3, 2), (24, 25), (25, 17), (14, 19), (16, 8), (32, 8), (31, 22), (11, 20), (18, 25), (0, 7), (14, 1), (33, 30), (24, 6), (14, 30), (30, 7), (18, 11), (2, 30), (8, 15), (22, 18), (32, 30), (31, 16), (6, 21), (23, 25), (17, 7), (25, 4), (30, 30), (0, 11), (13, 4), (8, 12), (24, 23), (30, 31), (18, 14), (5, 18), (7, 25), (21, 15), (3, 25), (34, 14), (30, 21), (30, 2), (26, 27), (26, 12), (26, 4), (10, 24), (12, 4), (8, 27), (12, 21), (7, 28), (8, 22), (27, 23), (25, 12), (8, 2), (22, 9), (15, 18), (9, 23), (12, 14), (0, 28), (9, 1), (21, 21), (8, 30), (27, 13), (22, 16), (34, 13), (10, 30), (33, 13), (10, 7), (22, 20), (29, 1), (33, 16), (31, 30), (22, 24), (2, 21), (12, 20), (16, 22), (7, 26), (13, 25), (29, 12), (9, 31), (20, 14), (4, 10), (30, 25), (8, 21), (18, 30), (32, 5), (16, 5), (10, 27), (2, 12), (13, 15), (34, 9), (33, 26), (21, 12), (10, 2), (1, 28), (4, 25), (14, 18), (20, 24), (31, 7), (29, 31), (6, 19), (24, 17), (22, 27), (3, 30), (12, 2), (17, 9), (24, 10), (23, 23), (1, 22), (27, 9), (21, 28), (31, 31), (24, 12), (26, 10), (0, 16), (21, 26), (10, 23), (21, 27), (5, 28), (5, 26), (0, 1), (17, 2), (5, 29), (20, 30), (9, 17), (31, 10), (0, 14), (21, 9), (35, 20), (3, 12), (10, 5), (5, 15), (19, 9), (17, 17), (30, 1), (30, 24), (19, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 1), (35, 17), (16, 18), (37, 31), (15, 18), (14, 21), (4, 20), (4, 0), (11, 32), (23, 27), (20, 13), (12, 32), (21, 11), (26, 16), (34, 20), (18, 34), (11, 13), (7, 2), (13, 31), (17, 14), (8, 17), (15, 35), (12, 14), (1, 4), (23, 34), (9, 4), (22, 3), (2, 32), (12, 19), (17, 10), (11, 29), (1, 8), (30, 28), (37, 28), (25, 17), (4, 11), (26, 34), (36, 12), (7, 7), (33, 1), (3, 21), (32, 8), (9, 29), (26, 8), (27, 3), (23, 10), (6, 33), (25, 1), (22, 35), (32, 30), (9, 34), (20, 7), (3, 36), (18, 19), (34, 33), (19, 4), (29, 20), (9, 20), (35, 10), (0, 4), (9, 16), (36, 31), (12, 7), (24, 16), (9, 0), (35, 4), (20, 31), (28, 35), (36, 6), (31, 9), (12, 33), (8, 11), (12, 6), (25, 28), (16, 28), (10, 18), (1, 36), (4, 23), (22, 8), (18, 21), (17, 19), (6, 21), (24, 22), (26, 21), (30, 18), (15, 24), (16, 33), (29, 10), (37, 20), (12, 23), (11, 28), (1, 24), (27, 6), (15, 2), (15, 20), (6, 24), (19, 26), (7, 9), (2, 27), (29, 18), (24, 18), (5, 21), (5, 14), (0, 26), (3, 24), (36, 30), (5, 28), (17, 11), (31, 7), (30, 5), (35, 23), (19, 2), (27, 18), (23, 5), (32, 15), (12, 2), (18, 2), (6, 2), (21, 21), (18, 26), (15, 28), (17, 33), (35, 29), (34, 28), (0, 34), (27, 28), (32, 2), (26, 35), (29, 21), (36, 3), (21, 10), (8, 21), (25, 6), (31, 17), (11, 23), (8, 18), (5, 37), (10, 14), (29, 3), (28, 16), (8, 16), (10, 32), (33, 16), (4, 4), (18, 29), (2, 31), (15, 5), (38, 0), (16, 27), (34, 10), (33, 7), (29, 29), (1, 3), (10, 29), (1, 6), (29, 8), (24, 17), (0, 21), (15, 9), (19, 29), (24, 21), (22, 2), (13, 7), (34, 15), (35, 14), (10, 2), (21, 24), (0, 19), (27, 33), (16, 9), (33, 25), (22, 23), (1, 34), (14, 23), (10, 35), (32, 26), (32, 12), (28, 28), (18, 31), (17, 34), (1, 35), (25, 11), (27, 37), (1, 14), (37, 12), (10, 22), (38, 28), (29, 7), (17, 21), (23, 0), (38, 25), (18, 15), (21, 26), (7, 37), (27, 13), (29, 25), (34, 11), (36, 13), (36, 15), (33, 9), (6, 26), (11, 3), (17, 31), (20, 34), (8, 26), (25, 14), (35, 31), (18, 37), (14, 2), (16, 15), (31, 3), (19, 34), (12, 20), (2, 13), (28, 34), (12, 36), (28, 22), (37, 30), (22, 17), (5, 11), (16, 26), (24, 26), (31, 4), (30, 16), (32, 35), (13, 9), (28, 18), (6, 28), (4, 28), (28, 7), (36, 2), (10, 31), (33, 0), (16, 31), (2, 7), (5, 8), (38, 12), (24, 33), (14, 6), (10, 12), (22, 32), (3, 7), (7, 28), (13, 23), (31, 5), (1, 10), (9, 35), (20, 23), (19, 8), (16, 6), (37, 33), (25, 20), (24, 5), (29, 1), (26, 28), (13, 25), (15, 34), (4, 3), (21, 6), (16, 21), (9, 26), (27, 20), (17, 20), (19, 25), (13, 8), (3, 16), (24, 25), (28, 13), (8, 31), (11, 24), (10, 23), (5, 30), (12, 21), (23, 12), (2, 28), (9, 18), (32, 16), (8, 28), (15, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (38, 29), (5, 1), (22, 28), (6, 30), (11, 20), (30, 27), (20, 11), (10, 11), (32, 24), (35, 10), (28, 29), (18, 31), (28, 27), (34, 23), (23, 19), (25, 23), (15, 14), (36, 29), (23, 10), (37, 29), (31, 33), (1, 21), (16, 32), (21, 26), (31, 16), (35, 6), (7, 20), (38, 27), (29, 17), (3, 5), (30, 22), (17, 1), (30, 18), (37, 18), (18, 13), (14, 21), (2, 13), (15, 26), (32, 29), (4, 21), (25, 1), (0, 11), (13, 20), (1, 17), (29, 21), (23, 28), (26, 23), (6, 22), (6, 0), (4, 27), (21, 30), (5, 6), (8, 15), (35, 5), (16, 21), (1, 2), (1, 16), (2, 3), (1, 32), (11, 14), (7, 19), (34, 18), (24, 1), (8, 13), (27, 4), (3, 25), (25, 10), (0, 33), (3, 32), (18, 5), (5, 7), (19, 29), (35, 4), (18, 11), (15, 1), (30, 2), (2, 32), (27, 15), (31, 20), (16, 1), (5, 30), (36, 31), (3, 14), (3, 1), (4, 19), (26, 32), (8, 14), (27, 21), (29, 2), (0, 13), (35, 7), (17, 5), (26, 21), (9, 8), (26, 6), (12, 14), (29, 33), (19, 33), (10, 16), (37, 2), (20, 32), (37, 12), (11, 31), (5, 13), (38, 8), (1, 4), (12, 3), (6, 26), (24, 10), (2, 0), (21, 28), (21, 17), (31, 3), (33, 23), (28, 15), (21, 2), (13, 0), (28, 20), (19, 11), (25, 21), (7, 14), (0, 26), (31, 2), (1, 25), (11, 11), (6, 5), (5, 33), (38, 9), (20, 19), (1, 22), (3, 9), (32, 3), (37, 33), (28, 1), (21, 33), (22, 14), (1, 11), (23, 22), (18, 22), (9, 22), (8, 17), (30, 33), (5, 17), (38, 3), (30, 23), (10, 10), (30, 29), (32, 21), (10, 17), (34, 8), (24, 33), (2, 5), (22, 32), (14, 26), (11, 7), (5, 29), (12, 24), (33, 1), (27, 1), (12, 19), (20, 23), (29, 24), (15, 11), (6, 28), (1, 24), (11, 33), (20, 29), (31, 15), (5, 4), (24, 28), (34, 27), (15, 12), (17, 6), (36, 6), (30, 12), (24, 24), (35, 1), (5, 10), (0, 21), (21, 1), (6, 25), (11, 23), (36, 26), (8, 26), (22, 1), (5, 22), (3, 12), (20, 12), (7, 33), (21, 6), (34, 6), (19, 26), (3, 30), (18, 32), (15, 10), (35, 31), (34, 19), (35, 33), (35, 29), (31, 6), (30, 6), (36, 7), (24, 27), (12, 16), (27, 3), (16, 0), (33, 31), (3, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 33x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 6), (17, 23), (1, 26), (20, 29), (29, 23), (10, 15), (0, 22), (23, 8), (25, 14), (25, 22), (19, 18), (0, 5), (24, 11), (14, 5), (10, 0), (19, 3), (17, 7), (19, 27), (20, 13), (31, 2), (11, 1), (30, 32), (7, 8), (13, 25), (20, 8), (23, 30), (24, 15), (23, 35), (9, 32), (17, 9), (1, 31), (19, 17), (11, 8), (1, 7), (32, 28), (0, 9), (14, 18), (15, 35), (7, 4), (27, 8), (17, 18), (6, 15), (24, 34), (5, 2), (15, 33), (6, 7), (6, 4), (22, 22), (7, 6), (21, 16), (28, 35), (22, 34), (24, 25), (21, 1), (27, 24), (24, 19), (22, 7), (17, 2), (31, 17), (21, 19), (13, 20), (23, 10), (13, 22), (25, 12), (26, 9), (12, 28), (23, 24), (8, 19), (22, 1), (29, 22), (7, 19), (4, 29), (0, 27), (32, 16), (30, 16), (13, 1), (11, 2), (18, 23), (19, 34), (24, 32), (14, 1), (22, 26), (17, 19), (25, 33), (6, 6), (25, 27), (18, 6), (13, 8), (4, 22), (1, 9), (8, 34), (17, 4), (4, 35), (29, 9), (6, 3), (13, 19), (24, 6), (20, 22), (3, 19), (26, 25), (19, 1), (26, 26), (15, 14), (4, 28), (32, 12), (18, 17), (11, 14), (6, 34), (15, 19), (21, 7), (29, 13), (29, 29), (18, 35), (25, 19), (21, 11), (29, 3), (14, 27), (16, 18), (15, 16), (29, 31), (16, 5), (28, 21), (22, 29), (6, 27), (30, 35), (8, 8), (10, 10), (21, 10), (29, 12), (9, 34), (7, 21), (28, 15), (14, 4), (18, 15), (14, 16), (18, 13), (23, 7), (1, 18), (23, 21), (16, 8), (27, 12), (11, 11), (13, 30), (9, 12), (6, 29), (23, 14), (30, 15), (3, 32), (17, 31), (24, 17), (29, 1), (20, 25), (14, 11), (28, 6), (20, 7), (22, 23), (12, 9), (14, 32), (20, 15), (22, 28), (27, 7), (3, 27), (23, 5), (18, 24), (32, 24), (22, 19), (5, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 34x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 20), (24, 0), (6, 10), (17, 29), (13, 9), (3, 33), (22, 9), (14, 24), (6, 2), (17, 24), (3, 11), (30, 27), (7, 35), (2, 1), (25, 3), (5, 1), (15, 24), (3, 36), (10, 35), (27, 7), (24, 28), (13, 17), (17, 5), (21, 8), (28, 29), (19, 2), (9, 1), (19, 8), (23, 5), (18, 30), (16, 17), (31, 34), (31, 3), (31, 29), (33, 2), (4, 0), (18, 26), (12, 9), (28, 0), (32, 22), (33, 22), (6, 1), (20, 28), (10, 5), (25, 24), (27, 12), (14, 21), (11, 35), (29, 23), (30, 2), (30, 20), (11, 32), (17, 8), (0, 35), (1, 14), (7, 6), (26, 4), (3, 19), (3, 3), (17, 27), (1, 29), (5, 10), (13, 28), (28, 24), (6, 27), (10, 32), (18, 10), (5, 23), (14, 28), (1, 35), (25, 34), (24, 20), (31, 17), (19, 5), (16, 22), (3, 1), (16, 14), (29, 11), (11, 23), (22, 33), (33, 23), (6, 4), (24, 7), (23, 7), (15, 15), (33, 3), (29, 1), (28, 19), (5, 28), (10, 2), (31, 2), (7, 4), (14, 34), (13, 23), (12, 15), (14, 26), (19, 20), (1, 18), (23, 4), (19, 13), (26, 7), (29, 22), (24, 33), (23, 1), (3, 9), (25, 5), (14, 13), (29, 10), (27, 6), (12, 24), (13, 21), (4, 26), (3, 21), (3, 20), (2, 4), (29, 26), (21, 30), (30, 29), (2, 12), (12, 8), (15, 25), (28, 4), (4, 32), (25, 11), (32, 24), (18, 12), (24, 15), (8, 6), (24, 29), (0, 12), (30, 5), (19, 22), (8, 3), (11, 1), (4, 4), (28, 33), (17, 17), (10, 8), (33, 4), (31, 31), (29, 18), (33, 21), (31, 13), (18, 4), (16, 34), (7, 8), (28, 36), (11, 4), (32, 4), (18, 16), (4, 1), (33, 34), (10, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 23), (20, 14), (27, 11), (28, 2), (15, 8), (3, 0), (3, 16), (23, 21), (31, 16), (19, 2), (12, 24), (27, 9), (8, 13), (10, 6), (25, 1), (6, 13), (22, 28), (5, 2), (17, 5), (26, 32), (19, 19), (11, 10), (15, 29), (11, 27), (10, 21), (0, 6), (14, 28), (27, 26), (19, 14), (29, 21), (3, 22), (20, 18), (7, 10), (4, 3), (12, 23), (6, 24), (22, 0), (21, 33), (2, 12), (28, 29), (15, 33), (7, 3), (19, 32), (19, 6), (0, 5), (5, 30), (23, 34), (17, 13), (25, 16), (22, 6), (10, 29), (2, 24), (25, 7), (18, 30), (21, 32), (23, 2), (4, 7), (14, 13), (24, 15), (26, 9), (25, 18), (23, 4), (25, 27), (28, 27), (5, 7), (20, 19), (15, 6), (8, 34), (22, 5), (15, 13), (21, 11), (8, 3), (18, 11), (8, 32), (31, 33), (4, 10), (28, 20), (30, 17), (24, 25), (26, 2), (9, 17), (5, 25), (31, 28), (5, 8), (21, 6), (29, 28), (28, 9), (10, 3), (2, 20), (24, 6), (11, 24), (8, 12), (5, 24), (20, 3), (17, 20), (18, 13), (17, 16), (7, 18), (7, 11), (15, 10), (24, 8), (30, 19), (30, 33), (29, 17), (9, 1), (8, 24), (14, 25), (11, 33), (28, 0), (19, 10), (26, 23), (4, 9), (21, 1), (31, 20), (12, 20), (15, 27), (9, 34), (7, 2), (25, 6), (23, 32), (28, 6), (13, 17), (27, 7), (16, 20), (15, 28), (14, 5), (20, 7), (21, 16), (5, 32), (6, 6), (30, 9), (0, 27), (19, 0), (0, 16), (1, 16), (28, 22), (8, 23), (9, 5), (2, 13), (2, 30), (14, 0), (13, 19), (27, 6), (30, 11), (8, 17), (2, 16), (5, 6), (4, 4), (10, 12), (14, 19), (23, 7), (17, 17), (10, 15), (9, 16), (2, 17), (19, 28), (0, 19), (7, 17), (9, 18), (26, 29), (27, 19), (2, 9), (5, 17), (26, 28), (20, 25), (1, 31), (13, 30), (29, 27), (12, 22), (30, 28), (24, 12), (31, 23), (25, 10), (27, 31), (29, 9), (26, 17), (19, 11), (3, 32), (10, 28), (14, 12), (0, 23), (0, 14), (6, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 4), (19, 26), (26, 23), (9, 10), (11, 13), (16, 19), (1, 2), (5, 2), (2, 5), (0, 33), (21, 32), (12, 33), (10, 31), (20, 35), (14, 27), (13, 17), (22, 13), (21, 8), (5, 26), (16, 9), (23, 16), (4, 18), (23, 10), (25, 15), (27, 11), (7, 7), (16, 17), (0, 9), (19, 6), (23, 23), (17, 22), (15, 18), (10, 10), (12, 26), (25, 24), (1, 16), (29, 19), (3, 12), (30, 1), (10, 1), (10, 11), (4, 6), (5, 1), (26, 8), (13, 29), (17, 3), (21, 29), (8, 10), (23, 2), (18, 5), (16, 13), (3, 5), (2, 25), (5, 19), (18, 22), (22, 17), (25, 22), (1, 17), (16, 11), (23, 27), (22, 26), (8, 5), (27, 0), (14, 9), (19, 9), (23, 31), (7, 30), (12, 20), (11, 19), (15, 33), (24, 27), (27, 12), (17, 30), (3, 10), (2, 10), (31, 28), (11, 5), (12, 11), (21, 27), (14, 23), (14, 17), (7, 22), (20, 1), (11, 1), (22, 8), (22, 24), (20, 5), (8, 25), (16, 7), (12, 6), (19, 28), (23, 0), (4, 9), (15, 5), (17, 25), (17, 35), (12, 23), (0, 17), (8, 4), (19, 31), (19, 11), (12, 7), (1, 32), (18, 9), (20, 25), (1, 34), (1, 28), (29, 3), (29, 5), (14, 3), (10, 13), (4, 32), (23, 7), (12, 14), (4, 23), (26, 12), (2, 17), (6, 8), (2, 32), (0, 3), (16, 8), (4, 10), (8, 23), (16, 27), (11, 18), (29, 33), (20, 7), (3, 2), (25, 18), (19, 13), (20, 28), (17, 17), (15, 16), (28, 31), (4, 28), (1, 19), (11, 12), (4, 31), (30, 16), (21, 34), (4, 16), (17, 20), (24, 28), (18, 17), (4, 21), (24, 6), (20, 30), (30, 19), (11, 30), (21, 16), (32, 21), (6, 10), (15, 12), (17, 31), (31, 15), (6, 20), (7, 8), (19, 14), (6, 15), (11, 2), (21, 12), (6, 2), (5, 20), (26, 24), (24, 5), (7, 5), (28, 2), (25, 3), (15, 13), (22, 2), (12, 29), (13, 0), (7, 0), (9, 0), (16, 28), (11, 34), (30, 21), (4, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 33x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 21), (11, 1), (11, 9), (3, 24), (6, 14), (20, 23), (3, 7), (31, 11), (21, 29), (23, 23), (22, 9), (1, 28), (24, 29), (22, 19), (2, 30), (25, 24), (0, 12), (7, 15), (12, 31), (7, 12), (19, 10), (6, 29), (16, 13), (22, 17), (22, 4), (10, 2), (30, 19), (19, 33), (4, 23), (28, 18), (1, 11), (31, 7), (2, 27), (23, 34), (25, 19), (8, 1), (6, 27), (5, 10), (18, 33), (10, 26), (28, 25), (31, 19), (24, 5), (3, 5), (14, 12), (25, 20), (5, 22), (19, 22), (1, 8), (26, 13), (22, 5), (23, 19), (3, 16), (12, 16), (12, 21), (23, 30), (1, 6), (8, 2), (6, 0), (18, 0), (28, 2), (21, 25), (1, 5), (3, 10), (15, 29), (9, 19), (4, 14), (30, 0), (24, 7), (26, 16), (29, 2), (11, 0), (13, 2), (16, 34), (16, 31), (20, 6), (5, 21), (5, 23), (17, 14), (21, 23), (22, 33), (7, 33), (29, 25), (16, 3), (5, 8), (31, 1), (21, 4), (9, 6), (31, 24), (18, 25), (25, 15), (17, 34), (32, 32), (29, 16), (14, 9), (4, 10), (2, 10), (12, 20), (31, 8), (14, 7), (6, 19), (25, 9), (12, 10), (1, 33), (30, 17), (18, 9), (24, 12), (5, 19), (16, 12), (28, 32), (30, 24), (25, 23), (10, 33), (32, 11), (20, 10), (9, 16), (17, 15), (7, 9), (10, 34), (16, 7), (3, 26), (23, 12), (23, 28), (26, 5), (14, 14), (2, 14), (6, 13), (24, 15), (1, 22), (8, 28), (29, 33), (7, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 12), (10, 3), (3, 22), (26, 10), (34, 17), (25, 3), (29, 9), (4, 12), (30, 30), (16, 22), (34, 23), (19, 29), (20, 25), (0, 13), (31, 4), (27, 27), (15, 2), (13, 23), (14, 22), (31, 8), (24, 12), (9, 27), (36, 13), (1, 2), (14, 31), (12, 5), (32, 13), (29, 31), (4, 31), (22, 23), (12, 3), (0, 12), (7, 9), (6, 19), (35, 29), (10, 0), (2, 2), (15, 0), (10, 31), (3, 8), (6, 22), (29, 28), (11, 28), (13, 8), (30, 14), (1, 28), (24, 3), (13, 21), (26, 21), (11, 18), (5, 24), (9, 18), (10, 11), (31, 18), (13, 14), (13, 5), (27, 7), (34, 25), (4, 26), (35, 10), (3, 27), (11, 30), (28, 12), (31, 14), (25, 25), (13, 3), (2, 10), (9, 11), (31, 15), (16, 17), (25, 18), (31, 29), (9, 3), (8, 2), (36, 17), (28, 6), (20, 19), (13, 17), (17, 23), (5, 3), (7, 23), (30, 5), (12, 4), (22, 11), (5, 5), (36, 19), (1, 16), (22, 13), (35, 13), (35, 19), (32, 31), (4, 24), (5, 2), (35, 11), (1, 31), (29, 10), (26, 20), (4, 28), (12, 29), (22, 3), (10, 19), (21, 2), (19, 23), (11, 12), (0, 4), (4, 7), (20, 14), (3, 9), (1, 25), (6, 2), (10, 25), (23, 16), (27, 21), (23, 22), (11, 0), (21, 18), (30, 24), (12, 21), (20, 23), (23, 12), (22, 22), (32, 12), (23, 30), (12, 27), (23, 15), (32, 24), (15, 30), (2, 4), (7, 25), (26, 31), (2, 11), (14, 0), (26, 16), (35, 2), (36, 8), (5, 30), (8, 31), (25, 0), (7, 16), (18, 15), (3, 15), (10, 4), (33, 27), (17, 31), (33, 28), (32, 22), (36, 30), (18, 1), (29, 27), (33, 11), (8, 7), (33, 1), (28, 3), (27, 17), (4, 6), (2, 30), (13, 22), (21, 1), (6, 10), (21, 27), (21, 21), (2, 22), (10, 16), (16, 24), (13, 31), (25, 29), (20, 29), (35, 14), (15, 3), (26, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 16), (19, 22), (33, 5), (30, 0), (28, 15), (27, 17), (24, 24), (11, 24), (32, 14), (0, 2), (12, 1), (3, 23), (8, 0), (14, 9), (25, 26), (9, 13), (22, 15), (9, 12), (17, 5), (2, 29), (31, 14), (33, 28), (29, 30), (0, 11), (0, 7), (2, 24), (16, 20), (0, 27), (36, 20), (12, 25), (29, 15), (28, 5), (31, 0), (19, 29), (12, 12), (28, 10), (7, 17), (28, 29), (20, 8), (24, 2), (6, 1), (1, 7), (14, 14), (20, 29), (31, 8), (11, 25), (32, 13), (20, 7), (16, 5), (8, 5), (29, 11), (28, 20), (7, 29), (26, 22), (8, 3), (37, 2), (25, 13), (19, 23), (2, 9), (7, 23), (1, 13), (12, 10), (17, 7), (29, 13), (13, 26), (15, 29), (27, 24), (14, 21), (23, 3), (4, 6), (10, 17), (34, 29), (35, 24), (25, 9), (32, 15), (9, 0), (6, 25), (21, 23), (14, 6), (2, 8), (12, 3), (20, 26), (8, 20), (20, 15), (27, 1), (31, 22), (20, 2), (18, 9), (2, 0), (27, 23), (18, 15), (24, 28), (4, 28), (10, 13), (24, 20), (15, 7), (13, 30), (3, 17), (12, 28), (21, 0), (31, 18), (1, 20), (34, 10), (25, 20), (12, 20), (15, 1), (4, 7), (27, 6), (5, 14), (37, 16), (15, 20), (13, 18), (35, 0), (18, 8), (19, 7), (9, 26), (25, 25), (16, 13), (5, 8), (15, 23), (24, 22), (28, 28), (34, 13), (37, 17), (1, 5), (18, 3), (26, 19), (2, 19), (35, 1), (10, 26), (32, 18), (23, 10), (31, 12), (22, 16), (36, 1), (25, 23), (2, 2), (3, 5), (13, 2), (9, 3), (23, 8), (17, 18), (36, 27), (37, 21), (10, 1), (20, 1), (23, 27), (12, 8), (28, 27), (8, 11), (30, 22), (9, 2), (10, 11), (34, 18), (14, 29), (27, 4), (4, 16), (3, 28), (12, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 33), (28, 28), (25, 5), (23, 31), (12, 1), (2, 22), (18, 10), (10, 6), (15, 13), (7, 1), (4, 10), (26, 22), (16, 16), (31, 5), (11, 21), (12, 26), (4, 19), (30, 24), (6, 20), (31, 14), (8, 31), (9, 14), (10, 5), (6, 32), (31, 19), (12, 27), (26, 6), (6, 27), (6, 28), (0, 15), (2, 14), (20, 22), (22, 8), (28, 11), (28, 16), (18, 12), (5, 27), (6, 16), (21, 10), (21, 18), (15, 19), (14, 18), (11, 27), (22, 15), (4, 5), (11, 25), (11, 20), (14, 0), (29, 14), (14, 12), (18, 8), (4, 22), (13, 24), (30, 22), (26, 20), (27, 12), (15, 27), (28, 1), (8, 1), (24, 22), (16, 7), (21, 5), (5, 30), (2, 23), (17, 1), (29, 16), (17, 9), (8, 17), (12, 28), (26, 2), (30, 2), (9, 7), (5, 24), (27, 11), (23, 22), (2, 19), (19, 29), (9, 23), (4, 17), (19, 1), (20, 23), (5, 19), (18, 18), (25, 1), (25, 33), (5, 28), (21, 32), (24, 9), (12, 29), (4, 16), (18, 33), (11, 30), (9, 27), (28, 27), (14, 24), (22, 27), (30, 9), (5, 20), (20, 28), (14, 20), (22, 20), (18, 11), (10, 16), (0, 30), (23, 21), (0, 18), (12, 13), (5, 33), (15, 11), (14, 28), (15, 15), (7, 13), (7, 4), (27, 8), (6, 2), (24, 12), (30, 17), (11, 19), (5, 18), (27, 26), (9, 0), (16, 11), (24, 10), (18, 16), (10, 17), (30, 18), (28, 6), (31, 8), (23, 28), (1, 4), (2, 18), (4, 2), (27, 23), (17, 18), (6, 19), (6, 23), (14, 15), (3, 6), (8, 11), (1, 5), (21, 20), (18, 21), (15, 0), (31, 24), (22, 30), (8, 27), (2, 27), (0, 5), (28, 19), (15, 1), (7, 17), (16, 20), (0, 17), (29, 9), (19, 3), (11, 26), (20, 4), (13, 25), (15, 24), (25, 26), (28, 5), (27, 18), (10, 18), (22, 31), (13, 33), (10, 19), (23, 2), (30, 25), (29, 28), (8, 14), (16, 10), (19, 30), (15, 28), (25, 20), (15, 30), (23, 3), (25, 23), (14, 22), (8, 20), (9, 26), (0, 23), (27, 19), (13, 4), (3, 18), (25, 25), (27, 5), (16, 30), (15, 7), (0, 7), (18, 4), (17, 6), (6, 24), (4, 0), (19, 8), (28, 7), (28, 10), (0, 27), (2, 8), (24, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 24), (18, 16), (13, 11), (15, 7), (2, 19), (16, 16), (22, 18), (1, 3), (2, 13), (0, 22), (14, 21), (25, 23), (29, 26), (22, 23), (3, 25), (8, 19), (26, 25), (25, 13), (5, 9), (11, 1), (0, 27), (29, 13), (29, 27), (19, 4), (25, 25), (11, 3), (13, 12), (25, 10), (11, 10), (25, 29), (0, 13), (22, 6), (9, 27), (10, 20), (7, 0), (19, 1), (20, 8), (27, 20), (25, 21), (0, 25), (15, 26), (24, 10), (5, 21), (17, 17), (25, 4), (21, 6), (26, 23), (18, 4), (19, 5), (11, 30), (6, 0), (10, 9), (4, 22), (13, 10), (14, 3), (24, 3), (2, 0), (0, 20), (1, 30), (17, 2), (12, 10), (11, 2), (0, 23), (1, 21), (26, 21), (25, 30), (17, 26), (15, 3), (23, 30), (16, 28), (17, 10), (20, 13), (9, 10), (28, 5), (27, 2), (12, 28), (15, 14), (1, 19), (5, 10), (21, 11), (20, 7), (0, 19), (25, 27), (18, 26), (23, 26), (15, 15), (24, 13), (25, 22), (25, 5), (17, 29), (2, 28), (17, 1), (1, 17), (0, 11), (28, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 32x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 31), (31, 25), (3, 25), (31, 6), (6, 2), (7, 16), (6, 27), (2, 19), (1, 25), (29, 31), (8, 16), (26, 19), (3, 30), (22, 12), (2, 6), (13, 2), (12, 29), (7, 20), (10, 10), (13, 25), (25, 17), (9, 29), (10, 1), (29, 1), (19, 22), (29, 9), (12, 6), (13, 10), (14, 22), (6, 32), (17, 26), (6, 19), (26, 9), (22, 28), (25, 12), (16, 33), (14, 23), (25, 33), (2, 22), (3, 6), (31, 30), (8, 19), (21, 32), (23, 16), (15, 11), (16, 10), (2, 10), (12, 18), (28, 14), (4, 28), (6, 18), (23, 17), (4, 14), (25, 21), (6, 31), (5, 1), (20, 18), (11, 33), (6, 30), (15, 8), (6, 11), (1, 2), (31, 0), (6, 12), (16, 29), (2, 32), (13, 15), (29, 21), (17, 31), (23, 5), (13, 6), (1, 1), (31, 32), (5, 18), (18, 15), (15, 14), (4, 25), (27, 8), (4, 2), (4, 18), (30, 14), (12, 7), (16, 8), (7, 2), (28, 0), (16, 17), (20, 19), (8, 29), (29, 6), (10, 19), (20, 23), (30, 9), (21, 24), (15, 19), (2, 11), (23, 23), (16, 11), (30, 12), (13, 31), (28, 16), (24, 19), (10, 7), (23, 14), (30, 25), (7, 23), (15, 3), (3, 0), (22, 23), (14, 15), (24, 33), (27, 5), (26, 26), (8, 20), (25, 5), (17, 2), (14, 19), (27, 33), (2, 33), (9, 32), (3, 13), (31, 5), (12, 33), (12, 23), (31, 4), (22, 15), (16, 16), (18, 26), (21, 25), (13, 33), (18, 13), (5, 16), (7, 11), (8, 24), (12, 1), (19, 2), (10, 5), (24, 13), (17, 19), (13, 17), (1, 20), (6, 25), (5, 5), (19, 17), (3, 28), (18, 30), (8, 28), (6, 3), (27, 20), (4, 7), (25, 32), (16, 32), (13, 5), (18, 8), (25, 16), (7, 14), (15, 5), (5, 22), (31, 20), (29, 5), (7, 12), (30, 31), (3, 14), (3, 19), (31, 21), (17, 33), (1, 19), (11, 16), (13, 7), (9, 22), (31, 3), (9, 15), (29, 15), (9, 4), (21, 1), (14, 3), (3, 21), (1, 22), (4, 16), (9, 1), (13, 18), (9, 27), (30, 29), (17, 16), (4, 15), (2, 14), (14, 10), (29, 12), (11, 29), (10, 32), (6, 28), (1, 18), (4, 22), (15, 7), (19, 12), (19, 0), (30, 3), (27, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 15), (12, 20), (17, 4), (6, 34), (3, 22), (14, 2), (21, 33), (13, 15), (23, 18), (19, 3), (27, 3), (27, 18), (23, 14), (2, 17), (28, 2), (25, 33), (25, 10), (10, 35), (7, 35), (15, 21), (17, 17), (16, 25), (6, 35), (17, 15), (30, 37), (2, 18), (22, 37), (23, 16), (28, 9), (2, 4), (7, 23), (13, 36), (19, 28), (2, 31), (25, 14), (15, 20), (8, 6), (13, 9), (21, 30), (10, 2), (20, 25), (9, 33), (13, 10), (19, 25), (29, 29), (27, 14), (22, 13), (24, 21), (27, 0), (5, 5), (23, 21), (20, 8), (30, 6), (0, 28), (20, 33), (2, 29), (7, 12), (11, 37), (2, 19), (26, 9), (2, 2), (5, 32), (0, 36), (20, 34), (29, 6), (28, 34), (11, 25), (0, 12), (28, 11), (2, 16), (30, 2), (9, 16), (23, 4), (23, 23), (17, 31), (8, 23), (18, 14), (6, 33), (6, 26), (16, 23), (18, 4), (13, 14), (27, 21), (11, 18), (23, 34), (3, 9), (18, 25), (27, 17), (30, 28), (14, 4), (18, 24), (21, 22), (13, 20), (9, 21), (15, 26), (4, 31), (17, 38), (8, 4), (18, 7), (11, 34), (12, 9), (18, 12), (9, 0), (27, 8), (21, 10), (1, 34), (20, 11), (9, 7), (3, 15), (26, 5), (2, 26), (6, 14), (30, 12), (1, 13), (14, 38), (12, 32), (5, 37), (2, 38), (28, 15), (23, 20), (7, 0), (21, 28), (23, 31), (24, 18), (13, 30), (20, 14), (17, 35), (6, 36), (7, 26), (15, 36), (16, 36), (11, 12), (11, 8), (25, 32), (4, 30), (22, 34), (10, 4), (23, 33), (4, 37), (25, 6), (22, 30), (15, 10), (0, 34), (4, 33), (18, 22), (11, 21), (13, 34), (10, 5), (29, 21), (0, 29), (17, 37), (24, 33), (14, 10), (1, 31), (1, 37), (17, 24), (18, 8), (19, 31), (0, 24), (19, 36), (9, 22), (25, 22), (9, 12), (24, 15), (18, 18), (13, 32), (21, 21), (5, 4), (30, 11), (9, 28), (4, 26), (24, 26), (15, 16), (15, 11), (4, 23), (14, 18), (6, 10), (23, 19), (7, 28), (12, 16), (15, 32), (24, 19), (3, 2), (2, 23), (0, 37), (12, 25), (18, 0), (10, 16), (17, 22), (15, 4), (26, 7), (28, 14), (26, 14), (0, 19), (0, 21), (25, 11), (19, 26), (12, 12), (13, 5), (16, 13), (12, 7), (25, 7), (7, 7), (8, 3), (3, 25), (7, 36), (26, 22), (19, 5), (22, 4), (8, 32), (11, 20), (19, 10), (21, 11), (13, 25), (1, 11), (26, 36), (14, 5), (30, 16), (29, 15), (24, 3), (20, 20), (5, 36), (16, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 27), (5, 3), (4, 30), (8, 2), (33, 31), (15, 32), (23, 16), (13, 15), (33, 30), (10, 17), (1, 0), (3, 31), (33, 8), (10, 20), (23, 20), (22, 25), (21, 14), (1, 7), (10, 1), (4, 26), (24, 34), (19, 29), (5, 15), (9, 31), (11, 34), (25, 20), (3, 10), (12, 20), (7, 3), (33, 33), (32, 20), (33, 21), (34, 18), (26, 13), (16, 14), (2, 6), (7, 11), (13, 10), (32, 34), (11, 33), (22, 6), (33, 32), (34, 19), (34, 20), (32, 19), (2, 17), (26, 25), (30, 31), (14, 27), (29, 7), (23, 5), (22, 21), (20, 36), (8, 34), (17, 21), (5, 7), (18, 15), (15, 31), (34, 23), (28, 14), (18, 14), (27, 27), (0, 31), (7, 26), (2, 25), (25, 2), (25, 36), (13, 21), (16, 19), (21, 19), (34, 28), (14, 34), (22, 4), (32, 21), (3, 11), (9, 5), (3, 0), (21, 11), (27, 28), (10, 31), (35, 22), (28, 15), (6, 5), (10, 21), (0, 19), (29, 36), (11, 25), (33, 25), (26, 20), (30, 27), (33, 9), (0, 11), (18, 25), (7, 9), (26, 30), (34, 3), (10, 25), (31, 10), (0, 14), (5, 8), (29, 8), (15, 17), (10, 18), (17, 1), (25, 5), (11, 31), (17, 31), (32, 33), (27, 16), (33, 22), (3, 24), (23, 28), (8, 11), (6, 9), (0, 25), (12, 24), (0, 24), (24, 36), (0, 36), (21, 10), (16, 29), (31, 18), (5, 12), (16, 34), (5, 22), (8, 16), (27, 7), (5, 29), (21, 0), (17, 12), (7, 6), (1, 22), (34, 8), (20, 6), (27, 3), (33, 16), (33, 1), (17, 7), (30, 20), (1, 35), (14, 5), (12, 32), (18, 2), (25, 33), (20, 31), (5, 25), (6, 24), (6, 18), (26, 18), (7, 18), (12, 33), (0, 33), (31, 13), (18, 12), (35, 6), (0, 21), (1, 29), (25, 4), (10, 12), (12, 6), (25, 12), (23, 12), (21, 32), (2, 33), (23, 36), (8, 5), (32, 22), (15, 21), (28, 12), (14, 35), (15, 2), (21, 28), (15, 1), (24, 29), (22, 8), (4, 32), (24, 25), (5, 19), (22, 35), (12, 16), (17, 17), (18, 36), (2, 32), (33, 7), (33, 34), (22, 28), (8, 4), (21, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 30), (12, 15), (23, 16), (7, 0), (2, 34), (16, 17), (28, 31), (12, 35), (5, 0), (28, 22), (27, 6), (24, 23), (0, 8), (8, 19), (11, 23), (12, 5), (6, 35), (16, 5), (9, 32), (7, 12), (22, 2), (17, 30), (29, 25), (24, 20), (8, 12), (8, 13), (4, 19), (22, 18), (15, 0), (26, 25), (25, 29), (21, 17), (13, 7), (20, 19), (0, 4), (1, 4), (15, 32), (18, 5), (4, 8), (21, 0), (9, 29), (24, 30), (18, 20), (2, 31), (14, 22), (24, 21), (0, 29), (18, 23), (10, 35), (27, 35), (23, 1), (0, 6), (6, 20), (23, 34), (10, 26), (26, 2), (15, 9), (13, 0), (28, 0), (13, 10), (28, 20), (14, 15), (22, 10), (6, 13), (10, 24), (19, 14), (0, 10), (28, 9), (29, 19), (20, 21), (0, 15), (25, 2), (17, 28), (5, 19), (16, 11), (14, 30), (27, 12), (9, 6), (15, 33), (4, 2), (28, 23), (6, 10), (22, 25), (10, 11), (23, 12), (24, 1), (17, 5), (27, 27), (5, 5), (21, 24), (15, 4), (0, 21), (12, 21), (7, 4), (15, 21), (10, 23), (12, 3), (21, 12), (16, 35), (11, 1), (7, 24), (17, 11), (29, 11), (0, 7), (13, 24), (24, 26), (10, 13), (4, 5), (9, 13), (23, 10), (9, 0), (0, 35), (19, 27), (3, 19), (23, 21), (0, 18), (23, 35), (14, 3), (19, 28), (18, 10), (13, 21), (20, 5), (5, 14), (27, 31), (23, 15), (17, 19), (10, 3), (5, 8), (11, 16), (28, 30), (12, 12), (2, 11), (0, 11), (1, 31), (24, 8), (10, 0), (3, 3), (20, 3), (15, 23), (9, 33), (25, 9), (15, 28), (29, 27), (21, 33), (0, 22), (8, 3), (22, 11), (16, 22), (21, 30), (7, 30), (15, 8), (23, 24), (29, 17), (18, 0), (17, 24), (5, 21), (19, 12), (25, 22), (17, 31), (26, 15), (10, 15), (28, 26), (28, 29), (17, 23), (8, 10), (28, 10), (24, 2), (26, 31), (24, 9), (16, 21), (26, 21), (23, 0), (7, 14), (23, 27), (7, 34), (19, 4), (1, 24), (22, 19), (10, 33), (14, 0), (22, 5), (23, 4), (20, 14), (22, 23), (22, 15), (10, 29), (27, 7), (26, 13), (10, 6), (27, 18), (23, 13), (13, 35), (20, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 35x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 9), (11, 26), (19, 10), (10, 25), (5, 12), (28, 32), (15, 17), (15, 6), (33, 32), (28, 19), (4, 4), (27, 21), (4, 24), (8, 29), (9, 19), (4, 12), (30, 24), (1, 15), (18, 13), (18, 1), (13, 25), (7, 14), (27, 30), (14, 17), (31, 33), (29, 6), (25, 23), (32, 25), (31, 4), (11, 2), (32, 32), (3, 27), (30, 28), (20, 34), (20, 1), (2, 12), (10, 5), (13, 26), (16, 16), (4, 14), (23, 14), (10, 4), (27, 32), (10, 15), (6, 10), (33, 20), (23, 17), (1, 1), (28, 27), (24, 11), (16, 6), (26, 15), (13, 8), (11, 12), (23, 18), (29, 2), (24, 8), (14, 34), (30, 14), (10, 19), (9, 14), (8, 32), (9, 18), (15, 18), (13, 31), (24, 7), (31, 13), (25, 10), (22, 25), (5, 6), (23, 26), (4, 30), (12, 13), (3, 29), (2, 28), (33, 31), (26, 25), (3, 14), (34, 16), (25, 5), (23, 8), (30, 27), (26, 13), (32, 8), (16, 4), (5, 4), (11, 21), (18, 6), (13, 2), (7, 34), (32, 31), (25, 7), (0, 7), (22, 15), (33, 14), (11, 16), (32, 18), (22, 2), (6, 9), (2, 9), (19, 33), (23, 2), (30, 31), (27, 22), (20, 27), (30, 19), (31, 26), (29, 17), (22, 19), (23, 5), (25, 12), (15, 7), (26, 29), (1, 5), (6, 26), (30, 12), (8, 27), (0, 18), (9, 11), (7, 12), (21, 22), (5, 19), (21, 8), (12, 6), (20, 15), (19, 28), (22, 20), (34, 18), (18, 31), (33, 33), (31, 21), (18, 19), (27, 12), (0, 21), (33, 22), (19, 8), (27, 19), (1, 19), (5, 10), (23, 9), (7, 5), (10, 34), (2, 32), (28, 20), (7, 15), (0, 11), (32, 11), (17, 22), (6, 1), (13, 30), (11, 22), (14, 26), (29, 3), (7, 21), (19, 23), (16, 18), (19, 20), (2, 5), (4, 28), (34, 3), (29, 7), (8, 31), (19, 21), (16, 3), (6, 22), (17, 20), (2, 15), (9, 26), (34, 5), (20, 30), (2, 6), (34, 7), (26, 1), (26, 12), (19, 25), (13, 19), (18, 4), (1, 2), (14, 19), (25, 18), (34, 10), (13, 21), (7, 23), (29, 34), (11, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 26), (26, 31), (0, 3), (23, 19), (27, 14), (32, 15), (29, 4), (31, 15), (12, 15), (12, 4), (13, 31), (8, 4), (25, 8), (16, 0), (31, 28), (1, 29), (14, 17), (1, 28), (34, 19), (2, 31), (18, 12), (4, 17), (25, 6), (19, 26), (34, 14), (29, 14), (22, 18), (10, 20), (15, 8), (12, 25), (11, 21), (0, 14), (24, 6), (7, 3), (29, 28), (22, 21), (8, 11), (13, 24), (18, 31), (22, 10), (10, 22), (9, 7), (7, 7), (4, 7), (17, 17), (10, 31), (3, 18), (5, 22), (17, 4), (22, 16), (16, 17), (1, 8), (16, 22), (1, 17), (13, 8), (33, 27), (10, 18), (33, 17), (18, 18), (19, 15), (14, 20), (19, 8), (16, 9), (17, 30), (4, 12), (6, 27), (9, 19), (29, 3), (27, 10), (23, 17), (34, 2), (30, 0), (0, 21), (33, 25), (11, 2), (3, 17), (20, 24), (11, 15), (25, 2), (27, 16), (2, 5), (14, 11), (5, 11), (24, 17), (10, 27), (14, 13), (20, 26), (28, 19), (25, 7), (17, 0), (31, 30), (34, 18), (15, 25), (29, 0), (22, 12), (2, 8), (11, 5), (3, 24), (27, 5), (30, 9), (30, 8), (6, 29), (10, 10), (3, 19), (10, 7), (18, 4), (34, 13), (33, 3), (21, 5), (29, 1), (31, 1), (2, 0), (34, 10), (24, 0), (19, 4), (16, 1), (19, 3), (3, 27), (32, 27), (2, 27), (3, 31), (16, 29), (18, 0), (32, 19), (9, 26), (13, 29), (8, 2), (6, 1), (2, 9), (7, 0), (11, 13), (21, 12), (1, 23), (19, 16), (9, 30), (17, 2), (25, 0), (29, 24), (8, 19), (7, 15), (4, 3), (1, 5), (28, 13), (16, 21), (5, 1), (27, 19), (13, 10), (26, 30), (3, 5), (25, 13), (28, 12), (14, 1), (23, 14), (14, 26), (4, 26), (31, 23), (14, 25), (32, 18), (8, 17), (23, 23), (32, 1), (28, 22), (26, 4), (22, 8), (25, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 27), (23, 19), (29, 12), (16, 23), (9, 28), (19, 5), (9, 17), (28, 22), (5, 10), (4, 5), (15, 3), (28, 21), (17, 1), (29, 28), (3, 26), (26, 9), (14, 34), (27, 25), (30, 28), (24, 5), (7, 11), (9, 11), (8, 7), (10, 6), (11, 31), (27, 17), (29, 31), (28, 34), (7, 6), (20, 26), (18, 5), (17, 3), (30, 15), (29, 19), (4, 23), (0, 19), (22, 10), (15, 9), (1, 33), (15, 0), (22, 11), (9, 29), (17, 29), (27, 30), (20, 16), (17, 14), (5, 7), (29, 26), (27, 16), (7, 13), (16, 13), (6, 9), (28, 28), (10, 25), (3, 23), (27, 4), (8, 25), (25, 10), (22, 17), (8, 14), (28, 30), (19, 13), (10, 33), (22, 18), (18, 25), (28, 35), (5, 5), (12, 26), (22, 32), (21, 32), (7, 0), (25, 9), (15, 30), (9, 30), (26, 20), (8, 31), (22, 20), (3, 7), (26, 11), (21, 35), (12, 6), (2, 16), (14, 30), (22, 26), (30, 6), (5, 34), (3, 8), (9, 15), (10, 21), (30, 13), (1, 24), (27, 19), (4, 22), (15, 16), (11, 25), (24, 16), (15, 31), (14, 9), (21, 7), (2, 24), (1, 10), (13, 16), (3, 4), (15, 34), (11, 34), (26, 25), (30, 3), (4, 31), (6, 13), (26, 2), (29, 9), (5, 12), (25, 2), (6, 22), (23, 28), (0, 26), (28, 5), (26, 13), (2, 17), (27, 6), (3, 9), (4, 32), (30, 14), (14, 19), (26, 35), (2, 20), (16, 19), (21, 15), (10, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 10), (11, 2), (14, 2), (5, 7), (3, 24), (22, 1), (27, 5), (18, 19), (11, 28), (23, 0), (3, 30), (15, 13), (32, 0), (31, 5), (7, 4), (0, 23), (30, 29), (13, 4), (25, 13), (33, 30), (8, 21), (15, 16), (11, 15), (2, 5), (25, 14), (32, 16), (11, 16), (20, 26), (2, 0), (0, 26), (16, 5), (8, 13), (7, 12), (9, 30), (18, 12), (1, 6), (31, 8), (18, 23), (13, 23), (25, 19), (26, 18), (23, 4), (9, 3), (17, 24), (19, 1), (16, 18), (24, 19), (31, 13), (13, 5), (10, 16), (6, 30), (30, 8), (22, 4), (12, 17), (0, 3), (27, 27), (30, 10), (10, 11), (7, 0), (8, 10), (26, 25), (26, 12), (2, 9), (3, 27), (35, 18), (6, 4), (21, 7), (19, 24), (1, 7), (20, 12), (29, 20), (0, 5), (20, 2), (22, 13), (12, 7), (3, 7), (11, 29), (4, 1), (25, 5), (0, 30), (10, 0), (23, 22), (27, 21), (20, 15), (29, 25), (7, 27), (17, 2), (12, 26), (26, 6), (19, 3), (14, 25), (26, 5), (10, 21), (7, 23), (2, 7), (25, 28), (34, 20), (18, 6), (3, 22), (2, 29), (23, 6), (29, 14), (0, 15), (30, 17), (23, 23), (6, 29), (10, 10), (19, 19), (32, 4), (4, 20), (24, 2), (7, 19), (20, 19), (31, 21), (13, 1), (11, 25), (22, 11), (16, 4), (7, 10), (8, 17), (6, 15), (35, 10), (4, 13), (11, 23), (4, 6), (1, 13), (6, 26), (25, 16), (6, 24), (18, 4), (16, 11), (21, 29), (25, 0), (22, 30), (13, 0), (28, 25), (32, 30), (21, 19), (21, 20), (4, 23), (13, 16), (27, 23), (24, 24), (22, 6), (29, 27), (7, 6), (23, 26), (10, 2), (7, 16), (20, 3), (35, 7), (19, 18), (31, 22), (27, 8), (31, 29), (16, 6), (0, 20), (28, 4), (29, 8), (24, 20), (1, 15), (7, 5), (9, 27), (8, 27), (4, 15), (33, 20), (30, 23), (32, 11), (25, 7), (28, 15), (21, 27), (12, 0), (1, 0), (12, 3), (20, 11), (4, 29), (33, 7), (17, 4), (18, 20), (14, 13), (16, 17), (14, 11), (10, 6), (3, 3), (5, 24), (11, 30), (24, 29), (8, 23), (9, 17), (20, 7), (13, 3), (8, 6), (19, 30), (1, 25), (8, 19), (34, 27), (6, 19), (22, 24), (29, 28), (1, 18), (35, 20), (5, 1), (33, 19), (21, 2), (5, 4), (16, 10), (23, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 35x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 5), (23, 21), (30, 13), (28, 20), (2, 33), (22, 38), (8, 15), (16, 3), (1, 29), (30, 5), (14, 21), (12, 31), (14, 32), (8, 27), (23, 31), (9, 10), (23, 22), (29, 4), (20, 0), (13, 10), (13, 12), (10, 35), (2, 32), (16, 2), (7, 20), (0, 12), (25, 37), (19, 27), (17, 17), (8, 28), (18, 6), (6, 7), (24, 31), (22, 19), (13, 20), (6, 35), (10, 23), (16, 30), (31, 25), (27, 14), (14, 30), (20, 3), (14, 5), (12, 38), (28, 6), (19, 38), (29, 32), (4, 4), (14, 29), (24, 27), (14, 12), (18, 17), (8, 29), (9, 35), (15, 35), (16, 11), (0, 31), (4, 21), (17, 23), (15, 28), (33, 20), (24, 19), (3, 24), (13, 14), (32, 8), (8, 5), (20, 15), (4, 38), (4, 37), (9, 3), (24, 7), (12, 4), (4, 11), (5, 32), (25, 18), (3, 35), (23, 10), (34, 30), (1, 11), (12, 30), (9, 0), (7, 15), (26, 25), (1, 12), (1, 32), (22, 1), (7, 1), (22, 23), (30, 12), (15, 12), (4, 23), (18, 19), (30, 3), (19, 2), (2, 17), (22, 18), (1, 19), (5, 19), (2, 4), (11, 37), (16, 28), (19, 11), (7, 36), (20, 11), (1, 1), (0, 16), (0, 35), (23, 23), (33, 18), (17, 32), (21, 11), (7, 14), (0, 30), (11, 5), (26, 29), (32, 17), (13, 21), (0, 8), (31, 3), (30, 31), (11, 7), (32, 1), (33, 34), (4, 15), (15, 37), (21, 35), (9, 7), (1, 3), (14, 31), (33, 8), (30, 22), (1, 36), (4, 1), (18, 13), (11, 34), (31, 10), (0, 1), (30, 37), (3, 16), (21, 37), (32, 35), (12, 13), (27, 0), (28, 2), (15, 33), (11, 24), (32, 34), (14, 6), (28, 32), (26, 4), (11, 28), (14, 4), (30, 28), (25, 25), (33, 10), (27, 31), (29, 0), (9, 13), (5, 25), (13, 0), (24, 23), (6, 8), (30, 0), (20, 35), (20, 37), (28, 26), (17, 38), (16, 34), (21, 15), (19, 29), (7, 9), (21, 26), (21, 22), (29, 6), (9, 28), (31, 34), (31, 15), (17, 6), (6, 9), (27, 22), (16, 38), (30, 7), (17, 22), (29, 10), (25, 17), (16, 15), (14, 0), (34, 17), (24, 18), (29, 37), (22, 27), (26, 11), (3, 17), (16, 22), (3, 12), (15, 21), (28, 37), (15, 32), (23, 11), (4, 26), (29, 13), (23, 0), (15, 17), (11, 6), (32, 15), (11, 29), (20, 16), (14, 24), (0, 32), (4, 12), (25, 34), (0, 21), (7, 35), (34, 32), (9, 11), (2, 27), (15, 29), (2, 10), (26, 8), (24, 0), (33, 25), (12, 34), (34, 33), (6, 14), (21, 4), (5, 27), (1, 26), (16, 9), (22, 24), (22, 31), (20, 6), (10, 4), (22, 11), (22, 21), (18, 10), (18, 38), (22, 30), (25, 35)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 27), (9, 29), (30, 11), (25, 23), (1, 20), (6, 13), (18, 21), (21, 13), (29, 5), (29, 17), (3, 25), (5, 30), (32, 26), (31, 20), (1, 26), (1, 22), (20, 20), (18, 16), (30, 1), (18, 15), (7, 20), (23, 0), (3, 30), (16, 28), (21, 9), (22, 18), (14, 9), (21, 12), (8, 22), (28, 32), (30, 2), (25, 12), (14, 30), (21, 32), (22, 24), (31, 25), (9, 18), (15, 23), (10, 1), (15, 2), (0, 25), (23, 29), (17, 1), (13, 6), (27, 30), (33, 23), (17, 7), (11, 23), (22, 26), (15, 13), (27, 17), (30, 0), (8, 20), (25, 8), (10, 11), (9, 1), (27, 32), (27, 2), (17, 17), (9, 6), (17, 3), (19, 6), (31, 10), (5, 5), (32, 16), (2, 16), (3, 24), (5, 16), (17, 20), (13, 8), (26, 16), (0, 3), (7, 8), (1, 21), (31, 9), (9, 22), (28, 19), (15, 25), (11, 25), (27, 29), (28, 14), (14, 18), (8, 0), (33, 15), (17, 0), (5, 3), (26, 12), (15, 32), (3, 1), (21, 8), (4, 9), (22, 27), (30, 23), (16, 15), (18, 12), (30, 26), (3, 22), (1, 11), (19, 14), (5, 24), (18, 31), (9, 26), (3, 31), (33, 5), (19, 27), (1, 3), (11, 15), (14, 24), (19, 13), (31, 24), (18, 30), (1, 9), (4, 5), (27, 9), (6, 23), (26, 11), (34, 17), (12, 2), (8, 4), (3, 32), (16, 20), (22, 19), (27, 13), (15, 28), (3, 3), (1, 29), (17, 5), (30, 20), (18, 13), (27, 1), (12, 32), (5, 29), (29, 4), (31, 23), (16, 7), (32, 3), (27, 19), (19, 16), (12, 16), (30, 6), (24, 13), (5, 22), (11, 5), (13, 28), (10, 29), (13, 3), (20, 32), (19, 9), (12, 20), (10, 22), (26, 1), (16, 8), (28, 25), (3, 12), (9, 9), (33, 13), (24, 18), (15, 12), (7, 21), (9, 23), (31, 13), (17, 24), (15, 3), (20, 3), (6, 5), (2, 7), (19, 25), (10, 13), (8, 19), (34, 23), (6, 26), (26, 28), (29, 13), (15, 0), (15, 30), (0, 27), (1, 0), (0, 11), (33, 21), (17, 31), (1, 30), (17, 29), (26, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 18), (18, 4), (1, 28), (4, 10), (21, 34), (13, 28), (17, 16), (24, 9), (17, 5), (21, 22), (18, 3), (5, 17), (20, 20), (1, 29), (14, 13), (20, 25), (29, 15), (23, 5), (0, 4), (13, 15), (19, 6), (25, 11), (11, 24), (29, 7), (22, 6), (26, 24), (0, 17), (3, 3), (4, 14), (20, 9), (7, 7), (6, 26), (0, 22), (17, 18), (13, 14), (20, 32), (5, 2), (24, 34), (14, 9), (8, 18), (22, 4), (27, 3), (6, 27), (10, 36), (4, 6), (13, 25), (18, 26), (14, 21), (22, 8), (14, 35), (26, 34), (13, 11), (28, 2), (3, 34), (7, 8), (12, 18), (16, 7), (0, 16), (27, 10), (14, 29), (22, 21), (1, 32), (29, 24), (24, 4), (26, 10), (20, 4), (12, 14), (29, 14), (22, 26), (28, 29), (19, 37), (2, 9), (0, 27), (27, 5), (23, 31), (12, 24), (20, 15), (21, 35), (1, 30), (26, 25), (3, 27), (22, 20), (2, 30), (18, 1), (23, 12), (29, 31), (9, 15), (29, 13), (16, 1), (17, 34), (8, 17), (28, 14), (7, 34), (11, 11), (8, 3), (4, 26), (8, 10), (11, 35), (27, 22), (23, 0), (23, 30), (15, 19), (24, 25), (2, 35), (4, 15), (27, 29), (12, 19), (16, 8), (23, 15), (25, 7), (21, 19), (11, 15), (20, 18), (0, 9), (27, 20), (21, 5), (3, 28), (8, 36), (11, 20), (7, 18), (0, 1), (19, 21), (4, 36), (4, 7), (27, 21), (27, 26), (5, 28), (13, 17), (27, 14), (26, 28), (19, 12), (2, 25), (5, 23), (12, 27), (10, 28), (19, 17), (16, 4), (3, 9), (2, 19), (15, 34), (4, 20), (24, 24), (18, 10), (4, 0), (25, 37), (9, 37), (12, 16), (20, 13), (5, 6), (22, 37), (7, 19), (27, 31), (14, 19), (25, 23), (11, 30), (8, 37), (4, 12), (28, 31), (6, 34), (7, 3), (2, 31), (23, 3), (8, 30), (25, 30), (18, 2), (1, 27), (11, 23), (18, 34), (18, 9), (6, 29), (28, 12), (25, 0), (21, 9), (5, 25), (21, 12), (1, 20), (14, 37), (22, 9), (6, 10), (3, 7), (17, 21), (25, 31), (9, 7), (1, 23), (4, 5), (18, 23), (28, 8), (24, 7), (25, 5), (12, 37), (2, 29), (1, 31), (15, 4), (24, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 3), (19, 34), (12, 22), (9, 6), (12, 21), (21, 36), (24, 27), (18, 11), (25, 17), (10, 18), (28, 35), (0, 19), (28, 1), (21, 0), (20, 27), (0, 29), (7, 2), (15, 12), (30, 20), (21, 28), (15, 34), (20, 29), (28, 9), (22, 17), (7, 21), (16, 4), (0, 1), (8, 20), (14, 32), (9, 7), (10, 36), (18, 25), (8, 10), (30, 16), (21, 7), (23, 21), (6, 15), (26, 26), (22, 16), (8, 9), (12, 7), (18, 9), (0, 24), (27, 14), (22, 18), (17, 13), (23, 3), (14, 29), (10, 14), (16, 3), (9, 20), (17, 36), (24, 8), (4, 22), (26, 19), (1, 24), (2, 28), (19, 12), (17, 24), (10, 29), (1, 3), (1, 10), (11, 5), (0, 11), (26, 24), (18, 34), (28, 22), (3, 15), (1, 8), (20, 31), (11, 22), (12, 11), (6, 28), (21, 30), (1, 29), (24, 0), (9, 35), (20, 9), (0, 36), (23, 10), (1, 14), (20, 4), (15, 36), (24, 29), (12, 3), (11, 35), (3, 28), (10, 28), (17, 25), (23, 6), (24, 34), (30, 17), (30, 1), (0, 33), (12, 25), (23, 13), (22, 10), (23, 17), (30, 25), (2, 24), (29, 35), (30, 18), (0, 7), (2, 36), (4, 19), (4, 15), (9, 22), (15, 14), (2, 0), (20, 13), (14, 10), (10, 7), (23, 25), (17, 16), (11, 11), (22, 25), (15, 15), (8, 7), (25, 8), (28, 23), (7, 34), (26, 29), (23, 15), (17, 17), (9, 29), (2, 5), (3, 11), (7, 19), (25, 28), (11, 12), (8, 1), (18, 15), (30, 12), (5, 24), (10, 31), (30, 13), (13, 7), (8, 35), (26, 33), (14, 14), (4, 20), (9, 1), (12, 35), (14, 9), (0, 34), (22, 24), (0, 12), (19, 30), (23, 4), (9, 16), (21, 31), (11, 27), (10, 25), (10, 6), (6, 13), (30, 2), (2, 2), (16, 25), (29, 29), (3, 6), (18, 12), (15, 5), (11, 21), (29, 26), (21, 2), (25, 32), (24, 24), (2, 22), (28, 29), (21, 11), (5, 36), (22, 31), (23, 19), (1, 26), (23, 11), (6, 21), (12, 36), (7, 18), (23, 16), (21, 9), (15, 24), (14, 27), (10, 24), (2, 10), (5, 21), (28, 31), (21, 19), (22, 1), (3, 0), (18, 18), (3, 18), (17, 33), (9, 2), (15, 16), (6, 35), (25, 23), (24, 18), (12, 9), (18, 10), (6, 34), (19, 1), (25, 27), (29, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 35x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 6), (2, 35), (21, 4), (0, 1), (23, 24), (19, 18), (11, 31), (8, 18), (18, 9), (25, 4), (19, 20), (12, 3), (2, 31), (28, 34), (5, 17), (4, 20), (16, 6), (33, 10), (22, 5), (30, 17), (5, 30), (16, 14), (26, 7), (9, 12), (14, 4), (6, 15), (18, 33), (16, 3), (30, 13), (15, 35), (32, 4), (30, 25), (1, 11), (9, 21), (23, 32), (24, 5), (12, 12), (27, 3), (30, 3), (5, 34), (19, 24), (11, 21), (17, 33), (4, 15), (25, 14), (17, 30), (1, 22), (34, 13), (8, 2), (8, 19), (25, 32), (2, 28), (5, 12), (1, 4), (8, 7), (30, 18), (9, 17), (27, 2), (27, 17), (3, 35), (34, 24), (13, 28), (34, 28), (8, 5), (10, 25), (9, 1), (24, 31), (25, 16), (30, 34), (15, 17), (32, 23), (29, 2), (30, 4), (31, 13), (11, 33), (21, 14), (11, 32), (31, 22), (6, 28), (23, 1), (24, 33), (20, 15), (33, 26), (10, 34), (33, 28), (18, 30), (17, 11), (33, 29), (13, 33), (23, 9), (26, 17), (1, 13), (20, 19), (32, 24), (19, 35), (15, 27), (27, 11), (31, 18), (13, 17), (8, 10), (19, 6), (28, 33), (19, 32), (15, 22), (32, 17), (18, 35), (14, 1), (25, 19), (20, 3), (28, 5), (7, 11), (14, 13), (17, 3), (11, 5), (19, 4), (3, 16), (7, 10), (26, 21), (27, 30), (4, 26), (12, 26), (31, 26), (30, 27), (5, 16), (20, 0), (14, 14), (11, 16), (6, 30), (9, 16), (4, 27), (7, 12), (9, 15), (12, 25), (15, 6), (16, 20), (16, 8), (7, 33), (22, 11), (21, 34), (23, 35), (2, 29), (6, 31), (16, 33), (12, 9), (10, 11), (6, 24), (14, 21), (2, 11), (23, 3), (9, 8), (14, 6), (10, 35), (22, 25), (8, 30), (34, 17), (20, 32), (10, 29), (10, 1), (10, 30), (8, 14), (31, 32), (11, 1), (33, 12), (20, 13), (24, 10), (27, 5), (4, 1), (2, 32), (29, 26), (28, 11), (31, 14), (12, 30), (8, 28), (1, 16), (6, 33), (2, 6), (28, 30), (16, 4), (31, 25), (29, 3), (19, 12), (1, 20), (7, 19), (23, 23), (30, 20), (25, 8), (25, 35), (18, 16), (32, 29), (0, 9), (3, 14), (14, 35), (0, 23), (7, 35), (31, 29), (31, 2), (33, 14), (2, 4), (16, 0), (26, 15), (14, 2), (30, 8), (9, 31), (11, 25), (14, 7), (27, 27), (1, 21), (4, 28), (33, 13), (14, 28), (15, 30), (11, 30), (8, 11), (22, 23), (1, 8), (1, 23), (3, 22), (11, 3), (7, 24), (2, 9), (32, 31), (5, 24), (17, 0), (29, 16), (0, 34), (21, 26), (10, 16), (6, 13), (16, 18), (4, 6), (30, 11), (9, 35), (1, 29), (32, 1), (20, 17), (32, 12), (24, 23), (3, 23), (19, 30), (13, 16), (2, 0), (20, 16), (0, 22), (4, 11), (17, 9), (0, 11), (14, 23), (8, 3), (2, 22), (12, 31), (34, 23), (34, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 36x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 26), (25, 35), (18, 23), (34, 19), (18, 7), (23, 1), (11, 5), (16, 34), (3, 9), (29, 26), (18, 33), (31, 1), (10, 2), (30, 35), (11, 0), (22, 3), (19, 31), (24, 4), (1, 10), (21, 29), (28, 15), (27, 8), (8, 15), (21, 16), (27, 4), (35, 19), (14, 24), (33, 34), (4, 9), (21, 28), (4, 20), (12, 28), (28, 28), (3, 11), (5, 25), (7, 14), (26, 9), (23, 35), (18, 10), (2, 2), (31, 15), (20, 18), (5, 9), (25, 27), (10, 20), (8, 22), (1, 20), (21, 18), (14, 3), (30, 8), (22, 17), (13, 22), (30, 19), (32, 17), (10, 11), (21, 17), (0, 29), (24, 32), (34, 32), (30, 11), (25, 32), (25, 9), (30, 31), (19, 25), (24, 23), (16, 14), (22, 31), (28, 6), (32, 6), (18, 21), (7, 35), (30, 1), (7, 2), (24, 29), (0, 22), (27, 6), (9, 10), (13, 18), (22, 24), (2, 7), (3, 25), (16, 35), (13, 23), (32, 9), (11, 33), (22, 33), (7, 19), (19, 22), (33, 33), (13, 30), (9, 28), (12, 7), (17, 19), (1, 16), (13, 7), (11, 18), (19, 21), (20, 29), (18, 6), (5, 33), (14, 10), (28, 9), (35, 0), (20, 28), (6, 23), (9, 26), (26, 15), (13, 29), (4, 19), (23, 17), (16, 19), (14, 25), (10, 31), (20, 34), (9, 1), (13, 26), (17, 31), (5, 34), (20, 24), (4, 0), (24, 7), (7, 18), (31, 14), (4, 3), (12, 24), (26, 3), (32, 3), (34, 15), (4, 35), (23, 32), (11, 23), (12, 4), (14, 31), (30, 5), (14, 28), (28, 8), (11, 25), (5, 4), (10, 13), (12, 18), (22, 32), (12, 19), (33, 9), (15, 10), (11, 15), (3, 12), (13, 2), (23, 18), (27, 20), (1, 15), (13, 15), (23, 22), (8, 12), (6, 6), (26, 28), (24, 25), (18, 25), (0, 13), (9, 29), (32, 15), (13, 19), (1, 26), (14, 16), (25, 4), (5, 20), (19, 5), (11, 2), (12, 11), (23, 5), (10, 15), (16, 23), (13, 3), (7, 7), (0, 31), (22, 30), (35, 33), (35, 8), (16, 4), (21, 9), (17, 27), (31, 9), (14, 26), (3, 22), (31, 29), (34, 23), (10, 24), (18, 4), (19, 27), (11, 3), (20, 33), (29, 15), (18, 30), (20, 7), (24, 26), (7, 32), (29, 6), (35, 7), (32, 5), (4, 17), (28, 30), (0, 25), (0, 5), (34, 34), (25, 6), (2, 34), (7, 11), (4, 18), (8, 32), (28, 21), (28, 33), (0, 8), (11, 21), (10, 8), (0, 4), (14, 18), (21, 0), (2, 23), (34, 10), (28, 13), (9, 25), (6, 15), (32, 27), (29, 21), (7, 1), (29, 7), (2, 27), (7, 16), (24, 12), (3, 27), (9, 30), (19, 26), (7, 29), (14, 2), (31, 30), (27, 18), (18, 24), (4, 16), (28, 17), (16, 8), (35, 21), (23, 25), (1, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "In a 34x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 32), (17, 20), (18, 16), (0, 5), (13, 25), (13, 30), (12, 3), (11, 30), (7, 19), (21, 23), (26, 1), (19, 8), (18, 10), (22, 10), (22, 18), (6, 4), (28, 6), (2, 2), (28, 31), (15, 10), (17, 11), (4, 21), (19, 13), (14, 21), (4, 31), (29, 14), (11, 14), (9, 10), (22, 12), (9, 3), (22, 8), (19, 20), (25, 1), (3, 12), (1, 15), (5, 18), (0, 12), (5, 25), (25, 3), (31, 24), (0, 11), (5, 26), (25, 9), (26, 5), (27, 20), (8, 10), (15, 13), (15, 7), (24, 5), (16, 24), (23, 21), (9, 15), (27, 25), (3, 23), (12, 25), (17, 29), (29, 32), (0, 18), (5, 24), (33, 24), (13, 32), (17, 33), (4, 16), (3, 30), (25, 15), (30, 26), (30, 3), (17, 23), (21, 24), (5, 7), (23, 20), (10, 13), (1, 30), (26, 20), (2, 28), (18, 17), (27, 17), (9, 4), (1, 17), (14, 5), (2, 22), (15, 16), (26, 21), (5, 3), (23, 8), (19, 14), (32, 10), (18, 14), (5, 13), (14, 13), (17, 28), (3, 18), (10, 9), (19, 21), (16, 21), (14, 15), (9, 22), (27, 7), (8, 3), (18, 13), (13, 1), (11, 15), (25, 2), (28, 30), (29, 12), (10, 11), (14, 29), (16, 13), (19, 0), (29, 6), (0, 25), (5, 30), (29, 11), (17, 1), (6, 23), (6, 14), (30, 32), (21, 7), (1, 26), (25, 7), (10, 10), (14, 25), (20, 23), (3, 5), (17, 22), (31, 17), (32, 25), (24, 7), (25, 5), (21, 30), (25, 30), (20, 28), (5, 8), (26, 27), (2, 15), (0, 13), (28, 9), (33, 14), (10, 3), (20, 0), (5, 6), (25, 6), (27, 16), (5, 15), (7, 13), (4, 22), (11, 1), (8, 17), (21, 19), (28, 14), (28, 2), (3, 27), (20, 24), (21, 8), (26, 0), (12, 33), (17, 14), (33, 17), (7, 29), (8, 0), (12, 7), (1, 2), (10, 25), (31, 23), (21, 11), (22, 29), (31, 12), (31, 29), (25, 10), (27, 32), (22, 33), (19, 30), (16, 11), (27, 11), (10, 29), (2, 25), (5, 14), (25, 4), (29, 2), (23, 12), (10, 30), (0, 14), (11, 4), (3, 26), (6, 7), (19, 15), (30, 0), (26, 22), (25, 26), (22, 7), (33, 30), (6, 15), (1, 32), (0, 21), (0, 1), (11, 25), (4, 2), (0, 23), (24, 12), (30, 20), (22, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 24), (3, 16), (16, 23), (22, 22), (12, 10), (28, 14), (15, 24), (20, 2), (10, 38), (28, 7), (18, 12), (18, 27), (0, 8), (16, 20), (4, 18), (19, 7), (1, 22), (30, 11), (14, 31), (3, 6), (9, 11), (14, 15), (19, 25), (21, 14), (17, 2), (19, 35), (5, 2), (29, 7), (25, 6), (21, 32), (22, 9), (24, 3), (3, 1), (11, 3), (24, 11), (24, 38), (25, 26), (10, 25), (17, 23), (0, 6), (12, 11), (6, 17), (3, 37), (14, 23), (0, 9), (23, 35), (30, 37), (27, 14), (15, 30), (20, 18), (15, 2), (19, 11), (14, 33), (21, 25), (31, 3), (18, 9), (28, 12), (13, 16), (11, 6), (20, 35), (1, 10), (10, 27), (17, 7), (16, 18), (9, 38), (19, 31), (30, 22), (15, 17), (13, 8), (30, 5), (16, 37), (23, 27), (16, 17), (2, 36), (22, 23), (11, 23), (28, 5), (15, 20), (21, 18), (11, 37), (10, 14), (16, 10), (7, 6), (21, 30), (24, 8), (27, 16), (10, 24), (23, 36), (8, 13), (2, 14), (11, 29), (13, 19), (25, 32), (25, 15), (29, 5), (19, 13), (0, 33), (6, 12), (6, 35), (24, 12), (30, 12), (27, 32), (10, 15), (25, 24), (13, 36), (6, 24), (24, 14), (32, 21), (24, 30), (12, 18), (1, 5), (8, 23), (18, 31), (25, 10), (24, 34), (31, 2), (10, 22), (26, 12), (25, 9), (13, 34), (5, 25), (13, 15), (8, 8), (2, 33), (11, 8), (9, 8), (12, 22), (12, 36), (28, 15), (7, 13), (6, 5), (26, 17), (14, 35), (6, 4), (1, 20), (30, 35), (9, 1), (29, 22), (21, 36), (26, 26), (19, 29), (6, 7), (22, 21), (32, 11), (21, 8), (19, 33), (16, 33), (18, 24), (5, 21), (10, 6), (28, 24), (27, 15), (32, 34), (27, 11), (6, 6), (14, 4), (6, 16), (14, 30), (0, 1), (28, 26), (1, 28), (4, 37), (26, 11), (21, 19), (19, 17), (24, 25), (17, 26), (15, 28), (18, 0), (4, 38), (4, 35), (27, 24), (21, 33), (24, 20), (26, 29), (7, 38), (23, 6), (7, 22), (31, 26), (29, 6), (22, 1), (11, 2), (11, 17), (20, 1), (31, 20), (8, 22), (28, 9), (14, 20), (21, 35), (3, 20), (27, 3), (6, 30), (31, 4), (29, 4), (5, 9), (23, 25), (13, 33), (20, 29), (24, 32), (4, 15), (20, 12), (1, 7), (12, 24), (8, 25), (32, 27), (11, 14), (12, 6), (3, 33), (15, 32), (8, 21), (19, 26), (31, 18), (24, 7), (14, 24), (7, 2), (2, 30), (2, 28), (4, 9), (7, 3), (21, 2), (8, 30), (20, 5), (29, 30), (27, 9), (18, 15), (11, 20), (21, 0), (32, 23), (19, 6), (23, 15), (5, 22), (23, 18), (22, 38), (9, 25), (27, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 32x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 36), (30, 9), (13, 28), (7, 18), (9, 35), (16, 26), (12, 0), (19, 13), (31, 18), (10, 19), (23, 27), (6, 8), (25, 20), (12, 3), (4, 34), (4, 15), (16, 20), (16, 27), (3, 28), (22, 21), (6, 11), (15, 26), (8, 24), (27, 14), (12, 29), (23, 32), (26, 20), (30, 16), (24, 4), (2, 25), (11, 20), (14, 31), (13, 22), (29, 24), (10, 26), (26, 33), (9, 32), (17, 5), (22, 0), (26, 37), (30, 7), (10, 33), (2, 4), (21, 7), (2, 11), (24, 38), (5, 26), (10, 1), (23, 12), (5, 12), (6, 28), (12, 16), (25, 29), (23, 14), (28, 0), (26, 13), (18, 0), (15, 3), (9, 19), (4, 22), (18, 17), (4, 31), (1, 8), (7, 19), (24, 24), (5, 8), (4, 0), (3, 7), (22, 38), (30, 11), (31, 20), (23, 17), (2, 30), (23, 18), (10, 13), (21, 33), (19, 25), (25, 26), (10, 3), (29, 8), (17, 3), (3, 10), (18, 7), (0, 19), (28, 27), (25, 4), (17, 19), (11, 15), (9, 24), (19, 34), (4, 7), (13, 20), (30, 19), (3, 23), (12, 22), (10, 27), (11, 1), (4, 32), (7, 37), (29, 31), (10, 12), (18, 21), (16, 12), (7, 3), (20, 22), (12, 20), (12, 25), (8, 3), (3, 2), (25, 22), (10, 5), (16, 32), (6, 13), (10, 2), (11, 35), (30, 27), (10, 36), (9, 2), (28, 7), (2, 16), (9, 4), (16, 25), (31, 19), (3, 30), (24, 6), (28, 15), (27, 37), (17, 17), (16, 36), (30, 22), (25, 38), (4, 6), (28, 13), (27, 35), (7, 26), (21, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 20), (31, 16), (13, 25), (12, 16), (28, 20), (0, 17), (24, 32), (8, 1), (15, 18), (32, 14), (4, 15), (11, 14), (11, 29), (6, 3), (15, 14), (5, 11), (21, 21), (17, 5), (24, 11), (23, 14), (18, 21), (24, 9), (3, 21), (18, 3), (24, 4), (8, 18), (24, 10), (17, 13), (16, 18), (12, 27), (4, 10), (0, 2), (29, 32), (21, 12), (16, 23), (7, 1), (5, 24), (11, 0), (29, 6), (20, 21), (6, 10), (19, 26), (25, 19), (1, 8), (16, 6), (17, 14), (24, 15), (9, 31), (25, 10), (19, 29), (30, 28), (13, 12), (4, 29), (29, 23), (1, 29), (15, 32), (6, 17), (7, 0), (4, 13), (12, 32), (6, 16), (17, 11), (19, 14), (24, 31), (25, 15), (30, 33), (26, 33), (14, 27), (0, 29), (17, 20), (26, 4), (9, 19), (8, 5), (28, 22), (13, 3), (10, 18), (15, 5), (2, 2), (19, 17), (11, 22), (19, 0), (23, 28), (10, 13), (15, 19), (27, 2), (1, 5), (6, 24), (10, 14), (24, 20), (8, 19), (31, 5), (18, 15), (28, 26), (24, 28), (23, 27), (13, 32), (17, 31), (19, 9), (11, 11), (22, 32), (3, 10), (2, 22), (25, 29), (27, 33), (18, 9), (22, 0), (22, 10), (9, 33), (0, 11), (25, 2), (18, 24), (24, 26), (21, 14), (1, 23), (21, 5), (16, 27), (11, 26), (5, 33), (32, 26), (27, 4), (18, 2), (10, 3), (13, 4), (10, 27), (0, 26), (6, 23), (29, 0), (2, 13), (26, 9), (27, 1), (31, 14), (12, 19), (12, 29), (25, 18), (30, 12), (6, 2), (5, 27), (5, 15), (17, 2), (30, 17), (22, 18), (17, 28), (31, 19), (29, 24), (28, 2), (8, 33), (32, 6), (23, 3), (18, 32), (2, 28), (9, 15), (24, 14), (16, 25), (14, 20), (7, 29), (27, 11), (10, 29), (14, 3), (16, 31), (15, 17), (25, 30), (20, 33), (19, 6), (10, 20), (10, 6), (27, 14), (20, 6), (15, 8), (25, 32), (11, 13), (26, 17), (22, 2), (7, 14), (19, 12), (26, 0), (11, 17), (2, 4), (2, 25), (13, 20), (2, 31), (31, 22), (27, 12), (13, 29), (30, 14), (26, 13), (27, 25), (13, 31), (24, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 20), (30, 2), (5, 16), (11, 2), (19, 15), (27, 19), (9, 22), (28, 8), (34, 12), (19, 11), (32, 25), (11, 21), (23, 29), (4, 7), (27, 9), (4, 25), (26, 11), (15, 30), (21, 26), (3, 10), (5, 21), (21, 1), (32, 3), (18, 23), (31, 6), (6, 21), (31, 27), (11, 30), (0, 24), (6, 10), (31, 18), (4, 1), (7, 24), (2, 18), (5, 4), (22, 2), (25, 14), (32, 13), (15, 17), (2, 21), (29, 24), (16, 14), (15, 21), (30, 15), (8, 8), (10, 26), (9, 1), (6, 5), (8, 20), (0, 14), (25, 17), (17, 16), (26, 0), (26, 27), (3, 27), (16, 7), (22, 22), (5, 26), (6, 9), (33, 7), (22, 15), (7, 5), (2, 0), (17, 29), (32, 28), (5, 14), (17, 17), (28, 30), (17, 8), (10, 13), (22, 0), (26, 22), (26, 17), (25, 22), (16, 22), (8, 12), (3, 17), (10, 10), (4, 9), (21, 16), (15, 4), (3, 22), (30, 20), (8, 28), (12, 5), (6, 8), (18, 18), (18, 17), (33, 17), (16, 12), (16, 11), (23, 14), (14, 8), (9, 14), (24, 14), (8, 15), (15, 6), (23, 25), (15, 9), (2, 4), (21, 30), (11, 18), (31, 25), (2, 25), (7, 20), (21, 2), (24, 24), (17, 23), (10, 22), (4, 24), (30, 6), (34, 18), (13, 7), (32, 18), (9, 2), (2, 24), (15, 1), (33, 8), (11, 17), (0, 4), (27, 15), (9, 3), (31, 19), (19, 1), (17, 21), (9, 10), (31, 4), (3, 1), (0, 30), (31, 12), (33, 24), (25, 25), (22, 12), (13, 1), (33, 30), (27, 2), (28, 27), (26, 14), (0, 15), (14, 16), (20, 23), (18, 28), (24, 12), (18, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 29), (30, 2), (20, 14), (12, 5), (7, 9), (17, 5), (18, 1), (30, 23), (25, 18), (19, 2), (13, 19), (26, 2), (23, 1), (13, 3), (30, 6), (19, 11), (15, 15), (3, 29), (21, 12), (21, 8), (23, 25), (21, 17), (5, 0), (23, 27), (1, 21), (13, 16), (5, 2), (28, 23), (25, 4), (14, 4), (9, 0), (11, 16), (16, 14), (1, 29), (23, 30), (30, 11), (20, 29), (8, 8), (12, 7), (17, 16), (29, 29), (16, 24), (22, 23), (11, 24), (18, 2), (2, 5), (11, 14), (13, 13), (3, 13), (19, 20), (21, 25), (30, 1), (26, 15), (10, 19), (13, 24), (17, 20), (28, 1), (26, 17), (31, 23), (16, 12), (14, 29), (6, 27), (8, 11), (20, 9), (3, 27), (20, 11), (29, 22), (19, 23), (8, 9), (19, 9), (31, 13), (27, 12), (29, 23), (14, 21), (12, 14), (12, 10), (18, 15), (17, 26), (26, 11), (12, 4), (13, 1), (24, 28), (3, 30), (2, 25), (0, 9), (6, 23), (29, 5), (13, 0), (9, 11), (12, 26), (11, 29), (3, 2), (5, 19), (16, 15), (1, 20), (25, 21), (3, 0), (31, 28), (29, 7), (13, 25), (11, 0), (3, 3), (6, 12), (0, 2), (28, 27), (9, 27), (4, 18), (11, 2), (9, 3), (15, 24), (30, 24), (17, 7), (28, 5), (26, 7), (25, 26), (17, 6), (31, 8), (21, 5), (30, 28), (2, 30), (18, 24), (23, 26), (6, 17), (14, 11), (19, 17), (26, 0), (11, 20), (17, 4), (2, 19), (20, 15), (8, 12), (27, 9), (24, 4), (8, 1), (8, 20), (16, 11), (9, 13), (21, 2), (10, 15), (28, 8), (4, 19), (28, 0), (6, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 11), (27, 32), (19, 35), (18, 15), (1, 13), (1, 9), (11, 25), (25, 16), (3, 2), (4, 34), (28, 7), (10, 6), (19, 4), (23, 35), (28, 21), (5, 18), (21, 11), (29, 15), (29, 9), (7, 20), (28, 34), (21, 15), (28, 0), (12, 14), (1, 5), (7, 17), (7, 15), (10, 1), (21, 20), (34, 19), (7, 16), (17, 22), (9, 33), (15, 13), (28, 30), (8, 12), (11, 31), (10, 19), (3, 11), (20, 23), (33, 12), (16, 7), (1, 16), (19, 7), (34, 31), (6, 11), (36, 33), (7, 0), (34, 34), (23, 27), (32, 31), (36, 12), (0, 28), (1, 1), (26, 2), (24, 12), (31, 24), (18, 22), (31, 6), (19, 30), (17, 5), (36, 30), (7, 19), (30, 14), (1, 29), (13, 35), (22, 2), (16, 16), (11, 23), (5, 23), (2, 9), (21, 18), (13, 27), (31, 11), (6, 10), (34, 12), (13, 30), (11, 3), (26, 29), (26, 16), (30, 13), (9, 25), (11, 35), (14, 22), (31, 5), (13, 3), (21, 26), (22, 20), (2, 5), (20, 6), (36, 22), (20, 34), (24, 5), (3, 16), (22, 18), (25, 35), (10, 12), (9, 27), (1, 33), (34, 2), (28, 28), (5, 27), (36, 1), (26, 17), (16, 6), (10, 15), (31, 1), (11, 30), (35, 23), (21, 22), (7, 13), (2, 33), (12, 6), (13, 19), (16, 11), (32, 28), (0, 30), (2, 28), (13, 31), (16, 15), (21, 21), (9, 18), (4, 0), (8, 10), (2, 0), (34, 3), (16, 8), (20, 10), (25, 33), (27, 21), (22, 16), (27, 9), (14, 26), (30, 29), (1, 8), (14, 16), (26, 20), (29, 10), (4, 17), (12, 17), (27, 13), (5, 1), (24, 18), (31, 2), (12, 27), (8, 8), (17, 23), (1, 22), (29, 11), (23, 21), (16, 21), (6, 24), (17, 26), (30, 35), (32, 22), (4, 8), (16, 17), (30, 5), (11, 26), (14, 11), (18, 10), (19, 32), (15, 14), (7, 8), (27, 10), (15, 21), (31, 23), (14, 33), (20, 0), (17, 29), (26, 3), (1, 34), (27, 14), (9, 22), (26, 35), (22, 33), (35, 24), (12, 20), (21, 32), (9, 34), (20, 29), (31, 13), (8, 2), (4, 35), (9, 2), (11, 24), (11, 27), (16, 19), (25, 21), (3, 18), (3, 4), (3, 30), (22, 30), (20, 13), (36, 11), (6, 27), (33, 14), (9, 3), (12, 26), (2, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 26), (10, 12), (10, 5), (12, 13), (2, 14), (21, 4), (5, 20), (26, 29), (6, 15), (20, 17), (17, 13), (20, 27), (8, 8), (13, 7), (4, 16), (13, 11), (21, 1), (19, 29), (17, 26), (9, 4), (19, 15), (30, 25), (24, 7), (5, 26), (5, 29), (29, 8), (16, 0), (16, 6), (11, 0), (30, 6), (3, 18), (2, 9), (12, 3), (22, 1), (4, 22), (29, 1), (16, 5), (16, 1), (15, 9), (6, 20), (7, 8), (15, 26), (3, 0), (3, 22), (12, 0), (12, 25), (24, 13), (8, 27), (5, 12), (17, 12), (28, 25), (8, 6), (0, 12), (22, 28), (2, 30), (13, 15), (17, 6), (15, 10), (4, 8), (6, 0), (0, 6), (26, 28), (17, 18), (13, 29), (30, 16), (15, 11), (10, 19), (9, 6), (5, 16), (16, 25), (8, 11), (18, 9), (24, 30), (1, 0), (16, 11), (15, 29), (28, 11), (23, 12), (10, 23), (27, 25), (20, 21), (4, 7), (13, 20), (11, 14), (7, 23), (20, 1), (29, 15), (24, 10), (24, 11), (21, 24), (8, 20), (24, 19), (12, 18), (8, 14), (4, 2), (7, 19), (26, 16), (22, 4), (10, 2), (14, 19), (4, 23), (20, 7), (29, 0), (13, 4), (7, 12), (29, 11), (7, 24), (15, 22), (2, 20), (29, 20), (30, 22), (7, 26), (11, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 34x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 21), (18, 20), (10, 22), (8, 12), (11, 17), (22, 32), (14, 29), (13, 32), (3, 22), (27, 20), (0, 30), (18, 30), (24, 30), (8, 8), (28, 19), (32, 0), (17, 4), (22, 9), (2, 32), (19, 27), (18, 33), (31, 22), (6, 10), (31, 12), (0, 15), (1, 7), (13, 22), (22, 2), (1, 1), (15, 17), (12, 29), (5, 17), (10, 9), (7, 22), (7, 27), (21, 15), (3, 29), (31, 19), (19, 10), (28, 4), (15, 3), (30, 20), (11, 3), (10, 28), (1, 12), (1, 20), (22, 18), (24, 5), (18, 29), (13, 18), (24, 0), (1, 5), (4, 32), (1, 10), (23, 11), (17, 2), (2, 27), (7, 26), (30, 18), (31, 1), (16, 23), (17, 22), (13, 3), (2, 25), (10, 19), (25, 18), (32, 11), (7, 4), (0, 28), (8, 29), (23, 8), (11, 11), (27, 7), (32, 6), (21, 32), (15, 8), (6, 9), (10, 33), (8, 31), (12, 23), (14, 12), (22, 30), (26, 14), (4, 29), (24, 26), (12, 15), (15, 11), (7, 33), (9, 16), (25, 22), (30, 1), (16, 29), (19, 24), (11, 23), (9, 25), (7, 7), (14, 31), (4, 8), (23, 31), (5, 9), (33, 21), (15, 15), (25, 1), (5, 18), (0, 4), (11, 10), (6, 23), (27, 23), (4, 13), (26, 0), (2, 16), (32, 25), (16, 32), (29, 18), (14, 17), (20, 21), (12, 5), (19, 6), (2, 0), (11, 27), (1, 17), (30, 6), (15, 16), (24, 9), (16, 18), (30, 14), (27, 1), (16, 19), (31, 16), (18, 17), (30, 12), (29, 8), (27, 26), (33, 19), (21, 33), (1, 33), (7, 8), (15, 12), (3, 33), (31, 3), (5, 10), (8, 18), (24, 8), (11, 8), (7, 14), (20, 13), (7, 29), (26, 7), (15, 25), (27, 22), (9, 23), (27, 15), (10, 17), (16, 16), (22, 22), (4, 30), (25, 8), (1, 23), (8, 28), (16, 21), (32, 19), (14, 10), (17, 11), (26, 10), (9, 27), (13, 13), (26, 21), (21, 11), (32, 26), (7, 28), (16, 24), (24, 18), (27, 12), (9, 2), (30, 13), (12, 4), (1, 28), (6, 25), (29, 28), (19, 23), (22, 7), (7, 13), (24, 12), (7, 31), (6, 12), (29, 2), (4, 16), (27, 18), (14, 22), (9, 22), (13, 1), (0, 18), (22, 17), (8, 6), (19, 32), (2, 7), (8, 1), (23, 15), (11, 7), (5, 33), (19, 1), (23, 16), (5, 3), (19, 2), (15, 19), (5, 0), (7, 1), (20, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 38x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (37, 18), (34, 26), (31, 28), (17, 2), (11, 26), (28, 32), (22, 24), (20, 28), (17, 17), (14, 12), (27, 8), (12, 15), (30, 11), (33, 25), (16, 21), (11, 4), (7, 5), (22, 4), (6, 26), (11, 8), (32, 13), (24, 7), (14, 16), (34, 13), (3, 23), (34, 20), (4, 0), (11, 30), (3, 29), (19, 25), (14, 30), (32, 16), (26, 8), (34, 22), (29, 34), (21, 26), (9, 5), (30, 30), (34, 4), (16, 25), (16, 12), (17, 19), (1, 17), (14, 19), (28, 6), (7, 29), (24, 28), (5, 19), (25, 24), (35, 10), (12, 9), (7, 4), (32, 14), (4, 21), (8, 28), (18, 1), (1, 16), (3, 32), (27, 7), (0, 29), (28, 24), (3, 25), (7, 12), (2, 5), (33, 20), (9, 16), (32, 7), (21, 16), (25, 2), (32, 9), (37, 29), (23, 28), (0, 3), (25, 14), (16, 4), (8, 20), (19, 2), (37, 10), (27, 22), (26, 3), (21, 8), (29, 9), (33, 18), (17, 24), (32, 32), (17, 1), (11, 11), (6, 9), (19, 28), (17, 16), (24, 14), (6, 16), (15, 17), (15, 31), (28, 16), (4, 18), (11, 10), (35, 23), (9, 28), (1, 0), (35, 13), (31, 8), (3, 20), (6, 11), (19, 30), (34, 1), (25, 33), (28, 3), (16, 34), (29, 13), (27, 34), (10, 3), (26, 33), (33, 31), (14, 10), (8, 14), (23, 7), (29, 16), (0, 5), (18, 23), (4, 32), (0, 7), (15, 29), (5, 17), (10, 23), (35, 14), (28, 5), (26, 32), (12, 26), (11, 3), (19, 23), (8, 7), (26, 29), (24, 23), (3, 22), (2, 1), (8, 11), (27, 20), (6, 18), (30, 3), (4, 25), (1, 25), (22, 3), (12, 1), (21, 20), (14, 1), (25, 20), (34, 16), (36, 7), (0, 12), (16, 24), (2, 32), (15, 11), (1, 27), (8, 10), (5, 12), (31, 34), (16, 7), (23, 31), (24, 8), (9, 14), (35, 11), (27, 24), (6, 7), (10, 6), (24, 1), (14, 32), (36, 27), (1, 34), (9, 0), (11, 27), (17, 6), (7, 17), (10, 26), (23, 22), (17, 20), (4, 1), (2, 17), (11, 5), (21, 12), (29, 22), (21, 13), (15, 5), (10, 17), (2, 21), (23, 33), (31, 20), (25, 12), (18, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 36), (28, 21), (29, 26), (24, 12), (8, 5), (25, 16), (5, 17), (15, 35), (25, 5), (27, 17), (31, 17), (22, 25), (1, 32), (6, 24), (28, 15), (2, 22), (30, 15), (19, 10), (17, 31), (22, 34), (23, 26), (19, 28), (11, 6), (29, 32), (24, 23), (25, 15), (20, 21), (33, 35), (8, 19), (8, 21), (0, 24), (29, 28), (21, 33), (28, 19), (33, 19), (9, 11), (28, 1), (7, 25), (8, 24), (8, 17), (25, 10), (2, 23), (17, 33), (28, 11), (0, 12), (28, 5), (27, 30), (18, 8), (17, 26), (21, 13), (29, 35), (1, 27), (29, 8), (21, 17), (15, 24), (13, 9), (19, 1), (29, 18), (32, 32), (9, 1), (30, 25), (24, 11), (20, 24), (21, 30), (20, 36), (28, 8), (32, 29), (18, 14), (27, 3), (27, 6), (7, 34), (11, 14), (9, 29), (16, 35), (16, 17), (1, 17), (31, 20), (23, 30), (28, 36), (26, 19), (9, 30), (30, 2), (17, 34), (32, 10), (22, 2), (9, 2), (16, 15), (15, 29), (31, 26), (22, 7), (2, 6), (31, 11), (2, 24), (5, 20), (24, 35), (28, 23), (12, 23), (17, 1), (29, 22), (16, 34), (19, 34), (7, 30), (17, 22), (34, 26), (15, 19), (20, 12), (11, 3), (7, 11), (26, 35), (16, 0), (3, 16), (9, 17), (4, 32), (13, 2), (7, 23), (19, 4), (22, 32), (3, 25), (10, 4), (20, 22), (5, 33), (5, 14), (18, 27), (26, 36), (9, 21), (12, 33), (21, 34), (19, 8), (6, 2), (23, 20), (2, 29), (24, 8), (26, 23), (28, 7), (26, 20), (32, 2), (22, 17), (16, 25), (3, 20), (1, 6), (19, 30), (6, 26), (5, 3), (11, 18), (1, 7), (13, 31), (18, 20), (4, 25), (30, 20), (22, 35), (31, 33), (16, 10), (5, 26), (34, 32), (21, 2), (12, 24), (7, 0), (20, 8), (2, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 33), (29, 23), (14, 3), (7, 2), (28, 25), (9, 15), (24, 4), (21, 23), (22, 19), (23, 1), (28, 22), (11, 23), (3, 25), (2, 16), (23, 25), (25, 14), (19, 7), (27, 22), (23, 15), (23, 2), (6, 7), (19, 15), (18, 9), (15, 22), (7, 13), (7, 17), (29, 32), (5, 2), (2, 6), (4, 18), (28, 11), (15, 25), (13, 19), (18, 12), (2, 18), (17, 18), (20, 12), (15, 14), (28, 20), (25, 33), (2, 9), (16, 33), (6, 11), (3, 14), (2, 25), (12, 6), (15, 16), (8, 8), (20, 29), (11, 8), (19, 2), (1, 27), (21, 9), (26, 36), (29, 27), (1, 17), (26, 31), (6, 31), (15, 33), (14, 17), (9, 29), (21, 37), (14, 11), (29, 22), (4, 6), (5, 4), (9, 18), (9, 5), (6, 9), (27, 29), (8, 0), (11, 22), (6, 22), (21, 12), (26, 20), (13, 12), (1, 11), (17, 4), (19, 9), (22, 6), (12, 31), (8, 31), (1, 15), (8, 21), (1, 35), (7, 36), (20, 34), (22, 23), (0, 16), (3, 16), (14, 10), (2, 36), (8, 6), (3, 22), (6, 36), (18, 8), (24, 36), (28, 2), (22, 10), (13, 24), (10, 36), (7, 20), (14, 14), (2, 13), (0, 38), (1, 4), (14, 37), (22, 29), (14, 0), (10, 17), (3, 23), (3, 28), (13, 29), (21, 19), (2, 33), (20, 9), (24, 33), (20, 35), (19, 10), (0, 24), (29, 21), (18, 37), (1, 9), (15, 37), (6, 20), (5, 1), (28, 32), (1, 38), (22, 16), (23, 20), (0, 3), (15, 9), (0, 10), (0, 8), (25, 10), (5, 36), (6, 35), (23, 14), (2, 12), (27, 7), (16, 28), (8, 26), (1, 2), (26, 14), (18, 1), (18, 22), (0, 26), (28, 3), (23, 27), (29, 36), (7, 33), (29, 16), (26, 13), (11, 28), (23, 10), (3, 33), (8, 38), (10, 31), (26, 0), (24, 24), (5, 33), (14, 9), (8, 18), (12, 29), (10, 27), (4, 17), (7, 16), (8, 33), (21, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 18), (5, 2), (17, 17), (25, 0), (15, 22), (7, 25), (35, 28), (22, 4), (4, 28), (5, 19), (26, 24), (11, 22), (31, 4), (26, 23), (12, 10), (24, 14), (22, 24), (2, 4), (32, 17), (36, 18), (5, 6), (34, 29), (35, 27), (21, 24), (26, 3), (33, 18), (22, 13), (6, 25), (1, 1), (30, 28), (17, 25), (10, 26), (37, 26), (2, 9), (12, 19), (38, 5), (18, 9), (6, 11), (4, 5), (17, 16), (22, 23), (7, 13), (15, 1), (25, 3), (27, 18), (23, 25), (26, 4), (21, 25), (38, 22), (21, 1), (35, 15), (2, 29), (9, 7), (16, 14), (15, 13), (10, 22), (8, 6), (15, 19), (19, 15), (24, 0), (22, 10), (2, 3), (16, 0), (23, 1), (26, 13), (34, 10), (16, 11), (25, 4), (25, 12), (37, 13), (29, 24), (9, 24), (35, 21), (17, 22), (7, 26), (36, 15), (14, 13), (17, 7), (35, 9), (17, 9), (0, 14), (33, 7), (25, 7), (0, 7), (1, 23), (36, 17), (21, 26), (10, 1), (0, 21), (37, 3), (32, 5), (17, 5), (20, 21), (9, 23), (33, 10), (29, 9), (32, 10), (8, 7), (6, 18), (36, 11), (21, 12), (10, 10), (17, 3), (9, 26), (34, 4), (23, 13), (34, 26), (21, 6), (27, 13), (10, 25), (33, 22), (13, 19), (8, 25), (11, 15), (0, 18), (22, 17), (7, 24), (26, 0), (13, 7), (32, 18), (25, 21), (26, 27), (7, 9), (18, 27), (10, 24), (3, 0), (4, 18), (31, 22), (18, 12), (19, 19), (27, 11), (7, 14), (20, 24), (37, 16), (15, 4), (33, 11), (2, 26), (38, 12), (9, 5), (25, 28), (14, 6), (31, 26), (24, 10), (14, 29), (30, 15), (2, 28), (30, 1), (22, 14), (26, 5), (20, 3), (38, 1), (20, 14), (25, 8), (17, 28), (37, 12), (32, 2), (12, 8), (31, 20), (28, 29), (32, 7), (3, 23), (6, 20), (9, 25), (12, 12), (35, 4), (27, 2), (8, 29), (12, 13), (27, 8), (30, 3), (24, 21), (25, 1), (24, 11), (17, 2), (36, 4), (7, 0), (22, 28), (24, 25), (31, 19), (1, 0), (15, 28), (24, 16), (33, 29), (27, 22), (33, 9), (23, 26), (36, 23), (33, 23), (29, 11), (1, 4), (26, 28), (31, 17), (18, 17), (14, 14), (1, 16), (5, 12), (21, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 34x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 30), (32, 17), (7, 23), (8, 21), (7, 2), (2, 11), (0, 12), (12, 13), (18, 4), (9, 9), (16, 22), (28, 6), (19, 26), (27, 32), (21, 12), (20, 24), (8, 12), (0, 13), (8, 14), (13, 20), (5, 14), (15, 7), (29, 24), (7, 17), (1, 11), (7, 10), (2, 0), (21, 28), (21, 1), (10, 0), (5, 4), (24, 32), (23, 32), (14, 5), (24, 5), (12, 9), (30, 17), (0, 27), (13, 33), (11, 12), (30, 32), (6, 31), (26, 2), (11, 8), (10, 9), (17, 26), (29, 18), (26, 27), (24, 13), (14, 0), (29, 20), (16, 31), (28, 13), (5, 22), (27, 16), (3, 21), (7, 6), (1, 7), (16, 8), (23, 2), (29, 1), (12, 28), (14, 22), (24, 16), (22, 33), (31, 18), (25, 23), (20, 30), (13, 14), (31, 26), (7, 4), (10, 29), (28, 23), (12, 33), (25, 13), (12, 27), (15, 10), (15, 4), (24, 12), (31, 2), (28, 12), (6, 9), (18, 28), (6, 8), (2, 33), (0, 28), (17, 21), (21, 29), (31, 29), (33, 7), (13, 4), (22, 1), (29, 21), (26, 5), (19, 32), (14, 3), (14, 33), (6, 17), (4, 31), (20, 17), (10, 30), (29, 16), (9, 30), (27, 25), (14, 25), (11, 11), (29, 10), (0, 16), (24, 31), (20, 11), (11, 17), (1, 23), (25, 5), (33, 10), (8, 1), (12, 31), (19, 27), (17, 23), (7, 7), (3, 29), (15, 3), (14, 18), (24, 22), (13, 19), (12, 30), (0, 22), (1, 30), (13, 6), (32, 5), (10, 33), (10, 27), (13, 0), (16, 33), (7, 20), (29, 26), (33, 4), (13, 31), (26, 31), (31, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 34x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 2), (22, 28), (10, 18), (25, 3), (17, 15), (31, 3), (7, 31), (26, 33), (12, 0), (26, 9), (13, 3), (20, 27), (17, 32), (27, 18), (15, 28), (22, 12), (27, 28), (5, 32), (5, 13), (21, 34), (0, 5), (29, 24), (18, 21), (17, 12), (14, 6), (7, 33), (1, 13), (7, 11), (6, 30), (18, 3), (33, 1), (25, 30), (25, 33), (21, 7), (6, 29), (24, 34), (3, 10), (21, 17), (21, 2), (5, 31), (3, 32), (26, 29), (6, 34), (19, 8), (13, 5), (7, 14), (8, 25), (28, 26), (23, 3), (0, 34), (17, 8), (1, 17), (33, 16), (19, 13), (24, 4), (6, 31), (20, 4), (17, 23), (16, 2), (12, 34), (21, 28), (4, 3), (24, 31), (31, 11), (16, 18), (18, 8), (24, 15), (27, 0), (9, 5), (28, 33), (33, 31), (24, 35), (31, 29), (9, 19), (2, 34), (24, 27), (32, 34), (31, 17), (26, 1), (33, 17), (15, 0), (10, 34), (0, 17), (11, 21), (1, 10), (18, 22), (6, 14), (25, 8), (2, 23), (20, 33), (16, 28), (10, 12), (11, 16), (5, 19), (1, 18), (32, 3), (9, 30), (5, 2), (27, 17), (17, 31), (31, 16), (12, 21), (18, 13), (2, 20), (16, 21), (3, 8), (32, 13), (29, 25), (19, 3), (0, 2), (18, 28), (5, 34), (25, 14), (5, 10), (20, 6), (23, 28), (11, 17), (23, 33), (7, 4), (1, 5), (26, 15), (9, 20), (31, 22), (11, 10), (16, 22), (16, 1), (30, 10), (21, 10), (27, 2), (33, 18), (31, 1), (12, 16), (10, 25), (2, 17), (24, 20), (15, 29), (3, 14), (27, 30), (15, 34), (29, 22), (28, 29), (19, 12), (26, 27), (32, 23), (31, 10), (26, 4), (22, 30), (9, 29), (30, 5), (25, 22), (25, 17), (8, 5), (29, 30), (11, 20), (33, 32), (17, 24), (21, 35), (15, 35), (14, 28), (13, 11), (2, 19), (4, 24), (4, 15), (25, 32), (29, 33), (8, 22), (2, 2), (27, 12), (18, 30), (5, 21), (11, 22), (12, 6), (1, 27), (1, 1), (6, 1), (13, 22), (23, 7), (13, 10), (30, 24), (30, 35), (23, 19), (10, 30), (21, 3), (9, 13), (31, 25), (32, 9), (24, 6), (10, 22), (27, 1), (28, 16), (22, 18), (28, 21), (8, 31), (14, 19), (31, 13), (4, 29), (32, 0), (19, 17), (7, 32), (21, 29), (0, 4), (31, 7), (25, 7), (10, 17), (7, 22), (16, 12), (16, 4), (23, 16), (20, 1), (17, 4), (2, 13), (4, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 30x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 29), (0, 15), (23, 1), (17, 21), (23, 13), (25, 25), (11, 7), (6, 12), (25, 28), (2, 24), (17, 26), (21, 15), (18, 26), (9, 17), (23, 14), (17, 3), (3, 19), (1, 26), (18, 17), (28, 6), (24, 28), (13, 28), (9, 29), (27, 21), (26, 1), (6, 6), (20, 6), (3, 27), (15, 2), (17, 5), (14, 12), (20, 4), (29, 26), (8, 7), (9, 7), (18, 8), (7, 4), (4, 24), (13, 18), (12, 4), (21, 6), (8, 29), (18, 21), (25, 5), (20, 16), (27, 12), (7, 1), (22, 13), (22, 3), (1, 27), (10, 8), (5, 25), (5, 13), (24, 10), (10, 13), (0, 8), (6, 23), (6, 27), (23, 25), (23, 28), (7, 2), (4, 27), (28, 7), (11, 17), (22, 21), (17, 13), (12, 10), (19, 8), (23, 7), (2, 13), (5, 22), (3, 26), (4, 22), (24, 7), (19, 25), (13, 3), (12, 1), (26, 0), (26, 5), (21, 22), (17, 17), (26, 21), (27, 2), (22, 7), (3, 23), (20, 11), (3, 7), (16, 18), (25, 27), (14, 16), (14, 3), (6, 8), (21, 0), (10, 28), (14, 21), (16, 24), (19, 3), (11, 3), (16, 22), (11, 21), (8, 0), (5, 20), (17, 14), (25, 19), (8, 16), (2, 6), (3, 29), (29, 11), (10, 1), (1, 9), (10, 3), (15, 23), (11, 12), (0, 20), (21, 18), (1, 0), (20, 18), (21, 9), (7, 25), (7, 7), (11, 9), (23, 2), (29, 15), (9, 1), (15, 27), (8, 23), (7, 5), (1, 22), (14, 17), (27, 14), (10, 22), (9, 2), (24, 17), (27, 17), (16, 20), (15, 22), (0, 2), (5, 2), (21, 4), (17, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 33), (37, 8), (17, 32), (25, 30), (34, 14), (29, 3), (25, 14), (21, 33), (17, 31), (4, 36), (29, 13), (9, 0), (14, 31), (8, 33), (25, 21), (5, 8), (7, 5), (15, 4), (37, 35), (22, 15), (21, 4), (8, 4), (11, 30), (29, 15), (8, 36), (15, 18), (3, 22), (16, 32), (26, 31), (14, 21), (4, 24), (3, 35), (30, 36), (29, 21), (5, 24), (35, 21), (27, 16), (16, 25), (22, 33), (30, 14), (18, 26), (22, 25), (21, 6), (21, 19), (35, 11), (28, 9), (13, 20), (23, 23), (27, 30), (1, 0), (32, 35), (24, 20), (5, 27), (21, 28), (11, 27), (2, 22), (9, 32), (26, 17), (1, 14), (10, 35), (34, 29), (2, 17), (13, 26), (22, 28), (21, 5), (11, 20), (12, 16), (18, 6), (8, 12), (7, 20), (32, 36), (33, 9), (0, 16), (19, 13), (9, 12), (26, 14), (15, 25), (19, 8), (28, 2), (2, 26), (24, 27), (28, 10), (34, 7), (11, 36), (14, 13), (33, 4), (31, 12), (29, 1), (19, 12), (21, 36), (33, 27), (12, 36), (19, 27), (13, 32), (20, 33), (6, 20), (24, 6), (23, 14), (35, 13), (19, 19), (28, 8), (37, 2), (1, 20), (26, 26), (23, 4), (18, 28), (7, 21), (17, 26), (35, 26), (25, 26), (16, 33), (33, 3), (27, 9), (26, 19), (20, 27), (9, 25), (33, 20), (11, 22), (20, 17), (2, 18), (18, 13), (21, 17), (2, 2), (2, 32), (4, 19), (10, 12), (6, 29), (26, 11), (6, 32), (18, 3), (2, 6), (21, 16), (29, 34), (32, 28), (18, 4), (8, 19), (21, 18), (21, 30), (9, 29), (26, 30), (9, 11), (5, 6), (24, 19), (32, 34), (7, 1), (15, 9), (36, 30), (21, 7), (1, 6), (6, 11), (12, 12), (19, 15), (16, 1), (32, 4), (24, 18), (8, 13), (26, 23), (18, 20), (10, 30), (16, 26), (33, 23), (36, 4), (30, 5), (34, 13), (32, 14), (32, 5), (28, 12), (6, 18), (10, 22), (21, 26), (26, 33), (28, 3), (24, 28), (13, 16), (14, 18), (5, 22), (3, 9), (11, 7), (30, 10), (33, 34), (2, 5), (18, 22), (35, 3), (36, 22), (30, 28), (1, 5), (35, 7), (18, 11), (0, 15), (2, 27), (8, 10), (26, 7), (17, 11), (27, 34), (24, 26), (34, 10), (21, 10), (15, 16), (11, 6), (6, 12), (33, 32), (3, 20), (17, 12), (22, 22), (30, 23), (25, 3), (21, 32), (10, 9), (24, 5), (37, 4), (7, 4), (10, 13), (11, 18), (31, 15), (23, 9), (14, 2), (25, 25), (10, 27), (19, 25), (10, 5), (32, 23), (28, 23), (36, 8), (32, 1), (26, 29), (3, 5), (25, 11), (25, 36), (20, 1), (18, 2), (1, 30), (13, 1), (9, 23), (18, 0), (17, 6), (31, 11), (13, 27), (12, 15), (32, 32), (26, 21), (14, 25), (2, 11), (6, 35), (9, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 13), (18, 16), (19, 27), (6, 29), (22, 21), (13, 26), (19, 14), (28, 7), (2, 5), (18, 10), (19, 19), (20, 18), (30, 8), (10, 18), (19, 32), (14, 32), (2, 1), (26, 20), (24, 3), (9, 30), (29, 22), (11, 4), (0, 33), (14, 1), (1, 24), (25, 5), (31, 26), (23, 28), (4, 32), (21, 29), (19, 6), (4, 7), (18, 25), (16, 5), (28, 3), (25, 32), (5, 19), (20, 26), (8, 20), (7, 14), (30, 15), (4, 8), (22, 15), (31, 22), (21, 4), (11, 18), (4, 3), (5, 11), (15, 23), (9, 16), (19, 26), (6, 6), (7, 7), (10, 33), (1, 18), (27, 21), (17, 33), (18, 19), (15, 32), (3, 10), (18, 5), (4, 6), (12, 10), (24, 5), (1, 5), (1, 25), (21, 12), (12, 1), (3, 14), (3, 17), (7, 17), (11, 8), (2, 18), (7, 30), (1, 7), (22, 25), (15, 26), (20, 1), (6, 13), (10, 3), (0, 31), (30, 2), (12, 28), (18, 32), (2, 10), (3, 9), (22, 31), (25, 14), (12, 0), (31, 10), (13, 25), (6, 26), (1, 21), (2, 4), (23, 33), (13, 16), (15, 24), (13, 10), (25, 21), (7, 4), (2, 2), (6, 22), (25, 33), (15, 5), (1, 2), (15, 28), (14, 9), (18, 8), (19, 33), (14, 16), (14, 25), (23, 29), (15, 10), (2, 33), (29, 18), (19, 18), (1, 28), (29, 6), (2, 7), (10, 26), (11, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 11), (2, 5), (21, 21), (3, 13), (4, 8), (19, 3), (20, 22), (26, 5), (28, 3), (20, 6), (34, 0), (30, 0), (35, 2), (27, 6), (4, 0), (13, 28), (17, 16), (0, 8), (5, 13), (19, 0), (11, 4), (18, 27), (2, 13), (1, 0), (32, 9), (21, 14), (14, 16), (23, 2), (3, 25), (15, 1), (4, 5), (22, 2), (9, 22), (16, 0), (2, 9), (12, 27), (26, 28), (16, 24), (7, 0), (33, 12), (18, 15), (29, 26), (3, 26), (27, 3), (11, 0), (12, 0), (20, 11), (21, 6), (4, 25), (3, 23), (19, 16), (28, 7), (6, 3), (3, 7), (7, 3), (10, 28), (12, 22), (4, 16), (22, 19), (17, 24), (9, 10), (18, 2), (12, 10), (3, 16), (12, 8), (10, 17), (19, 22), (34, 14), (33, 3), (25, 15), (29, 5), (10, 6), (31, 0), (17, 1), (21, 2), (20, 7), (31, 7), (20, 23), (13, 14), (10, 27), (27, 14), (24, 16), (14, 6), (6, 22), (19, 4), (13, 9), (16, 4), (9, 6), (29, 23), (21, 28), (26, 12), (10, 29), (29, 12), (15, 22), (6, 21), (25, 5), (17, 4), (28, 21), (5, 2), (15, 12), (11, 3), (32, 1), (3, 11), (16, 5), (34, 28), (32, 0), (25, 29), (3, 3), (23, 23), (0, 19), (35, 23), (35, 7), (11, 20), (34, 3), (10, 21), (18, 3), (22, 15), (18, 6), (0, 24), (28, 14), (5, 6), (16, 22), (9, 9), (9, 3), (8, 20), (32, 2), (18, 1), (10, 11), (16, 29), (31, 14), (9, 21), (34, 16), (27, 18), (22, 7), (13, 26), (18, 20), (25, 4), (21, 25), (2, 26), (21, 4), (1, 1), (21, 1), (32, 15), (14, 25), (35, 21), (22, 11), (19, 20), (1, 22), (9, 19), (27, 25), (4, 24), (18, 21), (14, 28), (2, 17), (1, 13), (33, 13), (29, 2), (15, 14), (26, 0), (15, 23), (15, 26), (9, 14), (2, 19), (23, 22), (7, 4), (33, 6), (4, 27), (18, 9), (33, 26), (19, 9), (1, 7), (6, 24), (23, 3), (8, 6), (25, 22), (28, 15), (26, 7), (29, 24), (2, 2), (15, 8), (1, 25), (21, 7), (14, 20), (16, 25), (28, 24), (8, 8), (16, 28), (2, 28), (25, 17), (27, 22), (15, 24), (25, 13), (7, 23), (31, 16), (16, 23), (22, 5), (11, 13), (9, 4), (26, 26), (8, 13), (30, 13), (24, 10), (13, 6), (15, 9), (5, 25), (7, 22), (34, 29), (17, 15), (5, 19), (9, 16), (6, 1), (11, 19), (25, 26), (10, 2), (2, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 22), (35, 13), (24, 4), (15, 10), (26, 6), (4, 17), (23, 18), (4, 25), (4, 24), (16, 19), (34, 6), (2, 3), (14, 13), (36, 16), (32, 8), (33, 16), (34, 9), (6, 5), (25, 17), (34, 2), (4, 7), (34, 5), (5, 28), (15, 7), (19, 10), (10, 8), (9, 3), (2, 5), (22, 22), (1, 12), (5, 24), (27, 8), (3, 0), (35, 29), (14, 26), (17, 6), (28, 7), (35, 16), (27, 23), (31, 25), (12, 17), (3, 23), (10, 26), (14, 7), (11, 11), (35, 5), (35, 4), (14, 22), (31, 16), (12, 11), (11, 25), (3, 17), (25, 10), (25, 11), (32, 10), (24, 2), (25, 9), (36, 11), (21, 15), (18, 2), (25, 18), (8, 17), (13, 4), (2, 24), (7, 6), (5, 3), (34, 7), (29, 9), (16, 4), (29, 7), (34, 24), (21, 3), (21, 24), (14, 12), (35, 26), (13, 13), (25, 4), (8, 16), (6, 15), (31, 4), (7, 17), (22, 28), (13, 5), (17, 7), (0, 21), (16, 7), (21, 1), (13, 8), (22, 12), (1, 14), (9, 4), (32, 3), (14, 21), (17, 5), (22, 1), (4, 1), (33, 10), (34, 18), (1, 11), (29, 15), (27, 18), (14, 11), (0, 26), (27, 28), (4, 27), (28, 4), (2, 28), (15, 9), (19, 0), (22, 6), (23, 25), (11, 19), (0, 7), (9, 26), (36, 5), (15, 24), (9, 12), (35, 2), (8, 15), (14, 2), (8, 24), (13, 16), (26, 5), (10, 5), (5, 0), (26, 15), (23, 6), (2, 18), (23, 9), (1, 8), (22, 17), (24, 25), (30, 26), (21, 13), (7, 24), (33, 26), (25, 1), (4, 4), (21, 11), (28, 19), (0, 15), (6, 0), (26, 19), (17, 24), (35, 10), (9, 6), (2, 16), (35, 18), (29, 25), (14, 25), (5, 16), (1, 28), (34, 4), (14, 14), (23, 24), (23, 26), (28, 13), (2, 27), (3, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 26), (24, 28), (23, 0), (27, 17), (12, 28), (35, 24), (24, 11), (8, 12), (15, 23), (23, 12), (4, 17), (21, 6), (23, 25), (3, 8), (8, 25), (4, 27), (11, 25), (26, 13), (16, 26), (2, 12), (5, 23), (21, 16), (19, 10), (32, 23), (4, 5), (10, 14), (28, 27), (35, 5), (32, 11), (18, 27), (10, 29), (7, 4), (27, 31), (14, 3), (18, 28), (20, 14), (28, 9), (29, 13), (34, 24), (12, 8), (25, 2), (7, 21), (20, 28), (1, 25), (8, 20), (6, 31), (22, 19), (6, 9), (9, 5), (3, 27), (22, 8), (29, 19), (30, 17), (20, 29), (10, 18), (19, 25), (34, 30), (11, 22), (21, 23), (5, 28), (13, 22), (8, 31), (14, 16), (17, 10), (15, 18), (3, 11), (20, 18), (27, 25), (13, 11), (35, 13), (8, 21), (15, 31), (4, 15), (33, 16), (7, 3), (32, 29), (15, 30), (15, 12), (31, 31), (26, 8), (33, 19), (1, 22), (16, 21), (7, 20), (28, 0), (17, 11), (19, 27), (0, 10), (8, 24), (33, 2), (12, 25), (16, 6), (19, 14), (27, 16), (17, 30), (1, 13), (5, 10), (15, 9), (1, 7), (31, 17), (14, 25), (5, 3), (0, 16), (9, 6), (4, 19), (21, 21), (24, 9), (32, 4), (9, 31), (15, 1), (3, 6), (17, 9), (18, 24), (31, 26), (8, 23), (10, 26), (0, 13), (23, 21), (9, 3), (1, 14), (23, 29), (23, 30), (18, 26), (27, 30), (9, 28), (25, 30), (5, 12), (13, 21), (25, 15), (1, 11), (33, 26), (21, 0), (28, 23), (14, 5), (30, 15), (1, 24), (8, 19), (35, 8), (12, 19), (2, 13), (11, 26), (5, 22), (4, 16), (34, 21), (29, 24), (9, 13), (20, 21), (11, 6), (27, 0), (32, 10), (30, 12), (7, 12), (18, 29), (15, 3), (9, 16), (0, 20), (16, 11), (29, 14), (7, 24), (3, 20), (9, 18), (19, 29), (7, 18), (31, 8), (32, 20), (0, 28), (26, 21), (21, 24), (32, 24), (33, 28), (13, 20), (32, 19), (3, 3), (35, 25), (18, 14), (1, 9), (23, 13), (18, 15), (9, 26), (5, 21), (7, 5), (1, 16), (12, 30), (11, 18), (7, 7), (28, 30), (5, 2), (2, 15), (35, 14), (13, 5), (32, 16), (16, 22), (24, 2), (32, 28), (0, 26), (35, 9), (10, 19), (12, 7), (35, 12), (12, 1), (13, 30), (31, 22), (3, 10), (22, 23), (18, 25), (1, 23), (9, 10), (18, 13), (7, 29), (11, 8), (26, 18), (30, 3), (26, 23), (32, 14), (19, 26), (15, 21), (11, 11), (5, 7), (4, 6), (14, 19), (14, 18), (5, 25), (10, 24), (30, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 13), (28, 17), (11, 17), (25, 4), (17, 1), (6, 18), (17, 18), (16, 8), (15, 19), (8, 6), (12, 2), (4, 2), (4, 11), (31, 15), (7, 13), (7, 15), (29, 28), (18, 2), (8, 0), (7, 25), (2, 2), (30, 14), (20, 25), (31, 3), (21, 7), (26, 19), (22, 23), (19, 0), (30, 21), (18, 16), (13, 10), (2, 26), (19, 13), (16, 30), (7, 24), (17, 0), (4, 5), (14, 6), (16, 5), (12, 9), (8, 24), (15, 1), (9, 9), (8, 11), (28, 29), (1, 14), (14, 22), (15, 4), (17, 11), (17, 6), (2, 11), (29, 3), (18, 3), (13, 27), (29, 24), (4, 6), (8, 12), (25, 15), (17, 7), (8, 28), (5, 9), (9, 0), (7, 19), (20, 7), (8, 21), (8, 23), (30, 15), (26, 29), (4, 15), (1, 10), (28, 20), (27, 21), (19, 10), (27, 5), (4, 20), (2, 4), (11, 13), (0, 16), (16, 7), (17, 10), (6, 17), (31, 16), (11, 10), (29, 30), (10, 0), (24, 16), (11, 28), (22, 1), (13, 1), (19, 9), (24, 12), (14, 2), (8, 13), (27, 15), (9, 27), (5, 8), (4, 26), (9, 13), (8, 7), (9, 21), (9, 3), (11, 6), (6, 23), (22, 26), (4, 29), (1, 3), (28, 28), (22, 14), (10, 2), (30, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 9), (29, 1), (29, 13), (7, 31), (5, 19), (19, 19), (16, 21), (25, 29), (17, 14), (25, 15), (17, 15), (19, 10), (18, 32), (27, 28), (32, 4), (5, 26), (5, 31), (14, 2), (12, 34), (6, 22), (4, 21), (14, 34), (5, 13), (18, 7), (12, 28), (33, 5), (29, 31), (10, 9), (8, 13), (11, 7), (25, 10), (19, 28), (29, 17), (33, 17), (28, 31), (33, 23), (23, 20), (25, 4), (8, 8), (30, 22), (6, 7), (28, 10), (8, 0), (3, 8), (11, 22), (9, 21), (13, 4), (17, 24), (20, 16), (37, 6), (22, 30), (23, 17), (25, 24), (17, 19), (14, 11), (24, 23), (31, 13), (23, 22), (36, 25), (35, 19), (2, 35), (19, 33), (9, 27), (37, 30), (17, 10), (30, 4), (18, 15), (21, 30), (21, 10), (22, 35), (8, 19), (1, 6), (1, 12), (13, 29), (35, 9), (13, 14), (6, 34), (12, 26), (5, 6), (32, 2), (13, 0), (34, 16), (32, 17), (19, 23), (3, 18), (29, 32), (4, 14), (33, 0), (26, 5), (11, 34), (32, 23), (36, 26), (2, 27), (1, 22), (1, 17), (32, 16), (20, 7), (1, 26), (2, 14), (11, 9), (7, 9), (2, 32), (19, 7), (34, 32), (13, 21), (22, 32), (28, 13), (16, 22), (30, 2), (23, 2), (15, 21), (2, 19), (34, 19), (28, 25), (24, 13), (30, 24), (16, 9), (35, 32), (37, 28), (32, 30), (34, 8), (21, 12), (10, 19), (37, 17), (34, 5), (2, 12), (34, 18), (28, 18), (36, 27), (11, 19), (1, 29), (0, 19), (10, 14), (33, 12), (3, 24), (28, 8), (20, 8), (20, 31), (7, 13), (0, 15), (11, 10), (28, 32), (30, 19), (30, 13), (36, 24), (14, 7), (3, 14), (8, 20), (8, 26), (33, 31), (12, 21), (29, 34), (20, 26), (1, 35), (3, 6), (16, 5), (15, 2), (11, 1), (25, 34), (29, 23), (21, 7), (26, 30), (6, 32), (11, 16), (21, 19), (30, 28), (34, 28), (2, 4), (37, 15), (8, 32), (28, 23), (29, 20), (19, 20), (30, 29), (2, 6), (21, 22), (2, 5), (6, 30), (25, 17), (24, 2), (2, 22), (31, 14), (29, 16), (33, 13), (0, 18), (24, 28), (31, 34), (34, 6), (34, 11), (0, 4), (19, 11), (5, 21), (7, 2), (15, 3), (20, 30), (5, 10), (16, 33), (31, 25), (4, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 5), (35, 22), (0, 33), (3, 27), (36, 29), (6, 11), (14, 24), (5, 34), (10, 7), (37, 17), (29, 23), (11, 20), (21, 10), (14, 13), (26, 20), (34, 10), (16, 17), (0, 14), (8, 4), (34, 29), (5, 10), (1, 33), (4, 10), (20, 21), (33, 32), (35, 15), (21, 11), (33, 9), (24, 9), (29, 16), (8, 33), (15, 3), (33, 1), (0, 13), (9, 11), (16, 0), (3, 22), (27, 13), (19, 19), (36, 2), (3, 6), (18, 12), (2, 23), (6, 28), (34, 9), (0, 31), (36, 5), (33, 2), (31, 19), (21, 25), (9, 0), (37, 9), (25, 26), (34, 32), (2, 34), (19, 27), (27, 10), (33, 34), (29, 18), (8, 9), (0, 1), (13, 11), (19, 2), (20, 5), (20, 4), (8, 28), (16, 13), (15, 29), (14, 23), (10, 23), (5, 20), (10, 4), (22, 11), (19, 28), (32, 17), (2, 18), (8, 2), (34, 2), (36, 30), (8, 31), (12, 0), (10, 9), (19, 25), (5, 19), (25, 31), (33, 10), (1, 31), (33, 18), (25, 14), (37, 11), (29, 10), (28, 10), (35, 34), (7, 2), (19, 32), (30, 15), (27, 7), (5, 32), (37, 27), (26, 7), (1, 29), (33, 13), (6, 22), (31, 11), (25, 18), (0, 11), (25, 12), (18, 26), (18, 16), (17, 26), (32, 0), (18, 0), (27, 27), (0, 25), (34, 6), (7, 16), (9, 23), (17, 11), (15, 34), (29, 28), (21, 0), (34, 21), (7, 15), (19, 16), (13, 34), (29, 21), (23, 4), (2, 30), (29, 22), (2, 16), (9, 25), (32, 13), (14, 3), (8, 30), (1, 7), (31, 10), (33, 12), (5, 21), (23, 16), (8, 17), (36, 25), (33, 4), (14, 28), (8, 20), (19, 12), (14, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 28), (25, 12), (29, 34), (3, 12), (2, 25), (8, 2), (22, 28), (6, 3), (22, 13), (27, 16), (1, 24), (19, 25), (20, 1), (29, 32), (24, 23), (31, 21), (17, 35), (7, 23), (21, 36), (12, 36), (10, 19), (1, 30), (32, 9), (24, 19), (8, 34), (17, 34), (9, 12), (15, 35), (6, 21), (27, 19), (4, 32), (16, 33), (14, 2), (11, 36), (6, 23), (11, 30), (5, 29), (24, 34), (5, 15), (0, 7), (32, 11), (2, 13), (28, 15), (5, 36), (16, 0), (8, 31), (16, 3), (3, 13), (12, 37), (1, 33), (5, 7), (6, 33), (7, 26), (22, 35), (16, 37), (8, 10), (7, 37), (19, 36), (15, 26), (22, 22), (29, 36), (27, 20), (14, 30), (13, 16), (30, 21), (26, 35), (8, 17), (12, 23), (24, 0), (19, 8), (10, 32), (10, 27), (6, 15), (19, 34), (15, 25), (23, 13), (2, 23), (10, 1), (24, 29), (18, 6), (6, 30), (2, 36), (14, 17), (29, 23), (29, 25), (21, 17), (13, 3), (5, 8), (32, 19), (19, 9), (30, 3), (4, 7), (17, 1), (4, 6), (17, 2), (2, 20), (31, 2), (19, 32), (13, 1), (6, 0), (12, 28), (5, 9), (11, 16), (19, 14), (31, 10), (11, 20), (14, 29), (25, 32), (31, 13), (31, 0), (25, 0), (9, 20), (15, 36), (14, 32), (5, 3), (24, 18), (28, 22), (16, 11), (16, 7), (31, 8), (13, 7), (19, 15), (12, 0), (5, 6), (1, 28), (26, 5), (18, 18), (31, 20), (24, 5), (29, 8), (1, 14), (32, 3), (32, 15), (21, 19), (12, 9), (20, 11), (9, 17), (1, 34), (26, 20), (12, 8), (5, 4), (3, 20), (11, 10), (12, 22), (30, 27), (32, 34), (12, 11), (11, 33), (13, 22), (1, 2), (26, 23), (27, 15), (26, 2), (24, 35), (28, 16), (4, 16), (15, 34), (8, 0), (8, 5), (26, 6), (0, 36), (4, 29), (8, 29), (5, 21), (23, 21), (3, 21), (31, 1), (1, 11), (24, 38), (31, 14), (9, 9), (24, 11), (0, 8), (24, 37), (10, 15), (23, 34), (27, 25), (0, 26), (30, 30), (20, 27), (13, 24), (29, 3), (22, 5), (14, 36), (31, 37), (28, 30), (19, 18), (30, 7), (31, 28), (6, 19), (28, 6), (21, 18), (24, 13), (7, 21), (12, 34), (21, 4), (24, 22), (25, 31), (28, 36), (2, 22), (6, 2), (32, 4), (1, 37), (22, 19), (29, 2), (20, 13), (9, 29), (14, 38), (18, 3), (2, 31), (13, 18), (22, 34), (14, 16), (10, 17), (22, 36), (8, 21), (24, 36), (23, 17), (24, 4), (13, 28), (21, 32), (8, 26), (19, 33), (32, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 28), (27, 29), (23, 11), (24, 3), (0, 2), (34, 25), (9, 3), (7, 19), (4, 7), (8, 30), (2, 23), (4, 19), (25, 27), (28, 24), (12, 6), (24, 25), (12, 13), (13, 16), (16, 6), (28, 13), (27, 9), (9, 19), (15, 10), (36, 23), (9, 4), (24, 12), (7, 3), (17, 16), (1, 28), (35, 7), (13, 7), (8, 9), (6, 15), (9, 8), (20, 18), (11, 19), (7, 12), (3, 11), (35, 8), (27, 12), (31, 13), (1, 22), (26, 12), (25, 4), (15, 19), (30, 20), (1, 21), (24, 20), (0, 22), (18, 13), (3, 9), (37, 24), (34, 8), (34, 0), (6, 8), (0, 3), (33, 22), (20, 11), (5, 27), (20, 4), (2, 24), (18, 3), (23, 12), (2, 15), (9, 27), (24, 7), (7, 23), (21, 11), (4, 5), (7, 6), (12, 21), (28, 1), (36, 30), (28, 28), (14, 13), (33, 0), (29, 13), (7, 1), (15, 27), (15, 0), (36, 26), (34, 3), (13, 24), (3, 25), (19, 15), (32, 28), (14, 30), (25, 21), (1, 27), (36, 24), (36, 13), (25, 12), (26, 26), (13, 23), (30, 16), (2, 1), (36, 1), (21, 14), (3, 20), (9, 30), (11, 20), (5, 21), (9, 14), (5, 24), (28, 8), (34, 10), (17, 21), (16, 9), (23, 2), (27, 28), (26, 2), (18, 1), (5, 20), (37, 3), (32, 25), (27, 18), (35, 4), (33, 29), (16, 23), (1, 19), (11, 12), (12, 11), (2, 18), (4, 29), (28, 4), (35, 5), (8, 12), (29, 21), (5, 4), (26, 20), (25, 22), (31, 21), (15, 2), (37, 15), (12, 0), (11, 24), (1, 23), (17, 8), (6, 16), (11, 15), (5, 29), (35, 27), (35, 25), (15, 12), (30, 26), (25, 17), (11, 29), (21, 12), (2, 17), (13, 12), (33, 24), (10, 6), (21, 26), (27, 1), (20, 17), (14, 12), (11, 4), (10, 15), (33, 9), (5, 18), (14, 26), (24, 21), (36, 4), (15, 13), (26, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 32x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 18), (1, 26), (9, 7), (11, 15), (5, 33), (9, 27), (29, 2), (23, 3), (23, 15), (2, 31), (11, 13), (13, 18), (15, 7), (25, 23), (7, 35), (28, 25), (2, 19), (3, 13), (2, 37), (16, 37), (25, 13), (1, 1), (7, 36), (18, 6), (7, 26), (4, 1), (17, 12), (18, 12), (17, 35), (20, 13), (16, 8), (4, 8), (11, 35), (11, 26), (24, 16), (3, 27), (29, 29), (16, 15), (26, 32), (20, 24), (6, 32), (11, 19), (21, 36), (15, 30), (24, 1), (9, 25), (5, 10), (16, 34), (18, 0), (21, 6), (26, 4), (19, 15), (15, 28), (6, 16), (14, 8), (29, 8), (4, 2), (23, 18), (15, 26), (7, 7), (19, 36), (31, 35), (27, 30), (26, 17), (8, 18), (19, 9), (0, 22), (4, 9), (2, 32), (9, 30), (1, 14), (18, 18), (7, 25), (0, 23), (9, 26), (30, 3), (19, 34), (7, 11), (3, 32), (19, 0), (8, 28), (20, 17), (21, 20), (3, 0), (5, 28), (18, 11), (19, 14), (29, 35), (12, 32), (7, 23), (29, 23), (7, 5), (4, 14), (0, 4), (20, 30), (27, 13), (1, 6), (4, 19), (30, 1), (13, 17), (27, 25), (21, 1), (7, 28), (20, 11), (17, 6), (14, 14), (12, 17), (9, 15), (9, 0), (18, 31), (24, 18), (14, 27), (6, 14), (27, 15), (2, 30), (2, 24), (26, 1), (9, 22), (19, 27), (30, 8), (15, 19), (26, 5), (25, 21), (25, 14), (21, 0), (13, 10), (5, 2), (16, 28), (13, 34), (14, 3), (8, 16), (6, 29), (24, 36), (25, 4), (9, 4), (13, 13), (21, 32), (9, 1), (7, 12), (3, 20), (5, 4), (25, 29), (9, 24), (4, 25), (27, 22), (11, 31), (30, 4), (2, 4), (0, 31), (6, 9), (9, 31), (1, 9), (2, 13), (15, 9), (18, 27), (6, 36), (23, 16), (1, 35), (17, 15), (19, 29), (15, 15), (12, 8), (1, 37), (4, 5), (21, 24), (20, 12), (17, 1), (13, 22), (2, 34), (10, 30), (28, 30), (12, 31), (17, 0), (14, 6), (19, 17), (10, 35), (24, 2), (7, 14), (7, 0), (21, 11), (17, 4), (19, 16), (25, 26), (27, 27), (5, 12), (27, 24), (10, 10), (6, 35), (28, 29), (23, 32), (29, 4), (4, 16), (9, 13), (30, 25), (22, 33), (3, 10), (17, 34), (25, 34), (13, 29), (29, 19), (2, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 15), (15, 8), (26, 6), (25, 0), (21, 3), (7, 23), (30, 6), (22, 11), (37, 18), (38, 11), (33, 10), (11, 20), (4, 6), (38, 7), (23, 7), (20, 9), (3, 27), (13, 15), (27, 29), (22, 10), (32, 23), (21, 25), (14, 24), (3, 10), (30, 1), (17, 7), (5, 17), (14, 23), (37, 14), (3, 20), (24, 6), (33, 27), (37, 6), (34, 4), (35, 15), (19, 22), (8, 20), (34, 20), (34, 13), (20, 4), (29, 14), (35, 9), (7, 29), (29, 16), (3, 12), (16, 27), (4, 19), (34, 14), (11, 4), (26, 15), (6, 17), (9, 17), (11, 10), (29, 26), (28, 28), (30, 23), (30, 0), (15, 6), (30, 28), (26, 28), (27, 27), (33, 17), (17, 6), (18, 28), (0, 21), (21, 4), (10, 8), (28, 9), (2, 23), (36, 20), (3, 3), (26, 25), (22, 22), (14, 21), (11, 7), (28, 22), (22, 28), (30, 12), (24, 19), (19, 4), (23, 17), (29, 23), (25, 19), (25, 12), (11, 14), (6, 2), (20, 28), (16, 29), (19, 24), (37, 3), (14, 9), (20, 27), (31, 25), (11, 5), (15, 16), (17, 18), (0, 22), (25, 5), (10, 23), (19, 12), (13, 27), (14, 26), (26, 22), (18, 8), (5, 22), (21, 29), (23, 26), (0, 1), (22, 14), (34, 11), (21, 23), (0, 5), (31, 21), (38, 24), (33, 6), (8, 27), (30, 27), (17, 11), (29, 22), (2, 4), (28, 23), (31, 28), (9, 28), (7, 14), (12, 0), (5, 23), (7, 16), (33, 5), (2, 16), (5, 24), (27, 6), (18, 23), (13, 22), (25, 15), (9, 21), (14, 2), (34, 19), (36, 6), (2, 27), (25, 20), (12, 18), (24, 1), (22, 25), (31, 12), (13, 4), (23, 10), (27, 1), (35, 12), (8, 11), (7, 22), (27, 10), (12, 3), (22, 27), (31, 20), (19, 16), (9, 24), (10, 19), (24, 21), (0, 28), (5, 28), (6, 7), (16, 18), (19, 2), (8, 26), (22, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 28), (3, 14), (13, 13), (0, 23), (8, 17), (18, 30), (16, 0), (7, 13), (3, 12), (30, 30), (6, 3), (12, 4), (12, 0), (27, 21), (31, 6), (11, 22), (12, 11), (20, 6), (31, 13), (8, 32), (16, 21), (24, 29), (20, 7), (25, 27), (29, 30), (0, 33), (16, 9), (24, 33), (31, 25), (28, 4), (3, 8), (21, 16), (1, 4), (10, 11), (23, 19), (21, 3), (22, 28), (28, 7), (15, 19), (4, 7), (21, 13), (22, 18), (29, 5), (0, 29), (1, 14), (18, 24), (4, 11), (28, 19), (11, 14), (21, 22), (33, 9), (25, 1), (16, 19), (18, 33), (6, 25), (23, 28), (8, 11), (33, 7), (30, 28), (32, 8), (22, 15), (6, 9), (25, 17), (18, 9), (2, 9), (12, 9), (16, 2), (25, 19), (18, 0), (24, 21), (1, 28), (27, 4), (22, 12), (27, 25), (0, 21), (25, 20), (20, 14), (1, 13), (21, 20), (10, 0), (10, 22), (10, 30), (25, 6), (17, 5), (29, 28), (9, 8), (4, 13), (19, 25), (29, 10), (21, 23), (29, 14), (27, 32), (6, 32), (15, 32), (6, 14), (27, 7), (23, 22), (15, 1), (5, 7), (31, 11), (17, 11), (33, 11), (28, 22), (9, 14), (1, 31), (24, 25), (31, 17), (1, 17), (11, 19), (3, 10), (1, 24), (20, 19), (23, 31), (4, 4), (9, 21), (23, 18), (27, 13), (3, 23), (30, 29), (27, 9), (26, 9), (11, 3), (31, 10), (0, 1), (18, 21), (26, 0), (13, 7), (3, 13), (29, 32), (4, 31), (32, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 8), (21, 13), (36, 21), (26, 26), (19, 3), (20, 14), (17, 2), (8, 28), (25, 14), (4, 10), (7, 32), (14, 31), (7, 14), (31, 20), (28, 21), (22, 30), (27, 15), (0, 2), (11, 26), (20, 9), (32, 36), (21, 26), (6, 0), (9, 0), (36, 9), (22, 1), (16, 21), (18, 20), (19, 32), (34, 27), (14, 0), (32, 1), (7, 28), (24, 10), (9, 19), (17, 10), (35, 27), (28, 7), (10, 12), (4, 12), (2, 4), (4, 21), (3, 32), (36, 2), (33, 35), (25, 16), (32, 30), (16, 2), (0, 21), (1, 6), (20, 19), (33, 33), (17, 11), (2, 16), (16, 10), (18, 10), (4, 26), (18, 27), (28, 3), (19, 21), (36, 31), (0, 8), (5, 23), (30, 35), (6, 20), (0, 13), (27, 12), (24, 35), (29, 26), (12, 16), (12, 14), (19, 12), (11, 28), (22, 8), (10, 27), (1, 22), (34, 14), (30, 10), (5, 28), (1, 34), (9, 35), (12, 6), (28, 15), (25, 18), (6, 10), (14, 34), (36, 34), (11, 18), (14, 5), (25, 29), (35, 14), (0, 10), (17, 12), (12, 5), (22, 24), (20, 0), (16, 4), (5, 31), (3, 36), (15, 8), (17, 30), (23, 14), (27, 20), (27, 0), (16, 22), (12, 36), (28, 5), (35, 28), (20, 22), (26, 32), (17, 4), (35, 18), (36, 28), (32, 32), (31, 1), (2, 11), (26, 31), (10, 11), (34, 10), (23, 4), (6, 26), (3, 22), (35, 36), (1, 33), (2, 33), (34, 20), (30, 7), (0, 34), (32, 19), (5, 30), (18, 5), (14, 9), (17, 23), (5, 7), (0, 22), (8, 26), (24, 15), (13, 18), (33, 15), (33, 5), (34, 15), (8, 0), (29, 33), (33, 30), (33, 27), (23, 31), (23, 33), (36, 3), (36, 13), (30, 17), (19, 33), (14, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 22), (14, 2), (0, 10), (4, 6), (27, 10), (22, 20), (22, 19), (28, 21), (7, 25), (22, 14), (2, 6), (19, 12), (18, 13), (25, 25), (15, 0), (26, 22), (9, 32), (26, 5), (12, 28), (17, 23), (18, 14), (3, 1), (2, 12), (5, 31), (16, 6), (18, 12), (15, 23), (14, 29), (0, 2), (3, 17), (8, 6), (23, 12), (18, 30), (14, 4), (13, 30), (16, 7), (9, 16), (24, 18), (3, 22), (6, 32), (20, 10), (26, 1), (26, 3), (10, 12), (9, 25), (1, 5), (13, 6), (4, 16), (4, 19), (2, 20), (8, 32), (8, 24), (7, 24), (13, 22), (24, 7), (1, 15), (16, 4), (20, 4), (23, 4), (5, 23), (16, 5), (14, 5), (28, 8), (22, 22), (25, 28), (28, 16), (0, 22), (2, 5), (4, 5), (5, 25), (16, 15), (25, 13), (6, 8), (1, 32), (19, 21), (10, 29), (3, 24), (24, 23), (28, 10), (1, 12), (12, 33), (24, 10), (17, 26), (14, 23), (24, 20), (15, 22), (15, 9), (7, 19), (21, 25), (19, 3), (23, 25), (2, 33), (11, 1), (8, 26), (17, 10), (29, 22), (12, 32), (4, 20), (3, 21), (5, 30), (2, 4), (28, 32), (19, 11), (11, 9), (2, 14), (8, 9), (5, 16), (12, 20), (18, 6), (1, 33), (28, 12), (27, 14), (10, 20), (25, 5), (23, 7), (17, 20), (24, 22), (22, 29), (21, 2), (4, 17), (7, 9), (29, 10), (21, 27), (1, 6), (0, 25), (17, 17), (10, 5), (25, 15), (25, 1), (10, 9), (16, 22), (7, 6), (16, 33), (13, 14), (15, 20), (0, 15), (21, 11), (10, 25), (16, 12), (25, 4), (17, 21), (6, 1), (19, 17), (28, 23), (23, 8), (22, 1), (14, 10), (20, 14), (3, 20), (22, 21), (8, 33), (24, 24), (17, 25), (29, 0), (28, 17), (19, 31), (25, 10), (5, 9), (12, 24), (12, 30), (21, 20), (22, 25), (3, 31), (2, 25), (23, 10), (13, 4), (14, 6), (23, 28), (7, 17), (0, 19), (16, 21), (9, 22), (19, 4), (23, 23), (10, 8), (11, 7), (20, 22), (7, 31), (6, 29), (24, 15), (4, 31), (0, 4), (28, 9), (6, 16), (8, 15), (15, 25), (17, 5), (16, 13), (7, 8), (13, 3), (24, 0), (21, 32), (9, 26), (23, 24), (5, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 32x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 14), (16, 31), (21, 28), (24, 21), (6, 12), (31, 13), (10, 7), (21, 0), (30, 17), (5, 27), (10, 25), (13, 11), (12, 22), (3, 17), (18, 30), (8, 11), (5, 28), (27, 6), (10, 9), (6, 30), (2, 25), (6, 25), (3, 19), (9, 28), (3, 15), (23, 4), (23, 1), (31, 19), (29, 25), (19, 5), (5, 19), (30, 31), (30, 4), (25, 6), (25, 9), (26, 30), (15, 25), (3, 10), (26, 3), (18, 31), (13, 10), (24, 18), (4, 8), (22, 35), (14, 19), (12, 30), (4, 23), (20, 6), (12, 9), (14, 0), (26, 5), (24, 19), (20, 17), (15, 12), (17, 4), (19, 0), (26, 32), (0, 20), (0, 19), (18, 28), (2, 2), (15, 20), (20, 24), (1, 17), (14, 26), (23, 24), (3, 35), (5, 6), (30, 10), (2, 18), (23, 5), (12, 28), (4, 27), (26, 33), (27, 32), (2, 14), (31, 24), (30, 30), (28, 9), (7, 19), (0, 1), (15, 29), (5, 15), (29, 33), (28, 18), (15, 17), (31, 12), (19, 4), (11, 13), (25, 24), (21, 4), (5, 2), (12, 16), (17, 30), (11, 24), (2, 5), (20, 14), (10, 28), (18, 1), (28, 24), (23, 8), (11, 32), (1, 15), (21, 8), (8, 12), (1, 11), (27, 34), (20, 28), (29, 12), (5, 16), (28, 7), (1, 26), (19, 2), (15, 31), (19, 13), (8, 7), (31, 3), (1, 14), (3, 21), (13, 30), (19, 21), (21, 18), (20, 22), (24, 29), (24, 23), (17, 2), (6, 11), (13, 32), (3, 24), (5, 13), (19, 14), (8, 22), (26, 0), (11, 25), (11, 6), (13, 34), (10, 4), (10, 1), (2, 4), (0, 29), (0, 3), (27, 3), (2, 24), (9, 30), (18, 0), (14, 6), (15, 28), (19, 7), (0, 23), (16, 23), (12, 26), (0, 24), (16, 5), (24, 31), (4, 33), (2, 26), (10, 6), (16, 2), (25, 33), (7, 8), (21, 27), (2, 3), (15, 35), (28, 15), (17, 10), (1, 31), (2, 16), (12, 0), (15, 2), (19, 35), (24, 11), (8, 35), (9, 14), (7, 2), (2, 34), (31, 8), (14, 10), (15, 19), (17, 1), (17, 21), (24, 12), (3, 1), (3, 11), (1, 5), (24, 0), (9, 23), (0, 17), (20, 11), (20, 12), (8, 8), (0, 5), (12, 27), (0, 21), (19, 33), (1, 35), (22, 29), (27, 15), (13, 27), (18, 17), (24, 32), (22, 19), (30, 25), (27, 29), (13, 25), (17, 12), (27, 30), (21, 31), (14, 32), (8, 4), (14, 7), (19, 11), (23, 35), (18, 25), (10, 23), (7, 29), (24, 4), (17, 9), (31, 7), (14, 11), (0, 6), (31, 5), (13, 14), (29, 18), (25, 26), (18, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 4), (30, 4), (27, 21), (18, 17), (0, 3), (1, 21), (6, 20), (2, 3), (4, 35), (25, 36), (4, 3), (29, 15), (20, 5), (21, 8), (1, 28), (27, 9), (11, 2), (1, 13), (7, 33), (20, 10), (7, 8), (29, 24), (1, 26), (8, 14), (9, 38), (1, 38), (2, 21), (19, 16), (20, 12), (6, 12), (21, 0), (31, 10), (8, 30), (13, 22), (20, 31), (10, 13), (14, 25), (14, 33), (28, 30), (0, 24), (13, 4), (5, 15), (13, 10), (8, 38), (19, 15), (13, 38), (22, 33), (26, 19), (30, 17), (18, 3), (4, 13), (30, 38), (26, 2), (12, 13), (3, 12), (18, 20), (21, 15), (14, 16), (14, 0), (23, 16), (10, 24), (1, 19), (16, 30), (17, 25), (22, 32), (6, 23), (26, 8), (22, 1), (4, 12), (27, 13), (17, 32), (26, 25), (25, 33), (26, 27), (3, 18), (20, 33), (13, 7), (13, 2), (25, 0), (3, 22), (4, 38), (11, 20), (12, 22), (28, 36), (11, 26), (8, 2), (12, 18), (26, 11), (30, 9), (26, 10), (4, 4), (11, 6), (8, 4), (13, 33), (6, 4), (25, 15), (5, 2), (31, 36), (26, 31), (9, 35), (12, 37), (24, 7), (30, 34), (12, 14), (28, 10), (3, 20), (18, 24), (12, 5), (4, 24), (9, 36), (0, 36), (23, 5), (30, 32), (9, 8), (9, 24), (12, 12), (20, 13), (25, 14), (20, 36), (17, 7), (26, 9), (8, 25), (14, 36), (14, 5), (18, 18), (1, 5), (3, 7), (31, 11), (2, 26), (26, 24), (19, 21), (3, 36), (29, 3), (12, 20), (23, 2), (26, 12), (12, 35), (10, 28), (26, 29), (13, 5), (4, 23), (6, 36), (20, 1), (14, 24), (7, 10), (21, 25), (4, 20), (28, 6), (16, 6), (20, 7), (11, 22), (22, 37), (10, 32), (3, 32), (14, 2), (24, 21), (12, 24), (14, 10), (5, 34), (29, 25), (21, 28), (11, 7), (1, 22), (29, 38), (8, 16), (4, 25), (13, 23), (28, 26), (20, 6), (0, 13), (6, 15), (24, 29), (14, 20), (12, 38), (6, 27), (23, 0), (30, 13), (27, 18), (4, 0), (12, 15), (13, 6), (13, 9), (23, 25), (21, 34), (15, 1), (20, 19), (8, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 34x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 10), (1, 19), (15, 32), (21, 1), (15, 16), (5, 24), (11, 34), (22, 7), (6, 27), (24, 2), (23, 23), (25, 11), (3, 25), (4, 31), (33, 18), (25, 22), (13, 21), (18, 2), (20, 33), (24, 4), (27, 17), (0, 11), (16, 15), (6, 23), (7, 21), (22, 31), (1, 7), (0, 1), (26, 26), (15, 12), (6, 17), (21, 11), (23, 15), (33, 29), (22, 21), (13, 32), (20, 30), (15, 6), (13, 17), (17, 3), (0, 8), (0, 30), (5, 14), (17, 9), (13, 3), (26, 33), (22, 18), (19, 14), (4, 2), (32, 28), (9, 12), (23, 32), (16, 34), (6, 30), (15, 29), (10, 8), (9, 18), (5, 32), (31, 25), (0, 23), (26, 2), (11, 15), (27, 9), (5, 4), (6, 11), (2, 10), (28, 20), (4, 26), (31, 5), (12, 16), (15, 8), (27, 21), (28, 1), (32, 6), (22, 25), (18, 25), (25, 25), (19, 32), (14, 9), (33, 8), (27, 10), (9, 25), (20, 19), (13, 7), (23, 11), (31, 10), (20, 27), (28, 15), (11, 5), (22, 32), (9, 11), (15, 14), (2, 18), (12, 26), (13, 13), (23, 25), (14, 16), (8, 28), (23, 20), (16, 20), (3, 20), (20, 11), (8, 24), (11, 1), (1, 4), (29, 32), (9, 17), (29, 19), (32, 26), (21, 8), (4, 8), (21, 7), (10, 4), (19, 18), (5, 6), (12, 6), (22, 28), (29, 26), (26, 7), (7, 10), (21, 23), (0, 3), (26, 24), (32, 30), (26, 32), (10, 10), (33, 19), (3, 0), (11, 9), (10, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 21), (24, 20), (29, 23), (9, 36), (3, 9), (26, 36), (20, 32), (16, 33), (12, 3), (36, 11), (10, 8), (33, 12), (34, 8), (5, 29), (24, 21), (19, 34), (21, 30), (32, 6), (16, 16), (12, 34), (21, 31), (23, 27), (31, 33), (9, 34), (9, 18), (16, 26), (16, 8), (4, 16), (23, 13), (16, 14), (29, 6), (33, 18), (4, 9), (32, 14), (32, 30), (19, 6), (33, 5), (5, 13), (5, 27), (27, 5), (25, 13), (19, 0), (36, 9), (20, 3), (12, 23), (24, 15), (2, 11), (30, 10), (2, 36), (5, 2), (32, 11), (14, 16), (7, 33), (2, 12), (9, 5), (23, 22), (31, 13), (33, 22), (23, 4), (6, 12), (3, 32), (24, 27), (11, 8), (6, 34), (30, 20), (23, 17), (16, 27), (24, 6), (26, 20), (21, 0), (8, 5), (34, 7), (23, 14), (21, 34), (0, 32), (16, 3), (12, 7), (22, 2), (5, 15), (9, 24), (2, 28), (33, 17), (30, 33), (17, 24), (27, 13), (27, 28), (11, 21), (22, 6), (32, 23), (26, 27), (21, 27), (22, 10), (27, 34), (27, 2), (15, 12), (14, 32), (6, 24), (9, 16), (12, 13), (12, 30), (15, 3), (16, 9), (11, 3), (30, 17), (20, 6), (29, 24), (1, 26), (22, 21), (27, 33), (6, 1), (10, 13), (1, 6), (9, 11), (18, 8), (27, 24), (27, 14), (24, 35), (27, 11), (19, 36), (31, 14), (2, 33), (19, 15), (9, 1), (16, 13), (13, 22), (19, 13), (7, 21), (19, 10), (2, 20), (21, 21), (8, 35), (3, 14), (11, 15), (11, 36), (7, 0), (5, 11), (33, 1), (25, 18), (11, 13), (4, 27), (34, 5), (20, 2), (10, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "In a 35x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 24), (23, 25), (18, 20), (1, 1), (24, 2), (3, 15), (27, 9), (28, 1), (6, 24), (15, 3), (28, 17), (19, 12), (19, 3), (29, 28), (4, 25), (15, 6), (15, 23), (15, 12), (24, 26), (4, 6), (21, 10), (25, 17), (13, 22), (8, 24), (27, 8), (29, 23), (6, 12), (24, 6), (5, 4), (20, 14), (33, 17), (2, 17), (17, 24), (9, 1), (12, 23), (25, 23), (12, 7), (31, 15), (17, 1), (4, 24), (7, 26), (2, 23), (13, 25), (1, 29), (4, 16), (19, 27), (21, 28), (11, 16), (30, 7), (25, 6), (14, 17), (11, 24), (22, 3), (0, 8), (16, 18), (19, 21), (1, 17), (24, 12), (19, 15), (17, 11), (21, 19), (17, 15), (31, 14), (11, 7), (23, 12), (12, 2), (16, 28), (1, 28), (15, 13), (11, 25), (13, 7), (25, 21), (9, 15), (32, 0), (4, 3), (26, 7), (16, 23), (12, 3), (14, 4), (29, 14), (25, 14), (7, 2), (20, 20), (17, 22), (33, 6), (28, 28), (13, 10), (11, 27), (0, 21), (10, 10), (0, 19), (22, 16), (23, 13), (25, 4), (5, 3), (28, 22), (1, 23), (31, 16), (6, 17), (7, 7), (31, 22), (3, 1), (21, 24), (1, 27), (17, 23), (8, 9), (26, 25), (22, 21), (32, 6), (23, 22), (11, 11), (34, 28), (12, 12), (1, 15), (12, 17), (7, 29), (15, 21), (19, 10), (11, 19), (15, 27), (22, 26), (12, 5), (18, 18), (6, 19), (25, 24), (34, 1), (1, 5), (6, 7), (26, 22), (0, 25), (5, 7), (5, 28), (17, 25), (33, 20), (16, 1), (1, 26), (28, 4), (16, 15), (34, 22), (18, 11), (17, 28), (28, 24), (7, 6), (32, 4), (28, 23), (30, 6), (20, 11), (12, 8), (26, 12), (18, 28), (19, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 37x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 2), (16, 29), (36, 19), (32, 27), (11, 19), (16, 26), (8, 10), (35, 31), (33, 30), (2, 22), (6, 16), (2, 29), (26, 23), (5, 4), (34, 19), (29, 11), (17, 25), (18, 11), (3, 14), (34, 28), (18, 31), (29, 19), (30, 3), (12, 21), (5, 15), (26, 12), (24, 18), (24, 29), (28, 24), (1, 11), (15, 2), (35, 21), (34, 26), (35, 22), (21, 30), (0, 8), (5, 9), (19, 12), (0, 31), (9, 26), (26, 7), (27, 26), (7, 24), (9, 5), (32, 20), (32, 25), (17, 26), (8, 5), (13, 20), (32, 19), (2, 9), (1, 1), (29, 12), (17, 17), (14, 3), (6, 21), (35, 27), (15, 4), (9, 4), (24, 4), (8, 15), (10, 10), (4, 13), (7, 11), (11, 15), (3, 2), (4, 0), (14, 1), (23, 14), (6, 5), (20, 29), (3, 3), (12, 25), (31, 11), (24, 0), (6, 12), (29, 17), (13, 29), (23, 6), (36, 9), (0, 23), (14, 7), (36, 27), (29, 16), (20, 9), (3, 21), (10, 3), (9, 18), (21, 7), (15, 16), (22, 17), (23, 11), (13, 4), (9, 29), (30, 22), (35, 28), (31, 26), (9, 23), (33, 19), (17, 1), (31, 19), (14, 28), (21, 17), (26, 28), (26, 25), (11, 1), (25, 22), (5, 1), (34, 25), (9, 13), (32, 28), (27, 23), (24, 22), (6, 0), (35, 7), (27, 22), (28, 0), (27, 4), (34, 30), (20, 5), (31, 4), (23, 19), (24, 5), (36, 26), (19, 11), (12, 27), (12, 13), (20, 17), (32, 17), (17, 6), (30, 29), (16, 9), (11, 3), (19, 8), (26, 16), (7, 9), (17, 11), (29, 20), (27, 30), (31, 17), (6, 20), (13, 5), (27, 28), (1, 23), (30, 19), (7, 18), (8, 25), (8, 0), (12, 17), (27, 3), (10, 7), (28, 22), (31, 27), (27, 9), (21, 6), (25, 16), (23, 21), (34, 12), (18, 30), (7, 23), (27, 11), (4, 5), (5, 5), (34, 3), (28, 30), (22, 12), (19, 25), (24, 21), (3, 12), (28, 25), (19, 13), (18, 28), (36, 18), (5, 30), (3, 4), (14, 27), (17, 19), (5, 24), (5, 20), (34, 4), (0, 7), (27, 14), (34, 24), (14, 20), (4, 24), (20, 15), (24, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 1), (12, 1), (24, 7), (21, 21), (26, 15), (28, 6), (15, 8), (4, 12), (13, 16), (9, 22), (14, 23), (20, 25), (12, 18), (32, 0), (7, 27), (3, 22), (3, 6), (18, 24), (23, 6), (14, 16), (1, 25), (6, 11), (29, 28), (32, 16), (23, 18), (26, 7), (20, 29), (9, 24), (6, 29), (26, 23), (25, 22), (23, 10), (27, 5), (13, 2), (31, 6), (28, 5), (27, 6), (23, 23), (13, 11), (20, 18), (14, 25), (17, 2), (30, 25), (25, 0), (8, 11), (1, 22), (22, 18), (2, 12), (3, 17), (26, 18), (10, 12), (1, 4), (17, 3), (22, 3), (14, 29), (23, 15), (24, 2), (31, 4), (7, 5), (6, 7), (8, 26), (5, 14), (19, 5), (17, 6), (6, 17), (31, 1), (15, 26), (14, 7), (0, 27), (22, 19), (8, 17), (18, 2), (7, 29), (30, 28), (16, 13), (2, 17), (31, 25), (31, 17), (14, 19), (29, 24), (5, 26), (32, 3), (18, 18), (13, 29), (31, 7), (23, 16), (6, 15), (2, 8), (24, 8), (1, 0), (20, 19), (22, 25), (5, 28), (14, 10), (7, 9), (10, 7), (28, 0), (18, 25), (22, 15), (30, 22), (30, 21), (20, 10), (3, 29), (26, 10), (2, 28), (0, 26), (24, 23), (11, 21), (23, 20), (2, 14), (14, 26), (28, 23), (28, 8), (3, 8), (26, 22), (15, 11), (27, 23), (15, 10), (30, 20), (19, 26), (2, 11), (16, 2), (25, 20), (29, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 17), (5, 2), (14, 28), (2, 16), (8, 25), (4, 27), (25, 3), (16, 24), (12, 14), (3, 20), (4, 29), (9, 13), (25, 24), (28, 6), (19, 15), (28, 1), (6, 10), (12, 17), (14, 27), (16, 8), (24, 29), (0, 27), (12, 21), (10, 13), (19, 26), (14, 8), (11, 19), (21, 4), (28, 17), (11, 12), (25, 11), (17, 18), (5, 8), (5, 1), (3, 25), (8, 8), (13, 18), (12, 27), (4, 19), (8, 30), (22, 5), (9, 23), (12, 19), (0, 3), (10, 16), (10, 0), (22, 24), (22, 11), (28, 23), (24, 14), (6, 7), (20, 17), (3, 9), (9, 28), (17, 1), (11, 26), (21, 27), (17, 21), (16, 26), (1, 24), (29, 7), (20, 13), (15, 16), (25, 29), (29, 11), (11, 13), (19, 13), (5, 0), (14, 18), (17, 12), (22, 7), (10, 23), (6, 25), (26, 9), (26, 4), (3, 26), (18, 29), (24, 8), (28, 24), (23, 25), (30, 15), (2, 1), (25, 1), (27, 10), (20, 6), (29, 14), (1, 2), (4, 16), (21, 9), (23, 29), (20, 8), (30, 24), (30, 14), (8, 24), (22, 30), (5, 9), (9, 20), (15, 22), (11, 24), (11, 2), (21, 21), (17, 24), (28, 14), (1, 6), (17, 2), (28, 22), (27, 29), (6, 19), (8, 29), (27, 25), (7, 2), (26, 30), (4, 28), (9, 19), (17, 23), (5, 27), (16, 28), (3, 10), (16, 15), (6, 8), (22, 8), (1, 22), (22, 19), (1, 26), (10, 26), (14, 9), (27, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 29), (16, 27), (19, 16), (14, 6), (36, 27), (1, 4), (17, 25), (29, 10), (12, 26), (13, 21), (20, 28), (13, 12), (29, 16), (19, 2), (34, 21), (35, 3), (10, 29), (18, 0), (23, 23), (38, 24), (6, 0), (21, 6), (13, 10), (30, 3), (2, 27), (21, 17), (32, 22), (5, 13), (30, 20), (27, 29), (10, 10), (22, 1), (21, 5), (17, 26), (16, 7), (22, 23), (28, 28), (5, 20), (30, 8), (34, 5), (36, 13), (8, 25), (29, 29), (2, 16), (3, 17), (33, 19), (32, 16), (29, 3), (22, 7), (9, 18), (20, 2), (21, 23), (28, 14), (13, 28), (9, 2), (28, 30), (16, 5), (11, 2), (10, 23), (14, 29), (0, 12), (3, 27), (12, 5), (12, 29), (37, 29), (10, 28), (28, 20), (18, 24), (4, 23), (29, 17), (15, 19), (3, 22), (6, 2), (25, 14), (3, 18), (8, 15), (15, 29), (10, 22), (23, 1), (26, 30), (36, 9), (25, 4), (17, 22), (27, 0), (28, 5), (38, 15), (12, 9), (8, 17), (9, 26), (19, 8), (17, 10), (16, 1), (17, 24), (15, 14), (5, 11), (37, 15), (20, 8), (31, 26), (29, 26), (8, 13), (0, 11), (2, 21), (10, 25), (16, 9), (34, 23), (22, 19), (29, 8), (1, 2), (18, 13), (26, 27), (38, 20), (24, 2), (27, 11), (10, 12), (1, 9), (12, 3), (13, 20), (36, 20), (32, 10), (8, 27), (17, 19), (29, 14), (3, 12), (27, 3), (2, 14), (1, 25), (22, 0), (34, 2), (38, 26), (5, 16), (8, 3), (11, 23), (28, 2), (21, 26), (9, 12), (16, 12), (24, 14), (11, 30), (32, 18), (32, 15), (10, 24), (35, 16), (4, 20), (1, 26), (30, 26), (8, 0), (27, 12), (26, 8), (19, 4), (12, 0), (19, 19), (16, 17), (16, 13), (27, 17), (37, 20), (29, 0), (8, 21), (10, 2), (14, 25), (22, 12), (3, 9), (19, 30), (3, 11), (9, 1), (15, 27), (15, 15), (3, 30), (29, 1), (4, 29), (22, 22), (23, 18), (35, 21), (26, 18), (28, 15), (24, 22), (28, 4), (38, 18), (26, 11), (15, 24), (20, 29), (4, 6), (29, 5), (4, 26), (3, 3), (9, 6), (26, 9), (26, 19), (37, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 19), (1, 23), (9, 20), (27, 28), (11, 17), (12, 9), (16, 10), (27, 34), (30, 31), (7, 34), (24, 22), (2, 0), (9, 30), (32, 0), (17, 2), (13, 35), (16, 5), (23, 10), (5, 25), (37, 29), (0, 6), (0, 31), (7, 13), (15, 12), (31, 29), (18, 32), (22, 31), (33, 7), (6, 4), (23, 9), (10, 8), (19, 36), (29, 13), (28, 25), (4, 14), (8, 8), (0, 27), (4, 34), (28, 14), (15, 34), (33, 20), (14, 32), (16, 33), (1, 2), (34, 1), (0, 2), (0, 32), (7, 29), (9, 27), (7, 25), (15, 10), (9, 12), (36, 22), (0, 24), (1, 30), (19, 25), (7, 28), (36, 9), (13, 23), (26, 18), (21, 23), (19, 34), (11, 10), (1, 17), (26, 10), (2, 23), (1, 13), (25, 13), (13, 31), (13, 27), (2, 27), (14, 25), (27, 3), (14, 28), (33, 21), (22, 10), (18, 3), (13, 33), (19, 17), (29, 35), (31, 6), (31, 12), (3, 16), (15, 1), (20, 7), (4, 23), (28, 27), (30, 23), (36, 20), (10, 24), (20, 26), (17, 23), (18, 8), (18, 13), (32, 1), (18, 34), (18, 12), (12, 6), (11, 34), (22, 7), (7, 15), (34, 33), (3, 28), (31, 30), (21, 5), (11, 36), (29, 7), (29, 28), (29, 22), (5, 29), (2, 25), (8, 4), (33, 3), (20, 27), (2, 33), (3, 8), (26, 29), (32, 9), (37, 21), (26, 16), (13, 6), (14, 16), (18, 5), (25, 30), (0, 36), (30, 27), (17, 15), (2, 10), (30, 4), (25, 3), (26, 15), (1, 27), (20, 1), (27, 29), (27, 19), (33, 30), (24, 27), (34, 30), (31, 20), (15, 11), (20, 11), (30, 10), (14, 4), (20, 6), (11, 14), (34, 32), (29, 30), (16, 19), (7, 4), (5, 26), (1, 8), (7, 35), (0, 10), (16, 36), (19, 8), (2, 18), (30, 11), (27, 16), (15, 32), (3, 22), (19, 18), (20, 24), (8, 9), (28, 6), (10, 11), (9, 36), (30, 14), (5, 30), (24, 21), (38, 3), (14, 34), (28, 5), (15, 14), (25, 11), (2, 34), (0, 28), (20, 8), (2, 32), (33, 33), (35, 30), (11, 7), (27, 8), (26, 28), (6, 27), (23, 29), (32, 32), (4, 22), (3, 26), (8, 15), (14, 17), (33, 19), (34, 22), (17, 6), (19, 23), (10, 12), (38, 34), (30, 1), (13, 0), (8, 10), (15, 15), (6, 7), (21, 17), (1, 7), (26, 36), (3, 20), (28, 29), (24, 1), (23, 16), (19, 0), (30, 0), (11, 18), (32, 17), (25, 25), (19, 21), (38, 9), (34, 12), (17, 25), (32, 23), (37, 19), (37, 26), (27, 7), (8, 30), (28, 0), (27, 24), (14, 22), (22, 11), (13, 14), (33, 28), (29, 12), (5, 18), (28, 36), (1, 11), (1, 25), (21, 31), (10, 19), (9, 35), (30, 36), (18, 7), (13, 24), (34, 0), (12, 26), (29, 24), (1, 9), (17, 33), (6, 1), (20, 12), (32, 14), (37, 28), (38, 33), (28, 28), (23, 25), (1, 10), (27, 17), (1, 21), (24, 10), (9, 15), (1, 32), (17, 12), (26, 4), (37, 24), (7, 12), (24, 14), (32, 7), (37, 27), (28, 34), (21, 30), (3, 15), (15, 33), (22, 0), (30, 26), (4, 32), (11, 9), (36, 24), (27, 31), (10, 5), (23, 30), (22, 1), (32, 29), (21, 26), (12, 13), (6, 11), (6, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 8), (13, 17), (36, 20), (5, 22), (20, 8), (37, 6), (20, 11), (3, 21), (22, 14), (0, 10), (0, 2), (6, 18), (22, 7), (38, 8), (23, 2), (20, 30), (37, 18), (10, 4), (3, 5), (35, 31), (38, 14), (32, 20), (4, 11), (2, 2), (20, 9), (37, 28), (13, 26), (21, 11), (17, 34), (30, 2), (9, 33), (12, 12), (7, 30), (6, 17), (12, 26), (2, 27), (13, 12), (35, 34), (12, 29), (10, 19), (17, 20), (9, 4), (0, 26), (33, 5), (26, 34), (29, 21), (37, 0), (15, 6), (22, 19), (8, 10), (8, 28), (19, 27), (34, 18), (20, 2), (8, 20), (32, 35), (11, 24), (23, 34), (4, 14), (14, 28), (24, 1), (14, 26), (5, 1), (3, 20), (14, 8), (28, 20), (5, 25), (27, 29), (37, 19), (33, 6), (25, 31), (6, 7), (11, 26), (25, 35), (7, 34), (0, 6), (30, 1), (17, 35), (32, 15), (22, 10), (14, 33), (7, 33), (14, 1), (27, 15), (3, 6), (30, 14), (2, 14), (12, 1), (37, 7), (16, 12), (4, 10), (6, 3), (11, 31), (15, 25), (0, 25), (38, 0), (19, 28), (31, 7), (24, 21), (28, 14), (30, 8), (38, 23), (19, 10), (0, 15), (12, 24), (19, 17), (21, 18), (31, 24), (36, 35), (8, 21), (19, 29), (34, 15), (7, 11), (14, 31), (31, 33), (12, 25), (2, 5), (6, 15), (35, 1), (11, 33), (29, 12), (7, 31), (16, 9), (7, 17), (33, 17), (30, 11), (31, 10), (3, 29), (38, 9), (30, 29), (13, 18), (29, 10), (1, 25), (32, 11), (32, 25), (31, 22), (29, 15), (15, 12), (11, 20), (28, 34), (1, 3), (34, 21), (0, 32), (35, 15), (24, 26), (34, 35), (18, 21), (18, 35), (13, 8), (16, 21), (7, 13), (0, 1), (36, 6), (14, 35), (16, 28), (4, 7), (23, 31), (10, 21), (26, 8), (18, 33), (29, 1), (35, 22), (5, 15), (34, 0), (12, 30), (9, 32), (35, 32), (35, 6), (37, 10), (17, 3), (6, 19), (28, 26), (24, 27), (22, 11), (35, 4), (23, 23), (28, 30), (7, 2), (22, 3), (29, 19), (6, 13), (28, 19), (33, 7), (17, 0), (24, 24), (9, 17), (9, 16), (1, 26), (23, 15), (13, 29), (32, 34), (22, 13), (8, 30), (21, 14), (30, 23), (9, 5), (36, 7), (21, 31), (9, 19), (8, 33), (36, 5), (4, 26), (30, 17), (7, 12), (34, 23), (35, 23), (6, 20), (13, 31), (17, 17), (29, 27), (28, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 4), (13, 27), (27, 5), (3, 4), (10, 4), (20, 28), (30, 3), (3, 19), (26, 13), (4, 27), (7, 12), (26, 22), (28, 0), (18, 25), (17, 12), (32, 5), (3, 3), (18, 8), (7, 11), (2, 28), (4, 4), (18, 21), (30, 8), (7, 7), (18, 26), (27, 28), (18, 13), (11, 29), (14, 1), (21, 2), (3, 28), (9, 6), (17, 18), (6, 21), (14, 23), (19, 5), (24, 23), (8, 0), (23, 18), (5, 2), (12, 1), (19, 20), (28, 8), (11, 0), (17, 3), (27, 29), (6, 14), (1, 6), (0, 17), (4, 20), (26, 29), (13, 3), (25, 13), (26, 23), (3, 7), (16, 14), (11, 23), (2, 10), (28, 14), (8, 2), (2, 20), (3, 0), (25, 21), (0, 26), (4, 13), (31, 7), (13, 6), (30, 9), (7, 19), (9, 2), (29, 12), (28, 12), (26, 8), (15, 12), (4, 9), (24, 17), (12, 9), (0, 21), (2, 6), (24, 21), (3, 23), (10, 24), (12, 2), (28, 23), (0, 23), (30, 2), (8, 12), (29, 11), (19, 9), (26, 10), (13, 14), (13, 12), (20, 27), (0, 24), (24, 5), (24, 20), (32, 4), (25, 25), (17, 13), (14, 13), (11, 16), (4, 26), (12, 24), (9, 17), (2, 22), (19, 22), (9, 12), (18, 12), (12, 16), (23, 12), (13, 7), (9, 24), (14, 16), (1, 18), (11, 21), (7, 18), (34, 28), (33, 19), (22, 24), (31, 14), (17, 26), (20, 22), (4, 23), (32, 18), (31, 16), (20, 23), (26, 12), (2, 24), (10, 25), (6, 10), (16, 28), (30, 10), (26, 2), (21, 24), (15, 25), (23, 13), (33, 15), (24, 19), (26, 7), (8, 25), (25, 26), (20, 11), (20, 24), (26, 18), (23, 0), (14, 10), (2, 9), (25, 28), (8, 7), (8, 20), (17, 22), (8, 4), (18, 16), (5, 20), (0, 22), (30, 19), (25, 17), (6, 12), (9, 20), (27, 12), (9, 23), (27, 21), (13, 15), (18, 19), (32, 21), (3, 6), (24, 7), (32, 12), (16, 1), (24, 10), (17, 20), (33, 10), (5, 21), (21, 29), (4, 29), (12, 22), (3, 29), (24, 8), (10, 15), (23, 16), (19, 7), (4, 12), (31, 28), (34, 12), (2, 13), (13, 9), (1, 28), (18, 10), (0, 16), (26, 24), (30, 14), (14, 21), (24, 16), (22, 22), (4, 28), (33, 14), (0, 25), (11, 25), (30, 15), (33, 11), (23, 21), (3, 12), (16, 9), (34, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 1), (6, 6), (4, 26), (28, 1), (30, 15), (7, 29), (22, 0), (28, 8), (14, 9), (18, 22), (8, 30), (22, 16), (2, 28), (23, 15), (10, 30), (26, 1), (6, 17), (10, 19), (27, 1), (5, 20), (33, 28), (11, 4), (1, 16), (32, 29), (19, 13), (30, 29), (17, 28), (13, 24), (28, 24), (5, 2), (6, 26), (16, 13), (17, 27), (27, 2), (5, 19), (10, 24), (15, 27), (6, 2), (5, 12), (23, 17), (13, 25), (14, 7), (9, 20), (14, 20), (0, 20), (10, 25), (17, 18), (4, 27), (4, 9), (18, 19), (16, 16), (9, 30), (21, 16), (30, 3), (17, 14), (3, 14), (18, 18), (11, 30), (18, 2), (18, 14), (34, 1), (19, 16), (3, 0), (3, 15), (15, 19), (32, 10), (0, 31), (34, 13), (27, 27), (4, 30), (11, 21), (25, 25), (8, 24), (32, 14), (28, 22), (5, 11), (10, 18), (1, 28), (21, 19), (3, 25), (25, 30), (25, 15), (23, 14), (15, 14), (14, 8), (25, 5), (4, 6), (20, 25), (16, 20), (16, 25), (12, 16), (30, 20), (25, 2), (16, 14), (33, 16), (29, 7), (15, 26), (30, 28), (26, 10), (4, 15), (21, 27), (28, 17), (25, 6), (15, 7), (28, 11), (30, 21), (24, 3), (31, 1), (24, 5), (33, 7), (32, 23), (34, 29), (3, 5), (2, 24), (25, 22), (23, 0), (15, 31), (0, 3), (4, 23), (29, 28), (4, 0), (7, 10), (2, 13), (19, 3), (23, 22), (11, 14), (27, 30), (26, 4), (22, 15), (3, 24), (26, 28), (3, 27), (32, 8), (24, 11), (10, 1), (26, 19), (1, 31), (8, 13), (28, 31), (28, 4), (5, 24), (12, 2), (12, 15), (33, 18), (20, 17), (17, 24), (14, 14), (12, 26), (5, 10), (10, 13), (8, 17), (27, 25), (10, 0), (8, 20), (20, 10), (32, 21), (0, 14), (32, 3), (13, 17), (5, 7), (12, 5), (20, 9), (0, 15), (23, 12), (1, 15), (1, 22), (17, 20), (31, 9), (8, 3), (9, 16), (22, 7), (33, 11), (32, 9), (31, 0), (22, 22), (22, 3), (28, 12), (0, 22), (19, 14), (11, 1), (6, 19), (18, 28), (1, 4), (27, 8), (29, 32), (21, 23), (29, 8), (20, 18), (30, 5), (24, 31), (2, 2), (24, 1), (25, 27), (5, 31), (20, 32), (4, 18), (30, 22), (0, 9), (25, 7), (5, 23), (3, 11), (12, 22), (9, 18), (10, 7), (23, 6), (15, 11), (0, 17), (6, 5), (25, 1), (23, 18), (19, 17), (3, 19), (7, 28), (19, 0), (29, 10), (33, 4), (25, 3), (17, 11), (11, 13), (16, 27), (26, 21), (14, 26), (30, 4), (12, 29), (0, 19), (34, 27), (17, 22), (29, 23), (29, 5), (14, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 32), (6, 23), (10, 27), (5, 29), (2, 7), (2, 31), (7, 18), (11, 31), (3, 15), (17, 19), (17, 22), (5, 12), (21, 4), (38, 20), (23, 30), (18, 1), (36, 25), (31, 7), (20, 3), (6, 6), (23, 14), (29, 12), (5, 22), (37, 26), (26, 22), (3, 12), (7, 5), (36, 23), (7, 2), (16, 30), (32, 19), (10, 31), (10, 10), (11, 0), (23, 31), (14, 16), (3, 24), (10, 8), (15, 0), (21, 17), (32, 15), (34, 21), (27, 2), (34, 8), (7, 3), (35, 8), (21, 22), (20, 14), (14, 14), (1, 5), (4, 24), (21, 3), (33, 30), (0, 9), (18, 3), (9, 26), (31, 9), (20, 24), (23, 20), (2, 15), (3, 6), (11, 23), (29, 16), (3, 30), (18, 12), (5, 31), (26, 10), (4, 16), (35, 15), (23, 13), (26, 23), (31, 12), (37, 9), (27, 27), (31, 10), (33, 7), (35, 25), (1, 25), (8, 21), (15, 23), (17, 11), (22, 20), (37, 27), (20, 29), (17, 6), (6, 16), (31, 29), (37, 22), (0, 29), (6, 5), (5, 25), (34, 5), (33, 1), (0, 7), (13, 4), (9, 20), (25, 6), (28, 2), (11, 27), (34, 1), (2, 28), (36, 11), (37, 10), (3, 4), (24, 32), (7, 19), (25, 27), (9, 25), (13, 21), (12, 29), (7, 7), (29, 29), (28, 3), (21, 11), (20, 10), (27, 10), (21, 16), (29, 11), (8, 19), (5, 20), (2, 4), (25, 7), (8, 5), (36, 22), (10, 5), (21, 20), (17, 30), (6, 0), (0, 19), (16, 3), (12, 17), (14, 22), (13, 20), (13, 25), (20, 22), (22, 30), (17, 18), (29, 5), (7, 1), (27, 8), (21, 2), (21, 21), (34, 22), (9, 13), (1, 3), (17, 21), (22, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 32x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 11), (16, 17), (8, 2), (20, 20), (4, 30), (23, 21), (5, 19), (12, 3), (17, 25), (28, 25), (7, 14), (13, 5), (3, 3), (1, 30), (15, 27), (21, 17), (20, 9), (27, 21), (24, 5), (8, 18), (28, 3), (30, 27), (14, 23), (1, 8), (5, 0), (31, 26), (21, 29), (0, 19), (11, 5), (5, 15), (22, 15), (27, 24), (6, 11), (12, 24), (8, 8), (10, 22), (27, 12), (4, 24), (6, 14), (3, 14), (2, 27), (14, 27), (14, 9), (29, 21), (26, 5), (12, 27), (10, 32), (18, 16), (10, 13), (3, 13), (25, 19), (3, 26), (9, 18), (16, 32), (18, 24), (24, 22), (2, 2), (4, 25), (29, 4), (5, 28), (20, 23), (6, 30), (25, 22), (26, 25), (11, 29), (0, 32), (8, 20), (11, 12), (24, 31), (27, 31), (8, 3), (25, 9), (15, 29), (7, 18), (4, 29), (25, 21), (8, 6), (24, 9), (2, 25), (0, 6), (24, 14), (6, 12), (28, 24), (0, 23), (19, 17), (6, 17), (17, 24), (17, 22), (13, 11), (31, 2), (25, 3), (16, 12), (13, 15), (22, 26), (9, 8), (29, 5), (18, 29), (11, 10), (16, 19), (16, 4), (26, 3), (23, 22), (24, 3), (31, 28), (9, 10), (15, 16), (9, 32), (10, 14), (3, 11), (11, 7), (14, 6), (18, 32), (9, 0), (26, 15), (27, 15), (31, 12), (20, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 8), (30, 24), (17, 15), (10, 17), (20, 16), (10, 21), (27, 29), (10, 8), (8, 15), (22, 18), (0, 5), (27, 13), (12, 25), (12, 9), (34, 14), (16, 28), (23, 24), (8, 22), (9, 23), (26, 26), (2, 2), (0, 27), (35, 26), (17, 8), (24, 26), (20, 0), (24, 10), (32, 26), (8, 29), (31, 1), (0, 17), (8, 5), (24, 1), (16, 4), (31, 5), (20, 15), (31, 29), (23, 28), (28, 27), (16, 7), (27, 19), (21, 17), (13, 11), (24, 5), (3, 1), (17, 21), (34, 16), (1, 5), (28, 12), (14, 20), (12, 0), (32, 29), (35, 0), (8, 10), (5, 20), (6, 7), (33, 30), (18, 22), (32, 17), (29, 17), (29, 5), (15, 1), (20, 11), (5, 25), (5, 22), (7, 2), (8, 11), (4, 16), (23, 7), (31, 6), (16, 26), (9, 29), (22, 6), (33, 23), (2, 11), (29, 7), (3, 9), (5, 11), (33, 28), (30, 27), (16, 14), (33, 22), (12, 11), (28, 3), (22, 11), (13, 28), (32, 30), (21, 20), (34, 1), (14, 23), (8, 6), (25, 10), (2, 21), (17, 0), (7, 0), (25, 12), (14, 11), (21, 29), (13, 10), (18, 24), (10, 22), (30, 22), (22, 24), (9, 30), (16, 10), (14, 15), (27, 1), (19, 0), (5, 30), (26, 17), (18, 18), (12, 23), (27, 25), (14, 29), (1, 8), (5, 12), (12, 27), (33, 11), (8, 0), (0, 16), (0, 15), (34, 6), (9, 7), (1, 15), (6, 10), (15, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 7), (2, 19), (18, 8), (16, 20), (37, 19), (28, 2), (23, 22), (14, 32), (6, 33), (31, 32), (29, 22), (38, 23), (25, 24), (37, 25), (19, 4), (12, 21), (36, 12), (16, 16), (26, 5), (17, 20), (4, 11), (15, 2), (10, 22), (29, 31), (28, 16), (21, 31), (16, 15), (21, 33), (36, 1), (34, 11), (32, 12), (5, 12), (14, 3), (4, 15), (8, 18), (27, 4), (25, 31), (2, 17), (27, 14), (27, 22), (23, 34), (22, 22), (38, 18), (31, 31), (21, 0), (20, 10), (16, 2), (36, 17), (7, 26), (25, 32), (20, 31), (28, 27), (31, 25), (30, 31), (15, 34), (9, 11), (8, 16), (26, 4), (13, 22), (13, 4), (30, 9), (31, 15), (1, 8), (24, 33), (12, 11), (36, 33), (0, 26), (37, 17), (23, 8), (34, 0), (11, 6), (13, 3), (26, 30), (28, 32), (5, 17), (19, 2), (12, 5), (37, 23), (13, 32), (33, 2), (15, 17), (33, 27), (4, 18), (29, 10), (24, 8), (7, 30), (20, 18), (5, 26), (5, 9), (5, 34), (7, 28), (31, 26), (0, 10), (33, 5), (1, 25), (22, 25), (24, 32), (9, 28), (35, 4), (27, 21), (16, 8), (9, 9), (38, 0), (15, 33), (15, 11), (11, 32), (9, 33), (33, 3), (32, 34), (21, 1), (38, 13), (5, 13), (16, 33), (23, 13), (32, 0), (6, 19), (23, 20), (5, 4), (24, 10), (37, 4), (24, 27), (1, 17), (32, 21), (3, 23), (25, 10), (25, 2), (21, 13), (21, 7), (38, 29), (2, 33), (21, 4), (35, 8), (8, 6), (0, 31), (29, 24), (2, 11), (25, 29), (38, 30), (13, 33), (13, 26), (32, 13), (0, 30), (6, 0), (22, 13), (16, 12), (29, 29), (10, 3), (7, 0), (33, 30), (21, 2), (16, 21), (16, 7), (11, 7), (1, 16), (3, 9), (23, 17), (10, 10), (37, 32), (3, 27), (9, 27), (17, 15), (31, 24), (34, 2), (36, 30), (24, 16), (23, 3), (15, 22), (37, 22), (20, 19), (25, 25), (6, 21), (31, 16), (27, 16), (23, 15), (7, 17), (13, 2), (13, 15), (20, 22), (26, 8), (2, 22), (11, 1), (31, 1), (25, 4), (15, 4), (1, 19), (8, 11), (1, 29), (25, 28), (3, 7), (23, 2), (2, 3), (32, 26), (22, 7), (28, 5), (6, 30), (26, 9), (25, 14), (18, 33), (19, 22), (14, 26), (33, 14), (23, 18), (3, 30), (33, 10), (18, 30), (11, 28), (5, 3), (8, 2), (1, 21), (8, 24), (15, 1), (24, 23), (20, 1), (22, 15), (17, 28), (24, 12), (0, 13), (28, 9), (26, 29), (32, 16), (23, 0), (10, 0), (10, 11), (25, 19), (15, 32), (1, 14), (28, 4), (38, 31), (11, 2), (29, 1), (35, 17), (3, 31), (31, 30), (35, 21), (4, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 34x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 8), (20, 11), (24, 20), (32, 25), (9, 29), (4, 28), (24, 18), (8, 4), (31, 8), (13, 13), (33, 24), (22, 3), (4, 11), (14, 18), (15, 17), (18, 23), (31, 17), (28, 26), (24, 0), (4, 16), (22, 7), (10, 22), (28, 3), (2, 31), (20, 26), (18, 20), (20, 3), (18, 22), (17, 30), (10, 6), (21, 11), (7, 23), (4, 27), (22, 26), (15, 7), (29, 19), (12, 9), (33, 21), (17, 24), (28, 15), (25, 3), (32, 14), (15, 30), (8, 8), (21, 9), (11, 26), (25, 22), (5, 23), (14, 1), (29, 4), (17, 18), (18, 10), (28, 22), (26, 7), (2, 29), (12, 10), (13, 26), (6, 4), (27, 22), (9, 30), (5, 11), (24, 9), (7, 6), (33, 10), (11, 21), (19, 15), (13, 22), (8, 0), (8, 3), (31, 4), (15, 28), (29, 3), (17, 3), (19, 20), (23, 7), (8, 20), (1, 6), (31, 18), (29, 10), (4, 19), (11, 7), (14, 7), (32, 15), (31, 30), (15, 15), (20, 17), (21, 0), (22, 22), (21, 8), (14, 13), (27, 24), (28, 19), (33, 6), (31, 25), (3, 18), (24, 19), (33, 20), (16, 2), (20, 31), (27, 20), (19, 30), (12, 5), (27, 26), (26, 31), (2, 15), (17, 10), (26, 16), (21, 16), (0, 21), (26, 0), (30, 11), (1, 28), (17, 4), (27, 9), (0, 15), (26, 26), (16, 12), (12, 16), (19, 0), (7, 28), (1, 1), (16, 18), (5, 0), (25, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 30x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 19), (2, 11), (28, 4), (14, 27), (24, 7), (3, 25), (23, 8), (14, 10), (12, 11), (21, 18), (16, 7), (14, 7), (7, 23), (7, 15), (14, 18), (23, 0), (23, 24), (6, 27), (0, 7), (20, 7), (4, 20), (25, 16), (23, 20), (17, 8), (22, 19), (0, 1), (12, 7), (15, 13), (15, 19), (16, 12), (25, 26), (18, 16), (25, 8), (10, 5), (12, 26), (9, 21), (8, 0), (6, 12), (5, 15), (28, 23), (25, 24), (8, 9), (28, 19), (16, 22), (4, 1), (0, 29), (29, 16), (25, 0), (28, 9), (23, 6), (28, 18), (12, 15), (12, 22), (3, 8), (8, 26), (19, 14), (20, 17), (2, 12), (5, 25), (9, 29), (25, 7), (1, 20), (4, 14), (14, 1), (18, 17), (16, 24), (10, 3), (26, 22), (8, 29), (23, 29), (27, 20), (26, 1), (26, 4), (7, 25), (4, 17), (27, 21), (26, 11), (15, 23), (1, 14), (16, 1), (6, 11), (0, 23), (0, 27), (10, 7), (26, 15), (12, 25), (8, 20), (28, 26), (17, 7), (0, 6), (17, 15), (13, 4), (7, 10), (21, 15), (10, 20), (19, 2), (6, 26), (10, 10), (0, 3), (5, 1), (15, 25), (13, 18), (11, 29), (18, 2), (2, 2), (9, 2), (3, 13), (20, 28), (18, 6), (13, 25), (13, 26), (9, 13), (16, 29), (3, 28), (3, 26), (2, 5), (1, 27), (12, 10), (16, 20), (15, 5), (13, 5), (14, 4), (28, 8), (0, 28), (17, 2), (26, 25), (29, 14), (24, 10), (15, 6), (26, 5), (5, 10), (22, 10), (2, 14), (14, 16), (23, 11), (19, 17), (26, 29), (0, 14), (21, 1), (16, 26), (22, 12), (24, 12), (16, 14), (28, 15), (24, 14), (0, 19), (24, 19), (13, 6), (19, 16), (25, 19), (0, 11), (5, 21), (3, 3), (8, 22), (18, 27), (10, 9), (15, 9), (22, 21), (5, 19), (13, 22), (7, 6), (16, 28), (18, 8), (23, 3), (10, 11), (17, 29), (12, 2), (12, 24), (7, 2), (22, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 38x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 20), (7, 14), (30, 24), (4, 2), (10, 30), (2, 9), (13, 20), (18, 26), (10, 3), (11, 26), (6, 5), (22, 2), (23, 25), (15, 12), (36, 22), (34, 1), (21, 7), (35, 29), (14, 31), (24, 7), (13, 9), (9, 27), (32, 4), (19, 31), (15, 20), (31, 15), (21, 29), (35, 32), (15, 27), (22, 14), (23, 31), (2, 4), (9, 22), (35, 27), (14, 28), (37, 3), (12, 20), (32, 5), (18, 0), (19, 27), (19, 10), (19, 1), (37, 19), (8, 17), (33, 15), (17, 8), (34, 25), (34, 17), (29, 30), (10, 22), (27, 26), (29, 32), (21, 10), (36, 5), (23, 20), (23, 14), (4, 25), (3, 22), (0, 4), (31, 1), (17, 21), (2, 33), (11, 27), (28, 9), (11, 9), (1, 11), (2, 2), (17, 5), (3, 25), (24, 5), (36, 15), (1, 27), (34, 13), (32, 16), (23, 2), (22, 15), (35, 5), (17, 30), (3, 14), (33, 0), (32, 15), (19, 21), (37, 18), (32, 17), (1, 19), (6, 20), (24, 28), (18, 16), (18, 4), (16, 15), (10, 2), (4, 4), (33, 18), (20, 7), (15, 24), (37, 1), (5, 30), (20, 27), (27, 18), (24, 10), (25, 16), (14, 9), (31, 8), (11, 1), (27, 28), (32, 24), (15, 8), (33, 22), (17, 6), (28, 16), (30, 18), (34, 32), (10, 4), (9, 17), (22, 3), (35, 31), (25, 32), (20, 26), (21, 14), (11, 28), (29, 13), (21, 32), (34, 33), (1, 21), (32, 30), (12, 23), (33, 28), (13, 13), (21, 3), (13, 7), (22, 31), (15, 28), (2, 24), (8, 33), (35, 19), (1, 17), (12, 31), (1, 8), (0, 28), (12, 27), (12, 25), (33, 13), (26, 19), (30, 6), (34, 9), (13, 27), (37, 25), (26, 5), (0, 6), (25, 7), (31, 29), (34, 6), (37, 0), (27, 5), (32, 25), (34, 28), (27, 20), (0, 9), (37, 16), (21, 23), (30, 25), (34, 18), (8, 4), (29, 17), (20, 8), (3, 29), (12, 16), (14, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 25), (9, 28), (2, 5), (17, 24), (22, 12), (4, 7), (21, 27), (34, 0), (27, 5), (12, 3), (10, 10), (33, 1), (16, 23), (28, 8), (32, 10), (30, 29), (1, 25), (19, 22), (13, 11), (13, 4), (21, 22), (16, 18), (31, 9), (8, 2), (27, 15), (21, 16), (27, 19), (22, 1), (20, 27), (27, 25), (5, 18), (17, 27), (9, 3), (17, 17), (13, 20), (29, 14), (8, 14), (14, 25), (17, 6), (31, 2), (32, 1), (10, 29), (13, 8), (34, 18), (15, 27), (1, 4), (26, 10), (30, 22), (4, 26), (31, 8), (21, 3), (35, 29), (36, 2), (15, 24), (28, 25), (1, 0), (29, 23), (2, 29), (4, 14), (3, 9), (16, 9), (24, 27), (29, 24), (28, 9), (8, 29), (13, 27), (36, 17), (6, 5), (4, 22), (21, 20), (27, 9), (17, 15), (22, 15), (0, 3), (13, 9), (28, 21), (26, 4), (22, 8), (15, 14), (4, 0), (15, 0), (27, 7), (12, 27), (35, 28), (18, 26), (17, 21), (31, 18), (21, 13), (33, 3), (11, 28), (2, 6), (36, 12), (4, 2), (27, 29), (9, 7), (3, 27), (20, 9), (15, 8), (35, 18), (4, 27), (31, 23), (27, 26), (11, 22), (20, 4), (7, 28), (8, 10), (2, 3), (11, 20), (30, 12), (32, 29), (10, 17), (13, 6), (6, 15), (3, 0), (1, 13), (30, 11), (23, 6), (12, 13), (6, 8), (18, 25), (1, 23), (31, 1), (8, 23), (35, 8), (5, 4), (35, 4), (11, 10), (4, 28), (3, 5), (30, 14), (33, 25), (28, 13), (1, 20), (18, 5), (19, 16), (25, 24), (36, 19), (12, 19), (25, 5), (25, 22), (23, 20), (13, 18), (11, 17), (16, 29), (22, 29), (30, 20), (10, 4), (29, 19), (4, 19), (13, 2), (30, 6), (23, 19), (22, 10), (23, 1), (24, 9), (22, 28), (16, 26), (20, 28), (12, 23), (28, 6), (25, 14), (7, 15), (11, 27), (35, 5), (20, 2), (19, 12), (19, 26), (4, 18), (18, 22), (32, 16), (5, 26), (36, 10), (25, 23), (27, 2), (17, 5), (25, 6), (23, 12), (6, 28), (12, 15), (22, 17), (12, 0), (13, 21), (20, 7), (23, 27), (35, 14), (9, 9), (2, 12), (23, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 22), (22, 8), (15, 24), (10, 3), (31, 22), (21, 27), (21, 4), (8, 11), (23, 9), (14, 12), (29, 6), (25, 17), (27, 27), (11, 11), (18, 33), (18, 25), (26, 17), (22, 7), (24, 12), (25, 27), (33, 21), (19, 14), (17, 17), (4, 24), (17, 6), (6, 9), (15, 7), (16, 30), (29, 7), (34, 28), (12, 6), (20, 26), (16, 24), (1, 32), (20, 17), (16, 31), (5, 21), (0, 26), (22, 28), (10, 6), (4, 7), (21, 25), (8, 31), (19, 35), (4, 13), (35, 2), (3, 29), (22, 17), (10, 0), (19, 13), (11, 19), (4, 16), (27, 5), (3, 4), (28, 28), (26, 25), (34, 4), (24, 16), (3, 32), (10, 25), (2, 25), (12, 15), (33, 18), (25, 3), (27, 0), (28, 19), (34, 12), (6, 18), (19, 6), (8, 15), (26, 27), (7, 28), (27, 22), (27, 2), (19, 19), (14, 5), (25, 1), (29, 25), (8, 6), (28, 35), (35, 26), (24, 17), (3, 0), (20, 34), (12, 35), (0, 25), (35, 33), (6, 1), (25, 2), (13, 7), (34, 22), (35, 5), (21, 0), (2, 8), (6, 14), (0, 7), (10, 15), (27, 16), (17, 0), (10, 22), (21, 32), (15, 14), (20, 8), (8, 12), (35, 25), (3, 10), (31, 18), (16, 15), (13, 21), (34, 9), (10, 14), (26, 9), (18, 20), (1, 16), (7, 35), (35, 8), (20, 22), (33, 2), (18, 5), (22, 23), (21, 13), (27, 23), (7, 13), (14, 14), (20, 3), (12, 32), (30, 11), (6, 5), (35, 9), (17, 9), (26, 1), (20, 33), (8, 34), (13, 19), (8, 29), (32, 23), (17, 15), (5, 24), (29, 9), (5, 32), (16, 7), (17, 18), (3, 15), (6, 0), (20, 18), (0, 11), (0, 3), (25, 28), (9, 12), (23, 15), (22, 18), (20, 12), (32, 9), (6, 34), (35, 29), (12, 33), (19, 25), (15, 25), (1, 5), (13, 25), (35, 15), (7, 6), (31, 16), (14, 25), (32, 15), (26, 20), (16, 4), (30, 32), (0, 16), (4, 19), (17, 29), (22, 34), (17, 1), (33, 27), (7, 12), (26, 4), (23, 18), (4, 5), (20, 4), (36, 29), (28, 31), (7, 21), (11, 21), (25, 22), (36, 2), (7, 4), (25, 29), (23, 16), (14, 27), (25, 23), (0, 21), (16, 2), (26, 8), (16, 13), (14, 9), (3, 34), (35, 34), (29, 2), (23, 20), (9, 11), (33, 0), (30, 7), (1, 35), (33, 8), (4, 12), (25, 6), (4, 6), (21, 8), (12, 21), (2, 19), (7, 32), (29, 17), (16, 32), (4, 35), (23, 13), (6, 15), (36, 16), (0, 20), (17, 30), (5, 22), (29, 35), (2, 24), (17, 28), (17, 20), (19, 15), (30, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 34x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 22), (14, 1), (8, 16), (10, 32), (29, 13), (20, 20), (10, 28), (31, 7), (16, 24), (33, 1), (15, 25), (18, 34), (27, 17), (16, 28), (32, 4), (20, 3), (30, 9), (25, 5), (25, 0), (23, 18), (19, 28), (15, 36), (33, 13), (16, 15), (29, 15), (10, 18), (21, 16), (31, 23), (2, 6), (19, 14), (23, 16), (10, 34), (5, 1), (21, 3), (10, 31), (5, 32), (22, 23), (27, 3), (15, 1), (3, 35), (10, 35), (1, 8), (32, 26), (16, 17), (14, 3), (12, 9), (14, 5), (30, 10), (20, 30), (14, 28), (26, 26), (16, 27), (1, 13), (17, 31), (11, 34), (9, 16), (24, 24), (0, 32), (24, 29), (24, 4), (25, 15), (25, 13), (9, 29), (4, 30), (26, 24), (0, 6), (9, 32), (1, 6), (18, 35), (8, 36), (8, 14), (29, 21), (20, 15), (25, 24), (13, 34), (4, 8), (19, 2), (2, 34), (12, 13), (3, 0), (13, 20), (18, 13), (33, 26), (12, 34), (17, 12), (8, 35), (8, 4), (6, 31), (7, 20), (0, 23), (14, 0), (19, 16), (16, 22), (24, 19), (24, 2), (6, 15), (19, 30), (4, 17), (10, 17), (10, 16), (33, 7), (13, 9), (3, 32), (23, 3), (17, 6), (17, 14), (22, 15), (13, 11), (22, 24), (30, 31), (3, 23), (29, 6), (9, 30), (30, 34), (12, 24), (31, 22), (4, 19), (21, 12), (3, 28), (26, 0), (31, 29), (14, 33), (12, 8), (19, 26), (18, 28), (6, 14), (32, 31), (19, 7), (29, 16), (14, 30), (1, 30), (21, 33), (29, 10), (21, 1), (1, 34), (15, 18), (15, 2), (2, 32), (4, 25), (32, 22), (11, 15), (12, 0), (28, 6), (20, 18), (28, 30), (23, 32), (15, 5), (6, 0), (27, 26), (24, 35), (15, 30), (11, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 4), (12, 26), (21, 12), (1, 28), (10, 31), (16, 24), (23, 18), (28, 2), (19, 8), (12, 34), (28, 20), (2, 9), (18, 9), (10, 1), (26, 16), (12, 7), (19, 19), (8, 31), (0, 27), (8, 27), (0, 20), (2, 0), (9, 0), (7, 13), (3, 28), (14, 30), (8, 21), (22, 24), (24, 2), (23, 3), (7, 19), (25, 3), (7, 7), (4, 14), (7, 0), (11, 9), (1, 17), (18, 32), (1, 18), (11, 29), (12, 27), (6, 33), (20, 34), (21, 0), (26, 27), (28, 19), (21, 13), (8, 0), (25, 4), (24, 5), (20, 3), (6, 17), (22, 14), (27, 5), (9, 17), (23, 30), (9, 8), (9, 14), (27, 6), (13, 19), (12, 1), (17, 20), (7, 20), (16, 25), (16, 15), (23, 22), (4, 7), (2, 1), (4, 12), (16, 0), (3, 26), (1, 25), (6, 8), (26, 15), (12, 8), (24, 6), (5, 2), (14, 6), (29, 19), (12, 5), (17, 10), (8, 8), (5, 34), (6, 24), (14, 0), (16, 11), (19, 17), (17, 24), (8, 6), (2, 17), (14, 16), (11, 19), (26, 7), (19, 24), (21, 27), (18, 11), (21, 8), (21, 28), (19, 15), (2, 29), (28, 10), (24, 12), (10, 17), (5, 31), (20, 29), (16, 12), (28, 4), (0, 9), (1, 9), (6, 26), (9, 32), (25, 2), (3, 1), (28, 3), (16, 34), (18, 26), (8, 18), (2, 34), (14, 18), (23, 34), (28, 7), (4, 30), (22, 33), (24, 27), (25, 20), (4, 8), (24, 16), (6, 22), (17, 13), (20, 14), (19, 32), (9, 4), (21, 6), (12, 10), (6, 34), (1, 11), (27, 20), (8, 20), (16, 21), (25, 8), (15, 27), (4, 24), (19, 4), (9, 34), (25, 16), (24, 7), (18, 15), (5, 18), (12, 14), (20, 13), (5, 21), (15, 15), (21, 22), (19, 27), (13, 24), (9, 2), (14, 17), (19, 31), (27, 14), (19, 30), (6, 1), (9, 13), (15, 24), (25, 10), (5, 15), (10, 27), (29, 33), (26, 19), (21, 30), (13, 13), (19, 7), (9, 26), (1, 3), (6, 12), (25, 5), (19, 13), (6, 9), (27, 16), (25, 29), (4, 3), (25, 1), (22, 8), (27, 31), (4, 4), (17, 9), (16, 7), (5, 19), (6, 6), (23, 27), (23, 17), (23, 14), (27, 0), (4, 19), (13, 16), (28, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 30), (12, 19), (5, 18), (20, 11), (4, 27), (29, 14), (0, 22), (26, 6), (14, 23), (28, 22), (29, 28), (5, 30), (10, 23), (8, 16), (20, 26), (29, 36), (33, 5), (25, 30), (0, 6), (12, 33), (32, 32), (37, 34), (30, 22), (37, 23), (7, 20), (13, 4), (3, 7), (4, 28), (32, 10), (5, 20), (32, 38), (19, 10), (20, 37), (17, 18), (22, 20), (33, 6), (33, 37), (30, 20), (17, 2), (4, 20), (14, 7), (16, 37), (28, 4), (0, 38), (19, 11), (30, 2), (28, 37), (8, 8), (14, 30), (5, 15), (32, 11), (24, 30), (22, 25), (23, 21), (31, 14), (15, 27), (23, 8), (25, 17), (11, 14), (4, 36), (27, 26), (14, 37), (14, 20), (20, 33), (15, 23), (11, 6), (13, 33), (11, 24), (15, 26), (4, 7), (3, 13), (31, 18), (27, 38), (18, 29), (10, 35), (32, 33), (24, 5), (8, 24), (19, 17), (38, 5), (21, 30), (14, 34), (12, 10), (14, 1), (3, 27), (33, 33), (2, 6), (1, 2), (15, 0), (2, 36), (7, 18), (28, 13), (0, 7), (2, 20), (0, 30), (23, 11), (19, 34), (2, 9), (15, 38), (30, 19), (23, 25), (36, 11), (7, 10), (16, 1), (20, 18), (30, 8), (10, 12), (22, 23), (24, 10), (11, 26), (12, 26), (17, 14), (10, 0), (0, 3), (17, 12), (30, 30), (25, 12), (27, 23), (2, 16), (32, 12), (23, 17), (29, 20), (0, 32), (9, 7), (22, 12), (11, 13), (35, 28), (25, 38), (19, 12), (20, 0), (1, 10), (4, 5), (34, 11), (23, 27), (25, 0), (23, 29), (38, 3), (37, 19), (16, 16), (13, 26), (36, 2), (26, 1), (28, 35), (5, 2), (33, 8), (24, 17), (5, 28), (28, 5), (3, 35), (13, 14), (19, 3), (18, 19), (15, 3), (7, 16), (4, 12), (7, 38), (21, 2), (36, 21), (16, 23), (26, 27), (18, 12), (0, 27), (9, 21), (24, 27), (32, 14), (20, 15), (15, 13), (31, 16), (9, 2), (35, 5), (1, 4), (25, 22), (37, 32), (35, 25), (30, 32), (21, 7), (5, 0), (12, 4), (13, 20), (18, 9), (3, 11), (4, 34), (24, 21), (21, 29), (12, 3), (24, 0), (28, 32), (1, 38), (22, 38), (20, 21), (13, 18), (0, 25), (1, 20), (19, 20), (2, 38), (20, 24), (35, 23), (25, 9), (10, 3), (4, 15), (0, 12), (14, 31), (13, 22), (28, 11), (10, 32), (35, 20), (10, 36), (25, 35), (38, 12), (33, 23), (21, 4), (35, 26), (35, 22), (31, 32), (6, 8), (11, 25), (14, 14), (8, 9), (31, 27), (32, 15), (37, 21), (23, 15), (28, 19), (28, 12), (10, 8), (25, 5), (14, 28), (36, 32), (14, 22), (15, 22), (30, 37), (38, 33), (29, 38), (5, 37), (16, 7), (17, 3), (30, 34), (13, 29), (7, 12), (38, 31), (5, 26), (27, 10), (15, 20), (16, 25), (11, 2), (36, 19), (25, 24), (31, 7), (32, 16), (37, 15), (29, 23), (8, 1), (37, 28), (26, 34), (4, 24), (2, 15), (24, 29), (38, 27), (6, 30), (11, 28), (13, 2), (24, 33), (7, 13), (25, 14), (31, 2), (13, 12), (10, 29), (22, 1), (29, 34), (38, 21), (12, 31), (21, 34), (15, 28), (36, 0), (17, 20), (11, 10), (17, 10), (18, 24), (14, 2), (27, 14), (38, 32), (14, 15), (33, 11), (34, 32), (28, 8), (22, 15), (36, 1), (6, 6), (38, 6), (35, 16), (27, 11), (33, 17), (25, 23), (26, 32), (18, 21), (4, 0), (29, 10), (9, 32), (22, 24), (11, 18), (3, 2), (28, 33), (7, 29), (32, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 38x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 22), (15, 30), (21, 2), (34, 2), (23, 26), (21, 19), (34, 12), (18, 29), (11, 20), (0, 24), (25, 32), (16, 33), (23, 14), (10, 9), (32, 28), (8, 29), (1, 29), (0, 10), (27, 34), (10, 2), (12, 8), (35, 34), (28, 6), (1, 20), (24, 25), (33, 0), (31, 12), (25, 3), (28, 19), (35, 32), (33, 23), (26, 0), (22, 10), (19, 14), (2, 12), (36, 19), (29, 25), (16, 0), (19, 5), (14, 26), (15, 10), (19, 25), (36, 12), (4, 23), (2, 6), (23, 30), (9, 10), (4, 8), (1, 7), (31, 2), (9, 11), (28, 14), (23, 1), (23, 9), (11, 18), (8, 12), (12, 1), (35, 25), (32, 3), (37, 7), (33, 16), (14, 13), (33, 22), (16, 28), (3, 26), (37, 27), (1, 34), (25, 6), (32, 29), (24, 8), (7, 0), (22, 25), (7, 4), (14, 8), (4, 1), (26, 8), (6, 13), (7, 14), (35, 22), (29, 2), (25, 18), (12, 19), (16, 22), (0, 4), (22, 16), (28, 21), (35, 14), (37, 6), (25, 20), (37, 29), (7, 34), (15, 8), (18, 31), (30, 17), (34, 7), (32, 9), (7, 13), (8, 27), (10, 22), (23, 34), (35, 2), (21, 3), (16, 24), (30, 13), (20, 5), (34, 4), (27, 18), (5, 13), (18, 21), (21, 30), (28, 15), (5, 20), (33, 10), (25, 24), (6, 30), (7, 19), (26, 6), (29, 5), (2, 18), (37, 11), (8, 15), (29, 9), (25, 7), (18, 17), (21, 11), (17, 28), (27, 20), (30, 11), (25, 23), (5, 2), (14, 2), (10, 15), (32, 7), (30, 4), (1, 24), (13, 1), (11, 8), (20, 7), (8, 16), (0, 19), (26, 28), (29, 17), (16, 17), (21, 15), (28, 8), (37, 25), (21, 34), (5, 5), (26, 4), (19, 8), (26, 23), (36, 26), (1, 17), (29, 7), (18, 27), (4, 11), (19, 20), (12, 5), (13, 26), (18, 26), (36, 15), (33, 34), (7, 25), (18, 8), (24, 20), (32, 30), (0, 5), (24, 4), (13, 14), (8, 32), (18, 12), (36, 4), (11, 21), (22, 6), (29, 4), (10, 27), (35, 1), (27, 17), (6, 0), (35, 5), (24, 22), (9, 20), (29, 11), (19, 26), (7, 29), (12, 11), (21, 33), (11, 2), (31, 23), (23, 13), (12, 7), (22, 15), (36, 10), (24, 32), (22, 17), (1, 2), (20, 13), (22, 3), (24, 31), (3, 6), (27, 7), (2, 32), (4, 5), (23, 0), (5, 21), (24, 17), (14, 9), (26, 3), (21, 27), (9, 28), (29, 3), (34, 16), (2, 17), (30, 3), (7, 12), (9, 30), (13, 17), (36, 6), (35, 24), (2, 16), (2, 3), (26, 30), (13, 18), (15, 14), (6, 4), (19, 10), (9, 26), (5, 19), (30, 28), (6, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 31), (21, 27), (5, 27), (21, 31), (28, 19), (25, 3), (2, 30), (27, 7), (14, 32), (10, 26), (7, 20), (30, 13), (27, 32), (27, 28), (5, 2), (24, 12), (10, 6), (30, 21), (9, 26), (21, 6), (18, 31), (28, 24), (3, 4), (28, 1), (22, 13), (25, 2), (8, 16), (1, 15), (21, 16), (9, 24), (2, 3), (20, 15), (9, 15), (27, 14), (25, 4), (21, 13), (4, 13), (4, 14), (24, 16), (11, 25), (17, 3), (16, 10), (17, 8), (28, 5), (18, 4), (27, 9), (11, 13), (26, 30), (10, 22), (17, 29), (9, 2), (13, 32), (2, 1), (26, 27), (30, 24), (1, 22), (7, 25), (17, 15), (1, 11), (2, 6), (26, 26), (3, 16), (29, 27), (15, 28), (20, 31), (17, 12), (21, 8), (14, 21), (9, 5), (9, 29), (14, 26), (27, 8), (5, 4), (29, 17), (0, 25), (25, 7), (7, 12), (13, 11), (16, 11), (25, 6), (0, 32), (30, 23), (7, 26), (17, 21), (11, 5), (1, 4), (3, 25), (20, 29), (18, 17), (28, 13), (27, 1), (0, 3), (0, 24), (20, 26), (22, 10), (19, 19), (19, 1), (6, 11), (22, 16), (16, 14), (4, 25), (27, 31), (11, 28), (22, 14), (15, 14), (25, 31), (0, 22), (2, 31), (26, 11), (16, 15), (12, 26), (8, 12), (30, 5), (11, 15), (13, 27), (12, 29), (27, 10), (2, 17), (5, 21), (4, 11), (20, 4), (18, 8), (30, 10), (2, 26), (21, 11), (25, 19), (15, 1), (24, 27), (26, 29), (25, 23), (17, 4), (11, 9), (1, 23), (0, 4), (19, 8), (4, 9), (24, 14), (23, 15), (24, 28), (11, 12), (15, 30), (26, 28), (10, 3), (13, 18), (25, 18), (28, 0), (4, 4), (26, 25), (13, 25), (16, 18), (23, 24), (12, 8), (28, 12), (25, 30), (15, 11), (22, 28), (26, 2), (6, 23), (20, 18), (19, 22), (27, 17), (9, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 11), (10, 9), (14, 13), (21, 26), (4, 20), (20, 18), (9, 26), (15, 8), (9, 22), (18, 13), (6, 21), (12, 31), (22, 23), (18, 1), (15, 13), (1, 19), (13, 2), (7, 23), (23, 16), (21, 6), (5, 3), (18, 21), (14, 8), (5, 15), (26, 7), (25, 36), (4, 26), (24, 7), (29, 7), (22, 15), (5, 23), (16, 13), (22, 31), (9, 1), (26, 13), (5, 13), (15, 27), (10, 2), (21, 30), (17, 28), (3, 5), (14, 33), (25, 8), (22, 7), (26, 17), (5, 24), (14, 11), (6, 28), (26, 19), (6, 4), (22, 36), (23, 3), (15, 18), (1, 27), (12, 6), (23, 7), (15, 37), (14, 4), (29, 29), (25, 37), (26, 29), (5, 6), (17, 19), (29, 9), (8, 15), (20, 30), (8, 10), (21, 25), (12, 20), (2, 33), (4, 2), (4, 15), (24, 17), (28, 14), (19, 16), (27, 5), (25, 6), (10, 11), (7, 32), (9, 36), (25, 15), (23, 14), (1, 31), (17, 37), (28, 16), (21, 34), (9, 20), (8, 8), (14, 15), (12, 13), (21, 14), (23, 26), (23, 35), (25, 4), (3, 23), (18, 35), (2, 6), (0, 13), (22, 22), (1, 28), (20, 26), (6, 15), (22, 14), (7, 27), (25, 33), (29, 22), (18, 36), (28, 33), (9, 24), (20, 1), (25, 35), (23, 23), (8, 32), (19, 37), (4, 32), (20, 11), (27, 0), (7, 9), (9, 19), (5, 16), (6, 20), (2, 29), (17, 35), (24, 15), (27, 12), (29, 6), (22, 2), (25, 14), (28, 13), (0, 33), (26, 3), (6, 1), (8, 26), (20, 27), (18, 33), (15, 26), (23, 20), (18, 12), (17, 8), (24, 6), (21, 17), (5, 26), (28, 6), (4, 1), (17, 2), (27, 25), (26, 26), (21, 19), (29, 35), (8, 36), (12, 10), (28, 36), (11, 5), (7, 36), (6, 29), (11, 1), (20, 9), (8, 6), (16, 25), (5, 34), (28, 19), (13, 8), (6, 9), (11, 28), (10, 31), (4, 35), (21, 24), (3, 19), (24, 28), (8, 2), (29, 26), (21, 11), (25, 17), (6, 6), (7, 5), (5, 18), (2, 31), (5, 28), (6, 23), (12, 18), (17, 9), (1, 24), (12, 21), (21, 32), (18, 27), (17, 1), (27, 21), (20, 8), (2, 30), (6, 27), (3, 6), (11, 24), (7, 24), (1, 15), (19, 31), (14, 24), (29, 4), (19, 35), (5, 22), (22, 6), (17, 22), (17, 13), (28, 31), (23, 30), (4, 8), (0, 29), (24, 1), (14, 16), (4, 24), (18, 15), (5, 20), (0, 6), (29, 34), (10, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 30x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 2), (21, 28), (24, 33), (20, 21), (24, 27), (9, 34), (26, 20), (22, 30), (10, 9), (5, 16), (13, 23), (10, 19), (13, 34), (28, 24), (18, 32), (0, 5), (1, 31), (27, 3), (26, 28), (3, 3), (24, 31), (16, 24), (18, 24), (27, 22), (13, 5), (23, 33), (28, 32), (19, 0), (29, 31), (24, 26), (29, 26), (24, 20), (15, 20), (22, 21), (17, 8), (25, 22), (4, 32), (2, 16), (28, 17), (9, 23), (8, 8), (20, 5), (29, 1), (14, 30), (7, 12), (9, 1), (10, 21), (14, 31), (6, 29), (14, 0), (4, 12), (18, 13), (3, 19), (21, 15), (22, 18), (25, 24), (2, 12), (16, 14), (3, 33), (5, 7), (0, 9), (2, 20), (12, 33), (16, 26), (4, 29), (21, 5), (28, 1), (7, 26), (28, 5), (26, 26), (8, 29), (6, 3), (25, 20), (0, 28), (7, 21), (25, 35), (29, 18), (10, 22), (5, 19), (27, 28), (0, 22), (11, 3), (6, 17), (6, 33), (2, 31), (9, 30), (16, 16), (0, 29), (25, 13), (21, 31), (22, 11), (11, 8), (16, 25), (3, 12), (1, 12), (23, 5), (29, 4), (14, 35), (10, 7), (14, 28), (20, 0), (22, 12), (11, 24), (22, 5), (7, 9), (7, 35), (3, 32), (18, 27), (10, 33), (0, 23), (25, 14), (10, 20), (25, 32), (26, 21), (5, 17), (18, 31), (13, 17), (16, 1), (23, 29), (12, 27), (24, 13), (24, 18), (8, 20), (10, 0), (26, 6), (1, 22), (21, 32), (2, 27), (25, 11), (4, 5), (27, 2), (5, 10), (11, 11), (19, 14), (0, 13), (0, 18), (16, 10), (3, 14), (23, 30), (23, 4), (11, 21), (21, 26), (16, 28), (2, 30), (19, 30), (22, 35), (19, 13), (23, 9), (17, 25), (23, 13), (14, 7), (25, 28), (28, 34), (0, 3), (11, 2), (25, 31), (28, 27), (20, 19), (17, 11), (8, 11), (7, 18), (2, 32), (0, 16), (25, 9), (0, 35), (5, 9), (6, 4), (21, 2), (14, 29), (5, 13), (24, 29), (9, 16), (28, 23), (25, 3), (12, 0), (8, 33), (19, 6), (8, 1), (26, 10), (18, 9), (21, 33), (4, 7), (25, 10), (28, 18), (29, 15), (10, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 33x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 24), (26, 24), (27, 17), (15, 6), (19, 0), (28, 33), (13, 10), (18, 23), (27, 33), (17, 2), (9, 9), (30, 3), (27, 27), (29, 35), (25, 23), (20, 20), (14, 5), (12, 29), (2, 2), (1, 22), (22, 35), (23, 23), (19, 28), (28, 23), (25, 0), (4, 28), (22, 5), (4, 34), (4, 33), (29, 28), (28, 13), (2, 11), (18, 8), (8, 22), (31, 21), (31, 15), (30, 10), (9, 5), (13, 8), (6, 14), (15, 7), (16, 26), (28, 1), (16, 27), (31, 10), (28, 5), (24, 13), (5, 23), (22, 22), (29, 4), (15, 29), (26, 14), (29, 21), (0, 29), (12, 34), (5, 29), (13, 27), (12, 6), (30, 12), (9, 2), (7, 19), (7, 23), (29, 30), (15, 18), (12, 27), (1, 25), (2, 5), (31, 7), (23, 0), (17, 3), (11, 11), (32, 19), (28, 20), (29, 22), (21, 5), (12, 16), (29, 3), (15, 23), (19, 8), (11, 29), (27, 8), (2, 26), (2, 0), (18, 26), (12, 10), (21, 30), (22, 26), (13, 7), (25, 7), (5, 10), (27, 31), (8, 34), (5, 33), (19, 9), (17, 28), (0, 7), (24, 19), (25, 33), (0, 18), (11, 2), (16, 10), (3, 23), (2, 30), (0, 3), (26, 33), (5, 0), (20, 14), (31, 16), (20, 18), (16, 23), (16, 19), (19, 6), (5, 21), (24, 35), (11, 35), (5, 13), (26, 21), (21, 17), (3, 27), (3, 30), (23, 32), (14, 8), (3, 18), (6, 23), (29, 26), (28, 4), (2, 32), (12, 11), (18, 1), (14, 21), (7, 0), (0, 21), (20, 26), (32, 14), (5, 5), (10, 7), (24, 11), (18, 2), (23, 35), (16, 34), (25, 32), (32, 9), (1, 34), (0, 22), (18, 19), (26, 7), (1, 21), (12, 24), (10, 0), (4, 19), (18, 3), (19, 17), (25, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 1), (14, 19), (31, 35), (11, 14), (34, 23), (19, 33), (15, 31), (2, 18), (0, 27), (29, 34), (30, 28), (10, 29), (24, 3), (14, 7), (2, 26), (5, 19), (5, 17), (15, 22), (6, 26), (31, 4), (18, 20), (18, 31), (17, 23), (18, 22), (28, 14), (9, 24), (15, 33), (0, 1), (20, 7), (8, 34), (23, 11), (19, 15), (13, 14), (19, 19), (1, 10), (3, 26), (18, 1), (23, 22), (29, 15), (21, 22), (33, 24), (7, 25), (12, 37), (14, 27), (23, 26), (7, 19), (18, 33), (29, 22), (2, 11), (8, 12), (27, 0), (4, 33), (31, 3), (33, 20), (34, 1), (11, 12), (19, 5), (10, 12), (15, 13), (32, 26), (5, 6), (14, 31), (34, 17), (0, 29), (2, 22), (25, 23), (30, 8), (15, 25), (23, 37), (33, 30), (4, 14), (21, 17), (23, 23), (12, 35), (13, 17), (8, 5), (23, 29), (4, 35), (7, 10), (18, 7), (26, 29), (9, 16), (18, 30), (12, 24), (0, 15), (12, 25), (8, 24), (33, 2), (24, 25), (14, 28), (13, 34), (7, 32), (0, 28), (7, 3), (1, 20), (27, 13), (31, 1), (21, 6), (11, 32), (15, 11), (17, 32), (17, 16), (1, 13), (22, 35), (14, 22), (26, 26), (11, 9), (25, 2), (27, 9), (33, 0), (31, 11), (29, 27), (33, 23), (23, 34), (10, 9), (32, 33), (8, 14), (19, 14), (20, 27), (27, 18), (5, 18), (16, 33), (25, 17), (19, 31), (14, 25), (4, 5), (16, 6), (34, 14), (5, 33), (15, 1), (14, 37), (5, 23), (22, 18), (33, 36), (8, 1), (3, 17), (20, 20), (25, 14), (24, 14), (27, 23), (7, 22), (16, 18), (9, 28), (27, 34), (0, 10), (31, 33), (5, 35), (0, 9), (22, 13), (24, 18), (27, 29), (21, 9), (13, 12), (25, 36), (10, 8), (26, 24), (32, 21), (13, 37), (20, 6), (29, 7), (26, 19), (4, 3), (20, 9), (14, 33), (1, 9), (3, 8), (20, 37), (5, 1), (15, 37), (20, 36), (19, 11), (32, 11), (0, 12), (7, 13), (27, 31), (28, 16), (3, 32), (14, 8), (27, 2), (4, 6), (2, 19), (3, 24), (13, 20), (4, 20), (28, 35), (3, 14), (32, 2), (9, 2), (30, 23), (13, 1), (30, 33), (1, 5), (24, 16), (28, 10), (4, 11), (30, 20), (16, 9), (20, 15), (31, 24), (24, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 28), (27, 26), (4, 7), (17, 7), (18, 33), (3, 3), (20, 9), (0, 5), (13, 10), (9, 2), (4, 24), (25, 34), (2, 24), (6, 3), (25, 32), (4, 5), (20, 34), (21, 27), (14, 23), (22, 6), (15, 32), (10, 10), (29, 28), (15, 5), (22, 7), (29, 23), (22, 32), (15, 29), (13, 16), (5, 12), (18, 23), (27, 23), (10, 21), (26, 9), (4, 11), (10, 12), (29, 4), (15, 12), (8, 21), (4, 29), (25, 21), (16, 30), (19, 11), (30, 16), (22, 15), (27, 11), (16, 15), (10, 34), (2, 26), (5, 31), (14, 3), (26, 5), (8, 8), (14, 1), (12, 12), (19, 33), (3, 29), (30, 27), (21, 3), (0, 18), (16, 27), (6, 27), (23, 28), (9, 0), (17, 34), (19, 21), (13, 3), (22, 16), (10, 31), (11, 34), (29, 15), (8, 9), (24, 30), (15, 30), (9, 20), (1, 12), (26, 2), (18, 7), (27, 13), (2, 2), (27, 27), (28, 4), (6, 34), (10, 3), (0, 9), (17, 27), (11, 9), (1, 14), (8, 6), (22, 21), (10, 6), (17, 5), (22, 30), (1, 29), (15, 19), (23, 15), (28, 7), (17, 20), (4, 10), (30, 22), (17, 14), (24, 6), (30, 4), (3, 26), (9, 22), (7, 26), (12, 26), (17, 33), (25, 1), (15, 17), (8, 32), (4, 15), (13, 22), (8, 18), (2, 25), (7, 4), (16, 13), (28, 22), (1, 11), (14, 19), (25, 2), (18, 8), (4, 12), (4, 4), (6, 26), (18, 9), (11, 15), (12, 27), (6, 10), (8, 7), (3, 10), (18, 34), (22, 29), (26, 11), (9, 29), (1, 33), (3, 6), (24, 4), (24, 15), (5, 19), (1, 15), (16, 18), (5, 2), (0, 24), (30, 30), (0, 29), (14, 34), (10, 22), (6, 12), (7, 33), (27, 31), (5, 25), (10, 30), (26, 30), (6, 32), (27, 3), (29, 30), (0, 30), (30, 2), (19, 0), (2, 29), (1, 18), (3, 4), (29, 29), (23, 27), (7, 21), (15, 31), (6, 8), (23, 18), (28, 19), (7, 10), (27, 1), (9, 12), (3, 12), (9, 33), (1, 24), (20, 19), (13, 9), (8, 12), (8, 14), (15, 4), (18, 6), (8, 22), (28, 32), (17, 25), (18, 17), (19, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 37x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 14), (11, 19), (15, 29), (8, 22), (8, 0), (14, 31), (3, 4), (20, 12), (15, 31), (1, 8), (23, 4), (33, 27), (13, 2), (35, 15), (8, 21), (10, 18), (27, 17), (22, 2), (26, 21), (1, 25), (29, 7), (32, 19), (29, 17), (17, 4), (12, 15), (29, 3), (28, 10), (10, 23), (10, 5), (12, 8), (25, 20), (17, 18), (21, 13), (19, 27), (3, 9), (13, 0), (19, 19), (28, 16), (27, 24), (25, 29), (18, 16), (3, 12), (3, 26), (6, 23), (11, 15), (8, 24), (19, 23), (33, 7), (17, 31), (28, 13), (10, 8), (30, 21), (28, 20), (15, 3), (2, 10), (0, 4), (7, 9), (8, 8), (6, 24), (13, 24), (33, 30), (13, 7), (14, 19), (35, 26), (31, 9), (6, 0), (12, 21), (25, 17), (18, 6), (14, 20), (24, 2), (17, 7), (5, 12), (0, 21), (26, 30), (18, 0), (8, 2), (0, 9), (29, 24), (13, 27), (3, 24), (4, 18), (22, 8), (3, 10), (0, 22), (9, 11), (9, 19), (14, 24), (10, 20), (21, 17), (27, 5), (1, 9), (16, 30), (28, 30), (6, 3), (14, 22), (22, 26), (1, 4), (32, 30), (26, 11), (4, 9), (28, 21), (2, 21), (22, 30), (19, 10), (29, 20), (27, 1), (19, 17), (17, 27), (4, 1), (1, 2), (4, 17), (15, 12), (23, 0), (24, 8), (28, 1), (24, 11), (10, 25), (24, 27), (10, 27), (35, 13), (29, 15), (14, 4), (3, 13), (21, 23), (26, 5), (32, 10), (20, 30), (32, 13), (31, 20), (35, 31), (22, 27), (14, 17), (25, 10), (15, 25), (7, 7), (7, 18), (14, 18), (31, 28), (27, 15), (27, 18), (25, 4), (21, 6), (7, 15), (12, 9), (14, 28), (19, 18), (16, 1), (21, 14), (1, 26), (2, 11), (18, 9), (21, 3), (18, 23), (4, 13), (5, 25), (35, 14), (15, 24), (10, 2), (17, 1), (2, 26), (31, 5), (14, 10), (1, 29), (8, 4), (30, 31), (31, 19), (20, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 21), (33, 23), (4, 26), (37, 20), (15, 20), (5, 4), (19, 26), (7, 5), (15, 19), (3, 18), (22, 5), (26, 6), (12, 14), (12, 22), (30, 28), (17, 27), (34, 20), (4, 9), (12, 1), (35, 1), (15, 27), (17, 12), (24, 27), (22, 4), (19, 13), (1, 27), (35, 12), (20, 17), (7, 6), (30, 16), (13, 27), (1, 4), (13, 15), (9, 1), (33, 26), (26, 25), (19, 16), (36, 15), (34, 19), (26, 2), (8, 10), (28, 26), (2, 26), (32, 3), (8, 5), (12, 2), (30, 19), (35, 8), (9, 24), (4, 29), (12, 4), (37, 8), (15, 29), (9, 25), (25, 15), (25, 24), (6, 11), (29, 11), (10, 24), (20, 1), (17, 2), (2, 19), (18, 24), (11, 17), (11, 19), (23, 0), (31, 17), (15, 3), (11, 20), (13, 11), (19, 6), (11, 4), (7, 24), (31, 18), (2, 6), (37, 21), (33, 6), (18, 9), (10, 8), (5, 10), (7, 23), (16, 16), (15, 2), (28, 25), (27, 28), (12, 20), (28, 5), (21, 13), (7, 13), (25, 10), (3, 26), (6, 19), (14, 6), (3, 5), (30, 10), (31, 14), (2, 5), (14, 5), (6, 5), (23, 19), (18, 18), (30, 25), (24, 9), (24, 28), (16, 12), (28, 11), (12, 19), (30, 15), (7, 12), (16, 1), (22, 25), (14, 9), (23, 25), (21, 9), (19, 10), (35, 26), (2, 28), (6, 27), (0, 20), (1, 29), (5, 20), (16, 14), (23, 18), (3, 16), (0, 18), (21, 21), (24, 19), (27, 4), (25, 19), (37, 14), (15, 13), (11, 13), (18, 20), (22, 27), (16, 18), (29, 20), (15, 12), (29, 8), (17, 29), (25, 6), (32, 11), (36, 2), (27, 5), (14, 25), (28, 3), (1, 12), (32, 0), (19, 15), (35, 6), (1, 5), (33, 22), (25, 5), (6, 29), (0, 28), (30, 21), (15, 26), (21, 16), (14, 3), (32, 25), (21, 26), (6, 24), (18, 12), (10, 6), (28, 23), (8, 27), (34, 3), (23, 27), (18, 26), (13, 18), (21, 28), (12, 6), (25, 7), (12, 27), (34, 23), (35, 5), (18, 8), (26, 17), (32, 28), (35, 13), (13, 26), (16, 25), (20, 3), (1, 20), (9, 4), (32, 7), (23, 6), (4, 16), (8, 3), (0, 13), (34, 5), (23, 15), (32, 13), (11, 23), (5, 17), (13, 28), (25, 25), (37, 0), (9, 15), (36, 10), (32, 19), (8, 22), (12, 16), (9, 16), (16, 17), (25, 1), (4, 11), (36, 3), (28, 28), (31, 21), (24, 1), (22, 15), (30, 23), (37, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 21), (18, 27), (6, 27), (17, 7), (20, 16), (22, 21), (17, 2), (1, 32), (6, 28), (13, 27), (16, 20), (6, 5), (18, 35), (18, 21), (6, 10), (17, 15), (23, 3), (23, 17), (30, 33), (11, 7), (25, 1), (15, 28), (30, 9), (24, 14), (0, 24), (4, 9), (32, 1), (30, 20), (9, 12), (12, 18), (15, 9), (20, 36), (13, 7), (16, 27), (31, 3), (26, 32), (22, 16), (13, 5), (24, 31), (7, 29), (11, 19), (10, 5), (17, 0), (27, 32), (12, 33), (26, 25), (4, 6), (14, 30), (10, 32), (8, 1), (7, 33), (29, 35), (15, 33), (2, 33), (29, 5), (15, 13), (4, 11), (13, 3), (3, 0), (6, 35), (8, 31), (6, 20), (32, 33), (21, 0), (31, 9), (5, 19), (1, 2), (18, 2), (8, 21), (15, 30), (7, 10), (4, 24), (17, 18), (13, 12), (18, 25), (31, 22), (25, 9), (24, 22), (23, 24), (1, 15), (3, 23), (7, 3), (10, 1), (4, 19), (22, 15), (32, 4), (30, 23), (12, 12), (25, 29), (18, 7), (32, 8), (20, 32), (8, 2), (26, 17), (21, 36), (31, 16), (24, 20), (14, 12), (11, 9), (7, 34), (19, 17), (27, 18), (24, 26), (9, 13), (5, 5), (1, 20), (30, 4), (21, 2), (10, 8), (31, 28), (26, 27), (21, 5), (3, 9), (18, 17), (5, 22), (2, 36), (15, 26), (30, 8), (7, 12), (29, 28), (29, 8), (2, 1), (21, 22), (13, 19), (1, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 22), (21, 9), (30, 15), (7, 21), (35, 30), (33, 29), (11, 5), (20, 27), (31, 26), (10, 29), (31, 18), (14, 1), (17, 20), (27, 19), (14, 5), (15, 29), (30, 17), (16, 4), (16, 18), (17, 13), (18, 10), (19, 11), (11, 30), (27, 28), (27, 16), (25, 2), (31, 9), (16, 33), (23, 9), (30, 26), (15, 30), (8, 8), (26, 8), (15, 8), (0, 32), (16, 25), (23, 8), (20, 33), (5, 25), (13, 13), (13, 26), (19, 33), (18, 21), (27, 32), (9, 21), (27, 4), (11, 2), (9, 18), (19, 14), (11, 31), (29, 21), (26, 23), (12, 2), (26, 7), (3, 25), (10, 18), (6, 4), (11, 26), (24, 13), (34, 11), (11, 15), (2, 19), (1, 3), (33, 7), (32, 5), (35, 15), (12, 7), (7, 19), (4, 16), (12, 8), (4, 22), (6, 22), (17, 22), (17, 25), (33, 17), (13, 0), (5, 9), (34, 28), (33, 6), (29, 3), (30, 11), (13, 23), (12, 25), (15, 33), (19, 0), (12, 19), (21, 1), (24, 8), (18, 28), (1, 11), (12, 26), (31, 10), (5, 27), (35, 25), (4, 1), (8, 18), (2, 6), (33, 25), (2, 3), (13, 4), (2, 14), (28, 29), (27, 21), (24, 21), (2, 22), (35, 11), (32, 18), (8, 31), (26, 2), (2, 4), (16, 13), (32, 15), (0, 10), (22, 29), (4, 29), (26, 15), (20, 26), (1, 27), (4, 25), (22, 33), (22, 20), (1, 28), (4, 10), (7, 17), (18, 30), (26, 6), (12, 20), (24, 4), (7, 12), (26, 13), (25, 20), (26, 11), (17, 26), (18, 18), (16, 19), (19, 28), (17, 0), (32, 30), (23, 27), (24, 32), (17, 31), (34, 24), (29, 7), (19, 23), (11, 32), (5, 29), (10, 15), (5, 15), (6, 0), (19, 25), (4, 33), (6, 24), (5, 19), (25, 33), (23, 33), (6, 26), (13, 25), (6, 30), (32, 20), (25, 12), (14, 29), (7, 25), (28, 23), (16, 29), (20, 21), (29, 26), (9, 1), (28, 10), (3, 5), (25, 19), (6, 16), (3, 29), (7, 29), (33, 28), (35, 12), (6, 29), (16, 5), (19, 27), (14, 4), (6, 6), (34, 5), (19, 13), (9, 2), (22, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 10), (4, 26), (23, 24), (17, 13), (31, 12), (26, 24), (27, 1), (23, 28), (19, 14), (25, 7), (3, 25), (12, 11), (28, 28), (2, 9), (27, 18), (27, 21), (8, 23), (6, 22), (29, 20), (14, 19), (24, 21), (12, 22), (4, 21), (14, 6), (26, 9), (13, 29), (2, 15), (6, 4), (0, 14), (5, 29), (11, 19), (28, 23), (5, 19), (6, 23), (31, 7), (12, 23), (9, 21), (12, 5), (31, 16), (3, 13), (2, 22), (7, 2), (27, 13), (3, 9), (11, 26), (3, 8), (19, 10), (23, 27), (0, 30), (1, 22), (26, 13), (11, 13), (21, 19), (19, 8), (16, 13), (6, 1), (31, 27), (18, 17), (28, 17), (22, 28), (17, 14), (28, 5), (22, 19), (18, 10), (30, 6), (11, 4), (4, 17), (31, 8), (27, 26), (18, 24), (31, 1), (18, 12), (15, 12), (30, 22), (10, 20), (16, 15), (20, 17), (3, 29), (20, 1), (25, 0), (21, 29), (17, 30), (1, 2), (17, 28), (25, 17), (29, 21), (32, 10), (32, 28), (5, 9), (2, 16), (4, 12), (24, 24), (32, 2), (28, 9), (14, 1), (17, 5), (15, 17), (5, 18), (25, 12), (0, 2), (0, 23), (8, 25), (22, 11), (17, 29), (8, 7), (19, 20), (28, 8), (20, 8), (26, 18), (1, 27), (21, 0), (15, 30), (23, 3), (16, 29), (4, 18), (8, 1), (25, 24), (11, 27), (17, 8), (8, 6), (13, 28), (12, 8), (11, 11), (15, 18), (32, 19), (13, 12), (25, 1), (7, 11), (4, 16), (26, 2), (1, 15), (32, 27), (13, 18), (23, 18), (5, 2), (32, 0), (8, 13), (20, 28), (6, 5), (18, 28), (29, 30), (20, 6), (16, 17), (28, 11), (32, 11), (31, 20), (22, 23), (18, 11), (2, 11), (23, 22), (28, 3), (27, 0), (21, 4), (2, 20), (11, 23), (31, 29), (4, 24), (32, 5), (18, 25), (29, 15), (12, 9), (4, 22), (31, 25), (4, 0), (23, 13), (13, 1), (24, 19), (32, 14), (13, 21), (21, 28), (21, 3), (18, 29), (27, 30), (1, 12), (18, 30), (5, 7), (21, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 34x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 23), (28, 21), (22, 24), (2, 16), (5, 23), (16, 13), (24, 1), (25, 27), (28, 27), (5, 31), (12, 21), (25, 11), (13, 24), (19, 5), (13, 28), (9, 27), (26, 2), (21, 19), (12, 25), (33, 24), (12, 30), (30, 4), (19, 6), (29, 31), (28, 5), (29, 24), (1, 16), (19, 30), (7, 30), (28, 13), (9, 21), (20, 6), (2, 13), (28, 24), (3, 5), (20, 26), (13, 1), (32, 29), (22, 12), (10, 11), (18, 22), (21, 17), (22, 15), (18, 11), (11, 6), (3, 23), (5, 2), (22, 31), (32, 12), (21, 7), (16, 9), (4, 3), (31, 20), (32, 28), (3, 28), (12, 20), (32, 11), (23, 2), (16, 25), (19, 2), (31, 17), (8, 0), (20, 9), (33, 22), (17, 30), (25, 9), (7, 22), (19, 19), (21, 25), (19, 13), (27, 4), (10, 2), (25, 28), (14, 18), (13, 31), (2, 24), (22, 5), (8, 24), (26, 28), (5, 11), (5, 3), (6, 3), (32, 15), (29, 9), (5, 22), (11, 16), (1, 29), (3, 17), (18, 2), (4, 19), (20, 27), (12, 11), (19, 8), (1, 15), (1, 13), (24, 11), (9, 0), (11, 26), (4, 28), (23, 21), (28, 30), (2, 15), (25, 12), (2, 17), (27, 6), (7, 19), (1, 27), (23, 25), (14, 5), (16, 16), (6, 30), (32, 10), (0, 31), (32, 8), (30, 30), (16, 28), (4, 8), (15, 2), (23, 15), (17, 3), (4, 29), (10, 21), (25, 31), (3, 7), (7, 13), (14, 9), (14, 8), (26, 15), (4, 10), (20, 30), (19, 23), (14, 30), (0, 14), (15, 13), (2, 1), (33, 17), (0, 18), (29, 11), (26, 27), (3, 6), (15, 1), (18, 4), (4, 12), (19, 27), (6, 20), (25, 30), (23, 30), (22, 21), (9, 9), (27, 14), (10, 1), (3, 30), (32, 4), (31, 16), (19, 7), (19, 14), (8, 22), (13, 15), (1, 31), (6, 29), (3, 4), (10, 14), (8, 11), (27, 16), (5, 21), (20, 17), (17, 4), (1, 3), (15, 14), (32, 16), (29, 16), (21, 12), (18, 7), (14, 4), (29, 0), (20, 18), (26, 30), (19, 26), (1, 17), (25, 24), (1, 6), (25, 5), (26, 6), (0, 23), (9, 8), (4, 22), (28, 16), (11, 28), (25, 16), (10, 3), (24, 16), (18, 6), (21, 5), (31, 28), (13, 12), (18, 31), (32, 22), (22, 26), (33, 2), (8, 14), (26, 9), (2, 12), (10, 25), (7, 12), (20, 31), (29, 30), (28, 2), (22, 25), (7, 28), (4, 25), (8, 15), (33, 1), (18, 21), (10, 23), (28, 9), (25, 20), (3, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 20), (10, 19), (33, 30), (17, 17), (28, 25), (17, 34), (30, 36), (13, 33), (9, 10), (10, 22), (30, 15), (16, 14), (3, 2), (3, 19), (2, 28), (32, 16), (21, 21), (13, 34), (26, 15), (2, 13), (8, 14), (8, 15), (4, 1), (19, 17), (31, 33), (23, 35), (22, 22), (27, 5), (8, 33), (19, 10), (36, 35), (34, 1), (32, 20), (20, 1), (23, 21), (1, 18), (7, 23), (2, 35), (4, 24), (26, 34), (8, 19), (3, 10), (3, 11), (24, 26), (15, 19), (33, 17), (6, 28), (20, 30), (35, 4), (29, 14), (19, 25), (6, 23), (21, 3), (12, 10), (5, 26), (23, 8), (36, 0), (9, 24), (13, 22), (18, 37), (2, 11), (30, 23), (4, 33), (3, 9), (29, 32), (27, 25), (28, 6), (37, 30), (12, 28), (10, 17), (9, 8), (26, 16), (17, 9), (26, 6), (8, 30), (17, 29), (5, 36), (19, 0), (24, 24), (34, 37), (19, 2), (22, 4), (37, 5), (37, 7), (0, 30), (7, 12), (28, 36), (11, 3), (8, 2), (7, 15), (25, 23), (2, 5), (36, 15), (18, 26), (37, 9), (6, 5), (18, 20), (28, 20), (16, 10), (33, 36), (5, 32), (27, 28), (31, 6), (13, 25), (20, 3), (18, 3), (4, 14), (13, 2), (32, 34), (23, 32), (29, 19), (9, 32), (17, 12), (29, 15), (20, 13), (17, 19), (35, 28), (14, 12), (28, 28), (12, 19), (18, 5), (9, 31), (30, 13), (18, 24), (32, 26), (17, 11), (8, 12), (3, 8), (26, 23), (35, 32), (19, 37), (29, 21), (9, 22), (36, 36), (10, 35), (36, 34), (24, 37), (28, 7), (14, 15), (2, 17), (8, 3), (5, 34), (19, 33), (35, 19), (8, 22), (29, 13), (33, 18), (32, 35), (16, 25), (7, 5), (0, 11), (5, 23), (32, 17), (18, 28), (8, 8), (16, 7), (6, 22), (7, 26), (14, 5), (16, 35), (10, 25), (35, 31), (24, 9), (16, 0), (7, 30), (25, 0), (26, 9), (18, 32), (32, 18), (12, 5), (36, 21), (37, 16), (33, 13), (17, 0), (7, 13), (1, 10), (16, 2), (6, 1), (3, 29), (30, 19), (33, 26), (3, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 13), (18, 14), (0, 33), (29, 14), (17, 12), (14, 2), (13, 26), (30, 2), (34, 15), (27, 18), (13, 14), (25, 14), (10, 17), (27, 22), (26, 18), (34, 25), (28, 26), (12, 17), (6, 22), (21, 13), (26, 26), (31, 2), (1, 7), (17, 19), (28, 13), (30, 32), (13, 4), (31, 0), (18, 5), (2, 0), (20, 20), (17, 2), (0, 20), (10, 18), (11, 26), (24, 23), (37, 27), (31, 8), (5, 3), (24, 17), (7, 34), (29, 34), (2, 20), (0, 11), (22, 3), (23, 11), (29, 5), (7, 19), (2, 24), (30, 0), (20, 28), (21, 0), (0, 3), (33, 20), (2, 7), (11, 9), (25, 35), (30, 21), (10, 0), (24, 19), (37, 20), (33, 27), (16, 10), (33, 16), (20, 16), (26, 32), (2, 34), (3, 3), (30, 24), (27, 31), (25, 2), (7, 6), (22, 27), (3, 11), (24, 25), (25, 19), (24, 26), (13, 19), (20, 7), (17, 26), (10, 3), (18, 18), (14, 15), (12, 23), (24, 20), (16, 27), (9, 33), (4, 11), (16, 32), (1, 14), (16, 22), (9, 8), (9, 20), (15, 32), (8, 8), (21, 34), (20, 12), (32, 1), (33, 33), (25, 11), (3, 28), (30, 33), (32, 29), (37, 0), (36, 0), (8, 2), (12, 2), (7, 20), (7, 17), (6, 26), (5, 18), (16, 33), (12, 26), (24, 35), (30, 11), (35, 13), (7, 1), (24, 14), (31, 17), (9, 26), (27, 17), (27, 32), (7, 23), (25, 25), (18, 15), (37, 25), (8, 30), (27, 9), (34, 26), (30, 30), (18, 10), (27, 26), (22, 13), (27, 7), (19, 0), (31, 26), (6, 19), (10, 1), (17, 17), (28, 28), (8, 23), (22, 35), (2, 18), (23, 12), (0, 6), (26, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 8), (27, 25), (1, 17), (27, 19), (7, 34), (30, 19), (13, 32), (11, 8), (26, 13), (11, 32), (25, 21), (14, 11), (31, 12), (1, 12), (26, 20), (1, 22), (28, 33), (13, 5), (20, 22), (10, 22), (23, 27), (14, 26), (22, 35), (21, 34), (23, 6), (25, 18), (30, 13), (6, 17), (15, 12), (20, 32), (14, 29), (13, 25), (9, 6), (2, 18), (11, 16), (8, 7), (6, 7), (27, 28), (5, 22), (9, 23), (14, 14), (18, 18), (21, 12), (2, 3), (10, 18), (3, 13), (0, 14), (8, 25), (5, 11), (4, 20), (8, 17), (13, 21), (0, 19), (28, 20), (27, 21), (28, 14), (22, 22), (22, 16), (22, 27), (17, 34), (7, 13), (12, 1), (4, 17), (23, 10), (22, 25), (24, 7), (20, 2), (12, 34), (13, 10), (21, 0), (4, 32), (12, 4), (5, 8), (0, 22), (23, 32), (29, 3), (11, 25), (2, 31), (14, 2), (19, 2), (28, 22), (2, 24), (21, 31), (3, 8), (15, 3), (20, 17), (2, 28), (31, 24), (20, 0), (7, 32), (5, 30), (7, 15), (14, 10), (16, 30), (11, 14), (5, 13), (0, 23), (22, 17), (20, 20), (9, 30), (30, 18), (30, 22), (14, 5), (4, 33), (19, 34), (15, 23), (11, 24), (12, 27), (29, 30), (14, 19), (11, 35), (23, 29), (2, 14), (0, 35), (26, 5), (24, 1), (7, 18), (12, 16), (25, 34), (1, 28), (29, 10), (15, 1), (23, 20), (28, 9), (24, 25), (14, 21), (21, 26), (9, 15), (30, 0), (5, 29), (12, 15), (26, 7), (10, 25), (11, 15), (16, 15), (0, 29), (10, 27), (28, 15), (8, 33), (16, 3), (24, 30), (24, 26), (7, 4), (21, 22), (2, 15), (9, 16), (1, 4), (31, 6), (1, 15), (12, 21), (12, 28), (31, 1), (5, 10), (12, 10), (4, 4), (24, 16), (25, 16), (9, 19), (28, 2), (31, 22), (14, 1), (19, 28), (15, 14), (0, 28), (14, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 3), (14, 15), (31, 17), (29, 34), (15, 30), (27, 6), (16, 19), (5, 13), (9, 19), (17, 15), (18, 26), (30, 16), (19, 16), (12, 34), (9, 36), (21, 3), (15, 16), (30, 0), (20, 22), (13, 33), (0, 36), (5, 36), (33, 6), (9, 16), (3, 30), (8, 17), (3, 14), (20, 6), (10, 1), (6, 1), (16, 32), (6, 8), (10, 12), (8, 19), (2, 30), (24, 9), (8, 20), (1, 14), (16, 24), (4, 17), (7, 27), (9, 10), (12, 17), (14, 24), (11, 23), (6, 3), (6, 11), (5, 28), (19, 15), (7, 0), (31, 35), (9, 21), (2, 25), (19, 20), (0, 33), (15, 18), (28, 28), (15, 13), (27, 35), (18, 19), (1, 3), (0, 11), (14, 5), (17, 32), (27, 22), (9, 35), (32, 1), (29, 7), (18, 9), (22, 26), (7, 22), (4, 8), (23, 21), (30, 21), (33, 16), (32, 33), (0, 22), (15, 37), (4, 4), (27, 26), (7, 15), (27, 1), (28, 35), (1, 29), (25, 17), (15, 24), (28, 8), (8, 21), (6, 15), (22, 23), (10, 6), (2, 0), (4, 35), (26, 29), (1, 6), (5, 23), (28, 2), (1, 2), (19, 31), (22, 2), (17, 20), (27, 25), (10, 5), (21, 30), (25, 29), (12, 15), (20, 12), (22, 12), (7, 32), (21, 25), (28, 18), (20, 10), (22, 27), (15, 25), (19, 37), (1, 36), (29, 11), (20, 33), (3, 5), (23, 12), (5, 6), (24, 20), (24, 29), (1, 21), (14, 28), (8, 28), (18, 30), (9, 24), (17, 19), (3, 7), (13, 30), (27, 15), (8, 2), (7, 14), (11, 10), (0, 18), (17, 13), (4, 9), (23, 31), (9, 2), (28, 9), (30, 25), (22, 31), (11, 20), (8, 11), (29, 17), (3, 0), (16, 14), (8, 23), (13, 36), (4, 29), (23, 37), (31, 21), (13, 11), (23, 20), (3, 31), (14, 17), (28, 0), (12, 8), (30, 24), (22, 4), (3, 33), (31, 6), (27, 24), (8, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 12), (7, 7), (19, 13), (16, 8), (26, 9), (10, 19), (29, 17), (7, 10), (18, 3), (15, 8), (6, 24), (11, 24), (6, 0), (21, 13), (15, 30), (29, 26), (12, 27), (17, 13), (28, 4), (28, 7), (12, 23), (30, 2), (30, 27), (10, 28), (2, 14), (10, 22), (9, 3), (9, 8), (16, 25), (17, 1), (12, 18), (31, 10), (15, 3), (18, 18), (13, 14), (25, 8), (1, 14), (20, 17), (12, 5), (1, 2), (8, 2), (17, 30), (2, 5), (11, 18), (2, 25), (20, 11), (4, 16), (26, 17), (7, 11), (25, 9), (9, 29), (14, 7), (2, 28), (20, 30), (3, 17), (4, 22), (11, 25), (15, 29), (5, 12), (8, 26), (32, 10), (30, 8), (17, 22), (12, 7), (30, 29), (22, 21), (7, 15), (12, 30), (25, 7), (21, 16), (8, 17), (17, 9), (7, 12), (20, 25), (14, 22), (24, 19), (25, 16), (8, 23), (3, 11), (12, 12), (17, 5), (14, 19), (20, 7), (21, 30), (15, 21), (12, 3), (14, 0), (27, 9), (17, 18), (23, 6), (3, 20), (29, 18), (5, 30), (0, 1), (0, 26), (30, 10), (6, 26), (27, 22), (0, 6), (32, 2), (13, 10), (8, 28), (25, 29), (0, 2), (23, 18), (11, 23), (10, 10), (31, 17), (12, 0), (26, 22), (22, 5), (12, 17), (29, 19), (11, 0), (18, 15), (8, 1), (17, 26), (27, 2), (25, 17), (1, 20), (14, 1), (9, 20), (24, 4), (2, 6), (10, 16), (15, 19), (11, 10), (1, 24), (3, 12), (17, 11), (24, 8), (5, 4), (10, 17), (9, 12), (25, 6), (6, 2), (24, 7), (21, 3), (31, 25), (29, 7), (20, 9), (15, 26), (20, 15), (18, 11), (25, 25), (4, 23), (19, 0), (31, 15), (6, 25), (7, 30), (28, 12), (22, 28), (20, 16), (1, 13), (20, 28), (4, 2), (0, 12), (17, 27), (2, 13), (9, 15), (27, 3), (22, 23), (13, 11), (10, 12), (19, 27), (3, 8), (23, 30), (14, 18), (16, 26), (12, 29), (21, 0), (10, 9), (2, 10), (5, 27), (30, 11), (24, 30), (24, 6), (10, 4), (13, 16), (14, 15), (5, 29), (32, 14), (1, 21), (32, 23), (16, 5), (15, 22), (9, 27), (9, 1), (15, 6), (9, 26), (11, 21), (17, 17), (24, 27), (7, 22), (23, 5), (18, 17), (24, 15), (2, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 7), (25, 24), (16, 5), (12, 27), (28, 8), (8, 15), (23, 22), (17, 15), (11, 20), (28, 10), (32, 16), (9, 25), (3, 8), (33, 3), (31, 9), (27, 17), (16, 7), (3, 11), (3, 2), (31, 2), (23, 14), (13, 11), (29, 25), (12, 28), (3, 3), (0, 29), (25, 17), (28, 4), (30, 12), (0, 3), (1, 5), (9, 27), (3, 19), (15, 12), (30, 3), (0, 8), (34, 16), (9, 29), (19, 26), (6, 11), (1, 22), (29, 16), (14, 26), (9, 13), (32, 2), (19, 25), (16, 4), (24, 9), (8, 17), (29, 11), (11, 2), (25, 29), (13, 30), (6, 14), (19, 13), (26, 3), (20, 3), (30, 5), (29, 0), (31, 18), (29, 24), (28, 19), (6, 21), (23, 13), (14, 28), (26, 23), (12, 13), (7, 2), (21, 4), (27, 14), (9, 15), (28, 28), (19, 15), (5, 30), (4, 30), (25, 12), (6, 13), (34, 6), (26, 21), (30, 6), (2, 23), (4, 16), (15, 28), (31, 1), (30, 16), (3, 23), (29, 5), (7, 10), (4, 1), (32, 27), (13, 16), (18, 12), (22, 6), (33, 6), (8, 30), (8, 13), (4, 27), (23, 6), (0, 4), (16, 30), (19, 3), (30, 21), (24, 15), (2, 1), (17, 12), (10, 7), (1, 6), (34, 17), (27, 16), (18, 15), (14, 30), (17, 27), (19, 11), (19, 0), (1, 25), (33, 2), (3, 29), (22, 17), (6, 18), (10, 15), (31, 3), (19, 14), (14, 17), (26, 9), (23, 1), (23, 10), (2, 27), (18, 29), (14, 11), (2, 4), (28, 30), (22, 27), (14, 5), (1, 1), (12, 21), (22, 1), (26, 5), (14, 0), (18, 17), (11, 10), (0, 14), (21, 28), (26, 18), (17, 13), (24, 5), (19, 22), (2, 22), (25, 18), (20, 25), (11, 1), (1, 13), (15, 4), (10, 21), (20, 2), (15, 3), (24, 17), (26, 2), (21, 30), (3, 15), (20, 22), (3, 4), (18, 6), (4, 22), (28, 18), (4, 14), (27, 10), (31, 14), (8, 28), (30, 17), (9, 6), (10, 4), (34, 10), (30, 18), (29, 2), (8, 10), (7, 9), (32, 30), (18, 10), (27, 19), (14, 2), (24, 4), (25, 4), (28, 15), (5, 21), (0, 13), (24, 27), (13, 4), (19, 18), (18, 23), (10, 11), (33, 13), (11, 14), (9, 3), (29, 20), (34, 20), (15, 10), (22, 14), (7, 27), (16, 27), (3, 12), (4, 13), (13, 6), (30, 2), (19, 4), (3, 20), (26, 26), (29, 23), (29, 10), (8, 9), (15, 1), (25, 1), (11, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 6), (25, 6), (35, 3), (29, 29), (8, 13), (34, 1), (33, 17), (33, 5), (17, 3), (33, 21), (1, 16), (21, 22), (23, 1), (19, 13), (19, 0), (3, 3), (26, 14), (34, 8), (24, 7), (28, 20), (34, 12), (16, 7), (32, 10), (12, 13), (3, 1), (3, 16), (13, 3), (28, 19), (11, 12), (20, 7), (20, 18), (10, 4), (14, 22), (34, 15), (28, 14), (19, 3), (18, 4), (32, 15), (17, 15), (16, 4), (20, 5), (32, 8), (24, 21), (31, 6), (25, 12), (2, 28), (27, 13), (2, 13), (4, 15), (15, 0), (12, 28), (34, 10), (8, 16), (29, 10), (14, 26), (23, 16), (31, 25), (23, 13), (22, 21), (29, 0), (29, 25), (25, 16), (14, 2), (5, 24), (16, 9), (35, 8), (35, 11), (23, 25), (27, 18), (20, 17), (22, 15), (13, 8), (31, 0), (7, 10), (15, 19), (20, 0), (26, 9), (2, 1), (12, 9), (26, 3), (11, 4), (1, 19), (18, 13), (15, 26), (27, 9), (9, 10), (7, 25), (4, 8), (11, 0), (7, 29), (0, 26), (5, 12), (1, 28), (9, 1), (34, 22), (3, 18), (10, 9), (18, 12), (6, 6), (17, 26), (21, 18), (33, 13), (31, 23), (29, 16), (1, 3), (1, 1), (24, 8), (23, 26), (13, 21), (5, 17), (14, 10), (34, 25), (5, 13), (30, 20), (7, 3), (35, 20), (13, 12), (35, 16), (34, 0), (35, 9), (17, 0), (13, 14), (6, 18), (3, 20), (35, 21), (8, 18), (0, 21), (14, 8), (6, 10), (14, 29), (29, 17), (5, 7), (13, 0), (7, 9), (34, 27), (9, 15), (32, 27), (14, 3), (27, 8), (11, 19), (17, 7), (4, 26), (21, 0), (0, 2), (7, 8), (30, 27), (30, 0), (17, 16), (24, 16), (14, 17), (2, 15), (28, 2), (21, 9), (10, 8), (32, 18), (35, 17), (17, 27), (33, 25), (8, 29), (9, 28), (2, 19), (19, 2), (15, 10), (13, 18), (35, 2), (23, 17), (5, 20), (12, 16), (18, 2), (18, 10), (6, 15), (18, 27), (20, 1), (31, 11), (34, 13), (2, 17), (32, 3), (22, 2), (20, 19), (19, 7), (5, 29), (10, 19), (5, 0), (1, 12), (24, 1), (16, 5), (6, 22), (17, 24), (29, 9), (4, 7), (16, 28), (9, 0), (16, 16), (4, 10), (16, 8), (16, 24), (6, 21), (15, 17), (12, 26), (23, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 14), (15, 11), (32, 20), (0, 38), (28, 12), (21, 21), (2, 30), (5, 34), (24, 25), (28, 32), (7, 30), (15, 13), (3, 6), (36, 16), (20, 4), (17, 35), (16, 35), (29, 35), (3, 11), (7, 24), (0, 31), (11, 10), (28, 31), (9, 21), (25, 32), (0, 11), (36, 29), (8, 23), (29, 5), (26, 33), (23, 4), (34, 27), (21, 31), (31, 28), (31, 3), (7, 20), (6, 17), (31, 22), (7, 8), (35, 37), (21, 3), (21, 26), (20, 32), (0, 12), (35, 0), (38, 16), (38, 7), (10, 22), (33, 26), (24, 32), (13, 38), (36, 12), (9, 0), (22, 24), (15, 28), (17, 12), (27, 38), (17, 30), (3, 33), (35, 5), (24, 35), (37, 22), (25, 28), (20, 18), (0, 15), (2, 19), (13, 30), (15, 34), (38, 36), (15, 36), (11, 2), (8, 4), (4, 31), (13, 34), (0, 2), (26, 24), (22, 27), (7, 13), (37, 31), (25, 31), (12, 3), (29, 19), (17, 27), (27, 25), (28, 15), (7, 35), (22, 33), (7, 6), (4, 26), (17, 5), (16, 23), (6, 31), (1, 15), (9, 38), (30, 36), (6, 22), (9, 4), (12, 8), (10, 32), (17, 11), (34, 8), (18, 36), (33, 38), (25, 8), (8, 37), (6, 20), (29, 4), (38, 20), (21, 15), (22, 0), (18, 20), (18, 16), (12, 20), (28, 24), (15, 15), (4, 33), (22, 37), (28, 36), (30, 38), (34, 19), (23, 7), (18, 34), (8, 16), (33, 13), (36, 5), (24, 20), (6, 29), (7, 36), (32, 27), (9, 32), (6, 23), (17, 14), (1, 26), (3, 18), (20, 22), (16, 34), (33, 8), (16, 19), (25, 29), (17, 17), (19, 31), (31, 29), (30, 0), (12, 38), (34, 5), (13, 15), (3, 30), (1, 19), (27, 3), (23, 18), (10, 1), (20, 15), (30, 15), (7, 3), (0, 7), (35, 22), (12, 11), (7, 11), (2, 38), (26, 20), (34, 22), (18, 3), (3, 34), (2, 32), (4, 25), (21, 22), (36, 23), (23, 11), (11, 31), (5, 11), (32, 19), (29, 34), (36, 15), (34, 7), (25, 2), (37, 17), (34, 29), (9, 19), (35, 3), (15, 20), (5, 4), (21, 20), (11, 38), (2, 0), (36, 3), (17, 18), (9, 17), (37, 32), (21, 35), (25, 34), (24, 10), (19, 27), (8, 17), (0, 14), (15, 38), (17, 15), (12, 12), (25, 10), (38, 22), (14, 5), (37, 9), (0, 35), (5, 7), (0, 25), (23, 37), (11, 9), (22, 28), (3, 28), (1, 32), (16, 0), (15, 32), (25, 19), (19, 3), (28, 19), (14, 23), (8, 15), (33, 32), (1, 35), (18, 9), (28, 1), (12, 29), (34, 12), (3, 9), (32, 18), (3, 14), (9, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 34x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 20), (2, 18), (17, 37), (23, 4), (16, 12), (16, 5), (10, 30), (21, 34), (23, 14), (27, 4), (23, 16), (25, 19), (0, 30), (21, 2), (2, 27), (11, 7), (5, 4), (4, 2), (4, 23), (9, 23), (25, 31), (23, 12), (33, 1), (8, 13), (27, 28), (7, 16), (17, 24), (5, 33), (0, 23), (6, 27), (10, 7), (24, 8), (32, 12), (6, 25), (13, 27), (31, 32), (11, 15), (31, 12), (12, 24), (10, 26), (18, 14), (8, 4), (30, 7), (12, 30), (22, 34), (28, 38), (28, 18), (18, 16), (15, 34), (20, 15), (3, 19), (29, 19), (7, 13), (26, 29), (21, 15), (17, 34), (7, 20), (9, 6), (3, 33), (15, 12), (28, 10), (18, 34), (2, 17), (2, 4), (15, 0), (9, 12), (15, 10), (3, 11), (21, 20), (10, 38), (0, 11), (32, 32), (17, 7), (30, 9), (12, 19), (8, 20), (24, 27), (1, 38), (5, 17), (0, 22), (11, 3), (2, 29), (33, 19), (16, 8), (10, 5), (31, 38), (29, 30), (22, 19), (16, 38), (29, 38), (0, 17), (26, 14), (9, 2), (0, 19), (23, 34), (17, 11), (4, 11), (2, 3), (16, 34), (15, 28), (25, 32), (22, 3), (17, 10), (9, 33), (19, 14), (13, 25), (29, 10), (11, 10), (19, 15), (23, 17), (7, 24), (32, 8), (27, 7), (1, 6), (22, 15), (28, 14), (10, 9), (33, 15), (5, 35), (1, 9), (23, 28), (33, 29), (30, 5), (8, 1), (14, 7), (9, 30), (1, 36), (33, 26), (18, 6), (31, 36), (19, 32), (16, 14), (12, 7), (20, 10), (20, 5), (27, 23), (7, 38), (29, 3), (23, 38), (28, 9), (28, 23), (12, 32), (32, 6), (26, 24), (6, 7), (29, 18), (22, 16), (10, 0), (9, 36), (16, 26), (32, 26), (13, 23), (17, 26), (4, 3), (18, 26), (6, 21), (13, 14), (17, 33), (5, 38), (27, 33), (2, 21), (10, 34), (1, 33), (31, 29), (24, 29), (28, 11), (23, 9), (6, 23), (11, 8), (14, 11), (1, 30), (20, 7), (13, 13), (2, 35), (14, 10), (5, 16), (23, 30), (25, 35), (0, 16), (21, 33), (27, 0), (4, 24), (20, 11), (21, 32), (14, 2), (4, 25), (19, 3), (30, 28), (19, 34), (14, 15), (4, 20), (24, 25), (30, 15), (17, 32), (27, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 15), (21, 33), (17, 9), (8, 30), (0, 11), (4, 2), (6, 18), (14, 10), (9, 9), (12, 20), (24, 25), (33, 3), (27, 26), (11, 1), (16, 8), (32, 12), (17, 21), (29, 23), (24, 14), (5, 24), (31, 2), (11, 10), (3, 24), (30, 22), (14, 7), (12, 24), (6, 13), (32, 3), (24, 13), (5, 17), (24, 29), (24, 7), (27, 7), (31, 19), (27, 10), (21, 11), (17, 2), (11, 29), (3, 0), (9, 17), (10, 3), (3, 27), (8, 28), (34, 28), (28, 22), (5, 3), (2, 6), (15, 2), (11, 0), (2, 8), (22, 6), (2, 29), (16, 7), (7, 22), (25, 32), (28, 17), (7, 6), (0, 28), (35, 30), (19, 7), (35, 23), (26, 14), (11, 14), (18, 17), (1, 1), (5, 4), (1, 19), (18, 24), (31, 14), (32, 5), (32, 4), (6, 17), (28, 7), (4, 8), (14, 5), (6, 6), (17, 33), (2, 30), (12, 31), (20, 9), (34, 5), (0, 17), (8, 1), (17, 32), (10, 5), (2, 25), (3, 2), (31, 10), (10, 10), (22, 33), (19, 9), (30, 4), (24, 11), (10, 22), (15, 30), (14, 27), (1, 4), (34, 13), (10, 29), (5, 12), (20, 13), (9, 26), (0, 32), (15, 13), (18, 20), (26, 7), (24, 26), (20, 11), (25, 31), (34, 23), (24, 8), (21, 30), (27, 20), (33, 29), (27, 29), (12, 6), (3, 6), (27, 30), (28, 4), (27, 22), (13, 14), (4, 5), (4, 21), (3, 22), (2, 1), (14, 16), (23, 19), (13, 19), (10, 24), (23, 29), (6, 3), (34, 14), (3, 26), (35, 13), (25, 13), (7, 27), (24, 19), (33, 2), (4, 9), (6, 30), (5, 1), (22, 17), (13, 23), (8, 12), (32, 7), (7, 0), (20, 21), (26, 4), (31, 24), (12, 26), (14, 31), (2, 5), (1, 17), (24, 28), (3, 17), (18, 23), (9, 27), (21, 3), (17, 22), (27, 9), (2, 22), (35, 24), (24, 1), (10, 25), (35, 3), (2, 4), (17, 24), (22, 16), (17, 30), (31, 16), (4, 3), (24, 3), (1, 31), (4, 24), (29, 31), (5, 33), (31, 6), (0, 33), (23, 18), (24, 12), (12, 4), (2, 2), (7, 24), (12, 9), (0, 18), (2, 12), (18, 12), (17, 20), (29, 21), (16, 0), (16, 3), (14, 24), (5, 31), (18, 27), (33, 27), (22, 32), (9, 29), (31, 32), (6, 8), (29, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 10), (13, 17), (2, 20), (5, 18), (27, 6), (14, 4), (35, 35), (22, 12), (23, 1), (27, 7), (7, 27), (21, 4), (6, 31), (20, 17), (32, 36), (32, 12), (32, 8), (18, 31), (9, 15), (0, 26), (2, 9), (31, 16), (8, 18), (27, 2), (31, 23), (29, 12), (29, 6), (29, 30), (5, 15), (28, 14), (28, 8), (6, 15), (17, 27), (20, 33), (14, 5), (18, 0), (26, 14), (26, 20), (9, 20), (9, 11), (31, 2), (32, 21), (3, 32), (19, 5), (35, 5), (24, 12), (21, 7), (26, 6), (9, 10), (24, 15), (20, 26), (15, 20), (11, 15), (17, 7), (26, 32), (33, 29), (5, 31), (11, 24), (5, 9), (28, 30), (25, 18), (12, 10), (30, 36), (12, 18), (35, 33), (15, 7), (34, 21), (21, 16), (14, 13), (4, 5), (4, 11), (29, 32), (30, 20), (4, 29), (6, 16), (14, 19), (34, 8), (12, 11), (5, 20), (2, 34), (1, 1), (2, 24), (33, 28), (12, 5), (17, 29), (16, 30), (16, 37), (5, 6), (8, 16), (14, 37), (19, 3), (11, 8), (26, 4), (33, 0), (26, 29), (10, 16), (2, 35), (33, 26), (3, 31), (13, 20), (21, 19), (13, 9), (12, 25), (22, 27), (1, 32), (6, 4), (24, 7), (0, 27), (3, 10), (25, 1), (33, 1), (12, 2), (34, 14), (28, 6), (31, 4), (31, 5), (18, 2), (29, 3), (17, 16), (22, 14), (25, 37), (8, 7), (17, 32), (14, 14), (20, 25), (27, 23), (14, 30), (5, 27), (11, 17), (3, 1), (34, 16), (19, 36), (20, 4), (22, 37), (7, 13), (34, 3), (19, 30), (15, 9), (16, 15), (29, 8), (31, 27), (11, 2), (24, 21), (22, 30), (28, 13), (9, 4), (32, 22), (23, 17), (28, 5), (17, 28), (11, 13), (34, 12), (0, 28), (33, 2), (10, 1), (28, 12), (30, 14), (0, 35), (0, 36), (16, 32), (27, 33), (5, 33), (24, 25), (20, 19), (22, 18), (23, 28), (27, 3), (0, 24), (7, 21), (9, 26), (15, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 6), (16, 6), (20, 8), (29, 1), (20, 20), (6, 0), (6, 5), (33, 27), (26, 25), (16, 11), (13, 29), (16, 15), (30, 11), (18, 10), (10, 0), (13, 21), (23, 8), (7, 8), (4, 25), (18, 24), (7, 25), (18, 20), (7, 18), (26, 29), (0, 20), (1, 20), (26, 22), (33, 19), (26, 7), (2, 10), (32, 7), (31, 1), (15, 21), (30, 13), (35, 11), (10, 12), (18, 1), (16, 29), (32, 22), (9, 10), (12, 26), (32, 13), (1, 19), (10, 21), (33, 4), (30, 1), (20, 17), (6, 1), (25, 19), (7, 5), (26, 27), (0, 25), (31, 12), (4, 0), (27, 24), (2, 5), (4, 17), (1, 25), (3, 5), (30, 4), (7, 12), (34, 12), (8, 12), (31, 5), (3, 27), (16, 13), (26, 9), (5, 21), (3, 14), (30, 17), (25, 5), (13, 27), (24, 20), (28, 5), (14, 8), (14, 16), (6, 24), (21, 14), (5, 20), (7, 26), (9, 26), (12, 1), (23, 25), (12, 18), (21, 12), (34, 24), (19, 21), (17, 0), (35, 3), (27, 29), (11, 2), (33, 1), (28, 21), (15, 22), (20, 12), (29, 12), (4, 29), (11, 25), (28, 17), (23, 0), (17, 23), (25, 4), (5, 27), (9, 23), (2, 1), (22, 28), (26, 16), (18, 13), (22, 20), (11, 24), (3, 26), (29, 22), (34, 19), (34, 18), (16, 23), (4, 13), (24, 3), (15, 26), (30, 27), (12, 13), (15, 7), (1, 11), (20, 4), (33, 21), (18, 2), (27, 4), (12, 22), (30, 28), (24, 28), (35, 12), (5, 29), (25, 29), (24, 7), (2, 7), (26, 15), (14, 26), (29, 15), (12, 0), (14, 25), (28, 19), (29, 25), (7, 22), (19, 0), (9, 9), (19, 12), (24, 23), (16, 20), (33, 24), (0, 11), (18, 21), (28, 20), (34, 23), (16, 17), (29, 14), (33, 20), (13, 18), (10, 20), (5, 1), (0, 8), (18, 6), (24, 12), (31, 6), (0, 29), (23, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 14), (35, 31), (17, 33), (34, 2), (33, 8), (8, 24), (6, 12), (18, 34), (4, 32), (4, 31), (14, 22), (4, 9), (30, 8), (17, 30), (29, 29), (16, 27), (29, 34), (33, 34), (9, 10), (19, 26), (1, 22), (23, 11), (31, 12), (2, 30), (21, 27), (31, 13), (14, 17), (4, 11), (29, 23), (17, 12), (21, 31), (25, 25), (15, 30), (20, 1), (27, 32), (9, 22), (33, 30), (31, 25), (31, 21), (15, 6), (8, 20), (26, 30), (27, 7), (24, 12), (18, 15), (19, 29), (7, 7), (27, 17), (28, 18), (23, 29), (32, 31), (1, 12), (22, 17), (5, 5), (25, 30), (14, 9), (19, 13), (19, 3), (18, 17), (26, 28), (21, 13), (21, 5), (32, 13), (21, 17), (1, 7), (4, 25), (21, 3), (33, 9), (1, 9), (11, 18), (31, 26), (29, 32), (34, 15), (3, 28), (7, 17), (15, 11), (29, 25), (14, 14), (21, 34), (5, 4), (27, 18), (23, 28), (9, 21), (24, 29), (21, 33), (12, 11), (24, 25), (8, 1), (2, 2), (20, 34), (23, 23), (6, 30), (32, 0), (12, 4), (3, 15), (34, 22), (18, 9), (33, 28), (20, 9), (33, 24), (30, 26), (4, 19), (3, 24), (35, 26), (35, 27), (14, 3), (3, 3), (0, 18), (27, 30), (12, 29), (6, 33), (34, 14), (25, 31), (24, 14), (1, 33), (2, 21), (30, 24), (6, 28), (32, 21), (21, 7), (20, 22), (18, 19), (33, 4), (10, 23), (19, 20), (32, 33), (27, 20), (29, 15), (16, 26), (23, 3), (28, 20), (17, 26), (6, 18), (3, 27), (30, 17), (26, 3), (19, 0), (35, 4), (32, 32), (14, 28), (15, 29), (13, 18), (7, 31), (17, 23), (26, 1), (17, 10), (28, 14), (6, 29), (17, 2), (10, 19), (6, 17), (26, 13), (19, 27), (22, 14), (21, 6), (33, 27), (29, 1), (21, 32), (28, 23), (25, 22), (16, 1), (35, 29), (35, 33), (10, 16), (35, 20), (11, 24), (4, 20), (20, 20), (0, 8), (31, 11), (35, 28), (2, 17), (4, 15), (1, 17), (18, 26), (21, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 29), (14, 26), (18, 13), (28, 5), (28, 11), (9, 18), (26, 29), (12, 31), (10, 6), (14, 18), (7, 7), (2, 15), (31, 13), (1, 0), (34, 9), (20, 29), (13, 15), (30, 7), (27, 30), (31, 2), (10, 15), (3, 8), (36, 29), (27, 32), (17, 17), (16, 23), (10, 28), (30, 27), (26, 17), (35, 18), (25, 26), (14, 28), (11, 7), (35, 25), (25, 21), (4, 24), (3, 21), (3, 25), (1, 19), (3, 27), (19, 21), (7, 24), (30, 15), (2, 7), (28, 24), (3, 31), (17, 32), (36, 16), (22, 14), (33, 30), (33, 13), (15, 19), (24, 14), (31, 19), (7, 14), (8, 10), (26, 25), (8, 18), (7, 28), (21, 22), (26, 6), (29, 23), (27, 29), (19, 0), (32, 28), (30, 5), (12, 19), (31, 3), (30, 10), (31, 17), (4, 11), (27, 15), (36, 12), (21, 8), (21, 4), (23, 22), (16, 5), (33, 28), (13, 32), (1, 30), (3, 24), (6, 13), (30, 30), (24, 3), (3, 28), (36, 1), (3, 3), (36, 31), (16, 11), (20, 13), (24, 10), (17, 20), (31, 30), (15, 23), (1, 27), (14, 15), (23, 32), (19, 17), (8, 28), (32, 4), (11, 15), (14, 6), (34, 2), (4, 26), (7, 16), (8, 4), (11, 1), (1, 26), (1, 20), (8, 32), (7, 20), (23, 27), (23, 14), (15, 7), (30, 11), (22, 18), (9, 6), (32, 19), (17, 6), (0, 27), (20, 10), (5, 22), (33, 31), (33, 29), (36, 11), (35, 2), (20, 2), (26, 18), (27, 9), (4, 22), (21, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 38x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (36, 18), (18, 2), (23, 13), (24, 24), (11, 27), (32, 3), (33, 5), (4, 28), (23, 29), (22, 5), (15, 6), (11, 12), (34, 24), (26, 11), (7, 0), (21, 22), (19, 6), (1, 8), (17, 27), (12, 12), (19, 17), (15, 24), (32, 25), (29, 22), (9, 2), (6, 29), (1, 0), (4, 16), (17, 31), (8, 22), (11, 4), (22, 25), (14, 27), (13, 8), (37, 9), (5, 2), (24, 27), (32, 13), (34, 13), (2, 34), (16, 5), (19, 25), (23, 18), (24, 4), (17, 15), (17, 6), (2, 22), (19, 20), (34, 19), (24, 31), (6, 24), (29, 30), (10, 34), (15, 17), (36, 12), (36, 29), (6, 12), (10, 14), (21, 21), (18, 16), (6, 14), (11, 8), (21, 20), (29, 14), (2, 12), (13, 22), (37, 33), (30, 14), (34, 11), (22, 23), (31, 28), (8, 33), (32, 26), (33, 31), (9, 16), (10, 18), (24, 8), (12, 23), (1, 1), (8, 5), (5, 12), (11, 10), (14, 0), (19, 26), (32, 30), (19, 2), (14, 34), (8, 13), (27, 20), (10, 29), (33, 15), (35, 27), (24, 6), (22, 28), (14, 30), (24, 13), (24, 19), (14, 20), (18, 33), (10, 12), (31, 22), (32, 21), (23, 19), (28, 33), (10, 7), (12, 26), (21, 10), (18, 27), (19, 18), (32, 23), (22, 30), (13, 34), (30, 16), (25, 28), (26, 7), (33, 13), (32, 17), (36, 22), (11, 32), (27, 24), (31, 30), (4, 21), (27, 22), (5, 21), (5, 19), (6, 28), (33, 23), (13, 12), (2, 31), (28, 25), (18, 32), (35, 34), (31, 18), (19, 0), (16, 4), (25, 17), (2, 19), (27, 4), (31, 19), (34, 32), (15, 28), (15, 33), (1, 16), (0, 18), (19, 13), (6, 34), (2, 6), (0, 24), (2, 16), (0, 29), (5, 6), (21, 0), (37, 16), (14, 26), (0, 9), (4, 30), (31, 21), (15, 30), (33, 30), (17, 1), (18, 13), (12, 25), (21, 23), (11, 21), (3, 28), (7, 14), (1, 31), (24, 16), (22, 1), (8, 20), (9, 34), (29, 9), (9, 9), (5, 17), (5, 15), (2, 32), (2, 18), (11, 16), (9, 15), (12, 18), (13, 31), (14, 14), (7, 2), (8, 2), (16, 8), (35, 12), (20, 24), (1, 34), (11, 0), (11, 18), (5, 1), (35, 14), (16, 30), (4, 2), (15, 3), (0, 8), (2, 20), (37, 6), (33, 0), (30, 33), (33, 8), (33, 3), (12, 4), (6, 1), (21, 12), (14, 18), (35, 26), (2, 17), (36, 2), (18, 10), (25, 13), (14, 1), (28, 4), (27, 17), (23, 32), (31, 17), (12, 32), (32, 6), (35, 7), (9, 17), (1, 9), (2, 26), (21, 13), (24, 23), (10, 27), (37, 2), (19, 11), (26, 8), (36, 6), (20, 19), (26, 33), (9, 24), (1, 29), (24, 34), (4, 22), (30, 34), (26, 32), (7, 12), (35, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 32x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 35), (5, 1), (3, 29), (1, 33), (22, 19), (12, 36), (31, 21), (12, 29), (15, 33), (10, 1), (20, 0), (17, 16), (28, 25), (28, 31), (9, 17), (16, 31), (17, 24), (5, 2), (7, 31), (28, 7), (7, 0), (10, 12), (19, 18), (26, 14), (22, 36), (20, 24), (15, 9), (21, 30), (20, 10), (8, 29), (6, 1), (31, 1), (18, 26), (28, 13), (0, 24), (12, 7), (1, 12), (13, 6), (15, 10), (12, 25), (20, 3), (4, 23), (23, 29), (14, 8), (26, 33), (31, 22), (28, 2), (22, 12), (21, 15), (0, 1), (20, 17), (28, 11), (25, 10), (27, 29), (11, 26), (25, 31), (4, 1), (24, 2), (30, 8), (28, 35), (18, 32), (27, 2), (31, 2), (26, 22), (9, 33), (25, 23), (13, 9), (28, 22), (27, 32), (11, 0), (16, 14), (16, 25), (15, 1), (30, 34), (5, 12), (12, 15), (8, 8), (3, 9), (5, 5), (12, 5), (21, 6), (13, 15), (29, 3), (5, 19), (22, 29), (20, 29), (30, 1), (4, 2), (22, 3), (10, 32), (25, 36), (22, 4), (26, 27), (21, 3), (5, 26), (31, 6), (3, 18), (9, 25), (18, 37), (13, 20), (15, 7), (25, 9), (5, 22), (15, 27), (18, 9), (2, 22), (4, 36), (28, 34), (28, 6), (17, 14), (9, 18), (6, 33), (23, 37), (28, 33), (29, 25), (2, 1), (1, 32), (12, 34), (26, 0), (30, 5), (31, 23), (20, 16), (23, 16), (13, 18), (15, 37), (23, 2), (12, 31), (16, 22), (8, 15), (16, 23), (25, 12), (5, 11), (7, 6), (22, 15), (22, 30), (16, 20), (23, 0), (21, 35), (9, 6), (31, 9), (0, 9), (29, 24), (24, 21), (3, 22), (1, 1), (25, 7), (13, 34), (7, 18), (2, 27), (11, 34), (11, 28), (13, 37), (11, 32), (0, 19), (0, 17), (17, 21), (5, 30), (6, 3), (8, 34), (29, 0), (3, 35), (25, 13), (28, 32), (6, 24), (12, 11), (7, 19), (26, 2), (5, 6), (5, 31), (31, 14), (20, 6), (13, 33), (26, 1), (26, 20), (9, 2), (24, 36), (27, 20), (12, 0), (20, 28), (23, 20), (12, 32), (18, 30), (29, 34), (27, 14), (20, 7), (23, 36), (17, 13), (16, 9), (11, 25), (5, 18), (10, 28), (23, 11), (5, 10), (29, 27), (3, 28), (26, 34), (18, 27), (3, 12), (29, 14), (29, 5), (10, 34), (10, 29), (6, 16), (1, 14), (27, 37), (22, 1), (25, 32), (14, 32), (21, 24), (15, 31), (6, 20), (22, 27), (15, 19), (12, 9), (5, 20), (18, 3), (24, 12), (12, 6), (4, 8), (26, 36), (18, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 33x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 32), (31, 9), (31, 28), (11, 17), (30, 20), (12, 6), (24, 27), (28, 5), (30, 6), (24, 22), (9, 30), (23, 22), (18, 11), (31, 2), (20, 15), (27, 0), (22, 32), (32, 31), (15, 26), (18, 8), (13, 31), (22, 14), (24, 6), (5, 16), (20, 2), (3, 22), (32, 25), (2, 15), (29, 29), (27, 22), (17, 10), (23, 17), (25, 3), (26, 17), (18, 5), (24, 4), (12, 15), (6, 13), (14, 4), (2, 10), (25, 30), (14, 17), (18, 10), (28, 0), (15, 12), (4, 27), (10, 10), (4, 26), (22, 15), (23, 20), (2, 3), (7, 10), (23, 21), (9, 16), (0, 17), (9, 33), (8, 31), (26, 29), (5, 29), (3, 17), (1, 10), (22, 31), (23, 12), (1, 27), (19, 16), (28, 9), (32, 2), (28, 16), (32, 12), (30, 12), (13, 34), (5, 24), (32, 20), (29, 7), (2, 13), (12, 27), (16, 19), (9, 12), (18, 12), (21, 34), (27, 5), (5, 23), (30, 0), (11, 31), (21, 14), (18, 27), (19, 24), (32, 27), (3, 32), (1, 7), (21, 7), (11, 15), (25, 28), (24, 29), (31, 5), (14, 10), (1, 28), (4, 6), (29, 11), (27, 34), (11, 1), (30, 25), (2, 17), (29, 0), (2, 1), (16, 1), (3, 16), (3, 6), (18, 0), (17, 25), (8, 23), (2, 16), (0, 14), (1, 6), (12, 13), (16, 5), (5, 20), (11, 4), (13, 8), (31, 17), (22, 5), (12, 8), (21, 10), (6, 9), (21, 8), (6, 1), (32, 30), (6, 33), (29, 13), (28, 29), (7, 17), (27, 12), (13, 6), (25, 29), (21, 31), (5, 3), (22, 4), (15, 33), (20, 17), (26, 5), (7, 31), (29, 26), (25, 12), (17, 27), (17, 13), (17, 5), (24, 8), (1, 13), (31, 14), (4, 22), (7, 4), (27, 13), (24, 14), (29, 19), (17, 9), (17, 32), (18, 1), (15, 9), (13, 30), (6, 14), (22, 29), (17, 19), (23, 3), (9, 34), (21, 12), (9, 3), (22, 0), (6, 20), (3, 9), (12, 34), (21, 26), (2, 19), (30, 21), (22, 1), (9, 8), (27, 17), (12, 25), (20, 21), (26, 11), (5, 27), (5, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 20), (22, 8), (22, 20), (4, 31), (27, 17), (2, 30), (0, 2), (12, 7), (23, 24), (28, 15), (10, 7), (24, 21), (30, 1), (10, 20), (28, 12), (0, 17), (17, 0), (13, 30), (8, 3), (7, 24), (11, 27), (21, 25), (11, 31), (27, 13), (12, 9), (12, 25), (23, 6), (10, 14), (1, 31), (9, 22), (4, 14), (29, 15), (13, 32), (19, 31), (11, 2), (24, 13), (9, 31), (0, 10), (18, 30), (23, 5), (27, 24), (17, 4), (7, 35), (12, 14), (2, 29), (15, 29), (14, 30), (6, 1), (8, 33), (18, 1), (26, 14), (23, 4), (25, 13), (23, 13), (9, 12), (26, 22), (26, 31), (20, 12), (8, 35), (29, 28), (28, 1), (0, 15), (19, 28), (27, 34), (25, 27), (26, 8), (16, 25), (19, 7), (22, 23), (20, 21), (4, 15), (19, 14), (17, 9), (22, 35), (30, 28), (7, 22), (29, 11), (13, 15), (5, 6), (18, 6), (26, 1), (22, 1), (21, 20), (29, 17), (16, 9), (14, 12), (30, 11), (17, 25), (7, 31), (1, 5), (1, 0), (4, 8), (2, 13), (7, 30), (28, 29), (24, 17), (28, 6), (0, 34), (15, 34), (22, 5), (2, 16), (19, 23), (29, 27), (22, 2), (13, 10), (15, 6), (23, 20), (8, 24), (20, 17), (3, 3), (8, 2), (13, 3), (24, 33), (5, 3), (14, 15), (19, 33), (20, 28), (2, 5), (17, 35), (22, 4), (19, 32), (20, 19), (13, 35), (3, 19), (1, 23), (3, 35), (2, 6), (13, 8), (14, 9), (26, 11), (22, 13), (7, 5), (1, 13), (3, 27), (3, 28), (8, 20), (7, 28), (18, 19), (11, 16), (25, 14), (21, 29), (2, 15), (24, 9), (6, 10), (9, 8), (12, 34), (2, 34), (29, 9), (12, 33), (14, 27), (28, 22), (9, 5), (7, 3), (17, 21), (16, 27), (9, 0), (20, 35), (24, 29), (22, 24), (7, 15), (21, 18), (18, 5), (24, 22), (2, 33), (30, 32), (9, 13), (6, 26), (14, 14), (25, 0), (6, 18), (5, 1), (24, 34), (10, 6), (5, 26), (5, 12), (15, 10), (6, 20), (5, 8), (23, 32), (26, 21), (22, 14), (9, 30), (29, 21), (3, 8), (15, 8), (5, 25), (27, 32), (17, 13), (14, 13), (15, 15), (15, 35)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 32x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 21), (31, 12), (23, 1), (6, 0), (12, 3), (0, 2), (27, 34), (23, 15), (31, 11), (30, 24), (1, 35), (1, 24), (15, 24), (5, 18), (4, 15), (11, 27), (27, 5), (14, 15), (28, 37), (16, 36), (25, 11), (15, 32), (27, 10), (26, 33), (22, 19), (25, 25), (7, 31), (10, 37), (27, 29), (1, 23), (30, 7), (17, 24), (9, 0), (28, 27), (13, 26), (7, 0), (15, 28), (0, 30), (31, 20), (18, 0), (12, 15), (6, 7), (24, 23), (4, 14), (17, 15), (3, 0), (11, 24), (14, 33), (23, 2), (19, 18), (16, 22), (7, 7), (16, 12), (21, 28), (20, 4), (10, 14), (28, 14), (18, 13), (0, 1), (5, 37), (21, 13), (16, 32), (11, 10), (1, 14), (24, 3), (11, 3), (21, 15), (25, 5), (12, 24), (3, 13), (26, 3), (6, 5), (14, 16), (23, 6), (16, 37), (12, 6), (21, 8), (14, 17), (23, 9), (11, 31), (7, 25), (19, 13), (24, 15), (18, 31), (11, 32), (23, 4), (26, 17), (29, 12), (7, 37), (25, 4), (5, 12), (8, 16), (20, 3), (24, 14), (24, 2), (26, 9), (28, 1), (23, 27), (5, 34), (29, 29), (22, 17), (15, 14), (27, 35), (4, 25), (29, 36), (25, 0), (4, 37), (19, 5), (1, 37), (7, 14), (13, 22), (25, 2), (10, 27), (10, 6), (9, 3), (5, 25), (15, 21), (27, 2), (30, 30), (21, 23), (19, 11), (26, 15), (28, 3), (29, 26), (20, 13), (24, 28), (5, 19), (4, 11), (18, 32), (1, 30), (4, 4), (6, 26), (16, 4), (27, 8), (30, 37), (24, 21), (10, 36), (14, 25), (31, 28), (22, 33), (1, 25), (18, 36), (27, 20), (26, 7), (26, 12), (12, 13), (13, 2), (9, 7), (30, 23), (19, 4), (26, 16), (29, 28), (29, 16), (18, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 4), (10, 24), (4, 34), (24, 19), (22, 14), (19, 13), (27, 12), (7, 24), (29, 28), (22, 30), (1, 0), (10, 26), (23, 9), (1, 9), (18, 22), (9, 24), (24, 31), (27, 34), (17, 33), (32, 3), (31, 17), (18, 27), (22, 4), (29, 7), (19, 9), (10, 34), (14, 15), (20, 28), (27, 6), (1, 34), (20, 7), (4, 26), (16, 5), (4, 8), (30, 10), (2, 19), (21, 19), (28, 17), (6, 6), (19, 5), (13, 29), (14, 35), (0, 21), (27, 9), (2, 4), (24, 17), (14, 22), (30, 25), (6, 10), (16, 14), (18, 21), (10, 16), (30, 11), (11, 19), (13, 15), (14, 28), (3, 4), (28, 10), (11, 35), (16, 32), (18, 6), (8, 30), (24, 15), (31, 22), (6, 12), (5, 24), (19, 2), (27, 2), (12, 24), (12, 18), (19, 26), (8, 24), (32, 15), (16, 15), (23, 22), (17, 18), (19, 23), (30, 18), (16, 9), (15, 32), (9, 27), (25, 10), (30, 12), (3, 17), (13, 10), (23, 25), (2, 26), (8, 3), (10, 1), (19, 18), (22, 15), (15, 13), (19, 12), (5, 23), (26, 3), (8, 16), (24, 24), (20, 25), (26, 27), (5, 6), (16, 27), (8, 0), (8, 10), (20, 31), (20, 6), (24, 6), (22, 34), (25, 34), (18, 15), (17, 23), (18, 33), (15, 22), (10, 18), (26, 11), (19, 25), (25, 13), (0, 29), (30, 35), (26, 21), (26, 8), (21, 22), (3, 8), (25, 1), (0, 16), (20, 12), (11, 0), (3, 30), (13, 18), (13, 19), (27, 31), (6, 28), (25, 6), (17, 4), (25, 14), (4, 20), (32, 24), (19, 34), (22, 18), (6, 24), (20, 17), (16, 25), (29, 34), (6, 14), (17, 9), (19, 30), (10, 15), (31, 8), (31, 10), (13, 24), (29, 25), (32, 20), (17, 8), (4, 28), (12, 16), (5, 16), (0, 34), (27, 21), (16, 24), (9, 16), (0, 2), (20, 11), (3, 10), (19, 6), (19, 35), (4, 14), (21, 15), (15, 16), (13, 32), (29, 9), (18, 12), (13, 26), (6, 16), (16, 17), (22, 3), (24, 21), (6, 30), (24, 12), (28, 29), (13, 2), (2, 18), (30, 0), (2, 8), (10, 10), (8, 18), (29, 1), (17, 27), (10, 9), (5, 8), (0, 35), (13, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 23), (28, 16), (33, 21), (26, 9), (29, 27), (9, 9), (16, 18), (29, 28), (31, 2), (3, 23), (24, 23), (1, 6), (1, 26), (23, 24), (30, 31), (21, 10), (16, 13), (8, 24), (10, 29), (31, 26), (24, 10), (5, 18), (1, 17), (24, 3), (0, 1), (23, 9), (6, 17), (8, 25), (26, 1), (32, 6), (7, 1), (26, 0), (22, 0), (9, 13), (19, 32), (24, 11), (26, 4), (19, 21), (19, 14), (33, 30), (10, 0), (15, 10), (11, 27), (12, 33), (17, 11), (16, 2), (21, 1), (13, 16), (6, 1), (1, 31), (29, 10), (27, 22), (8, 26), (24, 25), (11, 29), (8, 1), (15, 9), (30, 33), (4, 28), (33, 5), (23, 28), (28, 0), (18, 20), (25, 3), (4, 24), (20, 7), (0, 24), (32, 33), (15, 4), (19, 26), (25, 4), (9, 2), (7, 18), (14, 30), (0, 21), (16, 4), (8, 22), (25, 9), (25, 22), (7, 3), (21, 21), (26, 16), (3, 27), (4, 17), (2, 17), (16, 25), (3, 19), (5, 5), (16, 32), (30, 15), (25, 16), (16, 30), (23, 19), (25, 30), (23, 21), (24, 4), (3, 9), (3, 28), (22, 25), (13, 26), (4, 8), (6, 4), (19, 16), (34, 27), (8, 21), (33, 27), (29, 3), (26, 6), (16, 28), (30, 7), (14, 33), (7, 20), (15, 17), (31, 27), (1, 9), (5, 24), (8, 11), (18, 29), (6, 6), (18, 33), (3, 13), (30, 25), (34, 31), (20, 17), (14, 14), (31, 10), (31, 33), (26, 12), (14, 16), (7, 4), (34, 3), (5, 12), (6, 13), (24, 1), (34, 6), (0, 31), (17, 32), (28, 11), (29, 11), (7, 2), (6, 24), (34, 22), (33, 17), (27, 9), (23, 4), (13, 24), (27, 1), (29, 1), (19, 9), (7, 9), (24, 2), (27, 16), (34, 32), (7, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 39x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 21), (33, 17), (38, 17), (24, 24), (16, 23), (1, 13), (10, 16), (9, 0), (32, 15), (11, 22), (5, 26), (21, 15), (37, 4), (9, 9), (8, 25), (21, 5), (27, 25), (22, 4), (3, 5), (11, 10), (15, 4), (12, 18), (35, 9), (32, 0), (1, 4), (8, 2), (6, 17), (24, 10), (37, 22), (38, 18), (6, 7), (35, 21), (11, 29), (33, 13), (31, 32), (30, 18), (24, 14), (26, 2), (28, 25), (9, 11), (2, 32), (34, 27), (17, 2), (8, 17), (31, 24), (8, 14), (36, 8), (33, 22), (24, 20), (32, 2), (13, 13), (16, 11), (10, 23), (29, 30), (26, 18), (28, 12), (35, 8), (15, 20), (8, 20), (19, 31), (20, 11), (31, 29), (10, 15), (5, 11), (20, 21), (25, 7), (5, 5), (3, 8), (27, 14), (2, 8), (38, 2), (23, 15), (28, 9), (14, 16), (0, 4), (37, 0), (11, 9), (34, 21), (15, 5), (32, 19), (17, 31), (30, 1), (24, 17), (4, 27), (31, 28), (3, 14), (19, 6), (7, 2), (3, 9), (26, 28), (1, 21), (13, 26), (29, 13), (29, 20), (11, 7), (27, 10), (12, 9), (17, 13), (12, 22), (15, 8), (9, 5), (34, 11), (29, 31), (36, 9), (9, 14), (7, 19), (14, 26), (32, 16), (19, 28), (16, 32), (7, 17), (34, 25), (8, 8), (28, 1), (30, 23), (22, 16), (34, 28), (19, 26), (8, 1), (19, 9), (33, 7), (28, 23), (2, 22), (7, 6), (16, 24), (10, 8), (17, 14), (29, 18), (6, 2), (18, 10), (3, 0), (6, 18), (11, 1), (16, 17), (20, 23), (20, 32), (7, 11), (1, 0), (2, 15), (16, 27), (14, 32), (2, 25), (8, 18), (27, 24), (29, 16), (28, 22), (25, 5), (7, 31), (3, 18), (38, 7), (15, 24), (36, 24), (3, 13), (17, 28), (5, 6), (24, 22), (31, 20), (20, 19), (12, 0), (12, 20), (7, 20), (13, 2), (13, 8), (25, 15), (24, 16), (1, 26), (16, 9), (20, 16), (21, 8), (30, 21), (37, 5), (15, 16), (21, 19), (13, 22), (25, 26), (12, 14), (21, 6), (19, 8), (19, 24), (2, 19), (20, 3), (27, 4), (32, 17), (11, 6), (31, 8), (11, 16), (19, 19), (27, 5), (19, 30), (19, 1), (10, 22), (27, 9), (22, 24), (27, 20), (6, 19), (34, 32), (5, 27), (35, 15), (6, 0), (37, 27), (23, 18), (20, 2), (1, 28), (26, 25), (7, 9), (15, 10), (32, 3), (19, 21), (38, 24), (23, 4), (24, 19), (11, 13), (17, 30), (1, 27), (8, 4), (27, 13), (9, 1), (32, 30), (29, 10), (14, 9), (23, 24), (36, 16), (26, 8), (9, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 34x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 24), (14, 14), (6, 25), (15, 27), (31, 24), (29, 15), (8, 15), (14, 3), (21, 23), (19, 5), (17, 0), (19, 3), (19, 26), (5, 3), (14, 17), (4, 33), (19, 0), (18, 10), (26, 7), (22, 14), (5, 7), (0, 10), (13, 0), (9, 33), (31, 33), (32, 11), (18, 8), (22, 22), (25, 6), (14, 28), (29, 20), (12, 14), (21, 6), (32, 13), (30, 5), (14, 16), (13, 24), (0, 33), (6, 19), (27, 19), (1, 5), (8, 11), (3, 5), (31, 8), (33, 21), (8, 3), (10, 14), (21, 21), (2, 25), (12, 0), (5, 20), (10, 7), (10, 16), (24, 21), (12, 27), (22, 20), (32, 20), (4, 12), (33, 17), (12, 33), (13, 1), (16, 11), (11, 29), (28, 30), (11, 12), (28, 17), (6, 7), (8, 0), (15, 30), (14, 8), (17, 15), (23, 7), (8, 33), (13, 12), (10, 2), (9, 2), (22, 10), (7, 21), (26, 20), (17, 28), (13, 18), (23, 25), (33, 26), (20, 30), (16, 3), (3, 19), (31, 32), (7, 27), (33, 30), (22, 23), (19, 29), (14, 24), (5, 22), (12, 11), (30, 10), (20, 4), (28, 18), (30, 21), (12, 17), (4, 11), (17, 3), (17, 18), (21, 33), (18, 0), (12, 24), (33, 25), (3, 16), (19, 20), (7, 10), (3, 4), (25, 1), (19, 11), (22, 15), (15, 7), (17, 31), (22, 11), (24, 28), (31, 0), (14, 25), (29, 28), (27, 30), (33, 6), (19, 21), (32, 0), (18, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 32x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 25), (12, 6), (10, 28), (17, 6), (5, 23), (20, 30), (3, 21), (22, 25), (25, 17), (21, 8), (16, 3), (22, 24), (22, 12), (2, 23), (29, 19), (17, 30), (27, 10), (8, 26), (24, 2), (21, 28), (23, 9), (8, 0), (3, 23), (12, 22), (11, 24), (25, 28), (20, 24), (8, 27), (22, 30), (0, 23), (2, 20), (20, 19), (18, 3), (15, 20), (23, 12), (21, 26), (31, 1), (13, 12), (1, 27), (10, 19), (26, 18), (25, 4), (10, 14), (25, 9), (20, 20), (16, 4), (27, 3), (13, 23), (10, 16), (23, 15), (12, 7), (7, 21), (16, 10), (7, 22), (8, 15), (29, 12), (25, 14), (26, 0), (17, 13), (18, 20), (11, 7), (13, 1), (10, 3), (19, 27), (24, 12), (12, 28), (11, 0), (20, 0), (15, 19), (9, 12), (22, 27), (21, 24), (27, 12), (28, 22), (11, 17), (27, 25), (3, 11), (4, 19), (5, 25), (31, 8), (13, 30), (1, 8), (5, 2), (8, 29), (13, 22), (18, 0), (20, 2), (31, 21), (10, 4), (24, 23), (1, 3), (0, 2), (23, 22), (5, 19), (18, 30), (26, 19), (24, 25), (2, 14), (13, 24), (18, 12), (19, 17), (23, 21), (2, 7), (31, 5), (3, 7), (14, 11), (10, 8), (30, 21), (24, 6), (21, 19), (23, 2), (21, 1), (29, 5), (26, 10), (28, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 32), (20, 19), (8, 10), (19, 17), (11, 25), (6, 1), (15, 6), (0, 4), (11, 32), (5, 15), (3, 17), (21, 22), (24, 1), (23, 18), (9, 10), (28, 25), (4, 26), (6, 21), (4, 6), (28, 4), (9, 23), (23, 4), (9, 16), (29, 23), (0, 25), (21, 19), (0, 19), (29, 17), (28, 21), (8, 4), (5, 22), (21, 5), (15, 8), (18, 4), (6, 5), (0, 14), (9, 17), (14, 19), (12, 17), (20, 25), (19, 6), (1, 31), (26, 30), (9, 20), (21, 20), (9, 5), (26, 15), (22, 25), (23, 30), (11, 0), (4, 25), (12, 15), (24, 9), (29, 29), (3, 23), (28, 27), (7, 30), (6, 12), (24, 8), (20, 24), (10, 19), (2, 17), (3, 25), (4, 8), (19, 23), (20, 9), (17, 1), (8, 1), (24, 12), (26, 7), (5, 4), (16, 22), (4, 4), (11, 7), (15, 13), (3, 3), (14, 30), (19, 19), (15, 1), (2, 15), (0, 2), (5, 32), (11, 9), (23, 13), (21, 24), (5, 10), (9, 15), (28, 12), (9, 32), (6, 15), (28, 6), (6, 6), (21, 3), (18, 31), (27, 9), (10, 5), (8, 13), (10, 29), (8, 2), (17, 21), (3, 32), (13, 32), (11, 6), (26, 3), (14, 23), (1, 10), (5, 30), (4, 21), (13, 12), (16, 9), (2, 6), (26, 29), (28, 11), (0, 13), (8, 12), (4, 7), (14, 21), (6, 16), (17, 16), (10, 6), (28, 31), (13, 30), (12, 13), (4, 31), (24, 3), (19, 30), (13, 14), (24, 2), (23, 23), (26, 28), (0, 6), (27, 10), (27, 24), (4, 28), (7, 32), (8, 28), (21, 31), (27, 30), (4, 18), (1, 3), (22, 24), (25, 18), (22, 31), (15, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 25), (4, 5), (21, 28), (4, 31), (7, 15), (14, 22), (5, 28), (28, 29), (21, 6), (15, 20), (17, 13), (5, 12), (27, 1), (2, 4), (3, 29), (0, 17), (29, 7), (4, 12), (22, 23), (18, 22), (0, 14), (6, 9), (7, 29), (20, 9), (11, 9), (12, 17), (18, 19), (17, 16), (27, 16), (13, 18), (19, 6), (20, 4), (27, 27), (17, 19), (21, 1), (18, 12), (20, 3), (26, 14), (2, 26), (15, 19), (19, 14), (28, 9), (3, 12), (25, 16), (9, 8), (9, 26), (21, 8), (28, 2), (12, 13), (9, 7), (2, 30), (8, 10), (4, 20), (15, 14), (20, 14), (9, 30), (18, 13), (30, 26), (2, 0), (2, 29), (0, 3), (30, 19), (21, 31), (3, 25), (5, 24), (3, 16), (3, 13), (14, 7), (1, 19), (16, 25), (15, 28), (10, 15), (20, 24), (10, 22), (30, 28), (7, 28), (23, 25), (30, 5), (20, 27), (25, 31), (17, 3), (10, 10), (8, 5), (22, 24), (9, 11), (8, 3), (30, 20), (3, 28), (11, 20), (11, 14), (18, 25), (11, 16), (22, 4), (11, 24), (13, 0), (2, 19), (19, 0), (18, 0), (16, 1), (15, 17), (26, 0), (8, 0), (4, 24), (22, 9), (28, 1), (29, 15), (14, 21), (14, 14), (25, 28), (18, 1), (23, 19), (7, 27), (16, 29), (19, 18), (11, 5), (22, 16), (23, 30), (20, 1), (1, 27), (12, 28), (2, 11), (3, 23), (1, 22), (27, 24), (0, 12), (29, 26), (26, 21), (6, 29), (14, 10), (3, 4), (6, 13), (4, 1), (2, 16), (13, 11), (29, 9), (16, 16), (9, 27), (21, 27), (19, 24), (26, 1), (16, 28), (1, 20), (7, 4), (8, 9), (20, 21), (6, 27), (27, 17), (17, 31), (10, 8), (26, 22), (8, 31), (10, 23), (29, 12), (8, 18), (28, 15), (25, 1), (22, 6), (17, 6), (21, 3), (0, 23), (19, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 8), (5, 33), (21, 17), (7, 21), (1, 17), (31, 22), (10, 17), (31, 15), (26, 8), (13, 36), (1, 9), (22, 26), (7, 18), (0, 35), (11, 1), (9, 8), (27, 25), (1, 30), (30, 11), (22, 9), (11, 10), (8, 24), (5, 8), (32, 11), (6, 2), (19, 25), (17, 32), (33, 32), (30, 28), (22, 36), (5, 9), (21, 20), (2, 31), (17, 17), (34, 31), (19, 7), (7, 27), (11, 21), (19, 36), (8, 35), (1, 11), (19, 2), (12, 5), (6, 35), (8, 14), (14, 27), (8, 28), (15, 30), (27, 28), (7, 35), (29, 6), (27, 32), (17, 35), (18, 28), (24, 10), (14, 16), (29, 26), (22, 5), (25, 24), (3, 9), (4, 16), (0, 6), (2, 35), (30, 18), (20, 32), (11, 35), (17, 36), (17, 16), (15, 29), (30, 19), (26, 12), (7, 34), (34, 15), (7, 12), (8, 25), (24, 32), (33, 20), (24, 24), (1, 36), (4, 21), (27, 13), (34, 30), (3, 6), (14, 19), (28, 28), (16, 18), (9, 17), (10, 30), (0, 37), (10, 2), (25, 17), (20, 17), (30, 9), (20, 12), (21, 15), (11, 28), (30, 36), (2, 20), (24, 25), (1, 0), (14, 32), (5, 3), (33, 0), (13, 7), (32, 3), (24, 36), (17, 2), (31, 36), (0, 17), (20, 11), (15, 11), (15, 2), (33, 35), (6, 18), (3, 24), (26, 14), (4, 23), (13, 28), (16, 4), (31, 28), (20, 29), (7, 36), (29, 30), (26, 29), (11, 11), (25, 12), (34, 16), (12, 6), (0, 7), (34, 36), (24, 4), (8, 20), (10, 37), (3, 16), (30, 35), (34, 4), (11, 29), (27, 22), (26, 27), (19, 31), (14, 34), (31, 21), (3, 29), (20, 22), (31, 29), (27, 23), (20, 36), (32, 14), (21, 21), (18, 27), (21, 12), (15, 3), (8, 34), (13, 11), (25, 4), (24, 8), (34, 10), (15, 10), (31, 6), (22, 3), (15, 28), (33, 28), (4, 28), (19, 5), (21, 3), (20, 24), (26, 16), (25, 36), (18, 8), (32, 16), (23, 24), (7, 4), (3, 27), (10, 7), (6, 4), (1, 33), (6, 0), (25, 11), (20, 31), (13, 13), (23, 0), (25, 21), (15, 22), (18, 24), (29, 13), (34, 13), (1, 18), (1, 1), (25, 9), (9, 28), (3, 25), (31, 33), (28, 4), (9, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 1), (6, 0), (16, 36), (28, 13), (22, 7), (29, 14), (31, 21), (27, 8), (5, 23), (9, 21), (6, 33), (9, 29), (36, 13), (16, 24), (9, 4), (23, 19), (1, 33), (21, 13), (35, 36), (27, 9), (19, 21), (3, 3), (36, 9), (31, 4), (17, 21), (32, 29), (34, 0), (15, 15), (19, 17), (24, 0), (21, 8), (1, 0), (18, 12), (5, 34), (9, 34), (33, 25), (35, 5), (36, 10), (8, 32), (5, 14), (37, 10), (26, 33), (12, 11), (32, 2), (10, 9), (14, 10), (8, 31), (28, 31), (2, 25), (29, 37), (4, 6), (19, 24), (9, 26), (8, 12), (13, 9), (31, 22), (19, 2), (36, 21), (17, 36), (14, 1), (8, 22), (15, 5), (5, 30), (19, 10), (2, 32), (20, 9), (27, 0), (6, 6), (1, 16), (24, 21), (9, 15), (34, 15), (28, 32), (26, 0), (1, 31), (33, 10), (18, 24), (22, 10), (2, 23), (19, 26), (21, 10), (20, 19), (32, 23), (22, 24), (35, 6), (12, 16), (6, 5), (23, 32), (10, 17), (9, 19), (1, 34), (6, 24), (16, 30), (5, 27), (0, 3), (1, 32), (6, 7), (6, 18), (9, 16), (30, 8), (5, 31), (31, 29), (5, 8), (29, 32), (23, 2), (29, 26), (35, 20), (35, 23), (7, 36), (16, 32), (33, 35), (32, 20), (11, 33), (31, 19), (26, 15), (33, 26), (8, 25), (24, 2), (10, 37), (17, 11), (17, 22), (4, 30), (14, 31), (4, 20), (31, 23), (24, 8), (21, 2), (18, 29), (28, 5), (30, 15), (9, 10), (0, 7), (28, 3), (31, 25), (2, 37), (4, 18), (37, 30), (7, 22), (16, 3), (0, 25), (33, 0), (2, 22), (34, 29), (21, 17), (7, 0), (36, 6), (37, 23), (19, 4), (14, 8), (15, 36), (1, 29), (37, 20), (29, 3), (11, 28), (16, 31), (0, 33), (19, 35), (9, 5), (20, 28), (15, 13), (0, 12), (16, 23), (34, 19), (12, 19), (12, 28), (9, 30), (17, 34), (33, 12), (31, 34), (14, 20), (25, 28), (3, 30), (17, 35), (36, 22), (22, 17), (27, 30), (1, 28), (26, 31), (0, 30), (34, 37), (16, 29), (36, 4), (36, 29), (30, 34), (13, 2), (27, 25), (5, 19), (25, 16), (14, 18), (18, 7), (13, 14), (13, 26), (11, 3), (31, 32), (31, 0), (4, 1), (14, 12), (8, 17), (34, 3), (23, 5), (29, 15), (12, 12), (35, 27), (8, 9), (14, 35), (35, 35), (30, 19), (23, 15), (29, 16), (37, 33), (23, 11), (5, 18), (5, 12), (9, 20), (15, 4), (25, 37), (2, 14), (23, 6), (12, 35), (4, 13), (1, 23), (23, 4), (18, 18), (22, 8), (4, 21), (23, 34), (4, 31), (23, 30), (17, 14), (22, 28), (25, 8), (37, 22), (26, 4), (2, 0), (11, 37), (36, 2), (22, 14), (25, 23), (16, 10), (5, 3), (26, 30), (31, 20), (5, 28), (0, 20), (5, 25), (24, 15), (2, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 32x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 2), (7, 29), (14, 15), (29, 21), (21, 25), (6, 29), (23, 0), (11, 21), (24, 19), (14, 1), (26, 21), (19, 29), (28, 18), (23, 9), (15, 9), (16, 28), (27, 0), (4, 16), (9, 29), (25, 21), (8, 4), (14, 5), (23, 12), (1, 11), (3, 1), (19, 10), (31, 12), (19, 9), (18, 25), (6, 1), (13, 7), (21, 8), (10, 29), (14, 2), (24, 21), (20, 15), (8, 19), (29, 25), (22, 8), (8, 11), (3, 22), (29, 1), (31, 4), (0, 23), (10, 3), (27, 8), (1, 31), (8, 21), (24, 6), (12, 19), (25, 7), (19, 31), (26, 17), (6, 27), (19, 6), (11, 14), (18, 23), (1, 2), (7, 6), (25, 13), (29, 24), (14, 3), (0, 15), (17, 27), (26, 8), (13, 27), (11, 2), (3, 8), (25, 28), (6, 21), (7, 18), (16, 8), (20, 6), (19, 8), (16, 31), (7, 12), (13, 16), (20, 17), (3, 24), (16, 21), (5, 30), (31, 16), (15, 19), (0, 2), (0, 24), (22, 3), (8, 31), (8, 17), (22, 5), (5, 18), (25, 26), (0, 31), (30, 25), (23, 17), (19, 26), (25, 19), (26, 27), (12, 9), (1, 30), (22, 28), (28, 16), (6, 6), (6, 22), (17, 25), (5, 23), (2, 12), (0, 3), (11, 10), (21, 29), (31, 11), (29, 23), (3, 10), (14, 30), (20, 25), (29, 14), (14, 23), (23, 29), (23, 26), (17, 17), (17, 15), (4, 18), (3, 3), (30, 9), (13, 4), (9, 8), (26, 0), (23, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 33x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 28), (7, 5), (2, 14), (3, 1), (5, 12), (6, 2), (11, 23), (1, 9), (32, 2), (13, 22), (18, 10), (2, 12), (16, 3), (0, 23), (13, 13), (0, 15), (26, 27), (2, 4), (27, 24), (5, 26), (23, 25), (29, 18), (7, 33), (9, 33), (20, 34), (7, 7), (6, 31), (32, 26), (19, 4), (30, 9), (7, 34), (13, 3), (24, 16), (7, 23), (5, 2), (30, 26), (6, 22), (3, 15), (9, 16), (16, 27), (21, 4), (12, 11), (6, 16), (25, 32), (27, 3), (25, 5), (7, 4), (10, 34), (32, 28), (15, 34), (14, 27), (16, 9), (3, 4), (7, 19), (16, 29), (13, 2), (6, 32), (16, 12), (2, 31), (30, 7), (16, 17), (4, 11), (11, 2), (8, 12), (25, 3), (29, 2), (28, 21), (21, 14), (29, 29), (4, 30), (18, 30), (24, 34), (27, 32), (15, 26), (32, 33), (7, 0), (26, 10), (16, 0), (13, 20), (32, 22), (14, 15), (19, 13), (29, 1), (13, 12), (27, 14), (28, 9), (1, 21), (24, 9), (32, 32), (10, 14), (20, 25), (6, 4), (16, 32), (7, 28), (22, 23), (5, 24), (28, 3), (20, 9), (23, 5), (27, 8), (23, 14), (10, 17), (1, 10), (11, 15), (29, 32), (22, 28), (14, 11), (1, 2), (32, 9), (0, 7), (9, 18), (15, 2), (11, 4), (6, 3), (25, 23), (7, 16), (18, 33), (7, 21), (22, 12), (3, 34), (2, 9), (20, 19), (13, 21), (22, 8), (32, 0), (17, 4), (27, 31), (20, 23), (21, 33), (28, 19), (20, 4), (26, 9), (29, 6), (14, 1), (21, 32), (16, 16), (12, 34), (21, 15), (30, 10), (15, 27), (2, 20), (18, 13), (0, 18), (24, 0), (31, 8), (10, 22), (7, 2), (19, 30), (0, 29), (9, 26), (5, 11), (23, 1), (17, 24), (1, 34), (29, 22), (32, 23), (28, 34), (2, 3), (12, 17), (3, 28), (4, 25), (5, 5), (16, 2), (14, 5), (8, 7), (31, 15), (25, 10), (30, 19), (11, 3), (4, 1), (28, 22), (23, 34), (31, 17), (6, 26), (18, 22), (14, 16), (31, 9), (19, 5), (1, 31), (19, 15), (8, 6), (32, 17), (12, 23), (31, 12), (31, 28), (11, 29), (31, 32), (11, 9), (27, 34), (14, 23), (28, 7), (15, 28), (2, 25), (5, 3), (20, 8), (9, 34), (24, 6), (32, 1), (6, 28), (12, 20), (7, 27), (21, 18), (19, 10), (22, 19), (1, 8), (0, 3), (26, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 39x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 12), (2, 1), (4, 2), (0, 19), (32, 29), (5, 33), (33, 34), (11, 25), (14, 17), (1, 32), (33, 1), (35, 8), (23, 20), (12, 6), (14, 32), (20, 12), (33, 27), (37, 4), (12, 25), (14, 9), (29, 31), (30, 8), (6, 4), (29, 25), (36, 26), (23, 31), (12, 19), (2, 27), (2, 19), (36, 30), (26, 17), (24, 25), (29, 35), (28, 18), (25, 4), (23, 9), (38, 13), (28, 32), (26, 24), (21, 1), (20, 16), (21, 28), (15, 0), (11, 10), (31, 29), (9, 2), (38, 8), (8, 11), (30, 3), (12, 7), (11, 22), (11, 21), (14, 3), (19, 21), (30, 24), (21, 5), (24, 14), (30, 13), (34, 19), (32, 24), (15, 1), (24, 13), (16, 15), (20, 20), (15, 31), (10, 35), (1, 4), (37, 2), (19, 22), (9, 6), (4, 7), (25, 35), (0, 35), (30, 2), (13, 6), (7, 19), (33, 16), (32, 19), (30, 18), (19, 34), (8, 7), (7, 1), (31, 31), (18, 26), (9, 31), (31, 11), (29, 4), (0, 23), (25, 25), (28, 35), (32, 8), (6, 34), (27, 25), (36, 22), (10, 5), (21, 10), (33, 13), (25, 10), (36, 19), (20, 13), (3, 10), (29, 19), (33, 7), (31, 12), (5, 27), (4, 14), (31, 15), (18, 7), (18, 33), (22, 35), (16, 26), (23, 35), (3, 27), (26, 21), (34, 26), (12, 10), (7, 3), (32, 27), (35, 33), (26, 16), (18, 5), (28, 8), (21, 22), (38, 20), (30, 5), (18, 11), (20, 7), (16, 28), (36, 18), (18, 30), (21, 11), (27, 13), (16, 11), (7, 12), (23, 23), (25, 17), (36, 23), (0, 32), (23, 7), (30, 15), (26, 31), (15, 32), (37, 11), (3, 0), (8, 30), (35, 10), (19, 1), (23, 29), (1, 20), (4, 23), (30, 35), (7, 20), (20, 34), (10, 33), (25, 18), (1, 18), (31, 4), (18, 6), (2, 31), (11, 15), (3, 18), (18, 9), (2, 13), (12, 1), (18, 21), (20, 3), (18, 24), (26, 22), (15, 13), (24, 2), (36, 11), (16, 21), (8, 28), (8, 24), (2, 7), (32, 6), (17, 0), (18, 17), (15, 11), (23, 10), (23, 33), (18, 10), (37, 5), (11, 35), (24, 21), (28, 3), (1, 13), (30, 23), (6, 9), (17, 27), (20, 33), (12, 13), (8, 23), (13, 17), (3, 26), (37, 15), (20, 24), (7, 23), (16, 20), (12, 18), (16, 3), (11, 9), (13, 5), (32, 20), (35, 12), (15, 5), (2, 20), (25, 29), (36, 2), (12, 0), (2, 10), (13, 23), (2, 6), (38, 6), (4, 34), (26, 3), (31, 6), (15, 2), (30, 26), (2, 29), (25, 7), (35, 34), (27, 30), (7, 4), (15, 25), (4, 20), (0, 26), (33, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 23), (1, 25), (13, 9), (29, 6), (12, 26), (23, 14), (15, 13), (18, 29), (22, 24), (26, 2), (15, 17), (13, 16), (13, 6), (7, 21), (21, 22), (18, 23), (24, 10), (1, 8), (27, 29), (4, 7), (6, 15), (23, 26), (19, 16), (28, 8), (19, 1), (29, 4), (14, 27), (20, 21), (12, 0), (20, 3), (22, 14), (13, 17), (5, 27), (12, 18), (6, 18), (26, 3), (26, 1), (23, 2), (5, 17), (0, 5), (15, 18), (11, 17), (7, 10), (0, 19), (18, 10), (2, 20), (20, 8), (14, 13), (1, 3), (21, 16), (12, 29), (6, 7), (6, 0), (19, 22), (9, 14), (15, 28), (0, 10), (28, 3), (24, 0), (25, 24), (12, 13), (25, 27), (21, 14), (3, 25), (19, 8), (10, 5), (29, 9), (27, 1), (21, 7), (25, 6), (24, 15), (1, 23), (24, 12), (29, 17), (16, 29), (10, 20), (22, 15), (7, 3), (17, 2), (29, 24), (16, 27), (18, 8), (9, 6), (10, 7), (21, 4), (6, 16), (4, 29), (29, 0), (17, 24), (2, 10), (11, 7), (26, 11), (9, 8), (22, 22), (2, 8), (12, 24), (12, 22), (27, 23), (23, 15), (26, 25), (2, 21), (22, 26), (5, 18), (3, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 32x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 29), (11, 8), (31, 13), (0, 12), (22, 30), (8, 30), (10, 34), (13, 10), (20, 17), (9, 27), (31, 24), (9, 28), (7, 32), (8, 12), (23, 13), (28, 10), (16, 29), (17, 18), (16, 4), (10, 10), (11, 1), (27, 14), (7, 36), (13, 33), (14, 4), (3, 36), (10, 16), (7, 4), (22, 9), (6, 21), (16, 20), (0, 35), (25, 18), (0, 1), (24, 22), (10, 24), (21, 35), (14, 28), (17, 30), (11, 21), (27, 3), (26, 18), (19, 0), (28, 12), (24, 9), (29, 19), (4, 27), (21, 17), (20, 21), (8, 0), (7, 0), (26, 17), (0, 26), (28, 13), (26, 29), (3, 18), (7, 18), (18, 35), (2, 12), (12, 26), (10, 11), (3, 25), (10, 0), (10, 8), (11, 27), (17, 6), (8, 9), (15, 29), (5, 26), (14, 17), (5, 17), (23, 12), (14, 23), (10, 9), (3, 31), (15, 18), (28, 29), (23, 19), (8, 33), (25, 0), (16, 5), (18, 33), (12, 34), (0, 22), (10, 12), (0, 14), (30, 0), (2, 20), (31, 7), (18, 29), (1, 16), (5, 8), (6, 15), (28, 33), (21, 19), (7, 11), (29, 17), (17, 32), (16, 14), (19, 13), (14, 26), (19, 24), (3, 20), (2, 16), (9, 8), (2, 13), (11, 6), (15, 19), (20, 20), (7, 3), (0, 36), (27, 6), (15, 14), (2, 11), (14, 34), (28, 8), (21, 7), (28, 3), (14, 8), (22, 21), (25, 32), (2, 0), (19, 3), (2, 10), (27, 32), (30, 13), (18, 28), (30, 36), (7, 34), (29, 25), (0, 27), (0, 34), (2, 8), (19, 25), (28, 27), (20, 0), (29, 34), (20, 26), (21, 14), (9, 18), (28, 28), (13, 21), (19, 11), (27, 27), (30, 22), (15, 10), (19, 10), (24, 8), (16, 32), (18, 12), (11, 9), (15, 34), (16, 30), (11, 30), (21, 29), (2, 22), (6, 12), (1, 13), (11, 18), (4, 17), (25, 24), (21, 34), (11, 24), (11, 7), (0, 23), (13, 24), (11, 2), (29, 16), (2, 30), (29, 13), (6, 23), (24, 25), (18, 22), (9, 3), (12, 4), (14, 29), (15, 30), (8, 3), (20, 15), (29, 4), (4, 9), (27, 15), (13, 18), (8, 35), (8, 2), (21, 12), (15, 3), (20, 27), (3, 1), (8, 22), (24, 35), (31, 34), (3, 0), (23, 7), (20, 23), (31, 17), (3, 33), (7, 29), (16, 0), (0, 8), (12, 18), (27, 36), (20, 4), (24, 33), (16, 36), (13, 35), (23, 10), (31, 2), (31, 16), (31, 29), (12, 3), (10, 25), (16, 25), (17, 7), (3, 23), (11, 31), (4, 1), (24, 2), (8, 4), (15, 8), (8, 19), (14, 10), (31, 6), (11, 33), (0, 11), (4, 29), (14, 20), (26, 30), (19, 12), (16, 33), (26, 21), (28, 19), (2, 35), (8, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 36x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 1), (7, 26), (10, 7), (15, 2), (32, 13), (16, 26), (15, 16), (7, 22), (6, 15), (0, 20), (23, 3), (17, 30), (7, 5), (33, 14), (14, 18), (1, 18), (14, 32), (21, 0), (6, 19), (23, 7), (5, 17), (24, 0), (34, 28), (15, 30), (13, 6), (3, 8), (12, 12), (6, 17), (18, 31), (30, 14), (29, 19), (3, 13), (13, 2), (30, 21), (13, 4), (4, 21), (6, 8), (35, 23), (0, 14), (2, 18), (10, 11), (23, 27), (23, 11), (0, 22), (31, 6), (27, 16), (12, 8), (3, 10), (8, 19), (10, 12), (0, 28), (31, 23), (6, 12), (34, 23), (34, 6), (34, 11), (18, 11), (2, 13), (10, 8), (13, 10), (33, 13), (17, 21), (26, 18), (27, 30), (18, 25), (5, 16), (12, 2), (8, 2), (22, 15), (19, 10), (27, 14), (10, 3), (12, 5), (3, 23), (19, 29), (0, 17), (28, 22), (20, 14), (11, 5), (30, 8), (27, 18), (20, 18), (8, 18), (35, 28), (18, 22), (10, 29), (33, 3), (1, 11), (20, 5), (9, 31), (20, 8), (23, 16), (20, 0), (11, 15), (5, 6), (3, 12), (5, 11), (23, 9), (20, 24), (27, 24), (12, 6), (32, 3), (13, 27), (13, 0), (11, 24), (3, 2), (18, 19), (30, 25), (26, 14), (22, 19), (25, 1), (5, 9), (34, 32), (29, 14), (5, 20), (12, 13), (22, 31), (13, 16), (4, 2), (33, 19), (22, 4), (13, 5), (31, 25), (31, 21), (1, 7), (11, 17), (2, 31), (33, 2), (12, 19), (5, 22), (18, 24), (5, 12), (34, 22), (19, 6), (10, 4), (35, 6), (15, 17), (32, 23), (16, 13), (27, 20), (21, 14), (4, 28), (23, 18), (27, 17), (3, 17), (21, 18), (32, 8), (34, 18), (35, 8), (12, 32), (2, 17), (8, 16), (9, 21), (27, 1), (17, 4), (11, 18), (10, 19), (0, 24), (17, 19), (32, 10), (15, 15), (35, 11), (29, 12), (7, 19), (9, 12), (25, 11), (5, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 17), (17, 15), (5, 2), (22, 26), (10, 22), (26, 29), (20, 29), (23, 8), (6, 23), (20, 26), (21, 13), (18, 11), (25, 5), (9, 20), (10, 11), (26, 20), (19, 18), (19, 29), (4, 19), (3, 16), (29, 19), (21, 17), (27, 7), (18, 29), (8, 7), (16, 28), (7, 3), (20, 8), (12, 21), (18, 28), (7, 12), (29, 23), (0, 11), (26, 0), (8, 5), (4, 26), (1, 22), (19, 12), (18, 24), (27, 12), (0, 10), (25, 22), (7, 11), (22, 6), (8, 27), (28, 19), (15, 6), (16, 15), (20, 3), (26, 5), (15, 24), (11, 30), (5, 28), (11, 14), (21, 21), (6, 21), (19, 10), (20, 25), (7, 7), (21, 11), (1, 2), (12, 4), (8, 29), (3, 21), (11, 2), (10, 27), (12, 5), (27, 5), (16, 24), (11, 21), (25, 9), (14, 15), (16, 14), (4, 1), (19, 19), (12, 29), (16, 17), (27, 20), (28, 8), (20, 9), (16, 25), (12, 8), (14, 9), (29, 21), (25, 15), (8, 25), (8, 16), (27, 11), (0, 7), (17, 3), (22, 23), (20, 11), (8, 0), (14, 10), (5, 0), (7, 13), (24, 12), (7, 26), (7, 22), (2, 11), (24, 6), (13, 0), (28, 13), (22, 20), (7, 18), (20, 21), (4, 28), (16, 8), (25, 20), (11, 6), (26, 3), (6, 5), (22, 24), (16, 21), (3, 10), (15, 27), (13, 2), (26, 1), (9, 6), (28, 26), (12, 6), (1, 3), (28, 12), (23, 23), (19, 8), (8, 10), (14, 23), (19, 23), (15, 5), (20, 1), (26, 18), (17, 21), (28, 4), (28, 23), (29, 25), (23, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 9), (18, 31), (20, 0), (6, 24), (4, 11), (9, 16), (16, 25), (12, 1), (21, 1), (19, 12), (20, 1), (27, 25), (21, 22), (15, 26), (6, 10), (5, 25), (9, 27), (12, 27), (5, 16), (20, 16), (18, 35), (14, 28), (29, 9), (2, 17), (22, 17), (26, 17), (22, 5), (25, 16), (4, 27), (6, 11), (22, 16), (21, 19), (13, 25), (25, 27), (7, 25), (27, 13), (23, 31), (5, 12), (18, 13), (29, 18), (10, 18), (28, 19), (23, 5), (9, 34), (21, 23), (21, 7), (18, 18), (15, 31), (29, 33), (21, 26), (8, 33), (3, 33), (16, 2), (21, 16), (25, 18), (21, 3), (29, 34), (27, 11), (25, 13), (16, 5), (14, 0), (13, 26), (4, 15), (8, 14), (1, 7), (3, 3), (25, 6), (4, 14), (4, 18), (6, 18), (15, 19), (17, 17), (8, 7), (15, 22), (6, 19), (6, 6), (7, 7), (11, 16), (24, 33), (10, 1), (29, 5), (2, 29), (13, 27), (12, 20), (29, 2), (0, 23), (0, 20), (7, 29), (4, 19), (26, 16), (1, 10), (29, 4), (15, 20), (5, 5), (16, 30), (11, 13), (11, 28), (5, 35), (25, 17), (10, 12), (9, 5), (21, 28), (25, 26), (0, 25), (16, 12), (26, 23), (28, 25), (28, 3), (24, 7), (6, 7), (21, 17), (17, 36), (17, 6), (24, 17), (17, 2), (10, 13), (6, 29), (10, 26), (19, 9), (29, 11), (19, 2), (26, 3), (12, 24), (9, 4), (0, 29), (19, 35), (29, 24), (21, 11), (21, 29), (25, 15), (8, 5), (1, 6), (25, 23), (11, 25), (0, 2), (23, 36), (19, 20), (2, 27), (22, 14), (23, 0), (25, 35), (11, 23), (15, 2), (17, 7), (14, 33), (15, 3), (11, 20), (16, 21), (11, 11), (20, 8), (16, 27), (26, 25), (7, 0), (3, 24), (16, 0), (29, 14), (14, 17), (24, 5), (15, 24), (16, 15), (13, 21), (11, 4), (2, 36), (12, 14), (25, 0), (16, 24), (10, 19), (25, 36), (13, 18), (20, 32), (23, 8), (15, 14), (26, 4), (23, 28), (24, 29), (0, 4), (21, 13), (9, 32), (29, 10), (15, 11), (2, 25), (21, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 30x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 27), (26, 10), (29, 16), (29, 3), (20, 11), (14, 24), (18, 24), (6, 20), (6, 7), (14, 26), (8, 1), (10, 25), (23, 13), (11, 29), (19, 12), (6, 19), (25, 19), (2, 18), (5, 23), (26, 27), (17, 22), (16, 16), (1, 18), (9, 14), (5, 10), (5, 9), (14, 8), (7, 20), (15, 4), (26, 21), (5, 22), (13, 4), (5, 29), (16, 20), (9, 26), (10, 2), (8, 7), (17, 0), (6, 11), (27, 15), (19, 13), (12, 0), (3, 23), (17, 27), (29, 18), (25, 7), (4, 3), (9, 5), (14, 7), (26, 6), (9, 9), (9, 27), (3, 3), (5, 8), (1, 7), (15, 28), (3, 17), (5, 24), (22, 21), (10, 28), (25, 9), (16, 22), (28, 9), (19, 11), (25, 3), (2, 15), (17, 16), (24, 24), (7, 9), (28, 2), (2, 9), (2, 7), (0, 7), (13, 19), (10, 9), (4, 18), (1, 17), (17, 17), (2, 17), (2, 29), (27, 10), (23, 18), (4, 25), (8, 24), (6, 28), (24, 17), (17, 18), (23, 12), (7, 1), (23, 14), (8, 22), (8, 26), (2, 25), (12, 3), (14, 22), (14, 5), (20, 25), (18, 9), (0, 2), (18, 15), (24, 16), (27, 25), (10, 7), (5, 28), (16, 29), (25, 15), (14, 15), (25, 13), (24, 9), (16, 0), (3, 16), (20, 29), (25, 25), (21, 22), (20, 28), (21, 3), (9, 6), (6, 2), (3, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (36, 23), (21, 38), (19, 13), (3, 34), (27, 37), (16, 22), (32, 35), (28, 3), (21, 33), (22, 11), (27, 36), (36, 15), (11, 27), (20, 10), (6, 17), (9, 13), (5, 22), (33, 0), (33, 20), (14, 33), (1, 5), (1, 32), (26, 12), (1, 14), (17, 27), (37, 32), (3, 31), (25, 36), (9, 4), (25, 27), (2, 1), (6, 30), (11, 13), (23, 34), (34, 9), (21, 21), (28, 26), (3, 22), (33, 32), (25, 20), (15, 25), (3, 24), (31, 21), (7, 32), (26, 25), (33, 27), (24, 36), (15, 22), (2, 2), (36, 26), (26, 11), (28, 23), (22, 32), (28, 11), (9, 14), (31, 16), (14, 2), (22, 25), (5, 18), (14, 4), (13, 31), (32, 31), (34, 18), (5, 21), (28, 14), (13, 29), (9, 19), (28, 12), (36, 13), (6, 16), (35, 19), (4, 14), (36, 24), (9, 9), (12, 32), (11, 10), (0, 5), (13, 3), (37, 18), (34, 14), (6, 34), (36, 5), (0, 4), (25, 35), (13, 32), (26, 16), (5, 19), (11, 3), (12, 34), (31, 37), (10, 10), (16, 31), (37, 22), (11, 4), (18, 6), (25, 18), (5, 1), (6, 8), (29, 30), (4, 35), (23, 14), (20, 30), (21, 23), (8, 19), (15, 12), (29, 1), (11, 18), (12, 6), (6, 36), (23, 2), (1, 23), (0, 2), (3, 37), (36, 18), (16, 20), (14, 26), (5, 6), (20, 13), (6, 14), (25, 5), (31, 25), (6, 10), (18, 38), (4, 30), (27, 15), (0, 6), (24, 14), (23, 27), (21, 10), (17, 30), (14, 15), (32, 9), (18, 3), (12, 13), (35, 33), (33, 28), (32, 0), (18, 29), (16, 36), (0, 32), (33, 19), (36, 11), (11, 26), (15, 13), (6, 15), (27, 20), (19, 6), (21, 7), (27, 12), (37, 8), (10, 23), (27, 6), (6, 25), (25, 37), (19, 20), (10, 21), (10, 7), (6, 20), (3, 9), (0, 31), (0, 22), (25, 33), (18, 33), (9, 33), (13, 24), (6, 31), (8, 17), (2, 3), (7, 33), (12, 0), (31, 13), (15, 0), (5, 14), (24, 35), (2, 17), (31, 12), (2, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 23), (4, 19), (17, 15), (15, 15), (6, 28), (14, 26), (3, 8), (1, 1), (13, 1), (29, 9), (30, 22), (27, 6), (3, 21), (15, 35), (19, 20), (26, 27), (28, 33), (21, 10), (11, 6), (5, 16), (1, 16), (5, 21), (10, 28), (22, 20), (23, 28), (3, 23), (22, 32), (26, 10), (6, 9), (13, 27), (19, 8), (12, 0), (16, 3), (11, 17), (9, 36), (19, 7), (0, 34), (13, 12), (23, 2), (26, 30), (19, 5), (7, 11), (16, 20), (22, 24), (4, 36), (10, 13), (28, 0), (23, 23), (5, 31), (29, 36), (27, 30), (0, 31), (5, 3), (11, 27), (26, 24), (8, 0), (21, 29), (20, 19), (1, 26), (2, 9), (23, 18), (13, 22), (28, 18), (4, 10), (6, 29), (8, 10), (12, 20), (21, 32), (18, 22), (7, 1), (24, 29), (25, 18), (0, 15), (8, 30), (10, 17), (27, 21), (1, 17), (16, 14), (14, 35), (17, 9), (19, 1), (5, 14), (18, 6), (11, 7), (29, 15), (2, 22), (22, 29), (12, 14), (14, 7), (7, 27), (6, 32), (20, 26), (18, 23), (3, 5), (23, 21), (9, 24), (21, 34), (24, 5), (5, 22), (5, 35), (21, 20), (22, 14), (25, 8), (12, 9), (4, 16), (19, 23), (20, 7), (0, 17), (20, 15), (15, 16), (10, 0), (6, 14), (19, 30), (12, 29), (3, 15), (16, 7), (4, 30), (28, 25), (21, 25), (11, 29), (23, 3), (27, 4), (12, 3), (8, 5), (25, 11), (26, 1), (6, 5), (24, 26), (20, 30), (12, 10), (4, 29), (21, 19), (2, 34), (30, 5), (2, 19), (3, 10), (8, 1), (4, 17), (26, 18), (5, 32), (1, 33), (4, 11), (19, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 22), (6, 31), (16, 34), (14, 21), (21, 12), (19, 16), (14, 37), (23, 26), (30, 12), (26, 5), (13, 34), (30, 8), (28, 5), (18, 5), (18, 21), (9, 5), (21, 32), (20, 31), (2, 28), (13, 4), (23, 27), (27, 34), (22, 22), (16, 16), (24, 28), (12, 25), (5, 4), (28, 29), (11, 12), (7, 15), (26, 20), (21, 37), (29, 37), (19, 22), (3, 1), (3, 18), (25, 9), (22, 37), (23, 30), (0, 18), (15, 32), (18, 19), (9, 35), (8, 15), (5, 27), (25, 11), (11, 6), (11, 0), (1, 18), (23, 8), (27, 12), (24, 13), (21, 26), (11, 21), (4, 32), (28, 11), (17, 13), (19, 17), (19, 1), (9, 14), (11, 34), (2, 22), (16, 14), (21, 7), (9, 17), (10, 26), (10, 3), (7, 21), (24, 19), (11, 28), (12, 11), (30, 25), (7, 23), (8, 3), (8, 10), (17, 19), (15, 25), (1, 15), (16, 36), (8, 27), (17, 14), (16, 10), (8, 2), (13, 11), (13, 15), (16, 15), (14, 15), (3, 2), (3, 13), (22, 16), (20, 0), (19, 19), (7, 22), (4, 3), (8, 1), (18, 25), (5, 19), (30, 19), (4, 31), (16, 29), (1, 19), (30, 30), (12, 7), (0, 19), (30, 31), (1, 1), (20, 9), (16, 21), (16, 27), (10, 16), (1, 14), (7, 19), (19, 15), (9, 8), (6, 25), (24, 11), (24, 18), (13, 8), (1, 32), (25, 21), (3, 35), (9, 27), (27, 2), (29, 16), (24, 26), (29, 4), (20, 6), (2, 20), (24, 2), (2, 3), (0, 15), (6, 26), (15, 27), (24, 29), (7, 31), (8, 36), (21, 19), (29, 12), (19, 12), (15, 6), (10, 24), (14, 35), (28, 31), (28, 26), (4, 22), (17, 8), (26, 26), (18, 6), (28, 15), (27, 16), (25, 0), (30, 28), (22, 8), (29, 2), (12, 36), (19, 7), (24, 4), (7, 8), (18, 35), (3, 22), (27, 32), (2, 7), (18, 7), (13, 7), (28, 17), (3, 37), (14, 33), (16, 20), (4, 9), (29, 13), (3, 10), (17, 32), (9, 25), (12, 15), (7, 14), (13, 16), (26, 31), (17, 6), (11, 32), (5, 13), (14, 31), (7, 6), (2, 10), (20, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 30), (13, 5), (4, 5), (20, 0), (25, 2), (3, 22), (26, 24), (30, 12), (33, 33), (26, 30), (33, 12), (16, 13), (34, 36), (12, 22), (8, 20), (31, 20), (23, 31), (27, 8), (33, 5), (20, 25), (3, 2), (1, 34), (19, 18), (21, 31), (25, 37), (8, 7), (31, 27), (13, 0), (16, 19), (8, 17), (2, 31), (3, 7), (23, 0), (35, 0), (20, 24), (27, 37), (34, 22), (26, 23), (27, 13), (9, 5), (22, 17), (14, 23), (2, 7), (18, 14), (30, 21), (6, 19), (34, 18), (25, 36), (4, 29), (16, 7), (17, 9), (7, 33), (19, 9), (0, 33), (2, 20), (0, 8), (12, 2), (15, 35), (13, 11), (32, 6), (22, 20), (24, 33), (5, 34), (29, 22), (10, 17), (33, 3), (28, 4), (7, 19), (2, 1), (11, 0), (8, 0), (29, 11), (6, 35), (17, 1), (11, 27), (4, 36), (22, 14), (22, 10), (2, 24), (25, 33), (24, 20), (19, 24), (35, 27), (16, 11), (4, 20), (34, 25), (10, 5), (24, 34), (25, 5), (4, 2), (5, 36), (18, 0), (8, 16), (2, 22), (4, 28), (13, 20), (34, 33), (26, 31), (10, 7), (5, 18), (35, 19), (11, 22), (21, 24), (29, 25), (20, 14), (11, 11), (5, 24), (10, 4), (0, 23), (3, 0), (15, 21), (25, 28), (3, 26), (15, 26), (3, 19), (12, 31), (10, 28), (24, 15), (21, 27), (5, 30), (6, 20), (32, 24), (26, 34), (1, 1), (9, 11), (35, 8), (9, 13), (31, 3), (2, 3), (32, 18), (23, 10), (29, 32), (9, 31), (4, 15), (19, 34), (31, 13), (21, 6), (1, 18), (25, 25), (27, 23), (11, 36), (9, 28), (27, 33), (16, 34), (15, 13), (16, 37), (2, 19), (11, 24), (22, 3), (28, 10), (17, 33), (6, 5), (16, 14), (19, 14), (32, 0), (30, 35), (31, 6), (1, 26), (11, 13), (4, 27), (19, 31), (5, 9), (13, 12), (8, 5), (34, 4), (24, 12), (10, 3), (25, 3), (15, 7), (9, 24), (1, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 15), (21, 17), (14, 17), (31, 25), (8, 17), (2, 28), (9, 18), (11, 7), (38, 12), (1, 27), (7, 26), (33, 10), (24, 16), (2, 0), (32, 5), (11, 27), (33, 12), (23, 19), (5, 29), (21, 3), (20, 3), (24, 24), (11, 10), (19, 8), (21, 13), (3, 6), (28, 1), (32, 12), (10, 10), (10, 0), (37, 26), (27, 13), (11, 16), (19, 25), (37, 17), (1, 25), (26, 12), (1, 19), (15, 29), (28, 6), (30, 28), (21, 0), (21, 23), (6, 7), (23, 28), (8, 7), (29, 7), (24, 17), (20, 19), (9, 10), (6, 6), (2, 8), (12, 6), (19, 27), (20, 2), (14, 28), (3, 8), (0, 6), (36, 29), (8, 21), (12, 27), (27, 21), (15, 11), (31, 16), (14, 4), (15, 10), (13, 11), (31, 29), (0, 3), (16, 6), (19, 17), (4, 19), (10, 17), (12, 10), (12, 29), (13, 0), (21, 2), (20, 7), (6, 2), (29, 12), (18, 25), (4, 13), (11, 20), (36, 11), (28, 3), (33, 27), (35, 20), (24, 8), (9, 21), (22, 0), (32, 9), (32, 0), (27, 15), (23, 7), (4, 21), (6, 4), (8, 18), (25, 5), (18, 8), (32, 22), (11, 19), (22, 5), (31, 18), (23, 5), (20, 1), (31, 10), (36, 19), (35, 16), (18, 21), (12, 30), (38, 19), (25, 8), (27, 1), (13, 20), (18, 19), (10, 28), (15, 24), (26, 13), (33, 11), (38, 29), (30, 3), (11, 0), (25, 1), (12, 1), (33, 22), (35, 29), (38, 8), (13, 27), (12, 22), (5, 4), (5, 17), (11, 17), (21, 25), (37, 11), (6, 14), (16, 30), (9, 14), (25, 2), (23, 18), (20, 20), (23, 26), (32, 21), (17, 6), (38, 27), (25, 28), (29, 5), (14, 26), (33, 14), (16, 2), (2, 29), (37, 12), (33, 2), (10, 12), (36, 16), (20, 11), (36, 12), (5, 15), (24, 10), (1, 12), (26, 22), (16, 22), (22, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 8), (25, 29), (0, 25), (14, 36), (16, 33), (6, 8), (17, 3), (4, 4), (21, 7), (9, 27), (29, 12), (0, 31), (27, 4), (27, 3), (8, 5), (29, 29), (16, 15), (2, 25), (12, 15), (9, 8), (10, 13), (10, 34), (22, 22), (27, 19), (5, 16), (24, 24), (29, 31), (21, 3), (6, 11), (4, 36), (3, 21), (9, 0), (20, 13), (4, 12), (22, 7), (11, 28), (24, 8), (20, 23), (9, 19), (17, 2), (21, 35), (12, 29), (17, 15), (18, 22), (13, 4), (24, 5), (22, 11), (8, 1), (4, 24), (13, 8), (15, 23), (18, 32), (6, 28), (18, 13), (28, 18), (20, 35), (16, 35), (13, 17), (3, 8), (17, 27), (25, 21), (24, 1), (1, 36), (19, 24), (23, 4), (3, 27), (28, 1), (22, 19), (10, 2), (24, 30), (9, 18), (13, 19), (29, 7), (19, 32), (13, 20), (28, 30), (24, 11), (6, 0), (27, 33), (28, 31), (25, 24), (21, 21), (8, 21), (13, 30), (18, 19), (8, 36), (15, 19), (2, 15), (8, 29), (13, 9), (7, 33), (26, 3), (11, 6), (23, 35), (10, 31), (11, 2), (6, 16), (6, 27), (5, 20), (21, 0), (26, 16), (3, 9), (3, 18), (1, 20), (3, 33), (24, 17), (3, 5), (29, 22), (4, 1), (19, 5), (3, 12), (4, 7), (11, 29), (16, 6), (21, 33), (15, 25), (8, 11), (9, 16), (26, 33), (0, 6), (22, 14), (21, 25), (5, 19), (23, 36), (20, 2), (17, 1), (25, 1), (20, 8), (11, 11), (22, 3), (8, 28), (11, 4), (5, 35), (17, 0), (28, 14), (22, 6), (9, 4), (17, 36), (8, 32), (27, 12), (26, 7), (12, 28), (16, 16), (6, 2), (12, 2), (0, 3), (17, 20), (13, 34), (21, 4), (13, 35), (13, 11), (9, 32), (22, 24), (21, 6), (17, 21), (12, 34), (21, 13), (22, 17), (18, 12), (12, 26), (24, 21), (12, 16), (19, 29), (18, 36), (5, 34), (1, 2), (20, 11), (7, 32), (6, 19), (12, 33), (2, 21), (1, 7), (11, 5), (27, 20), (20, 12), (0, 12), (3, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 18), (34, 15), (13, 7), (27, 7), (2, 16), (21, 29), (8, 2), (19, 5), (1, 27), (8, 13), (14, 4), (33, 13), (5, 2), (29, 13), (19, 12), (24, 11), (2, 22), (30, 2), (3, 21), (14, 22), (22, 1), (23, 21), (4, 13), (6, 25), (18, 15), (22, 22), (13, 24), (1, 18), (35, 1), (7, 21), (16, 23), (6, 27), (35, 24), (32, 7), (27, 28), (34, 11), (33, 18), (35, 20), (2, 17), (21, 6), (20, 9), (26, 10), (3, 14), (13, 4), (1, 16), (32, 13), (34, 1), (6, 13), (18, 5), (25, 16), (9, 15), (27, 3), (18, 16), (30, 29), (25, 1), (0, 1), (10, 6), (3, 0), (21, 18), (2, 0), (1, 14), (14, 20), (3, 3), (7, 2), (20, 7), (23, 16), (17, 2), (22, 21), (18, 28), (1, 13), (28, 25), (18, 7), (5, 23), (6, 8), (23, 5), (28, 24), (1, 7), (0, 25), (13, 0), (11, 7), (2, 24), (3, 15), (0, 16), (31, 11), (10, 11), (4, 5), (20, 12), (21, 14), (12, 4), (31, 28), (21, 10), (15, 7), (4, 29), (19, 13), (16, 0), (35, 12), (3, 17), (25, 19), (1, 29), (5, 14), (11, 2), (23, 27), (18, 2), (18, 9), (26, 14), (0, 15), (3, 26), (9, 12), (5, 8), (31, 25), (10, 7), (4, 1), (20, 6), (11, 6), (6, 5), (7, 8), (18, 18), (2, 6), (18, 14), (11, 21), (29, 1), (6, 24), (19, 17), (32, 28), (23, 15), (11, 3), (11, 12), (35, 19), (21, 1), (20, 2), (10, 16), (24, 17), (11, 25), (1, 12), (27, 13), (33, 0), (17, 19), (31, 16), (3, 13), (24, 22), (20, 1), (26, 18), (2, 2), (3, 23), (21, 8), (17, 12), (27, 24), (13, 22), (24, 14), (13, 14), (6, 21), (26, 16), (1, 5), (29, 2), (28, 29), (31, 18), (15, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 12), (25, 10), (15, 13), (13, 29), (7, 27), (12, 10), (19, 30), (4, 27), (2, 1), (5, 28), (11, 23), (11, 18), (6, 3), (9, 14), (11, 13), (21, 4), (1, 3), (23, 4), (0, 10), (13, 10), (9, 16), (12, 22), (12, 19), (4, 4), (29, 23), (24, 28), (26, 29), (0, 15), (20, 22), (8, 11), (17, 19), (17, 3), (3, 25), (18, 28), (17, 2), (15, 9), (28, 28), (0, 27), (3, 18), (19, 26), (1, 28), (7, 14), (16, 15), (3, 24), (15, 17), (17, 9), (19, 11), (11, 4), (1, 21), (27, 13), (17, 6), (22, 25), (4, 5), (23, 13), (13, 1), (13, 0), (10, 14), (9, 2), (10, 20), (0, 11), (4, 21), (10, 27), (9, 26), (10, 17), (25, 13), (1, 1), (14, 27), (13, 20), (19, 23), (11, 14), (16, 2), (8, 3), (13, 8), (28, 21), (6, 6), (1, 8), (19, 22), (25, 23), (24, 10), (24, 11), (13, 24), (15, 18), (14, 26), (9, 11), (25, 16), (25, 8), (24, 8), (23, 11), (29, 13), (16, 29), (0, 7), (0, 20), (14, 3), (17, 10), (10, 13), (19, 16), (4, 1), (14, 16), (26, 13), (26, 22), (19, 18), (19, 25), (22, 17), (11, 26), (13, 2), (13, 17), (12, 2), (1, 29), (24, 31), (12, 11), (19, 9), (8, 27), (2, 10), (20, 11), (9, 8), (15, 21), (27, 26), (5, 26), (10, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 16), (9, 9), (26, 7), (6, 33), (9, 4), (18, 10), (8, 16), (6, 37), (11, 28), (33, 35), (9, 29), (31, 25), (3, 37), (1, 27), (33, 2), (23, 16), (6, 15), (31, 12), (25, 33), (2, 1), (12, 24), (12, 7), (3, 22), (4, 31), (27, 6), (16, 26), (33, 0), (21, 4), (33, 5), (4, 0), (31, 13), (33, 16), (19, 12), (3, 27), (19, 14), (6, 24), (0, 37), (20, 6), (24, 4), (28, 19), (30, 19), (16, 32), (15, 9), (21, 20), (17, 27), (17, 7), (34, 9), (13, 2), (17, 9), (8, 12), (23, 26), (1, 7), (10, 35), (26, 26), (1, 12), (31, 36), (18, 17), (5, 29), (21, 3), (22, 4), (2, 21), (10, 36), (17, 10), (9, 5), (3, 33), (25, 10), (16, 30), (12, 23), (14, 0), (2, 29), (8, 13), (33, 9), (19, 9), (7, 33), (14, 7), (4, 37), (27, 32), (14, 1), (1, 20), (22, 17), (5, 2), (30, 28), (27, 33), (21, 35), (19, 28), (21, 17), (30, 31), (33, 37), (34, 16), (29, 11), (9, 26), (15, 2), (2, 33), (34, 21), (13, 28), (15, 18), (11, 24), (17, 1), (3, 35), (4, 26), (28, 11), (21, 24), (10, 31), (33, 10), (7, 20), (29, 30), (20, 32), (9, 1), (8, 14), (10, 22), (0, 14), (16, 25), (7, 26), (34, 25), (1, 16), (26, 15), (12, 20), (29, 3), (16, 27), (0, 8), (13, 35), (10, 4), (22, 34), (25, 32), (26, 6), (3, 12), (14, 11), (23, 19), (7, 25), (10, 27), (30, 33), (22, 37), (15, 13), (14, 15), (17, 32), (28, 16), (20, 30), (17, 5), (1, 8), (31, 19), (3, 29), (31, 21), (5, 34), (31, 34), (13, 12), (31, 4), (8, 5), (28, 4), (11, 13), (11, 2), (30, 24), (18, 31), (20, 10), (3, 17), (5, 20), (27, 25), (3, 26), (30, 5), (3, 20), (8, 19), (32, 32), (12, 22), (27, 18), (22, 29), (7, 5), (26, 22), (24, 8), (19, 21), (25, 11), (23, 20), (11, 16), (1, 19), (26, 27), (14, 32), (30, 11), (10, 11), (11, 6), (29, 7), (11, 3), (9, 7), (31, 27), (29, 20), (8, 34), (25, 31), (26, 20), (30, 21), (2, 20), (5, 33), (34, 20), (16, 16), (11, 11), (5, 37), (11, 31), (27, 7), (16, 6), (7, 27), (5, 18), (1, 15), (25, 2), (30, 20), (33, 14), (25, 36), (4, 20), (29, 23), (34, 27), (30, 26), (14, 27), (17, 6), (0, 9), (23, 17), (18, 11), (29, 9), (20, 28), (16, 9), (0, 36), (8, 20), (7, 3), (3, 2), (15, 30), (18, 1), (14, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 36), (23, 18), (2, 30), (2, 14), (11, 4), (1, 15), (20, 10), (10, 34), (16, 20), (3, 27), (6, 34), (7, 19), (10, 26), (22, 28), (19, 35), (15, 14), (16, 7), (14, 2), (32, 34), (11, 11), (32, 26), (21, 9), (19, 16), (7, 11), (5, 20), (32, 19), (11, 14), (1, 18), (5, 35), (29, 31), (6, 32), (31, 12), (30, 18), (28, 15), (10, 2), (5, 17), (12, 28), (27, 10), (16, 34), (9, 27), (3, 11), (4, 15), (6, 0), (16, 2), (18, 32), (27, 32), (29, 24), (34, 2), (24, 36), (17, 33), (23, 6), (32, 27), (11, 3), (27, 9), (23, 25), (9, 28), (31, 3), (28, 9), (26, 18), (17, 30), (27, 5), (9, 23), (17, 28), (2, 22), (22, 5), (1, 8), (1, 7), (23, 8), (2, 1), (17, 13), (7, 31), (3, 18), (10, 32), (22, 14), (6, 29), (12, 29), (2, 31), (26, 30), (25, 15), (19, 23), (31, 25), (34, 22), (27, 23), (25, 17), (4, 1), (3, 16), (28, 32), (11, 17), (30, 16), (21, 15), (26, 32), (32, 16), (18, 20), (3, 0), (10, 27), (30, 2), (13, 26), (25, 28), (24, 33), (3, 25), (14, 29), (29, 27), (29, 30), (25, 33), (16, 30), (21, 31), (18, 27), (5, 28), (8, 14), (0, 23), (32, 13), (31, 8), (17, 21), (23, 9), (29, 29), (33, 0), (16, 33), (24, 6), (28, 19), (0, 28), (19, 32), (25, 27), (31, 20), (28, 18), (15, 6), (30, 15), (11, 15), (7, 12), (18, 9), (7, 24), (10, 35), (20, 35), (7, 17), (28, 7), (6, 16), (3, 10), (10, 7), (4, 32), (2, 7), (21, 8), (31, 23), (24, 26), (29, 19), (33, 22), (14, 21), (1, 3), (19, 6), (33, 14), (13, 33), (17, 3), (7, 0), (16, 21), (19, 22), (27, 30), (30, 36), (21, 17), (23, 28), (4, 4), (4, 31), (17, 27), (1, 5), (5, 3), (34, 1), (0, 3), (22, 20), (15, 24), (24, 27), (12, 15), (11, 35), (21, 22), (33, 9), (24, 15), (7, 26), (7, 30), (18, 33), (20, 24), (6, 9), (11, 1), (20, 21), (26, 6), (28, 21), (18, 23), (27, 27), (0, 16), (20, 3), (31, 27), (12, 23), (13, 27), (19, 21), (27, 4), (5, 14), (5, 0), (33, 13), (20, 7), (23, 35), (17, 9), (17, 18), (13, 31), (32, 31), (15, 5), (29, 7), (34, 14), (32, 3), (17, 8), (33, 31), (3, 30), (23, 10), (26, 7), (27, 36), (27, 17), (3, 15), (20, 16), (0, 7), (28, 27), (2, 17), (16, 17), (5, 12), (5, 33), (23, 14), (31, 11), (31, 21), (27, 13), (31, 29), (3, 3), (10, 22), (9, 36), (3, 22), (5, 2), (23, 26), (34, 28), (34, 25), (19, 0), (20, 13), (19, 2), (24, 14), (25, 7), (17, 32), (15, 3), (8, 20), (2, 16), (23, 24), (31, 36), (15, 31), (32, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 3), (18, 29), (25, 20), (23, 29), (30, 3), (11, 15), (11, 5), (9, 13), (14, 20), (3, 28), (6, 16), (28, 7), (19, 9), (24, 0), (2, 15), (15, 7), (16, 26), (5, 22), (18, 16), (0, 8), (29, 9), (12, 31), (20, 11), (17, 24), (24, 32), (20, 9), (13, 17), (0, 22), (6, 12), (7, 2), (9, 11), (16, 23), (11, 31), (5, 1), (2, 22), (8, 14), (3, 18), (11, 25), (30, 26), (18, 14), (30, 8), (22, 30), (11, 30), (28, 26), (16, 28), (19, 21), (3, 25), (29, 11), (17, 30), (18, 30), (10, 31), (24, 3), (2, 12), (8, 4), (26, 7), (2, 28), (1, 6), (19, 4), (4, 9), (21, 3), (19, 27), (4, 10), (7, 17), (2, 14), (1, 28), (22, 28), (2, 18), (27, 7), (24, 7), (7, 22), (17, 23), (23, 6), (12, 30), (7, 25), (2, 20), (15, 1), (26, 29), (7, 0), (11, 22), (15, 25), (6, 21), (23, 11), (22, 9), (18, 27), (5, 26), (9, 20), (6, 4), (2, 8), (20, 8), (2, 13), (6, 32), (18, 25), (23, 2), (15, 21), (29, 19), (15, 28), (1, 22), (2, 31), (3, 3), (30, 2), (28, 28), (7, 6), (24, 10), (11, 19), (24, 31), (18, 21), (26, 10), (18, 6), (14, 31), (24, 14), (23, 19), (5, 14), (7, 10), (5, 21), (7, 27), (6, 19), (6, 5), (13, 24), (10, 4), (30, 27), (10, 25), (8, 31), (30, 4), (16, 25), (3, 6), (7, 1), (0, 3), (17, 27), (25, 18), (19, 6), (22, 1), (4, 18), (2, 27), (4, 26), (12, 15), (23, 0), (10, 32), (3, 11), (0, 13), (20, 13), (18, 5), (7, 7), (22, 10), (18, 12), (10, 7), (17, 3), (8, 2), (16, 14), (0, 27), (0, 31), (12, 18), (27, 26), (19, 15), (29, 15), (12, 16), (20, 25), (30, 23), (3, 4), (18, 13), (8, 27), (12, 26), (29, 29), (7, 9), (14, 4), (17, 25), (8, 20), (12, 22), (20, 30), (3, 5), (5, 20), (6, 0), (11, 28), (26, 14), (4, 23), (14, 7), (11, 7), (7, 15), (1, 24), (17, 21), (26, 21), (28, 30), (19, 20), (19, 11), (14, 30), (0, 10), (23, 17), (13, 29), (15, 32), (18, 26), (2, 6), (9, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 38x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 29), (27, 18), (25, 31), (37, 19), (11, 14), (26, 19), (10, 22), (37, 15), (3, 21), (29, 24), (5, 20), (0, 25), (27, 6), (34, 14), (5, 5), (32, 2), (10, 0), (26, 31), (10, 28), (28, 29), (6, 11), (4, 28), (14, 7), (27, 25), (37, 21), (7, 2), (25, 21), (29, 11), (20, 25), (23, 16), (18, 10), (10, 14), (7, 6), (32, 22), (6, 20), (7, 28), (17, 29), (31, 31), (28, 34), (31, 14), (21, 32), (1, 29), (15, 13), (10, 5), (20, 18), (31, 5), (13, 27), (11, 32), (3, 29), (28, 23), (18, 32), (8, 8), (7, 11), (21, 27), (18, 3), (34, 27), (35, 33), (30, 8), (24, 15), (30, 5), (18, 7), (19, 19), (34, 5), (12, 31), (29, 15), (8, 19), (22, 1), (5, 22), (9, 16), (22, 12), (5, 30), (21, 29), (25, 1), (27, 15), (15, 3), (36, 23), (24, 28), (26, 32), (31, 0), (19, 7), (15, 0), (24, 12), (0, 9), (8, 21), (32, 32), (23, 23), (31, 16), (13, 14), (19, 17), (29, 18), (31, 23), (23, 24), (6, 14), (16, 17), (24, 19), (22, 8), (27, 4), (6, 9), (17, 19), (15, 9), (16, 15), (37, 13), (36, 25), (16, 1), (26, 14), (21, 12), (18, 6), (6, 19), (20, 11), (34, 28), (22, 25), (28, 9), (2, 34), (4, 6), (3, 20), (20, 9), (34, 19), (1, 21), (26, 6), (35, 5), (1, 13), (2, 16), (13, 2), (35, 14), (13, 24), (2, 22), (8, 18), (23, 28), (2, 31), (17, 0), (16, 28), (28, 14), (21, 5), (4, 9), (30, 4), (16, 8), (35, 20), (3, 24), (27, 19), (8, 27), (37, 6), (28, 20), (8, 20), (34, 0), (24, 14), (17, 3), (24, 22), (2, 28), (7, 30), (13, 11), (14, 13), (32, 3), (26, 34), (19, 10), (26, 26), (25, 9), (14, 27), (13, 0), (9, 31), (32, 21), (13, 34), (24, 11), (25, 33), (31, 3), (36, 22), (26, 5), (17, 33), (31, 20), (22, 7), (20, 16), (17, 12), (5, 16), (9, 3), (18, 15), (17, 14), (18, 28), (6, 27), (23, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 27), (20, 31), (31, 16), (28, 7), (8, 22), (0, 7), (23, 13), (28, 15), (22, 10), (9, 5), (9, 26), (29, 24), (14, 30), (20, 27), (12, 16), (1, 25), (10, 9), (17, 30), (14, 9), (20, 9), (28, 17), (21, 12), (5, 19), (9, 16), (8, 29), (1, 11), (29, 1), (1, 17), (18, 4), (12, 8), (8, 1), (14, 27), (17, 12), (13, 9), (19, 21), (24, 28), (5, 6), (6, 29), (24, 7), (15, 30), (23, 2), (23, 28), (23, 17), (15, 28), (14, 31), (8, 14), (22, 6), (16, 27), (28, 9), (21, 30), (8, 6), (2, 7), (27, 26), (15, 18), (15, 20), (10, 25), (3, 31), (4, 27), (17, 26), (6, 11), (28, 1), (11, 25), (25, 5), (0, 14), (3, 9), (27, 14), (30, 18), (16, 24), (1, 10), (6, 6), (30, 17), (2, 15), (5, 13), (3, 13), (27, 31), (23, 31), (0, 5), (15, 17), (30, 22), (0, 4), (28, 27), (10, 6), (11, 26), (16, 25), (31, 8), (0, 29), (3, 0), (20, 16), (4, 7), (23, 15), (21, 0), (12, 21), (5, 14), (3, 26), (27, 23), (5, 28), (15, 14), (24, 6), (3, 12), (6, 25), (7, 23), (10, 29), (11, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 26), (35, 16), (35, 2), (2, 21), (25, 15), (28, 12), (8, 22), (34, 1), (9, 11), (6, 27), (16, 4), (17, 33), (6, 6), (17, 14), (8, 31), (1, 2), (6, 3), (24, 28), (13, 4), (26, 32), (32, 8), (18, 16), (10, 13), (16, 6), (22, 26), (23, 13), (32, 5), (18, 21), (4, 24), (3, 29), (24, 30), (13, 12), (18, 0), (37, 2), (19, 11), (14, 9), (18, 14), (14, 13), (15, 33), (17, 10), (33, 17), (13, 14), (29, 5), (28, 25), (1, 6), (16, 26), (31, 27), (0, 26), (17, 2), (13, 8), (5, 2), (25, 22), (29, 25), (35, 0), (7, 9), (1, 10), (30, 5), (25, 10), (25, 6), (4, 4), (36, 18), (11, 18), (25, 24), (23, 14), (11, 17), (36, 15), (27, 32), (27, 20), (27, 16), (10, 5), (28, 28), (22, 23), (22, 9), (21, 22), (6, 9), (28, 16), (11, 5), (4, 23), (16, 8), (24, 22), (1, 29), (23, 5), (28, 32), (15, 14), (27, 23), (35, 22), (15, 5), (26, 8), (5, 13), (35, 8), (5, 29), (31, 26), (25, 32), (36, 2), (29, 30), (16, 7), (6, 15), (5, 25), (27, 18), (5, 20), (33, 23), (9, 14), (25, 26), (9, 33), (15, 11), (27, 25), (35, 13), (31, 13), (36, 23), (1, 20), (8, 12), (6, 11), (32, 28), (26, 12), (10, 15), (31, 3), (32, 4), (10, 32), (33, 19), (35, 9), (6, 14), (26, 17), (27, 10), (36, 1), (1, 8), (34, 5), (18, 25), (9, 26), (25, 33), (34, 4), (11, 25), (27, 30), (21, 23), (33, 5), (13, 20), (28, 14), (17, 0), (17, 11), (34, 20), (7, 32), (26, 14), (16, 16), (33, 13), (24, 21), (34, 15), (0, 31), (15, 23), (9, 6), (19, 22), (36, 22), (35, 24), (8, 16), (28, 0), (26, 26), (17, 22), (12, 1), (5, 30), (4, 28), (33, 3), (30, 11), (13, 9), (11, 31), (29, 13), (2, 2), (0, 20), (14, 15), (16, 3), (21, 3), (17, 1), (35, 7), (20, 26), (17, 8), (11, 19), (8, 8), (18, 3), (4, 8), (27, 1), (12, 17), (16, 1), (8, 11), (21, 10), (13, 17), (11, 26), (21, 21), (33, 0), (18, 12), (18, 5), (3, 12), (8, 24), (33, 10), (36, 13), (8, 19), (13, 33), (34, 28), (1, 26), (5, 12), (33, 1), (35, 23), (25, 4), (3, 27), (33, 11), (29, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 39x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (36, 14), (22, 17), (34, 12), (19, 22), (28, 36), (32, 16), (2, 6), (14, 10), (0, 8), (3, 33), (29, 35), (27, 23), (34, 24), (30, 22), (5, 31), (34, 31), (4, 25), (23, 33), (2, 3), (35, 16), (9, 22), (19, 9), (14, 9), (23, 5), (28, 19), (3, 10), (9, 30), (30, 7), (32, 7), (16, 1), (37, 31), (15, 9), (2, 36), (12, 18), (23, 0), (34, 2), (4, 14), (27, 10), (12, 16), (1, 2), (14, 35), (13, 11), (3, 27), (18, 14), (8, 8), (30, 15), (26, 0), (29, 11), (34, 19), (32, 18), (37, 34), (12, 4), (36, 21), (13, 5), (25, 26), (23, 11), (28, 28), (22, 18), (38, 8), (15, 19), (28, 23), (22, 12), (20, 34), (7, 9), (12, 22), (35, 20), (4, 8), (28, 6), (9, 9), (11, 7), (12, 9), (8, 10), (26, 13), (24, 1), (35, 7), (10, 34), (0, 25), (14, 34), (27, 26), (5, 8), (21, 30), (21, 19), (13, 19), (28, 2), (17, 3), (21, 15), (19, 7), (37, 3), (24, 15), (16, 23), (38, 30), (13, 2), (30, 16), (7, 3), (27, 31), (16, 7), (31, 5), (1, 1), (34, 32), (23, 24), (30, 20), (18, 18), (7, 16), (38, 32), (11, 10), (22, 8), (36, 18), (6, 34), (32, 24), (34, 23), (22, 30), (4, 29), (36, 23), (25, 10), (32, 33), (11, 36), (18, 29), (7, 36), (18, 17), (2, 14), (36, 0), (31, 18), (2, 11), (21, 21), (2, 7), (10, 32), (24, 28), (1, 31), (23, 36), (33, 33), (21, 6), (5, 26), (26, 17), (2, 8), (34, 36), (38, 24), (6, 6), (5, 32), (25, 9), (26, 32), (32, 9), (19, 10), (15, 23), (9, 8), (8, 14), (34, 28), (8, 31), (31, 13), (18, 5), (24, 27), (1, 13), (13, 16), (18, 13), (19, 28), (38, 7), (7, 11), (19, 20), (34, 30), (3, 16), (38, 13), (10, 27), (32, 0), (9, 23), (25, 32), (24, 23), (11, 3), (34, 17), (16, 31), (30, 10), (21, 35), (13, 32), (12, 3), (8, 13), (2, 4), (29, 5), (7, 31), (21, 26), (21, 5), (19, 26), (2, 29), (1, 19), (25, 17), (9, 29), (0, 21), (18, 2), (18, 24), (29, 25), (33, 21), (30, 0), (28, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 9), (15, 23), (7, 9), (31, 30), (0, 15), (32, 6), (28, 15), (26, 29), (33, 11), (7, 22), (10, 11), (10, 1), (15, 0), (1, 9), (13, 1), (5, 24), (29, 15), (14, 9), (9, 10), (13, 32), (15, 21), (22, 10), (16, 32), (1, 12), (26, 18), (10, 6), (12, 17), (7, 28), (23, 0), (27, 27), (28, 29), (26, 14), (32, 0), (32, 4), (34, 3), (0, 31), (27, 25), (22, 11), (3, 13), (32, 23), (6, 32), (26, 9), (15, 10), (7, 7), (12, 18), (0, 14), (16, 17), (32, 15), (3, 11), (6, 10), (6, 3), (27, 0), (8, 14), (22, 32), (19, 25), (14, 24), (23, 22), (28, 3), (14, 27), (10, 12), (34, 27), (21, 31), (29, 19), (13, 9), (14, 32), (9, 6), (32, 8), (11, 27), (33, 4), (22, 6), (14, 14), (5, 8), (6, 16), (12, 25), (3, 19), (20, 27), (21, 11), (0, 11), (8, 13), (17, 24), (26, 16), (23, 24), (11, 17), (1, 18), (20, 14), (18, 1), (30, 9), (4, 0), (19, 32), (17, 30), (20, 26), (26, 31), (16, 18), (33, 30), (0, 25), (20, 23), (17, 25), (3, 18), (1, 22), (15, 27), (34, 2), (0, 18), (31, 28), (19, 15), (14, 3), (11, 18), (3, 3), (5, 32), (18, 6), (8, 19), (4, 8), (16, 21), (18, 7), (22, 22), (27, 7), (12, 28), (28, 14), (2, 19), (19, 21), (34, 20), (18, 32), (25, 16), (27, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 11), (11, 17), (6, 4), (5, 21), (10, 28), (10, 20), (23, 16), (25, 23), (15, 1), (17, 24), (24, 29), (32, 8), (13, 28), (10, 17), (21, 17), (28, 19), (23, 4), (8, 2), (24, 6), (30, 5), (2, 19), (28, 14), (11, 13), (14, 6), (9, 14), (19, 9), (16, 16), (24, 28), (2, 8), (16, 26), (11, 22), (15, 24), (15, 23), (20, 27), (14, 22), (21, 15), (4, 26), (20, 6), (13, 2), (6, 29), (8, 7), (28, 12), (29, 7), (3, 29), (5, 17), (11, 26), (9, 11), (31, 24), (8, 21), (31, 5), (20, 16), (16, 2), (15, 12), (23, 1), (18, 14), (19, 20), (29, 29), (6, 18), (0, 5), (1, 10), (21, 1), (32, 25), (18, 24), (2, 26), (9, 7), (10, 25), (29, 13), (14, 28), (11, 4), (28, 20), (25, 18), (17, 26), (7, 14), (3, 17), (2, 17), (4, 14), (26, 6), (12, 14), (12, 3), (7, 24), (25, 2), (30, 8), (32, 10), (29, 5), (5, 26), (22, 0), (3, 1), (21, 18), (22, 10), (14, 24), (15, 5), (9, 21), (6, 16), (22, 20), (4, 11), (25, 25), (21, 27), (9, 27), (29, 14), (24, 11), (13, 11), (27, 19), (23, 29), (24, 22), (20, 1), (7, 21), (30, 28), (18, 17), (22, 17), (28, 25), (12, 29), (17, 14), (19, 27), (27, 21), (24, 15), (15, 13), (20, 14), (17, 23), (7, 26), (22, 13), (10, 12), (12, 19), (32, 6), (0, 6), (17, 10), (20, 29), (18, 26), (29, 18), (27, 3), (24, 13), (3, 20), (12, 11), (29, 12), (14, 17), (3, 8), (20, 23), (6, 1), (12, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 6), (9, 26), (17, 31), (16, 12), (23, 31), (19, 33), (19, 5), (32, 25), (29, 15), (20, 26), (30, 27), (36, 1), (14, 33), (28, 4), (8, 6), (35, 8), (36, 18), (29, 10), (21, 7), (5, 13), (11, 1), (23, 1), (15, 7), (30, 12), (4, 6), (25, 26), (3, 26), (34, 8), (14, 23), (18, 17), (8, 32), (28, 1), (4, 28), (18, 6), (25, 0), (20, 28), (22, 8), (27, 7), (8, 13), (8, 3), (33, 3), (16, 14), (26, 23), (29, 23), (7, 7), (36, 12), (32, 28), (35, 0), (28, 13), (35, 28), (13, 3), (9, 23), (30, 17), (9, 9), (26, 17), (1, 0), (8, 17), (4, 10), (8, 23), (7, 25), (25, 20), (17, 12), (28, 8), (6, 7), (30, 23), (27, 9), (32, 27), (25, 33), (22, 29), (29, 6), (8, 7), (24, 8), (8, 0), (24, 2), (15, 18), (22, 14), (14, 18), (6, 23), (36, 17), (27, 20), (26, 30), (24, 27), (16, 32), (6, 29), (36, 31), (5, 9), (27, 24), (3, 19), (23, 10), (12, 32), (16, 8), (36, 16), (22, 33), (33, 20), (23, 0), (36, 14), (14, 26), (21, 12), (15, 13), (34, 16), (20, 9), (11, 21), (31, 3), (1, 29), (31, 18), (7, 16), (13, 10), (14, 0), (2, 2), (18, 12), (19, 27), (7, 2), (21, 3), (1, 20), (13, 15), (16, 6), (31, 22), (9, 28), (3, 10), (1, 27), (5, 10), (3, 17), (5, 29), (3, 5), (10, 31), (7, 18), (30, 4), (9, 6), (16, 20), (31, 16), (26, 22), (1, 15), (4, 11), (33, 26), (10, 9), (15, 25), (21, 8), (28, 5), (26, 25), (0, 12), (30, 1), (21, 23), (32, 8), (36, 6), (28, 26), (25, 3), (23, 17), (35, 13), (1, 4), (31, 25), (23, 26), (17, 22), (33, 7), (16, 30), (26, 28), (16, 26), (6, 24), (0, 33), (10, 33), (17, 28), (36, 29), (6, 9), (15, 12), (36, 4), (7, 19), (9, 17), (12, 5), (18, 26), (28, 15), (24, 13), (19, 17), (12, 19), (24, 18), (24, 31), (10, 24), (35, 32), (12, 10), (6, 18), (8, 31), (11, 24), (27, 3), (23, 21), (34, 12), (34, 14), (26, 15), (11, 5), (23, 4), (18, 0), (3, 15), (19, 14), (16, 22), (7, 27), (2, 24), (10, 8), (35, 30), (2, 20), (14, 19), (35, 15), (5, 0), (26, 14), (1, 2), (5, 27), (12, 20), (22, 28), (31, 29), (27, 0), (0, 24), (36, 24), (30, 5), (33, 1), (2, 21), (10, 7), (33, 10), (23, 14), (19, 25), (4, 7), (24, 15), (3, 25), (36, 25), (36, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 20), (17, 12), (14, 7), (6, 5), (21, 19), (13, 23), (6, 19), (25, 19), (28, 4), (34, 29), (24, 28), (9, 17), (23, 1), (8, 21), (20, 19), (15, 25), (25, 7), (12, 5), (29, 5), (4, 23), (14, 5), (13, 11), (9, 25), (34, 7), (23, 28), (31, 23), (7, 10), (23, 9), (22, 6), (10, 16), (38, 2), (1, 17), (13, 14), (18, 12), (0, 26), (28, 9), (34, 0), (36, 8), (14, 21), (29, 19), (34, 2), (4, 25), (19, 21), (31, 19), (14, 19), (26, 29), (0, 5), (20, 7), (27, 25), (17, 11), (20, 12), (17, 0), (35, 10), (12, 26), (26, 16), (4, 7), (13, 13), (19, 1), (1, 10), (18, 10), (22, 13), (3, 12), (3, 17), (19, 28), (26, 20), (9, 23), (31, 28), (3, 20), (3, 14), (38, 15), (9, 21), (7, 26), (2, 26), (22, 7), (21, 2), (17, 29), (28, 19), (13, 29), (38, 17), (8, 6), (28, 20), (31, 5), (38, 14), (38, 13), (7, 27), (13, 21), (24, 10), (9, 1), (1, 29), (20, 24), (24, 17), (3, 11), (34, 8), (21, 5), (4, 8), (33, 16), (17, 9), (7, 5), (27, 12), (12, 0), (29, 0), (20, 29), (8, 1), (34, 23), (35, 1), (29, 2), (3, 29), (34, 5), (34, 25), (30, 14), (4, 5), (25, 28), (16, 12), (35, 16), (20, 10), (12, 9), (26, 25), (36, 5), (15, 26), (31, 22), (12, 23), (14, 6), (36, 13), (18, 4), (19, 16), (21, 23), (7, 29), (10, 28), (36, 15), (37, 27), (17, 25), (16, 7), (3, 13), (30, 30), (1, 25), (10, 30), (21, 13), (16, 14), (33, 2), (10, 10), (20, 1), (10, 20), (6, 10), (22, 12), (10, 14), (26, 17), (7, 19), (18, 15), (35, 27), (0, 17), (21, 1), (16, 23), (30, 7), (38, 3), (11, 29), (3, 0), (34, 10), (34, 26), (31, 11), (20, 26), (20, 13), (15, 18), (21, 8), (8, 25), (10, 18), (14, 11), (17, 22), (6, 23), (24, 23), (20, 14), (38, 23), (8, 29), (32, 13), (9, 19), (29, 24), (23, 12), (15, 0), (20, 4), (31, 0), (5, 6), (0, 27), (20, 17), (38, 21), (7, 4), (35, 8), (24, 21), (0, 14), (13, 3), (9, 20), (34, 18), (10, 1), (32, 23), (38, 9), (27, 3), (2, 16), (17, 24), (1, 1), (29, 17), (15, 21), (36, 0), (20, 28), (22, 11), (16, 18), (0, 4), (0, 23), (23, 18), (33, 28), (18, 21), (11, 30), (38, 29), (25, 27), (11, 6), (2, 9), (32, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 2), (15, 21), (7, 9), (24, 13), (25, 24), (9, 0), (0, 33), (10, 3), (4, 21), (10, 37), (13, 14), (4, 4), (13, 8), (16, 24), (6, 37), (20, 20), (11, 9), (18, 23), (27, 32), (9, 15), (27, 20), (23, 16), (6, 22), (2, 15), (22, 1), (24, 34), (29, 12), (26, 38), (27, 38), (2, 22), (1, 7), (3, 26), (27, 2), (15, 33), (22, 16), (12, 13), (23, 21), (13, 0), (4, 20), (24, 0), (11, 7), (4, 30), (25, 2), (27, 35), (8, 13), (1, 29), (12, 2), (20, 6), (19, 12), (23, 4), (6, 32), (26, 11), (3, 32), (10, 18), (22, 19), (23, 5), (21, 5), (6, 4), (16, 1), (25, 17), (5, 8), (3, 31), (2, 20), (17, 18), (15, 31), (16, 12), (13, 26), (5, 33), (28, 31), (3, 34), (25, 16), (23, 7), (12, 32), (12, 17), (9, 36), (8, 27), (24, 16), (6, 7), (1, 24), (6, 25), (14, 25), (9, 25), (10, 35), (17, 7), (17, 28), (23, 1), (18, 20), (0, 14), (5, 7), (12, 8), (1, 3), (23, 6), (7, 31), (9, 7), (9, 34), (21, 1), (14, 35), (5, 24), (25, 19), (6, 16), (0, 38), (8, 34), (24, 21), (13, 7), (28, 1), (1, 14), (18, 16), (11, 22), (27, 0), (8, 36), (11, 38), (18, 31), (2, 12), (12, 14), (11, 4), (26, 19), (7, 21), (23, 28), (7, 6), (28, 6), (16, 27), (6, 5), (9, 3), (0, 36), (12, 10), (11, 20), (25, 28), (17, 36), (11, 1), (4, 12), (10, 20), (28, 20), (0, 35), (23, 20), (0, 30), (17, 12), (11, 21), (11, 24), (5, 14), (24, 31), (0, 7), (12, 0), (9, 28), (20, 11), (24, 24), (29, 16), (19, 14), (3, 23), (27, 37), (26, 36), (23, 24), (12, 24), (4, 31), (4, 3), (25, 5), (28, 15), (8, 25), (18, 1), (25, 8), (2, 35), (8, 30), (16, 6), (3, 27), (15, 30), (2, 10), (6, 15), (19, 31), (0, 21), (14, 13), (8, 28), (3, 28), (16, 34), (27, 18), (2, 7), (9, 6), (29, 29), (7, 26), (12, 36), (15, 16), (24, 9), (10, 9), (20, 25), (22, 29), (15, 2), (24, 7), (26, 14), (2, 30), (18, 3), (17, 25), (7, 28), (19, 20), (21, 21), (24, 20), (19, 10), (7, 34), (20, 18), (26, 9), (17, 17), (6, 31), (1, 0), (10, 15), (12, 1), (17, 10), (7, 20), (10, 36), (10, 4), (10, 2), (19, 2), (27, 4), (17, 35), (14, 27), (18, 26), (18, 4), (21, 20), (0, 20), (16, 30), (17, 2), (14, 15), (15, 5), (14, 32), (4, 2), (20, 0), (22, 34), (13, 29), (0, 37), (28, 36), (22, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 39x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 7), (37, 6), (28, 15), (23, 30), (22, 12), (36, 8), (23, 22), (3, 31), (11, 8), (25, 19), (25, 6), (15, 15), (22, 18), (19, 26), (9, 22), (29, 19), (5, 12), (4, 9), (21, 7), (23, 3), (21, 5), (15, 28), (26, 15), (30, 9), (16, 4), (9, 30), (30, 23), (16, 21), (3, 6), (38, 29), (35, 2), (28, 1), (4, 30), (25, 2), (0, 2), (23, 28), (29, 18), (30, 20), (30, 22), (36, 6), (25, 25), (32, 18), (16, 9), (18, 27), (38, 17), (24, 21), (13, 26), (1, 30), (13, 28), (24, 5), (8, 21), (36, 30), (6, 25), (25, 23), (11, 14), (2, 13), (12, 0), (4, 0), (15, 16), (6, 15), (20, 13), (33, 14), (28, 2), (0, 18), (4, 8), (38, 4), (37, 24), (20, 24), (26, 31), (4, 18), (15, 3), (4, 27), (4, 15), (22, 24), (11, 20), (9, 20), (21, 1), (27, 21), (14, 30), (1, 21), (15, 12), (19, 3), (26, 14), (5, 23), (32, 26), (30, 27), (33, 6), (15, 1), (31, 12), (19, 31), (3, 32), (11, 9), (33, 17), (14, 17), (29, 4), (31, 11), (15, 23), (23, 13), (18, 23), (8, 29), (22, 10), (12, 7), (24, 20), (34, 30), (19, 25), (5, 27), (16, 19), (6, 24), (4, 5), (24, 17), (29, 28), (10, 1), (3, 1), (19, 6), (25, 0), (29, 8), (28, 6), (33, 4), (1, 5), (25, 12), (11, 15), (5, 21), (0, 26), (34, 23), (8, 17), (16, 28), (14, 26), (31, 15), (28, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 13), (7, 4), (17, 17), (14, 11), (24, 7), (18, 19), (5, 21), (20, 12), (25, 3), (12, 35), (27, 13), (12, 9), (24, 16), (20, 34), (5, 32), (24, 28), (1, 4), (11, 18), (8, 33), (9, 6), (20, 15), (27, 19), (7, 26), (17, 8), (13, 12), (2, 13), (24, 2), (4, 30), (19, 9), (26, 32), (22, 35), (2, 10), (27, 5), (15, 34), (6, 4), (28, 25), (6, 34), (21, 2), (13, 6), (1, 29), (16, 1), (17, 12), (19, 14), (9, 30), (25, 6), (3, 19), (8, 34), (1, 26), (5, 31), (22, 26), (24, 14), (15, 25), (16, 27), (23, 1), (19, 8), (20, 24), (29, 7), (27, 30), (24, 18), (14, 10), (1, 35), (25, 22), (22, 30), (8, 6), (17, 30), (2, 17), (13, 25), (7, 7), (12, 13), (14, 8), (25, 33), (13, 34), (28, 1), (16, 18), (13, 14), (0, 1), (16, 35), (13, 33), (24, 25), (4, 7), (20, 13), (11, 19), (21, 4), (27, 12), (9, 31), (14, 19), (1, 32), (5, 17), (14, 13), (8, 9), (3, 16), (29, 1), (4, 0), (19, 30), (2, 9), (6, 9), (28, 9), (17, 13), (0, 26), (19, 10), (29, 9), (25, 8), (23, 4), (4, 3), (16, 19), (16, 6), (11, 35), (20, 20), (19, 29), (27, 31), (23, 2), (15, 19), (26, 26), (13, 28), (22, 19), (18, 35), (5, 22), (27, 8), (29, 25), (24, 1), (0, 8), (15, 6), (18, 23), (24, 9), (2, 34), (29, 13), (10, 32), (17, 10), (6, 10), (7, 25), (27, 10), (13, 4), (23, 16), (5, 33), (6, 16), (0, 27), (3, 3), (8, 24), (21, 19), (1, 17), (27, 14), (22, 31), (21, 28), (8, 28), (26, 17), (18, 0), (0, 19), (24, 19), (2, 1), (26, 20), (27, 32), (21, 22), (28, 7), (26, 22), (6, 30), (24, 10), (25, 15), (14, 25), (10, 10), (17, 20), (29, 28), (3, 25), (26, 7), (26, 2), (26, 6), (29, 10), (7, 9), (3, 17), (2, 3), (8, 27), (16, 20), (12, 18), (9, 16), (10, 23), (25, 7), (18, 14), (2, 19), (21, 26), (4, 17), (1, 25), (26, 28), (10, 1), (23, 17), (19, 28), (0, 28), (18, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 35x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 7), (32, 26), (33, 33), (12, 5), (12, 14), (34, 37), (28, 9), (8, 18), (19, 7), (31, 5), (20, 33), (3, 30), (29, 28), (17, 17), (31, 1), (9, 10), (26, 10), (12, 28), (6, 22), (5, 17), (7, 29), (14, 10), (33, 15), (29, 33), (13, 13), (29, 15), (1, 16), (7, 2), (2, 15), (16, 6), (2, 2), (4, 36), (11, 17), (6, 11), (12, 20), (3, 10), (26, 14), (7, 20), (31, 36), (13, 37), (16, 16), (10, 0), (3, 0), (19, 13), (21, 20), (32, 32), (2, 18), (30, 17), (31, 25), (10, 33), (30, 7), (17, 32), (19, 8), (3, 22), (4, 18), (2, 16), (10, 5), (14, 7), (20, 4), (11, 13), (31, 38), (19, 37), (10, 36), (16, 1), (2, 22), (22, 4), (15, 11), (34, 13), (26, 13), (22, 0), (32, 35), (8, 21), (9, 36), (6, 32), (11, 30), (1, 31), (13, 14), (23, 28), (12, 8), (25, 6), (11, 7), (25, 7), (31, 18), (1, 20), (10, 19), (22, 7), (2, 7), (27, 38), (22, 12), (28, 10), (17, 19), (28, 22), (31, 0), (34, 12), (28, 26), (0, 10), (11, 24), (22, 33), (23, 25), (30, 10), (20, 21), (6, 1), (1, 28), (14, 34), (7, 28), (14, 28), (9, 23), (4, 0), (9, 22), (29, 22), (21, 14), (20, 31), (17, 31), (6, 24), (12, 25), (9, 15), (32, 10), (2, 23), (3, 16), (5, 14), (8, 16), (34, 9), (10, 27), (12, 18), (27, 29), (0, 34), (16, 18), (28, 31), (18, 9), (31, 33), (0, 25), (32, 36), (23, 10), (4, 31), (32, 9), (10, 7), (28, 17), (21, 34), (24, 34), (6, 23), (31, 34), (3, 37), (3, 23), (1, 26), (25, 23), (16, 5), (32, 20), (0, 35), (9, 18), (17, 35), (28, 4), (11, 4), (28, 21), (16, 22), (13, 8), (30, 4), (13, 2), (12, 9), (19, 1), (0, 13), (16, 29), (8, 13), (26, 11), (14, 29), (26, 8), (0, 38), (12, 34), (29, 3), (28, 3), (26, 21), (5, 15), (13, 33), (30, 15), (24, 31), (7, 18), (23, 35), (26, 29), (5, 7), (1, 38), (16, 25), (33, 36), (7, 15), (3, 11), (25, 35), (32, 5), (34, 0), (11, 19), (29, 13), (1, 7), (13, 27), (13, 36), (27, 26), (31, 28), (20, 37), (18, 10), (29, 1), (26, 22), (27, 4), (9, 12), (10, 10), (8, 30), (11, 36), (7, 16), (5, 21), (25, 8), (6, 0), (28, 29), (9, 6), (4, 25), (2, 29), (14, 21), (24, 33), (0, 26), (9, 20), (13, 23), (28, 12), (0, 11), (18, 37), (10, 8), (9, 19), (32, 12), (1, 37), (11, 1), (31, 29), (0, 22), (31, 35), (24, 17), (29, 19), (6, 37), (20, 3), (15, 16), (3, 1), (33, 13), (9, 21), (5, 37), (32, 19), (13, 21), (21, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 30x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 31), (19, 26), (5, 12), (14, 32), (22, 15), (25, 9), (21, 19), (6, 31), (21, 23), (9, 7), (27, 23), (9, 6), (29, 22), (11, 17), (3, 4), (10, 16), (28, 28), (28, 2), (14, 7), (5, 3), (28, 23), (1, 9), (4, 23), (5, 8), (14, 1), (6, 13), (18, 18), (7, 9), (13, 9), (2, 31), (23, 6), (25, 8), (9, 21), (0, 29), (1, 23), (5, 31), (7, 35), (7, 17), (29, 11), (26, 20), (25, 5), (14, 2), (27, 28), (4, 30), (28, 34), (19, 21), (13, 4), (10, 7), (25, 23), (20, 4), (11, 35), (17, 33), (23, 27), (8, 6), (15, 27), (24, 8), (2, 27), (4, 16), (2, 6), (18, 3), (13, 25), (26, 6), (22, 23), (18, 33), (6, 8), (14, 30), (2, 21), (7, 6), (27, 21), (11, 34), (11, 3), (23, 28), (0, 30), (7, 32), (6, 0), (0, 23), (27, 5), (25, 27), (28, 12), (26, 10), (2, 13), (5, 35), (25, 20), (18, 12), (6, 5), (20, 9), (16, 9), (10, 32), (16, 0), (24, 7), (1, 26), (19, 23), (0, 32), (1, 31), (0, 33), (1, 14), (7, 21), (24, 32), (0, 3), (8, 18), (19, 18), (25, 1), (3, 23), (20, 25), (24, 3), (29, 25), (5, 34), (3, 27), (7, 4), (29, 32), (29, 23), (17, 12), (1, 11), (2, 1), (22, 12), (6, 33), (6, 21), (7, 11), (1, 28), (1, 12), (2, 4), (1, 20), (9, 33), (9, 12), (6, 18), (15, 25), (16, 23), (21, 33), (29, 16), (4, 5), (5, 24), (19, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 36x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 23), (9, 5), (22, 13), (7, 35), (28, 13), (9, 9), (10, 5), (20, 32), (17, 26), (8, 21), (18, 5), (9, 28), (31, 24), (9, 22), (35, 29), (20, 18), (16, 15), (18, 21), (31, 0), (30, 14), (10, 7), (3, 13), (14, 27), (16, 4), (27, 18), (7, 8), (0, 12), (13, 21), (19, 35), (16, 17), (21, 18), (15, 29), (2, 8), (29, 28), (10, 14), (9, 23), (30, 18), (5, 19), (17, 28), (26, 26), (0, 3), (15, 25), (7, 4), (7, 21), (22, 35), (1, 32), (11, 3), (5, 31), (8, 22), (20, 11), (34, 12), (30, 28), (7, 7), (11, 21), (3, 7), (30, 33), (18, 20), (31, 6), (23, 10), (30, 3), (23, 5), (28, 12), (26, 35), (18, 3), (22, 22), (17, 32), (15, 19), (15, 17), (10, 21), (12, 7), (35, 31), (3, 30), (19, 25), (3, 28), (9, 27), (0, 33), (16, 18), (22, 29), (31, 7), (6, 20), (24, 23), (8, 18), (6, 8), (35, 10), (10, 28), (5, 12), (0, 8), (14, 15), (30, 12), (4, 13), (6, 13), (30, 17), (22, 26), (10, 19), (14, 16), (34, 10), (18, 1), (4, 26), (29, 27), (11, 26), (7, 9), (15, 28), (5, 16), (16, 19), (3, 33), (19, 21), (5, 13), (5, 4), (27, 17), (4, 21), (34, 17), (12, 16), (22, 2), (13, 2), (26, 14), (4, 9), (22, 10), (20, 9), (1, 18), (10, 26), (15, 12), (29, 24), (1, 30), (16, 33), (7, 2), (18, 28), (19, 22), (23, 11), (17, 14), (23, 19), (8, 11), (31, 20), (27, 6), (2, 32), (17, 21), (11, 31), (28, 26), (31, 35), (21, 6), (15, 1), (17, 27), (6, 6), (11, 27), (5, 34), (1, 16), (27, 21), (13, 12), (11, 20), (24, 26), (11, 13), (9, 30), (16, 14), (6, 16), (14, 17), (2, 2), (28, 35), (17, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 39x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 26), (26, 1), (32, 28), (33, 0), (20, 0), (28, 12), (19, 11), (35, 2), (4, 34), (10, 27), (24, 2), (26, 36), (34, 16), (34, 13), (32, 37), (11, 4), (33, 20), (2, 35), (2, 26), (37, 8), (35, 28), (13, 20), (2, 0), (18, 29), (3, 26), (17, 19), (5, 15), (18, 10), (17, 26), (16, 17), (19, 5), (31, 13), (20, 27), (4, 10), (29, 14), (18, 6), (8, 33), (21, 6), (21, 31), (17, 8), (25, 24), (4, 6), (18, 17), (17, 11), (9, 15), (2, 2), (1, 17), (22, 31), (22, 37), (28, 24), (1, 28), (10, 14), (15, 3), (8, 24), (31, 17), (37, 11), (20, 21), (30, 4), (31, 21), (34, 5), (19, 7), (5, 17), (7, 26), (24, 18), (11, 37), (0, 29), (8, 29), (17, 36), (7, 33), (28, 23), (19, 15), (16, 1), (26, 18), (13, 1), (20, 4), (17, 4), (2, 27), (22, 4), (38, 6), (1, 16), (9, 29), (6, 9), (13, 37), (17, 20), (29, 5), (31, 11), (29, 7), (0, 10), (33, 35), (18, 14), (37, 6), (35, 24), (19, 35), (37, 0), (6, 4), (19, 36), (11, 8), (2, 4), (14, 3), (25, 13), (18, 4), (7, 4), (33, 11), (30, 16), (37, 22), (10, 24), (22, 13), (24, 17), (7, 34), (20, 19), (12, 36), (10, 28), (23, 26), (15, 27), (16, 8), (12, 26), (9, 32), (25, 22), (23, 27), (24, 19), (18, 25), (4, 4), (28, 11), (3, 29), (9, 37), (27, 20), (2, 24), (37, 33), (5, 14), (15, 22), (32, 13), (13, 32), (24, 34), (34, 0), (6, 17), (12, 27), (2, 9), (8, 20), (38, 23), (9, 20), (19, 27), (8, 35), (8, 36), (31, 5), (24, 21), (9, 23), (30, 20), (6, 12), (2, 16), (31, 6), (35, 37), (13, 19), (34, 25), (21, 16), (31, 4), (34, 36), (7, 12), (10, 29), (12, 11), (2, 29), (26, 27), (8, 17), (33, 6), (7, 5), (8, 19), (36, 24), (3, 35), (36, 5), (37, 19), (12, 0), (32, 25), (6, 29), (14, 25), (20, 1), (22, 19), (7, 28), (6, 3), (1, 20), (22, 2), (35, 20), (7, 25), (6, 1), (27, 8), (10, 30), (19, 0), (25, 6), (6, 13), (4, 37), (16, 2), (0, 3), (6, 6), (21, 1), (27, 11), (5, 25), (27, 36), (38, 21), (28, 4), (35, 16), (38, 27), (14, 20), (35, 3), (35, 10), (33, 36), (14, 7), (23, 17), (8, 26), (19, 13), (35, 14), (20, 35), (10, 35), (3, 32), (37, 24), (37, 29), (38, 19), (9, 0), (13, 17), (36, 9), (33, 3), (1, 35), (24, 22), (13, 26), (24, 4), (1, 7), (14, 0), (30, 31), (27, 9), (35, 36), (11, 29), (0, 34), (29, 22), (21, 35), (5, 6), (19, 4), (8, 16), (0, 5), (33, 22), (27, 14), (17, 0), (23, 30), (17, 22), (26, 33), (30, 37), (5, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 35), (35, 19), (33, 11), (28, 35), (7, 29), (31, 6), (20, 0), (27, 0), (14, 7), (33, 32), (33, 27), (13, 2), (21, 31), (2, 21), (11, 10), (28, 36), (33, 19), (32, 9), (27, 3), (0, 26), (3, 19), (1, 25), (5, 35), (31, 32), (34, 12), (16, 35), (31, 12), (30, 2), (19, 13), (5, 33), (2, 18), (2, 30), (3, 6), (10, 35), (16, 6), (24, 31), (0, 18), (22, 9), (23, 32), (14, 4), (14, 0), (14, 1), (16, 7), (6, 13), (24, 19), (30, 20), (16, 24), (26, 35), (14, 18), (28, 5), (33, 12), (30, 29), (28, 19), (30, 3), (31, 36), (15, 6), (16, 5), (7, 20), (3, 15), (12, 12), (20, 16), (9, 35), (8, 7), (23, 12), (15, 28), (5, 0), (27, 29), (4, 1), (17, 32), (29, 0), (1, 30), (13, 13), (20, 11), (32, 2), (22, 13), (6, 5), (5, 8), (5, 28), (2, 13), (8, 1), (22, 37), (26, 19), (8, 27), (19, 37), (9, 10), (28, 2), (35, 28), (15, 11), (11, 0), (21, 35), (3, 5), (23, 30), (10, 20), (0, 16), (7, 10), (20, 20), (11, 31), (4, 25), (8, 16), (24, 21), (12, 29), (14, 28), (34, 4), (11, 5), (12, 13), (13, 35), (23, 29), (14, 26), (18, 8), (11, 24), (30, 14), (24, 14), (11, 3), (29, 3), (0, 7), (28, 24), (4, 8), (3, 1), (35, 8), (29, 16), (1, 16), (24, 4), (35, 20), (15, 27), (16, 20), (1, 26), (31, 17), (27, 34), (7, 34), (30, 28), (19, 18), (6, 10), (0, 28), (15, 22), (25, 22), (21, 18), (25, 11), (18, 30), (24, 23), (18, 6), (20, 3), (6, 26), (10, 24), (9, 34), (26, 29), (22, 23), (3, 36), (34, 20), (6, 24), (9, 37), (20, 29), (19, 15), (9, 30), (13, 23), (0, 17), (0, 9), (22, 31), (23, 9), (19, 8), (5, 32), (31, 35), (11, 4), (35, 0), (1, 11), (20, 27), (8, 9), (3, 32), (24, 9), (7, 37), (5, 16), (14, 15), (10, 21), (21, 33), (12, 11), (30, 37), (28, 29), (27, 2), (20, 32), (8, 2), (30, 7), (8, 21), (6, 6), (31, 11), (16, 16), (9, 21), (4, 4), (35, 6), (4, 36), (24, 5), (31, 13), (17, 12), (35, 29), (8, 33), (33, 17), (1, 29), (27, 4), (9, 14), (32, 29), (4, 24), (18, 9), (24, 11), (13, 3), (24, 6), (7, 7), (4, 22), (23, 5), (16, 33), (33, 29), (7, 14), (26, 32), (24, 10), (9, 9), (18, 33), (11, 12), (9, 22), (27, 17), (17, 2), (31, 30), (1, 28), (13, 22), (29, 15), (35, 7), (10, 37), (26, 23), (28, 3), (26, 22), (6, 37), (27, 20), (22, 19), (30, 31), (13, 19), (2, 15), (12, 20), (14, 30), (21, 17), (4, 20), (4, 34), (30, 22), (14, 16), (24, 18), (14, 37), (8, 36), (8, 31), (7, 27), (11, 13), (0, 33), (28, 30), (22, 10), (32, 36), (12, 37), (7, 23), (26, 6), (19, 26), (12, 36), (18, 1), (33, 5), (21, 11), (32, 24), (12, 2), (33, 15), (29, 2), (12, 17), (6, 18), (11, 37), (4, 26), (29, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 7), (1, 30), (5, 24), (29, 31), (34, 8), (4, 7), (0, 22), (14, 17), (18, 14), (23, 6), (13, 29), (12, 24), (10, 28), (30, 9), (12, 11), (19, 13), (7, 28), (7, 20), (13, 10), (22, 14), (11, 12), (10, 22), (19, 29), (34, 11), (18, 23), (10, 23), (17, 17), (7, 21), (6, 27), (32, 7), (29, 2), (12, 29), (28, 9), (20, 6), (24, 0), (21, 27), (7, 8), (29, 17), (28, 19), (3, 7), (30, 27), (6, 19), (23, 28), (28, 17), (18, 16), (1, 28), (13, 3), (0, 2), (31, 14), (30, 0), (23, 17), (2, 29), (16, 12), (4, 12), (30, 26), (8, 0), (15, 12), (5, 21), (11, 18), (4, 31), (21, 30), (26, 11), (21, 25), (19, 6), (7, 29), (35, 19), (30, 19), (25, 2), (8, 10), (7, 7), (14, 7), (26, 6), (26, 19), (4, 14), (0, 31), (12, 25), (34, 12), (21, 18), (14, 20), (7, 10), (29, 21), (9, 22), (6, 18), (24, 27), (28, 27), (22, 15), (3, 12), (19, 1), (35, 5), (27, 19), (9, 11), (29, 26), (21, 6), (21, 23), (19, 10), (1, 11), (15, 21), (24, 19), (4, 27), (31, 31), (31, 12), (30, 31), (27, 29), (34, 1), (21, 2), (6, 24), (20, 30), (12, 22), (30, 30), (20, 22), (29, 19), (31, 5), (14, 2), (20, 1), (3, 29), (31, 25), (26, 29), (26, 7), (4, 4), (25, 24), (4, 5), (2, 30), (20, 4), (1, 12), (22, 10), (7, 13), (28, 21), (13, 0), (33, 28), (28, 13), (31, 16), (22, 2), (23, 21), (7, 5), (13, 2), (10, 12), (29, 13), (22, 28), (26, 10), (8, 13), (18, 8), (9, 27), (35, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 22), (0, 10), (26, 29), (9, 2), (30, 0), (20, 32), (11, 13), (12, 2), (29, 30), (19, 1), (25, 33), (29, 6), (0, 5), (15, 14), (3, 10), (5, 21), (24, 5), (12, 6), (15, 7), (27, 1), (9, 16), (21, 8), (26, 19), (11, 6), (2, 7), (30, 2), (10, 18), (24, 23), (3, 4), (13, 14), (7, 9), (9, 3), (17, 14), (20, 0), (11, 27), (24, 2), (14, 3), (13, 8), (19, 22), (9, 19), (0, 17), (18, 20), (18, 9), (3, 7), (3, 18), (10, 14), (29, 12), (5, 28), (20, 27), (5, 8), (20, 1), (10, 13), (7, 7), (16, 7), (22, 22), (9, 13), (1, 4), (30, 28), (29, 11), (29, 13), (20, 21), (22, 17), (5, 6), (29, 22), (28, 33), (29, 26), (0, 14), (10, 7), (18, 33), (25, 13), (22, 7), (2, 20), (26, 21), (10, 33), (9, 0), (25, 9), (10, 21), (4, 12), (16, 13), (20, 7), (18, 11), (8, 6), (15, 12), (2, 21), (17, 13), (2, 9), (19, 9), (12, 26), (9, 15), (2, 32), (30, 11), (16, 24), (2, 2), (1, 9), (22, 16), (3, 8), (23, 24), (8, 31), (6, 25), (26, 11), (16, 3), (15, 13), (1, 8), (22, 26), (5, 14), (18, 26), (25, 32), (8, 2), (3, 33), (26, 1), (11, 3), (23, 3), (8, 29), (0, 30), (8, 25), (10, 11), (0, 9), (1, 16), (12, 27), (4, 29), (7, 14), (19, 8), (16, 23), (1, 5), (30, 8), (15, 21), (23, 10), (6, 1), (27, 21), (29, 9), (17, 25), (14, 18), (13, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 30), (26, 18), (24, 26), (10, 12), (24, 23), (2, 3), (31, 32), (8, 15), (9, 4), (19, 4), (33, 13), (14, 33), (32, 18), (5, 13), (8, 14), (4, 7), (17, 12), (34, 17), (28, 26), (20, 15), (2, 14), (23, 4), (24, 22), (22, 28), (13, 10), (22, 12), (28, 6), (30, 16), (13, 25), (34, 2), (11, 8), (18, 7), (33, 1), (22, 26), (29, 21), (7, 15), (4, 2), (0, 13), (33, 32), (28, 15), (28, 3), (34, 33), (25, 17), (30, 30), (20, 7), (4, 14), (6, 17), (16, 14), (6, 32), (28, 18), (33, 21), (10, 10), (21, 24), (16, 33), (19, 27), (1, 17), (9, 31), (27, 16), (23, 28), (34, 31), (28, 4), (16, 11), (16, 2), (11, 15), (25, 33), (10, 33), (30, 31), (8, 22), (30, 21), (0, 18), (10, 27), (8, 8), (7, 24), (10, 9), (24, 4), (5, 8), (29, 28), (4, 15), (26, 30), (2, 16), (33, 25), (16, 1), (10, 26), (28, 17), (32, 27), (23, 16), (14, 31), (6, 8), (14, 24), (2, 28), (3, 24), (23, 21), (10, 24), (30, 4), (28, 28), (30, 17), (20, 22), (13, 11), (30, 5), (34, 9), (14, 30), (29, 27), (24, 7), (21, 18), (12, 9), (3, 32), (3, 21), (3, 5), (6, 23), (2, 25), (22, 7), (20, 5), (3, 1), (24, 14), (25, 18), (15, 12), (31, 18), (8, 33), (0, 29), (10, 23), (18, 14), (7, 8), (33, 17), (16, 19), (27, 9), (12, 20), (21, 32), (13, 27), (21, 29), (34, 20), (23, 1), (29, 29), (17, 3), (19, 7), (10, 6), (4, 6), (3, 10), (30, 24), (14, 29), (9, 21), (23, 9), (6, 30), (12, 8), (26, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 28), (23, 13), (17, 33), (28, 7), (22, 36), (33, 8), (4, 35), (16, 4), (28, 12), (10, 27), (4, 10), (10, 13), (33, 31), (2, 36), (12, 21), (33, 20), (35, 0), (15, 11), (21, 9), (30, 15), (20, 0), (13, 30), (30, 32), (17, 16), (18, 34), (4, 19), (7, 9), (1, 6), (22, 6), (14, 13), (14, 9), (12, 20), (25, 31), (32, 28), (12, 14), (0, 4), (13, 10), (7, 37), (9, 25), (20, 14), (11, 5), (11, 21), (5, 5), (13, 15), (35, 5), (6, 17), (25, 5), (18, 20), (23, 26), (11, 29), (20, 10), (20, 22), (12, 4), (5, 28), (2, 7), (24, 14), (13, 3), (6, 22), (28, 6), (14, 11), (26, 22), (2, 10), (10, 32), (34, 12), (7, 17), (35, 24), (29, 9), (34, 11), (14, 30), (8, 26), (31, 25), (28, 35), (6, 31), (30, 2), (17, 10), (30, 29), (30, 14), (26, 11), (14, 22), (32, 5), (11, 11), (29, 2), (19, 19), (10, 14), (26, 35), (4, 36), (12, 34), (19, 34), (1, 9), (21, 31), (23, 33), (23, 2), (0, 8), (22, 35), (22, 18), (35, 12), (18, 9), (1, 4), (23, 8), (32, 13), (18, 29), (30, 25), (7, 36), (23, 0), (17, 15), (24, 30), (27, 37), (35, 35), (5, 20), (13, 2), (12, 5), (22, 25), (33, 3), (18, 19), (30, 16), (7, 11), (26, 27), (3, 11), (29, 19), (28, 26), (30, 7), (29, 29), (19, 30), (35, 22), (28, 9), (9, 5), (4, 30), (0, 6), (15, 12), (29, 30), (4, 0), (30, 19), (3, 3), (5, 15), (8, 11), (25, 28), (5, 23), (25, 22), (7, 30), (18, 12), (2, 30), (14, 23), (24, 2), (34, 23), (16, 3), (9, 14), (7, 16), (26, 17), (8, 35), (16, 35), (2, 16), (4, 22), (5, 27), (21, 36), (34, 35), (27, 20), (35, 27), (26, 34), (0, 34), (19, 3), (16, 33), (0, 19), (7, 10), (8, 23), (28, 8), (30, 18), (32, 1), (6, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 2), (6, 16), (13, 4), (31, 9), (8, 25), (25, 23), (13, 10), (22, 15), (20, 5), (3, 9), (28, 22), (15, 19), (9, 7), (16, 17), (27, 19), (24, 27), (14, 3), (32, 22), (11, 26), (14, 10), (20, 19), (24, 8), (18, 20), (20, 29), (4, 20), (25, 6), (11, 28), (8, 4), (18, 7), (2, 9), (2, 21), (5, 31), (19, 13), (19, 26), (1, 4), (5, 14), (1, 13), (30, 3), (32, 15), (24, 14), (9, 11), (21, 17), (4, 13), (33, 17), (24, 3), (28, 20), (4, 24), (3, 21), (3, 6), (27, 16), (5, 13), (3, 11), (28, 25), (0, 2), (3, 14), (7, 10), (12, 13), (12, 5), (4, 22), (7, 5), (15, 1), (29, 16), (11, 16), (2, 25), (12, 20), (7, 9), (0, 18), (27, 14), (4, 28), (33, 25), (3, 18), (3, 31), (6, 26), (32, 3), (33, 16), (32, 16), (12, 26), (18, 12), (34, 10), (13, 26), (17, 13), (5, 16), (22, 17), (15, 6), (26, 14), (11, 24), (26, 26), (25, 16), (17, 3), (27, 29), (10, 31), (28, 28), (28, 0), (18, 0), (1, 23), (4, 15), (34, 12), (3, 3), (31, 11), (33, 29), (0, 1), (6, 4), (11, 29), (8, 0), (23, 16), (34, 20), (28, 27), (22, 10), (6, 6), (31, 1), (14, 23), (32, 19), (25, 29), (22, 23), (11, 0), (33, 21), (14, 18), (1, 22), (14, 11), (17, 20), (14, 12), (12, 31), (19, 5), (20, 7), (14, 7), (12, 28), (7, 15), (25, 4), (20, 10), (33, 10), (30, 19), (3, 2), (31, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 1), (7, 12), (3, 14), (4, 1), (31, 21), (37, 7), (0, 27), (16, 20), (1, 12), (13, 22), (25, 8), (3, 3), (19, 20), (1, 5), (22, 27), (34, 7), (7, 10), (20, 10), (15, 10), (34, 14), (12, 4), (8, 19), (34, 6), (30, 28), (27, 10), (32, 13), (9, 11), (30, 14), (37, 4), (0, 19), (25, 23), (31, 22), (1, 0), (30, 10), (36, 25), (14, 26), (27, 29), (19, 6), (16, 6), (12, 13), (14, 27), (4, 23), (21, 29), (22, 4), (24, 11), (35, 6), (11, 6), (3, 10), (12, 24), (17, 5), (7, 20), (16, 16), (11, 28), (22, 19), (15, 1), (27, 25), (17, 12), (4, 11), (22, 2), (10, 10), (34, 12), (29, 2), (20, 12), (14, 18), (35, 20), (24, 28), (34, 29), (5, 16), (14, 17), (3, 0), (13, 18), (23, 21), (24, 8), (24, 2), (17, 3), (35, 24), (23, 4), (18, 29), (31, 10), (21, 1), (19, 24), (29, 24), (29, 23), (21, 4), (19, 19), (36, 15), (22, 22), (36, 22), (2, 0), (27, 26), (12, 2), (37, 9), (36, 29), (25, 0), (8, 15), (18, 0), (15, 28), (36, 18), (8, 22), (31, 29), (11, 24), (28, 17), (23, 0), (9, 15), (34, 26), (33, 8), (34, 28), (33, 16), (9, 5), (2, 9), (12, 8), (23, 17), (14, 12), (10, 8), (37, 21), (35, 28), (14, 8), (32, 16), (29, 28), (18, 13), (29, 9), (26, 12), (24, 23), (10, 6), (33, 7), (17, 22), (32, 19), (27, 17), (30, 5), (32, 23), (11, 21), (36, 6), (37, 26), (13, 21), (16, 7), (26, 14), (34, 23), (23, 26), (28, 3), (34, 27), (11, 25), (18, 1), (21, 22), (31, 5), (34, 22), (25, 24), (11, 16), (24, 20), (2, 5), (30, 24), (6, 24), (15, 17), (36, 17), (26, 8), (25, 18), (24, 25), (23, 14), (1, 29), (15, 23), (12, 25), (20, 29), (21, 2), (10, 21), (21, 26), (36, 19), (9, 12), (23, 29), (19, 17), (27, 22), (12, 0), (23, 19), (2, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 1), (16, 24), (10, 2), (25, 5), (12, 16), (18, 30), (12, 13), (24, 8), (22, 32), (28, 28), (27, 16), (36, 13), (25, 24), (34, 9), (11, 6), (11, 9), (9, 20), (3, 1), (6, 32), (25, 23), (24, 1), (3, 19), (19, 19), (16, 1), (29, 31), (20, 30), (18, 19), (20, 11), (0, 12), (4, 13), (35, 21), (17, 4), (16, 23), (13, 29), (17, 30), (35, 9), (27, 6), (0, 19), (15, 28), (20, 16), (34, 4), (32, 19), (9, 4), (25, 17), (32, 6), (6, 17), (16, 14), (22, 22), (6, 22), (4, 7), (15, 23), (12, 25), (3, 11), (24, 6), (36, 10), (24, 15), (33, 9), (30, 22), (20, 3), (23, 0), (24, 19), (8, 0), (1, 24), (26, 9), (17, 3), (10, 24), (26, 25), (4, 4), (2, 28), (29, 10), (4, 16), (20, 25), (29, 6), (11, 23), (32, 4), (3, 31), (16, 12), (17, 14), (5, 5), (21, 14), (31, 17), (33, 19), (4, 22), (7, 16), (1, 32), (21, 20), (10, 3), (21, 18), (30, 18), (22, 9), (32, 30), (0, 11), (20, 14), (3, 5), (2, 27), (14, 15), (3, 18), (22, 7), (20, 2), (10, 21), (26, 1), (6, 18), (13, 20), (25, 31), (7, 25), (19, 18), (30, 15), (11, 13), (13, 5), (22, 0), (22, 20), (22, 24), (6, 15), (27, 21), (5, 6), (29, 11), (31, 11), (7, 3), (36, 18), (21, 24), (1, 20), (1, 27), (17, 19), (33, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 25), (31, 22), (15, 36), (11, 2), (22, 17), (26, 25), (4, 6), (10, 27), (25, 26), (10, 30), (26, 14), (27, 27), (24, 5), (4, 15), (29, 20), (16, 3), (15, 23), (15, 17), (2, 16), (3, 2), (20, 12), (31, 16), (22, 30), (4, 32), (7, 36), (20, 36), (33, 36), (28, 28), (18, 37), (22, 24), (15, 14), (4, 12), (25, 8), (10, 23), (9, 11), (4, 14), (4, 35), (30, 3), (23, 5), (25, 27), (3, 9), (10, 2), (13, 4), (2, 24), (34, 33), (27, 9), (1, 17), (0, 13), (19, 35), (18, 4), (21, 7), (14, 27), (20, 21), (6, 8), (34, 14), (15, 6), (8, 26), (2, 3), (31, 3), (1, 4), (5, 23), (27, 32), (22, 21), (8, 10), (30, 13), (24, 31), (13, 36), (3, 5), (23, 13), (29, 11), (26, 17), (30, 28), (26, 27), (12, 30), (26, 37), (6, 7), (6, 9), (3, 36), (31, 29), (4, 25), (18, 12), (12, 33), (16, 8), (6, 1), (11, 24), (19, 13), (17, 15), (24, 2), (12, 36), (27, 10), (11, 29), (34, 7), (14, 25), (3, 21), (28, 21), (26, 9), (8, 35), (27, 13), (34, 5), (30, 33), (8, 25), (13, 13), (0, 35), (31, 17), (4, 9), (13, 22), (6, 24), (32, 8), (24, 34), (26, 4), (7, 21), (20, 34), (0, 33), (0, 14), (31, 23), (11, 3), (7, 18), (15, 7), (33, 20), (12, 0), (9, 19), (17, 34), (25, 17), (6, 10), (26, 20), (21, 23), (26, 35), (8, 8), (32, 35), (26, 34), (30, 32), (5, 11), (0, 23), (5, 36), (26, 11), (0, 34), (0, 18), (25, 13), (21, 35), (9, 24), (27, 37), (9, 29), (24, 24), (19, 0), (10, 10), (31, 4), (7, 2), (30, 6), (21, 18), (31, 36), (23, 3), (17, 13), (31, 7), (5, 3), (8, 0), (28, 20), (29, 29), (27, 4), (19, 31), (24, 35), (29, 30), (28, 12), (29, 6), (30, 12), (31, 21), (32, 1), (12, 18), (29, 1), (2, 35), (0, 3), (33, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 24), (7, 23), (18, 17), (25, 25), (30, 28), (5, 22), (11, 5), (32, 16), (26, 10), (1, 22), (28, 1), (37, 23), (8, 17), (31, 9), (21, 1), (17, 2), (7, 26), (8, 24), (13, 26), (33, 5), (36, 3), (11, 27), (21, 19), (17, 13), (34, 10), (31, 2), (4, 25), (34, 1), (1, 14), (9, 17), (10, 4), (29, 15), (5, 7), (7, 0), (10, 28), (23, 6), (31, 19), (14, 28), (29, 28), (11, 29), (37, 5), (3, 1), (3, 4), (9, 15), (5, 15), (34, 6), (4, 27), (21, 22), (15, 1), (27, 6), (3, 27), (28, 27), (38, 10), (10, 18), (19, 24), (18, 18), (29, 18), (1, 27), (23, 14), (37, 6), (5, 17), (20, 15), (17, 28), (35, 2), (0, 11), (28, 7), (18, 13), (20, 1), (2, 26), (32, 4), (3, 12), (33, 6), (15, 19), (5, 24), (10, 5), (7, 27), (33, 28), (24, 27), (6, 28), (33, 8), (16, 10), (32, 23), (36, 24), (0, 19), (35, 4), (17, 25), (22, 6), (36, 13), (9, 10), (18, 12), (29, 1), (36, 18), (21, 7), (29, 17), (38, 18), (22, 27), (26, 14), (23, 1), (18, 5), (16, 24), (36, 2), (10, 21), (15, 10), (9, 14), (37, 3), (17, 29), (20, 28), (1, 26), (3, 23), (13, 16), (11, 1), (12, 19), (7, 17), (15, 25), (13, 20), (10, 10), (8, 26), (8, 11), (12, 27), (12, 11), (11, 2), (3, 28), (24, 10), (32, 5), (24, 14), (1, 8), (36, 28), (15, 24), (13, 27), (2, 13), (27, 12), (27, 15), (38, 13), (3, 3), (0, 2), (31, 12), (11, 11), (19, 8), (5, 26), (25, 4), (24, 11), (13, 5), (7, 13), (20, 8), (2, 8), (12, 29), (12, 5), (11, 20), (18, 9), (38, 11), (38, 21), (35, 14), (24, 19), (1, 3), (38, 28), (13, 2), (30, 2), (34, 18), (20, 19), (7, 8), (16, 1), (3, 13), (15, 8), (26, 1), (38, 9), (36, 19), (14, 24), (33, 19), (20, 17), (31, 16), (10, 13), (4, 5), (3, 24), (9, 24), (37, 11), (12, 21), (35, 8), (4, 4), (6, 14), (18, 15), (37, 26), (29, 6), (10, 7), (31, 15), (30, 26), (3, 5), (19, 6), (18, 0), (27, 13), (25, 13), (21, 14), (36, 1), (9, 8), (1, 25), (10, 27), (30, 9), (25, 27), (8, 15), (25, 24), (0, 23), (18, 7), (34, 5), (18, 16), (29, 14), (24, 2), (11, 19), (16, 23), (37, 12), (13, 4), (31, 6), (7, 24), (27, 19), (14, 11), (5, 10), (21, 9), (8, 21), (36, 12), (11, 10), (21, 2), (2, 16), (13, 24), (22, 5), (22, 25), (30, 1), (25, 15), (14, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 11), (24, 17), (27, 12), (19, 23), (9, 5), (24, 25), (24, 20), (19, 27), (30, 0), (7, 20), (22, 2), (5, 19), (22, 13), (2, 11), (30, 28), (24, 9), (17, 18), (15, 23), (14, 16), (2, 18), (26, 4), (30, 13), (21, 27), (3, 11), (15, 8), (24, 1), (28, 1), (21, 29), (4, 25), (9, 22), (20, 17), (20, 21), (11, 29), (25, 27), (26, 23), (30, 4), (0, 4), (7, 10), (26, 29), (17, 5), (9, 27), (16, 28), (11, 3), (15, 7), (4, 27), (19, 25), (3, 5), (0, 8), (26, 0), (20, 18), (22, 4), (3, 9), (11, 27), (16, 20), (11, 12), (7, 2), (27, 19), (4, 4), (18, 28), (24, 24), (23, 9), (19, 12), (18, 15), (27, 2), (2, 15), (24, 26), (22, 12), (10, 14), (0, 2), (23, 25), (7, 22), (20, 12), (27, 7), (28, 6), (30, 27), (30, 3), (20, 8), (2, 7), (18, 12), (30, 18), (21, 0), (11, 17), (8, 16), (17, 1), (21, 20), (30, 10), (30, 21), (27, 0), (16, 27), (20, 24), (20, 20), (0, 6), (30, 5), (10, 21), (7, 28), (12, 18), (5, 2), (27, 8), (17, 9), (1, 2), (22, 14), (1, 12), (13, 28), (28, 29), (0, 13), (1, 6), (5, 25), (6, 19), (0, 21), (1, 26), (24, 14), (28, 4), (19, 10), (18, 13), (23, 19), (29, 14), (10, 0), (5, 3), (26, 8), (31, 11), (12, 21), (13, 9), (26, 18), (2, 14), (16, 13), (11, 16), (21, 5), (31, 17), (6, 20), (21, 9), (28, 19), (5, 10), (18, 27), (12, 25), (21, 23), (25, 1), (3, 16), (28, 7), (13, 20), (5, 21), (19, 24), (14, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 34x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 10), (20, 24), (32, 1), (2, 31), (19, 30), (29, 21), (33, 0), (21, 20), (21, 29), (18, 29), (26, 8), (14, 4), (11, 19), (13, 26), (27, 13), (25, 19), (6, 28), (3, 2), (14, 10), (4, 9), (1, 13), (19, 11), (11, 4), (22, 5), (18, 11), (21, 18), (15, 30), (4, 12), (20, 1), (10, 30), (20, 11), (6, 17), (29, 33), (22, 17), (32, 2), (24, 34), (20, 19), (13, 24), (9, 10), (13, 35), (23, 15), (6, 7), (8, 1), (5, 33), (27, 15), (15, 17), (6, 5), (28, 7), (6, 11), (23, 22), (25, 2), (20, 25), (27, 21), (31, 31), (17, 34), (9, 27), (26, 12), (18, 10), (12, 20), (32, 31), (24, 6), (12, 1), (20, 28), (20, 30), (29, 9), (3, 31), (8, 8), (32, 7), (26, 21), (29, 25), (2, 6), (7, 19), (15, 21), (16, 24), (27, 0), (33, 29), (24, 19), (4, 28), (5, 29), (33, 1), (13, 18), (8, 20), (19, 10), (15, 32), (7, 18), (12, 16), (30, 28), (14, 30), (22, 24), (20, 34), (14, 19), (12, 26), (28, 11), (29, 15), (6, 14), (28, 4), (1, 10), (30, 1), (4, 8), (14, 31), (2, 12), (15, 15), (16, 2), (2, 15), (21, 27), (10, 32), (10, 8), (27, 25), (12, 28), (13, 10), (11, 12), (8, 16), (5, 24), (16, 14), (26, 32), (26, 1), (6, 13), (16, 0), (11, 5), (28, 8), (11, 2), (1, 22), (1, 24), (10, 18), (6, 23), (27, 5), (30, 32), (29, 23), (11, 3), (5, 13), (28, 34), (8, 30), (22, 31), (32, 6), (24, 22), (26, 18), (27, 29), (5, 23), (17, 22), (16, 16), (7, 6), (7, 35), (11, 25), (21, 15), (26, 16), (28, 5), (12, 13), (8, 6), (32, 5), (11, 10), (2, 22), (7, 32), (8, 33), (6, 0), (12, 7), (16, 9), (11, 22), (5, 18), (14, 9), (4, 19), (7, 27), (22, 33), (5, 9), (14, 35), (16, 20), (12, 27), (26, 11), (24, 30), (11, 9), (7, 0), (23, 17), (25, 18), (3, 34), (29, 27), (10, 23), (31, 6), (23, 12), (0, 22), (18, 22), (31, 8), (5, 35), (33, 9), (21, 0), (7, 34), (1, 6), (0, 12), (14, 3), (13, 23), (32, 3), (25, 17), (16, 26), (13, 31), (30, 2), (7, 33), (27, 35), (3, 12), (8, 21), (21, 9), (24, 27), (20, 2), (20, 22), (17, 29), (17, 35), (22, 30), (33, 8), (25, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 39x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 30), (17, 19), (6, 5), (23, 0), (28, 12), (28, 9), (9, 20), (35, 18), (35, 31), (15, 4), (34, 4), (6, 34), (4, 14), (3, 23), (19, 13), (15, 25), (35, 8), (20, 34), (2, 16), (38, 29), (36, 24), (31, 4), (37, 14), (5, 34), (9, 5), (14, 34), (33, 10), (25, 0), (20, 1), (10, 20), (30, 11), (3, 22), (7, 10), (30, 32), (9, 0), (10, 34), (36, 12), (31, 14), (37, 33), (1, 13), (26, 20), (14, 2), (34, 24), (7, 3), (25, 11), (0, 18), (31, 21), (8, 31), (34, 14), (16, 9), (28, 31), (1, 32), (17, 15), (18, 30), (38, 28), (27, 4), (20, 13), (5, 16), (32, 16), (22, 4), (11, 31), (7, 21), (20, 30), (21, 12), (16, 18), (32, 20), (37, 25), (7, 6), (12, 10), (1, 2), (10, 12), (37, 1), (13, 7), (0, 4), (38, 0), (34, 5), (19, 18), (35, 0), (19, 27), (24, 21), (33, 29), (8, 20), (15, 28), (15, 19), (30, 19), (21, 34), (35, 29), (1, 11), (34, 34), (33, 6), (4, 3), (8, 2), (0, 26), (0, 8), (31, 28), (11, 12), (4, 26), (28, 24), (15, 26), (27, 18), (5, 22), (22, 22), (13, 30), (7, 9), (33, 28), (20, 16), (13, 23), (29, 26), (16, 25), (35, 5), (24, 30), (11, 4), (3, 8), (23, 13), (29, 27), (9, 7), (0, 32), (29, 34), (33, 27), (15, 31), (26, 15), (10, 13), (37, 16), (30, 29), (21, 16), (34, 29), (31, 27), (12, 12), (17, 5), (16, 16), (12, 9), (36, 22), (17, 16), (13, 13), (27, 13), (11, 24), (35, 2), (15, 16), (14, 10), (37, 22), (1, 8), (10, 18), (28, 8), (5, 9), (6, 4), (29, 1), (2, 15), (15, 14), (32, 24), (5, 33), (37, 8), (26, 9), (35, 22), (8, 1), (27, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 23), (2, 30), (5, 28), (32, 25), (19, 35), (16, 13), (34, 0), (26, 12), (9, 2), (30, 32), (24, 31), (2, 28), (7, 9), (10, 25), (29, 8), (15, 7), (2, 24), (27, 12), (25, 24), (9, 26), (17, 24), (9, 9), (35, 2), (6, 25), (22, 1), (31, 14), (15, 4), (21, 12), (16, 20), (13, 14), (22, 25), (25, 0), (17, 30), (14, 13), (24, 10), (21, 17), (4, 10), (27, 30), (36, 15), (19, 15), (11, 35), (33, 34), (9, 10), (21, 6), (0, 35), (4, 18), (0, 30), (28, 29), (33, 11), (23, 13), (19, 6), (10, 13), (11, 15), (36, 23), (10, 7), (5, 15), (15, 21), (28, 11), (4, 14), (8, 17), (14, 17), (5, 20), (23, 27), (14, 7), (28, 7), (25, 34), (1, 25), (30, 30), (33, 14), (27, 33), (24, 6), (27, 20), (17, 34), (2, 23), (24, 17), (32, 0), (15, 25), (12, 33), (9, 18), (32, 20), (11, 21), (5, 13), (6, 28), (29, 0), (14, 27), (30, 23), (23, 33), (34, 7), (3, 5), (9, 32), (29, 30), (7, 7), (21, 29), (8, 14), (16, 5), (33, 13), (9, 13), (35, 25), (17, 0), (22, 2), (11, 3), (31, 28), (2, 8), (21, 5), (20, 18), (10, 33), (14, 33), (16, 0), (16, 29), (27, 25), (28, 26), (20, 31), (23, 32), (2, 25), (17, 2), (29, 20), (32, 28), (13, 26), (9, 19), (20, 17), (27, 1), (15, 26), (7, 14), (4, 29), (33, 12), (6, 23), (23, 17), (9, 7), (35, 16), (4, 21), (11, 1), (24, 7), (2, 35), (17, 28), (12, 21), (28, 18), (21, 3), (18, 13), (29, 34), (24, 18), (35, 0), (22, 5), (1, 30), (17, 20), (12, 6), (19, 1), (13, 22), (9, 30), (34, 12), (4, 1), (16, 17), (4, 27), (35, 18), (36, 33), (1, 9), (20, 26), (3, 22), (1, 1), (34, 30), (5, 6), (2, 15), (18, 7), (32, 3), (33, 8), (26, 15), (19, 21), (9, 35), (26, 20), (7, 22), (28, 33), (16, 3), (32, 17), (24, 20), (27, 14), (9, 6), (3, 30), (36, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 1), (28, 0), (25, 16), (22, 18), (36, 0), (8, 19), (7, 12), (1, 9), (13, 26), (2, 16), (37, 17), (18, 0), (25, 0), (26, 23), (11, 7), (1, 1), (7, 28), (23, 10), (2, 13), (33, 5), (25, 6), (15, 20), (21, 30), (23, 33), (21, 9), (4, 12), (21, 18), (9, 3), (36, 7), (8, 11), (34, 25), (37, 30), (2, 23), (28, 24), (22, 14), (25, 9), (32, 10), (15, 19), (16, 18), (9, 12), (32, 4), (10, 19), (22, 16), (37, 1), (10, 27), (22, 3), (0, 13), (12, 0), (28, 25), (2, 9), (7, 5), (2, 2), (31, 15), (25, 23), (36, 15), (14, 31), (8, 30), (21, 32), (0, 5), (3, 13), (25, 17), (0, 8), (18, 19), (13, 13), (21, 22), (34, 29), (29, 20), (32, 9), (7, 21), (22, 5), (29, 14), (30, 12), (3, 26), (37, 6), (7, 22), (10, 13), (34, 17), (20, 21), (9, 4), (34, 24), (29, 10), (14, 25), (14, 18), (36, 1), (30, 8), (16, 24), (26, 4), (35, 30), (5, 33), (21, 28), (13, 1), (3, 1), (7, 32), (8, 5), (10, 1), (27, 26), (22, 1), (27, 14), (10, 11), (1, 23), (34, 33), (3, 32), (0, 21), (26, 6), (36, 10), (17, 14), (2, 24), (11, 3), (3, 12), (14, 12), (28, 30), (28, 19), (0, 26), (17, 1), (18, 6), (6, 18), (30, 13), (9, 19), (18, 10), (24, 20), (14, 3), (37, 5), (23, 16), (27, 22), (0, 30), (13, 0), (35, 14), (30, 2), (4, 22), (2, 1), (0, 28), (6, 31), (21, 1), (36, 17), (19, 32), (26, 7), (35, 15), (11, 26), (8, 26), (5, 18), (31, 17), (9, 0), (22, 11), (28, 22), (19, 17), (4, 9), (22, 13), (32, 23), (8, 6), (37, 4), (17, 29), (19, 10), (17, 4), (8, 15), (32, 8), (9, 16), (36, 19), (17, 18), (29, 22), (31, 33), (34, 13), (30, 15), (22, 17), (29, 5), (2, 11), (36, 14), (4, 33), (15, 25), (32, 16), (13, 33), (35, 1), (18, 32), (15, 31), (32, 5), (3, 28), (29, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 9), (25, 35), (9, 4), (21, 16), (28, 27), (19, 8), (3, 29), (2, 30), (26, 12), (30, 11), (0, 13), (11, 31), (27, 8), (6, 12), (1, 12), (1, 9), (29, 19), (5, 23), (26, 29), (12, 19), (13, 5), (7, 18), (9, 14), (8, 28), (23, 23), (24, 9), (35, 21), (8, 32), (6, 28), (9, 32), (35, 0), (3, 20), (15, 35), (9, 22), (26, 30), (24, 26), (22, 9), (13, 33), (25, 6), (11, 22), (22, 14), (10, 10), (10, 8), (28, 12), (20, 25), (34, 16), (26, 6), (1, 24), (12, 0), (13, 18), (27, 6), (20, 12), (12, 5), (23, 0), (1, 6), (32, 0), (7, 16), (16, 20), (23, 9), (18, 31), (24, 13), (37, 5), (24, 27), (14, 34), (37, 32), (36, 7), (11, 2), (26, 24), (30, 3), (18, 16), (29, 32), (37, 16), (26, 10), (22, 26), (24, 31), (26, 5), (24, 19), (20, 6), (21, 18), (35, 28), (23, 2), (25, 19), (13, 7), (4, 27), (31, 10), (22, 12), (21, 1), (27, 30), (20, 3), (21, 13), (36, 11), (22, 16), (12, 31), (34, 19), (0, 15), (0, 12), (31, 12), (11, 10), (16, 4), (10, 23), (0, 14), (3, 27), (31, 6), (19, 23), (23, 27), (18, 15), (5, 26), (15, 27), (17, 27), (20, 8), (6, 23), (15, 22), (24, 29), (14, 1), (22, 24), (15, 19), (29, 24), (3, 1), (36, 3), (21, 17), (13, 16), (14, 21), (9, 33), (31, 19), (3, 26), (8, 31), (36, 0), (19, 31), (2, 3), (7, 20), (26, 27), (19, 2), (2, 18), (21, 23), (17, 15), (16, 32), (25, 20), (16, 16), (36, 14), (12, 24), (9, 1), (17, 12), (27, 16), (0, 26), (1, 29), (32, 28), (5, 21), (29, 11), (35, 24), (3, 13), (11, 30), (4, 31), (1, 26), (26, 1), (18, 19), (29, 20), (19, 3), (13, 19), (13, 24), (24, 33), (17, 31), (24, 12), (10, 6), (20, 13), (29, 10), (23, 30), (25, 24), (4, 34), (36, 21), (30, 1), (20, 27), (25, 4), (2, 20), (7, 15), (36, 2), (26, 17), (3, 4), (32, 35), (28, 26), (34, 27), (14, 15), (7, 31), (35, 32), (35, 31), (8, 23), (1, 8), (5, 35), (20, 11), (7, 29), (12, 7), (13, 23), (19, 13), (33, 13), (18, 11), (21, 24), (31, 4), (33, 6), (19, 17), (1, 15), (35, 23), (23, 24), (33, 29), (21, 34), (23, 7), (17, 24), (20, 16), (31, 35), (4, 12), (23, 29), (19, 1), (31, 32), (35, 27), (25, 1), (33, 35), (4, 21), (2, 29), (3, 16), (2, 13), (9, 9), (27, 18), (21, 7), (31, 24), (19, 33), (36, 32), (31, 29), (9, 6), (2, 32), (9, 7), (15, 8), (25, 27), (28, 30), (13, 14), (9, 3), (0, 22), (24, 21), (1, 2), (8, 34), (0, 28), (2, 24), (1, 28), (14, 14), (11, 19), (4, 16), (9, 25), (37, 7), (2, 23), (24, 22), (17, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 37x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 0), (15, 12), (27, 24), (8, 18), (31, 7), (0, 5), (21, 31), (4, 9), (23, 12), (22, 1), (21, 14), (17, 7), (2, 14), (19, 21), (1, 2), (26, 13), (35, 2), (13, 15), (2, 25), (1, 35), (0, 35), (16, 2), (17, 6), (28, 19), (4, 35), (6, 35), (10, 26), (25, 25), (7, 22), (8, 33), (26, 0), (5, 27), (27, 16), (16, 32), (8, 16), (30, 28), (6, 11), (19, 29), (34, 7), (5, 11), (17, 21), (7, 20), (21, 12), (15, 30), (29, 14), (33, 33), (34, 13), (8, 22), (33, 30), (36, 27), (17, 0), (36, 5), (36, 14), (0, 2), (9, 30), (13, 34), (11, 24), (12, 15), (6, 15), (8, 10), (34, 29), (26, 29), (25, 22), (16, 12), (14, 19), (19, 18), (27, 27), (19, 26), (4, 3), (19, 0), (6, 13), (6, 26), (8, 28), (12, 2), (4, 18), (30, 22), (9, 19), (24, 11), (35, 24), (9, 13), (35, 8), (8, 26), (1, 28), (9, 23), (15, 18), (17, 13), (17, 14), (9, 35), (4, 16), (27, 29), (17, 23), (31, 23), (3, 2), (2, 32), (15, 31), (6, 17), (17, 20), (29, 23), (31, 25), (23, 9), (33, 32), (12, 10), (10, 18), (32, 35), (27, 19), (17, 27), (4, 27), (27, 1), (12, 18), (5, 14), (36, 2), (21, 3), (8, 8), (23, 31), (33, 4), (4, 33), (11, 14), (14, 29), (30, 33), (20, 9), (9, 18), (24, 21), (4, 28), (1, 8), (9, 22), (3, 5), (25, 28), (28, 5), (30, 30), (0, 27), (35, 5), (24, 4), (12, 7), (26, 7), (28, 25), (4, 12), (29, 4), (32, 11), (1, 9), (5, 3), (21, 28), (15, 4), (29, 0), (28, 27), (18, 16), (4, 23), (17, 15), (26, 34), (20, 19), (18, 20), (27, 34), (11, 29), (18, 4), (33, 20), (3, 34), (6, 23), (20, 25), (19, 1), (35, 19), (32, 0), (16, 0), (9, 6), (3, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 26), (27, 16), (5, 10), (0, 31), (31, 7), (26, 23), (29, 26), (19, 22), (34, 7), (4, 31), (15, 16), (8, 31), (35, 1), (29, 19), (36, 4), (12, 32), (21, 28), (18, 22), (35, 11), (13, 13), (28, 2), (36, 18), (33, 0), (31, 14), (29, 31), (24, 2), (30, 0), (34, 1), (14, 26), (21, 23), (32, 29), (11, 16), (9, 24), (16, 23), (9, 29), (34, 22), (32, 4), (22, 14), (14, 2), (26, 25), (30, 8), (29, 32), (24, 15), (12, 18), (18, 9), (21, 25), (20, 2), (16, 20), (28, 9), (36, 7), (30, 24), (3, 22), (0, 12), (5, 12), (23, 0), (15, 15), (8, 25), (25, 12), (26, 29), (4, 19), (19, 31), (35, 21), (1, 16), (15, 11), (31, 28), (5, 24), (18, 2), (33, 30), (4, 26), (23, 9), (1, 8), (7, 29), (3, 9), (24, 19), (31, 9), (25, 13), (33, 18), (25, 4), (25, 5), (22, 19), (9, 4), (31, 18), (22, 11), (15, 24), (17, 19), (21, 18), (7, 5), (20, 11), (1, 19), (12, 24), (5, 3), (32, 9), (34, 27), (8, 33), (17, 4), (22, 3), (22, 9), (13, 22), (35, 20), (20, 19), (4, 25), (4, 12), (14, 20), (14, 29), (31, 13), (0, 1), (8, 1), (30, 2), (25, 29), (12, 2), (3, 14), (36, 5), (21, 3), (17, 12), (3, 21), (31, 22), (28, 0), (0, 2), (7, 32), (17, 26), (16, 30), (7, 19), (24, 4), (30, 1), (23, 14), (29, 27), (6, 25), (31, 17), (29, 23), (25, 1), (10, 6), (10, 19), (23, 13), (24, 31), (1, 20), (5, 6), (31, 27), (3, 28), (34, 28), (27, 14), (18, 29), (6, 14), (32, 21), (1, 2), (9, 11), (25, 3), (16, 34), (34, 21), (16, 2), (26, 31), (2, 28), (30, 14), (5, 22), (32, 32), (15, 19), (28, 13), (16, 21), (13, 10), (21, 0), (20, 32), (3, 5), (13, 30), (32, 26), (23, 17), (11, 24), (33, 12), (7, 21), (2, 0), (3, 33), (31, 16), (36, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 32), (9, 8), (6, 13), (29, 30), (6, 14), (23, 23), (16, 32), (32, 26), (13, 22), (35, 25), (7, 8), (32, 22), (5, 0), (33, 31), (16, 11), (34, 9), (6, 7), (8, 7), (23, 13), (33, 20), (2, 30), (12, 8), (18, 33), (27, 4), (1, 25), (4, 33), (14, 14), (10, 9), (22, 6), (36, 16), (8, 14), (26, 32), (0, 23), (9, 33), (23, 6), (36, 27), (17, 14), (2, 21), (37, 25), (33, 8), (18, 19), (17, 1), (20, 26), (14, 25), (15, 9), (14, 6), (8, 24), (30, 16), (11, 7), (5, 9), (5, 33), (30, 1), (9, 9), (11, 17), (31, 31), (1, 9), (2, 27), (22, 11), (29, 15), (20, 24), (17, 19), (32, 28), (5, 21), (9, 5), (34, 30), (5, 24), (20, 6), (4, 1), (17, 4), (27, 23), (16, 29), (29, 29), (25, 18), (10, 19), (27, 27), (3, 27), (2, 12), (10, 11), (28, 29), (0, 14), (22, 26), (0, 26), (19, 21), (30, 3), (3, 2), (6, 24), (21, 31), (5, 26), (34, 23), (12, 2), (6, 3), (12, 11), (37, 7), (30, 8), (30, 12), (0, 11), (32, 15), (0, 2), (35, 20), (15, 19), (3, 15), (34, 28), (22, 31), (37, 19), (7, 2), (36, 22), (6, 0), (0, 9), (37, 22), (21, 25), (6, 31), (32, 2), (14, 27), (28, 4), (30, 29), (13, 16), (11, 2), (7, 7), (1, 22), (15, 18), (31, 5), (2, 16), (33, 4), (11, 14), (24, 10), (31, 33), (21, 1), (18, 5), (1, 8), (26, 8), (33, 18), (31, 11), (4, 2), (17, 30), (35, 16), (21, 19), (1, 27), (33, 12), (1, 21), (9, 31), (13, 1), (12, 18), (2, 22), (34, 25), (11, 12), (25, 22), (33, 26), (1, 2), (24, 19), (23, 5), (23, 25), (27, 11), (21, 28), (28, 27), (7, 31), (2, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 9), (7, 1), (16, 19), (19, 21), (6, 15), (18, 19), (17, 30), (24, 5), (25, 3), (20, 9), (5, 11), (14, 14), (2, 13), (6, 2), (8, 4), (15, 3), (18, 10), (3, 17), (10, 6), (13, 8), (1, 4), (27, 25), (14, 15), (7, 23), (22, 20), (14, 1), (7, 7), (1, 32), (21, 9), (25, 24), (27, 13), (27, 27), (21, 16), (10, 19), (6, 16), (8, 1), (11, 28), (13, 33), (8, 21), (24, 23), (17, 24), (15, 20), (25, 5), (25, 14), (5, 7), (19, 25), (1, 10), (14, 23), (2, 6), (28, 24), (5, 9), (22, 1), (17, 25), (24, 10), (10, 22), (5, 0), (7, 11), (5, 26), (2, 15), (14, 29), (11, 24), (30, 29), (30, 13), (12, 29), (22, 14), (20, 25), (2, 8), (23, 7), (8, 5), (4, 20), (15, 28), (1, 2), (22, 9), (27, 9), (4, 11), (23, 11), (7, 8), (29, 22), (24, 20), (24, 19), (30, 15), (20, 23), (8, 26), (22, 8), (3, 33), (7, 15), (26, 19), (11, 0), (10, 13), (15, 10), (2, 25), (8, 8), (11, 22), (18, 17), (6, 20), (28, 1), (19, 33), (12, 14), (10, 3), (27, 21), (0, 19), (10, 12), (7, 29), (13, 6), (31, 3), (11, 25), (13, 3), (19, 6), (27, 18), (3, 6), (27, 7), (16, 11), (18, 21), (14, 24), (20, 21), (21, 7), (31, 11), (11, 8), (3, 0), (7, 33), (21, 32), (26, 17), (26, 24), (1, 7), (28, 25), (0, 22), (0, 14), (22, 6), (31, 32), (11, 11), (15, 11), (23, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 15), (24, 9), (4, 18), (7, 29), (11, 29), (25, 4), (10, 10), (15, 24), (0, 32), (15, 14), (9, 18), (37, 16), (23, 20), (29, 5), (6, 9), (19, 13), (8, 22), (26, 29), (21, 9), (15, 3), (1, 0), (36, 8), (29, 22), (16, 8), (34, 0), (31, 0), (19, 16), (22, 26), (19, 1), (32, 0), (13, 1), (3, 11), (36, 23), (27, 1), (12, 13), (7, 27), (7, 17), (35, 29), (1, 20), (35, 5), (25, 21), (18, 24), (17, 10), (5, 3), (31, 24), (21, 28), (5, 16), (3, 20), (33, 13), (0, 17), (33, 20), (20, 3), (17, 8), (13, 23), (16, 23), (17, 13), (13, 10), (18, 10), (25, 23), (24, 14), (33, 25), (6, 32), (4, 19), (17, 5), (5, 6), (0, 7), (20, 23), (33, 9), (2, 8), (25, 24), (7, 10), (24, 6), (28, 12), (19, 10), (35, 22), (1, 1), (4, 7), (5, 21), (21, 1), (1, 29), (37, 14), (10, 30), (32, 13), (22, 13), (9, 17), (11, 21), (36, 26), (19, 9), (37, 2), (12, 10), (7, 7), (25, 12), (33, 19), (16, 18), (36, 17), (2, 32), (32, 17), (35, 18), (37, 11), (20, 4), (24, 29), (3, 30), (3, 10), (20, 2), (17, 6), (34, 3), (9, 0), (5, 1), (19, 21), (0, 24), (11, 6), (6, 11), (23, 30), (20, 1), (28, 2), (22, 11), (2, 4), (14, 4), (34, 14), (34, 26), (36, 14), (21, 32), (4, 16), (16, 6), (26, 14), (34, 12), (28, 32), (32, 15), (24, 19), (7, 12), (6, 14), (22, 3), (23, 19), (27, 30), (36, 21), (13, 11), (8, 28), (1, 17), (28, 11), (20, 12), (34, 31), (2, 16), (9, 30), (24, 28), (24, 22), (21, 12), (16, 0), (29, 23), (22, 32), (29, 15), (22, 14), (0, 19), (27, 6), (31, 32), (22, 0), (19, 5), (14, 7), (6, 12), (26, 18), (9, 4), (11, 30), (19, 19), (27, 0), (18, 14), (3, 24), (10, 16), (25, 16), (17, 29), (8, 7), (12, 9), (9, 10), (30, 30), (14, 1), (31, 27), (1, 13), (8, 1), (37, 4), (6, 20), (6, 7), (31, 23), (9, 14), (13, 2), (34, 17), (11, 23), (37, 29), (35, 9), (13, 5), (18, 27), (24, 10), (33, 15), (23, 29), (0, 4), (28, 13), (24, 23), (4, 20), (18, 32), (27, 10), (23, 6), (27, 16), (27, 26), (9, 15), (30, 4), (3, 14), (20, 6), (12, 3), (30, 20), (5, 27), (19, 8), (2, 29), (28, 29), (8, 19), (22, 23), (5, 13), (0, 16), (3, 22), (9, 13), (19, 30), (21, 15), (15, 13), (0, 21), (4, 17), (13, 31), (6, 22), (36, 11), (33, 14), (34, 13), (2, 24), (28, 25), (0, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 34x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 6), (26, 24), (29, 8), (24, 22), (10, 33), (30, 8), (1, 6), (4, 24), (24, 12), (21, 6), (31, 16), (11, 6), (16, 10), (14, 10), (6, 0), (2, 2), (31, 30), (30, 7), (13, 16), (12, 31), (29, 6), (1, 9), (19, 7), (22, 20), (29, 22), (5, 16), (17, 22), (8, 5), (10, 12), (15, 27), (23, 29), (10, 24), (32, 22), (30, 34), (32, 10), (0, 24), (30, 11), (14, 20), (1, 23), (3, 12), (13, 8), (16, 3), (0, 11), (13, 1), (0, 23), (2, 34), (20, 3), (15, 32), (19, 0), (32, 14), (10, 20), (23, 5), (3, 6), (31, 8), (27, 16), (19, 19), (11, 32), (12, 6), (7, 17), (6, 24), (28, 34), (11, 15), (19, 2), (8, 32), (20, 6), (29, 15), (33, 31), (19, 28), (28, 7), (15, 29), (26, 31), (28, 27), (0, 21), (25, 21), (28, 18), (20, 25), (6, 13), (18, 27), (23, 27), (17, 6), (24, 7), (31, 27), (6, 17), (26, 23), (4, 31), (33, 20), (29, 27), (19, 23), (6, 23), (6, 22), (14, 27), (9, 30), (12, 19), (19, 1), (24, 5), (28, 29), (13, 20), (8, 20), (12, 13), (9, 29), (19, 12), (24, 4), (4, 14), (16, 30), (22, 21), (9, 33), (26, 29), (27, 17), (26, 9), (18, 14), (32, 32), (19, 17), (3, 18), (20, 8), (17, 28), (28, 26), (31, 23), (33, 33), (22, 28), (19, 9), (9, 28), (8, 19), (1, 16), (18, 8), (14, 23), (4, 27), (14, 33), (21, 29), (33, 18), (17, 19), (1, 32), (15, 11), (18, 28), (5, 29), (1, 31), (5, 9), (27, 7), (19, 32), (30, 18), (28, 20), (21, 16), (29, 14), (33, 29), (2, 31), (14, 28), (24, 13), (30, 25), (11, 7), (20, 12), (7, 18), (5, 5), (10, 6), (3, 2), (1, 13), (8, 16), (9, 24), (28, 33), (4, 23), (16, 11), (3, 0), (29, 28), (12, 16), (27, 21), (24, 30), (3, 33), (15, 17), (13, 30), (20, 2), (26, 34), (30, 15), (13, 29), (3, 30), (21, 14), (4, 1), (26, 14), (3, 14), (21, 23), (6, 14), (1, 21), (21, 3), (22, 25), (10, 9), (31, 31), (12, 23), (27, 30), (17, 17), (12, 24), (10, 10), (16, 0), (28, 6), (4, 7), (8, 31), (8, 17), (32, 11), (2, 20), (5, 25), (5, 0), (20, 18), (18, 0), (27, 20), (28, 3), (23, 34), (27, 25), (4, 4), (17, 26), (14, 31), (26, 19), (1, 30), (7, 31), (31, 22), (15, 33), (15, 21), (14, 24), (22, 16), (12, 1), (11, 8), (23, 1), (22, 8), (4, 30), (27, 31), (4, 12), (17, 1), (9, 32), (18, 1), (7, 28), (32, 18), (4, 2), (3, 9), (25, 14), (7, 1), (7, 25), (32, 9), (4, 17), (18, 23), (30, 22), (29, 12), (21, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 19), (16, 14), (21, 12), (18, 25), (30, 25), (9, 16), (10, 3), (29, 25), (10, 28), (24, 2), (36, 30), (11, 25), (33, 4), (5, 1), (3, 5), (17, 16), (22, 18), (20, 18), (16, 6), (4, 0), (31, 26), (23, 6), (19, 28), (28, 25), (34, 12), (7, 17), (35, 3), (30, 15), (35, 2), (27, 1), (32, 21), (3, 10), (23, 22), (23, 4), (37, 21), (9, 14), (18, 23), (30, 11), (2, 2), (8, 18), (19, 7), (10, 2), (19, 11), (9, 7), (35, 1), (0, 2), (21, 4), (9, 31), (2, 30), (21, 8), (11, 8), (17, 9), (11, 31), (4, 2), (1, 15), (30, 28), (21, 20), (18, 1), (22, 10), (12, 25), (8, 28), (20, 17), (35, 27), (34, 18), (7, 12), (37, 22), (18, 10), (2, 26), (30, 6), (17, 6), (32, 18), (6, 31), (28, 31), (36, 6), (9, 24), (20, 13), (26, 3), (26, 18), (1, 14), (20, 7), (33, 17), (26, 30), (26, 13), (28, 30), (0, 21), (11, 30), (7, 8), (32, 14), (13, 24), (29, 23), (35, 20), (14, 8), (1, 27), (23, 16), (27, 19), (35, 12), (29, 29), (11, 1), (37, 26), (27, 13), (8, 12), (26, 23), (12, 28), (27, 3), (2, 24), (34, 3), (38, 9), (4, 8), (24, 5), (26, 28), (8, 20), (10, 10), (19, 0), (0, 3), (22, 27), (12, 10), (31, 13), (28, 22), (38, 29), (9, 10), (26, 26), (26, 2), (34, 4), (29, 4), (26, 14), (37, 30), (26, 15), (12, 19), (10, 21), (4, 11), (34, 30), (25, 13), (14, 27), (22, 31), (8, 15), (17, 4), (27, 21), (21, 29), (37, 20), (27, 28), (15, 20), (23, 19), (11, 18), (10, 27), (3, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 0), (12, 1), (1, 8), (6, 27), (12, 2), (19, 33), (22, 17), (7, 31), (10, 8), (17, 27), (29, 9), (31, 28), (33, 9), (14, 12), (16, 2), (24, 28), (28, 3), (4, 19), (13, 0), (20, 33), (1, 21), (14, 33), (3, 2), (33, 15), (28, 25), (1, 15), (9, 20), (23, 23), (12, 12), (27, 1), (6, 10), (15, 23), (17, 17), (14, 16), (26, 14), (22, 33), (28, 15), (1, 20), (29, 6), (9, 29), (9, 10), (6, 24), (0, 28), (4, 20), (16, 16), (3, 14), (23, 19), (14, 13), (16, 8), (4, 26), (17, 7), (28, 22), (14, 11), (16, 5), (24, 29), (3, 10), (10, 7), (20, 8), (34, 31), (21, 32), (22, 3), (16, 28), (5, 4), (33, 10), (10, 19), (2, 32), (30, 32), (28, 32), (15, 33), (6, 7), (6, 18), (2, 20), (12, 4), (30, 7), (12, 22), (20, 20), (6, 14), (32, 5), (10, 31), (21, 20), (12, 20), (29, 2), (10, 18), (22, 22), (14, 25), (32, 2), (24, 27), (17, 11), (18, 16), (32, 4), (31, 13), (12, 19), (33, 0), (16, 10), (22, 29), (1, 25), (14, 21), (27, 12), (10, 32), (17, 8), (11, 20), (5, 6), (26, 24), (11, 21), (1, 0), (33, 3), (29, 14), (9, 18), (18, 7), (22, 13), (23, 24), (7, 23), (5, 1), (5, 5), (6, 8), (21, 29), (8, 17), (1, 13), (0, 30), (15, 28), (21, 19), (24, 0), (2, 0), (14, 9), (17, 0), (20, 4), (2, 2), (34, 12), (1, 14), (15, 30), (9, 3), (10, 5), (0, 3), (10, 27), (8, 20), (4, 12), (21, 1), (33, 29), (26, 17), (25, 14), (20, 6), (23, 5), (21, 16), (21, 4), (15, 0), (22, 26), (9, 12), (31, 15), (2, 28), (18, 10), (28, 1), (21, 18), (11, 5), (30, 2), (16, 4), (4, 1), (18, 1), (13, 16), (15, 11), (7, 1), (15, 25), (21, 31), (11, 17), (7, 14), (31, 27), (21, 8), (4, 28), (29, 22), (12, 24), (19, 0), (15, 18), (20, 14), (14, 5), (5, 29), (24, 21), (21, 22), (8, 7), (26, 1), (19, 25), (2, 30), (7, 9), (30, 16), (0, 9), (29, 17), (18, 0), (33, 30), (22, 9), (15, 7), (1, 6), (23, 1), (9, 32), (14, 23), (18, 2), (8, 23), (13, 29), (28, 24), (18, 22), (4, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 19), (28, 27), (13, 4), (28, 3), (2, 29), (24, 3), (1, 25), (28, 9), (9, 8), (10, 8), (18, 3), (1, 3), (18, 11), (6, 29), (21, 14), (8, 21), (19, 9), (7, 22), (8, 11), (18, 16), (17, 23), (12, 0), (31, 2), (13, 25), (26, 3), (26, 27), (4, 29), (12, 29), (23, 22), (22, 9), (4, 12), (14, 25), (11, 5), (12, 14), (23, 6), (7, 16), (17, 11), (20, 17), (22, 22), (19, 17), (0, 25), (2, 21), (26, 29), (11, 29), (25, 17), (29, 22), (2, 23), (6, 2), (7, 2), (15, 28), (10, 1), (9, 23), (14, 19), (0, 21), (17, 7), (29, 7), (27, 6), (5, 22), (7, 28), (7, 4), (14, 12), (31, 9), (27, 24), (11, 7), (7, 27), (27, 9), (20, 2), (19, 16), (24, 7), (18, 19), (27, 22), (11, 19), (30, 1), (16, 12), (21, 8), (19, 13), (19, 18), (1, 5), (11, 28), (0, 6), (15, 3), (17, 5), (11, 14), (21, 27), (17, 29), (8, 12), (30, 26), (25, 28), (10, 11), (1, 18), (16, 16), (15, 24), (18, 10), (12, 7), (7, 0), (10, 12), (29, 23), (5, 20), (23, 25), (7, 18), (0, 13), (30, 0), (9, 29), (17, 17), (19, 19), (1, 19), (14, 22), (5, 25), (2, 20), (6, 26), (3, 12), (29, 15), (25, 12), (25, 5), (0, 23), (28, 0), (18, 12), (1, 21), (26, 6), (11, 9), (29, 24), (18, 2), (18, 24), (14, 4), (29, 28), (13, 3), (20, 29), (24, 22), (1, 8), (23, 16), (15, 21), (13, 5), (0, 10), (14, 17), (12, 5), (27, 27), (26, 19), (2, 1), (10, 26), (14, 21), (27, 12), (10, 9), (4, 26), (4, 3), (13, 8), (1, 13), (12, 16), (18, 7), (7, 25), (30, 18), (27, 14), (9, 20), (19, 5), (5, 5), (17, 20), (2, 3), (9, 16), (4, 0), (31, 13), (17, 10), (3, 9), (8, 20), (21, 19), (26, 18), (21, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 1), (35, 14), (12, 22), (29, 13), (30, 7), (8, 35), (18, 10), (21, 21), (29, 15), (24, 36), (25, 13), (32, 20), (0, 24), (0, 10), (18, 4), (7, 12), (16, 18), (35, 33), (35, 11), (36, 13), (4, 29), (22, 17), (0, 31), (32, 2), (7, 27), (33, 10), (7, 25), (0, 2), (23, 7), (16, 21), (2, 0), (13, 30), (3, 18), (17, 21), (4, 9), (21, 8), (8, 23), (35, 37), (0, 19), (37, 34), (34, 34), (30, 19), (1, 34), (31, 18), (24, 4), (22, 11), (7, 31), (32, 4), (23, 25), (27, 34), (19, 23), (30, 13), (8, 8), (20, 7), (12, 0), (37, 1), (22, 5), (11, 17), (1, 20), (11, 4), (21, 2), (22, 0), (0, 1), (34, 19), (26, 8), (5, 10), (0, 34), (11, 5), (30, 31), (28, 30), (13, 26), (20, 17), (31, 9), (5, 2), (26, 33), (29, 32), (27, 15), (27, 27), (27, 2), (19, 29), (16, 14), (19, 1), (10, 15), (4, 0), (21, 11), (15, 22), (13, 6), (18, 33), (33, 29), (9, 16), (13, 15), (19, 16), (33, 1), (24, 12), (4, 34), (6, 2), (27, 22), (4, 2), (12, 29), (15, 34), (3, 25), (30, 6), (18, 27), (1, 29), (21, 0), (21, 37), (34, 11), (2, 6), (5, 7), (13, 21), (4, 33), (7, 22), (31, 6), (1, 19), (3, 8), (15, 0), (2, 23), (3, 32), (15, 15), (32, 23), (10, 27), (11, 29), (7, 33), (6, 4), (28, 16), (3, 33), (16, 32), (25, 25), (26, 30), (30, 27), (24, 3), (15, 37), (12, 4), (28, 19), (26, 12), (13, 2), (34, 3), (11, 34), (3, 1), (24, 32), (12, 11), (10, 0), (35, 13), (14, 17), (12, 6), (11, 31), (10, 33), (2, 2), (11, 24), (20, 36), (21, 15), (17, 27), (3, 7), (31, 34), (17, 33), (19, 20), (12, 12), (26, 10), (9, 3), (29, 3), (4, 19), (14, 30), (8, 1), (29, 18), (16, 17), (21, 26), (18, 26), (14, 2), (4, 16), (23, 34), (6, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 33), (12, 8), (10, 29), (30, 21), (1, 30), (1, 33), (11, 30), (23, 4), (5, 30), (6, 12), (20, 21), (23, 0), (6, 34), (15, 30), (21, 3), (11, 15), (33, 11), (12, 9), (14, 32), (8, 25), (19, 16), (1, 27), (27, 21), (3, 8), (1, 26), (5, 5), (12, 15), (22, 4), (25, 22), (16, 10), (27, 17), (34, 23), (32, 1), (21, 29), (18, 28), (27, 26), (8, 6), (23, 9), (11, 22), (18, 32), (34, 5), (13, 11), (35, 14), (4, 10), (22, 13), (17, 22), (36, 4), (6, 19), (13, 10), (7, 31), (22, 29), (4, 15), (12, 7), (21, 17), (23, 24), (2, 17), (21, 4), (31, 12), (17, 16), (17, 21), (21, 13), (31, 21), (35, 0), (15, 18), (28, 30), (16, 0), (33, 12), (28, 32), (22, 3), (19, 9), (24, 3), (28, 18), (16, 27), (33, 6), (16, 12), (18, 7), (13, 0), (4, 9), (30, 31), (18, 13), (18, 2), (6, 11), (13, 5), (23, 15), (11, 13), (6, 6), (31, 6), (7, 14), (3, 20), (5, 6), (27, 13), (18, 24), (17, 15), (9, 5), (24, 16), (25, 27), (7, 30), (31, 15), (14, 26), (22, 33), (2, 1), (32, 7), (25, 16), (10, 8), (21, 0), (3, 11), (32, 8), (9, 2), (0, 22), (27, 14), (24, 7), (31, 18), (9, 32), (19, 32), (35, 25), (4, 18), (13, 25), (18, 0), (32, 28), (12, 3), (22, 28), (34, 13), (21, 1), (9, 11), (9, 19), (16, 15), (27, 8), (23, 2), (26, 24), (26, 25), (8, 24), (14, 29), (3, 14), (21, 32), (8, 10), (26, 31), (30, 33), (15, 10), (31, 0), (31, 10), (15, 15), (9, 14), (27, 4), (14, 1), (35, 27), (35, 13), (6, 13), (19, 31), (17, 28), (36, 27), (19, 17), (21, 31), (5, 26), (20, 9), (8, 34), (14, 24), (11, 10), (13, 18), (31, 29), (8, 14), (26, 13), (1, 5), (4, 4), (11, 23), (34, 14), (23, 25), (19, 6), (0, 33), (23, 1), (15, 23), (10, 20), (24, 6), (11, 12), (1, 34), (19, 19), (22, 17), (5, 0), (36, 6), (13, 3), (4, 33), (7, 32), (0, 31), (30, 23), (15, 8), (31, 14), (4, 12), (34, 9), (2, 9), (9, 3), (25, 25), (24, 32), (35, 33), (19, 3), (19, 14), (18, 27), (16, 20), (7, 27), (0, 12), (15, 33), (1, 8), (28, 31), (14, 25), (30, 16), (4, 3), (1, 18), (14, 21), (26, 0), (1, 19), (31, 1), (33, 2), (36, 5), (32, 4), (21, 19), (33, 13), (33, 28), (10, 26), (6, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 2), (16, 33), (24, 29), (22, 14), (22, 12), (30, 31), (24, 23), (15, 7), (30, 16), (2, 17), (25, 9), (23, 19), (33, 21), (22, 29), (27, 32), (17, 26), (31, 9), (18, 14), (30, 23), (28, 9), (12, 21), (16, 11), (17, 16), (17, 28), (13, 6), (27, 8), (29, 7), (1, 25), (5, 36), (21, 12), (9, 23), (1, 20), (30, 2), (21, 17), (29, 17), (12, 1), (27, 27), (4, 25), (13, 7), (8, 18), (14, 6), (22, 31), (20, 33), (21, 27), (1, 24), (18, 18), (31, 13), (18, 36), (4, 6), (2, 0), (10, 30), (8, 16), (18, 32), (23, 0), (2, 26), (26, 19), (26, 25), (20, 10), (13, 19), (14, 5), (5, 15), (2, 1), (24, 35), (25, 13), (5, 35), (26, 18), (26, 22), (13, 11), (29, 0), (4, 12), (12, 24), (34, 22), (16, 9), (6, 19), (19, 35), (11, 18), (6, 18), (25, 27), (34, 4), (19, 1), (28, 23), (18, 15), (21, 5), (10, 24), (2, 3), (13, 1), (6, 15), (21, 29), (27, 4), (16, 17), (23, 23), (12, 27), (0, 3), (14, 9), (1, 18), (8, 14), (17, 19), (12, 31), (17, 2), (5, 22), (6, 23), (22, 2), (4, 8), (20, 5), (22, 17), (33, 31), (1, 3), (4, 35), (27, 14), (14, 10), (1, 7), (33, 5), (0, 9), (32, 36), (32, 11), (27, 12), (30, 5), (30, 25), (33, 4), (28, 35), (18, 7), (9, 36), (9, 16), (20, 17), (7, 25), (26, 16), (25, 5), (1, 32), (29, 12), (25, 25), (29, 35), (15, 25), (4, 15), (11, 30), (33, 30), (1, 27), (27, 35), (6, 26), (15, 4), (18, 19), (2, 33), (2, 28), (8, 20), (3, 22), (16, 2), (18, 2), (34, 7), (12, 17), (32, 4), (12, 29), (20, 6), (13, 0), (3, 26), (34, 6), (22, 8), (0, 19), (29, 21), (23, 16), (10, 28), (27, 23), (30, 32), (12, 14), (20, 4), (5, 9), (30, 36), (17, 34), (3, 10), (7, 23), (25, 29), (27, 33), (22, 18), (10, 33), (4, 2), (22, 28), (0, 8), (1, 16), (28, 26), (12, 36), (19, 6), (27, 15), (2, 23), (2, 5), (29, 33), (9, 15), (9, 8), (21, 0), (15, 35), (1, 22), (28, 17), (11, 2), (5, 5), (11, 12), (29, 9), (21, 15), (15, 22), (26, 4), (28, 33), (0, 2), (21, 2), (11, 33), (32, 32), (6, 6), (2, 19), (19, 4), (9, 28), (32, 6), (31, 1), (11, 13), (30, 15), (19, 15), (29, 34), (22, 22), (25, 24), (33, 11), (33, 18), (31, 16), (18, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 34x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 28), (20, 2), (6, 4), (19, 21), (1, 9), (25, 29), (3, 10), (16, 32), (31, 0), (16, 1), (12, 20), (28, 21), (31, 22), (14, 5), (1, 22), (19, 11), (15, 1), (13, 19), (3, 25), (21, 13), (25, 27), (21, 31), (11, 1), (29, 12), (10, 27), (25, 5), (8, 8), (24, 9), (14, 19), (12, 24), (5, 9), (25, 0), (29, 28), (24, 5), (8, 13), (32, 3), (8, 3), (15, 15), (19, 16), (31, 30), (14, 3), (15, 6), (31, 16), (31, 28), (31, 20), (27, 16), (29, 16), (14, 17), (24, 30), (9, 5), (17, 25), (27, 31), (31, 3), (7, 5), (7, 4), (11, 31), (26, 29), (16, 10), (24, 8), (1, 0), (20, 19), (16, 9), (16, 29), (3, 24), (13, 31), (6, 3), (16, 33), (28, 20), (15, 16), (29, 1), (8, 11), (30, 10), (8, 10), (12, 33), (26, 20), (27, 12), (27, 26), (9, 21), (13, 12), (29, 23), (17, 15), (25, 25), (17, 17), (2, 20), (26, 0), (21, 6), (14, 23), (2, 10), (19, 33), (27, 10), (1, 20), (9, 10), (4, 6), (10, 24), (24, 13), (1, 3), (23, 2), (6, 12), (17, 10), (32, 26), (3, 7), (22, 19), (25, 30), (26, 24), (27, 7), (18, 16), (11, 16), (26, 1), (5, 3), (33, 23), (23, 16), (7, 18), (26, 18), (8, 18), (22, 15), (13, 27), (13, 6), (8, 6), (12, 27), (17, 28), (14, 14), (8, 7), (33, 6), (19, 14), (2, 32), (26, 6), (5, 32), (7, 27), (12, 11), (10, 10), (10, 23), (20, 18), (7, 16), (13, 18), (15, 31), (20, 27), (16, 8), (22, 3), (31, 33), (31, 12), (19, 4), (23, 17), (32, 12), (30, 16), (22, 5), (1, 28), (14, 15), (13, 30), (29, 14), (9, 28), (24, 0), (26, 13), (22, 17), (20, 15), (24, 4), (0, 14), (20, 31), (29, 3), (14, 24), (14, 29), (9, 26), (4, 19), (7, 20), (2, 27), (32, 29), (27, 30), (33, 24), (30, 29), (9, 25), (28, 26), (6, 23), (24, 16), (19, 27), (6, 21), (31, 1), (24, 6), (0, 9), (14, 1), (0, 6), (30, 11), (10, 32), (30, 0), (2, 30), (26, 23), (19, 1), (29, 20), (3, 16), (7, 8), (30, 28), (3, 31), (12, 31), (28, 25), (12, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 16), (21, 0), (1, 27), (7, 7), (26, 9), (25, 10), (26, 19), (0, 1), (27, 20), (18, 21), (1, 31), (3, 10), (22, 12), (22, 20), (2, 4), (8, 5), (24, 16), (24, 2), (16, 28), (15, 30), (0, 14), (3, 0), (1, 8), (11, 19), (2, 15), (1, 30), (13, 12), (21, 31), (23, 32), (26, 0), (18, 24), (15, 2), (24, 12), (0, 17), (20, 27), (21, 8), (22, 19), (8, 24), (23, 2), (8, 22), (11, 25), (9, 13), (24, 3), (8, 8), (2, 31), (29, 11), (28, 4), (2, 6), (13, 2), (7, 1), (30, 16), (9, 17), (19, 9), (25, 16), (9, 14), (4, 14), (7, 29), (13, 11), (22, 7), (11, 2), (25, 11), (5, 23), (23, 29), (29, 4), (18, 29), (1, 25), (9, 25), (6, 32), (14, 9), (15, 28), (29, 25), (8, 1), (23, 19), (19, 1), (6, 1), (21, 9), (5, 12), (15, 10), (11, 22), (15, 22), (21, 16), (14, 32), (15, 5), (24, 27), (21, 28), (13, 13), (11, 8), (12, 12), (2, 19), (2, 28), (7, 23), (0, 22), (29, 5), (8, 29), (8, 2), (30, 8), (7, 12), (10, 17), (6, 3), (10, 1), (29, 14), (14, 26), (9, 28), (22, 17), (29, 3), (22, 32), (12, 7), (1, 28), (20, 24), (2, 5), (12, 2), (21, 25), (17, 10), (0, 16), (24, 28), (19, 30), (2, 10), (30, 14), (21, 3), (24, 25), (3, 22), (0, 21), (23, 15), (30, 18), (6, 7), (13, 0), (24, 13), (3, 20), (28, 22), (0, 9), (3, 18), (18, 19), (28, 7), (26, 7), (10, 24), (8, 14), (2, 24), (9, 22), (11, 11), (24, 0), (21, 11), (26, 25), (3, 32), (3, 15), (19, 2), (3, 26), (17, 0), (4, 30), (17, 22), (6, 12), (22, 5), (6, 16), (29, 7), (11, 28), (15, 17), (3, 8), (7, 15), (5, 10), (14, 5), (9, 0), (2, 18), (19, 16), (18, 12), (20, 14), (20, 8), (4, 12), (21, 30), (0, 10), (7, 19), (27, 8), (23, 7), (30, 2), (28, 12), (29, 27), (17, 32), (23, 14), (16, 11), (21, 15), (14, 12), (7, 9), (27, 14), (9, 15), (25, 22), (8, 3), (10, 3), (1, 9), (26, 1), (26, 3), (3, 21), (25, 19), (1, 13), (14, 16), (27, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 34x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 3), (15, 23), (10, 15), (27, 16), (15, 4), (2, 5), (15, 15), (29, 9), (20, 2), (15, 24), (1, 23), (12, 3), (17, 5), (25, 10), (0, 18), (20, 11), (14, 24), (8, 1), (25, 12), (14, 2), (8, 22), (3, 10), (25, 28), (16, 17), (1, 7), (32, 18), (28, 12), (27, 6), (30, 21), (15, 18), (2, 4), (16, 29), (30, 7), (18, 28), (10, 14), (29, 0), (9, 11), (21, 16), (16, 0), (3, 26), (31, 7), (7, 21), (12, 1), (13, 25), (21, 24), (12, 16), (16, 14), (12, 11), (1, 25), (26, 11), (0, 20), (22, 12), (26, 5), (21, 28), (17, 18), (31, 14), (33, 1), (10, 25), (30, 15), (20, 10), (30, 16), (9, 3), (9, 26), (12, 26), (11, 27), (7, 1), (31, 11), (3, 29), (8, 6), (12, 12), (3, 6), (25, 24), (4, 20), (5, 17), (10, 8), (7, 25), (26, 17), (7, 5), (18, 15), (14, 27), (26, 20), (23, 27), (19, 19), (3, 18), (23, 22), (28, 21), (22, 20), (6, 9), (7, 0), (2, 24), (33, 25), (6, 28), (27, 23), (14, 19), (33, 0), (19, 21), (18, 1), (1, 15), (28, 0), (1, 20), (24, 0), (8, 14), (2, 13), (19, 22), (25, 26), (22, 23), (16, 22), (6, 5), (7, 4), (30, 17), (28, 20), (28, 24), (4, 11), (32, 0), (1, 12), (25, 0), (10, 13), (6, 17), (22, 9), (32, 23), (17, 0), (22, 14), (18, 22), (8, 25), (31, 15), (28, 15), (32, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 5), (3, 5), (12, 35), (30, 30), (10, 11), (15, 34), (8, 21), (27, 3), (5, 26), (1, 20), (7, 6), (20, 26), (33, 23), (11, 13), (11, 32), (4, 34), (23, 32), (17, 35), (6, 21), (0, 20), (12, 13), (26, 0), (0, 26), (9, 23), (6, 2), (25, 1), (4, 28), (33, 29), (2, 3), (30, 28), (15, 2), (11, 36), (23, 6), (5, 36), (34, 21), (24, 11), (12, 28), (2, 24), (23, 25), (0, 35), (27, 12), (33, 9), (5, 31), (32, 10), (14, 13), (19, 14), (8, 25), (18, 28), (10, 13), (25, 19), (0, 30), (7, 26), (4, 20), (10, 14), (31, 13), (7, 30), (2, 31), (3, 26), (3, 34), (4, 33), (23, 13), (6, 23), (7, 4), (2, 17), (1, 32), (11, 25), (31, 12), (20, 25), (10, 32), (1, 4), (31, 8), (8, 9), (11, 30), (34, 26), (14, 18), (19, 36), (17, 7), (0, 17), (2, 32), (28, 23), (24, 25), (6, 4), (21, 27), (2, 25), (32, 13), (10, 22), (14, 24), (11, 2), (4, 35), (27, 30), (17, 11), (8, 8), (11, 1), (20, 23), (34, 9), (19, 31), (30, 27), (8, 29), (12, 1), (5, 16), (4, 9), (23, 17), (1, 7), (4, 4), (2, 36), (5, 30), (0, 13), (23, 36), (3, 30), (11, 0), (28, 32), (11, 3), (19, 25), (31, 11), (1, 28), (20, 19), (32, 29), (4, 6), (29, 25), (31, 34), (24, 16), (8, 18), (9, 12), (12, 17), (28, 29), (8, 28), (30, 25), (30, 10), (17, 9), (9, 25), (18, 12), (5, 35), (5, 6), (4, 16), (25, 14), (34, 32), (21, 25), (3, 27), (8, 22), (27, 19), (13, 34), (31, 32), (23, 0), (29, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 31x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 1), (9, 7), (23, 16), (4, 23), (8, 13), (18, 10), (18, 14), (28, 2), (30, 13), (21, 11), (0, 17), (20, 28), (9, 29), (30, 23), (6, 25), (21, 10), (10, 29), (2, 14), (6, 28), (30, 3), (3, 7), (1, 26), (15, 22), (3, 22), (11, 14), (18, 5), (8, 2), (2, 30), (20, 20), (19, 24), (19, 12), (12, 9), (0, 3), (15, 13), (18, 20), (10, 21), (6, 30), (4, 8), (12, 15), (26, 2), (8, 19), (9, 0), (16, 24), (1, 22), (5, 6), (4, 18), (4, 10), (5, 14), (17, 21), (19, 22), (25, 1), (12, 16), (6, 22), (20, 7), (18, 22), (3, 27), (16, 16), (23, 30), (30, 25), (12, 10), (23, 26), (26, 20), (15, 20), (10, 1), (25, 4), (2, 22), (29, 19), (2, 8), (11, 23), (10, 16), (22, 7), (25, 11), (26, 3), (16, 11), (17, 15), (30, 1), (23, 13), (7, 1), (29, 2), (16, 22), (15, 3), (26, 11), (24, 16), (16, 28), (28, 7), (29, 12), (2, 19), (9, 12), (3, 11), (24, 5), (10, 18), (15, 12), (7, 2), (10, 11), (22, 3), (15, 5), (5, 13), (22, 29), (24, 23), (4, 26), (16, 18), (25, 24), (27, 29), (28, 28), (21, 2), (18, 2), (26, 10), (0, 21), (2, 27), (7, 25), (10, 2), (21, 15), (18, 27), (4, 6), (13, 28), (24, 6), (9, 30), (3, 4), (12, 14), (11, 11), (13, 7), (4, 0), (7, 18), (30, 28), (24, 2), (27, 19), (6, 23), (8, 12), (2, 24), (12, 12), (17, 29), (30, 24), (25, 28), (1, 17), (17, 22), (28, 6), (14, 22), (20, 18), (22, 0), (27, 28), (2, 10), (4, 2), (3, 23), (7, 11), (21, 17), (14, 3), (6, 21), (14, 13), (19, 25), (28, 9), (5, 27), (21, 25), (7, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 10), (0, 23), (3, 4), (20, 26), (16, 11), (16, 13), (3, 11), (31, 0), (30, 24), (2, 12), (17, 20), (16, 26), (9, 3), (23, 26), (10, 13), (6, 24), (15, 20), (14, 28), (20, 11), (24, 9), (22, 19), (20, 6), (21, 5), (11, 16), (25, 14), (12, 26), (29, 6), (30, 6), (18, 27), (3, 9), (3, 12), (17, 21), (9, 17), (11, 11), (16, 16), (7, 30), (14, 22), (10, 4), (13, 9), (17, 17), (28, 25), (17, 29), (11, 7), (6, 22), (2, 8), (13, 30), (4, 0), (30, 3), (4, 6), (7, 5), (10, 5), (22, 13), (30, 21), (23, 3), (12, 27), (15, 16), (18, 21), (10, 17), (15, 12), (9, 30), (27, 9), (13, 7), (26, 15), (1, 17), (22, 8), (17, 6), (21, 12), (28, 30), (14, 0), (9, 22), (21, 7), (1, 5), (21, 18), (17, 23), (31, 18), (23, 5), (2, 3), (6, 13), (26, 10), (29, 10), (10, 12), (24, 6), (23, 17), (23, 1), (17, 13), (12, 9), (14, 9), (2, 14), (3, 21), (2, 0), (17, 26), (3, 0), (13, 21), (27, 28), (29, 29), (20, 2), (24, 27), (0, 5), (22, 30), (11, 24), (8, 11), (21, 4), (23, 18), (26, 21), (20, 14), (12, 3), (24, 16), (28, 9), (6, 8), (28, 29), (22, 11), (23, 7), (24, 21), (2, 27), (24, 22), (15, 15), (5, 19), (22, 18), (28, 4), (27, 15), (20, 0), (31, 17), (1, 23), (15, 13), (20, 7), (29, 18), (23, 20), (22, 17), (9, 29), (10, 8), (13, 17), (26, 18), (25, 4), (15, 28), (19, 8), (27, 5), (13, 10), (3, 13), (19, 3), (18, 22), (8, 1), (1, 15), (15, 0), (8, 6), (11, 1), (19, 2), (13, 27), (21, 21), (25, 19), (4, 28), (8, 22), (2, 7), (19, 0), (31, 22), (20, 9), (13, 16), (21, 2), (9, 20), (21, 29), (23, 9), (19, 16), (2, 21), (7, 23), (28, 12), (11, 2), (31, 16), (29, 8), (16, 23), (24, 3), (20, 21), (20, 13), (4, 19), (4, 20), (21, 25), (1, 25), (28, 18), (3, 16), (29, 9), (9, 21), (26, 4), (10, 16), (13, 0), (18, 9), (6, 2), (9, 4), (29, 0), (28, 0), (6, 4), (22, 28), (24, 2), (10, 14), (24, 15), (26, 27), (30, 23), (15, 10), (3, 24), (9, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 39x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 35), (30, 28), (36, 3), (13, 6), (13, 23), (21, 4), (1, 6), (27, 25), (27, 6), (29, 26), (3, 15), (29, 12), (31, 9), (14, 21), (19, 8), (24, 8), (17, 27), (33, 5), (16, 2), (25, 0), (34, 19), (20, 16), (34, 18), (27, 19), (7, 8), (33, 11), (17, 30), (14, 14), (19, 9), (32, 34), (21, 31), (3, 19), (34, 8), (6, 30), (15, 30), (24, 17), (15, 24), (12, 13), (17, 2), (15, 1), (24, 32), (36, 14), (34, 34), (18, 34), (8, 30), (33, 9), (20, 5), (32, 23), (21, 33), (29, 10), (17, 11), (25, 19), (23, 29), (7, 35), (31, 34), (28, 32), (13, 16), (27, 24), (10, 7), (38, 4), (1, 26), (12, 3), (6, 21), (32, 15), (18, 25), (34, 3), (35, 8), (17, 23), (1, 2), (5, 35), (27, 15), (0, 7), (37, 34), (15, 28), (26, 11), (38, 30), (25, 29), (8, 18), (27, 16), (27, 13), (5, 4), (28, 17), (22, 32), (14, 31), (18, 22), (30, 24), (10, 0), (7, 33), (15, 0), (15, 3), (14, 1), (11, 24), (5, 7), (26, 24), (3, 16), (27, 21), (37, 2), (33, 24), (19, 24), (7, 9), (7, 25), (11, 22), (19, 10), (37, 3), (11, 33), (21, 34), (19, 6), (7, 1), (15, 13), (18, 35), (24, 0), (4, 13), (7, 5), (6, 31), (37, 11), (29, 9), (28, 6), (28, 1), (11, 4), (4, 6), (1, 24), (0, 16), (21, 12), (15, 11), (19, 29), (8, 19), (18, 9), (25, 8), (14, 2), (13, 10), (11, 2), (23, 27), (16, 30), (30, 34), (24, 21), (16, 9), (7, 12), (26, 5), (31, 3), (9, 7), (2, 17), (4, 29), (7, 29), (23, 15), (20, 12), (1, 0), (38, 7), (33, 34), (0, 29), (33, 18), (13, 34), (11, 27), (2, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 1), (19, 17), (7, 8), (19, 26), (26, 20), (24, 19), (18, 19), (1, 5), (27, 26), (26, 31), (15, 9), (12, 33), (13, 24), (19, 13), (17, 12), (23, 17), (8, 29), (11, 5), (16, 16), (23, 14), (27, 17), (10, 22), (18, 27), (19, 6), (25, 19), (27, 19), (22, 31), (1, 29), (14, 26), (8, 21), (1, 14), (28, 27), (28, 35), (2, 25), (20, 0), (18, 1), (5, 8), (14, 34), (12, 5), (8, 2), (8, 18), (18, 18), (7, 13), (16, 17), (25, 20), (17, 7), (4, 19), (6, 9), (10, 0), (19, 36), (16, 24), (2, 4), (9, 27), (19, 8), (6, 21), (1, 34), (26, 2), (21, 22), (18, 2), (20, 29), (8, 4), (21, 23), (1, 30), (16, 2), (7, 14), (25, 8), (8, 1), (23, 11), (26, 13), (4, 9), (13, 32), (12, 19), (12, 1), (3, 9), (28, 12), (24, 21), (9, 34), (0, 4), (16, 32), (25, 26), (24, 24), (15, 10), (7, 22), (11, 0), (2, 24), (3, 36), (19, 3), (7, 9), (5, 33), (27, 20), (24, 15), (27, 18), (16, 15), (9, 13), (19, 16), (21, 4), (22, 28), (10, 31), (22, 9), (4, 27), (16, 12), (22, 16), (21, 14), (12, 7), (19, 2), (4, 34), (1, 25), (7, 4), (11, 4), (14, 13), (27, 25), (2, 23), (19, 1), (27, 34), (10, 10), (19, 12), (5, 22), (24, 11), (2, 15), (8, 31), (29, 22), (12, 35), (26, 25), (10, 1), (9, 9), (21, 25), (23, 12), (12, 26), (7, 30), (24, 1), (13, 35), (25, 9), (7, 26), (25, 2), (13, 20), (27, 31), (4, 8), (3, 30), (7, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 7), (2, 1), (15, 26), (12, 15), (33, 31), (34, 9), (31, 6), (21, 11), (16, 15), (33, 9), (1, 23), (27, 3), (31, 12), (19, 11), (30, 30), (9, 19), (26, 21), (29, 16), (17, 32), (29, 2), (13, 33), (28, 25), (26, 29), (13, 27), (2, 21), (20, 0), (16, 0), (8, 4), (8, 35), (0, 26), (24, 29), (23, 33), (17, 35), (34, 2), (13, 20), (5, 18), (12, 23), (5, 16), (13, 24), (15, 9), (28, 32), (7, 8), (4, 5), (10, 33), (12, 18), (31, 2), (28, 10), (1, 16), (3, 21), (17, 11), (4, 33), (34, 19), (10, 2), (14, 27), (18, 8), (9, 20), (0, 35), (24, 11), (9, 34), (29, 24), (11, 19), (28, 14), (29, 29), (4, 32), (16, 12), (27, 2), (12, 22), (23, 30), (21, 6), (23, 11), (3, 10), (10, 35), (1, 20), (17, 14), (33, 14), (29, 0), (3, 2), (4, 3), (4, 18), (11, 3), (26, 4), (20, 22), (1, 32), (15, 25), (25, 33), (2, 0), (13, 31), (21, 22), (17, 10), (19, 10), (10, 0), (6, 18), (18, 25), (6, 6), (5, 9), (14, 26), (9, 15), (34, 21), (12, 12), (27, 10), (11, 35), (30, 34), (2, 13), (26, 27), (5, 26), (10, 15), (34, 11), (12, 32), (14, 19), (26, 35), (25, 14), (26, 22), (20, 24), (29, 14), (12, 21), (0, 24), (1, 27), (14, 11), (14, 31), (9, 22), (25, 28), (18, 26), (23, 26), (6, 13), (2, 8), (1, 26), (32, 12), (12, 27), (30, 17), (8, 31), (32, 35), (6, 15), (12, 35), (27, 14), (6, 24), (12, 26), (25, 32), (7, 24), (11, 11), (22, 0), (16, 27), (33, 23), (12, 1), (15, 11), (29, 10), (34, 5), (2, 4), (27, 32), (3, 9), (18, 31), (27, 8), (3, 33), (4, 21), (24, 13), (33, 21), (21, 17), (11, 33), (31, 3), (21, 3), (14, 35), (16, 35), (28, 17), (17, 18), (12, 31), (10, 16), (32, 19), (17, 13), (28, 7), (5, 23), (12, 13), (4, 9), (34, 17), (22, 21), (17, 15), (33, 15), (5, 28), (19, 3), (7, 31), (2, 17), (3, 19), (3, 17), (5, 27), (20, 25), (4, 31), (21, 27), (32, 29), (19, 6), (7, 0), (11, 32), (29, 3), (34, 16), (20, 26), (24, 7), (2, 26), (0, 11), (4, 30), (18, 2), (15, 15), (11, 17), (18, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 2), (21, 13), (2, 30), (5, 11), (21, 9), (28, 10), (12, 18), (22, 24), (5, 10), (10, 20), (0, 4), (33, 17), (7, 37), (15, 14), (36, 1), (18, 17), (30, 16), (24, 29), (1, 29), (32, 36), (32, 6), (9, 29), (11, 9), (6, 15), (6, 14), (32, 8), (29, 2), (17, 5), (1, 4), (22, 5), (22, 11), (18, 31), (1, 30), (16, 30), (10, 6), (7, 28), (17, 14), (31, 23), (12, 35), (18, 24), (14, 16), (9, 35), (24, 9), (13, 27), (15, 15), (25, 31), (28, 9), (1, 23), (19, 2), (27, 12), (7, 7), (18, 7), (18, 38), (14, 32), (7, 38), (1, 2), (36, 28), (8, 31), (26, 38), (3, 4), (18, 19), (24, 14), (23, 27), (13, 30), (23, 0), (6, 3), (11, 19), (27, 4), (17, 25), (3, 20), (32, 30), (9, 36), (0, 34), (10, 34), (21, 11), (15, 5), (22, 10), (28, 31), (21, 29), (18, 34), (4, 14), (10, 17), (23, 38), (29, 21), (35, 37), (9, 21), (36, 27), (3, 2), (14, 14), (24, 28), (9, 24), (33, 18), (5, 21), (2, 16), (3, 16), (29, 5), (27, 36), (26, 23), (10, 3), (17, 7), (26, 28), (0, 29), (14, 13), (14, 35), (34, 11), (10, 31), (7, 26), (7, 31), (35, 4), (16, 33), (15, 10), (30, 21), (29, 8), (8, 1), (11, 34), (6, 20), (28, 32), (10, 32), (20, 32), (4, 0), (22, 25), (13, 32), (22, 20), (6, 23), (3, 19), (13, 10), (19, 16), (29, 9), (10, 23), (26, 31), (16, 15), (31, 11), (31, 22), (13, 5), (18, 37), (8, 2), (33, 28), (17, 2), (30, 12), (35, 8), (17, 4), (31, 35), (2, 28), (11, 22), (22, 18), (33, 12), (15, 34), (32, 9), (22, 13), (28, 13), (2, 25), (23, 28), (20, 36), (4, 29), (28, 22), (35, 36), (17, 18), (19, 24), (20, 38), (3, 26), (31, 4), (34, 19), (3, 37), (3, 17), (18, 20), (13, 1), (3, 5), (19, 32), (29, 12), (11, 1), (22, 36), (15, 6), (20, 27), (4, 8), (36, 26), (34, 24), (9, 32), (9, 18), (28, 24), (6, 6), (5, 13), (14, 10), (32, 23), (19, 3), (4, 35), (31, 37), (24, 20), (17, 31), (31, 5), (29, 19), (29, 36), (6, 32), (29, 13), (35, 34), (34, 17), (5, 1), (5, 7), (12, 13), (13, 26), (32, 37), (20, 7), (21, 35), (33, 15), (34, 26), (29, 16), (10, 10), (22, 14), (19, 5), (33, 2), (33, 10), (4, 33), (1, 27), (8, 35), (13, 17), (19, 26), (5, 17), (29, 27), (25, 13), (28, 35), (34, 13), (35, 1), (16, 3), (36, 31), (8, 0), (24, 31), (34, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 11), (16, 12), (27, 24), (0, 26), (3, 10), (27, 26), (11, 11), (10, 11), (15, 11), (3, 16), (20, 11), (3, 7), (17, 10), (34, 32), (2, 33), (13, 28), (13, 20), (8, 6), (29, 8), (6, 28), (12, 11), (22, 26), (25, 19), (30, 19), (17, 9), (18, 24), (26, 22), (3, 32), (14, 3), (25, 33), (24, 10), (27, 8), (29, 4), (28, 26), (33, 33), (25, 8), (10, 22), (22, 18), (8, 11), (22, 0), (9, 15), (20, 7), (25, 3), (17, 31), (20, 20), (29, 9), (29, 10), (0, 27), (13, 7), (17, 0), (10, 8), (15, 18), (3, 30), (1, 3), (23, 36), (21, 30), (2, 15), (4, 30), (4, 18), (14, 20), (20, 31), (7, 18), (17, 4), (6, 22), (5, 1), (26, 13), (29, 26), (16, 15), (17, 13), (34, 4), (26, 34), (24, 17), (18, 31), (20, 27), (18, 21), (27, 34), (33, 37), (9, 24), (27, 20), (4, 2), (24, 29), (17, 22), (10, 20), (8, 14), (1, 17), (8, 29), (32, 22), (30, 5), (3, 8), (32, 10), (10, 19), (5, 16), (32, 4), (20, 36), (21, 6), (13, 10), (17, 1), (23, 6), (1, 18), (31, 29), (14, 27), (20, 12), (20, 30), (17, 5), (14, 23), (8, 36), (27, 32), (33, 34), (19, 22), (28, 33), (23, 18), (23, 5), (10, 17), (2, 18), (34, 12), (4, 15), (32, 32), (26, 37), (19, 17), (23, 9), (4, 37), (21, 10), (9, 22), (14, 13), (31, 7), (2, 10), (33, 16), (8, 8), (28, 0), (10, 12), (0, 1), (19, 36), (32, 21), (28, 10), (29, 15), (27, 27), (28, 19), (13, 18), (3, 35), (13, 2), (4, 24), (30, 26), (32, 1), (21, 37), (29, 18), (3, 19), (20, 3), (16, 8), (17, 7), (28, 7), (4, 11), (14, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 2), (8, 24), (20, 4), (12, 5), (13, 4), (15, 29), (2, 30), (28, 25), (7, 25), (0, 6), (26, 13), (6, 4), (12, 25), (29, 0), (29, 30), (8, 27), (24, 32), (8, 15), (4, 19), (21, 27), (22, 26), (23, 28), (20, 13), (19, 33), (15, 17), (5, 10), (18, 3), (7, 3), (7, 23), (0, 14), (1, 13), (18, 10), (3, 1), (13, 8), (26, 9), (18, 4), (5, 9), (18, 8), (14, 6), (1, 24), (23, 15), (7, 24), (12, 0), (26, 6), (24, 28), (1, 3), (15, 12), (9, 33), (7, 7), (28, 1), (11, 24), (13, 11), (26, 26), (29, 25), (3, 26), (26, 14), (25, 25), (14, 24), (0, 11), (7, 27), (11, 2), (16, 10), (9, 4), (21, 11), (0, 33), (24, 17), (21, 16), (26, 32), (27, 6), (19, 13), (23, 18), (25, 18), (20, 17), (24, 20), (21, 1), (9, 8), (1, 21), (13, 10), (11, 7), (6, 10), (14, 31), (17, 21), (24, 14), (23, 12), (11, 4), (2, 14), (12, 15), (16, 11), (2, 27), (3, 9), (30, 10), (28, 34), (28, 10), (12, 4), (23, 21), (19, 24), (8, 32), (7, 8), (30, 21), (24, 15), (29, 27), (19, 8), (26, 4), (14, 26), (9, 18), (21, 19), (8, 26), (18, 17), (5, 8), (30, 18), (1, 4), (10, 34), (0, 23), (17, 19), (13, 19), (30, 31), (8, 28), (1, 26), (17, 2), (13, 28), (10, 12), (8, 12), (6, 0), (11, 3), (26, 27), (5, 31), (24, 7), (24, 6), (28, 23), (10, 19), (30, 33), (9, 17), (20, 33), (18, 19), (15, 5), (14, 23), (12, 11), (14, 11), (29, 5), (4, 20), (7, 12), (9, 27), (9, 31), (13, 27), (5, 22), (3, 0), (25, 16), (19, 21), (0, 27), (18, 27), (27, 13), (5, 17), (28, 32), (19, 28), (2, 23), (30, 25), (3, 12), (2, 9), (15, 4), (12, 3), (22, 33), (10, 1), (19, 16), (19, 6), (12, 2), (11, 21), (11, 22), (20, 29), (22, 23), (12, 34), (23, 20), (4, 24), (3, 3), (15, 1), (1, 23), (18, 13), (7, 15), (10, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 2), (5, 16), (29, 0), (25, 9), (18, 22), (21, 26), (11, 20), (8, 30), (14, 7), (2, 8), (10, 21), (7, 11), (20, 12), (1, 0), (1, 23), (16, 27), (1, 17), (3, 16), (14, 8), (12, 1), (18, 14), (16, 28), (22, 7), (7, 24), (8, 19), (13, 2), (6, 34), (20, 1), (29, 8), (29, 17), (28, 25), (12, 21), (10, 9), (18, 10), (7, 19), (2, 19), (12, 32), (10, 26), (25, 21), (24, 26), (12, 27), (18, 34), (13, 19), (4, 5), (18, 1), (26, 8), (5, 24), (18, 25), (9, 26), (19, 26), (13, 4), (18, 7), (21, 17), (9, 2), (14, 17), (1, 8), (24, 6), (26, 29), (27, 7), (27, 14), (12, 29), (28, 32), (10, 19), (10, 2), (9, 13), (29, 21), (19, 22), (27, 30), (19, 25), (16, 26), (1, 25), (9, 33), (27, 25), (4, 8), (21, 34), (1, 7), (19, 18), (19, 10), (6, 5), (13, 0), (10, 11), (6, 6), (1, 27), (19, 33), (1, 14), (9, 20), (7, 15), (2, 29), (26, 1), (3, 5), (12, 2), (4, 1), (4, 30), (22, 23), (8, 26), (25, 8), (27, 23), (9, 14), (25, 24), (20, 26), (7, 31), (2, 4), (24, 7), (14, 20), (0, 16), (2, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 19), (26, 5), (10, 6), (0, 2), (6, 21), (4, 4), (32, 5), (23, 1), (16, 18), (4, 10), (32, 29), (2, 10), (9, 20), (21, 18), (4, 32), (13, 20), (23, 15), (22, 21), (22, 5), (2, 30), (14, 5), (3, 14), (31, 36), (28, 3), (8, 20), (34, 18), (16, 1), (32, 19), (6, 17), (27, 23), (23, 10), (29, 18), (11, 34), (11, 17), (30, 9), (17, 31), (0, 32), (14, 23), (20, 11), (20, 19), (8, 29), (21, 11), (16, 10), (9, 30), (4, 16), (34, 27), (15, 24), (22, 28), (19, 11), (15, 5), (13, 4), (1, 19), (14, 10), (26, 32), (19, 10), (4, 23), (13, 2), (30, 28), (26, 11), (7, 10), (24, 19), (11, 25), (0, 17), (20, 25), (34, 2), (27, 16), (8, 22), (26, 14), (15, 17), (16, 37), (2, 36), (29, 27), (15, 28), (9, 21), (3, 10), (10, 26), (10, 14), (13, 27), (26, 2), (14, 6), (14, 13), (8, 14), (16, 15), (1, 7), (13, 16), (0, 33), (19, 3), (32, 30), (7, 3), (1, 34), (8, 24), (5, 18), (13, 14), (22, 16), (16, 16), (32, 34), (7, 32), (1, 11), (33, 9), (17, 8), (2, 8), (32, 16), (28, 17), (15, 36), (15, 9), (12, 31), (30, 5), (10, 4), (21, 14), (9, 19), (7, 31), (28, 23), (30, 15), (11, 15), (20, 28), (9, 31), (25, 36), (21, 5), (14, 9), (25, 25), (20, 26), (29, 22), (30, 23), (4, 27), (33, 1), (23, 30), (0, 13), (28, 19), (24, 37), (4, 20), (19, 9), (5, 14), (25, 9), (31, 24), (19, 27), (4, 9), (11, 14), (17, 19), (9, 35), (22, 6), (2, 28), (8, 7), (18, 19), (21, 24), (6, 27), (22, 27), (15, 35), (19, 14), (28, 7), (13, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 25), (25, 9), (29, 13), (17, 31), (28, 22), (22, 20), (8, 9), (32, 24), (6, 27), (8, 35), (35, 22), (17, 23), (30, 13), (30, 18), (7, 2), (21, 29), (8, 10), (8, 23), (2, 34), (27, 25), (9, 30), (34, 17), (4, 7), (13, 12), (2, 26), (15, 17), (11, 35), (19, 12), (21, 2), (7, 7), (14, 9), (1, 6), (22, 10), (4, 13), (32, 4), (8, 8), (16, 1), (2, 19), (27, 26), (16, 30), (19, 29), (18, 27), (15, 20), (12, 18), (34, 11), (26, 34), (23, 37), (19, 22), (25, 37), (1, 7), (7, 20), (14, 29), (22, 0), (6, 13), (29, 26), (22, 15), (35, 19), (34, 13), (24, 37), (23, 32), (8, 2), (30, 28), (35, 30), (26, 0), (29, 3), (14, 16), (22, 11), (9, 15), (28, 20), (11, 7), (35, 28), (34, 9), (6, 0), (16, 9), (29, 35), (35, 11), (24, 24), (12, 22), (13, 15), (2, 1), (26, 20), (20, 3), (5, 16), (13, 35), (14, 24), (18, 33), (20, 29), (26, 10), (24, 8), (23, 35), (26, 8), (21, 28), (15, 1), (18, 18), (24, 27), (10, 20), (7, 9), (18, 6), (3, 26), (18, 8), (31, 11), (28, 19), (31, 8), (24, 18), (23, 14), (18, 17), (4, 0), (13, 13), (23, 28), (19, 23), (23, 12), (34, 36), (17, 9), (27, 35), (30, 14), (20, 20), (24, 34), (8, 31), (14, 11), (9, 13), (11, 11), (28, 34), (28, 27), (14, 14), (29, 29), (5, 19), (3, 8), (1, 21), (26, 3), (18, 10), (30, 25), (15, 4), (12, 12), (8, 16), (35, 2), (19, 15), (8, 19), (6, 36), (17, 0), (4, 21), (19, 0), (18, 13), (7, 21), (33, 12), (7, 33), (7, 16), (20, 2), (4, 23), (14, 7), (34, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 14), (5, 34), (1, 6), (17, 31), (16, 27), (21, 5), (11, 8), (13, 36), (23, 7), (24, 17), (5, 32), (17, 8), (14, 3), (21, 34), (24, 16), (21, 3), (30, 31), (4, 12), (16, 13), (11, 19), (30, 16), (16, 25), (7, 1), (13, 7), (12, 33), (27, 10), (7, 7), (8, 27), (15, 27), (4, 20), (26, 12), (18, 18), (3, 5), (2, 20), (29, 10), (29, 5), (11, 1), (13, 15), (17, 26), (30, 1), (18, 35), (28, 13), (27, 5), (20, 3), (27, 20), (9, 23), (18, 13), (23, 28), (26, 14), (13, 33), (8, 23), (12, 37), (6, 30), (9, 33), (30, 8), (3, 19), (1, 17), (12, 19), (8, 30), (16, 29), (7, 10), (5, 3), (27, 1), (8, 26), (28, 8), (25, 23), (16, 0), (16, 11), (10, 24), (29, 29), (7, 28), (11, 2), (17, 19), (2, 4), (15, 17), (24, 28), (16, 32), (18, 22), (15, 24), (21, 14), (18, 37), (4, 31), (5, 28), (8, 15), (22, 20), (10, 21), (15, 29), (10, 9), (10, 16), (11, 36), (26, 35), (30, 30), (9, 13), (4, 5), (30, 36), (27, 36), (13, 0), (7, 17), (15, 30), (30, 25), (15, 32), (8, 8), (0, 3), (10, 18), (0, 19), (28, 26), (8, 17), (29, 36), (4, 37), (2, 24), (11, 9), (10, 13), (2, 5), (30, 28), (19, 32), (24, 11), (18, 2), (22, 29), (28, 7), (2, 15), (9, 29), (9, 27), (13, 4), (25, 28), (25, 11), (17, 1), (24, 3), (29, 1), (16, 1), (7, 18), (26, 20), (27, 0), (7, 8), (27, 24), (16, 15), (19, 12), (17, 9), (10, 8), (7, 24), (22, 2), (10, 0), (15, 20), (24, 6), (4, 11), (6, 24), (4, 8), (27, 32), (9, 14), (17, 29), (8, 28), (29, 24), (15, 21), (14, 8), (9, 11), (12, 6), (24, 19), (3, 12), (30, 10), (25, 33), (6, 27), (17, 32), (2, 6), (19, 23), (27, 6), (10, 12), (0, 17), (5, 31), (27, 22), (25, 24), (24, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 39x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (37, 19), (12, 12), (0, 11), (10, 7), (30, 29), (36, 9), (26, 8), (19, 8), (24, 9), (26, 15), (25, 21), (27, 0), (7, 2), (6, 21), (36, 26), (25, 5), (21, 16), (20, 19), (26, 11), (23, 24), (2, 20), (12, 24), (23, 23), (2, 11), (18, 1), (9, 15), (24, 4), (6, 15), (38, 31), (10, 5), (5, 10), (24, 8), (21, 14), (7, 27), (11, 0), (1, 27), (1, 23), (27, 11), (5, 1), (28, 30), (27, 20), (5, 9), (18, 26), (27, 29), (11, 24), (12, 20), (13, 10), (11, 30), (24, 26), (17, 6), (18, 0), (16, 1), (8, 24), (15, 32), (7, 8), (19, 9), (28, 22), (37, 29), (8, 0), (30, 3), (5, 13), (1, 7), (22, 13), (12, 8), (25, 16), (5, 5), (26, 28), (37, 18), (7, 30), (19, 0), (11, 21), (2, 12), (16, 21), (11, 20), (6, 6), (34, 17), (4, 9), (23, 8), (22, 18), (1, 9), (30, 23), (4, 31), (5, 4), (33, 5), (20, 4), (0, 24), (35, 31), (21, 23), (9, 31), (32, 30), (26, 5), (7, 29), (30, 11), (28, 27), (19, 14), (13, 18), (0, 15), (8, 15), (8, 23), (30, 31), (16, 18), (14, 21), (0, 19), (22, 6), (0, 5), (29, 4), (32, 10), (21, 26), (32, 0), (10, 11), (13, 13), (26, 18), (21, 12), (0, 8), (12, 29), (7, 16), (25, 14), (9, 8), (17, 29), (23, 29), (16, 28), (10, 0), (19, 1), (35, 9), (26, 10), (24, 28), (25, 11), (10, 10), (3, 19), (24, 31), (5, 2), (14, 12), (36, 17), (31, 9), (19, 22), (21, 15), (23, 27), (29, 23), (25, 25), (25, 8), (22, 22), (32, 7), (12, 15), (8, 9), (23, 10), (11, 12), (28, 15), (1, 29), (23, 31), (14, 16), (32, 29), (34, 11), (15, 22), (14, 5), (7, 5), (37, 16), (5, 29), (29, 9), (9, 17), (0, 31), (19, 19), (5, 19), (13, 15), (23, 1), (8, 10), (38, 24), (2, 26), (10, 32), (37, 4), (6, 0), (12, 9), (22, 29), (24, 13), (32, 8), (21, 27), (14, 7), (27, 23), (21, 0), (13, 25), (22, 17), (7, 19), (25, 3), (1, 5), (31, 31), (19, 3), (29, 22), (12, 6), (18, 8), (1, 16), (31, 13), (33, 24), (0, 3), (29, 10), (34, 20), (19, 6), (14, 8), (38, 6), (37, 6), (2, 7), (0, 13), (27, 5), (36, 14), (24, 18), (19, 30), (7, 1), (17, 1), (7, 20), (15, 6), (14, 4), (23, 25), (21, 2), (30, 15), (12, 28), (35, 24), (24, 5), (0, 7), (33, 14), (7, 22), (27, 14), (37, 21), (11, 25), (32, 31), (20, 11), (10, 1), (35, 27), (28, 6), (15, 21), (26, 9), (0, 2), (12, 2), (21, 1), (24, 25), (29, 13), (15, 10), (33, 20), (31, 24), (4, 30), (38, 27), (7, 31), (32, 28), (30, 13), (17, 25), (8, 17), (16, 9), (9, 1), (9, 6), (34, 32), (0, 22), (9, 19), (7, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (35, 9), (6, 38), (7, 14), (8, 23), (9, 37), (22, 3), (10, 12), (10, 31), (18, 24), (12, 31), (18, 30), (28, 0), (7, 8), (13, 2), (17, 4), (25, 3), (21, 36), (16, 16), (14, 1), (23, 2), (15, 6), (2, 29), (19, 16), (10, 22), (33, 26), (4, 13), (18, 15), (14, 0), (12, 33), (14, 11), (18, 34), (4, 33), (35, 33), (29, 27), (1, 17), (14, 37), (16, 33), (15, 17), (34, 8), (5, 33), (14, 26), (18, 21), (27, 20), (34, 27), (0, 8), (5, 30), (30, 25), (31, 37), (30, 38), (9, 10), (5, 38), (15, 21), (27, 27), (13, 23), (35, 16), (7, 36), (6, 23), (24, 35), (25, 16), (19, 35), (7, 20), (11, 2), (1, 27), (11, 18), (23, 8), (20, 22), (30, 0), (32, 23), (34, 33), (22, 15), (5, 1), (31, 6), (10, 23), (25, 24), (30, 17), (7, 7), (29, 25), (5, 29), (8, 0), (1, 37), (4, 0), (33, 2), (23, 10), (11, 12), (13, 25), (29, 20), (26, 18), (2, 4), (16, 18), (17, 19), (28, 31), (16, 27), (27, 23), (27, 29), (22, 10), (15, 30), (29, 0), (10, 37), (19, 27), (4, 1), (25, 35), (16, 4), (11, 7), (1, 33), (29, 36), (19, 38), (8, 7), (23, 3), (34, 31), (34, 36), (29, 9), (17, 6), (35, 17), (19, 34), (10, 27), (16, 14), (8, 13), (9, 2), (35, 14), (18, 2), (17, 22), (26, 23), (11, 28), (10, 38), (35, 13), (3, 17), (34, 7), (15, 31), (20, 2), (30, 21), (31, 1), (18, 9), (21, 5), (22, 37), (23, 30), (20, 34), (7, 11), (34, 32), (21, 16), (2, 14), (31, 24), (27, 26), (11, 14), (11, 4), (24, 36), (7, 22), (4, 26), (24, 3), (1, 6), (25, 31), (27, 38), (33, 32), (21, 3), (0, 17), (14, 17), (18, 6), (21, 26), (23, 15), (4, 8), (5, 4), (18, 27), (32, 21), (16, 25), (32, 36), (26, 27), (3, 1), (23, 34), (26, 13), (7, 15), (21, 31), (12, 16), (19, 17), (19, 31), (28, 3), (12, 3), (30, 34), (35, 32), (16, 23), (12, 9), (15, 37), (32, 18), (29, 11), (0, 24), (35, 18), (6, 3), (4, 22), (22, 5), (2, 3), (2, 32), (14, 9), (7, 37), (6, 19), (27, 0), (7, 32), (0, 33), (3, 10), (26, 34), (2, 1), (28, 35), (16, 24), (17, 3), (10, 7), (29, 5), (6, 28), (27, 10), (16, 36), (21, 20), (24, 20), (30, 36), (1, 9), (12, 5), (17, 27), (3, 21), (35, 2), (20, 6), (31, 27), (1, 11), (7, 35), (32, 2), (2, 24), (8, 31), (25, 7), (23, 0), (22, 20), (35, 26), (2, 33), (10, 18), (18, 5), (28, 7), (25, 6), (0, 29), (17, 32), (13, 5), (30, 2), (9, 23), (2, 36), (35, 1), (33, 16), (34, 24), (12, 14), (22, 19), (0, 26), (7, 33), (13, 9), (26, 9), (5, 26), (30, 35), (11, 26), (15, 32), (1, 18), (22, 33), (19, 7), (15, 33), (9, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 30), (19, 5), (23, 0), (17, 14), (10, 8), (7, 30), (20, 25), (10, 30), (7, 13), (23, 28), (18, 16), (5, 26), (13, 18), (17, 6), (27, 0), (20, 26), (23, 8), (25, 13), (5, 20), (1, 27), (11, 14), (21, 12), (22, 2), (4, 19), (12, 15), (13, 6), (18, 29), (29, 22), (8, 3), (15, 2), (19, 25), (10, 29), (0, 14), (0, 19), (17, 12), (16, 1), (6, 28), (13, 15), (27, 29), (29, 16), (14, 21), (18, 8), (27, 6), (17, 2), (8, 23), (25, 1), (2, 8), (24, 4), (14, 2), (21, 9), (24, 26), (22, 4), (16, 29), (1, 0), (23, 7), (1, 12), (0, 25), (6, 2), (10, 0), (28, 27), (9, 7), (15, 15), (15, 13), (29, 8), (29, 4), (28, 2), (3, 21), (7, 3), (1, 23), (5, 22), (13, 20), (1, 24), (6, 4), (18, 14), (28, 23), (3, 27), (0, 2), (15, 5), (7, 23), (21, 3), (27, 18), (14, 19), (23, 5), (21, 24), (16, 23), (1, 26), (7, 15), (14, 29), (21, 2), (29, 26), (15, 17), (9, 24), (20, 1), (19, 27), (25, 28), (0, 15), (26, 20), (11, 0), (2, 13), (1, 28), (12, 28), (15, 4), (27, 15), (17, 25), (16, 27), (12, 13), (5, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 23), (28, 25), (27, 18), (0, 3), (17, 31), (21, 25), (20, 31), (3, 33), (30, 7), (29, 28), (4, 11), (4, 20), (3, 31), (14, 27), (3, 26), (19, 36), (30, 26), (18, 27), (0, 14), (13, 31), (11, 25), (8, 22), (5, 5), (3, 7), (15, 27), (4, 13), (29, 18), (16, 16), (0, 15), (18, 0), (30, 3), (2, 12), (29, 21), (23, 16), (18, 31), (17, 21), (9, 36), (29, 14), (16, 35), (20, 6), (16, 1), (16, 6), (21, 19), (9, 20), (26, 17), (18, 15), (11, 22), (7, 15), (3, 1), (15, 14), (10, 18), (25, 15), (6, 30), (18, 28), (5, 14), (24, 30), (5, 30), (12, 14), (10, 32), (28, 5), (14, 25), (24, 22), (27, 1), (19, 17), (0, 34), (5, 11), (30, 24), (17, 36), (9, 0), (3, 32), (23, 14), (1, 37), (8, 27), (21, 17), (9, 12), (26, 1), (16, 13), (17, 2), (30, 30), (27, 33), (15, 26), (0, 29), (16, 23), (30, 13), (26, 37), (1, 16), (8, 11), (26, 15), (15, 2), (20, 18), (4, 19), (17, 4), (15, 6), (4, 4), (29, 15), (28, 31), (21, 12), (13, 23), (23, 28), (21, 5), (14, 5), (18, 5), (3, 10), (29, 6), (2, 19), (0, 27), (14, 4), (8, 15), (19, 25), (18, 21), (8, 23), (11, 37), (10, 26), (25, 0), (17, 13), (5, 12), (14, 36), (22, 0), (15, 37), (22, 7), (29, 23), (16, 8), (23, 21), (15, 9), (6, 0), (19, 9), (10, 37), (4, 22), (29, 26), (26, 22), (6, 5), (8, 36), (14, 13), (0, 36), (0, 24), (11, 20), (23, 13), (0, 37), (13, 35), (9, 22), (7, 24), (5, 28), (17, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 1), (32, 0), (10, 17), (26, 22), (17, 3), (27, 30), (30, 14), (5, 19), (32, 13), (20, 26), (10, 2), (29, 17), (18, 16), (23, 10), (14, 21), (31, 21), (30, 11), (9, 12), (19, 20), (8, 11), (8, 21), (33, 29), (12, 12), (22, 7), (1, 25), (31, 3), (29, 20), (31, 5), (19, 19), (25, 21), (31, 6), (26, 18), (6, 29), (30, 19), (25, 20), (24, 13), (3, 6), (14, 27), (15, 26), (1, 7), (1, 28), (9, 28), (22, 24), (13, 30), (25, 26), (28, 6), (20, 8), (31, 10), (12, 22), (14, 7), (8, 12), (4, 13), (34, 15), (20, 2), (34, 10), (13, 14), (2, 20), (19, 15), (28, 22), (32, 3), (3, 1), (4, 15), (18, 11), (5, 5), (32, 8), (34, 12), (18, 10), (17, 16), (9, 24), (25, 11), (17, 2), (27, 20), (17, 11), (6, 20), (19, 11), (16, 26), (5, 28), (30, 0), (2, 29), (22, 10), (11, 23), (10, 7), (4, 30), (14, 15), (5, 0), (1, 22), (17, 24), (31, 25), (20, 16), (13, 24), (24, 12), (14, 22), (20, 1), (16, 16), (17, 30), (19, 4), (33, 9), (4, 25), (26, 24), (7, 15), (15, 20), (33, 5), (21, 28), (9, 30), (22, 15), (19, 27), (19, 28), (27, 13), (17, 29), (4, 12), (32, 24), (11, 15), (6, 17), (5, 11), (28, 27), (23, 19), (6, 14), (18, 28), (3, 18), (0, 25), (2, 12), (11, 13), (5, 13), (2, 23), (18, 9), (10, 24), (23, 1), (10, 26), (2, 13), (22, 5), (5, 18), (6, 9), (30, 8), (19, 18), (5, 10), (21, 7), (33, 3), (0, 20), (1, 0), (18, 7), (34, 3), (16, 2), (15, 4), (24, 5), (6, 3), (3, 16), (1, 20), (13, 12), (26, 6), (33, 18), (24, 8), (28, 17), (4, 21), (27, 21), (29, 29), (15, 1), (9, 15), (29, 19), (5, 14), (18, 3), (22, 8), (7, 3), (20, 28), (16, 5), (24, 17), (8, 24), (14, 18), (7, 20), (23, 20), (17, 8), (6, 16), (33, 15), (20, 29), (22, 30), (28, 24), (28, 13), (1, 24), (15, 25), (5, 29), (31, 17), (31, 4), (7, 29), (27, 17), (16, 8), (34, 27), (4, 20), (30, 1), (13, 19), (17, 0), (21, 25), (0, 7), (9, 3), (30, 26), (2, 28), (14, 8), (12, 26), (6, 28), (28, 11), (28, 18), (21, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 30x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 20), (24, 20), (17, 14), (10, 4), (17, 7), (13, 28), (17, 9), (11, 20), (22, 26), (8, 8), (21, 16), (19, 20), (14, 26), (26, 28), (6, 10), (23, 1), (2, 36), (17, 1), (15, 10), (7, 27), (23, 12), (0, 7), (21, 22), (6, 25), (22, 36), (12, 30), (8, 24), (16, 3), (21, 18), (15, 28), (20, 30), (19, 16), (25, 0), (13, 34), (18, 21), (11, 21), (7, 35), (4, 9), (15, 20), (1, 7), (10, 28), (6, 6), (22, 6), (7, 26), (4, 6), (8, 30), (2, 22), (16, 33), (16, 7), (1, 2), (19, 30), (29, 6), (24, 11), (17, 32), (1, 17), (6, 34), (1, 14), (25, 6), (16, 23), (4, 32), (22, 22), (22, 10), (12, 23), (29, 31), (1, 23), (11, 23), (26, 30), (18, 19), (12, 1), (29, 35), (6, 20), (5, 28), (24, 34), (9, 4), (27, 12), (3, 26), (20, 7), (21, 3), (8, 14), (21, 5), (5, 36), (9, 5), (16, 24), (7, 28), (1, 8), (29, 5), (23, 9), (3, 10), (29, 25), (10, 11), (18, 8), (17, 6), (25, 27), (27, 4), (18, 31), (23, 10), (23, 8), (2, 31), (16, 5), (23, 33), (15, 15), (11, 10), (7, 22), (4, 28), (1, 15), (21, 6), (11, 1), (25, 19), (22, 13), (9, 12), (3, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 39x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 1), (34, 35), (18, 34), (26, 29), (35, 37), (3, 32), (28, 19), (38, 32), (27, 8), (18, 36), (7, 10), (36, 30), (26, 2), (31, 2), (20, 32), (10, 20), (30, 21), (21, 25), (13, 36), (2, 35), (36, 25), (17, 37), (20, 2), (27, 36), (18, 32), (3, 20), (19, 5), (19, 12), (29, 20), (30, 15), (37, 19), (12, 22), (17, 12), (6, 9), (5, 26), (37, 11), (14, 17), (34, 23), (0, 20), (36, 18), (23, 11), (32, 37), (21, 26), (26, 31), (1, 2), (25, 1), (34, 33), (31, 24), (29, 11), (21, 32), (12, 34), (20, 6), (12, 35), (0, 16), (15, 0), (1, 27), (20, 28), (7, 5), (10, 11), (29, 15), (27, 2), (20, 16), (4, 8), (35, 24), (33, 14), (33, 19), (1, 26), (17, 16), (13, 29), (20, 22), (10, 35), (32, 23), (3, 24), (26, 0), (8, 38), (3, 35), (1, 34), (10, 3), (26, 15), (36, 28), (5, 17), (18, 12), (28, 21), (8, 34), (7, 12), (1, 3), (0, 31), (11, 9), (16, 29), (27, 14), (36, 20), (18, 16), (37, 20), (30, 2), (14, 20), (14, 29), (21, 3), (32, 35), (28, 26), (22, 16), (4, 5), (4, 4), (8, 18), (20, 31), (35, 17), (35, 15), (8, 25), (4, 31), (23, 31), (14, 18), (8, 6), (15, 27), (31, 31), (23, 38), (24, 37), (32, 2), (15, 20), (13, 2), (16, 8), (19, 22), (28, 34), (38, 22), (18, 21), (10, 36), (3, 4), (31, 18), (2, 34), (36, 0), (7, 29), (23, 2), (18, 5), (0, 26), (35, 20), (34, 3), (2, 38), (22, 32), (29, 38), (12, 4), (5, 14), (13, 30), (29, 16), (17, 3), (6, 34), (3, 3), (37, 1), (11, 22), (24, 7), (24, 12), (13, 11), (1, 18), (3, 7), (26, 37), (14, 32), (31, 8), (30, 3), (14, 1), (26, 3), (11, 2), (38, 21), (34, 27), (8, 17), (3, 37), (8, 3), (21, 16), (27, 7), (31, 9), (34, 16), (24, 11), (18, 20), (35, 36), (6, 2), (1, 31), (12, 26), (10, 4), (29, 37), (9, 4), (26, 25), (14, 13), (20, 34), (38, 19), (4, 38), (16, 21), (17, 34), (13, 34), (36, 24), (0, 25), (24, 3), (33, 35), (35, 28), (12, 3), (2, 30), (18, 2), (32, 24), (28, 11), (28, 0), (20, 29), (27, 9), (19, 36), (19, 10), (12, 5), (25, 15), (3, 5), (22, 33), (16, 30), (37, 14), (1, 30), (38, 11), (16, 14), (26, 35), (30, 13), (6, 14), (24, 21), (3, 15), (6, 32), (34, 20), (19, 8), (14, 35), (32, 1), (35, 10), (31, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 36), (10, 3), (28, 0), (13, 17), (12, 7), (9, 15), (2, 17), (2, 6), (10, 31), (17, 32), (5, 4), (9, 31), (11, 37), (18, 3), (14, 6), (29, 32), (14, 9), (3, 14), (3, 35), (5, 28), (25, 18), (9, 7), (23, 36), (2, 26), (7, 28), (22, 22), (10, 13), (7, 12), (30, 17), (12, 5), (4, 30), (27, 11), (13, 36), (26, 15), (20, 10), (16, 19), (29, 7), (9, 0), (12, 36), (29, 12), (27, 9), (4, 21), (28, 19), (25, 33), (13, 24), (13, 16), (17, 36), (19, 20), (18, 0), (11, 16), (23, 12), (30, 31), (30, 18), (4, 32), (32, 8), (16, 9), (10, 16), (0, 8), (27, 1), (16, 16), (28, 28), (13, 38), (29, 35), (32, 3), (21, 10), (6, 5), (18, 11), (7, 35), (2, 12), (1, 38), (12, 34), (31, 23), (1, 23), (10, 25), (23, 10), (31, 34), (12, 32), (27, 36), (25, 8), (8, 35), (7, 10), (26, 25), (3, 23), (17, 18), (25, 31), (21, 16), (5, 5), (17, 21), (3, 12), (9, 34), (28, 5), (12, 30), (7, 8), (20, 26), (30, 0), (2, 38), (4, 16), (1, 13), (24, 38), (29, 30), (9, 38), (26, 28), (31, 9), (3, 30), (4, 22), (28, 26), (28, 29), (22, 14), (3, 21), (15, 8), (28, 31), (26, 7), (14, 1), (10, 35), (17, 27), (8, 33), (13, 35), (28, 13), (6, 19), (28, 37), (28, 2), (12, 28), (28, 36), (20, 35), (11, 14), (4, 2), (5, 19), (19, 25), (21, 4), (10, 23), (6, 14), (26, 24), (13, 5), (28, 11), (7, 5), (28, 3), (29, 36), (25, 24), (26, 30), (1, 14), (18, 30), (18, 18), (2, 35), (31, 7), (11, 2), (11, 0), (30, 27), (15, 12), (17, 22), (8, 21), (12, 26), (11, 3), (2, 21), (18, 29), (32, 10), (25, 2), (19, 33), (18, 5), (18, 6), (7, 9), (5, 31), (14, 34), (17, 30), (22, 20), (5, 10), (21, 17), (1, 2), (28, 7), (30, 1), (29, 28), (23, 20), (7, 16), (21, 13), (11, 29), (15, 29), (18, 8), (25, 32), (1, 6), (30, 33), (20, 3), (14, 32), (8, 11), (16, 24), (9, 11), (10, 36), (17, 25), (9, 27), (24, 18), (30, 9), (1, 37), (30, 23), (3, 28), (25, 38), (3, 33), (28, 22), (19, 37), (3, 13), (30, 26), (0, 32), (32, 34), (6, 11), (25, 35), (21, 1), (19, 2), (7, 7), (6, 18), (21, 37), (19, 19), (2, 9), (28, 21), (32, 23), (11, 11), (25, 1), (11, 30), (3, 1), (20, 7), (11, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 32x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 33), (11, 33), (25, 0), (17, 1), (4, 7), (12, 6), (14, 11), (9, 13), (21, 19), (16, 35), (8, 4), (1, 9), (2, 30), (14, 9), (18, 14), (28, 31), (2, 23), (24, 5), (22, 9), (23, 20), (17, 2), (9, 24), (8, 5), (7, 13), (31, 9), (29, 8), (9, 15), (7, 4), (21, 7), (12, 12), (19, 35), (10, 0), (2, 29), (0, 6), (22, 1), (27, 29), (5, 30), (24, 24), (14, 4), (11, 7), (2, 36), (15, 2), (24, 22), (26, 28), (28, 0), (31, 25), (29, 27), (21, 14), (3, 15), (18, 0), (23, 8), (1, 25), (30, 15), (31, 15), (9, 0), (26, 19), (11, 25), (20, 6), (27, 16), (21, 31), (26, 6), (11, 18), (16, 22), (2, 38), (4, 18), (23, 25), (23, 16), (0, 2), (22, 19), (24, 32), (28, 1), (5, 24), (8, 17), (30, 29), (2, 32), (11, 15), (11, 16), (2, 10), (29, 13), (21, 18), (28, 8), (30, 9), (5, 35), (31, 26), (7, 11), (26, 24), (21, 20), (24, 0), (20, 24), (27, 10), (16, 37), (1, 6), (31, 33), (6, 14), (24, 9), (9, 19), (30, 23), (21, 1), (21, 24), (15, 15), (20, 30), (24, 35), (30, 24), (31, 19), (17, 12), (31, 20), (26, 30), (22, 0), (5, 8), (2, 9), (3, 34), (27, 34), (29, 9), (24, 29), (5, 12), (12, 3), (17, 6), (26, 18), (9, 37), (10, 25), (9, 1), (2, 35), (18, 7), (24, 33), (6, 32), (14, 0), (21, 16), (8, 6), (25, 29), (6, 30), (18, 24), (11, 24), (21, 30), (13, 38), (25, 2), (10, 29), (2, 12), (29, 37), (19, 32), (29, 36), (30, 13), (12, 29), (12, 7), (6, 31), (11, 29), (30, 12), (2, 19), (10, 35), (13, 29), (24, 28), (18, 6), (2, 8), (7, 35), (13, 14), (26, 10), (0, 22), (6, 3), (13, 33), (21, 4), (4, 24), (9, 23), (7, 9), (15, 16), (11, 30), (8, 7), (19, 18), (14, 30), (9, 9), (22, 32), (16, 32), (22, 11), (10, 28), (27, 3), (22, 35), (20, 32), (4, 27), (1, 0), (31, 5), (0, 15), (16, 26), (0, 33), (10, 17), (25, 28), (13, 26), (23, 29), (6, 34), (19, 29), (19, 13), (24, 36), (18, 37), (19, 10), (7, 24), (4, 34), (18, 16), (6, 33), (10, 38), (27, 17), (3, 27), (18, 17), (20, 35), (31, 7), (24, 10), (31, 27), (26, 31), (8, 8), (23, 12), (24, 11), (27, 30), (23, 19), (22, 15), (10, 16), (9, 14), (28, 2), (5, 18), (5, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 13), (11, 16), (10, 11), (31, 34), (6, 21), (1, 6), (21, 24), (10, 7), (2, 31), (16, 19), (12, 36), (9, 6), (29, 31), (12, 27), (30, 9), (2, 36), (13, 30), (2, 28), (28, 7), (2, 34), (11, 8), (12, 25), (31, 24), (27, 2), (17, 15), (12, 29), (29, 7), (19, 6), (7, 9), (25, 8), (20, 14), (27, 1), (25, 10), (20, 19), (15, 34), (25, 0), (6, 18), (14, 2), (9, 22), (29, 30), (20, 32), (27, 34), (7, 21), (12, 10), (25, 2), (23, 12), (1, 27), (2, 21), (0, 31), (19, 10), (29, 0), (8, 14), (31, 30), (26, 9), (28, 36), (2, 12), (17, 14), (10, 6), (13, 22), (25, 34), (5, 22), (9, 5), (9, 15), (5, 7), (10, 13), (23, 32), (23, 0), (21, 29), (5, 21), (30, 1), (31, 23), (9, 35), (29, 36), (7, 15), (26, 16), (22, 6), (29, 6), (15, 22), (8, 7), (25, 6), (21, 7), (2, 3), (31, 9), (12, 6), (13, 27), (29, 12), (0, 2), (9, 11), (30, 20), (14, 35), (12, 12), (14, 15), (25, 32), (27, 14), (29, 13), (29, 1), (28, 23), (31, 26), (13, 24), (9, 8), (0, 6), (17, 30), (0, 20), (22, 22), (9, 21), (0, 35), (26, 2), (6, 34), (24, 5), (19, 32), (22, 5), (11, 22), (8, 3), (7, 34), (30, 32), (18, 8), (26, 15), (15, 20), (3, 7), (10, 30), (16, 3), (6, 22), (17, 36), (1, 10), (2, 2), (28, 20), (10, 14), (27, 30), (29, 15), (3, 5), (28, 25), (15, 18), (8, 27), (5, 8), (30, 33), (12, 17), (18, 13), (9, 10), (23, 27), (2, 6), (19, 14), (16, 15), (17, 21), (6, 17), (8, 30), (25, 20), (7, 6), (27, 24), (7, 26), (10, 19), (25, 12), (3, 21), (7, 33), (3, 29), (27, 23), (1, 35), (22, 16), (2, 25), (14, 33), (19, 36), (11, 18), (9, 9), (13, 4), (8, 6), (17, 17), (3, 11), (29, 10), (9, 3), (29, 18), (2, 9), (13, 23), (14, 12), (2, 19), (21, 19), (24, 23), (28, 13), (1, 33), (4, 23), (25, 3), (30, 24), (24, 3), (30, 17), (14, 23), (2, 20), (22, 8), (14, 32), (1, 26), (4, 8), (7, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 24), (19, 14), (24, 27), (21, 30), (30, 31), (23, 19), (6, 20), (23, 24), (33, 6), (30, 28), (14, 8), (2, 30), (26, 30), (20, 32), (27, 11), (6, 23), (19, 16), (14, 22), (23, 8), (32, 25), (16, 8), (27, 27), (22, 18), (7, 22), (12, 13), (12, 21), (33, 15), (9, 26), (13, 13), (33, 27), (18, 5), (10, 24), (11, 29), (31, 15), (6, 24), (22, 19), (9, 10), (32, 11), (3, 2), (19, 31), (14, 17), (32, 33), (12, 16), (6, 13), (17, 11), (22, 21), (18, 1), (29, 31), (24, 8), (6, 22), (1, 19), (17, 4), (5, 32), (6, 2), (26, 23), (1, 32), (30, 22), (19, 5), (33, 3), (0, 20), (12, 22), (12, 20), (32, 26), (20, 33), (23, 3), (17, 23), (4, 3), (8, 6), (32, 0), (19, 0), (9, 19), (0, 3), (9, 18), (21, 8), (16, 11), (31, 9), (31, 31), (1, 8), (33, 28), (14, 27), (21, 27), (27, 4), (26, 33), (2, 20), (17, 29), (20, 9), (9, 15), (4, 2), (24, 13), (11, 30), (13, 1), (24, 18), (28, 0), (15, 4), (30, 12), (3, 4), (23, 33), (29, 26), (31, 16), (21, 25), (31, 14), (25, 30), (21, 19), (10, 13), (22, 27), (6, 12), (9, 24), (32, 20), (2, 28), (5, 7), (6, 14), (27, 13), (11, 2), (8, 9), (22, 24), (20, 18), (12, 10), (20, 29), (19, 27), (31, 0), (14, 21), (22, 1), (29, 28), (18, 19), (16, 10), (14, 15), (19, 33), (0, 6), (32, 16), (24, 14), (17, 20), (18, 20), (2, 9), (12, 17), (24, 0), (9, 9), (8, 25), (15, 15), (12, 14), (0, 33), (3, 30), (30, 9), (26, 19), (10, 5), (5, 29), (30, 11), (27, 2), (31, 26), (29, 2), (10, 14), (23, 7), (4, 14), (7, 2), (29, 3), (6, 5), (13, 28), (9, 16), (7, 25), (22, 26), (33, 0), (6, 19), (4, 29), (29, 33), (25, 10), (32, 24), (32, 19), (11, 17), (2, 1), (29, 0), (32, 29), (32, 22), (1, 13), (18, 29), (16, 32), (12, 11), (16, 17), (10, 33), (21, 17), (21, 13), (19, 32), (3, 11), (2, 22), (1, 23), (4, 31), (27, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 22), (12, 13), (8, 26), (6, 31), (18, 14), (19, 6), (17, 7), (18, 18), (25, 17), (15, 21), (0, 17), (8, 15), (9, 20), (13, 35), (24, 24), (12, 30), (3, 7), (2, 34), (8, 8), (24, 7), (2, 25), (29, 27), (11, 5), (17, 17), (6, 24), (9, 9), (21, 16), (13, 2), (6, 7), (25, 2), (6, 0), (4, 27), (17, 28), (29, 17), (20, 36), (3, 2), (12, 6), (25, 37), (25, 6), (21, 13), (21, 38), (3, 28), (10, 21), (27, 14), (11, 23), (8, 23), (4, 28), (4, 13), (23, 38), (29, 9), (19, 18), (28, 38), (14, 4), (9, 37), (25, 25), (18, 20), (13, 19), (15, 38), (13, 6), (0, 28), (15, 11), (26, 15), (28, 20), (1, 11), (6, 34), (3, 18), (13, 23), (10, 13), (19, 20), (4, 20), (18, 17), (29, 1), (13, 7), (4, 17), (5, 26), (13, 24), (16, 14), (13, 12), (18, 35), (4, 2), (10, 37), (27, 28), (29, 23), (5, 37), (3, 19), (2, 36), (6, 36), (7, 9), (26, 28), (4, 4), (8, 4), (15, 18), (15, 15), (27, 27), (25, 4), (18, 21), (15, 4), (1, 1), (10, 38), (19, 5), (11, 36), (14, 21), (16, 17), (15, 10), (7, 5), (25, 31), (18, 6), (22, 3), (5, 12), (29, 32), (28, 33), (23, 37), (10, 8), (20, 4), (19, 38), (29, 19), (8, 17), (22, 30), (12, 4), (20, 25), (21, 5), (0, 10), (2, 38), (20, 19), (14, 0), (27, 25), (17, 21), (28, 29), (21, 0), (1, 34), (19, 29), (13, 37), (20, 38), (18, 30), (13, 27), (14, 37), (7, 21), (10, 34), (3, 25), (8, 36), (9, 2), (12, 12), (14, 6), (28, 0), (8, 18), (6, 8), (19, 23), (1, 10), (8, 0), (1, 19), (13, 36), (1, 38), (16, 37), (29, 25), (18, 26), (11, 9), (7, 1), (25, 33), (21, 27), (28, 6), (11, 0), (17, 26), (0, 3), (25, 0), (27, 35), (27, 31), (2, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 3), (1, 33), (10, 31), (4, 14), (15, 12), (3, 4), (28, 21), (20, 16), (1, 11), (22, 17), (28, 32), (24, 17), (9, 17), (14, 18), (11, 21), (33, 9), (17, 1), (34, 33), (7, 7), (4, 2), (20, 26), (23, 3), (24, 5), (1, 28), (33, 20), (11, 16), (0, 6), (8, 16), (20, 22), (20, 18), (9, 7), (16, 11), (33, 35), (13, 27), (30, 16), (19, 32), (20, 4), (32, 22), (13, 12), (32, 11), (16, 17), (7, 19), (20, 36), (24, 28), (26, 26), (11, 26), (29, 8), (1, 24), (20, 10), (7, 1), (28, 12), (29, 7), (17, 18), (17, 35), (1, 31), (2, 21), (5, 6), (30, 1), (27, 0), (5, 32), (29, 35), (34, 10), (28, 14), (13, 28), (34, 7), (12, 34), (24, 6), (14, 0), (1, 8), (28, 11), (2, 25), (4, 6), (10, 8), (17, 29), (10, 35), (29, 31), (17, 2), (13, 9), (6, 1), (16, 20), (6, 12), (33, 4), (4, 24), (34, 16), (7, 23), (14, 1), (11, 29), (27, 26), (23, 6), (25, 16), (3, 36), (23, 5), (22, 9), (0, 18), (31, 12), (23, 23), (17, 7), (24, 7), (24, 15), (13, 4), (27, 13), (28, 6), (31, 21), (3, 17), (2, 7), (8, 31), (14, 12), (30, 27), (34, 35), (12, 15), (31, 36), (33, 25), (33, 1), (31, 29), (28, 35), (2, 33), (21, 3), (6, 22), (24, 2), (1, 5), (31, 5), (8, 28), (14, 16), (14, 27), (32, 14), (10, 22), (2, 22), (25, 36), (29, 26), (25, 31), (12, 36), (19, 17), (6, 7), (30, 9), (11, 35), (26, 14), (16, 23), (6, 9), (16, 18), (18, 3), (2, 20), (11, 1), (32, 23), (3, 1), (4, 12), (8, 35), (3, 18), (25, 22), (25, 3), (31, 17), (12, 5), (22, 0), (26, 24), (23, 14), (10, 32), (24, 24), (16, 25), (10, 0), (34, 6), (15, 35), (34, 23), (21, 18), (8, 4), (28, 9), (22, 6), (3, 33), (25, 7), (22, 4), (21, 13), (0, 23), (20, 33), (35, 20), (5, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 3), (7, 8), (10, 12), (22, 10), (5, 13), (11, 17), (11, 0), (30, 10), (2, 18), (15, 8), (30, 1), (0, 25), (10, 10), (17, 8), (31, 3), (22, 3), (21, 18), (1, 7), (24, 5), (27, 7), (19, 20), (27, 26), (27, 28), (4, 17), (14, 20), (22, 11), (16, 17), (26, 24), (28, 12), (11, 29), (15, 20), (15, 3), (8, 0), (5, 17), (1, 2), (30, 12), (24, 25), (11, 1), (25, 24), (12, 16), (29, 16), (18, 17), (11, 26), (5, 21), (19, 28), (14, 26), (1, 11), (1, 15), (31, 12), (14, 13), (18, 19), (14, 9), (7, 1), (20, 24), (23, 26), (7, 5), (15, 15), (8, 3), (13, 26), (14, 17), (15, 10), (16, 10), (19, 0), (10, 4), (9, 2), (19, 1), (5, 10), (6, 8), (19, 2), (20, 23), (21, 3), (24, 6), (28, 1), (28, 13), (28, 2), (25, 21), (20, 6), (8, 28), (14, 16), (18, 11), (21, 6), (8, 19), (12, 20), (26, 8), (7, 10), (19, 25), (23, 20), (27, 14), (8, 8), (12, 24), (21, 2), (7, 20), (12, 13), (24, 10), (17, 3), (19, 5), (20, 28), (12, 1), (28, 7), (31, 14), (25, 19), (6, 20), (30, 16), (3, 7), (0, 26), (8, 14), (29, 8), (2, 2), (6, 6), (1, 0), (12, 21), (30, 6), (6, 28), (23, 24), (2, 21), (31, 10), (12, 11), (19, 11), (6, 15), (22, 21), (21, 1), (30, 19), (23, 25), (22, 19), (17, 29), (9, 24), (2, 3), (1, 24), (28, 23), (30, 21), (15, 24), (12, 2), (17, 9), (16, 27), (2, 10), (15, 19), (5, 2), (10, 1), (29, 1), (4, 5), (7, 15), (26, 20), (29, 10), (1, 29), (10, 26), (2, 11), (3, 21), (13, 7), (18, 10), (17, 19), (8, 2), (12, 29), (22, 17), (8, 13), (18, 22), (13, 3), (23, 19), (31, 9), (24, 18), (31, 11), (5, 5), (28, 11), (25, 14), (25, 3), (28, 4), (0, 21), (21, 14), (14, 29), (30, 8), (12, 12), (12, 8), (23, 27), (11, 4), (24, 26), (7, 25), (9, 17), (16, 26), (0, 4), (13, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 17), (33, 26), (33, 34), (18, 30), (24, 1), (28, 31), (36, 29), (34, 3), (0, 26), (1, 17), (7, 24), (26, 36), (22, 36), (0, 22), (15, 21), (12, 32), (10, 32), (8, 12), (19, 1), (27, 22), (27, 0), (8, 13), (32, 23), (0, 14), (9, 29), (19, 15), (29, 0), (18, 17), (35, 8), (34, 19), (12, 9), (8, 17), (23, 27), (11, 36), (19, 5), (5, 18), (21, 4), (36, 15), (4, 27), (28, 7), (17, 28), (5, 33), (3, 13), (21, 28), (28, 15), (31, 19), (28, 37), (23, 3), (11, 8), (28, 20), (31, 30), (34, 14), (18, 12), (34, 13), (31, 1), (33, 25), (7, 2), (14, 4), (30, 32), (16, 3), (28, 24), (15, 38), (21, 2), (5, 7), (15, 32), (30, 24), (20, 4), (35, 15), (10, 37), (26, 4), (3, 35), (21, 23), (1, 4), (15, 13), (15, 11), (18, 15), (13, 12), (33, 4), (0, 10), (5, 13), (5, 3), (22, 6), (7, 3), (6, 17), (34, 10), (21, 32), (35, 31), (14, 29), (35, 29), (3, 12), (18, 11), (27, 19), (11, 6), (30, 19), (12, 26), (8, 20), (31, 35), (5, 25), (20, 16), (17, 24), (16, 11), (27, 18), (21, 15), (26, 2), (31, 13), (22, 14), (34, 5), (26, 29), (2, 25), (33, 21), (24, 4), (37, 16), (23, 33), (33, 35), (22, 32), (19, 0), (28, 9), (11, 32), (23, 38), (11, 33), (21, 35), (30, 30), (37, 4), (26, 21), (34, 12), (3, 4), (8, 8), (5, 32), (14, 24), (17, 16), (32, 17), (15, 16), (5, 4), (37, 21), (14, 20), (25, 19), (16, 5), (31, 31), (14, 34), (15, 36), (22, 9), (29, 22), (5, 23), (6, 12), (13, 13), (15, 17), (19, 22), (22, 0), (27, 29), (35, 20), (7, 13), (27, 21), (2, 1), (31, 15), (30, 22), (27, 10), (33, 27), (3, 38), (5, 17), (35, 4), (18, 4), (9, 38), (24, 23), (36, 23), (1, 31), (24, 25), (16, 37), (24, 14), (12, 5), (35, 22), (20, 37), (16, 31), (7, 31), (22, 17), (8, 7), (32, 16), (25, 38), (13, 18), (0, 7), (34, 7), (13, 5), (27, 11), (32, 0), (30, 12), (1, 2), (8, 35), (37, 9), (10, 8), (24, 11), (6, 35), (30, 14), (28, 32), (4, 34), (14, 5), (13, 27), (12, 8), (17, 18), (26, 14), (31, 23), (18, 34), (15, 29), (22, 12), (17, 3), (5, 12), (23, 11), (11, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 26), (26, 5), (9, 2), (1, 4), (24, 21), (19, 6), (19, 16), (31, 21), (12, 27), (25, 0), (28, 13), (13, 6), (14, 22), (2, 13), (10, 3), (28, 7), (10, 1), (2, 20), (31, 23), (2, 16), (26, 0), (23, 2), (30, 1), (13, 18), (25, 22), (27, 22), (19, 9), (9, 10), (16, 22), (8, 9), (19, 12), (29, 14), (11, 22), (28, 4), (8, 24), (27, 8), (15, 5), (1, 21), (6, 16), (29, 21), (10, 27), (14, 3), (12, 0), (17, 1), (29, 25), (6, 12), (6, 2), (15, 8), (30, 26), (11, 19), (20, 15), (11, 9), (30, 14), (19, 20), (20, 24), (12, 15), (18, 23), (16, 9), (30, 25), (15, 16), (6, 28), (16, 20), (0, 29), (15, 3), (23, 17), (20, 9), (31, 27), (15, 26), (19, 3), (29, 8), (14, 16), (5, 2), (2, 11), (5, 17), (1, 15), (6, 13), (12, 26), (25, 6), (27, 18), (27, 13), (18, 8), (12, 21), (1, 9), (23, 26), (13, 19), (29, 0), (16, 14), (23, 28), (3, 24), (17, 29), (25, 11), (8, 12), (14, 0), (24, 13), (8, 29), (12, 4), (27, 20), (13, 20), (29, 6), (11, 7), (3, 10), (4, 23), (4, 19), (30, 2), (26, 11), (26, 10), (1, 24), (6, 18), (21, 13), (4, 0), (23, 11), (5, 28), (14, 2), (25, 27), (0, 26), (17, 10), (5, 24), (4, 13), (13, 14), (10, 19), (10, 6), (7, 15), (16, 3), (13, 28), (2, 29), (20, 18), (31, 0), (1, 8), (17, 19), (18, 2), (6, 6), (26, 28), (27, 29), (15, 27), (26, 26), (4, 10), (11, 26), (8, 21), (28, 3), (14, 4), (1, 5), (26, 3), (22, 1), (28, 0), (27, 3), (14, 19), (21, 21), (9, 28), (4, 29), (13, 0), (21, 28), (10, 14), (17, 12), (23, 14), (14, 20), (3, 1), (23, 24), (28, 15), (12, 28), (7, 16), (10, 17), (9, 22), (30, 24), (28, 19), (25, 16), (2, 21), (7, 10), (31, 4), (1, 6), (11, 2), (23, 27), (10, 4), (3, 23), (31, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 39x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 17), (18, 3), (3, 5), (16, 11), (9, 8), (6, 17), (38, 13), (21, 13), (37, 27), (7, 26), (14, 29), (32, 20), (10, 24), (2, 16), (9, 29), (18, 13), (15, 11), (34, 4), (34, 27), (35, 34), (22, 6), (7, 34), (23, 3), (27, 35), (11, 8), (0, 1), (25, 14), (10, 0), (23, 2), (23, 16), (31, 13), (38, 5), (4, 27), (23, 24), (8, 15), (0, 19), (11, 32), (21, 2), (28, 9), (7, 31), (9, 9), (24, 10), (23, 1), (20, 19), (14, 19), (6, 2), (38, 1), (11, 35), (13, 29), (23, 10), (30, 29), (37, 0), (18, 1), (7, 14), (36, 36), (3, 12), (25, 27), (21, 34), (16, 17), (37, 3), (0, 9), (24, 36), (9, 12), (3, 0), (5, 7), (10, 15), (18, 5), (13, 14), (29, 33), (17, 10), (11, 10), (34, 13), (2, 21), (10, 3), (5, 18), (16, 24), (37, 13), (30, 6), (14, 35), (11, 12), (8, 0), (38, 3), (0, 14), (33, 15), (9, 24), (27, 22), (37, 8), (36, 32), (31, 9), (12, 6), (32, 5), (3, 20), (18, 23), (38, 14), (25, 25), (36, 4), (5, 19), (14, 30), (35, 21), (36, 6), (15, 15), (35, 8), (6, 7), (1, 4), (36, 27), (28, 11), (34, 12), (26, 17), (23, 18), (22, 13), (11, 14), (33, 16), (29, 11), (38, 24), (2, 34), (22, 2), (2, 36), (15, 19), (3, 32), (30, 33), (21, 25), (16, 5), (16, 14), (32, 7), (14, 1), (8, 10), (36, 2), (28, 36), (10, 36), (27, 24), (6, 24), (28, 34), (9, 27), (10, 27), (37, 5), (33, 19), (27, 3), (19, 8), (10, 28), (1, 22), (34, 18), (13, 25), (37, 23), (23, 13), (33, 24), (11, 30), (37, 11), (36, 18), (6, 36), (6, 28), (3, 27), (1, 3), (11, 3), (11, 18), (38, 32), (6, 21), (8, 11), (12, 18), (32, 15), (28, 0), (3, 26), (4, 11), (4, 25), (34, 9), (31, 1), (28, 6), (24, 4), (7, 27), (7, 8), (23, 30), (4, 18), (10, 26), (13, 13), (6, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 33x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 22), (19, 23), (20, 25), (25, 7), (29, 20), (0, 9), (3, 30), (13, 28), (15, 10), (17, 15), (1, 24), (18, 12), (28, 9), (24, 29), (15, 23), (26, 0), (19, 14), (28, 26), (12, 7), (1, 28), (21, 23), (1, 19), (1, 29), (0, 2), (23, 4), (23, 10), (10, 20), (16, 3), (31, 29), (27, 4), (15, 6), (6, 5), (9, 2), (24, 10), (7, 20), (7, 30), (3, 13), (26, 11), (2, 1), (22, 17), (22, 16), (24, 23), (27, 18), (27, 7), (27, 27), (28, 8), (7, 0), (1, 9), (24, 25), (15, 13), (28, 1), (22, 21), (3, 12), (15, 18), (15, 19), (24, 6), (15, 29), (31, 19), (16, 27), (21, 5), (21, 13), (23, 22), (6, 22), (9, 20), (25, 3), (27, 16), (5, 12), (17, 3), (20, 19), (11, 27), (10, 1), (9, 28), (25, 1), (9, 5), (14, 10), (12, 11), (10, 16), (0, 29), (25, 16), (5, 28), (19, 30), (22, 30), (2, 23), (17, 12), (2, 11), (24, 21), (1, 11), (10, 2), (32, 22), (0, 18), (7, 29), (15, 14), (9, 29), (14, 28), (6, 25), (13, 13), (1, 22), (6, 19), (13, 0), (10, 6), (28, 25), (7, 22), (24, 28), (9, 9), (20, 24), (32, 7), (20, 4), (9, 7), (32, 28), (10, 17), (26, 19), (19, 21), (13, 5), (9, 17), (3, 28), (11, 28), (21, 14), (13, 8), (26, 21), (18, 4), (0, 11), (5, 2), (32, 17), (25, 30), (19, 9), (19, 26), (24, 3), (28, 27), (31, 11), (13, 19), (5, 22), (23, 0), (26, 23), (26, 14), (0, 13), (9, 25), (27, 19), (3, 15), (30, 19), (2, 5), (10, 23), (10, 13), (14, 2), (12, 26), (19, 1), (1, 20), (23, 27), (2, 26), (22, 14), (30, 8), (13, 23), (31, 27), (0, 6), (20, 18), (27, 14), (10, 18), (7, 18), (19, 24), (8, 28), (30, 26), (7, 17), (29, 29), (12, 18), (9, 0), (11, 20), (22, 19), (14, 3), (18, 6), (8, 8), (6, 13), (9, 15), (20, 29), (17, 11), (26, 8), (14, 8), (8, 18), (13, 25), (23, 6), (12, 4), (7, 1), (19, 17), (19, 2), (22, 20), (0, 24), (21, 8), (30, 10), (27, 3), (25, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 16), (13, 35), (32, 14), (4, 30), (1, 10), (0, 13), (16, 33), (25, 33), (30, 15), (23, 1), (19, 3), (17, 19), (31, 21), (27, 29), (13, 0), (32, 3), (14, 8), (14, 5), (23, 36), (22, 26), (11, 3), (22, 29), (16, 22), (21, 23), (2, 24), (16, 0), (9, 21), (6, 0), (27, 13), (18, 30), (21, 22), (31, 35), (17, 2), (3, 15), (0, 27), (27, 7), (2, 9), (34, 36), (31, 10), (12, 36), (20, 13), (6, 35), (30, 24), (29, 10), (13, 6), (9, 34), (21, 20), (31, 2), (17, 30), (31, 18), (16, 25), (33, 18), (4, 1), (14, 13), (25, 26), (33, 22), (18, 35), (16, 36), (8, 16), (23, 10), (28, 18), (15, 15), (11, 32), (24, 33), (21, 27), (13, 34), (12, 12), (29, 15), (15, 11), (32, 16), (27, 38), (30, 34), (9, 28), (17, 26), (27, 26), (18, 15), (26, 7), (11, 0), (19, 37), (33, 31), (12, 6), (17, 38), (17, 23), (11, 23), (19, 14), (11, 22), (25, 2), (33, 5), (34, 2), (8, 14), (27, 19), (0, 2), (9, 24), (35, 29), (10, 4), (18, 5), (24, 5), (33, 30), (31, 36), (7, 36), (26, 29), (13, 25), (4, 29), (2, 14), (8, 35), (8, 11), (33, 23), (35, 21), (28, 17), (29, 38), (16, 18), (14, 12), (3, 28), (30, 29), (13, 29), (1, 12), (14, 21), (26, 11), (3, 33), (3, 23), (7, 3), (5, 25), (29, 30), (16, 20), (30, 1), (0, 5), (34, 35), (23, 5), (24, 25), (3, 21), (8, 0), (35, 13), (18, 29), (24, 14), (26, 15), (5, 37), (28, 22), (14, 9), (11, 35), (7, 12), (15, 0), (2, 5), (35, 14), (30, 33), (26, 30), (25, 38), (8, 10), (6, 27), (22, 12), (6, 33), (18, 9), (19, 15), (15, 6), (4, 5), (23, 9), (30, 19), (33, 37), (5, 7), (11, 15), (14, 19), (8, 18), (33, 35), (23, 8), (29, 29), (3, 37), (19, 4), (30, 31), (24, 9), (21, 36), (9, 4), (32, 34), (28, 1), (34, 4), (4, 3), (27, 4), (30, 38), (22, 23), (24, 28), (2, 18), (7, 13), (7, 0), (33, 11), (2, 37), (17, 35), (28, 19), (32, 38), (1, 34), (26, 13), (32, 0), (2, 16), (34, 13), (16, 10), (18, 4), (35, 10), (4, 14), (13, 14), (26, 27), (24, 6), (10, 8), (30, 3), (29, 14), (10, 34), (15, 12), (32, 32), (11, 24), (5, 23), (32, 17), (10, 33), (0, 37), (29, 23), (29, 7), (22, 33), (12, 13), (0, 19), (1, 16), (4, 13), (17, 28), (0, 17), (15, 9), (23, 37), (4, 20), (5, 38), (35, 11), (27, 30), (34, 10), (0, 3), (14, 0), (25, 5), (21, 11), (25, 6), (20, 16), (27, 12), (23, 19), (19, 6), (29, 20), (13, 22), (26, 12), (22, 4), (9, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 10), (26, 22), (15, 10), (9, 31), (22, 14), (3, 1), (13, 18), (21, 10), (14, 22), (1, 17), (4, 25), (14, 3), (28, 0), (0, 24), (7, 14), (21, 2), (8, 18), (24, 20), (9, 14), (14, 13), (19, 31), (6, 16), (4, 19), (28, 5), (23, 16), (2, 23), (3, 12), (30, 19), (5, 10), (1, 8), (7, 12), (17, 8), (14, 29), (22, 0), (3, 19), (12, 26), (14, 24), (1, 13), (4, 11), (18, 26), (26, 7), (28, 28), (19, 9), (5, 8), (20, 13), (12, 29), (9, 4), (18, 2), (27, 13), (0, 1), (12, 17), (15, 20), (17, 10), (23, 1), (17, 18), (23, 10), (3, 22), (11, 14), (18, 11), (11, 5), (4, 3), (3, 24), (23, 25), (7, 15), (6, 17), (10, 30), (0, 25), (5, 18), (26, 30), (22, 19), (27, 28), (14, 20), (28, 8), (27, 16), (6, 25), (30, 22), (0, 6), (10, 5), (22, 30), (1, 16), (11, 0), (21, 20), (17, 2), (14, 4), (6, 0), (2, 0), (12, 2), (29, 17), (25, 27), (8, 15), (26, 4), (12, 30), (7, 17), (15, 3), (5, 29), (17, 26), (4, 1), (0, 12), (22, 20), (30, 29), (14, 0), (20, 0), (26, 2), (28, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 11), (17, 18), (0, 25), (11, 17), (28, 22), (7, 17), (22, 4), (10, 16), (26, 14), (12, 11), (13, 33), (15, 27), (21, 23), (36, 31), (11, 14), (16, 8), (17, 12), (28, 7), (10, 3), (1, 8), (6, 4), (0, 26), (27, 3), (28, 17), (6, 28), (37, 24), (31, 24), (11, 35), (18, 5), (26, 9), (21, 20), (33, 19), (16, 31), (13, 12), (1, 32), (0, 19), (18, 19), (26, 26), (17, 1), (6, 24), (5, 13), (28, 27), (34, 21), (5, 12), (23, 2), (36, 28), (5, 32), (32, 21), (21, 35), (28, 0), (36, 13), (26, 20), (28, 20), (31, 17), (21, 16), (13, 19), (30, 14), (9, 4), (34, 5), (13, 27), (34, 11), (12, 13), (37, 19), (8, 24), (14, 23), (10, 36), (37, 6), (20, 14), (22, 28), (15, 35), (17, 10), (30, 2), (23, 23), (31, 5), (26, 28), (20, 9), (18, 9), (32, 9), (37, 17), (14, 13), (36, 36), (32, 8), (2, 8), (25, 9), (23, 14), (35, 2), (14, 2), (23, 28), (2, 13), (26, 4), (34, 9), (9, 32), (29, 9), (31, 28), (36, 11), (7, 36), (31, 2), (33, 28), (17, 31), (9, 35), (37, 35), (4, 23), (8, 4), (25, 13), (19, 37), (19, 24), (14, 3), (18, 8), (23, 19), (4, 17), (29, 21), (12, 35), (21, 2), (1, 0), (1, 14), (26, 6), (36, 20), (11, 27), (25, 6), (27, 11), (0, 9), (6, 13), (16, 28), (22, 16), (32, 28), (32, 1), (27, 0), (10, 1), (20, 18), (14, 24), (26, 34), (28, 10), (28, 26), (33, 33), (33, 3), (37, 23), (24, 15), (4, 11), (29, 8), (15, 8), (29, 13), (3, 15), (1, 1), (16, 15), (14, 10), (7, 34), (8, 2), (3, 13), (18, 25), (3, 8), (35, 23), (36, 2), (3, 7), (15, 15), (9, 27), (19, 33), (14, 9), (13, 10), (13, 20), (11, 29), (2, 9), (6, 15), (30, 9), (27, 35), (13, 35), (7, 20), (16, 36), (36, 25), (1, 9), (1, 5), (30, 6), (8, 23), (36, 29), (22, 21), (8, 0), (22, 24), (34, 34), (25, 30), (13, 37), (18, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 31), (24, 32), (18, 4), (9, 10), (37, 23), (12, 0), (12, 9), (13, 25), (21, 5), (25, 26), (4, 29), (9, 31), (1, 0), (19, 29), (31, 4), (20, 14), (2, 9), (30, 33), (2, 32), (7, 36), (21, 24), (19, 4), (2, 17), (3, 28), (34, 31), (3, 30), (15, 6), (17, 18), (32, 25), (21, 0), (17, 11), (6, 36), (17, 28), (18, 34), (27, 1), (16, 4), (22, 16), (33, 12), (10, 31), (30, 17), (23, 7), (21, 7), (13, 34), (7, 26), (34, 29), (30, 20), (9, 3), (34, 3), (11, 23), (15, 22), (27, 21), (34, 18), (14, 33), (17, 17), (37, 21), (26, 0), (5, 6), (31, 1), (9, 5), (2, 22), (30, 13), (1, 17), (8, 24), (37, 3), (18, 3), (17, 23), (27, 23), (15, 17), (36, 4), (15, 10), (34, 4), (16, 11), (23, 26), (14, 4), (17, 4), (15, 23), (16, 25), (18, 13), (17, 30), (7, 7), (30, 31), (9, 25), (22, 27), (34, 9), (36, 18), (24, 33), (35, 10), (6, 23), (20, 31), (9, 16), (29, 14), (20, 35), (6, 16), (4, 32), (9, 11), (5, 4), (18, 7), (5, 13), (35, 11), (4, 26), (26, 4), (10, 10), (27, 16), (20, 23), (23, 36), (31, 5), (22, 33), (24, 1), (18, 14), (18, 15), (14, 0), (28, 11), (0, 13), (26, 6), (33, 1), (26, 15), (23, 32), (2, 18), (5, 26), (35, 14), (22, 12), (34, 28), (6, 18), (22, 0), (28, 5), (10, 1), (34, 13), (1, 11), (10, 16), (13, 8), (25, 31), (35, 19), (12, 33), (21, 2), (23, 6), (15, 30), (0, 4), (21, 11), (7, 5), (32, 10), (3, 31), (11, 27), (3, 19), (20, 16), (2, 33), (9, 33), (12, 6), (4, 18), (35, 34), (35, 30), (8, 4), (14, 29), (36, 13), (6, 17), (24, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 4), (13, 28), (22, 2), (6, 7), (3, 14), (26, 29), (10, 8), (16, 29), (1, 23), (11, 16), (18, 23), (12, 30), (16, 16), (0, 23), (21, 16), (21, 21), (30, 18), (27, 25), (9, 19), (5, 11), (4, 1), (29, 27), (8, 17), (18, 22), (29, 26), (31, 29), (29, 28), (24, 0), (27, 14), (30, 19), (5, 25), (0, 9), (10, 25), (20, 23), (12, 7), (26, 14), (29, 12), (13, 18), (12, 28), (16, 9), (18, 0), (19, 30), (24, 11), (8, 0), (15, 27), (31, 6), (6, 30), (28, 7), (11, 26), (24, 10), (18, 30), (25, 23), (10, 12), (18, 5), (29, 21), (12, 26), (17, 22), (27, 9), (2, 1), (32, 7), (16, 20), (10, 0), (6, 22), (14, 8), (5, 26), (31, 5), (25, 2), (27, 8), (5, 18), (11, 27), (17, 12), (24, 5), (20, 30), (32, 5), (4, 26), (20, 22), (16, 1), (11, 12), (31, 17), (21, 18), (32, 19), (11, 15), (25, 20), (22, 18), (15, 0), (12, 16), (19, 19), (15, 22), (28, 25), (12, 22), (10, 23), (29, 25), (29, 10), (30, 24), (17, 24), (31, 19), (17, 29), (13, 27), (32, 21), (2, 0), (18, 18), (20, 13), (8, 6), (15, 29), (32, 8), (8, 11), (10, 11), (16, 23), (1, 1), (9, 1), (11, 8), (26, 5), (11, 19), (27, 10), (4, 6), (26, 30), (28, 13), (16, 10), (7, 24), (28, 20), (27, 6), (14, 15), (12, 8), (15, 10), (30, 4), (17, 15), (3, 10), (22, 17), (24, 28), (32, 23), (0, 19), (11, 1), (7, 5), (25, 28), (0, 12), (12, 1), (2, 8), (25, 8), (9, 7), (20, 19), (21, 30), (13, 10), (3, 6), (29, 16), (20, 25), (8, 8), (19, 16), (16, 3), (31, 4), (11, 22), (26, 15), (30, 27), (1, 24), (25, 1), (32, 3), (27, 16), (5, 3), (27, 18), (8, 12), (20, 20), (11, 4), (31, 24), (31, 13), (8, 16), (19, 4), (28, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 16), (19, 32), (0, 26), (24, 23), (19, 28), (31, 17), (15, 14), (21, 25), (14, 6), (13, 13), (1, 32), (36, 15), (0, 9), (23, 5), (6, 29), (22, 8), (20, 3), (32, 26), (33, 8), (17, 4), (9, 23), (4, 10), (8, 20), (29, 3), (1, 3), (11, 16), (15, 13), (24, 30), (7, 29), (19, 16), (21, 18), (4, 18), (27, 22), (9, 12), (1, 24), (1, 26), (31, 2), (16, 30), (30, 9), (35, 14), (6, 1), (34, 8), (1, 7), (36, 4), (22, 9), (3, 15), (14, 10), (31, 10), (27, 8), (15, 8), (12, 26), (19, 31), (8, 11), (8, 31), (3, 11), (1, 28), (11, 14), (7, 10), (17, 23), (8, 32), (21, 17), (33, 11), (26, 11), (26, 7), (16, 4), (31, 31), (8, 15), (16, 29), (15, 12), (2, 6), (4, 21), (17, 32), (20, 9), (14, 29), (15, 19), (21, 11), (3, 23), (11, 32), (19, 7), (16, 16), (26, 10), (33, 10), (22, 3), (25, 27), (36, 17), (11, 13), (4, 14), (6, 28), (32, 22), (17, 29), (3, 27), (35, 16), (33, 18), (11, 9), (6, 25), (6, 0), (13, 16), (22, 12), (15, 28), (33, 6), (35, 6), (33, 28), (29, 30), (8, 10), (21, 27), (7, 19), (30, 15), (32, 8), (0, 8), (24, 14), (31, 23), (36, 29), (16, 24), (31, 3), (16, 6), (13, 21), (9, 14), (10, 7), (34, 3), (1, 0), (8, 18), (13, 19), (36, 20), (34, 32), (31, 16), (24, 27), (33, 2), (24, 19), (2, 22), (22, 26), (19, 5), (5, 18), (3, 29), (18, 16), (31, 27), (9, 19), (25, 12), (15, 4), (22, 14), (30, 4), (30, 32), (34, 29), (21, 26), (4, 17), (31, 26), (31, 14), (9, 18), (34, 25), (26, 5), (26, 15), (11, 25), (9, 4), (18, 4), (20, 27), (6, 15), (23, 13), (27, 26), (11, 23), (17, 28), (34, 16), (6, 23), (1, 29), (8, 5), (10, 10), (32, 14), (14, 13), (17, 13), (5, 22), (34, 18), (19, 9), (10, 21), (17, 20), (7, 15), (12, 29), (34, 20), (15, 32), (12, 2), (17, 2), (0, 22), (13, 15), (2, 19), (4, 7), (6, 30), (23, 28), (10, 9), (12, 10), (11, 17), (26, 1), (4, 16), (36, 24), (28, 5), (24, 28), (25, 19), (31, 21), (28, 14), (7, 0), (25, 26), (15, 5), (19, 15), (8, 16), (3, 31), (14, 7), (24, 20), (13, 10), (23, 10), (6, 5), (24, 32), (8, 6), (24, 29), (32, 27), (22, 5), (2, 16), (17, 11), (9, 2), (2, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 1), (4, 28), (25, 23), (5, 14), (2, 6), (17, 16), (10, 15), (13, 18), (23, 29), (11, 1), (25, 6), (33, 19), (24, 14), (3, 32), (26, 2), (20, 23), (20, 16), (23, 5), (22, 1), (12, 9), (11, 3), (18, 21), (16, 33), (29, 30), (1, 15), (8, 33), (18, 8), (4, 30), (20, 5), (19, 10), (7, 6), (30, 30), (24, 32), (34, 26), (30, 17), (19, 9), (3, 8), (15, 19), (20, 19), (5, 26), (8, 23), (9, 27), (29, 22), (31, 32), (27, 23), (33, 15), (2, 29), (8, 11), (19, 31), (2, 28), (17, 3), (15, 8), (23, 21), (35, 6), (26, 7), (13, 3), (15, 4), (4, 20), (25, 32), (30, 15), (17, 20), (35, 7), (12, 19), (14, 4), (20, 7), (21, 0), (32, 23), (0, 26), (33, 30), (24, 5), (13, 24), (18, 6), (18, 30), (1, 4), (8, 12), (1, 28), (4, 4), (29, 4), (26, 21), (23, 6), (30, 12), (5, 7), (31, 13), (1, 27), (34, 15), (3, 1), (31, 21), (31, 14), (2, 16), (7, 20), (25, 16), (16, 23), (9, 17), (23, 9), (4, 2), (25, 30), (28, 2), (32, 10), (3, 24), (27, 3), (19, 27), (6, 17), (14, 6), (3, 2), (21, 19), (35, 4), (33, 9), (19, 18), (11, 0), (0, 2), (31, 20), (23, 25), (27, 19), (13, 27), (12, 20), (12, 21), (13, 13), (30, 7), (25, 17), (12, 0), (24, 11), (28, 20), (25, 31), (2, 14), (21, 14), (19, 4), (33, 4), (18, 19), (2, 9), (12, 11), (27, 14), (29, 8), (15, 15), (35, 1), (30, 32), (26, 10), (24, 26), (19, 21), (32, 7), (18, 24), (7, 3), (2, 21), (26, 5), (15, 9), (16, 22), (1, 32), (30, 2), (33, 14), (4, 3), (32, 21), (22, 31), (32, 5), (7, 31), (14, 11), (32, 22), (35, 9), (7, 25), (24, 21), (0, 18), (34, 3), (2, 5), (6, 31), (20, 20), (10, 16), (22, 0), (24, 27), (7, 19), (32, 8), (31, 24), (14, 14), (31, 5), (17, 29), (35, 8), (28, 13), (12, 5), (19, 26), (21, 28), (23, 12), (28, 18), (14, 7), (26, 14), (33, 6), (34, 6), (16, 6), (21, 18), (4, 31), (27, 13), (23, 30), (31, 7), (29, 5), (9, 33), (15, 14), (22, 20), (19, 11), (35, 21), (15, 26), (31, 16), (1, 22), (23, 17), (9, 4), (10, 18), (12, 29), (7, 10), (21, 4), (28, 1), (6, 18), (2, 30), (7, 29), (12, 24), (3, 23), (33, 26), (32, 15), (13, 8), (15, 25), (28, 21), (35, 3), (29, 13), (18, 3), (7, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 24), (16, 6), (0, 27), (11, 4), (29, 31), (2, 22), (13, 16), (31, 7), (4, 3), (26, 14), (15, 16), (20, 20), (21, 3), (20, 11), (6, 12), (29, 3), (30, 27), (26, 3), (24, 17), (15, 26), (5, 20), (9, 13), (18, 0), (18, 12), (27, 25), (22, 4), (19, 5), (2, 17), (18, 7), (8, 2), (9, 4), (21, 1), (22, 12), (31, 20), (26, 24), (13, 18), (3, 21), (0, 16), (22, 17), (31, 21), (10, 26), (21, 12), (26, 17), (25, 26), (35, 16), (1, 13), (5, 18), (36, 2), (0, 26), (23, 17), (22, 19), (28, 12), (13, 27), (23, 30), (27, 11), (29, 30), (13, 22), (31, 22), (1, 15), (24, 14), (20, 17), (13, 25), (22, 24), (6, 0), (2, 26), (29, 17), (34, 0), (16, 12), (26, 9), (36, 12), (3, 10), (9, 14), (26, 15), (20, 31), (36, 17), (5, 28), (13, 19), (17, 28), (33, 21), (1, 31), (12, 11), (16, 13), (7, 13), (2, 19), (14, 21), (9, 5), (24, 1), (26, 23), (31, 5), (15, 28), (25, 2), (37, 28), (14, 8), (19, 12), (20, 4), (17, 20), (9, 22), (36, 15), (6, 15), (4, 27), (31, 2), (14, 31), (30, 29), (3, 7), (38, 29), (37, 14), (32, 15), (28, 1), (13, 23), (3, 23), (1, 29), (1, 9), (6, 5), (36, 20), (6, 1), (21, 0), (31, 29), (21, 4), (17, 25), (16, 25), (22, 16), (24, 10), (36, 0), (29, 8), (35, 19), (4, 4), (28, 29), (33, 19), (1, 2), (11, 10), (1, 23), (0, 2), (27, 3), (2, 30), (34, 23), (9, 12), (14, 23), (8, 19), (27, 28), (13, 26), (23, 1), (16, 14), (35, 23), (9, 2), (15, 1), (30, 13), (22, 29), (12, 21), (6, 4), (1, 21), (11, 15), (16, 1), (37, 29), (6, 6), (34, 22), (2, 3), (31, 26), (28, 9), (10, 0), (35, 14), (22, 9), (4, 18), (32, 1), (2, 6), (31, 6), (11, 11), (19, 11), (26, 30), (14, 20), (12, 3), (30, 2), (13, 5), (4, 2), (1, 30), (15, 15), (15, 2), (3, 26), (4, 14), (37, 9), (6, 23), (9, 31), (24, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 4), (26, 28), (6, 19), (20, 23), (0, 10), (22, 23), (8, 22), (7, 12), (25, 21), (28, 2), (23, 8), (22, 25), (25, 27), (6, 7), (14, 1), (6, 18), (11, 27), (24, 28), (19, 15), (12, 4), (30, 22), (9, 16), (7, 4), (28, 23), (29, 9), (3, 23), (21, 21), (10, 24), (24, 26), (20, 27), (24, 3), (25, 20), (4, 11), (23, 11), (15, 23), (26, 29), (17, 4), (23, 19), (26, 18), (5, 15), (16, 21), (19, 29), (7, 9), (22, 21), (12, 13), (24, 22), (8, 3), (17, 3), (25, 23), (13, 19), (0, 5), (10, 28), (6, 15), (17, 25), (4, 10), (13, 29), (14, 5), (1, 12), (28, 28), (27, 26), (14, 7), (16, 15), (29, 10), (7, 0), (26, 1), (20, 10), (22, 14), (18, 3), (16, 2), (20, 1), (29, 12), (12, 30), (0, 24), (30, 15), (11, 1), (7, 10), (24, 12), (1, 25), (3, 20), (16, 17), (21, 1), (9, 2), (1, 2), (27, 24), (21, 10), (16, 13), (20, 3), (23, 0), (1, 27), (10, 16), (21, 5), (6, 14), (2, 1), (19, 14), (8, 17), (12, 6), (5, 13), (29, 13), (16, 19), (26, 5), (27, 16), (22, 12), (14, 2), (17, 24), (1, 4), (28, 9), (19, 13), (2, 3), (2, 16), (10, 29), (11, 4), (22, 1), (26, 8), (28, 13), (28, 15), (6, 21), (20, 6), (15, 24), (3, 13), (18, 28), (18, 25), (27, 3), (1, 15), (27, 21), (14, 10), (2, 30), (17, 6), (21, 16), (9, 26), (30, 8), (12, 0), (10, 3), (6, 30), (23, 10), (13, 7), (5, 26), (25, 13), (19, 23), (0, 26), (25, 26), (0, 21), (22, 6), (4, 14), (10, 8), (18, 27), (28, 18), (29, 8), (15, 22), (7, 30), (4, 25), (25, 11), (6, 26), (25, 22), (26, 30), (9, 25), (7, 11), (9, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 16), (20, 2), (25, 6), (4, 0), (7, 4), (11, 37), (6, 7), (33, 25), (1, 9), (33, 29), (22, 25), (11, 9), (22, 8), (14, 29), (32, 6), (24, 28), (29, 12), (33, 16), (13, 37), (21, 29), (29, 30), (5, 23), (3, 4), (14, 17), (24, 25), (28, 9), (33, 7), (26, 32), (11, 12), (30, 32), (11, 3), (15, 24), (13, 34), (28, 6), (15, 34), (14, 33), (25, 12), (12, 28), (16, 29), (9, 26), (1, 11), (1, 21), (21, 10), (15, 36), (0, 24), (19, 21), (12, 23), (33, 33), (30, 8), (18, 28), (15, 25), (28, 11), (11, 24), (22, 35), (17, 14), (4, 3), (23, 35), (22, 15), (25, 14), (15, 37), (22, 0), (4, 22), (12, 8), (16, 30), (16, 22), (0, 27), (21, 12), (30, 20), (5, 1), (0, 29), (20, 22), (5, 22), (33, 30), (28, 25), (25, 8), (29, 36), (9, 32), (29, 1), (11, 11), (12, 2), (6, 33), (5, 27), (21, 14), (25, 35), (17, 20), (20, 33), (16, 24), (6, 27), (8, 5), (16, 13), (22, 27), (27, 24), (4, 25), (11, 14), (16, 17), (13, 23), (21, 16), (0, 10), (18, 17), (14, 2), (32, 13), (20, 34), (6, 21), (29, 15), (25, 17), (26, 0), (29, 24), (13, 33), (27, 32), (7, 3), (11, 26), (33, 6), (25, 26), (25, 2), (31, 26), (22, 36), (29, 17), (8, 16), (14, 0), (32, 29), (11, 20), (3, 6), (12, 12), (11, 17), (9, 11), (18, 23), (21, 25), (16, 36), (6, 19), (4, 5), (16, 25), (11, 36), (16, 28), (0, 34), (7, 37), (2, 8), (30, 1), (8, 35), (5, 25), (4, 24), (23, 8), (18, 18), (16, 27), (14, 5), (19, 4), (16, 32), (7, 21), (13, 7), (1, 10), (1, 23), (11, 2), (18, 34), (1, 37), (1, 27), (14, 11), (24, 31), (27, 31), (25, 30), (13, 31), (2, 21), (32, 2), (15, 3), (21, 34), (26, 22), (21, 3), (10, 9), (21, 4), (2, 18), (21, 0), (1, 12), (25, 25), (14, 35), (32, 8), (7, 6), (2, 15), (31, 37), (0, 13), (21, 21), (16, 20), (9, 27), (17, 0), (16, 37), (30, 31), (11, 21), (2, 20), (21, 32), (24, 15), (27, 23), (29, 7), (15, 19), (8, 29), (33, 32), (8, 13), (7, 18), (6, 3), (10, 7), (3, 37)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 22), (17, 18), (21, 8), (1, 3), (21, 10), (29, 14), (15, 6), (5, 5), (21, 22), (15, 8), (19, 7), (21, 20), (12, 28), (10, 22), (35, 20), (5, 23), (1, 24), (18, 16), (2, 19), (20, 8), (5, 9), (11, 30), (4, 28), (9, 20), (25, 14), (12, 26), (23, 9), (22, 6), (7, 4), (18, 11), (32, 14), (28, 25), (25, 28), (1, 9), (29, 27), (9, 31), (3, 14), (27, 29), (19, 0), (4, 24), (33, 2), (34, 9), (4, 3), (15, 21), (2, 18), (6, 25), (15, 2), (7, 20), (2, 2), (20, 29), (11, 4), (31, 31), (4, 23), (29, 2), (24, 20), (12, 30), (30, 12), (6, 11), (27, 19), (5, 28), (22, 18), (26, 27), (22, 13), (22, 30), (34, 1), (35, 16), (8, 24), (26, 2), (31, 27), (25, 0), (28, 30), (32, 16), (31, 28), (8, 13), (34, 22), (1, 4), (35, 27), (21, 14), (16, 16), (30, 7), (26, 22), (0, 25), (1, 10), (12, 27), (22, 4), (8, 8), (26, 0), (3, 23), (4, 1), (7, 21), (1, 22), (21, 16), (11, 18), (34, 0), (10, 1), (0, 18), (34, 17), (7, 0), (29, 24), (25, 12), (6, 28), (27, 9), (26, 25), (32, 31), (13, 3), (29, 30), (31, 14), (28, 11), (25, 24), (14, 11), (3, 19), (27, 20), (30, 23), (29, 16), (32, 24), (24, 22), (4, 19), (9, 0), (5, 0), (27, 1), (15, 15), (7, 28), (4, 11), (17, 0), (26, 10), (19, 21), (35, 9), (6, 6), (31, 5), (13, 29), (33, 17), (24, 0), (22, 16), (5, 12), (35, 4), (30, 8), (6, 0), (17, 15), (9, 18), (31, 20), (30, 11), (14, 0), (23, 28), (17, 22), (8, 29), (13, 5), (7, 1), (10, 3), (18, 13), (18, 19), (27, 31), (12, 31), (20, 24), (8, 11), (20, 3), (3, 4), (25, 9), (17, 9), (33, 24), (31, 10), (14, 8), (26, 20), (31, 1), (15, 27), (24, 24), (0, 4), (20, 28), (31, 16), (15, 14), (22, 3), (12, 25), (16, 31), (28, 10), (35, 2), (1, 15), (2, 5), (14, 24), (0, 5), (11, 11), (9, 21), (12, 9), (13, 6), (35, 18), (24, 1), (22, 9), (22, 19), (14, 26), (25, 29), (31, 24), (8, 0), (1, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 23), (27, 23), (17, 24), (29, 14), (7, 6), (25, 29), (21, 21), (30, 17), (1, 11), (31, 11), (4, 17), (16, 3), (24, 25), (4, 6), (24, 4), (4, 20), (3, 27), (21, 11), (7, 15), (6, 1), (5, 19), (21, 7), (21, 18), (0, 16), (7, 12), (29, 7), (29, 16), (31, 5), (22, 19), (21, 20), (32, 19), (32, 14), (1, 16), (3, 21), (18, 19), (2, 7), (17, 21), (17, 5), (16, 12), (6, 7), (16, 0), (12, 28), (19, 17), (7, 14), (7, 10), (19, 22), (4, 28), (19, 7), (27, 13), (4, 5), (31, 13), (20, 16), (27, 29), (27, 27), (6, 29), (31, 23), (32, 9), (16, 1), (27, 6), (27, 12), (17, 25), (17, 10), (1, 13), (22, 3), (10, 4), (28, 17), (22, 17), (22, 5), (21, 27), (5, 15), (11, 28), (14, 19), (12, 18), (16, 17), (16, 27), (18, 22), (17, 14), (21, 12), (0, 2), (25, 7), (24, 15), (10, 16), (28, 5), (20, 28), (20, 22), (18, 20), (3, 8), (2, 17), (25, 4), (26, 11), (19, 3), (12, 29), (28, 19), (1, 3), (10, 8), (6, 27), (17, 26), (7, 2), (20, 21), (30, 15), (18, 11), (15, 24), (11, 0), (19, 8), (19, 0), (32, 20), (23, 6), (13, 19), (11, 11), (10, 6), (2, 0), (21, 3), (8, 14), (9, 4), (15, 27), (1, 26), (28, 24), (0, 5), (32, 21), (7, 13), (29, 8), (28, 2), (0, 28), (28, 7), (8, 19), (30, 7), (21, 15), (9, 9), (21, 2), (29, 11), (10, 24), (17, 17), (9, 10), (31, 12), (11, 16), (27, 17), (22, 13), (17, 27), (16, 10), (22, 12), (16, 14), (25, 27), (10, 3), (18, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 37x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 9), (33, 8), (16, 13), (15, 5), (9, 9), (24, 33), (22, 2), (28, 3), (25, 14), (8, 25), (18, 12), (31, 32), (21, 15), (11, 4), (10, 8), (10, 19), (30, 31), (2, 30), (3, 1), (6, 25), (23, 31), (27, 16), (6, 8), (11, 6), (4, 24), (0, 27), (24, 14), (31, 5), (35, 30), (7, 24), (30, 13), (30, 0), (16, 3), (12, 32), (0, 26), (25, 33), (4, 19), (32, 32), (35, 15), (30, 1), (24, 16), (4, 32), (34, 21), (20, 24), (10, 17), (15, 10), (0, 2), (16, 14), (20, 11), (18, 20), (3, 9), (33, 14), (3, 31), (27, 7), (17, 8), (23, 28), (28, 9), (21, 11), (9, 17), (22, 21), (30, 30), (7, 15), (33, 13), (36, 29), (0, 33), (24, 2), (12, 27), (20, 19), (18, 8), (36, 19), (1, 26), (4, 4), (16, 32), (34, 27), (27, 11), (12, 5), (8, 29), (36, 30), (19, 20), (26, 24), (20, 28), (34, 13), (26, 18), (2, 11), (12, 17), (16, 22), (34, 20), (2, 15), (2, 17), (18, 6), (17, 12), (23, 5), (8, 6), (10, 29), (13, 19), (19, 7), (28, 12), (12, 18), (23, 17), (22, 26), (0, 10), (12, 4), (21, 31), (9, 5), (1, 0), (20, 3), (12, 25), (30, 29), (4, 33), (5, 30), (13, 0), (29, 28), (17, 32), (19, 26), (19, 17), (6, 13), (24, 13), (21, 20), (7, 10), (7, 11), (6, 11), (12, 3), (2, 3), (32, 8), (26, 29), (6, 9), (3, 30), (24, 22), (8, 28), (0, 24), (15, 28), (0, 18), (22, 32), (22, 22), (13, 30), (29, 6), (4, 23), (16, 5), (33, 1), (31, 1), (22, 31), (9, 15), (16, 8), (8, 24), (28, 22), (27, 29), (17, 31), (22, 6), (30, 24), (35, 7), (25, 28), (25, 19), (17, 26), (5, 18), (21, 2), (18, 3), (22, 18), (18, 14), (12, 24), (19, 9), (33, 30), (13, 8), (34, 33), (27, 17), (35, 29), (14, 5), (19, 12), (3, 22), (3, 7), (19, 14), (21, 19), (5, 0), (29, 24), (1, 22), (19, 33), (11, 19), (8, 1), (18, 25), (6, 17), (27, 18), (18, 33), (28, 31), (3, 23), (25, 13), (13, 28), (25, 15), (29, 30), (16, 33), (32, 7), (21, 17), (33, 23), (13, 21), (0, 23), (26, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 32x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 36), (27, 3), (14, 27), (10, 37), (10, 24), (31, 20), (9, 35), (15, 4), (1, 22), (26, 12), (0, 4), (24, 28), (3, 6), (6, 8), (14, 24), (24, 3), (18, 36), (3, 5), (10, 0), (24, 8), (4, 34), (15, 20), (25, 26), (26, 27), (12, 2), (12, 29), (0, 16), (22, 5), (23, 31), (16, 33), (31, 32), (16, 0), (13, 24), (2, 32), (11, 22), (7, 17), (29, 0), (7, 15), (6, 22), (13, 25), (19, 15), (10, 26), (2, 20), (13, 33), (15, 37), (24, 33), (22, 12), (31, 15), (3, 19), (9, 6), (3, 27), (24, 0), (11, 29), (23, 11), (14, 37), (0, 23), (25, 21), (8, 23), (11, 30), (8, 13), (1, 29), (9, 8), (30, 29), (9, 34), (20, 13), (23, 21), (14, 0), (14, 17), (16, 26), (28, 6), (7, 28), (22, 10), (14, 35), (11, 35), (14, 3), (3, 3), (19, 34), (5, 6), (8, 15), (21, 20), (22, 8), (30, 32), (24, 18), (30, 15), (28, 21), (23, 12), (13, 22), (4, 35), (28, 3), (15, 11), (15, 3), (12, 25), (29, 36), (25, 0), (20, 37), (31, 17), (26, 31), (2, 12), (7, 8), (17, 14), (14, 7), (13, 15), (3, 28), (18, 9), (3, 16), (1, 14), (30, 6), (8, 35), (7, 19), (18, 34), (11, 24), (9, 11), (20, 1), (18, 31), (21, 24), (0, 7), (28, 16), (21, 12), (7, 7), (8, 19), (26, 17), (5, 37), (22, 30), (10, 31), (25, 17), (12, 30), (3, 4), (7, 21), (28, 36), (6, 5), (28, 37), (24, 23), (12, 17), (9, 14), (3, 25), (18, 32), (18, 26), (22, 19), (17, 5), (31, 10), (22, 16), (23, 10), (0, 28), (1, 35), (8, 21), (28, 12), (22, 9), (31, 5), (22, 15), (16, 8), (14, 26), (22, 7), (17, 27), (18, 14), (14, 32), (17, 8), (0, 14), (18, 17), (29, 8), (15, 16), (4, 4), (23, 34), (15, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 27), (30, 10), (8, 16), (4, 1), (4, 4), (16, 23), (34, 19), (33, 5), (12, 8), (25, 20), (8, 17), (31, 33), (14, 1), (9, 12), (2, 19), (33, 32), (7, 26), (2, 11), (32, 1), (2, 7), (18, 5), (4, 2), (1, 14), (11, 16), (30, 19), (12, 4), (29, 25), (1, 28), (19, 7), (12, 6), (35, 33), (2, 4), (3, 2), (9, 24), (34, 0), (10, 22), (29, 26), (6, 32), (2, 15), (3, 19), (0, 21), (21, 1), (31, 26), (7, 29), (35, 16), (27, 6), (24, 28), (28, 14), (20, 34), (20, 10), (33, 22), (19, 8), (14, 31), (31, 0), (32, 8), (6, 11), (19, 32), (31, 17), (34, 17), (13, 13), (14, 26), (17, 13), (32, 14), (7, 20), (31, 8), (9, 30), (22, 16), (20, 9), (24, 34), (13, 8), (2, 10), (33, 34), (13, 0), (4, 6), (4, 14), (26, 11), (17, 15), (35, 26), (9, 18), (29, 17), (7, 14), (3, 13), (30, 17), (14, 14), (16, 27), (3, 6), (33, 30), (21, 20), (25, 10), (28, 17), (35, 17), (26, 18), (7, 13), (2, 5), (8, 5), (17, 12), (16, 0), (20, 24), (13, 16), (14, 22), (23, 8), (12, 13), (6, 29), (16, 20), (25, 35), (26, 33), (10, 15), (16, 14), (5, 22), (28, 30), (35, 5), (23, 18), (27, 12), (22, 14), (15, 24), (10, 20), (12, 19), (10, 29), (17, 33), (11, 35), (21, 33), (24, 7), (28, 25), (15, 23), (7, 34), (15, 9), (28, 33), (25, 1), (34, 20), (19, 4), (18, 22), (29, 8), (29, 14), (15, 30), (34, 8), (29, 19), (7, 31), (8, 9), (14, 17), (17, 23), (27, 32), (15, 29), (10, 24), (12, 27), (18, 25), (31, 35), (4, 29), (32, 13), (20, 3), (23, 26), (3, 32), (1, 0), (19, 14), (20, 19), (33, 11), (4, 21), (1, 1), (21, 11), (22, 18), (35, 0), (21, 10), (1, 9), (15, 35), (8, 4), (12, 35), (3, 3), (24, 16), (2, 20), (18, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 28), (5, 9), (8, 25), (28, 8), (24, 33), (23, 1), (23, 22), (27, 16), (18, 23), (4, 8), (12, 0), (7, 13), (24, 30), (3, 26), (23, 12), (6, 33), (4, 13), (27, 12), (28, 11), (29, 25), (29, 16), (9, 24), (5, 29), (6, 17), (18, 29), (0, 6), (16, 2), (2, 2), (5, 19), (29, 20), (14, 27), (9, 9), (26, 32), (7, 9), (14, 3), (4, 23), (23, 8), (24, 22), (15, 8), (5, 3), (17, 27), (28, 14), (24, 21), (27, 17), (0, 3), (20, 6), (1, 9), (21, 18), (22, 13), (24, 17), (14, 28), (2, 11), (20, 17), (1, 22), (18, 4), (26, 26), (24, 0), (4, 3), (2, 3), (1, 8), (10, 5), (12, 23), (29, 22), (9, 30), (28, 23), (0, 14), (27, 24), (6, 7), (6, 11), (6, 5), (17, 23), (1, 24), (7, 16), (7, 12), (25, 9), (13, 5), (24, 10), (20, 2), (10, 16), (22, 15), (25, 7), (20, 11), (29, 12), (0, 31), (1, 14), (26, 18), (2, 8), (6, 10), (2, 18), (15, 3), (18, 17), (8, 31), (15, 25), (7, 23), (5, 6), (4, 30), (21, 23), (24, 9), (29, 0), (8, 32), (3, 23), (17, 20), (9, 2), (5, 13), (11, 7), (26, 6), (11, 11), (23, 0), (24, 2), (18, 13), (11, 10), (11, 28), (25, 6), (1, 3), (13, 23), (10, 11), (8, 20), (14, 19), (7, 17), (6, 28), (14, 22), (21, 32), (12, 20), (12, 17), (26, 21), (5, 20), (7, 10), (8, 3), (23, 17), (7, 3), (24, 20), (12, 8), (24, 31), (22, 18), (25, 23), (8, 8), (17, 2), (21, 6), (17, 9), (14, 33), (27, 30), (21, 0), (27, 29), (7, 32), (28, 5), (18, 32), (28, 2), (3, 16), (21, 7), (5, 32), (17, 31), (5, 5), (16, 14), (13, 8), (22, 14), (7, 2), (19, 13), (13, 15), (24, 8), (12, 7), (9, 20), (25, 28), (15, 10), (28, 15), (19, 16), (13, 6), (3, 29), (23, 18), (26, 25), (21, 33), (23, 29), (15, 16), (3, 0), (8, 18), (15, 11), (27, 27), (14, 7), (3, 2), (21, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (36, 20), (23, 34), (33, 3), (31, 9), (12, 2), (33, 5), (16, 9), (5, 8), (7, 27), (19, 4), (37, 8), (24, 2), (36, 28), (29, 31), (34, 4), (28, 24), (18, 14), (19, 14), (34, 14), (7, 12), (1, 14), (3, 17), (22, 18), (18, 4), (4, 17), (32, 1), (35, 16), (25, 1), (5, 0), (3, 38), (8, 16), (6, 33), (34, 17), (37, 29), (19, 27), (11, 28), (4, 36), (19, 6), (2, 25), (36, 19), (37, 4), (8, 1), (20, 14), (20, 0), (23, 13), (6, 9), (16, 4), (6, 11), (21, 26), (18, 18), (3, 35), (24, 11), (34, 32), (8, 36), (25, 16), (1, 11), (33, 6), (7, 1), (21, 8), (23, 12), (17, 3), (20, 5), (29, 10), (33, 0), (7, 15), (10, 32), (26, 24), (1, 30), (2, 16), (27, 18), (26, 26), (20, 26), (3, 13), (24, 37), (15, 31), (0, 31), (19, 7), (36, 14), (11, 23), (3, 33), (20, 9), (8, 31), (29, 16), (2, 9), (7, 11), (0, 33), (2, 13), (5, 16), (31, 7), (24, 14), (2, 38), (36, 2), (4, 27), (0, 15), (15, 25), (24, 28), (13, 7), (18, 20), (18, 7), (5, 29), (14, 12), (28, 35), (33, 22), (35, 13), (18, 12), (21, 19), (14, 14), (30, 19), (25, 29), (34, 31), (29, 38), (10, 18), (22, 31), (36, 13), (13, 8), (30, 25), (6, 28), (1, 35), (14, 9), (15, 4), (4, 8), (33, 25), (23, 14), (12, 18), (33, 19), (0, 24), (20, 22), (1, 24), (29, 11), (16, 33), (21, 3), (5, 18), (3, 34), (12, 12), (18, 21), (31, 30), (22, 28), (30, 30), (23, 24), (3, 10), (17, 28), (29, 6), (32, 15), (24, 6), (11, 29), (27, 33), (11, 4), (21, 34), (34, 2), (11, 21), (32, 26), (17, 6), (37, 35), (3, 28), (11, 32), (27, 22), (25, 8), (12, 37), (21, 31), (1, 28), (11, 36), (15, 24), (9, 15), (12, 11), (12, 31), (19, 11), (8, 12), (25, 33), (26, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 31), (29, 33), (6, 26), (32, 10), (30, 23), (2, 27), (0, 9), (19, 17), (5, 11), (12, 32), (17, 21), (18, 17), (5, 20), (31, 33), (8, 35), (15, 18), (14, 10), (6, 12), (17, 0), (7, 22), (25, 31), (12, 0), (31, 10), (24, 12), (30, 9), (8, 2), (6, 9), (23, 11), (14, 5), (19, 33), (7, 26), (25, 32), (9, 34), (3, 33), (19, 31), (22, 7), (21, 6), (25, 14), (24, 37), (13, 13), (25, 19), (12, 31), (15, 13), (32, 34), (32, 2), (6, 7), (31, 18), (8, 32), (3, 12), (10, 30), (27, 30), (26, 11), (19, 36), (1, 30), (32, 35), (7, 21), (28, 15), (14, 21), (1, 2), (1, 29), (22, 4), (13, 20), (11, 5), (22, 30), (20, 28), (30, 22), (3, 26), (14, 28), (32, 21), (19, 37), (13, 7), (27, 10), (22, 37), (4, 34), (9, 37), (24, 5), (20, 6), (14, 20), (8, 22), (10, 28), (31, 13), (6, 27), (7, 25), (6, 24), (26, 18), (7, 34), (8, 25), (29, 3), (9, 33), (24, 0), (27, 33), (8, 18), (4, 36), (11, 12), (30, 5), (30, 18), (4, 22), (29, 6), (20, 35), (4, 0), (19, 22), (21, 25), (0, 25), (21, 7), (8, 20), (12, 7), (13, 21), (31, 36), (0, 21), (10, 1), (21, 34), (12, 29), (18, 35), (17, 17), (17, 3), (17, 4), (24, 7), (19, 15), (28, 11), (7, 15), (14, 31), (33, 11), (2, 11), (28, 26), (7, 27), (24, 25), (21, 19), (9, 13), (12, 33), (3, 32), (18, 4), (31, 1), (20, 12), (21, 27), (16, 31), (3, 24), (17, 28), (6, 11), (9, 4), (7, 36), (0, 34), (23, 8), (7, 11), (0, 26), (24, 8), (15, 8), (4, 26), (3, 5), (1, 9), (0, 30), (5, 16), (16, 30), (20, 33), (22, 13), (26, 36), (32, 3), (27, 21), (30, 3), (7, 16), (18, 19), (7, 4), (14, 9), (28, 8), (6, 1), (15, 17), (18, 30), (23, 7), (32, 29), (12, 22), (16, 19), (15, 24), (1, 17), (9, 20), (10, 9), (18, 29), (3, 16), (10, 0), (13, 30), (10, 12), (16, 23), (33, 27), (20, 2), (15, 23), (24, 23), (7, 2), (6, 0), (13, 0), (12, 30), (8, 34), (23, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 2), (34, 7), (28, 11), (36, 15), (8, 27), (14, 13), (11, 23), (4, 12), (1, 20), (14, 28), (8, 4), (15, 12), (6, 7), (2, 13), (17, 26), (31, 18), (16, 10), (23, 27), (18, 2), (27, 16), (21, 4), (13, 25), (24, 2), (36, 20), (31, 2), (11, 24), (13, 28), (0, 9), (12, 1), (16, 28), (23, 18), (4, 15), (30, 12), (27, 17), (26, 9), (10, 26), (12, 23), (26, 2), (20, 23), (21, 20), (23, 9), (18, 10), (16, 3), (30, 29), (7, 16), (36, 11), (4, 21), (21, 24), (32, 11), (15, 17), (32, 3), (20, 7), (12, 20), (17, 9), (12, 7), (12, 9), (18, 5), (10, 0), (35, 12), (3, 25), (23, 14), (30, 6), (23, 3), (36, 16), (30, 2), (11, 27), (27, 2), (9, 18), (20, 5), (5, 21), (32, 15), (5, 7), (28, 6), (0, 13), (23, 6), (22, 2), (23, 0), (22, 12), (27, 21), (23, 23), (1, 22), (11, 28), (32, 5), (33, 16), (36, 27), (13, 12), (9, 19), (31, 7), (30, 30), (6, 8), (16, 7), (36, 24), (9, 11), (15, 23), (18, 11), (0, 8), (2, 10), (37, 23), (25, 0), (22, 21), (2, 28), (4, 17), (6, 21), (9, 16), (32, 2), (18, 20), (4, 9), (8, 18), (26, 27), (24, 7), (18, 25), (30, 17), (0, 27), (3, 0), (8, 5), (34, 5), (37, 20), (34, 16), (4, 7), (26, 22), (17, 25), (23, 30), (35, 30), (2, 3), (22, 17), (23, 15), (29, 20), (6, 14), (37, 19), (36, 13), (34, 18), (19, 3), (26, 21), (25, 1), (31, 28), (15, 22), (23, 4), (20, 2), (31, 3), (14, 2), (17, 7), (37, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 37x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 2), (32, 7), (32, 5), (29, 25), (31, 31), (17, 8), (32, 22), (22, 7), (22, 9), (8, 26), (9, 18), (23, 9), (26, 0), (2, 1), (29, 31), (18, 20), (31, 5), (16, 17), (12, 18), (33, 29), (30, 10), (23, 16), (35, 17), (25, 26), (36, 0), (0, 1), (13, 3), (22, 20), (30, 22), (19, 12), (6, 4), (22, 11), (27, 8), (17, 17), (2, 16), (34, 10), (33, 28), (12, 30), (34, 13), (34, 3), (12, 4), (18, 7), (36, 22), (27, 7), (30, 23), (21, 26), (27, 24), (0, 10), (6, 18), (8, 23), (27, 1), (24, 9), (28, 3), (0, 11), (27, 13), (23, 11), (10, 8), (4, 19), (35, 27), (25, 27), (28, 25), (9, 30), (12, 8), (8, 12), (2, 8), (5, 22), (18, 6), (11, 18), (17, 10), (29, 3), (36, 20), (2, 22), (3, 5), (5, 28), (1, 3), (6, 2), (15, 18), (16, 25), (2, 4), (35, 9), (20, 23), (10, 6), (5, 25), (27, 29), (30, 21), (25, 7), (33, 30), (36, 19), (19, 6), (27, 6), (27, 16), (20, 6), (25, 18), (10, 10), (4, 10), (21, 18), (31, 8), (36, 7), (20, 18), (31, 4), (27, 14), (33, 10), (16, 11), (7, 5), (8, 5), (5, 27), (2, 0), (13, 21), (14, 5), (29, 0), (14, 15), (10, 13), (19, 28), (1, 19), (25, 8), (0, 4), (8, 27), (8, 6), (23, 17), (22, 5), (28, 12), (0, 6), (32, 31), (29, 15), (14, 10), (28, 18), (15, 4), (19, 11), (30, 3), (16, 30), (32, 29), (2, 24), (28, 4), (11, 9), (26, 29), (21, 16), (25, 4), (8, 29), (10, 0), (14, 22), (4, 25), (17, 7), (12, 10), (25, 3), (25, 12), (20, 9), (23, 22), (21, 28), (7, 17), (7, 13), (4, 22), (28, 9), (4, 30), (29, 12), (0, 12), (19, 2), (6, 29), (32, 10), (35, 2), (25, 14), (19, 25), (10, 21), (36, 29), (17, 21), (12, 23), (4, 31), (35, 8), (31, 29), (18, 8), (1, 17), (14, 4), (31, 12), (4, 6), (5, 3), (14, 19), (24, 2), (25, 15), (24, 26), (12, 15), (16, 27), (21, 22), (18, 12), (18, 25), (27, 10), (16, 1), (13, 4), (27, 12), (8, 16), (21, 0), (23, 23), (31, 9), (1, 11), (9, 16), (12, 22), (27, 17), (11, 20), (28, 15), (2, 3), (27, 15), (7, 9), (29, 1), (1, 28), (35, 10), (29, 23), (22, 30), (23, 29), (12, 1), (29, 14), (13, 23), (8, 24), (25, 25), (16, 24), (32, 30), (5, 24), (7, 31), (6, 31), (13, 8), (25, 28), (16, 21), (21, 31), (19, 22), (32, 26), (27, 4), (18, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 20), (34, 3), (27, 21), (18, 22), (29, 20), (24, 20), (18, 28), (20, 1), (1, 2), (36, 5), (19, 15), (18, 10), (28, 1), (0, 14), (16, 24), (27, 14), (30, 10), (11, 12), (5, 11), (12, 29), (19, 8), (24, 18), (9, 9), (35, 17), (19, 21), (20, 20), (4, 15), (26, 16), (17, 4), (29, 9), (11, 22), (17, 26), (28, 25), (9, 7), (7, 27), (6, 12), (9, 16), (29, 11), (27, 0), (25, 15), (34, 24), (29, 28), (35, 14), (13, 9), (30, 13), (31, 6), (29, 25), (9, 19), (20, 12), (3, 19), (1, 1), (5, 3), (32, 8), (37, 25), (7, 12), (10, 22), (33, 4), (30, 20), (18, 20), (22, 19), (7, 21), (13, 22), (33, 20), (29, 10), (34, 16), (15, 9), (18, 27), (28, 21), (0, 15), (2, 11), (2, 6), (32, 12), (10, 4), (29, 8), (36, 20), (8, 12), (10, 21), (8, 16), (21, 20), (23, 14), (12, 30), (25, 13), (37, 21), (3, 0), (4, 1), (7, 18), (21, 27), (29, 18), (19, 0), (8, 19), (16, 17), (23, 3), (36, 2), (22, 5), (5, 23), (24, 27), (2, 2), (14, 21), (4, 21), (9, 3), (15, 7), (33, 3), (13, 11), (30, 24), (21, 7), (23, 29), (26, 3), (23, 7), (23, 8), (30, 27), (30, 29), (12, 7), (2, 19), (9, 24), (31, 9), (7, 25), (15, 28), (29, 21), (23, 2), (31, 15), (4, 16), (34, 8), (24, 23), (33, 6), (2, 4), (7, 2), (27, 10), (18, 18), (16, 30), (3, 7), (29, 27), (5, 10), (12, 16), (28, 6), (12, 26), (34, 25), (13, 12), (27, 1), (14, 11), (17, 27), (31, 25), (12, 14), (27, 9), (31, 0), (20, 27), (30, 25), (13, 16), (18, 11), (7, 8), (25, 26), (10, 29), (32, 19), (36, 25), (22, 8), (26, 23), (6, 15), (32, 14), (31, 19), (9, 12), (25, 23), (35, 5), (14, 22), (24, 2), (24, 0), (2, 5), (22, 25), (26, 9), (26, 24), (6, 24), (12, 28), (17, 13), (11, 0), (8, 2), (26, 29), (11, 7), (10, 9), (24, 10), (6, 1), (32, 2), (34, 26), (14, 0), (2, 24), (18, 1), (12, 2), (0, 25), (25, 22), (35, 2), (27, 19), (35, 21), (27, 3), (33, 28), (23, 15), (15, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 6), (30, 8), (29, 26), (2, 10), (23, 32), (19, 25), (15, 25), (9, 11), (14, 36), (14, 24), (24, 4), (15, 38), (27, 3), (10, 23), (29, 25), (24, 0), (2, 34), (21, 33), (10, 24), (30, 24), (13, 34), (0, 14), (3, 5), (11, 7), (11, 11), (22, 3), (13, 13), (15, 28), (18, 24), (21, 0), (11, 26), (20, 12), (11, 22), (18, 28), (14, 8), (8, 11), (20, 16), (9, 23), (14, 29), (26, 14), (22, 1), (11, 1), (17, 25), (14, 19), (27, 37), (10, 9), (8, 5), (2, 24), (21, 21), (19, 6), (30, 28), (8, 36), (8, 24), (16, 8), (1, 37), (9, 5), (28, 29), (2, 15), (8, 31), (3, 26), (25, 6), (26, 26), (20, 31), (25, 27), (13, 26), (27, 26), (23, 29), (25, 32), (9, 20), (21, 7), (28, 31), (2, 25), (19, 7), (22, 18), (22, 26), (4, 35), (19, 2), (6, 25), (17, 17), (12, 20), (6, 13), (6, 27), (21, 34), (29, 20), (18, 11), (2, 12), (26, 17), (9, 6), (19, 11), (20, 2), (27, 0), (7, 6), (0, 32), (5, 32), (15, 8), (12, 6), (22, 7), (6, 7), (21, 30), (17, 37), (10, 35), (30, 25), (18, 30), (24, 38), (16, 34), (16, 19), (14, 30), (4, 34), (14, 35), (20, 3), (28, 12), (27, 31), (23, 27), (24, 13), (14, 28), (24, 7), (27, 12), (26, 22), (9, 0), (2, 14), (16, 0), (27, 7), (23, 0), (12, 36), (18, 18), (10, 34), (1, 20), (0, 24), (13, 17), (25, 23), (17, 35), (25, 5), (21, 37), (7, 38), (6, 4), (23, 17), (13, 6), (17, 19), (3, 31), (21, 32), (7, 5), (16, 3), (6, 34), (10, 16), (19, 33), (21, 22), (5, 15), (16, 30), (21, 23), (16, 37), (3, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 24), (26, 10), (16, 12), (19, 15), (32, 21), (11, 34), (35, 18), (33, 2), (13, 5), (25, 36), (24, 35), (27, 25), (27, 13), (24, 15), (21, 28), (21, 4), (32, 8), (19, 35), (5, 15), (11, 11), (15, 26), (30, 11), (13, 29), (1, 18), (30, 33), (6, 11), (17, 26), (1, 33), (7, 26), (31, 36), (3, 1), (7, 13), (5, 5), (28, 0), (11, 0), (19, 5), (16, 2), (3, 24), (4, 8), (32, 22), (16, 23), (13, 27), (6, 3), (30, 24), (27, 21), (30, 36), (27, 30), (16, 16), (8, 12), (9, 21), (32, 16), (30, 9), (14, 29), (0, 25), (6, 13), (28, 14), (35, 17), (17, 34), (13, 13), (20, 14), (15, 2), (5, 19), (6, 34), (29, 26), (29, 18), (15, 6), (2, 31), (26, 5), (32, 34), (22, 29), (6, 14), (21, 7), (0, 5), (36, 35), (23, 18), (15, 18), (24, 21), (16, 3), (8, 22), (23, 23), (0, 27), (17, 15), (0, 20), (25, 28), (5, 20), (3, 0), (8, 20), (3, 20), (15, 20), (22, 2), (11, 17), (17, 25), (0, 28), (27, 4), (33, 13), (16, 26), (20, 7), (11, 33), (35, 28), (30, 2), (17, 24), (36, 33), (20, 26), (5, 18), (11, 5), (13, 34), (27, 27), (3, 3), (31, 23), (29, 33), (9, 30), (34, 26), (13, 25), (11, 23), (10, 25), (17, 35), (0, 9), (20, 20), (23, 9), (6, 2), (12, 25), (2, 2), (25, 3), (4, 14), (6, 27), (36, 25), (16, 9), (0, 16), (25, 21), (18, 27), (26, 9), (12, 22), (18, 12), (15, 16), (32, 17), (4, 19), (1, 29), (25, 32), (29, 12), (21, 26), (29, 7), (34, 29), (30, 27), (29, 8), (1, 4), (21, 24), (31, 29), (17, 23), (15, 13), (8, 7), (20, 4), (17, 36), (10, 18), (35, 12), (15, 30), (19, 26), (13, 19), (1, 15), (23, 2), (14, 26), (14, 31), (34, 21), (26, 1), (24, 25), (33, 1), (33, 5), (22, 7), (3, 12), (6, 30), (6, 1), (26, 22), (23, 26), (16, 6), (33, 15), (12, 21), (12, 15), (17, 16), (29, 32), (4, 5), (16, 29), (35, 31), (30, 13), (21, 25), (36, 28), (34, 27), (5, 24), (3, 27), (12, 30), (20, 36), (36, 3), (20, 32), (1, 27), (4, 22), (34, 12), (3, 25), (0, 21), (31, 18), (9, 26), (0, 11), (1, 26), (7, 22), (36, 11), (15, 10), (15, 29), (11, 8), (6, 17), (13, 32), (20, 25), (18, 17), (28, 23), (22, 4), (8, 9), (1, 31), (5, 17), (35, 1), (29, 21), (31, 27), (36, 5), (29, 24), (9, 17), (32, 25), (36, 6), (16, 0), (10, 35), (23, 34), (0, 26), (8, 0), (22, 27), (16, 5), (5, 27), (4, 16), (16, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 2), (21, 37), (16, 31), (13, 19), (19, 12), (28, 28), (12, 28), (15, 7), (5, 30), (26, 17), (11, 9), (12, 33), (18, 10), (8, 13), (8, 22), (23, 17), (31, 20), (23, 13), (30, 38), (25, 17), (7, 37), (10, 32), (15, 5), (11, 7), (2, 0), (9, 23), (26, 8), (29, 12), (15, 2), (28, 4), (23, 22), (29, 32), (12, 2), (29, 33), (2, 34), (5, 13), (6, 0), (1, 10), (18, 1), (30, 19), (2, 33), (5, 26), (16, 35), (17, 32), (19, 35), (4, 5), (17, 26), (8, 24), (7, 4), (4, 17), (2, 28), (17, 27), (14, 32), (9, 32), (16, 6), (3, 4), (6, 21), (7, 35), (20, 35), (3, 2), (17, 16), (17, 8), (9, 1), (26, 7), (19, 20), (5, 3), (29, 11), (19, 2), (17, 34), (17, 38), (6, 12), (31, 24), (27, 33), (29, 0), (1, 28), (27, 22), (2, 10), (31, 17), (18, 19), (14, 12), (5, 12), (30, 34), (26, 11), (12, 21), (2, 8), (4, 37), (25, 6), (20, 26), (7, 21), (4, 35), (18, 12), (4, 22), (24, 27), (25, 16), (2, 3), (11, 38), (20, 3), (23, 28), (24, 29), (18, 17), (8, 17), (3, 11), (16, 5), (27, 13), (30, 29), (6, 15), (18, 38), (27, 31), (14, 8), (31, 33), (0, 16), (27, 36), (11, 16), (13, 14), (18, 7), (8, 34), (16, 24), (31, 10), (28, 36), (11, 18), (28, 34), (1, 29), (8, 5), (27, 3), (8, 12), (24, 19), (14, 37), (19, 23), (24, 23), (8, 32), (11, 15), (6, 7), (1, 18), (11, 32), (4, 30), (22, 25), (26, 15), (2, 9), (9, 13), (3, 6), (13, 11), (1, 22), (5, 6), (1, 1), (4, 21), (21, 29), (26, 14), (4, 38), (9, 10), (23, 10), (19, 5), (16, 10), (12, 14), (26, 19), (21, 34), (23, 6), (12, 24), (26, 0), (31, 21), (2, 24), (14, 5), (3, 13), (10, 26), (16, 20), (10, 20), (5, 31), (8, 30), (16, 1), (22, 0), (12, 6), (1, 27), (20, 24), (10, 33), (27, 4), (2, 25), (17, 36), (6, 3), (26, 13), (26, 28), (3, 22), (1, 15), (17, 0), (28, 22), (9, 36), (16, 27), (8, 25), (19, 15), (12, 8), (27, 1), (0, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 2), (26, 29), (11, 6), (18, 21), (6, 31), (11, 33), (18, 6), (23, 20), (6, 13), (19, 18), (26, 8), (8, 19), (18, 12), (21, 13), (28, 10), (28, 18), (31, 31), (26, 31), (24, 23), (18, 16), (6, 21), (9, 30), (21, 31), (31, 13), (24, 19), (9, 25), (10, 32), (34, 24), (29, 26), (19, 23), (31, 2), (1, 35), (28, 0), (15, 8), (11, 25), (25, 33), (20, 36), (23, 30), (25, 32), (19, 4), (33, 32), (17, 19), (22, 27), (32, 14), (12, 13), (18, 33), (9, 3), (27, 12), (12, 18), (29, 2), (8, 33), (5, 17), (12, 21), (34, 31), (29, 29), (25, 13), (27, 1), (5, 33), (19, 34), (22, 33), (6, 24), (0, 21), (19, 31), (7, 29), (1, 7), (1, 4), (30, 20), (13, 5), (30, 32), (16, 27), (20, 34), (1, 31), (1, 33), (14, 16), (9, 8), (3, 23), (3, 29), (6, 23), (4, 4), (3, 32), (28, 11), (32, 23), (5, 12), (18, 8), (21, 36), (13, 12), (24, 16), (10, 0), (22, 12), (8, 4), (1, 12), (20, 9), (17, 36), (34, 23), (18, 19), (23, 5), (0, 16), (18, 26), (5, 29), (11, 28), (8, 6), (3, 11), (31, 8), (13, 3), (22, 21), (31, 12), (8, 36), (12, 17), (2, 33), (30, 24), (23, 34), (10, 17), (30, 33), (18, 22), (6, 22), (30, 26), (9, 10), (13, 0), (22, 29), (3, 7), (30, 18), (16, 20), (5, 31), (22, 2), (3, 18), (19, 27), (9, 16), (12, 0), (12, 25), (13, 18), (0, 23), (0, 32), (23, 10), (19, 14), (26, 4), (9, 6), (19, 11), (13, 14), (4, 23), (23, 13), (20, 8), (17, 14), (1, 27), (21, 1), (21, 14), (6, 27), (25, 19), (1, 8), (10, 1), (19, 17), (13, 33), (29, 15), (15, 16), (22, 18), (2, 23), (25, 23), (34, 19), (21, 10), (21, 23), (5, 8), (19, 12), (24, 14), (11, 8), (10, 16), (17, 8), (7, 0), (19, 10), (7, 9), (2, 0), (25, 9), (4, 8), (16, 8), (32, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 31x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 17), (14, 26), (24, 6), (0, 17), (3, 8), (29, 2), (17, 5), (9, 4), (17, 17), (30, 25), (14, 0), (11, 0), (8, 32), (0, 34), (23, 27), (21, 7), (23, 8), (10, 26), (0, 30), (9, 8), (6, 1), (28, 25), (25, 16), (9, 33), (1, 27), (21, 13), (4, 19), (2, 19), (7, 18), (5, 29), (14, 8), (21, 11), (25, 34), (7, 26), (7, 30), (27, 21), (23, 20), (2, 30), (24, 28), (26, 22), (9, 16), (21, 27), (14, 4), (19, 21), (27, 29), (5, 0), (16, 25), (22, 31), (19, 4), (4, 29), (10, 4), (30, 0), (7, 25), (2, 3), (12, 25), (28, 10), (12, 14), (20, 16), (20, 14), (5, 3), (14, 22), (28, 34), (6, 0), (12, 16), (2, 25), (28, 12), (6, 31), (25, 28), (30, 13), (1, 1), (27, 33), (26, 8), (23, 26), (10, 14), (15, 31), (18, 4), (29, 30), (13, 24), (3, 9), (1, 24), (14, 15), (8, 3), (17, 31), (1, 17), (23, 33), (4, 9), (13, 11), (17, 12), (2, 7), (12, 7), (26, 31), (5, 11), (6, 2), (2, 0), (13, 13), (12, 0), (25, 11), (25, 26), (18, 15), (5, 28), (19, 2), (28, 31), (16, 4), (21, 18), (12, 3), (11, 12), (29, 17), (22, 8), (29, 4), (11, 2), (9, 26), (18, 34), (26, 24), (3, 17), (7, 24), (0, 29), (13, 27), (23, 29), (9, 9), (21, 0), (7, 8), (13, 33), (15, 25), (23, 25), (7, 1), (9, 34), (17, 33), (10, 23), (16, 11), (30, 7), (12, 22), (7, 12), (10, 12), (18, 13), (29, 5), (30, 21), (21, 30), (2, 18), (25, 31), (1, 19), (5, 12), (23, 32), (8, 16), (21, 31), (11, 16), (25, 1), (5, 30), (30, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 0), (0, 27), (9, 29), (22, 33), (6, 38), (9, 26), (32, 9), (30, 17), (7, 2), (21, 14), (7, 32), (31, 0), (10, 34), (3, 22), (35, 33), (8, 19), (0, 24), (18, 29), (3, 19), (34, 3), (29, 12), (28, 13), (29, 16), (28, 14), (7, 15), (7, 3), (0, 36), (24, 26), (23, 36), (2, 5), (3, 24), (26, 23), (6, 5), (0, 17), (5, 10), (12, 34), (31, 2), (28, 33), (33, 33), (22, 13), (26, 13), (26, 24), (16, 30), (27, 36), (26, 21), (24, 12), (7, 28), (34, 28), (14, 0), (12, 21), (18, 36), (12, 28), (26, 20), (25, 36), (1, 0), (23, 29), (21, 24), (4, 18), (11, 22), (13, 35), (0, 3), (4, 22), (11, 30), (34, 26), (6, 28), (12, 26), (17, 23), (21, 18), (13, 26), (3, 0), (8, 23), (24, 22), (24, 1), (1, 24), (8, 17), (21, 19), (32, 7), (1, 37), (30, 35), (35, 4), (33, 24), (7, 16), (20, 19), (13, 34), (20, 12), (7, 33), (22, 12), (20, 2), (34, 18), (19, 16), (32, 34), (31, 13), (26, 14), (13, 10), (28, 28), (17, 16), (34, 0), (20, 6), (19, 11), (19, 4), (3, 30), (30, 9), (13, 4), (9, 19), (15, 10), (29, 3), (19, 13), (29, 34), (6, 11), (4, 6), (11, 33), (18, 33), (8, 8), (35, 35), (35, 5), (5, 12), (28, 27), (1, 9), (9, 32), (33, 25), (5, 2), (2, 6), (26, 16), (19, 23), (14, 34), (17, 28), (27, 16), (29, 1), (33, 26), (20, 33), (23, 37), (7, 5), (17, 27), (26, 36), (3, 35), (1, 10), (34, 29), (17, 24), (29, 37), (18, 27), (2, 2), (6, 10), (1, 18), (18, 17), (35, 23), (29, 25), (17, 0), (1, 6), (17, 8), (9, 8), (1, 23), (4, 3), (15, 4), (12, 22), (15, 32), (3, 7), (21, 22), (8, 22), (5, 25), (27, 27), (16, 15), (6, 12), (19, 30), (23, 1), (24, 2), (31, 33), (9, 5), (5, 31), (28, 4), (13, 9), (13, 11), (3, 6), (1, 16), (21, 30), (26, 19), (23, 25), (29, 11), (21, 38), (13, 30), (27, 7), (19, 27), (30, 13), (0, 15), (14, 26), (33, 37), (18, 9), (16, 14), (35, 19), (29, 26), (18, 6), (10, 15), (21, 32), (27, 32), (29, 22), (24, 29), (1, 3), (7, 36), (32, 4), (17, 35), (24, 25), (10, 11), (27, 12), (8, 28), (25, 35), (27, 2), (26, 12), (13, 23), (11, 0), (28, 26), (28, 29), (26, 26), (20, 4), (5, 16), (32, 24), (35, 7), (16, 16), (20, 38), (7, 20), (13, 13), (14, 35), (12, 13), (4, 36), (11, 38), (24, 28), (20, 29), (15, 25), (3, 8), (5, 30), (33, 11), (17, 9), (3, 2), (18, 15), (21, 15), (24, 0), (13, 36), (3, 37), (16, 20), (13, 31), (6, 13), (1, 19), (4, 21), (35, 24), (19, 10), (19, 31), (32, 32), (15, 22), (34, 15), (21, 13), (27, 8), (26, 31), (2, 38), (17, 17), (34, 38), (26, 7), (29, 27), (28, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 18), (20, 18), (12, 0), (30, 21), (2, 6), (13, 9), (17, 5), (28, 4), (2, 13), (29, 22), (18, 0), (27, 29), (14, 6), (29, 10), (25, 11), (12, 3), (7, 10), (11, 2), (20, 20), (12, 16), (23, 13), (10, 25), (20, 3), (30, 9), (19, 1), (20, 10), (7, 8), (22, 10), (1, 29), (16, 11), (11, 4), (22, 19), (23, 9), (15, 27), (26, 25), (30, 6), (22, 21), (15, 20), (14, 1), (10, 17), (30, 17), (18, 15), (0, 6), (3, 24), (4, 27), (10, 15), (4, 2), (28, 16), (19, 29), (7, 7), (16, 18), (1, 17), (28, 20), (17, 21), (24, 25), (26, 20), (9, 4), (14, 4), (5, 19), (10, 11), (9, 27), (24, 26), (19, 27), (1, 1), (10, 10), (1, 24), (25, 21), (22, 22), (21, 1), (8, 19), (15, 9), (3, 13), (13, 16), (3, 12), (3, 6), (17, 19), (10, 20), (6, 14), (20, 16), (1, 13), (5, 8), (4, 25), (21, 3), (27, 1), (17, 18), (6, 3), (28, 6), (31, 14), (2, 11), (24, 5), (31, 5), (3, 15), (18, 8), (12, 13), (7, 20), (5, 12), (13, 20), (23, 3), (26, 28), (15, 21), (25, 4), (31, 2), (2, 8), (13, 11), (21, 2), (7, 25), (17, 27), (4, 0), (26, 23), (12, 1), (8, 5), (11, 16), (2, 0), (18, 6), (27, 14), (28, 2), (5, 11), (5, 20), (6, 17), (11, 14), (14, 25), (5, 18), (15, 23), (22, 16), (26, 16), (20, 22), (27, 8), (6, 0), (8, 1), (27, 28), (10, 2), (5, 25), (22, 23), (8, 27), (29, 7), (10, 21), (25, 28), (28, 13), (12, 21), (29, 14), (22, 6), (16, 12), (28, 15), (17, 22), (4, 20), (14, 15), (20, 15), (30, 11), (13, 4), (11, 15), (16, 1), (17, 2), (14, 0), (11, 12), (7, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 24), (22, 24), (16, 29), (26, 5), (21, 28), (30, 6), (22, 27), (19, 2), (26, 18), (37, 25), (17, 18), (33, 10), (5, 16), (17, 24), (17, 12), (19, 21), (29, 19), (28, 0), (0, 12), (25, 16), (17, 1), (25, 23), (1, 23), (26, 24), (1, 19), (1, 4), (16, 5), (1, 7), (11, 6), (0, 29), (29, 25), (13, 18), (3, 0), (10, 3), (7, 23), (26, 14), (28, 29), (1, 0), (29, 22), (34, 6), (9, 22), (34, 4), (26, 10), (33, 20), (29, 10), (20, 16), (15, 4), (12, 15), (5, 6), (9, 8), (28, 13), (35, 0), (3, 22), (7, 16), (7, 13), (9, 20), (12, 23), (36, 23), (19, 27), (6, 8), (15, 29), (4, 20), (24, 16), (14, 1), (16, 2), (18, 1), (29, 14), (18, 15), (36, 8), (19, 4), (19, 17), (12, 21), (10, 15), (13, 1), (20, 7), (8, 15), (34, 12), (18, 3), (2, 11), (31, 18), (35, 6), (17, 29), (14, 9), (19, 22), (26, 3), (12, 10), (2, 29), (22, 13), (21, 13), (21, 5), (26, 12), (21, 21), (12, 22), (4, 7), (26, 21), (6, 19), (23, 9), (23, 2), (0, 21), (30, 7), (20, 6), (7, 9), (33, 6), (29, 27), (32, 13), (10, 11), (16, 1), (29, 17), (14, 4), (18, 25), (33, 25), (35, 17), (24, 0), (10, 1), (20, 3), (30, 20), (10, 23), (18, 2), (35, 13), (23, 5), (36, 20), (11, 26), (16, 3), (28, 5), (13, 24), (2, 22), (31, 8), (7, 21), (30, 9), (21, 22), (33, 3), (21, 11), (16, 6), (9, 17), (18, 7), (18, 14), (7, 29), (4, 27), (5, 22), (16, 27), (12, 14), (7, 17), (27, 2), (18, 10), (17, 27), (12, 0), (36, 2), (31, 28), (32, 10), (5, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 37x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 10), (3, 2), (21, 6), (14, 22), (15, 25), (25, 26), (7, 22), (28, 9), (34, 13), (5, 10), (11, 4), (30, 18), (25, 4), (0, 19), (18, 27), (19, 29), (13, 19), (26, 4), (10, 25), (3, 18), (21, 26), (5, 15), (3, 24), (27, 24), (26, 19), (25, 24), (20, 9), (19, 6), (16, 27), (4, 30), (16, 9), (9, 28), (8, 27), (35, 13), (24, 17), (3, 1), (32, 7), (16, 30), (0, 23), (25, 21), (33, 4), (23, 18), (28, 8), (22, 6), (16, 17), (7, 28), (10, 8), (5, 22), (5, 4), (21, 29), (26, 13), (20, 15), (17, 1), (32, 5), (36, 6), (28, 25), (7, 10), (11, 30), (11, 28), (36, 22), (10, 26), (36, 9), (7, 2), (32, 17), (18, 1), (7, 4), (15, 7), (8, 3), (29, 7), (30, 12), (29, 2), (18, 3), (0, 25), (34, 26), (27, 21), (10, 12), (36, 0), (32, 9), (36, 16), (0, 22), (15, 20), (24, 22), (26, 17), (20, 14), (22, 18), (6, 26), (13, 4), (15, 6), (16, 23), (35, 9), (19, 23), (14, 16), (12, 21), (11, 23), (9, 6), (33, 24), (2, 26), (19, 9), (6, 8), (22, 0), (4, 3), (30, 24), (25, 5), (28, 24), (14, 23), (21, 15), (32, 18), (21, 11), (13, 22), (20, 12), (6, 18), (20, 8), (5, 11), (5, 7), (30, 9), (26, 9), (5, 29), (16, 7), (5, 6), (10, 30), (23, 11), (2, 12), (3, 8), (12, 13), (1, 23), (4, 9), (8, 5), (25, 12), (21, 5), (32, 26), (4, 7), (25, 14), (28, 3), (0, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 26), (5, 17), (22, 27), (4, 31), (12, 27), (8, 1), (13, 14), (7, 9), (20, 4), (12, 11), (1, 28), (12, 17), (10, 6), (23, 1), (3, 5), (14, 22), (18, 11), (8, 31), (12, 24), (26, 31), (11, 12), (1, 1), (22, 11), (13, 22), (4, 4), (0, 30), (29, 11), (10, 21), (20, 19), (29, 1), (16, 5), (13, 6), (30, 17), (27, 29), (20, 29), (14, 11), (0, 1), (20, 10), (0, 27), (14, 26), (20, 2), (19, 24), (19, 30), (16, 10), (6, 18), (14, 18), (5, 28), (18, 8), (13, 31), (30, 25), (28, 18), (22, 28), (14, 30), (18, 1), (7, 8), (3, 19), (28, 1), (19, 22), (22, 9), (26, 27), (17, 31), (11, 15), (30, 27), (5, 31), (13, 9), (25, 16), (17, 29), (18, 31), (13, 11), (23, 18), (8, 2), (4, 14), (22, 31), (21, 9), (30, 7), (20, 15), (27, 22), (24, 12), (27, 1), (22, 12), (26, 22), (13, 25), (20, 21), (23, 28), (25, 19), (18, 23), (14, 14), (28, 21), (18, 5), (17, 7), (7, 26), (30, 0), (29, 29), (28, 16), (8, 25), (14, 25), (14, 9), (20, 16), (11, 25), (2, 6), (18, 22), (26, 8), (27, 6), (16, 21), (20, 5), (2, 3), (5, 25), (24, 25), (2, 1), (22, 0), (8, 8), (26, 11), (22, 25), (6, 16), (0, 5), (17, 24), (19, 14), (16, 18), (15, 19), (4, 24), (9, 25), (21, 24), (12, 5), (26, 21), (27, 28), (19, 1), (24, 29), (14, 28), (25, 27), (8, 4), (5, 3), (30, 30), (1, 23), (25, 28), (28, 30), (9, 3), (23, 25), (10, 18), (29, 20), (19, 18), (9, 19), (19, 29), (0, 28), (10, 16), (3, 16), (11, 23), (7, 11), (2, 22), (10, 30), (3, 30), (21, 27), (1, 30), (15, 14), (6, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 22), (19, 26), (23, 6), (9, 7), (26, 21), (24, 29), (6, 2), (19, 33), (17, 15), (28, 14), (10, 14), (14, 1), (6, 4), (18, 19), (6, 5), (9, 31), (10, 33), (4, 7), (3, 21), (19, 15), (5, 28), (22, 23), (18, 28), (1, 20), (15, 30), (27, 21), (34, 30), (11, 15), (15, 28), (16, 0), (7, 1), (3, 1), (33, 5), (30, 15), (2, 14), (8, 1), (29, 28), (24, 7), (13, 32), (33, 26), (15, 29), (17, 10), (26, 23), (9, 10), (33, 12), (9, 2), (12, 17), (0, 13), (33, 20), (6, 12), (28, 11), (9, 27), (28, 29), (19, 4), (33, 17), (35, 3), (30, 22), (11, 11), (11, 10), (20, 11), (17, 16), (9, 15), (18, 12), (29, 1), (20, 30), (32, 30), (30, 26), (6, 9), (6, 14), (24, 6), (6, 18), (18, 11), (15, 24), (21, 12), (4, 1), (21, 25), (4, 14), (16, 5), (4, 29), (32, 33), (16, 29), (8, 5), (5, 7), (7, 10), (9, 28), (10, 23), (15, 8), (24, 3), (12, 26), (0, 33), (26, 16), (19, 17), (22, 17), (24, 0), (22, 20), (16, 28), (14, 9), (17, 8), (26, 25), (16, 18), (14, 14), (33, 19), (11, 2), (7, 28), (6, 17), (26, 4), (14, 7), (35, 32), (34, 9), (17, 27), (29, 16), (14, 11), (28, 9), (6, 30), (2, 10), (32, 32), (12, 25), (20, 25), (7, 8), (5, 16), (21, 6), (17, 29), (18, 26), (29, 8), (18, 9), (10, 3), (9, 6), (19, 12), (11, 23), (22, 18), (23, 21), (30, 12), (20, 14), (29, 14), (31, 26), (17, 9), (13, 11), (4, 33), (35, 0), (34, 31), (11, 5), (34, 24), (10, 12), (28, 25), (6, 27), (5, 11), (0, 26), (10, 2), (15, 1), (10, 21), (1, 11), (30, 24), (25, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 15), (3, 21), (6, 24), (30, 17), (14, 2), (4, 10), (1, 29), (4, 17), (10, 4), (13, 8), (5, 31), (7, 6), (0, 19), (19, 28), (26, 15), (12, 34), (20, 31), (19, 31), (20, 11), (13, 22), (8, 12), (16, 3), (8, 3), (15, 12), (4, 8), (20, 34), (3, 15), (15, 29), (25, 6), (9, 32), (18, 27), (12, 19), (21, 2), (15, 16), (29, 1), (20, 14), (19, 3), (27, 16), (7, 2), (27, 10), (21, 21), (0, 9), (19, 27), (26, 19), (24, 2), (28, 22), (21, 1), (0, 8), (8, 33), (22, 0), (14, 27), (10, 26), (2, 15), (23, 13), (15, 25), (23, 10), (17, 32), (21, 25), (15, 2), (15, 14), (10, 21), (25, 11), (2, 33), (12, 25), (16, 2), (1, 12), (5, 3), (15, 3), (14, 8), (8, 14), (22, 7), (27, 2), (9, 8), (29, 30), (20, 2), (13, 27), (26, 23), (25, 5), (19, 14), (9, 2), (0, 23), (12, 28), (28, 5), (17, 12), (24, 27), (22, 23), (7, 24), (27, 11), (20, 32), (4, 19), (14, 11), (23, 6), (13, 17), (25, 24), (24, 33), (26, 32), (28, 8), (4, 26), (20, 24), (29, 16), (21, 19), (7, 31), (5, 29), (13, 19), (26, 9), (20, 16), (2, 32), (23, 28), (14, 16), (21, 12), (27, 25), (12, 33), (23, 3), (27, 9), (15, 8), (22, 14), (4, 12), (27, 5), (27, 21), (26, 16), (28, 31), (18, 29), (0, 6), (2, 25), (3, 5), (18, 30), (2, 28), (20, 25), (10, 7), (18, 16), (18, 6), (15, 10), (12, 7), (25, 3), (17, 28), (19, 34), (22, 10), (22, 4), (25, 22), (25, 25), (15, 19), (9, 26), (20, 5), (6, 32), (25, 33), (16, 33), (27, 23), (9, 27), (10, 12), (12, 1), (21, 4), (8, 21), (13, 20), (23, 11), (6, 5), (6, 25), (18, 8), (23, 16), (28, 2), (16, 13), (2, 3), (14, 5), (3, 33), (26, 25), (12, 15), (11, 3), (29, 9), (15, 11), (2, 10), (22, 22), (26, 11), (30, 31), (17, 30), (18, 13), (12, 16), (14, 13), (8, 31), (12, 14), (2, 22), (12, 31), (29, 23), (11, 25), (3, 12), (23, 19), (10, 34), (12, 4), (30, 9), (4, 5), (27, 12), (3, 19), (27, 28), (11, 21), (20, 26), (6, 9), (3, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 8), (5, 25), (26, 14), (10, 24), (19, 10), (19, 20), (11, 4), (12, 11), (3, 12), (21, 20), (21, 11), (26, 0), (29, 11), (7, 10), (24, 10), (27, 30), (25, 8), (14, 21), (24, 17), (16, 31), (0, 14), (9, 1), (10, 10), (14, 28), (19, 25), (3, 26), (19, 28), (15, 1), (21, 21), (13, 30), (0, 12), (16, 10), (6, 23), (28, 9), (4, 21), (12, 0), (27, 29), (18, 32), (18, 16), (12, 13), (10, 23), (14, 33), (25, 18), (29, 5), (2, 25), (26, 3), (0, 13), (14, 1), (12, 27), (20, 7), (28, 23), (24, 30), (20, 33), (17, 18), (12, 34), (10, 14), (29, 24), (21, 5), (8, 20), (18, 30), (0, 32), (5, 19), (19, 32), (17, 8), (3, 25), (1, 14), (4, 25), (28, 1), (7, 12), (4, 29), (23, 1), (5, 0), (16, 17), (15, 34), (20, 6), (26, 24), (27, 8), (12, 23), (21, 30), (3, 5), (6, 18), (26, 15), (13, 29), (10, 9), (29, 19), (17, 15), (10, 17), (18, 21), (26, 30), (27, 13), (26, 8), (22, 4), (20, 16), (16, 0), (4, 3), (25, 6), (28, 21), (7, 15), (13, 27), (7, 9), (28, 32), (3, 15), (13, 31), (22, 9), (21, 1), (24, 32), (21, 29), (12, 25), (13, 6), (8, 2), (9, 24), (17, 7), (29, 20), (9, 19), (1, 33), (4, 26), (11, 25), (27, 0), (20, 18), (27, 6), (9, 32), (1, 21), (7, 3), (28, 17), (24, 31), (29, 0), (3, 6), (23, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 6), (23, 19), (22, 28), (31, 16), (12, 0), (27, 10), (28, 3), (21, 16), (25, 29), (7, 30), (17, 17), (8, 26), (15, 12), (8, 14), (12, 19), (30, 25), (21, 15), (22, 23), (17, 7), (10, 31), (2, 19), (0, 5), (11, 2), (17, 14), (31, 5), (11, 10), (33, 11), (34, 21), (10, 1), (16, 23), (28, 17), (27, 15), (33, 21), (9, 8), (20, 6), (11, 23), (6, 10), (34, 15), (11, 18), (13, 17), (1, 23), (34, 19), (13, 22), (11, 1), (32, 26), (17, 20), (31, 29), (32, 22), (35, 22), (20, 11), (19, 23), (7, 18), (21, 0), (6, 19), (5, 10), (4, 18), (26, 5), (8, 2), (12, 4), (29, 5), (24, 11), (23, 10), (33, 13), (2, 4), (10, 15), (28, 10), (20, 20), (30, 27), (30, 17), (11, 22), (32, 21), (31, 30), (1, 4), (25, 24), (31, 15), (17, 30), (16, 0), (23, 25), (13, 10), (6, 13), (2, 15), (33, 7), (0, 18), (28, 27), (25, 26), (30, 22), (10, 10), (35, 2), (15, 25), (30, 16), (9, 31), (7, 22), (25, 21), (24, 21), (25, 9), (30, 5), (1, 11), (32, 24), (8, 11), (0, 9), (26, 15), (6, 8), (0, 16), (26, 1), (19, 17), (24, 6), (8, 17), (13, 9), (5, 16), (2, 25), (21, 12), (31, 17), (15, 6), (34, 30), (3, 22), (16, 19), (21, 27), (16, 24), (18, 30), (35, 11), (28, 1), (1, 28), (20, 2), (7, 7), (13, 25), (12, 18), (21, 24), (26, 2), (19, 22), (5, 23), (21, 26), (5, 11), (1, 29), (26, 14), (20, 14), (9, 5), (30, 14), (23, 26), (1, 16), (27, 27), (34, 13), (20, 27), (23, 12), (28, 21), (33, 2), (16, 10), (7, 15), (12, 5), (3, 16), (9, 15), (17, 19), (12, 13), (18, 3), (5, 27), (1, 9), (29, 22), (3, 12), (4, 10), (2, 17), (6, 6), (21, 7), (0, 21), (6, 29), (11, 30), (31, 24), (24, 22), (25, 2), (5, 24), (11, 4), (23, 31), (8, 31), (6, 31), (16, 1), (1, 14), (2, 16), (2, 26), (33, 9), (27, 13), (14, 17), (19, 4), (12, 25), (0, 29), (21, 5), (13, 1), (0, 17), (34, 8), (12, 3), (17, 29), (34, 10), (0, 22), (1, 27), (22, 29), (10, 12), (23, 7), (31, 6), (26, 18), (1, 2), (7, 6), (12, 22), (3, 17), (7, 21), (6, 14), (12, 10), (33, 31), (29, 26), (18, 10), (16, 27), (18, 4), (32, 23), (32, 18), (15, 14), (18, 24), (31, 8), (18, 19), (10, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 19), (28, 27), (4, 6), (16, 13), (5, 8), (8, 4), (21, 3), (19, 13), (5, 9), (30, 29), (8, 27), (26, 29), (11, 2), (22, 22), (30, 8), (1, 22), (13, 19), (11, 12), (8, 14), (14, 9), (19, 8), (11, 13), (24, 13), (12, 2), (28, 5), (17, 29), (8, 16), (23, 17), (16, 7), (21, 23), (32, 9), (27, 27), (20, 22), (19, 2), (11, 5), (2, 25), (28, 11), (4, 21), (14, 25), (29, 13), (12, 0), (13, 3), (25, 8), (29, 19), (28, 24), (23, 5), (2, 26), (12, 11), (0, 26), (7, 3), (21, 9), (4, 9), (20, 27), (13, 1), (18, 19), (28, 10), (17, 23), (11, 14), (29, 15), (14, 17), (20, 1), (12, 5), (10, 5), (9, 2), (8, 0), (24, 28), (17, 3), (5, 26), (15, 2), (20, 23), (10, 15), (29, 18), (7, 7), (23, 6), (13, 28), (26, 10), (15, 7), (24, 19), (14, 2), (22, 20), (22, 18), (20, 28), (24, 4), (27, 29), (24, 20), (1, 19), (23, 16), (15, 10), (31, 25), (0, 27), (25, 7), (15, 17), (12, 14), (0, 1), (1, 12), (4, 2), (5, 24), (25, 19), (3, 8), (28, 12), (0, 19), (28, 14), (17, 7), (23, 9), (14, 13), (1, 10), (30, 10), (1, 14), (3, 27), (13, 17), (8, 24), (27, 0), (18, 26), (27, 14), (2, 18), (28, 6), (12, 20), (16, 20), (13, 15), (32, 24), (5, 10), (10, 28), (21, 17), (5, 14), (4, 24), (5, 23), (22, 8), (8, 26), (20, 14), (18, 25), (4, 3), (19, 18), (23, 24), (12, 24), (1, 5), (26, 9), (16, 24), (18, 15), (20, 8), (11, 10), (15, 25), (6, 20), (13, 21), (21, 6), (7, 5), (15, 18), (23, 13), (14, 21), (17, 12), (20, 16), (11, 27), (1, 27), (23, 19), (7, 15), (30, 1), (30, 2), (32, 20), (18, 0), (22, 27), (2, 4), (17, 21), (22, 3), (11, 18), (18, 9), (20, 29), (27, 8), (16, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 20), (15, 9), (23, 10), (30, 24), (7, 23), (24, 28), (16, 28), (32, 25), (0, 15), (2, 19), (13, 13), (23, 11), (25, 18), (2, 28), (25, 15), (9, 11), (18, 25), (12, 9), (7, 25), (16, 9), (1, 25), (34, 26), (21, 20), (32, 20), (20, 10), (26, 11), (4, 20), (8, 14), (25, 20), (32, 2), (29, 10), (9, 2), (11, 25), (28, 12), (5, 22), (25, 3), (14, 12), (6, 10), (19, 1), (3, 25), (0, 11), (20, 12), (19, 0), (4, 29), (29, 25), (12, 14), (2, 5), (22, 16), (2, 22), (7, 26), (32, 14), (17, 12), (32, 11), (7, 0), (11, 5), (12, 18), (26, 17), (28, 18), (21, 8), (3, 11), (17, 17), (14, 21), (17, 9), (27, 29), (20, 17), (21, 6), (19, 27), (27, 5), (18, 24), (31, 18), (32, 1), (34, 3), (3, 28), (23, 20), (17, 16), (14, 18), (9, 29), (34, 23), (32, 21), (11, 24), (18, 15), (6, 28), (9, 28), (7, 20), (3, 27), (13, 18), (26, 24), (18, 3), (0, 3), (14, 16), (34, 15), (14, 10), (18, 19), (33, 17), (32, 3), (32, 9), (1, 26), (1, 2), (33, 5), (35, 0), (5, 8), (29, 28), (29, 16), (13, 15), (6, 29), (8, 26), (29, 12), (10, 19), (7, 11), (27, 24), (33, 3), (2, 13), (28, 15), (10, 12), (32, 23), (13, 12), (20, 7), (23, 12), (3, 6), (14, 5), (29, 17), (7, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 32x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 2), (14, 7), (4, 24), (22, 30), (26, 28), (15, 26), (3, 20), (27, 0), (24, 24), (3, 6), (27, 23), (20, 32), (31, 8), (20, 1), (2, 9), (9, 32), (31, 26), (1, 12), (22, 21), (17, 26), (18, 6), (21, 33), (15, 36), (23, 37), (13, 2), (7, 12), (31, 16), (29, 14), (6, 19), (2, 12), (7, 15), (24, 29), (6, 14), (16, 18), (29, 15), (27, 20), (29, 33), (24, 4), (26, 35), (26, 26), (19, 23), (19, 11), (16, 17), (9, 27), (20, 15), (8, 6), (3, 8), (2, 20), (25, 21), (15, 29), (29, 23), (0, 9), (23, 12), (17, 27), (18, 20), (25, 13), (25, 4), (27, 26), (21, 8), (8, 14), (31, 29), (4, 4), (14, 4), (31, 3), (28, 1), (21, 37), (13, 33), (17, 23), (24, 7), (22, 12), (18, 38), (18, 36), (3, 38), (5, 26), (11, 1), (9, 20), (26, 33), (28, 7), (22, 4), (7, 22), (18, 16), (25, 19), (21, 24), (11, 7), (5, 5), (30, 25), (24, 33), (2, 2), (9, 19), (23, 13), (31, 0), (10, 3), (23, 28), (24, 18), (19, 37), (6, 18), (20, 8), (4, 35), (23, 25), (11, 16), (5, 13), (26, 3), (0, 19), (13, 1), (23, 18), (19, 28), (27, 6), (4, 38), (1, 8), (1, 26), (7, 7), (25, 32), (1, 17), (28, 14), (19, 10), (13, 36), (29, 26), (16, 29), (19, 32), (21, 3), (27, 24), (5, 22), (11, 18), (5, 0), (9, 6), (22, 14), (5, 15), (14, 0), (21, 27), (3, 32), (22, 28), (11, 34), (9, 16), (10, 8), (30, 23), (16, 37), (17, 22), (30, 35), (19, 31), (21, 31), (15, 34), (31, 13), (28, 33), (25, 7), (29, 16), (2, 31), (19, 4), (12, 13), (19, 12), (1, 3), (25, 1), (18, 24), (2, 30), (12, 31), (0, 16), (0, 30), (15, 23), (29, 1), (31, 9), (26, 4), (12, 30), (15, 14), (7, 14), (15, 0), (10, 32), (19, 18), (27, 1), (19, 27), (6, 21), (0, 1), (20, 22), (0, 25), (15, 25), (5, 36), (13, 17), (20, 4), (4, 21), (1, 36), (4, 18), (23, 17), (20, 19), (21, 22), (26, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 36x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 34), (0, 1), (18, 32), (4, 20), (25, 17), (25, 25), (3, 19), (13, 31), (20, 14), (34, 16), (26, 17), (23, 6), (16, 12), (28, 31), (0, 18), (31, 0), (7, 29), (35, 0), (8, 19), (12, 20), (31, 28), (14, 25), (0, 19), (14, 27), (24, 15), (25, 8), (17, 21), (14, 18), (3, 1), (23, 19), (11, 31), (32, 0), (13, 17), (10, 23), (14, 15), (4, 22), (1, 33), (13, 9), (27, 25), (2, 18), (28, 0), (14, 3), (4, 4), (20, 1), (5, 8), (23, 34), (6, 0), (2, 31), (30, 9), (21, 6), (19, 6), (18, 1), (30, 30), (34, 33), (25, 15), (11, 20), (24, 9), (33, 10), (8, 9), (18, 6), (31, 8), (20, 8), (26, 0), (23, 14), (25, 12), (30, 2), (20, 25), (28, 15), (28, 10), (14, 22), (21, 16), (13, 18), (1, 5), (22, 13), (17, 30), (23, 28), (10, 15), (11, 15), (2, 10), (4, 23), (24, 17), (16, 28), (19, 17), (8, 32), (32, 2), (35, 7), (16, 31), (27, 19), (30, 10), (2, 20), (12, 26), (8, 33), (3, 32), (12, 16), (20, 22), (20, 3), (29, 17), (18, 9), (13, 11), (33, 16), (6, 26), (26, 33), (33, 17), (16, 27), (33, 13), (24, 8), (22, 16), (10, 30), (12, 34), (5, 6), (27, 23), (19, 30), (9, 0), (22, 22), (33, 27), (4, 10), (0, 23), (11, 34), (20, 13), (26, 18), (0, 21), (3, 29), (24, 2), (24, 4), (3, 15), (33, 9), (16, 16), (11, 3), (12, 12), (11, 12), (28, 28), (32, 32), (34, 15), (13, 19), (25, 18), (1, 34), (20, 2), (24, 19), (32, 28), (28, 32), (7, 19), (17, 5), (3, 26), (2, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 10), (30, 15), (23, 19), (31, 9), (1, 23), (7, 16), (16, 23), (13, 8), (1, 5), (19, 11), (22, 8), (5, 0), (5, 25), (2, 16), (14, 18), (13, 1), (18, 26), (8, 11), (0, 10), (26, 20), (2, 19), (20, 10), (8, 16), (18, 22), (4, 17), (15, 9), (11, 15), (15, 1), (6, 2), (23, 23), (25, 0), (19, 21), (10, 1), (6, 26), (12, 26), (11, 11), (30, 13), (26, 25), (16, 7), (17, 24), (14, 29), (8, 0), (24, 0), (6, 18), (13, 0), (18, 11), (21, 4), (30, 8), (6, 25), (31, 4), (23, 10), (30, 14), (15, 28), (23, 21), (6, 4), (9, 16), (22, 17), (31, 28), (21, 29), (22, 14), (1, 7), (26, 1), (10, 7), (28, 2), (12, 13), (27, 18), (4, 31), (2, 23), (25, 32), (12, 12), (8, 24), (14, 21), (29, 31), (16, 17), (6, 16), (7, 14), (7, 5), (31, 17), (15, 5), (4, 26), (12, 30), (23, 9), (23, 29), (0, 29), (16, 11), (4, 18), (15, 4), (30, 16), (21, 30), (12, 2), (18, 2), (7, 20), (17, 27), (31, 5), (14, 28), (26, 23), (10, 32), (28, 4), (9, 27), (19, 6), (14, 24), (13, 22), (21, 15), (22, 12), (29, 32), (19, 26), (11, 3), (28, 0), (9, 23), (11, 20), (2, 13), (26, 28), (17, 12), (6, 7), (25, 3), (5, 29), (30, 23), (16, 21), (24, 29), (3, 11), (2, 22), (24, 31), (31, 1), (30, 4), (27, 5), (22, 25), (19, 30), (17, 29), (29, 30), (16, 4), (26, 30), (12, 4), (18, 7), (26, 13), (8, 2), (20, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 22), (29, 27), (6, 16), (18, 21), (10, 14), (19, 25), (35, 14), (9, 20), (13, 0), (33, 10), (28, 14), (8, 1), (28, 4), (29, 20), (15, 22), (22, 13), (4, 9), (13, 9), (4, 30), (18, 8), (35, 22), (20, 8), (27, 3), (22, 24), (9, 6), (8, 18), (21, 29), (22, 20), (26, 10), (1, 5), (30, 16), (23, 11), (3, 5), (31, 26), (4, 18), (8, 21), (2, 2), (26, 17), (0, 9), (23, 0), (21, 0), (14, 0), (26, 26), (25, 19), (14, 13), (25, 15), (7, 25), (33, 8), (11, 12), (19, 0), (16, 7), (32, 32), (24, 12), (21, 21), (25, 32), (3, 24), (31, 8), (11, 25), (30, 26), (2, 10), (8, 23), (9, 26), (23, 4), (15, 19), (9, 7), (2, 31), (30, 21), (24, 7), (8, 5), (10, 24), (14, 31), (13, 31), (29, 30), (28, 1), (11, 6), (30, 20), (0, 15), (6, 8), (15, 10), (24, 20), (32, 20), (25, 2), (21, 2), (21, 20), (15, 9), (34, 27), (26, 5), (18, 17), (17, 16), (27, 23), (7, 14), (8, 9), (25, 8), (16, 22), (4, 20), (31, 21), (31, 24), (27, 16), (20, 7), (31, 15), (17, 10), (23, 15), (35, 9), (30, 28), (18, 2), (17, 23), (3, 2), (23, 6), (6, 19), (13, 16), (20, 25), (30, 31), (24, 11), (5, 0), (12, 20), (6, 1), (11, 19), (10, 20), (3, 31), (27, 7), (12, 14), (12, 15), (24, 9), (23, 22), (34, 10), (11, 1), (15, 12), (3, 29), (13, 7), (2, 22), (33, 16), (6, 26), (33, 0), (10, 17), (25, 31), (12, 24), (15, 17), (3, 4), (29, 0), (6, 17), (23, 1), (11, 2), (6, 20), (0, 16), (0, 31), (34, 7), (3, 14), (22, 16), (20, 4), (35, 30), (7, 8), (2, 29), (20, 14), (32, 4), (2, 14), (19, 10), (17, 9), (13, 11), (18, 29), (24, 0), (26, 32), (1, 7), (13, 1), (4, 25), (14, 15), (19, 9), (34, 21), (15, 7), (20, 23), (16, 31), (24, 24), (9, 10), (15, 13), (12, 2), (1, 12), (30, 25), (27, 29), (9, 15), (7, 32), (29, 29), (9, 31), (12, 4), (10, 1), (11, 10), (4, 28), (3, 8), (21, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 17), (19, 18), (7, 24), (25, 12), (30, 29), (23, 25), (21, 10), (22, 16), (20, 29), (16, 3), (13, 22), (30, 17), (4, 18), (9, 27), (18, 29), (14, 28), (25, 3), (4, 3), (21, 29), (28, 25), (30, 21), (20, 20), (6, 18), (20, 9), (27, 0), (13, 15), (12, 11), (20, 18), (23, 26), (17, 16), (4, 16), (23, 7), (29, 14), (4, 31), (1, 22), (19, 32), (0, 30), (14, 11), (25, 21), (9, 8), (29, 5), (25, 11), (26, 5), (16, 17), (1, 28), (24, 18), (2, 15), (26, 10), (14, 18), (26, 26), (25, 5), (29, 25), (21, 2), (0, 12), (18, 17), (25, 2), (1, 20), (27, 16), (21, 7), (4, 24), (14, 24), (7, 13), (5, 19), (9, 14), (8, 7), (19, 16), (21, 33), (8, 21), (7, 6), (26, 23), (16, 20), (24, 16), (22, 24), (15, 21), (3, 32), (17, 6), (3, 10), (1, 27), (24, 17), (16, 11), (18, 27), (2, 16), (24, 20), (21, 17), (22, 32), (9, 12), (24, 32), (23, 32), (8, 27), (17, 3), (12, 7), (9, 4), (17, 17), (5, 18), (13, 3), (29, 20), (28, 10), (19, 8), (28, 13), (17, 23), (18, 23), (27, 1), (15, 10), (6, 1), (6, 5), (10, 13), (6, 29), (22, 21), (20, 11), (6, 15), (0, 24), (24, 31), (20, 1), (14, 22), (2, 14), (24, 11), (21, 21), (17, 4), (16, 7), (9, 22), (23, 11), (5, 15), (5, 10), (8, 11), (28, 20), (1, 31), (13, 11), (26, 15), (0, 27), (6, 26), (19, 19), (0, 33), (5, 24), (15, 6), (22, 30), (28, 27), (7, 3), (24, 33), (6, 2), (8, 31), (10, 28), (22, 1), (30, 20), (23, 14), (23, 20), (24, 0), (16, 6), (4, 7), (19, 17), (4, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 25), (2, 2), (26, 33), (1, 7), (6, 21), (29, 19), (5, 18), (29, 26), (29, 35), (27, 2), (26, 35), (31, 12), (24, 3), (26, 0), (3, 4), (2, 13), (29, 9), (20, 23), (18, 18), (15, 31), (0, 27), (14, 11), (30, 4), (12, 8), (24, 32), (0, 18), (22, 17), (31, 28), (9, 10), (20, 37), (33, 18), (25, 37), (8, 10), (18, 26), (28, 37), (15, 24), (28, 2), (20, 18), (8, 20), (11, 4), (33, 30), (9, 3), (10, 11), (23, 25), (34, 16), (17, 17), (9, 27), (10, 37), (26, 28), (19, 14), (23, 13), (20, 28), (14, 4), (15, 16), (19, 22), (32, 15), (6, 35), (6, 24), (3, 34), (18, 25), (14, 16), (8, 5), (7, 30), (3, 2), (24, 18), (1, 0), (23, 20), (14, 13), (17, 18), (29, 24), (18, 5), (26, 2), (6, 28), (0, 8), (33, 7), (0, 12), (22, 3), (22, 0), (14, 29), (11, 14), (21, 30), (3, 14), (2, 21), (25, 29), (17, 25), (30, 12), (15, 5), (20, 16), (8, 9), (14, 6), (12, 4), (29, 15), (26, 31), (9, 24), (10, 3), (24, 11), (6, 30), (0, 6), (18, 8), (12, 18), (9, 2), (1, 18), (21, 23), (24, 0), (15, 23), (24, 21), (28, 30), (3, 28), (19, 21), (23, 11), (10, 9), (28, 18), (15, 3), (9, 16), (23, 21), (4, 21), (2, 19), (33, 4), (4, 2), (24, 13), (31, 33), (3, 19), (22, 9), (8, 29), (6, 31), (17, 3), (2, 31), (21, 35), (16, 11), (16, 12), (31, 10), (31, 9), (1, 24), (5, 8), (4, 19), (19, 13), (10, 27), (32, 22), (7, 20), (11, 27), (6, 14), (4, 27), (11, 34), (25, 19), (3, 37), (27, 8), (1, 34), (34, 0), (0, 13), (28, 29), (22, 7), (5, 21), (1, 20), (6, 11), (7, 4), (22, 37), (28, 8), (5, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 23), (30, 16), (24, 9), (21, 21), (22, 12), (28, 1), (25, 29), (20, 16), (18, 16), (25, 11), (23, 7), (11, 6), (1, 23), (33, 11), (16, 25), (18, 29), (9, 29), (9, 12), (20, 7), (31, 13), (1, 11), (25, 26), (7, 28), (9, 2), (0, 20), (21, 3), (1, 27), (22, 4), (2, 27), (12, 15), (16, 13), (29, 21), (11, 29), (11, 20), (22, 3), (22, 16), (26, 19), (32, 8), (17, 22), (8, 23), (27, 12), (1, 18), (24, 18), (23, 18), (25, 13), (32, 23), (21, 13), (29, 12), (17, 7), (8, 18), (30, 13), (33, 25), (27, 27), (21, 7), (25, 18), (5, 18), (16, 29), (7, 22), (11, 2), (11, 9), (30, 28), (23, 12), (31, 4), (25, 9), (29, 19), (12, 1), (8, 10), (11, 17), (13, 26), (27, 16), (24, 4), (23, 26), (31, 22), (6, 0), (10, 11), (5, 4), (13, 29), (6, 14), (28, 21), (9, 7), (27, 25), (26, 12), (18, 17), (0, 19), (5, 13), (5, 22), (28, 14), (10, 26), (28, 23), (30, 3), (5, 16), (19, 18), (16, 28), (15, 5), (1, 17), (17, 18), (22, 21), (30, 12), (24, 11), (9, 1), (14, 0), (9, 14), (29, 25), (34, 0), (17, 4), (24, 23), (34, 4), (0, 18), (0, 3), (33, 23), (5, 9), (23, 0), (20, 12), (21, 17), (34, 20), (14, 26), (15, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 34x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 27), (7, 17), (33, 18), (8, 14), (23, 12), (27, 3), (4, 4), (29, 17), (24, 12), (8, 29), (0, 23), (28, 7), (30, 9), (1, 23), (1, 25), (13, 14), (28, 28), (30, 12), (31, 7), (23, 15), (18, 21), (9, 25), (13, 15), (32, 1), (11, 9), (16, 19), (23, 21), (11, 19), (20, 26), (16, 27), (5, 24), (22, 19), (23, 22), (1, 22), (21, 21), (27, 11), (14, 21), (17, 9), (24, 6), (32, 3), (12, 6), (12, 28), (24, 16), (23, 23), (20, 23), (15, 7), (18, 22), (14, 22), (19, 16), (5, 11), (25, 8), (32, 11), (9, 15), (9, 28), (6, 1), (26, 7), (22, 5), (6, 5), (7, 8), (14, 4), (11, 30), (1, 10), (29, 24), (24, 23), (11, 11), (32, 2), (11, 21), (16, 4), (31, 19), (33, 12), (0, 20), (14, 13), (20, 10), (6, 27), (7, 26), (29, 12), (15, 3), (24, 15), (30, 17), (20, 1), (19, 25), (1, 0), (23, 9), (30, 3), (9, 27), (31, 9), (3, 28), (4, 12), (15, 24), (4, 3), (22, 22), (31, 11), (20, 4), (4, 24), (9, 12), (16, 26), (21, 0), (11, 27), (31, 4), (31, 6), (12, 24), (3, 12), (6, 24), (6, 0), (20, 12), (26, 5), (13, 1), (16, 8), (10, 11), (28, 23), (22, 13), (27, 30), (0, 16), (29, 20), (9, 2), (1, 29), (23, 27), (20, 30), (27, 29), (3, 3), (20, 18), (19, 24), (19, 27), (14, 3), (17, 28), (4, 11), (19, 4), (10, 25), (2, 1), (9, 0), (23, 5), (21, 22), (3, 4), (8, 10), (19, 2), (2, 11), (26, 0), (8, 21), (27, 10), (14, 10), (10, 26), (16, 17), (25, 17), (10, 2), (12, 25), (13, 3), (1, 2), (6, 8), (0, 11), (27, 13), (22, 27), (25, 4), (17, 26), (29, 27), (19, 14), (8, 26), (22, 4), (18, 3), (23, 28), (0, 12), (9, 11), (29, 30), (23, 0), (19, 10), (6, 19), (28, 17), (20, 25), (7, 9), (11, 29), (23, 26), (15, 26), (23, 3), (4, 6), (17, 4), (9, 16), (12, 16), (14, 9), (24, 25), (6, 25), (21, 13), (6, 23), (15, 8), (33, 6), (6, 26), (10, 7), (2, 19), (30, 8), (28, 2), (5, 17), (13, 27), (23, 6), (29, 3), (2, 22), (1, 3), (18, 5), (24, 27), (30, 5), (6, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 30x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 21), (19, 5), (11, 18), (8, 0), (11, 13), (12, 31), (16, 32), (7, 31), (12, 22), (19, 17), (3, 28), (10, 30), (27, 20), (27, 32), (19, 20), (4, 16), (27, 5), (13, 10), (23, 23), (4, 2), (13, 16), (21, 8), (12, 21), (10, 12), (16, 19), (23, 15), (0, 7), (28, 20), (4, 18), (23, 13), (20, 31), (6, 17), (5, 1), (5, 21), (13, 6), (26, 26), (9, 6), (17, 0), (20, 23), (12, 7), (18, 25), (25, 20), (22, 10), (6, 14), (25, 4), (15, 6), (8, 29), (8, 10), (26, 28), (11, 3), (0, 27), (24, 22), (19, 22), (28, 23), (3, 29), (22, 16), (11, 12), (28, 32), (13, 26), (29, 15), (4, 20), (22, 28), (3, 25), (16, 16), (19, 24), (17, 22), (3, 0), (25, 19), (27, 29), (7, 3), (5, 19), (12, 14), (4, 0), (22, 29), (9, 32), (9, 3), (18, 3), (13, 3), (16, 12), (0, 28), (17, 1), (22, 23), (16, 28), (22, 27), (7, 20), (6, 28), (26, 18), (8, 22), (2, 23), (21, 29), (12, 12), (8, 27), (1, 32), (28, 0), (16, 15), (3, 20), (0, 14), (4, 14), (12, 10), (8, 5), (24, 1), (13, 0), (6, 29), (20, 6), (0, 32), (2, 20), (16, 22), (24, 19), (23, 2), (9, 1), (23, 9), (1, 21), (22, 14), (11, 2), (21, 28), (0, 22), (12, 0), (20, 15), (6, 26), (29, 14), (28, 22), (21, 30), (23, 14), (21, 6), (8, 25), (3, 32), (26, 25), (1, 24), (1, 18), (3, 30), (7, 22), (3, 14), (25, 14), (18, 10), (2, 2), (27, 9), (28, 29), (15, 10), (26, 22), (15, 19), (17, 3), (26, 8), (27, 30), (11, 0), (23, 11), (28, 28), (15, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (35, 32), (33, 27), (34, 33), (21, 9), (6, 34), (0, 4), (36, 31), (30, 26), (6, 2), (2, 33), (17, 17), (22, 33), (19, 25), (24, 3), (34, 0), (8, 31), (13, 32), (8, 10), (20, 0), (36, 33), (31, 13), (19, 17), (29, 4), (4, 16), (36, 16), (17, 24), (6, 0), (35, 22), (12, 9), (35, 11), (16, 31), (11, 11), (19, 34), (7, 34), (12, 21), (8, 24), (1, 0), (29, 20), (32, 31), (11, 4), (20, 7), (5, 10), (22, 1), (29, 27), (31, 28), (18, 26), (18, 11), (22, 32), (36, 21), (34, 1), (6, 32), (28, 12), (5, 11), (13, 1), (19, 23), (27, 21), (28, 17), (30, 0), (23, 12), (29, 33), (2, 19), (7, 9), (18, 31), (12, 7), (14, 17), (23, 34), (7, 22), (10, 28), (36, 9), (27, 33), (22, 19), (0, 15), (30, 32), (15, 0), (4, 0), (21, 11), (22, 3), (28, 19), (34, 3), (26, 33), (11, 31), (9, 9), (23, 8), (4, 11), (2, 20), (6, 30), (11, 10), (36, 25), (25, 28), (18, 29), (18, 25), (6, 29), (12, 17), (15, 23), (30, 14), (33, 30), (28, 29), (28, 0), (9, 21), (28, 15), (23, 26), (29, 16), (10, 22), (5, 21), (13, 6), (31, 3), (30, 15), (3, 0), (1, 7), (26, 24), (13, 20), (15, 26), (19, 31), (12, 31), (21, 10), (17, 14), (35, 31), (22, 11), (10, 16), (17, 5), (21, 1), (32, 24), (17, 12), (28, 33), (33, 20), (22, 16), (13, 19), (23, 11), (36, 22), (17, 33), (23, 6), (15, 21), (12, 4), (24, 2), (5, 18), (3, 9), (17, 26), (26, 22), (35, 9), (3, 18), (35, 15), (24, 10), (8, 26), (25, 16), (30, 18), (7, 18), (4, 17), (6, 10), (34, 26), (10, 14), (11, 9), (13, 29), (36, 20), (0, 3), (8, 28), (7, 21), (23, 2), (29, 11), (2, 4), (35, 23), (18, 27), (17, 25), (10, 6), (0, 22), (14, 14), (0, 7), (9, 23), (32, 16), (21, 6), (12, 26), (11, 24), (28, 8), (18, 2), (31, 6), (9, 3), (26, 28), (30, 30), (30, 27), (14, 3), (30, 8), (24, 15), (7, 4), (27, 2), (19, 9), (6, 11), (26, 17), (23, 20), (7, 7), (3, 11), (27, 29), (27, 18), (32, 7), (12, 11), (6, 33), (32, 26), (31, 1), (4, 4), (8, 27), (20, 27), (13, 34), (20, 30), (9, 10), (23, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 10), (7, 26), (23, 3), (28, 2), (29, 11), (18, 8), (27, 3), (26, 22), (18, 30), (31, 27), (10, 25), (32, 23), (10, 19), (20, 29), (2, 22), (8, 29), (29, 27), (7, 2), (27, 20), (13, 15), (14, 25), (16, 27), (30, 18), (12, 16), (7, 10), (24, 13), (14, 16), (35, 27), (0, 4), (7, 17), (9, 1), (14, 20), (2, 16), (11, 10), (7, 5), (28, 26), (16, 22), (0, 11), (19, 31), (7, 31), (15, 22), (22, 16), (30, 21), (6, 28), (20, 24), (35, 1), (30, 31), (35, 22), (5, 23), (5, 16), (28, 31), (17, 16), (30, 10), (23, 18), (35, 8), (24, 28), (11, 27), (31, 16), (12, 19), (34, 21), (36, 9), (5, 5), (31, 30), (9, 16), (13, 8), (31, 9), (9, 25), (32, 8), (33, 11), (32, 30), (11, 21), (23, 13), (35, 17), (2, 15), (25, 7), (32, 17), (30, 29), (7, 24), (15, 10), (5, 26), (26, 25), (19, 24), (13, 27), (2, 4), (21, 2), (21, 0), (29, 21), (30, 26), (34, 3), (16, 17), (18, 21), (12, 31), (28, 23), (18, 24), (22, 17), (27, 16), (14, 5), (19, 0), (36, 14), (28, 6), (2, 26), (26, 9), (20, 7), (9, 12), (31, 23), (6, 21), (21, 12), (14, 0), (19, 20), (25, 27), (13, 23), (23, 7), (29, 14), (16, 26), (19, 17), (30, 27), (9, 31), (4, 4), (26, 7), (8, 28), (22, 14), (4, 30), (26, 1), (21, 8), (24, 31), (21, 30), (29, 2), (17, 4), (24, 15), (4, 7), (19, 12), (12, 28), (3, 11), (34, 25), (29, 17), (34, 0), (11, 6), (14, 31), (22, 15), (2, 10), (33, 15), (28, 15), (4, 22), (34, 20), (14, 9), (27, 17), (8, 16), (15, 29), (31, 2), (3, 24), (36, 6), (6, 3), (1, 4), (32, 20), (27, 5), (2, 0), (3, 16), (24, 30), (23, 9), (3, 20), (35, 30), (15, 31), (2, 25), (30, 20), (23, 16), (29, 18), (33, 22), (30, 9), (13, 20), (14, 10), (6, 11), (29, 13), (0, 15), (16, 1), (32, 14), (28, 25), (6, 14), (19, 23), (12, 29), (9, 13), (35, 25), (8, 14), (8, 8), (29, 9), (31, 19), (18, 17), (26, 27), (6, 4), (26, 17), (26, 20), (16, 5), (11, 31), (8, 31), (8, 2), (21, 27), (20, 8), (2, 19), (30, 2), (13, 1), (6, 26), (20, 6), (18, 25), (1, 24), (12, 11), (3, 28), (15, 0), (17, 20), (3, 25), (10, 26), (5, 19), (31, 11), (32, 24), (27, 27), (28, 14), (28, 22), (4, 10), (19, 13), (12, 30), (9, 5), (36, 2), (27, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 33x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 28), (6, 34), (21, 14), (18, 19), (22, 14), (13, 2), (11, 7), (24, 20), (30, 17), (9, 20), (22, 8), (32, 22), (32, 13), (5, 16), (16, 30), (3, 36), (5, 29), (18, 36), (28, 29), (14, 0), (27, 6), (12, 2), (20, 17), (6, 28), (4, 15), (28, 16), (6, 2), (5, 10), (16, 21), (25, 5), (23, 15), (9, 35), (12, 31), (28, 17), (11, 18), (18, 29), (13, 3), (9, 15), (13, 9), (26, 18), (25, 26), (24, 8), (15, 31), (4, 0), (21, 15), (24, 3), (23, 36), (4, 19), (15, 33), (32, 11), (7, 31), (28, 33), (13, 14), (3, 9), (15, 36), (6, 15), (4, 24), (14, 31), (12, 21), (6, 7), (8, 36), (18, 31), (18, 14), (3, 26), (7, 32), (24, 11), (18, 10), (19, 0), (23, 3), (16, 7), (1, 3), (25, 7), (15, 18), (4, 27), (9, 14), (15, 25), (27, 2), (25, 36), (25, 3), (15, 20), (8, 33), (0, 24), (18, 33), (19, 18), (18, 18), (3, 19), (8, 10), (21, 16), (23, 27), (26, 13), (11, 8), (31, 17), (25, 32), (5, 0), (32, 16), (15, 32), (27, 18), (9, 2), (6, 23), (9, 23), (17, 29), (18, 32), (8, 15), (8, 13), (22, 17), (26, 3), (2, 33), (17, 8), (1, 12), (7, 13), (32, 12), (14, 15), (14, 1), (18, 28), (5, 5), (29, 4), (5, 23), (14, 34), (31, 27), (10, 11), (11, 19), (19, 27), (17, 2), (28, 34), (17, 4), (3, 4), (0, 4), (25, 34), (13, 0), (4, 32), (27, 21), (6, 27), (20, 2), (4, 7), (0, 33), (0, 2), (1, 32), (6, 3), (6, 17), (26, 6), (9, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 18), (12, 24), (11, 20), (34, 3), (34, 13), (8, 0), (4, 17), (19, 23), (1, 25), (3, 21), (17, 2), (31, 21), (11, 22), (15, 22), (1, 18), (17, 21), (31, 16), (24, 3), (12, 17), (18, 5), (19, 5), (23, 20), (5, 2), (29, 3), (32, 9), (26, 2), (33, 0), (0, 24), (27, 14), (24, 21), (6, 4), (12, 23), (28, 13), (20, 2), (24, 23), (19, 15), (17, 1), (10, 12), (23, 6), (0, 25), (11, 19), (22, 18), (7, 6), (3, 24), (18, 24), (4, 25), (15, 12), (11, 3), (14, 26), (14, 3), (32, 8), (26, 27), (5, 27), (29, 6), (3, 18), (12, 4), (29, 15), (32, 21), (6, 21), (30, 29), (6, 14), (18, 2), (27, 5), (13, 1), (4, 19), (32, 25), (20, 17), (10, 11), (33, 23), (0, 22), (3, 15), (29, 23), (24, 20), (26, 26), (13, 8), (30, 24), (12, 22), (29, 8), (13, 3), (30, 13), (8, 12), (23, 16), (29, 26), (29, 14), (19, 19), (4, 16), (32, 1), (5, 23), (2, 23), (20, 16), (30, 15), (11, 13), (31, 23), (11, 5), (7, 7), (11, 8), (12, 18), (33, 5), (1, 16), (9, 5), (6, 19), (9, 8), (23, 13), (33, 20), (12, 8), (23, 15), (23, 8), (17, 11), (23, 25), (15, 29), (20, 23), (22, 12), (18, 19), (13, 27), (31, 5), (9, 26), (10, 0), (23, 22), (25, 16), (13, 26), (19, 29), (2, 9), (32, 4), (10, 16), (5, 16), (1, 6), (16, 8), (4, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 35), (22, 22), (23, 30), (17, 8), (32, 22), (30, 10), (3, 34), (15, 7), (31, 32), (9, 22), (4, 28), (10, 28), (0, 15), (3, 13), (10, 29), (10, 24), (15, 5), (29, 27), (3, 21), (33, 8), (12, 24), (0, 28), (2, 36), (5, 23), (16, 5), (34, 12), (9, 9), (1, 25), (1, 16), (3, 18), (33, 33), (24, 7), (8, 16), (34, 7), (25, 36), (21, 1), (15, 36), (12, 26), (30, 34), (14, 20), (6, 29), (33, 31), (5, 30), (5, 3), (7, 36), (25, 24), (6, 3), (4, 11), (26, 14), (4, 4), (5, 4), (0, 8), (29, 18), (27, 12), (13, 10), (18, 30), (14, 36), (11, 1), (34, 11), (14, 24), (16, 36), (21, 5), (0, 10), (34, 24), (6, 33), (17, 14), (11, 13), (7, 27), (34, 16), (32, 2), (17, 34), (29, 10), (10, 20), (2, 29), (14, 12), (2, 8), (27, 26), (23, 22), (4, 36), (34, 18), (13, 12), (3, 20), (1, 29), (33, 24), (15, 24), (14, 16), (17, 23), (9, 16), (16, 16), (10, 35), (5, 35), (33, 14), (1, 17), (20, 29), (32, 3), (21, 26), (26, 22), (31, 36), (17, 17), (12, 18), (9, 28), (9, 31), (23, 3), (31, 15), (31, 6), (18, 8), (13, 2), (30, 17), (10, 14), (20, 25), (21, 36), (25, 32), (11, 30), (34, 33), (9, 8), (1, 12), (9, 29), (34, 31), (27, 11), (1, 34), (27, 33), (29, 7), (18, 13), (0, 17), (28, 1), (2, 5), (20, 33), (24, 5), (30, 3), (32, 29), (31, 24), (24, 32), (26, 12), (28, 5), (21, 30), (0, 9), (29, 15), (31, 4), (22, 18), (6, 27), (21, 15), (25, 19), (4, 10), (6, 19), (22, 32), (5, 13), (21, 11), (31, 9), (23, 14), (10, 12), (14, 29), (12, 20), (3, 25), (27, 17), (16, 10), (13, 4), (9, 5), (23, 6), (8, 15), (0, 21), (33, 30), (15, 18), (12, 23), (23, 8), (19, 8), (17, 3), (0, 4), (18, 22), (2, 18), (18, 14), (12, 29), (5, 34), (13, 35), (33, 0), (26, 26), (34, 13), (13, 23), (22, 23), (20, 3), (28, 23), (12, 14), (28, 33), (4, 9), (5, 16), (16, 31), (18, 31), (10, 18), (10, 1), (25, 23), (1, 22), (17, 32), (14, 14), (34, 17), (34, 19), (19, 23), (1, 24), (33, 36), (24, 33), (31, 2), (25, 33), (8, 7), (17, 9), (9, 23), (7, 24), (9, 0), (0, 7), (11, 5), (11, 19), (31, 28), (26, 18), (30, 36), (28, 22), (0, 16), (21, 34), (18, 32), (14, 15), (0, 24), (19, 14), (32, 6), (11, 32), (18, 23), (29, 28), (16, 18), (27, 32), (24, 30), (12, 10), (3, 1), (3, 30), (26, 29), (20, 36), (7, 1), (13, 32), (10, 6), (22, 29), (8, 21), (7, 14), (18, 27), (31, 11), (17, 12), (16, 17), (29, 8), (16, 6), (24, 35), (2, 19), (24, 27), (9, 15), (8, 2), (9, 17), (1, 0), (30, 15), (20, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 39x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (35, 32), (18, 26), (27, 29), (26, 9), (9, 3), (30, 23), (34, 34), (12, 18), (17, 11), (20, 28), (25, 18), (2, 31), (14, 18), (24, 21), (10, 1), (16, 19), (32, 24), (19, 14), (27, 31), (17, 19), (1, 14), (27, 4), (17, 20), (15, 20), (11, 33), (25, 6), (3, 18), (2, 28), (20, 14), (1, 19), (23, 9), (34, 23), (29, 17), (19, 18), (9, 10), (2, 22), (11, 9), (4, 10), (19, 17), (13, 22), (28, 5), (7, 12), (33, 8), (35, 16), (22, 9), (8, 7), (9, 19), (15, 10), (18, 17), (6, 10), (14, 20), (22, 11), (14, 13), (1, 34), (34, 3), (24, 30), (6, 27), (1, 11), (20, 22), (22, 24), (27, 17), (11, 28), (19, 29), (21, 18), (29, 10), (5, 17), (2, 12), (7, 14), (18, 4), (32, 8), (29, 31), (16, 22), (16, 12), (0, 16), (6, 26), (29, 6), (25, 23), (35, 3), (28, 19), (12, 24), (25, 22), (15, 3), (24, 6), (11, 30), (32, 27), (15, 2), (10, 29), (13, 1), (23, 33), (23, 4), (28, 2), (38, 1), (5, 4), (31, 14), (18, 15), (19, 6), (23, 21), (4, 31), (19, 25), (29, 18), (2, 13), (1, 35), (31, 0), (11, 15), (22, 35), (11, 0), (7, 24), (10, 9), (1, 10), (21, 6), (4, 23), (21, 10), (30, 4), (8, 1), (12, 16), (30, 16), (2, 23), (17, 12), (2, 34), (22, 32), (22, 25), (18, 24), (30, 0), (36, 5), (9, 30), (24, 25), (31, 27), (33, 25), (26, 22), (5, 8), (31, 31), (12, 27), (4, 27), (20, 0), (37, 8), (19, 0), (18, 29), (35, 26), (21, 33), (22, 17), (34, 15), (23, 11), (20, 16), (12, 2), (37, 12), (26, 14), (8, 15), (9, 7), (25, 27), (37, 3), (10, 24), (15, 8), (15, 33), (22, 6), (4, 5), (38, 21), (29, 1), (11, 1), (16, 3), (12, 4), (9, 29), (38, 6), (22, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 26), (8, 5), (26, 16), (20, 7), (0, 19), (18, 5), (7, 12), (29, 13), (14, 14), (27, 17), (18, 3), (20, 8), (11, 16), (33, 0), (2, 15), (22, 20), (29, 11), (33, 26), (23, 19), (30, 4), (12, 4), (16, 14), (0, 22), (30, 22), (11, 12), (22, 14), (10, 22), (19, 10), (6, 23), (0, 1), (23, 32), (21, 7), (25, 0), (20, 6), (8, 1), (19, 11), (2, 20), (27, 2), (10, 8), (22, 13), (31, 31), (33, 9), (17, 28), (22, 22), (11, 13), (3, 9), (3, 18), (3, 1), (21, 8), (0, 16), (19, 9), (6, 27), (17, 0), (4, 4), (23, 0), (18, 19), (18, 31), (17, 2), (26, 29), (2, 27), (28, 30), (12, 21), (4, 19), (9, 25), (24, 10), (31, 6), (31, 18), (16, 27), (24, 2), (32, 9), (9, 30), (29, 30), (19, 12), (12, 1), (21, 28), (8, 10), (12, 7), (19, 23), (9, 6), (24, 23), (33, 8), (10, 9), (26, 2), (24, 16), (35, 18), (25, 5), (8, 20), (19, 30), (0, 13), (6, 9), (15, 28), (27, 8), (35, 29), (18, 16), (15, 3), (32, 6), (25, 1), (22, 7), (0, 7), (29, 14), (13, 14), (34, 31), (19, 13), (24, 29), (7, 31), (7, 15), (29, 10), (22, 25), (35, 26), (3, 21), (15, 10), (20, 20), (15, 14), (7, 29), (27, 16), (30, 12), (3, 7), (20, 27), (29, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 34x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 31), (23, 6), (28, 22), (31, 36), (4, 27), (33, 22), (26, 18), (28, 7), (17, 25), (9, 34), (30, 24), (23, 25), (29, 0), (11, 6), (24, 13), (33, 18), (8, 19), (19, 1), (24, 14), (19, 9), (9, 30), (12, 23), (8, 6), (10, 20), (2, 19), (32, 18), (10, 0), (26, 32), (30, 9), (32, 21), (29, 14), (30, 0), (3, 31), (20, 34), (13, 8), (9, 21), (29, 17), (4, 13), (5, 3), (29, 22), (2, 36), (28, 34), (10, 19), (27, 2), (18, 18), (12, 1), (0, 7), (15, 31), (10, 11), (9, 33), (24, 3), (19, 22), (12, 27), (33, 28), (6, 20), (5, 8), (1, 5), (27, 26), (18, 0), (15, 0), (1, 23), (14, 1), (15, 34), (12, 31), (25, 23), (12, 34), (15, 3), (26, 27), (18, 7), (27, 1), (4, 32), (30, 5), (24, 30), (22, 23), (27, 21), (14, 9), (20, 28), (0, 17), (0, 26), (28, 16), (20, 16), (6, 22), (18, 9), (2, 7), (10, 26), (23, 5), (14, 8), (20, 32), (29, 21), (29, 5), (28, 20), (8, 32), (11, 16), (28, 33), (29, 2), (28, 11), (23, 16), (17, 1), (5, 20), (8, 7), (3, 22), (31, 19), (16, 12), (4, 15), (21, 6), (3, 26), (5, 13), (19, 28), (3, 21), (15, 35), (25, 36), (32, 29), (33, 13), (30, 34), (19, 36), (22, 34), (19, 30), (15, 17), (29, 1), (1, 33), (28, 18), (27, 7), (10, 6), (23, 0), (13, 27), (33, 0), (19, 10), (8, 31), (0, 9), (0, 6), (26, 30), (26, 25), (3, 15), (14, 14), (3, 34), (0, 8), (20, 9), (22, 15), (18, 13), (21, 4), (3, 14), (14, 13), (9, 26), (17, 28), (12, 7), (11, 7), (10, 34), (24, 8), (17, 32), (10, 29), (28, 10), (15, 15), (20, 8), (6, 1), (10, 18), (30, 22), (9, 25), (30, 2), (25, 15), (3, 11), (32, 17), (25, 35), (4, 4), (29, 16), (13, 17), (23, 21), (17, 12), (27, 9), (14, 35), (32, 5), (9, 17), (14, 34), (20, 0), (25, 25), (29, 23), (14, 15), (16, 27), (6, 34), (18, 5), (16, 15), (18, 16), (3, 29), (24, 17), (29, 9), (1, 31), (11, 27), (5, 36), (25, 1), (29, 12), (31, 4), (23, 4), (9, 31), (21, 13), (11, 28), (3, 28), (7, 6), (11, 14), (4, 22), (29, 26), (15, 13), (25, 24), (7, 35), (5, 9), (24, 9), (22, 35), (5, 30), (25, 17), (7, 10), (25, 8), (20, 25), (3, 24), (1, 17), (20, 6), (32, 22), (32, 15), (6, 16), (20, 18), (20, 36), (3, 3), (12, 17), (21, 28), (18, 22), (2, 9), (16, 8), (8, 22), (19, 26), (27, 15), (16, 3), (25, 27), (16, 33), (2, 3), (31, 21), (11, 32), (13, 10), (24, 16), (12, 15), (17, 36), (5, 6), (29, 27), (15, 16), (21, 10), (25, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 36x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 1), (18, 27), (0, 16), (19, 2), (7, 20), (6, 14), (3, 30), (15, 1), (12, 23), (20, 32), (34, 24), (27, 5), (30, 22), (32, 12), (23, 25), (28, 0), (16, 19), (4, 14), (26, 19), (24, 26), (23, 22), (32, 10), (25, 22), (29, 12), (31, 10), (28, 13), (35, 16), (30, 17), (13, 27), (32, 18), (2, 10), (29, 21), (18, 28), (31, 32), (17, 18), (5, 24), (32, 2), (18, 17), (35, 27), (26, 6), (21, 29), (9, 22), (30, 4), (10, 8), (30, 13), (33, 31), (29, 16), (15, 19), (15, 2), (27, 9), (21, 5), (14, 31), (27, 6), (21, 22), (7, 32), (3, 25), (27, 12), (20, 13), (4, 3), (34, 19), (7, 29), (17, 32), (29, 8), (3, 2), (27, 16), (13, 32), (5, 21), (19, 4), (10, 29), (19, 25), (20, 10), (24, 31), (17, 11), (29, 2), (25, 29), (9, 24), (22, 29), (1, 24), (34, 6), (6, 5), (28, 9), (11, 0), (24, 29), (4, 15), (20, 19), (21, 30), (26, 12), (12, 9), (27, 18), (20, 15), (17, 12), (35, 20), (13, 29), (9, 1), (19, 14), (31, 1), (0, 4), (27, 29), (27, 28), (8, 27), (9, 16), (31, 19), (1, 29), (16, 15), (9, 9), (21, 26), (6, 29), (11, 15), (29, 26), (32, 16), (13, 13), (6, 23), (9, 7), (16, 32), (5, 12), (1, 22), (20, 22), (24, 14), (34, 4), (28, 3), (13, 8), (25, 17), (4, 19), (12, 30), (32, 28), (3, 8), (6, 6), (18, 7), (34, 28), (15, 22), (8, 9), (12, 24), (29, 7), (2, 29), (9, 28), (32, 32), (17, 8), (21, 31), (8, 22), (27, 30), (16, 0), (30, 11), (21, 14), (29, 19), (3, 13), (7, 1), (13, 14), (15, 14), (24, 13), (10, 13), (3, 7), (33, 15), (11, 11), (10, 14), (29, 6), (2, 15), (15, 15), (32, 4), (25, 5), (34, 9), (15, 12), (17, 10), (11, 19), (24, 8), (5, 9), (17, 6), (24, 28), (33, 13), (22, 9), (7, 21), (17, 2), (14, 17), (34, 26), (33, 1), (28, 29), (12, 11), (31, 6), (22, 30), (17, 17), (3, 6), (26, 21), (33, 7), (15, 30), (17, 19), (6, 19), (26, 27), (24, 15), (34, 14), (35, 15), (6, 31), (2, 14), (31, 27), (4, 4), (31, 13), (17, 4), (32, 3), (25, 13), (1, 18), (34, 3), (16, 24), (19, 15), (12, 3), (14, 19), (18, 23), (21, 20), (32, 13), (20, 14), (19, 31), (24, 3), (9, 19), (19, 29), (4, 21), (31, 12), (27, 11), (29, 31), (4, 10), (31, 26), (14, 0), (1, 14), (10, 28), (28, 14), (6, 13), (5, 30), (2, 26), (29, 27), (24, 19), (32, 8), (9, 6), (7, 26), (8, 20), (23, 27), (20, 18), (5, 32), (11, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 17), (0, 5), (3, 4), (22, 27), (3, 5), (20, 4), (28, 21), (30, 13), (0, 28), (5, 19), (31, 11), (11, 18), (10, 9), (16, 7), (25, 32), (36, 23), (0, 14), (11, 0), (10, 25), (20, 17), (16, 11), (32, 9), (21, 21), (8, 8), (13, 4), (37, 25), (3, 9), (11, 28), (37, 1), (29, 12), (19, 27), (12, 32), (20, 32), (23, 24), (27, 29), (4, 21), (31, 18), (19, 29), (8, 23), (17, 4), (13, 25), (5, 13), (2, 28), (7, 0), (16, 17), (22, 6), (37, 36), (25, 27), (18, 6), (9, 31), (20, 3), (37, 11), (0, 9), (35, 4), (18, 28), (1, 15), (24, 26), (0, 12), (16, 0), (14, 9), (13, 19), (15, 28), (23, 3), (34, 36), (35, 0), (23, 25), (0, 22), (3, 1), (18, 5), (6, 25), (10, 32), (5, 6), (3, 17), (4, 9), (30, 17), (21, 33), (22, 1), (11, 20), (7, 26), (19, 5), (37, 24), (13, 21), (6, 12), (21, 28), (18, 4), (24, 31), (21, 8), (3, 22), (15, 12), (11, 3), (33, 19), (24, 30), (34, 18), (4, 10), (24, 24), (34, 3), (3, 34), (23, 18), (8, 26), (30, 8), (1, 7), (9, 25), (29, 31), (25, 34), (25, 30), (37, 13), (37, 27), (12, 8), (0, 16), (8, 11), (9, 14), (20, 37), (19, 11), (35, 30), (17, 27), (28, 36), (0, 11), (7, 34), (25, 28), (17, 32), (24, 16), (33, 26), (2, 16), (26, 12), (18, 27), (32, 23), (17, 13), (11, 7), (25, 10), (35, 11), (32, 16), (19, 7), (29, 5), (9, 23), (16, 16), (15, 7), (33, 23), (25, 7), (30, 29), (12, 9), (8, 19), (37, 5), (31, 14), (6, 20), (31, 15), (23, 15), (19, 23), (33, 22), (15, 3), (12, 19), (4, 7), (13, 14), (37, 6), (20, 10), (27, 17), (25, 22), (30, 28), (1, 36), (18, 31), (2, 34), (18, 36), (0, 32), (5, 35), (35, 26), (18, 18), (2, 30), (37, 21), (23, 13), (14, 5), (22, 14), (4, 30), (7, 19), (23, 12), (33, 6), (3, 3), (0, 24), (17, 9), (29, 25), (34, 6), (35, 31), (32, 18), (12, 22), (8, 35), (0, 25), (1, 6), (11, 22), (30, 0), (1, 3), (7, 21), (27, 25), (2, 3), (28, 4), (16, 4), (20, 0), (5, 21), (20, 9), (32, 29), (1, 13), (14, 17), (33, 29), (36, 15), (15, 36), (15, 2), (34, 31), (15, 23), (17, 19), (24, 11), (3, 27), (10, 18), (7, 3), (18, 2), (8, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 10), (35, 24), (6, 19), (23, 30), (20, 20), (18, 1), (10, 19), (19, 30), (24, 24), (24, 25), (0, 29), (20, 30), (15, 9), (23, 11), (13, 19), (32, 26), (31, 26), (35, 0), (24, 15), (2, 8), (15, 30), (10, 18), (27, 21), (12, 14), (14, 1), (11, 4), (17, 8), (19, 1), (21, 17), (9, 7), (3, 17), (26, 22), (3, 4), (3, 28), (14, 23), (13, 10), (11, 17), (12, 18), (15, 8), (23, 20), (27, 22), (13, 20), (29, 27), (13, 22), (21, 22), (4, 12), (16, 12), (33, 11), (24, 23), (5, 8), (0, 24), (17, 4), (5, 12), (17, 20), (6, 5), (6, 22), (17, 25), (13, 8), (27, 15), (19, 26), (33, 2), (26, 10), (20, 10), (22, 6), (7, 9), (29, 24), (11, 21), (2, 27), (32, 5), (0, 3), (34, 31), (1, 15), (6, 20), (16, 5), (10, 27), (8, 4), (2, 24), (16, 11), (24, 22), (22, 28), (28, 7), (23, 6), (17, 19), (11, 22), (28, 29), (24, 27), (31, 22), (35, 21), (20, 18), (23, 29), (24, 5), (19, 7), (0, 6), (1, 4), (24, 16), (22, 17), (2, 0), (9, 18), (10, 13), (20, 15), (31, 9), (16, 25), (1, 14), (12, 12), (9, 4), (22, 10), (30, 6), (9, 27), (28, 28), (21, 26), (31, 12), (2, 20), (26, 31), (19, 9), (4, 16), (11, 8), (0, 8), (17, 28), (6, 7), (18, 20), (24, 12), (21, 5), (5, 24), (34, 14), (17, 1), (28, 18), (26, 26), (4, 19), (22, 5), (24, 2), (29, 4), (18, 18), (23, 22), (12, 9), (0, 14), (28, 1), (28, 15), (13, 4), (32, 29), (29, 26), (27, 16), (18, 17), (28, 12), (7, 19), (34, 9), (19, 16), (3, 15), (22, 16), (18, 0), (25, 10), (29, 20), (13, 15), (11, 23), (14, 10), (25, 23), (33, 5), (25, 2), (27, 31), (2, 4), (25, 27), (29, 21), (26, 1), (31, 17), (4, 2), (3, 13), (30, 27), (6, 12), (23, 9), (20, 14), (17, 10), (4, 10), (35, 4), (16, 3), (5, 6), (14, 3), (4, 29), (11, 1), (32, 10), (35, 25), (22, 15), (29, 14), (20, 22), (33, 17), (7, 11), (35, 11), (9, 23), (27, 1), (20, 31), (7, 0), (15, 21), (8, 21), (9, 3), (14, 8), (35, 13), (33, 0), (29, 2), (27, 0), (4, 24), (1, 25), (7, 20), (6, 25), (5, 11), (34, 19), (15, 19), (8, 2), (19, 17), (17, 11), (16, 15), (18, 24), (27, 14), (16, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 30), (0, 29), (27, 21), (16, 9), (10, 17), (19, 30), (8, 8), (10, 29), (19, 3), (4, 1), (2, 18), (17, 9), (5, 3), (25, 3), (13, 1), (1, 25), (2, 9), (23, 25), (18, 29), (27, 11), (16, 24), (23, 19), (9, 14), (13, 21), (15, 20), (9, 21), (13, 25), (24, 7), (13, 3), (26, 23), (2, 2), (17, 20), (6, 27), (4, 20), (28, 7), (20, 17), (16, 18), (11, 21), (24, 3), (16, 4), (21, 24), (9, 26), (9, 4), (9, 5), (6, 10), (11, 3), (3, 5), (6, 30), (14, 21), (23, 18), (6, 20), (6, 29), (3, 30), (1, 18), (12, 6), (20, 27), (1, 13), (7, 4), (19, 21), (15, 21), (13, 7), (22, 23), (0, 19), (17, 0), (25, 2), (20, 5), (9, 15), (16, 1), (21, 25), (20, 8), (12, 25), (29, 8), (12, 3), (5, 28), (13, 23), (28, 15), (10, 12), (12, 26), (0, 8), (27, 0), (4, 6), (2, 5), (16, 25), (6, 23), (17, 24), (7, 22), (8, 20), (4, 15), (5, 29), (14, 8), (14, 10), (22, 6), (21, 8), (29, 3), (22, 24), (2, 23), (28, 25), (0, 1), (6, 6), (13, 24), (28, 8), (14, 11), (18, 18), (6, 21), (23, 1), (11, 0), (17, 5), (22, 11), (14, 1), (18, 19), (25, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 18), (0, 8), (24, 19), (32, 28), (15, 20), (13, 0), (18, 4), (23, 29), (15, 27), (35, 18), (23, 24), (23, 0), (25, 22), (12, 22), (4, 22), (19, 11), (16, 35), (14, 6), (2, 28), (35, 31), (7, 15), (13, 18), (18, 6), (11, 27), (7, 25), (20, 16), (34, 22), (4, 2), (16, 6), (31, 1), (4, 4), (14, 29), (11, 1), (14, 19), (25, 0), (11, 10), (18, 27), (28, 16), (34, 16), (6, 32), (30, 31), (5, 21), (14, 26), (16, 18), (31, 30), (33, 23), (8, 25), (4, 24), (12, 15), (30, 19), (35, 26), (15, 19), (15, 7), (33, 12), (5, 18), (30, 13), (33, 35), (3, 22), (13, 25), (30, 35), (27, 26), (5, 14), (36, 7), (4, 25), (35, 15), (10, 21), (24, 26), (11, 30), (0, 33), (35, 3), (24, 1), (18, 18), (20, 1), (16, 13), (37, 3), (14, 9), (9, 20), (32, 34), (35, 12), (6, 7), (30, 21), (10, 5), (18, 30), (6, 31), (26, 4), (28, 3), (13, 22), (28, 12), (22, 14), (33, 20), (10, 11), (1, 8), (24, 21), (24, 13), (13, 10), (10, 34), (22, 18), (34, 31), (28, 11), (17, 33), (19, 6), (27, 23), (9, 28), (33, 34), (24, 0), (19, 19), (17, 27), (2, 8), (24, 30), (12, 23), (28, 24), (26, 21), (8, 34), (26, 3), (33, 33), (8, 33), (18, 10), (23, 26), (20, 5), (12, 1), (29, 13), (9, 32), (22, 22), (20, 34), (16, 30), (4, 10), (35, 35), (3, 7), (25, 21), (2, 11), (15, 35), (26, 0), (22, 3), (34, 14), (16, 31), (8, 4), (13, 26), (1, 5), (20, 6), (31, 9), (15, 31), (22, 35), (27, 3), (3, 0), (16, 5), (16, 23), (20, 8), (16, 9), (6, 17), (17, 2), (10, 6), (34, 32), (34, 6), (14, 1), (8, 17), (27, 15), (23, 16), (20, 23), (30, 8), (24, 34), (27, 9), (29, 7), (17, 17), (26, 9), (9, 34), (17, 22), (13, 4), (8, 28), (3, 24), (13, 21), (6, 5), (34, 29), (10, 1), (25, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 32x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 30), (22, 28), (17, 28), (15, 22), (30, 15), (20, 23), (31, 29), (11, 13), (28, 28), (5, 24), (26, 5), (30, 5), (26, 13), (23, 18), (23, 24), (8, 3), (26, 2), (17, 25), (3, 4), (29, 3), (16, 20), (21, 25), (17, 10), (14, 8), (16, 0), (24, 16), (29, 4), (19, 25), (7, 10), (24, 28), (8, 6), (8, 23), (22, 5), (24, 15), (5, 11), (16, 31), (15, 21), (20, 7), (6, 28), (20, 3), (12, 11), (31, 28), (4, 30), (18, 5), (4, 18), (29, 12), (27, 24), (15, 5), (3, 14), (10, 15), (15, 23), (19, 2), (6, 12), (26, 17), (16, 29), (3, 29), (6, 6), (21, 30), (24, 7), (26, 27), (5, 4), (1, 28), (2, 4), (7, 29), (8, 20), (29, 26), (3, 3), (15, 17), (24, 26), (24, 22), (30, 7), (19, 26), (29, 16), (20, 9), (18, 18), (18, 23), (2, 10), (11, 26), (1, 4), (12, 15), (22, 15), (13, 25), (28, 20), (31, 8), (30, 17), (9, 20), (20, 20), (29, 25), (21, 13), (2, 2), (3, 13), (24, 2), (10, 22), (24, 9), (27, 13), (31, 27), (21, 9), (30, 11), (26, 3), (13, 23), (26, 31), (25, 15), (7, 14), (15, 16), (26, 1), (28, 15), (29, 19), (4, 26), (17, 20), (15, 18), (11, 16), (0, 28), (20, 13), (29, 11), (28, 22), (15, 25), (30, 18), (2, 25), (24, 21), (3, 0), (18, 11), (12, 30), (31, 17), (7, 13), (2, 19), (16, 25), (10, 2), (0, 4), (26, 28), (12, 22), (5, 8), (9, 10), (7, 4), (18, 6), (14, 17), (21, 26), (20, 28), (3, 25), (4, 7), (10, 24), (25, 2), (26, 21), (31, 1), (18, 2), (16, 22), (29, 18), (20, 14), (5, 16), (17, 26), (23, 5), (5, 30), (28, 18), (19, 1), (21, 17), (18, 28), (23, 17), (24, 5), (29, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 26), (14, 14), (5, 15), (25, 3), (14, 4), (14, 2), (4, 1), (13, 7), (2, 0), (29, 34), (16, 33), (17, 18), (0, 11), (4, 0), (17, 12), (13, 16), (16, 34), (24, 25), (9, 11), (25, 33), (10, 32), (30, 14), (4, 3), (23, 12), (4, 17), (28, 34), (8, 0), (22, 4), (8, 19), (20, 2), (20, 3), (8, 37), (13, 15), (28, 17), (1, 1), (28, 14), (28, 11), (12, 27), (25, 26), (22, 38), (19, 13), (7, 22), (14, 21), (2, 31), (32, 17), (3, 14), (6, 30), (19, 31), (3, 9), (21, 36), (21, 30), (29, 12), (19, 9), (8, 3), (30, 28), (30, 17), (3, 10), (21, 17), (20, 16), (29, 0), (15, 30), (14, 33), (21, 26), (4, 25), (5, 14), (4, 4), (17, 26), (16, 26), (8, 31), (12, 30), (11, 17), (9, 31), (17, 23), (10, 8), (14, 5), (3, 36), (31, 5), (30, 15), (15, 13), (32, 14), (0, 16), (18, 19), (24, 27), (29, 5), (31, 28), (18, 6), (22, 20), (5, 18), (22, 6), (9, 19), (29, 19), (13, 19), (17, 17), (12, 18), (5, 17), (29, 18), (29, 9), (22, 33), (18, 26), (18, 4), (24, 32), (18, 5), (9, 0), (15, 18), (1, 30), (9, 3), (17, 8), (10, 1), (32, 6), (25, 35), (1, 19), (18, 22), (11, 38), (25, 36), (26, 31), (4, 5), (7, 38), (18, 32), (19, 5), (26, 34), (9, 12), (19, 14), (19, 34), (12, 24), (4, 24), (29, 33), (20, 33), (3, 8), (6, 14), (12, 34), (22, 24), (14, 26), (20, 13), (23, 20), (1, 31), (2, 17), (2, 4), (4, 10), (15, 38), (1, 2), (17, 6), (20, 4), (24, 33), (0, 29), (20, 18), (11, 26), (29, 36), (11, 12), (28, 19), (27, 17), (16, 22), (13, 33), (2, 18), (15, 26), (26, 9), (24, 28), (3, 4), (24, 17), (31, 20), (15, 29), (15, 5), (21, 11), (16, 20), (25, 34), (23, 28), (28, 28), (15, 28), (8, 29), (22, 18), (10, 6), (7, 21), (22, 12), (0, 38), (27, 8), (8, 12), (9, 10), (23, 2), (5, 35), (30, 27), (14, 1), (1, 17), (10, 23), (0, 22), (15, 35), (0, 37), (21, 18), (10, 12), (10, 13), (13, 31), (29, 7), (21, 14), (20, 11), (10, 28), (22, 10), (2, 25), (9, 6), (31, 15), (8, 4), (0, 23), (0, 4), (14, 23), (6, 21), (31, 2), (31, 33), (12, 2), (28, 33), (9, 17), (6, 10), (10, 4), (19, 17), (27, 28), (30, 7), (23, 23), (23, 18), (14, 37), (3, 12), (24, 34), (22, 28), (10, 29), (25, 15), (12, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 0), (19, 32), (17, 28), (4, 1), (25, 28), (9, 28), (17, 22), (13, 30), (3, 11), (20, 32), (29, 16), (12, 22), (14, 27), (16, 9), (3, 33), (20, 21), (25, 12), (2, 4), (15, 9), (11, 26), (23, 6), (28, 34), (12, 7), (17, 12), (14, 12), (8, 13), (26, 21), (23, 11), (4, 30), (5, 12), (20, 31), (22, 12), (29, 35), (12, 31), (26, 6), (7, 2), (14, 1), (8, 27), (24, 21), (22, 33), (18, 36), (28, 19), (2, 19), (11, 33), (25, 19), (13, 2), (5, 19), (13, 18), (10, 10), (19, 7), (8, 16), (30, 17), (4, 33), (12, 27), (7, 9), (7, 21), (6, 15), (27, 12), (6, 36), (8, 17), (4, 18), (14, 18), (27, 23), (24, 19), (9, 12), (17, 21), (6, 25), (25, 21), (6, 0), (6, 33), (2, 13), (0, 15), (20, 11), (11, 16), (28, 28), (28, 14), (25, 5), (30, 1), (5, 14), (24, 6), (4, 17), (27, 31), (22, 3), (7, 1), (24, 2), (7, 27), (13, 3), (4, 16), (5, 25), (13, 36), (3, 15), (9, 32), (24, 13), (5, 32), (1, 30), (12, 33), (21, 20), (4, 35), (21, 34), (3, 31), (2, 33), (9, 13), (23, 3), (22, 10), (2, 1), (5, 30), (18, 9), (22, 14), (10, 16), (26, 22), (30, 9), (28, 20), (27, 33), (30, 10), (6, 32), (9, 10), (11, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 31x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 14), (15, 23), (4, 5), (15, 22), (29, 15), (10, 23), (26, 15), (23, 19), (9, 25), (4, 15), (22, 19), (8, 10), (16, 27), (22, 7), (17, 2), (29, 10), (4, 27), (19, 22), (11, 19), (19, 14), (11, 20), (26, 30), (15, 2), (5, 4), (23, 15), (10, 30), (16, 25), (21, 3), (8, 18), (3, 25), (19, 17), (20, 20), (14, 29), (11, 4), (29, 24), (23, 25), (13, 15), (21, 26), (0, 5), (14, 10), (12, 14), (29, 11), (14, 7), (7, 15), (21, 9), (2, 7), (29, 18), (18, 3), (11, 14), (2, 17), (20, 29), (13, 2), (1, 21), (23, 11), (26, 29), (27, 24), (14, 21), (3, 10), (26, 23), (1, 26), (21, 20), (6, 26), (17, 23), (18, 24), (11, 6), (18, 19), (4, 24), (6, 4), (30, 0), (23, 3), (22, 10), (9, 19), (0, 6), (26, 27), (3, 29), (13, 10), (25, 10), (23, 29), (9, 6), (8, 3), (24, 7), (24, 26), (12, 29), (24, 12), (8, 7), (16, 29), (24, 4), (3, 5), (5, 1), (19, 21), (15, 13), (0, 16), (29, 3), (8, 2), (10, 25), (6, 16), (7, 25), (20, 16), (30, 17), (16, 16), (10, 18), (3, 3), (4, 23), (16, 14), (17, 14), (5, 17), (21, 17), (27, 17), (29, 29), (6, 12), (25, 7), (15, 30), (4, 21), (7, 16), (8, 4), (7, 5), (9, 14), (15, 28), (12, 17), (28, 29), (9, 5), (17, 27), (20, 21), (11, 3), (30, 13), (6, 13), (15, 27), (2, 24), (25, 18), (5, 12), (16, 21), (23, 18), (12, 13), (26, 5), (26, 17), (13, 22), (16, 10), (7, 0), (21, 15), (20, 18), (21, 22), (27, 6), (13, 29), (22, 3), (16, 6), (0, 11), (23, 30), (27, 11), (15, 7), (30, 19), (4, 6), (12, 3), (26, 9), (13, 0), (16, 17), (28, 20), (8, 23), (27, 0), (11, 26), (0, 14), (10, 28), (15, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 30), (13, 21), (0, 8), (1, 32), (0, 25), (9, 17), (18, 11), (19, 3), (21, 11), (28, 18), (16, 23), (18, 31), (14, 19), (12, 6), (27, 8), (15, 10), (17, 22), (25, 5), (21, 31), (8, 30), (15, 25), (28, 15), (4, 11), (26, 30), (25, 19), (10, 2), (28, 2), (28, 32), (21, 26), (14, 8), (16, 13), (0, 3), (27, 26), (10, 20), (29, 17), (6, 13), (12, 3), (4, 21), (7, 16), (27, 27), (6, 21), (12, 13), (16, 16), (6, 0), (13, 26), (18, 15), (16, 30), (10, 15), (30, 29), (29, 27), (21, 14), (14, 24), (18, 12), (3, 13), (30, 18), (29, 6), (21, 23), (5, 10), (26, 2), (3, 7), (5, 3), (4, 0), (28, 11), (4, 2), (26, 0), (9, 28), (26, 3), (23, 10), (16, 32), (3, 25), (29, 28), (25, 11), (6, 14), (2, 9), (16, 28), (24, 7), (23, 30), (19, 24), (18, 21), (0, 11), (3, 27), (13, 25), (22, 30), (9, 29), (0, 10), (1, 12), (28, 25), (3, 14), (22, 14), (21, 30), (3, 23), (4, 10), (20, 22), (1, 26), (19, 15), (12, 14), (28, 6), (28, 23), (6, 4), (21, 0), (18, 29), (3, 4), (14, 13), (8, 0), (0, 18), (3, 30), (22, 26), (26, 20), (15, 24), (25, 2), (4, 6), (4, 30), (8, 27), (9, 12), (3, 11), (10, 28), (30, 12), (17, 26), (25, 3), (12, 25), (7, 10), (21, 13), (11, 31), (23, 17), (13, 3), (16, 25), (12, 22), (11, 23), (18, 23), (23, 22), (6, 7), (5, 14), (17, 19), (23, 8), (23, 11), (2, 22), (12, 12), (13, 5), (14, 31), (20, 24), (21, 5), (10, 1), (24, 0), (12, 1), (19, 11), (2, 31), (25, 25), (16, 29), (12, 16), (5, 31), (22, 8), (18, 4), (11, 29), (29, 23), (20, 9), (5, 22), (10, 30), (26, 7), (16, 7), (21, 18), (14, 28), (4, 24), (1, 0), (21, 4), (25, 31), (8, 11), (8, 24), (28, 9), (28, 27), (4, 12), (17, 32), (1, 19), (4, 15), (19, 32), (3, 26), (10, 25), (29, 8), (23, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 37x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 25), (6, 10), (16, 17), (25, 28), (29, 10), (36, 25), (30, 5), (25, 22), (31, 17), (0, 8), (18, 6), (14, 21), (15, 29), (16, 8), (17, 28), (4, 21), (14, 2), (2, 14), (8, 9), (23, 0), (15, 7), (3, 23), (1, 26), (30, 20), (30, 7), (19, 29), (0, 30), (4, 32), (36, 28), (11, 15), (0, 26), (17, 6), (19, 6), (25, 18), (11, 7), (10, 9), (16, 4), (1, 35), (26, 8), (18, 11), (21, 0), (32, 23), (1, 13), (25, 23), (14, 22), (27, 20), (22, 19), (6, 11), (33, 27), (4, 11), (3, 19), (31, 14), (30, 4), (34, 8), (23, 26), (3, 20), (10, 15), (30, 21), (34, 33), (28, 10), (11, 0), (21, 11), (33, 18), (29, 5), (34, 2), (15, 8), (6, 29), (23, 15), (36, 34), (2, 33), (16, 29), (27, 33), (33, 5), (36, 0), (35, 24), (18, 35), (12, 4), (19, 11), (19, 34), (7, 32), (28, 16), (22, 9), (6, 1), (12, 27), (12, 0), (28, 18), (1, 4), (17, 17), (16, 21), (30, 18), (9, 31), (17, 19), (28, 30), (16, 2), (10, 33), (12, 18), (33, 20), (19, 15), (7, 13), (27, 34), (11, 20), (31, 3), (30, 35), (26, 1), (21, 14), (30, 6), (34, 28), (9, 25), (18, 8), (7, 30), (32, 32), (9, 16), (22, 23), (24, 0), (11, 6), (7, 11), (34, 22), (33, 9), (22, 32), (8, 25), (7, 4), (29, 11), (4, 13), (9, 0), (20, 10), (22, 12), (24, 20), (17, 20), (17, 10), (7, 5), (23, 10), (31, 16), (10, 11), (35, 0), (13, 0), (25, 33), (28, 4), (23, 20), (2, 9), (23, 5), (26, 20), (11, 17), (25, 4), (10, 4), (2, 16), (29, 27), (20, 13), (28, 2), (24, 6), (13, 5), (3, 12), (6, 18), (0, 34), (32, 6), (22, 33), (33, 0), (14, 23), (1, 12), (17, 30), (28, 8), (5, 17), (18, 28), (18, 9), (18, 16), (35, 8), (23, 17), (15, 0), (6, 8), (25, 32), (14, 18), (14, 9), (6, 35), (29, 33), (18, 5), (34, 4), (25, 24), (16, 6), (8, 11), (22, 5), (33, 22), (26, 7), (25, 7), (21, 12), (9, 22), (0, 10), (14, 16), (14, 15), (5, 31), (21, 34), (15, 31), (5, 21), (26, 14), (10, 12), (20, 34), (9, 33), (12, 10), (18, 14), (6, 31), (2, 34), (11, 30), (25, 9), (14, 26), (9, 32), (36, 33), (36, 14), (30, 25), (5, 4), (23, 4), (16, 25), (5, 25), (21, 21), (10, 27), (22, 7), (21, 24), (13, 32), (15, 1), (12, 19), (18, 12), (30, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 33), (5, 1), (34, 16), (20, 13), (10, 3), (32, 12), (18, 10), (25, 18), (0, 13), (19, 32), (23, 29), (35, 29), (13, 18), (2, 27), (0, 35), (5, 24), (22, 23), (9, 19), (34, 30), (14, 13), (18, 34), (15, 11), (5, 17), (34, 28), (23, 8), (11, 10), (2, 36), (7, 0), (6, 8), (18, 5), (33, 23), (32, 24), (1, 13), (37, 23), (7, 33), (22, 6), (30, 24), (22, 22), (16, 7), (35, 2), (24, 20), (26, 9), (37, 31), (1, 8), (37, 21), (24, 4), (3, 19), (14, 2), (2, 18), (21, 29), (22, 9), (25, 14), (9, 5), (32, 4), (8, 7), (5, 34), (16, 24), (1, 19), (28, 12), (17, 0), (14, 1), (16, 35), (17, 17), (24, 30), (4, 12), (19, 33), (17, 12), (17, 29), (29, 27), (37, 5), (23, 13), (8, 8), (26, 2), (18, 31), (0, 37), (33, 26), (30, 22), (23, 33), (20, 18), (36, 15), (23, 17), (9, 36), (6, 3), (15, 22), (11, 32), (22, 5), (1, 7), (18, 21), (2, 13), (23, 32), (1, 25), (8, 4), (32, 6), (33, 33), (20, 33), (5, 6), (21, 2), (37, 18), (22, 14), (15, 35), (21, 15), (36, 37), (36, 30), (23, 3), (31, 5), (13, 32), (19, 6), (37, 10), (13, 12), (18, 11), (17, 21), (4, 1), (26, 32), (6, 7), (14, 9), (20, 26), (0, 32), (37, 17), (26, 36), (37, 3), (23, 10), (16, 4), (33, 32), (28, 4), (17, 28), (27, 10), (14, 12), (35, 12), (8, 34), (28, 21), (15, 2), (27, 13), (29, 12), (8, 12), (1, 36), (24, 22), (0, 28), (3, 3), (3, 14), (8, 32), (14, 35), (27, 20), (17, 8), (7, 23), (0, 20), (6, 21), (3, 24), (4, 33), (26, 0), (24, 27), (30, 8), (36, 18), (19, 15), (21, 19), (31, 24), (25, 9), (0, 31), (20, 23), (6, 33), (25, 3), (26, 22), (26, 19), (36, 12), (37, 27), (20, 19), (16, 5), (30, 27), (9, 7), (12, 37), (2, 26), (16, 10), (35, 28), (26, 18), (5, 4), (7, 27), (2, 34), (20, 21), (12, 32), (9, 6), (0, 29), (30, 14), (25, 36), (30, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 14), (27, 17), (18, 22), (23, 1), (27, 19), (7, 17), (11, 2), (25, 10), (8, 28), (7, 20), (22, 18), (23, 15), (17, 19), (23, 6), (29, 26), (0, 19), (25, 29), (8, 24), (22, 8), (10, 3), (13, 12), (28, 17), (21, 16), (31, 25), (5, 2), (24, 4), (28, 0), (6, 11), (12, 5), (25, 11), (9, 10), (14, 23), (4, 13), (4, 23), (2, 11), (28, 9), (26, 16), (1, 12), (17, 26), (15, 10), (7, 25), (30, 3), (26, 19), (29, 3), (28, 1), (19, 1), (12, 22), (29, 23), (19, 14), (13, 17), (7, 0), (12, 14), (31, 20), (22, 17), (20, 24), (15, 3), (1, 22), (23, 0), (16, 14), (9, 0), (7, 10), (14, 5), (7, 18), (20, 29), (23, 19), (18, 5), (25, 22), (14, 6), (27, 10), (21, 18), (16, 23), (3, 29), (5, 6), (12, 27), (5, 14), (17, 0), (5, 3), (30, 12), (22, 0), (29, 21), (14, 12), (23, 3), (22, 10), (5, 21), (16, 16), (26, 22), (25, 20), (7, 9), (8, 16), (8, 19), (14, 11), (1, 3), (18, 2), (23, 11), (15, 17), (29, 19), (26, 29), (12, 20), (26, 28), (2, 10), (21, 21), (30, 17), (9, 8), (10, 11), (14, 26), (27, 9), (5, 17), (11, 7), (22, 26), (25, 4), (23, 25), (23, 20), (17, 2), (23, 14), (13, 29), (1, 8), (19, 25), (30, 21), (14, 29), (9, 1), (14, 7), (25, 17), (0, 23), (15, 29), (17, 7), (29, 4), (15, 11), (16, 8), (7, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 15), (1, 30), (11, 21), (2, 24), (16, 25), (12, 30), (25, 22), (5, 29), (19, 11), (17, 24), (3, 11), (3, 25), (24, 1), (23, 25), (6, 24), (8, 25), (22, 14), (14, 21), (1, 4), (11, 5), (19, 16), (7, 16), (16, 1), (17, 28), (8, 15), (22, 6), (19, 3), (29, 19), (4, 5), (18, 14), (0, 16), (15, 1), (18, 8), (8, 2), (21, 27), (2, 7), (8, 20), (23, 23), (20, 27), (14, 0), (10, 23), (12, 19), (1, 14), (6, 2), (13, 25), (21, 16), (10, 13), (28, 1), (16, 2), (7, 20), (12, 5), (9, 3), (24, 29), (14, 22), (20, 19), (20, 9), (15, 10), (4, 12), (5, 4), (26, 1), (5, 20), (1, 20), (1, 29), (9, 18), (26, 27), (7, 10), (27, 18), (8, 21), (26, 12), (19, 0), (8, 7), (15, 0), (17, 8), (2, 8), (2, 3), (24, 24), (16, 12), (20, 8), (20, 10), (26, 2), (22, 1), (22, 23), (26, 5), (16, 28), (21, 4), (17, 13), (26, 7), (21, 21), (13, 13), (12, 3), (16, 13), (14, 3), (22, 26), (29, 5), (4, 1), (26, 16), (27, 24), (11, 8), (5, 25), (9, 12), (24, 10), (26, 8), (18, 4), (22, 11), (10, 16), (0, 19), (10, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 37x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 26), (20, 25), (11, 14), (22, 14), (24, 20), (16, 4), (1, 15), (13, 21), (21, 30), (33, 13), (15, 7), (26, 26), (16, 29), (29, 0), (34, 5), (21, 29), (14, 6), (11, 5), (33, 25), (6, 15), (13, 28), (2, 24), (33, 22), (18, 7), (1, 5), (31, 27), (27, 16), (26, 13), (17, 13), (24, 10), (10, 24), (30, 13), (32, 19), (25, 16), (25, 17), (21, 0), (3, 17), (29, 11), (3, 0), (31, 2), (30, 15), (25, 28), (16, 7), (31, 12), (16, 24), (21, 28), (12, 27), (11, 6), (29, 25), (15, 20), (25, 10), (14, 13), (5, 24), (17, 20), (10, 20), (10, 2), (14, 29), (28, 6), (8, 8), (6, 21), (2, 25), (10, 15), (5, 25), (21, 6), (27, 26), (0, 30), (4, 21), (24, 19), (10, 8), (9, 2), (27, 19), (15, 10), (1, 9), (13, 26), (16, 5), (11, 18), (27, 0), (20, 17), (11, 28), (2, 3), (8, 21), (33, 1), (3, 21), (24, 28), (13, 29), (32, 29), (22, 10), (13, 3), (30, 28), (1, 23), (35, 16), (8, 30), (9, 15), (12, 6), (35, 9), (17, 23), (1, 30), (18, 2), (18, 1), (19, 23), (11, 29), (8, 15), (34, 16), (34, 28), (27, 4), (12, 12), (32, 2), (15, 6), (32, 18), (11, 10), (0, 25), (3, 23), (18, 21), (33, 29), (10, 7), (26, 3), (26, 17), (15, 1), (25, 29), (35, 18), (0, 1), (1, 3), (29, 5), (9, 12), (30, 24), (11, 9), (18, 9), (13, 7), (28, 23), (31, 22), (15, 8), (16, 23), (35, 22), (32, 24), (1, 27), (18, 5), (32, 0), (17, 10), (7, 9), (35, 23), (8, 28), (10, 21), (6, 7), (9, 3), (20, 7), (29, 30), (31, 1), (7, 29), (20, 8), (16, 22), (15, 16), (27, 14), (23, 13), (24, 18), (15, 4), (34, 14), (4, 8), (36, 0), (21, 12), (2, 16), (20, 3), (21, 8), (23, 28), (23, 1), (6, 8), (10, 0), (20, 23), (4, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 16), (9, 7), (33, 33), (10, 23), (24, 31), (15, 27), (20, 8), (34, 18), (13, 2), (20, 21), (17, 25), (2, 13), (14, 12), (22, 5), (35, 14), (34, 36), (34, 19), (26, 31), (6, 36), (15, 12), (25, 25), (24, 33), (2, 17), (26, 20), (38, 3), (3, 15), (18, 14), (35, 31), (14, 32), (13, 9), (21, 12), (26, 14), (23, 35), (7, 34), (14, 8), (22, 34), (38, 26), (17, 16), (7, 29), (15, 23), (35, 26), (31, 10), (9, 9), (20, 9), (2, 20), (32, 16), (7, 22), (27, 29), (22, 32), (4, 14), (10, 22), (13, 26), (24, 18), (28, 18), (37, 15), (21, 26), (13, 7), (34, 13), (35, 32), (18, 35), (22, 2), (33, 8), (15, 2), (36, 19), (26, 26), (30, 0), (14, 16), (13, 13), (27, 36), (6, 23), (3, 27), (38, 28), (4, 30), (0, 4), (3, 24), (8, 34), (34, 9), (25, 30), (35, 2), (2, 2), (22, 0), (25, 11), (5, 22), (12, 30), (30, 34), (21, 27), (38, 6), (13, 21), (9, 3), (31, 4), (12, 15), (10, 36), (25, 20), (36, 13), (24, 11), (11, 32), (14, 17), (11, 1), (9, 23), (37, 20), (1, 33), (31, 25), (9, 12), (14, 19), (27, 6), (38, 31), (11, 11), (37, 22), (4, 24), (27, 3), (10, 30), (21, 0), (35, 20), (3, 2), (23, 24), (11, 14), (22, 24), (14, 33), (26, 33), (33, 25), (21, 7), (5, 17), (4, 3), (0, 25), (2, 8), (11, 3), (25, 22), (37, 3), (24, 28), (38, 24), (38, 10), (1, 20), (29, 15), (27, 24), (23, 27), (6, 17), (10, 12), (18, 16), (3, 12), (22, 3), (24, 10), (11, 8), (36, 24), (8, 19), (24, 1), (33, 32), (17, 26), (4, 7), (5, 24), (10, 10), (32, 25), (21, 4), (2, 36), (37, 32), (1, 17), (12, 9), (30, 2), (11, 12), (24, 35), (23, 11), (31, 1), (11, 19), (13, 34), (26, 8), (36, 0), (16, 27), (6, 16), (10, 28), (8, 13), (16, 15), (19, 30), (31, 32), (9, 17), (8, 23), (14, 0), (34, 23), (33, 30), (14, 3), (26, 35), (8, 3), (5, 16), (28, 29), (16, 3), (12, 21), (23, 3), (0, 33), (36, 6), (3, 32), (16, 36), (27, 9), (16, 0), (2, 23), (36, 9), (22, 36), (5, 36), (12, 12), (27, 33), (28, 4), (37, 1), (13, 27), (22, 31), (26, 13), (23, 33), (1, 5), (16, 14), (35, 18), (20, 11), (17, 18), (7, 4), (6, 14), (36, 23), (7, 3), (20, 4), (11, 5), (24, 36), (8, 8), (24, 3), (10, 13), (19, 33), (12, 31), (21, 24), (28, 0), (28, 11), (2, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 21), (34, 20), (19, 19), (27, 3), (24, 23), (12, 25), (31, 28), (18, 3), (19, 9), (18, 20), (8, 5), (15, 19), (35, 10), (15, 5), (9, 16), (20, 6), (9, 6), (6, 20), (11, 25), (12, 23), (32, 9), (6, 28), (0, 17), (3, 12), (8, 13), (10, 6), (7, 1), (23, 12), (2, 21), (3, 11), (22, 25), (32, 21), (11, 8), (2, 11), (9, 15), (30, 27), (36, 27), (13, 25), (9, 24), (10, 5), (37, 15), (32, 18), (0, 14), (13, 6), (33, 9), (22, 22), (28, 24), (6, 12), (16, 8), (37, 20), (27, 15), (5, 10), (34, 29), (7, 0), (3, 0), (16, 29), (13, 18), (31, 9), (12, 26), (34, 25), (17, 15), (26, 15), (18, 7), (4, 23), (14, 6), (15, 8), (27, 20), (17, 8), (0, 4), (8, 19), (22, 23), (30, 16), (33, 21), (28, 1), (20, 29), (32, 11), (8, 23), (38, 14), (11, 16), (23, 20), (12, 17), (14, 14), (11, 27), (38, 26), (38, 27), (0, 22), (19, 14), (17, 25), (0, 27), (19, 5), (23, 9), (37, 8), (33, 16), (2, 20), (12, 3), (7, 14), (30, 4), (2, 17), (25, 16), (4, 26), (20, 19), (13, 13), (37, 23), (17, 16), (25, 5), (25, 15), (23, 19), (13, 28), (8, 27), (14, 1), (16, 15), (28, 18), (1, 27), (32, 7), (15, 20), (26, 26), (2, 16), (14, 17), (35, 3), (25, 0), (13, 16), (33, 0), (0, 24), (2, 0), (25, 17), (3, 3), (28, 5), (20, 2), (30, 15), (27, 25), (24, 26), (15, 22), (29, 0), (1, 7), (20, 15), (10, 20), (36, 25), (20, 26), (0, 12), (0, 5), (8, 25), (14, 5), (2, 3), (38, 3), (30, 13), (5, 1), (16, 12), (12, 22), (34, 16), (24, 16), (38, 1), (38, 11), (5, 16), (4, 6), (10, 22), (7, 29), (2, 24), (36, 13), (25, 11), (6, 0), (7, 17), (31, 2), (11, 14), (2, 26), (34, 11), (26, 29), (20, 18), (31, 10), (4, 10), (13, 5), (24, 10), (28, 22), (17, 17), (23, 25), (15, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 3), (7, 20), (12, 3), (28, 18), (27, 11), (11, 22), (10, 28), (9, 3), (17, 2), (1, 14), (18, 23), (1, 29), (3, 28), (11, 27), (17, 11), (13, 14), (3, 1), (29, 29), (26, 24), (3, 3), (21, 8), (16, 23), (28, 28), (4, 17), (24, 0), (22, 6), (20, 14), (22, 11), (15, 11), (13, 20), (24, 13), (25, 13), (2, 15), (16, 25), (2, 3), (22, 0), (9, 30), (7, 13), (24, 18), (12, 7), (12, 0), (26, 1), (12, 12), (20, 29), (0, 2), (7, 10), (7, 16), (12, 16), (14, 5), (30, 27), (23, 22), (7, 4), (21, 0), (30, 9), (19, 11), (21, 25), (25, 28), (13, 19), (14, 27), (16, 17), (0, 26), (20, 22), (20, 16), (17, 5), (6, 16), (6, 18), (28, 21), (22, 27), (13, 3), (20, 1), (8, 22), (21, 16), (12, 6), (6, 14), (5, 30), (6, 7), (4, 24), (13, 4), (28, 2), (22, 25), (1, 27), (17, 30), (14, 9), (2, 18), (1, 8), (20, 18), (5, 11), (25, 14), (28, 14), (20, 27), (26, 26), (15, 6), (26, 21), (28, 7), (19, 22), (21, 17), (20, 3), (10, 7), (4, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 33), (10, 23), (9, 12), (6, 17), (28, 25), (28, 7), (29, 22), (3, 3), (8, 14), (17, 14), (10, 11), (20, 29), (12, 26), (0, 32), (21, 26), (20, 17), (20, 24), (5, 25), (21, 9), (0, 26), (13, 10), (25, 28), (6, 14), (26, 6), (27, 19), (9, 6), (20, 28), (2, 5), (10, 18), (11, 33), (17, 11), (11, 13), (29, 23), (16, 26), (17, 33), (3, 1), (18, 3), (18, 19), (26, 33), (19, 33), (14, 10), (10, 33), (24, 16), (19, 25), (21, 33), (12, 6), (21, 14), (6, 3), (27, 7), (0, 14), (20, 12), (17, 23), (12, 20), (28, 22), (2, 30), (14, 32), (20, 19), (2, 4), (0, 17), (28, 14), (13, 18), (20, 1), (20, 33), (21, 23), (19, 15), (26, 1), (29, 30), (27, 0), (12, 28), (11, 30), (6, 8), (3, 32), (24, 9), (8, 24), (14, 20), (21, 32), (26, 14), (12, 3), (12, 32), (5, 15), (21, 10), (2, 21), (15, 7), (3, 5), (18, 0), (21, 21), (4, 27), (9, 2), (28, 2), (25, 11), (18, 28), (6, 25), (11, 23), (23, 33), (3, 20), (27, 28), (10, 0), (2, 10), (24, 2), (14, 28), (6, 26), (10, 3), (20, 3), (29, 10), (8, 9), (21, 19), (13, 33), (7, 5), (16, 15), (11, 8), (18, 7), (6, 30), (10, 12), (1, 16), (4, 32), (9, 23), (19, 5), (10, 25), (8, 7), (23, 26), (18, 17), (8, 11), (10, 7), (6, 31), (25, 8), (16, 2), (20, 11), (19, 16), (25, 15), (15, 19), (17, 27), (22, 15), (9, 21), (23, 11), (25, 22), (18, 13), (16, 23), (22, 19), (4, 4), (15, 23), (13, 21), (12, 27), (26, 32), (23, 2), (21, 7), (18, 5), (13, 4), (11, 7), (27, 1), (20, 21), (26, 8), (14, 21), (17, 5), (9, 15), (11, 16), (22, 28), (27, 8), (28, 13), (12, 11), (3, 11), (9, 3), (19, 22), (2, 3), (26, 3), (5, 17), (12, 7), (12, 17), (28, 11), (1, 23), (2, 28), (8, 5), (16, 33), (27, 10), (18, 14), (7, 16), (17, 12), (17, 25), (19, 6), (5, 14), (25, 20), (15, 28), (11, 9), (8, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 24), (20, 24), (14, 14), (27, 18), (22, 16), (15, 32), (11, 23), (27, 23), (20, 0), (2, 24), (13, 12), (23, 14), (17, 35), (14, 6), (19, 37), (15, 26), (27, 21), (25, 35), (21, 35), (16, 10), (19, 25), (27, 3), (22, 37), (20, 20), (18, 18), (2, 10), (20, 1), (12, 21), (2, 20), (26, 0), (24, 26), (1, 18), (29, 29), (17, 20), (7, 8), (0, 3), (5, 31), (27, 20), (5, 22), (19, 32), (11, 13), (26, 1), (18, 3), (26, 23), (23, 2), (16, 7), (16, 21), (20, 29), (21, 16), (21, 24), (6, 30), (25, 37), (28, 22), (25, 4), (22, 36), (23, 17), (15, 7), (0, 11), (8, 0), (15, 16), (11, 34), (24, 17), (11, 19), (20, 25), (24, 25), (26, 37), (27, 15), (27, 19), (0, 33), (28, 0), (18, 33), (29, 3), (10, 0), (5, 32), (12, 34), (0, 15), (0, 27), (26, 5), (24, 9), (8, 15), (13, 7), (22, 20), (7, 36), (28, 34), (2, 30), (19, 11), (28, 29), (28, 15), (6, 19), (24, 32), (24, 33), (11, 0), (9, 12), (6, 29), (8, 18), (5, 37), (12, 28), (28, 3), (13, 16), (6, 31), (27, 22), (1, 2), (23, 29), (11, 35), (22, 32), (2, 7), (7, 10), (4, 32), (21, 37), (13, 27), (10, 38), (13, 3), (22, 38), (28, 20), (14, 22), (8, 16), (18, 6), (6, 14), (9, 13), (4, 18), (13, 1), (25, 38), (24, 28), (9, 33), (29, 36), (20, 36), (10, 2), (28, 32), (18, 19), (24, 18), (8, 37), (4, 29), (6, 13), (3, 31), (13, 23), (10, 7), (17, 3), (0, 20), (9, 7), (17, 8), (17, 31), (1, 34), (7, 19), (10, 30), (28, 38), (0, 17), (3, 35), (5, 30), (2, 3), (12, 23), (3, 29), (22, 27), (21, 27), (11, 11), (21, 15), (17, 6), (8, 29), (17, 0), (3, 15), (3, 38), (6, 6), (15, 28), (10, 31), (6, 12), (15, 13), (20, 21), (16, 19), (22, 26), (16, 1), (16, 0), (29, 16), (12, 4), (14, 1), (10, 35), (3, 18), (1, 8), (8, 21), (1, 35), (21, 10), (16, 34), (14, 30), (9, 29), (18, 12), (25, 34), (3, 19), (20, 9), (13, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 16), (28, 33), (6, 3), (16, 26), (11, 8), (27, 18), (29, 18), (29, 6), (14, 15), (34, 16), (5, 23), (15, 32), (11, 22), (32, 36), (2, 32), (33, 4), (8, 10), (21, 21), (29, 26), (2, 0), (33, 3), (3, 12), (28, 0), (4, 30), (36, 8), (26, 18), (12, 19), (26, 22), (24, 29), (25, 18), (36, 19), (34, 8), (20, 3), (13, 25), (4, 15), (33, 0), (28, 29), (17, 34), (24, 7), (20, 6), (7, 8), (19, 18), (32, 32), (13, 0), (11, 15), (20, 34), (0, 6), (19, 19), (25, 4), (25, 21), (26, 31), (13, 14), (34, 7), (3, 24), (10, 18), (25, 30), (22, 20), (3, 30), (28, 27), (29, 4), (12, 8), (1, 0), (33, 17), (19, 2), (13, 22), (12, 2), (21, 34), (30, 22), (21, 11), (10, 19), (26, 2), (11, 27), (17, 11), (30, 20), (28, 21), (16, 11), (27, 10), (25, 36), (38, 8), (3, 32), (9, 15), (23, 10), (22, 9), (4, 18), (24, 3), (6, 31), (30, 6), (27, 36), (35, 22), (32, 7), (24, 24), (4, 28), (4, 32), (23, 33), (0, 33), (33, 26), (6, 14), (11, 7), (3, 29), (30, 25), (14, 5), (26, 24), (17, 0), (6, 20), (23, 20), (26, 33), (20, 16), (13, 35), (38, 6), (22, 30), (2, 29), (19, 14), (35, 34), (27, 28), (32, 0), (38, 11), (5, 3), (27, 2), (31, 10), (6, 12), (26, 23), (27, 13), (24, 20), (3, 8), (17, 35), (25, 22), (10, 17), (15, 31), (12, 14), (22, 3), (0, 3), (19, 31), (32, 4), (1, 29), (24, 15), (36, 10), (21, 17), (31, 4), (12, 0), (21, 26), (37, 10), (16, 28), (31, 5), (25, 15), (22, 5), (35, 17), (22, 29), (35, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 22), (15, 28), (3, 11), (27, 24), (13, 2), (9, 29), (5, 34), (33, 27), (34, 18), (32, 6), (32, 30), (7, 23), (1, 19), (16, 0), (29, 28), (19, 0), (25, 32), (14, 6), (27, 5), (25, 5), (32, 25), (5, 9), (20, 9), (15, 27), (31, 29), (11, 9), (22, 2), (30, 2), (2, 27), (29, 2), (10, 21), (31, 31), (30, 10), (5, 21), (27, 25), (3, 8), (10, 34), (3, 24), (6, 7), (8, 27), (23, 1), (14, 7), (14, 5), (12, 19), (32, 34), (9, 0), (11, 8), (29, 34), (14, 26), (14, 21), (31, 17), (8, 14), (23, 31), (6, 25), (33, 29), (25, 1), (22, 16), (12, 13), (3, 30), (23, 14), (21, 17), (18, 7), (11, 22), (18, 28), (3, 16), (8, 32), (12, 9), (3, 29), (5, 27), (13, 7), (25, 13), (0, 2), (0, 30), (32, 20), (32, 7), (18, 22), (16, 24), (21, 7), (27, 0), (8, 6), (19, 29), (11, 25), (10, 25), (16, 21), (22, 24), (2, 23), (7, 5), (5, 13), (13, 18), (6, 12), (1, 30), (28, 7), (27, 14), (15, 13), (2, 8), (23, 7), (29, 11), (26, 1), (25, 19), (14, 2), (17, 20), (22, 22), (33, 20), (13, 9), (5, 11), (28, 19), (3, 27), (11, 28), (32, 9), (21, 11), (22, 12), (7, 15), (2, 30), (4, 2), (25, 24), (25, 23), (15, 18), (22, 10), (17, 4), (18, 10), (4, 13), (29, 10), (17, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 3), (28, 1), (30, 36), (29, 17), (20, 23), (0, 23), (26, 11), (3, 11), (26, 3), (14, 34), (16, 5), (8, 25), (8, 6), (17, 18), (11, 26), (10, 13), (20, 4), (29, 20), (14, 7), (21, 9), (28, 0), (2, 24), (9, 12), (11, 28), (16, 9), (15, 7), (2, 6), (10, 3), (4, 12), (1, 31), (28, 27), (3, 13), (8, 5), (17, 10), (16, 33), (1, 28), (23, 20), (28, 16), (31, 21), (7, 4), (22, 15), (31, 7), (2, 33), (20, 0), (0, 31), (14, 23), (19, 15), (0, 16), (17, 32), (1, 13), (13, 30), (5, 18), (7, 23), (22, 25), (10, 5), (9, 6), (8, 18), (27, 15), (5, 36), (19, 2), (3, 25), (0, 3), (15, 15), (5, 14), (18, 0), (3, 28), (14, 10), (21, 4), (13, 32), (19, 5), (18, 11), (11, 5), (5, 21), (8, 16), (5, 31), (24, 0), (25, 8), (2, 19), (21, 28), (14, 15), (28, 9), (5, 33), (17, 12), (11, 27), (19, 26), (4, 34), (3, 8), (4, 35), (2, 14), (27, 23), (1, 0), (21, 7), (32, 5), (8, 3), (12, 34), (15, 24), (24, 10), (22, 16), (5, 29), (21, 17), (3, 9), (32, 33), (17, 24), (18, 17), (31, 36), (15, 13), (19, 34), (27, 35), (32, 32), (27, 16), (29, 6), (6, 30), (15, 14), (27, 31), (29, 5), (17, 17), (11, 19), (20, 25), (14, 25), (25, 3), (14, 30), (8, 4), (7, 35), (27, 0), (25, 10), (27, 18), (32, 4), (3, 32), (9, 1), (23, 31), (8, 23), (32, 14), (11, 16), (0, 22), (32, 10), (9, 31), (13, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 6), (6, 12), (26, 20), (11, 6), (0, 4), (9, 5), (7, 28), (9, 1), (8, 26), (29, 4), (2, 1), (5, 3), (24, 23), (0, 2), (18, 12), (15, 20), (17, 25), (25, 5), (3, 13), (16, 29), (1, 27), (12, 5), (19, 12), (30, 25), (1, 5), (15, 7), (29, 24), (20, 26), (1, 20), (28, 13), (8, 29), (26, 15), (24, 7), (11, 16), (7, 4), (20, 28), (23, 10), (8, 20), (25, 22), (0, 29), (20, 15), (30, 2), (21, 29), (13, 28), (19, 23), (5, 25), (15, 29), (10, 25), (27, 20), (16, 27), (13, 22), (20, 23), (22, 7), (20, 20), (8, 10), (4, 6), (22, 14), (14, 22), (25, 16), (16, 17), (13, 15), (7, 26), (14, 26), (29, 10), (16, 0), (3, 12), (20, 27), (12, 2), (25, 26), (23, 27), (20, 10), (12, 13), (1, 24), (29, 22), (9, 20), (13, 0), (17, 22), (1, 7), (5, 0), (7, 3), (8, 13), (22, 2), (18, 25), (2, 18), (10, 7), (19, 28), (4, 10), (12, 1), (18, 13), (13, 24), (5, 23), (22, 11), (21, 1), (29, 16), (12, 20), (27, 2), (1, 14), (4, 13), (4, 17), (6, 20), (4, 3), (9, 10), (1, 23), (3, 1), (24, 5), (0, 16), (26, 28), (16, 1), (19, 25), (20, 6), (25, 1), (3, 21), (4, 24), (5, 1), (30, 11), (18, 7), (14, 13), (1, 6), (19, 18), (7, 19), (25, 6), (17, 19), (27, 18), (9, 27), (2, 5), (7, 11), (25, 24), (1, 25), (21, 26), (15, 12), (3, 8), (23, 14), (16, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 36), (37, 24), (36, 35), (12, 0), (17, 10), (17, 12), (22, 27), (19, 28), (29, 33), (17, 16), (0, 18), (6, 12), (1, 24), (32, 0), (31, 7), (31, 13), (33, 26), (6, 23), (28, 37), (18, 30), (32, 12), (9, 17), (26, 36), (20, 34), (24, 37), (21, 16), (13, 1), (1, 13), (27, 13), (35, 25), (14, 7), (33, 17), (22, 15), (33, 3), (5, 34), (28, 3), (3, 0), (6, 32), (20, 18), (19, 12), (3, 8), (34, 0), (1, 21), (1, 31), (29, 15), (27, 14), (1, 10), (8, 6), (27, 32), (8, 4), (8, 25), (25, 37), (32, 7), (22, 3), (34, 36), (24, 28), (17, 3), (36, 12), (23, 22), (12, 21), (29, 2), (22, 5), (10, 24), (28, 6), (6, 36), (32, 28), (35, 12), (5, 21), (9, 7), (18, 31), (27, 33), (4, 6), (19, 24), (32, 36), (18, 6), (31, 22), (10, 26), (27, 30), (34, 31), (25, 3), (29, 19), (14, 28), (4, 17), (10, 33), (17, 13), (21, 10), (13, 25), (13, 18), (2, 15), (11, 3), (20, 8), (32, 23), (4, 10), (26, 7), (12, 17), (35, 22), (35, 35), (30, 14), (21, 17), (30, 12), (3, 13), (32, 14), (36, 4), (21, 21), (11, 25), (15, 23), (28, 9), (21, 5), (16, 37), (4, 15), (14, 26), (0, 28), (23, 21), (7, 5), (37, 2), (18, 5), (10, 35), (1, 7), (23, 31), (22, 10), (10, 3), (16, 4), (15, 5), (22, 33), (19, 21), (27, 5), (5, 2), (28, 19), (25, 7), (24, 1), (9, 28), (27, 28), (35, 6), (37, 35), (5, 7), (22, 2), (21, 12), (24, 29), (10, 27), (16, 14), (16, 31), (2, 1), (21, 8), (15, 13), (30, 7), (33, 30), (35, 17), (35, 23), (13, 33), (6, 9), (10, 9), (28, 12), (12, 6), (20, 15), (33, 29), (26, 31), (32, 22), (6, 18), (33, 27), (31, 23), (8, 9), (21, 4), (30, 22), (31, 11), (21, 25), (29, 10), (8, 8), (20, 13), (11, 19), (22, 21), (2, 5), (30, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 23), (0, 18), (10, 16), (29, 5), (5, 21), (16, 23), (7, 24), (26, 24), (6, 17), (13, 4), (11, 3), (18, 6), (28, 0), (8, 5), (11, 20), (20, 17), (27, 19), (28, 26), (11, 11), (21, 8), (9, 2), (8, 24), (3, 14), (24, 15), (15, 27), (24, 31), (15, 14), (6, 13), (10, 4), (28, 12), (26, 17), (10, 15), (1, 3), (15, 21), (14, 0), (11, 0), (7, 13), (22, 3), (27, 30), (11, 1), (8, 15), (20, 28), (13, 25), (27, 2), (5, 26), (13, 31), (11, 4), (2, 20), (20, 2), (12, 13), (27, 17), (24, 25), (11, 30), (27, 10), (4, 14), (4, 7), (22, 14), (5, 1), (29, 21), (23, 19), (4, 10), (14, 30), (9, 6), (20, 12), (6, 31), (4, 25), (1, 4), (0, 4), (7, 20), (9, 19), (7, 28), (11, 6), (24, 21), (5, 4), (17, 31), (5, 7), (14, 21), (17, 4), (22, 13), (25, 30), (20, 30), (0, 12), (6, 14), (19, 17), (26, 9), (28, 2), (6, 21), (25, 23), (16, 8), (26, 7), (0, 24), (15, 25), (5, 28), (26, 12), (3, 5), (12, 22), (27, 31), (14, 4), (14, 15), (14, 19), (21, 19), (16, 20), (1, 27), (16, 15), (19, 4), (25, 17), (22, 10), (26, 5), (2, 2), (4, 3), (8, 3), (16, 17), (23, 10), (8, 20), (20, 13), (16, 2), (10, 23), (6, 10), (11, 7), (18, 21), (8, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 22), (2, 7), (31, 27), (17, 10), (29, 16), (27, 18), (11, 6), (15, 13), (31, 9), (9, 5), (23, 1), (15, 22), (16, 25), (30, 18), (2, 13), (10, 11), (4, 26), (32, 8), (14, 11), (7, 29), (22, 8), (2, 0), (7, 9), (35, 17), (3, 3), (13, 0), (13, 8), (16, 20), (6, 3), (6, 16), (14, 29), (19, 12), (11, 14), (25, 13), (22, 29), (2, 21), (18, 4), (15, 3), (8, 19), (17, 17), (35, 6), (27, 8), (22, 0), (6, 8), (25, 28), (29, 9), (12, 20), (24, 0), (25, 23), (5, 7), (0, 18), (16, 0), (23, 24), (13, 19), (2, 4), (15, 9), (20, 7), (13, 13), (28, 17), (8, 9), (8, 18), (18, 12), (4, 1), (20, 0), (23, 10), (9, 15), (26, 0), (18, 13), (36, 1), (11, 21), (20, 2), (13, 2), (16, 1), (8, 15), (10, 10), (32, 4), (21, 22), (25, 19), (5, 17), (26, 6), (0, 10), (14, 28), (23, 12), (1, 7), (18, 21), (34, 14), (23, 11), (30, 0), (18, 29), (18, 28), (10, 20), (20, 26), (20, 8), (12, 25), (16, 13), (33, 6), (7, 23), (28, 27), (15, 19), (18, 16), (21, 14), (3, 26), (0, 26), (18, 26), (2, 29), (10, 4), (1, 28), (11, 27), (17, 24), (25, 9), (24, 5), (2, 6), (21, 3), (6, 4), (2, 26), (35, 1), (23, 23), (5, 24), (26, 8), (18, 8), (33, 25), (17, 9), (19, 13), (9, 18), (34, 2), (20, 6), (28, 2), (15, 29), (4, 23), (30, 5), (11, 4), (1, 20), (2, 11), (14, 19), (30, 25), (8, 11), (12, 0), (28, 29), (18, 17), (31, 16), (34, 23), (36, 15), (12, 13), (24, 4), (13, 12), (19, 21), (4, 2), (3, 29), (22, 17), (10, 28), (36, 18), (10, 24), (12, 7), (14, 17), (32, 15), (13, 24), (7, 27), (31, 7), (1, 13), (3, 18), (21, 20), (32, 17), (27, 7), (32, 12), (26, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 30x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 2), (21, 7), (26, 16), (2, 13), (21, 6), (17, 11), (17, 26), (10, 29), (10, 14), (4, 28), (5, 11), (27, 17), (10, 12), (15, 9), (7, 0), (4, 13), (2, 8), (19, 13), (25, 5), (5, 2), (10, 18), (8, 11), (26, 1), (11, 12), (4, 14), (22, 5), (14, 17), (22, 27), (17, 23), (28, 30), (25, 6), (12, 7), (27, 4), (27, 19), (10, 9), (16, 21), (17, 21), (17, 4), (24, 29), (0, 4), (4, 5), (10, 26), (4, 7), (5, 13), (4, 9), (18, 0), (29, 12), (2, 7), (13, 30), (4, 11), (11, 7), (1, 2), (6, 8), (6, 17), (18, 26), (14, 28), (11, 25), (17, 10), (19, 25), (1, 15), (23, 10), (8, 9), (25, 4), (16, 5), (26, 2), (16, 13), (0, 15), (10, 30), (29, 29), (19, 16), (16, 25), (7, 8), (13, 20), (14, 1), (28, 6), (3, 17), (8, 22), (1, 30), (1, 28), (25, 0), (20, 2), (14, 30), (4, 1), (26, 8), (12, 27), (21, 12), (14, 27), (8, 6), (13, 21), (24, 30), (20, 1), (16, 16), (5, 24), (13, 23), (13, 9), (8, 7), (19, 4), (6, 0), (27, 15), (8, 0), (27, 7), (28, 11), (14, 9), (26, 11), (14, 10), (6, 6), (24, 14), (0, 22), (12, 21), (18, 10), (25, 3), (10, 13), (29, 26), (24, 5), (24, 8), (23, 7), (23, 16), (26, 9), (4, 31), (1, 16), (5, 31), (29, 6), (2, 22), (0, 17), (24, 16), (27, 18), (18, 12), (8, 14), (0, 23), (1, 7), (15, 22), (27, 16), (7, 19), (24, 19), (2, 10), (7, 5), (3, 13), (25, 19), (28, 2), (27, 30), (13, 27), (19, 19), (26, 20), (22, 9), (0, 6), (12, 12), (3, 5), (5, 25), (10, 10), (1, 9), (13, 15), (19, 5), (2, 9), (22, 30), (13, 11), (0, 24), (23, 8), (28, 17), (5, 0), (13, 0), (14, 2), (15, 27), (27, 9), (10, 31), (23, 24), (25, 2), (23, 31), (5, 10), (2, 27), (19, 30), (15, 23), (3, 18), (24, 18), (25, 18), (22, 23), (27, 26), (6, 14), (6, 9), (2, 20), (21, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 34x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 11), (23, 24), (20, 15), (17, 9), (10, 18), (23, 9), (1, 0), (19, 19), (2, 12), (22, 13), (24, 5), (11, 15), (7, 12), (12, 1), (33, 13), (26, 6), (28, 23), (22, 12), (11, 19), (1, 25), (12, 6), (22, 20), (32, 19), (8, 11), (29, 9), (20, 21), (7, 6), (4, 1), (18, 13), (18, 1), (33, 16), (27, 29), (3, 2), (9, 6), (10, 3), (17, 0), (17, 23), (7, 23), (24, 11), (20, 29), (22, 5), (26, 16), (3, 4), (31, 4), (1, 17), (12, 0), (24, 19), (18, 2), (22, 17), (31, 10), (20, 26), (33, 11), (29, 5), (4, 11), (7, 16), (17, 22), (16, 29), (12, 4), (1, 18), (21, 23), (28, 4), (12, 14), (5, 8), (24, 22), (3, 28), (29, 0), (32, 1), (10, 22), (29, 4), (1, 27), (23, 8), (26, 12), (27, 15), (4, 27), (19, 28), (9, 16), (3, 6), (13, 15), (20, 3), (5, 7), (12, 26), (16, 3), (33, 0), (9, 14), (5, 23), (26, 17), (5, 28), (33, 4), (9, 19), (24, 2), (26, 13), (33, 18), (25, 19), (30, 3), (31, 11), (0, 18), (28, 5), (32, 0), (13, 22), (3, 22), (8, 15), (25, 23), (26, 10), (11, 1), (10, 29), (18, 23), (26, 3), (28, 1), (0, 15), (3, 0), (29, 29), (13, 8), (33, 3), (8, 27), (15, 29), (30, 11), (17, 13), (3, 26), (1, 7), (26, 2), (28, 25), (21, 5), (2, 21), (4, 29), (5, 21), (29, 24), (16, 9), (31, 6), (22, 10), (8, 10), (4, 4), (5, 1), (14, 21), (17, 3), (0, 20), (1, 22), (24, 9), (15, 27), (10, 10), (32, 17), (15, 23), (12, 13), (16, 17), (3, 11), (9, 20), (1, 29), (31, 1), (20, 10), (3, 19), (28, 16), (22, 8), (17, 10), (1, 14), (2, 23), (17, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 33), (5, 28), (10, 9), (14, 9), (7, 26), (4, 8), (22, 16), (12, 31), (30, 7), (34, 5), (25, 9), (28, 3), (20, 34), (20, 2), (35, 6), (23, 19), (7, 21), (13, 16), (20, 0), (35, 15), (29, 17), (14, 2), (21, 20), (2, 26), (16, 6), (19, 9), (31, 26), (11, 36), (15, 25), (30, 25), (1, 24), (23, 15), (11, 32), (23, 26), (33, 35), (17, 21), (31, 9), (1, 29), (26, 36), (33, 3), (9, 12), (22, 15), (11, 22), (11, 9), (18, 15), (34, 2), (13, 29), (32, 4), (25, 29), (31, 32), (30, 11), (25, 19), (9, 22), (32, 26), (28, 6), (2, 16), (17, 36), (23, 23), (0, 24), (19, 5), (29, 10), (11, 23), (27, 14), (28, 28), (11, 6), (9, 2), (1, 9), (2, 22), (14, 35), (14, 34), (10, 17), (18, 27), (5, 21), (19, 28), (10, 26), (0, 5), (15, 16), (4, 5), (11, 19), (19, 19), (4, 29), (3, 34), (0, 12), (33, 36), (5, 25), (9, 8), (31, 18), (1, 17), (26, 24), (7, 19), (6, 32), (24, 16), (9, 36), (33, 5), (35, 34), (21, 0), (25, 17), (2, 18), (21, 29), (33, 25), (23, 16), (14, 33), (5, 11), (21, 18), (22, 9), (26, 8), (21, 28), (23, 6), (26, 30), (33, 32), (6, 19), (30, 31), (23, 9), (32, 28), (9, 29), (19, 35), (4, 2), (22, 28), (34, 10), (33, 6), (11, 35), (29, 14), (5, 2), (26, 21), (16, 13), (30, 24), (9, 14), (17, 11), (4, 12), (0, 28), (13, 12), (32, 19), (18, 23), (1, 5), (1, 10), (8, 12), (0, 10), (12, 23), (6, 3), (23, 32), (20, 15), (23, 8), (21, 22), (29, 3), (4, 26), (9, 5), (22, 29), (18, 1), (5, 27), (0, 23), (13, 17), (34, 18), (22, 21), (10, 34), (7, 5), (12, 21), (17, 15), (25, 31), (18, 20), (33, 10), (15, 35), (4, 22), (29, 35), (35, 31), (2, 34), (16, 2), (4, 24), (9, 11), (13, 19), (27, 31), (9, 35), (14, 7), (21, 25), (10, 15), (27, 21), (20, 27), (35, 32), (17, 22), (23, 11), (12, 36), (15, 24), (12, 17), (29, 22), (19, 16), (6, 14), (31, 2), (11, 17), (13, 11), (16, 16), (1, 7), (4, 17), (10, 6), (20, 8), (28, 5), (34, 24), (14, 36), (19, 11), (12, 1), (8, 20), (12, 11), (8, 30), (10, 10), (4, 4), (31, 14), (35, 20), (23, 25), (26, 11), (25, 36), (27, 8), (25, 21), (24, 30), (29, 9), (24, 5), (1, 11), (17, 28), (33, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 2), (1, 17), (28, 33), (18, 28), (15, 4), (12, 30), (13, 8), (7, 12), (9, 18), (0, 15), (12, 26), (4, 13), (16, 10), (18, 13), (17, 23), (12, 8), (15, 22), (4, 12), (16, 9), (15, 28), (10, 4), (27, 30), (25, 25), (27, 7), (0, 25), (18, 5), (13, 13), (3, 2), (18, 1), (22, 30), (10, 10), (12, 19), (6, 15), (2, 30), (17, 33), (13, 2), (6, 8), (12, 24), (23, 24), (25, 0), (15, 23), (28, 5), (21, 5), (20, 21), (27, 29), (18, 7), (10, 0), (17, 15), (5, 13), (3, 22), (16, 15), (3, 21), (13, 31), (20, 7), (24, 24), (20, 27), (3, 28), (6, 29), (4, 27), (1, 7), (20, 23), (19, 8), (16, 14), (24, 15), (17, 3), (18, 8), (20, 11), (24, 9), (2, 3), (24, 29), (3, 25), (24, 16), (9, 8), (8, 30), (30, 15), (28, 2), (9, 6), (17, 14), (27, 15), (30, 28), (26, 22), (21, 1), (5, 14), (16, 22), (5, 32), (3, 6), (2, 28), (25, 2), (12, 2), (23, 31), (26, 13), (0, 1), (23, 22), (0, 21), (29, 32), (28, 21), (4, 25), (26, 18), (4, 4), (28, 10), (8, 2), (29, 1), (27, 33), (11, 30), (14, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 5), (9, 10), (22, 1), (21, 29), (7, 28), (22, 20), (1, 24), (16, 14), (3, 10), (6, 6), (18, 27), (18, 13), (5, 9), (0, 11), (6, 18), (3, 7), (29, 15), (10, 16), (6, 31), (10, 3), (15, 27), (27, 31), (0, 16), (0, 4), (27, 1), (6, 28), (5, 31), (25, 25), (15, 2), (14, 26), (1, 11), (29, 19), (24, 26), (3, 24), (20, 30), (10, 29), (5, 16), (2, 18), (15, 23), (17, 24), (11, 31), (3, 6), (25, 13), (16, 30), (4, 27), (27, 0), (21, 10), (6, 4), (26, 12), (29, 4), (21, 27), (7, 2), (15, 25), (19, 25), (25, 3), (13, 29), (28, 9), (15, 5), (23, 17), (2, 14), (29, 5), (24, 16), (19, 19), (12, 2), (18, 9), (18, 15), (4, 25), (25, 12), (9, 27), (15, 19), (8, 31), (14, 24), (19, 28), (27, 22), (27, 2), (9, 19), (4, 7), (1, 23), (5, 17), (22, 14), (14, 16), (25, 5), (16, 7), (7, 8), (26, 5), (28, 19), (12, 18), (14, 14), (16, 6), (7, 3), (1, 2), (12, 8), (23, 9), (23, 11), (0, 5), (4, 1), (9, 18), (18, 24), (13, 27), (19, 17), (18, 28), (8, 14), (13, 18), (29, 16), (11, 13), (6, 17), (3, 31), (21, 12), (22, 5), (11, 10), (26, 0), (27, 9), (1, 19), (5, 24), (8, 18), (3, 21), (28, 21), (26, 9), (1, 7), (18, 29), (23, 19), (5, 5), (8, 26), (8, 15), (9, 1), (21, 24), (27, 15), (1, 27), (27, 20), (25, 11), (24, 0), (24, 2), (5, 19), (12, 20), (3, 19), (16, 31), (13, 7), (19, 16), (19, 15), (18, 3), (10, 2), (9, 21), (6, 13), (0, 15), (21, 3), (15, 16), (1, 13), (24, 14), (7, 19), (1, 31), (28, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 31x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 25), (5, 24), (12, 6), (3, 7), (30, 28), (23, 21), (25, 21), (27, 9), (19, 29), (27, 6), (21, 17), (11, 4), (16, 28), (15, 20), (5, 14), (28, 15), (6, 1), (23, 30), (22, 16), (6, 13), (26, 5), (25, 0), (22, 25), (14, 16), (4, 24), (14, 12), (27, 27), (9, 0), (17, 18), (1, 5), (1, 16), (8, 29), (28, 5), (3, 19), (30, 0), (10, 15), (1, 22), (19, 14), (17, 14), (24, 8), (13, 4), (28, 10), (26, 10), (21, 9), (4, 13), (3, 15), (5, 2), (3, 17), (18, 15), (13, 6), (8, 14), (6, 0), (13, 12), (29, 8), (13, 5), (1, 17), (11, 27), (3, 9), (3, 29), (30, 12), (25, 4), (12, 30), (4, 3), (4, 16), (22, 5), (12, 20), (28, 29), (6, 15), (9, 1), (9, 2), (8, 9), (26, 6), (0, 13), (27, 26), (18, 21), (20, 0), (13, 24), (7, 3), (4, 11), (4, 4), (26, 12), (3, 3), (4, 27), (17, 16), (17, 26), (29, 10), (12, 8), (21, 5), (21, 29), (17, 6), (0, 6), (26, 25), (2, 18), (21, 0), (16, 7), (14, 23), (3, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 39x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 22), (7, 36), (19, 9), (18, 13), (18, 1), (31, 1), (10, 14), (22, 13), (30, 25), (8, 30), (5, 32), (4, 11), (10, 9), (27, 26), (8, 4), (31, 3), (4, 5), (12, 7), (8, 17), (8, 0), (27, 20), (17, 3), (30, 1), (4, 7), (33, 31), (18, 8), (13, 5), (35, 10), (15, 16), (7, 10), (23, 20), (8, 2), (15, 19), (5, 33), (26, 36), (22, 26), (19, 24), (3, 11), (9, 17), (9, 5), (34, 4), (0, 31), (38, 30), (14, 7), (17, 17), (24, 12), (23, 17), (28, 31), (23, 10), (25, 29), (0, 8), (38, 15), (20, 5), (10, 26), (11, 26), (14, 12), (4, 35), (10, 6), (7, 15), (2, 24), (13, 13), (17, 14), (0, 28), (1, 35), (17, 5), (9, 26), (29, 34), (25, 14), (7, 28), (35, 26), (30, 4), (6, 35), (23, 18), (17, 23), (38, 26), (2, 14), (17, 15), (32, 4), (10, 32), (32, 21), (27, 6), (2, 2), (9, 34), (5, 29), (11, 34), (31, 25), (35, 0), (28, 10), (31, 8), (35, 12), (36, 31), (30, 18), (20, 24), (22, 30), (5, 34), (26, 17), (5, 35), (6, 1), (2, 21), (37, 26), (30, 35), (21, 15), (0, 6), (22, 2), (26, 23), (38, 5), (15, 6), (13, 16), (12, 24), (3, 18), (19, 29), (11, 25), (5, 19), (15, 36), (23, 19), (10, 2), (17, 20), (34, 17), (16, 2), (35, 23), (1, 30), (30, 24), (36, 2), (9, 8), (15, 23), (26, 35), (17, 13), (10, 8), (21, 32), (18, 30), (3, 15), (27, 2), (3, 29), (13, 17), (26, 3), (23, 5), (18, 16), (31, 4), (18, 29), (19, 33), (2, 9), (38, 28), (11, 23), (2, 15), (19, 7), (32, 36), (30, 19), (10, 13), (35, 17), (32, 0), (1, 36), (5, 6), (16, 28), (0, 29), (7, 32), (4, 8), (5, 1), (7, 34), (12, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 37x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 19), (14, 15), (28, 25), (9, 7), (35, 5), (23, 9), (7, 27), (4, 18), (23, 26), (12, 17), (34, 22), (17, 19), (27, 23), (9, 12), (12, 29), (1, 16), (21, 11), (27, 18), (19, 26), (4, 28), (18, 8), (28, 27), (30, 12), (16, 3), (5, 3), (32, 13), (10, 1), (0, 28), (31, 3), (25, 5), (3, 23), (16, 4), (17, 25), (21, 18), (30, 16), (14, 17), (6, 25), (19, 2), (15, 15), (22, 9), (5, 25), (12, 5), (16, 20), (3, 15), (4, 11), (34, 3), (17, 0), (13, 4), (3, 27), (5, 6), (27, 4), (20, 9), (20, 17), (11, 17), (19, 3), (35, 17), (2, 21), (13, 15), (10, 15), (21, 22), (4, 24), (33, 5), (8, 7), (21, 2), (19, 16), (20, 8), (31, 29), (9, 25), (7, 13), (6, 7), (1, 0), (16, 1), (33, 4), (12, 18), (21, 27), (16, 5), (14, 28), (21, 24), (2, 19), (17, 23), (4, 3), (28, 12), (8, 24), (6, 0), (29, 21), (24, 5), (12, 1), (29, 16), (26, 29), (35, 26), (4, 21), (36, 28), (34, 28), (34, 12), (3, 11), (6, 6), (15, 16), (27, 25), (9, 20), (35, 27), (31, 16), (15, 11), (13, 1), (30, 28), (10, 21), (1, 5), (22, 16), (6, 16), (32, 28), (19, 25), (2, 17), (5, 9), (2, 23), (28, 26), (5, 10), (24, 18), (11, 25), (13, 28), (32, 12), (28, 16), (20, 5), (5, 22), (27, 6), (21, 9), (19, 28), (3, 16), (20, 26), (3, 3), (1, 14), (26, 10), (10, 4), (7, 16), (9, 0), (36, 4), (24, 26), (34, 2), (13, 10), (33, 10), (18, 9), (22, 15), (24, 7), (16, 16), (27, 5), (5, 12), (12, 20), (33, 13), (29, 12), (34, 5), (12, 15), (2, 4), (17, 3), (32, 6), (32, 26), (7, 10), (23, 0), (4, 29), (8, 9), (23, 20), (14, 14), (29, 3), (26, 26), (17, 27), (17, 17), (28, 29), (28, 6), (25, 28), (21, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 2), (19, 4), (22, 22), (14, 6), (28, 14), (27, 12), (12, 3), (27, 11), (6, 10), (1, 26), (4, 25), (6, 23), (10, 10), (15, 30), (19, 20), (15, 1), (30, 29), (17, 20), (2, 25), (13, 13), (12, 4), (22, 26), (12, 12), (20, 9), (20, 16), (21, 0), (11, 6), (30, 16), (1, 28), (15, 25), (3, 16), (29, 25), (29, 8), (6, 20), (11, 8), (27, 14), (21, 25), (14, 20), (3, 21), (30, 13), (20, 13), (18, 1), (21, 2), (19, 9), (29, 23), (4, 19), (17, 12), (12, 18), (19, 12), (17, 23), (8, 30), (25, 10), (8, 13), (17, 9), (22, 7), (9, 7), (4, 4), (19, 21), (1, 11), (12, 21), (5, 7), (25, 17), (3, 30), (14, 12), (30, 5), (10, 29), (4, 23), (31, 19), (17, 22), (11, 17), (1, 21), (26, 22), (9, 23), (5, 16), (31, 18), (23, 1), (11, 9), (22, 28), (1, 1), (16, 16), (18, 6), (14, 19), (1, 7), (16, 9), (21, 26), (4, 16), (9, 11), (17, 29), (17, 11), (7, 8), (18, 16), (27, 8), (11, 15), (31, 23), (14, 9), (2, 15), (0, 30), (7, 25), (0, 19), (25, 21), (22, 20), (19, 10), (14, 25), (17, 10), (2, 14), (19, 7), (15, 5), (9, 2), (3, 9), (5, 9), (6, 9), (27, 9), (7, 16), (4, 6), (8, 3), (12, 14), (14, 29), (2, 13), (23, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 10), (9, 18), (15, 34), (7, 2), (16, 28), (29, 7), (4, 6), (18, 30), (21, 17), (27, 4), (17, 28), (18, 27), (12, 27), (14, 32), (22, 2), (27, 21), (12, 30), (14, 37), (3, 9), (24, 19), (9, 14), (23, 9), (27, 25), (11, 35), (16, 29), (13, 9), (14, 23), (14, 13), (28, 31), (7, 17), (16, 20), (27, 2), (3, 11), (22, 32), (5, 37), (14, 4), (21, 4), (6, 24), (27, 1), (15, 11), (29, 13), (15, 13), (7, 26), (1, 36), (10, 25), (23, 23), (16, 22), (11, 11), (12, 16), (1, 2), (12, 4), (10, 15), (5, 2), (3, 17), (1, 11), (1, 23), (16, 19), (11, 14), (21, 27), (29, 18), (17, 6), (25, 9), (0, 6), (10, 3), (10, 10), (23, 0), (16, 17), (23, 1), (21, 10), (6, 21), (13, 32), (6, 4), (27, 27), (22, 10), (28, 15), (25, 19), (5, 29), (23, 35), (17, 8), (8, 11), (1, 6), (2, 7), (21, 13), (14, 21), (26, 18), (24, 8), (8, 34), (23, 3), (26, 22), (20, 25), (4, 20), (27, 19), (19, 7), (26, 23), (0, 31), (1, 24), (20, 35), (16, 24), (10, 26), (8, 33), (3, 28), (19, 15), (18, 32), (11, 34), (3, 23), (25, 8), (3, 21), (7, 37), (5, 26), (4, 37), (29, 36), (15, 30), (7, 5), (29, 25), (28, 12), (3, 2), (14, 33), (26, 28), (20, 32), (15, 25), (20, 37), (28, 23), (15, 5), (17, 0), (22, 19), (18, 0), (0, 18), (3, 31), (4, 11), (19, 26), (26, 29), (24, 36), (26, 25), (15, 3), (28, 4), (10, 32), (8, 0), (28, 20), (23, 10), (26, 33), (10, 19), (24, 32), (0, 3), (11, 10), (12, 19), (11, 16), (24, 1), (6, 27), (2, 37), (20, 4), (25, 27), (13, 0), (2, 12), (29, 34), (7, 34), (21, 34), (22, 20), (22, 8), (5, 1), (13, 6), (19, 8), (5, 31), (15, 12), (10, 20), (5, 11), (1, 18), (18, 24), (4, 5), (18, 16), (12, 14), (1, 12), (1, 31), (7, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 36x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 5), (32, 14), (0, 2), (12, 29), (15, 20), (11, 17), (14, 23), (19, 13), (10, 20), (15, 21), (28, 5), (34, 19), (8, 27), (29, 11), (19, 4), (17, 0), (27, 10), (0, 16), (2, 5), (5, 20), (23, 0), (11, 19), (3, 8), (4, 24), (32, 20), (28, 29), (8, 30), (4, 17), (3, 14), (2, 17), (15, 14), (5, 4), (9, 4), (9, 25), (13, 3), (3, 17), (7, 16), (2, 1), (7, 6), (15, 23), (6, 25), (4, 1), (31, 26), (12, 1), (7, 28), (26, 14), (13, 2), (1, 11), (33, 29), (34, 26), (25, 4), (15, 19), (32, 35), (32, 9), (12, 28), (11, 11), (28, 6), (28, 8), (2, 27), (25, 6), (4, 26), (17, 10), (33, 17), (33, 34), (7, 12), (21, 11), (4, 13), (19, 24), (1, 5), (9, 18), (1, 8), (13, 22), (18, 11), (12, 14), (31, 12), (34, 9), (17, 5), (2, 7), (6, 18), (22, 32), (31, 5), (31, 27), (33, 0), (30, 27), (15, 1), (13, 14), (23, 36), (3, 9), (23, 31), (27, 0), (0, 14), (22, 6), (1, 25), (3, 27), (29, 35), (19, 5), (35, 29), (5, 21), (26, 16), (6, 7), (24, 18), (21, 25), (19, 7), (5, 31), (0, 12), (33, 6), (7, 31), (35, 28), (2, 29), (13, 10), (16, 22), (33, 8), (17, 7), (34, 17), (29, 7), (9, 27), (20, 13), (6, 12), (17, 20), (18, 25), (14, 25), (5, 14), (21, 10), (30, 1), (4, 6), (34, 24), (10, 17), (7, 33), (31, 21), (19, 16), (17, 8), (20, 10), (25, 20), (20, 34), (7, 27), (4, 23), (12, 17), (24, 12), (26, 26), (22, 13), (15, 4), (9, 1), (5, 33), (31, 10), (10, 15), (26, 15), (1, 18), (9, 3), (4, 7), (25, 12), (27, 32), (22, 22), (24, 33), (5, 24), (34, 4), (7, 14), (18, 18), (29, 22), (6, 10), (32, 27), (12, 36), (14, 30), (22, 25), (17, 3), (3, 34), (9, 14), (13, 5), (11, 0), (25, 26), (4, 11), (27, 26), (11, 31), (3, 24), (11, 26), (1, 29), (19, 21), (28, 0), (17, 29), (29, 26), (26, 7), (4, 35), (7, 3), (19, 22), (8, 4), (7, 4), (23, 32), (15, 2), (21, 30), (23, 7), (31, 11), (9, 15), (4, 21), (32, 36), (35, 14), (30, 31), (15, 7), (18, 36), (4, 14), (13, 7), (16, 12), (11, 20), (26, 28), (9, 36), (0, 23), (1, 17), (12, 31), (6, 20), (28, 26), (5, 34), (2, 21), (14, 15), (13, 32), (21, 31), (25, 7), (5, 35), (27, 31), (28, 1), (27, 25), (24, 31), (1, 3), (13, 17), (11, 3), (35, 20), (21, 2), (10, 10), (8, 0), (31, 15), (12, 26), (34, 31), (11, 15), (30, 2), (17, 15), (35, 31), (2, 20), (11, 6), (24, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 24), (26, 10), (13, 3), (33, 29), (0, 34), (21, 17), (0, 26), (3, 31), (15, 4), (29, 0), (6, 19), (1, 32), (23, 17), (37, 2), (11, 29), (32, 9), (31, 1), (36, 35), (0, 2), (13, 17), (29, 8), (20, 30), (16, 22), (18, 38), (35, 21), (31, 38), (11, 36), (14, 30), (27, 0), (27, 19), (36, 3), (32, 7), (36, 18), (26, 35), (15, 3), (23, 4), (14, 13), (1, 25), (22, 17), (7, 5), (27, 26), (35, 2), (11, 38), (13, 19), (31, 20), (35, 36), (8, 16), (30, 3), (22, 5), (19, 32), (33, 13), (0, 1), (32, 31), (18, 28), (31, 31), (23, 25), (14, 0), (37, 13), (15, 7), (14, 22), (37, 16), (27, 8), (17, 21), (15, 38), (34, 31), (19, 26), (28, 20), (16, 16), (33, 21), (5, 7), (2, 25), (7, 18), (6, 3), (24, 13), (4, 31), (22, 11), (37, 20), (15, 31), (21, 25), (15, 27), (36, 4), (22, 2), (32, 6), (17, 1), (34, 25), (15, 18), (2, 30), (8, 17), (32, 21), (14, 29), (7, 31), (24, 35), (21, 14), (34, 26), (5, 20), (33, 33), (7, 35), (9, 3), (36, 14), (26, 17), (36, 22), (35, 28), (9, 14), (17, 2), (34, 6), (14, 16), (29, 20), (4, 23), (24, 25), (15, 8), (11, 16), (22, 21), (35, 4), (28, 29), (34, 15), (5, 27), (3, 21), (4, 28), (9, 10), (32, 34), (9, 20), (18, 3), (35, 37), (25, 5), (18, 11), (17, 33), (4, 30), (3, 28), (36, 37), (36, 28), (11, 30), (36, 0), (15, 24), (7, 37), (17, 18), (5, 2), (20, 3), (34, 20), (19, 17), (37, 32), (36, 30), (19, 6), (3, 37), (33, 11), (1, 31), (23, 13), (32, 11), (31, 17), (29, 35), (13, 34), (6, 16), (1, 14), (17, 23), (22, 32), (0, 35), (1, 9), (7, 16), (0, 11), (34, 0), (2, 5), (29, 6), (16, 18), (11, 10), (4, 16), (24, 30), (21, 13), (2, 3), (22, 19), (1, 16), (9, 36), (28, 8), (6, 6), (10, 25), (26, 29), (20, 22), (3, 11), (26, 11), (35, 20), (13, 35), (12, 3), (13, 25), (23, 12), (37, 17), (4, 25), (28, 9), (22, 20), (25, 26), (24, 16), (35, 31), (28, 31), (26, 6), (20, 10), (20, 33), (11, 20), (20, 12), (1, 34), (6, 24), (24, 28), (32, 16), (19, 21), (6, 5), (36, 15), (29, 15), (32, 29), (16, 36), (27, 33), (6, 10), (7, 19), (10, 31), (32, 15), (10, 1), (11, 14), (28, 38), (6, 4), (30, 1), (7, 24), (2, 2), (8, 0), (1, 19), (28, 36), (35, 26), (14, 23), (31, 24), (15, 5), (12, 27), (23, 20), (25, 10), (19, 31), (26, 15), (24, 24), (2, 23), (25, 34), (6, 20), (23, 27), (22, 22), (9, 15), (10, 24), (18, 35), (26, 22), (18, 12), (34, 22), (17, 24), (32, 20), (10, 19), (18, 36), (19, 33), (16, 31), (11, 21), (22, 33), (22, 8), (31, 9), (33, 35), (32, 30), (25, 36), (2, 1), (1, 13), (4, 35), (14, 2), (5, 19), (21, 24), (14, 27), (4, 4), (24, 1), (6, 17), (3, 12), (10, 8), (23, 32), (30, 22), (33, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 31x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 0), (8, 8), (13, 11), (17, 3), (5, 32), (4, 23), (0, 29), (0, 11), (3, 1), (19, 3), (8, 26), (7, 29), (13, 8), (18, 18), (14, 2), (10, 38), (26, 4), (21, 18), (10, 30), (1, 17), (2, 3), (17, 25), (6, 35), (0, 9), (6, 0), (30, 2), (9, 36), (10, 33), (3, 9), (7, 18), (5, 15), (19, 36), (3, 7), (26, 15), (30, 1), (5, 8), (27, 36), (3, 35), (29, 7), (14, 20), (2, 17), (24, 27), (13, 30), (15, 3), (24, 13), (2, 33), (15, 1), (7, 32), (30, 26), (3, 0), (29, 26), (18, 26), (15, 19), (19, 16), (15, 36), (5, 10), (9, 4), (13, 31), (11, 29), (13, 19), (10, 11), (21, 8), (22, 16), (9, 11), (26, 20), (17, 4), (10, 25), (15, 9), (2, 37), (6, 13), (26, 1), (28, 6), (6, 38), (26, 37), (15, 18), (2, 7), (4, 7), (7, 38), (14, 31), (4, 30), (26, 13), (29, 19), (5, 9), (3, 38), (12, 11), (19, 5), (25, 36), (22, 38), (8, 3), (28, 8), (6, 27), (20, 34), (29, 17), (1, 37), (29, 27), (29, 24), (24, 21), (7, 37), (12, 19), (12, 33), (2, 12), (8, 10), (0, 17), (9, 21), (30, 21), (29, 21), (3, 3), (7, 25), (27, 0), (28, 19), (0, 36), (30, 7), (27, 14), (13, 14), (23, 36), (23, 17), (16, 4), (20, 24), (27, 11), (27, 2), (7, 2), (17, 33), (15, 17), (7, 22), (23, 5), (4, 3), (9, 10), (11, 1), (30, 15), (11, 0), (26, 9), (27, 16), (1, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 9), (5, 19), (18, 10), (24, 28), (33, 10), (17, 3), (33, 24), (33, 33), (30, 19), (5, 33), (7, 23), (1, 36), (8, 22), (4, 24), (27, 29), (8, 30), (22, 32), (6, 16), (19, 35), (8, 17), (13, 0), (17, 6), (10, 25), (3, 35), (15, 18), (18, 33), (18, 14), (22, 5), (4, 8), (22, 10), (33, 20), (19, 6), (23, 24), (17, 24), (6, 6), (31, 20), (12, 13), (30, 10), (12, 12), (0, 34), (25, 27), (21, 18), (19, 7), (1, 9), (30, 24), (27, 26), (25, 5), (31, 19), (15, 6), (19, 9), (5, 15), (17, 9), (27, 5), (8, 29), (14, 20), (18, 21), (15, 4), (7, 7), (9, 20), (28, 18), (15, 34), (17, 10), (22, 21), (14, 28), (28, 4), (12, 29), (29, 20), (5, 31), (29, 34), (6, 33), (26, 20), (7, 10), (28, 23), (29, 21), (30, 16), (4, 19), (16, 5), (13, 26), (13, 3), (22, 27), (9, 12), (0, 5), (0, 13), (15, 24), (1, 5), (11, 26), (11, 1), (29, 22), (20, 22), (33, 36), (14, 25), (18, 23), (28, 6), (24, 3), (28, 30), (30, 4), (25, 12), (5, 26), (4, 12), (2, 20), (5, 10), (25, 8), (33, 31), (29, 9), (22, 16), (6, 27), (21, 25), (32, 4), (21, 24), (2, 30), (30, 8), (0, 11), (19, 33), (20, 5), (24, 26), (3, 30), (17, 8), (12, 5), (25, 19), (15, 2), (28, 29), (25, 22), (7, 25), (23, 22), (18, 29), (8, 10), (25, 11), (7, 5), (32, 28), (26, 6), (26, 21), (11, 18), (5, 5), (11, 28), (33, 28), (17, 20), (23, 20), (8, 14), (19, 24), (9, 32), (15, 14), (19, 1), (16, 31), (3, 21), (6, 10), (16, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 25), (24, 23), (7, 1), (4, 4), (28, 13), (18, 22), (1, 12), (9, 3), (12, 12), (21, 16), (25, 27), (22, 18), (11, 22), (30, 25), (13, 30), (8, 30), (3, 7), (24, 24), (7, 9), (21, 15), (25, 7), (14, 27), (18, 30), (15, 2), (4, 12), (8, 9), (29, 11), (16, 8), (1, 19), (17, 5), (12, 14), (22, 2), (28, 22), (26, 27), (26, 21), (16, 20), (1, 17), (13, 0), (22, 1), (7, 27), (27, 3), (6, 22), (11, 19), (2, 30), (4, 10), (27, 21), (30, 18), (27, 5), (21, 27), (7, 29), (18, 27), (20, 9), (3, 14), (20, 0), (22, 6), (5, 4), (6, 28), (9, 1), (28, 23), (15, 10), (20, 4), (26, 19), (15, 21), (8, 13), (5, 1), (2, 0), (28, 8), (11, 18), (8, 23), (23, 19), (18, 29), (19, 19), (27, 19), (18, 16), (10, 17), (17, 0), (18, 13), (0, 28), (4, 26), (11, 25), (3, 17), (28, 28), (23, 1), (9, 8), (7, 10), (2, 13), (9, 12), (30, 2), (8, 0), (10, 3), (14, 28), (15, 23), (25, 28), (21, 24), (25, 15), (0, 7), (28, 20), (1, 30), (2, 11), (9, 23), (1, 27), (25, 16), (4, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 27), (18, 5), (30, 24), (24, 24), (10, 22), (31, 26), (6, 17), (27, 20), (17, 14), (31, 9), (5, 12), (9, 1), (7, 22), (11, 33), (28, 25), (34, 36), (3, 10), (11, 25), (0, 10), (31, 36), (5, 28), (25, 37), (13, 36), (1, 9), (28, 17), (8, 2), (31, 5), (14, 3), (6, 14), (26, 29), (0, 35), (15, 9), (30, 0), (11, 24), (17, 11), (15, 32), (28, 24), (33, 11), (16, 31), (23, 11), (4, 28), (1, 20), (15, 7), (28, 19), (20, 9), (15, 27), (0, 32), (20, 17), (34, 8), (15, 6), (25, 7), (25, 21), (22, 32), (33, 14), (27, 37), (30, 28), (18, 26), (27, 34), (8, 0), (19, 5), (29, 28), (17, 29), (25, 10), (32, 6), (1, 36), (32, 12), (35, 0), (3, 12), (9, 16), (7, 8), (10, 31), (7, 32), (32, 33), (4, 14), (14, 32), (33, 37), (4, 32), (20, 28), (8, 1), (28, 37), (15, 20), (21, 16), (19, 33), (6, 0), (32, 35), (11, 12), (22, 17), (22, 22), (26, 19), (31, 20), (24, 33), (4, 33), (27, 4), (12, 30), (33, 13), (29, 34), (34, 19), (12, 28), (18, 6), (10, 17), (23, 30), (29, 21), (23, 23), (10, 13), (16, 25), (4, 36), (16, 2), (29, 18), (11, 17), (13, 14), (21, 18), (17, 13), (0, 19), (9, 5), (22, 11), (18, 30), (13, 2), (3, 32), (33, 0), (34, 12), (30, 23), (29, 31), (17, 1), (29, 23), (13, 34), (2, 31), (20, 14), (31, 2), (29, 36), (6, 18), (16, 8), (21, 0), (17, 37), (10, 24), (8, 14), (27, 1), (16, 21), (25, 36), (30, 1), (29, 2), (11, 37), (10, 37), (9, 32), (7, 21), (3, 19), (11, 0), (17, 6), (19, 6), (22, 12), (18, 9), (9, 29), (13, 31), (9, 24), (5, 15), (25, 1), (24, 35), (9, 23), (33, 23), (7, 2), (10, 29), (30, 9), (4, 0), (15, 28), (12, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 20), (28, 22), (19, 12), (9, 20), (8, 33), (28, 21), (22, 27), (29, 19), (25, 32), (14, 4), (20, 33), (3, 34), (28, 34), (18, 15), (28, 23), (4, 35), (22, 29), (32, 1), (19, 31), (7, 16), (11, 24), (3, 36), (22, 31), (12, 10), (9, 21), (31, 2), (15, 24), (29, 16), (11, 29), (7, 6), (6, 8), (29, 3), (16, 5), (14, 25), (30, 7), (28, 30), (13, 36), (8, 11), (29, 8), (28, 12), (12, 32), (17, 23), (32, 16), (23, 29), (3, 8), (4, 2), (25, 3), (13, 5), (19, 3), (34, 0), (2, 5), (12, 13), (19, 15), (9, 0), (22, 22), (17, 29), (34, 18), (19, 19), (34, 17), (22, 34), (30, 15), (18, 14), (9, 25), (0, 8), (6, 28), (17, 21), (5, 30), (34, 14), (23, 27), (30, 28), (4, 21), (18, 16), (14, 13), (18, 21), (4, 10), (0, 31), (8, 31), (10, 36), (18, 30), (0, 10), (8, 23), (28, 24), (30, 8), (34, 34), (34, 11), (28, 33), (32, 26), (5, 21), (29, 21), (28, 13), (20, 10), (6, 5), (9, 14), (13, 22), (11, 5), (11, 26), (22, 35), (10, 15), (30, 3), (16, 2), (28, 0), (23, 19), (21, 36), (28, 5), (29, 27), (15, 7), (7, 36), (29, 10), (21, 4), (14, 18), (3, 2), (30, 16), (15, 22), (17, 28), (10, 17), (1, 11), (32, 34), (25, 6), (8, 3), (32, 13), (26, 17), (23, 20), (11, 13), (16, 23), (33, 24), (20, 28), (0, 28), (25, 19), (5, 25), (16, 25), (23, 10), (26, 3), (3, 32), (20, 12), (8, 34), (34, 7), (19, 14), (17, 27), (12, 3), (14, 28), (2, 9), (31, 29), (17, 20), (19, 7), (14, 29), (9, 1), (5, 9), (24, 0), (32, 0), (1, 20), (20, 23), (32, 5), (13, 35), (16, 16), (13, 3), (1, 35), (2, 8), (3, 30), (25, 26), (9, 28), (32, 7), (23, 0), (10, 25), (4, 33), (25, 27), (2, 7), (15, 30), (27, 9), (24, 23), (6, 36), (19, 0), (20, 32), (13, 2), (10, 6), (19, 24), (14, 36), (29, 35), (5, 24), (20, 24), (31, 22), (0, 36), (25, 34), (16, 1), (3, 7), (10, 33), (20, 2), (12, 1), (32, 6), (11, 20), (10, 8), (8, 2), (33, 17), (24, 28), (3, 11), (14, 31), (17, 35), (10, 0), (23, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 1), (2, 27), (17, 20), (19, 7), (17, 25), (15, 34), (21, 26), (25, 21), (5, 36), (7, 4), (8, 15), (11, 21), (4, 28), (3, 36), (29, 15), (20, 22), (19, 3), (24, 2), (25, 20), (5, 3), (4, 18), (21, 35), (27, 35), (18, 13), (7, 29), (4, 20), (1, 32), (25, 11), (11, 16), (11, 25), (15, 35), (12, 16), (17, 2), (16, 24), (20, 11), (21, 20), (23, 35), (21, 23), (11, 36), (3, 5), (7, 35), (13, 16), (7, 2), (9, 5), (3, 28), (7, 27), (20, 6), (1, 0), (27, 1), (25, 0), (16, 30), (15, 28), (28, 26), (6, 13), (17, 3), (18, 28), (13, 5), (19, 15), (16, 34), (16, 8), (10, 23), (27, 7), (28, 22), (8, 16), (25, 8), (14, 11), (18, 8), (14, 14), (4, 21), (20, 1), (6, 1), (27, 9), (15, 29), (13, 30), (13, 4), (29, 11), (17, 7), (2, 35), (9, 30), (3, 18), (16, 10), (16, 1), (1, 5), (17, 4), (21, 4), (9, 20), (29, 12), (8, 32), (10, 36), (18, 31), (1, 21), (7, 22), (26, 20), (4, 2), (19, 12), (12, 15), (21, 12), (13, 3), (19, 20), (26, 4), (18, 5), (4, 16), (7, 9), (19, 33), (8, 27), (0, 11), (29, 16), (28, 10), (1, 10), (24, 10), (7, 30), (7, 12), (0, 2), (27, 34), (26, 1), (19, 35), (26, 9), (14, 17), (1, 17), (12, 2), (7, 24), (12, 31), (17, 28), (25, 25), (25, 12), (5, 35), (10, 25), (16, 31), (28, 2), (7, 31), (7, 36), (27, 4), (1, 27), (4, 7), (29, 19), (26, 12), (4, 13), (28, 29), (20, 16), (19, 4), (25, 5), (27, 2), (4, 14), (24, 4), (24, 11), (17, 18), (5, 32), (8, 3), (2, 22), (18, 19), (19, 19), (7, 6), (6, 29), (0, 13), (7, 20), (0, 35), (18, 10), (7, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 24), (29, 2), (19, 13), (33, 32), (8, 14), (24, 8), (27, 0), (14, 37), (5, 23), (27, 34), (38, 22), (6, 16), (33, 14), (21, 3), (16, 18), (23, 18), (38, 15), (14, 33), (29, 29), (6, 20), (17, 37), (17, 26), (38, 2), (0, 29), (21, 9), (26, 19), (21, 4), (19, 7), (3, 23), (11, 27), (37, 30), (5, 35), (25, 36), (0, 9), (31, 5), (20, 16), (10, 31), (22, 34), (3, 1), (3, 4), (19, 16), (20, 36), (15, 0), (5, 0), (34, 37), (31, 14), (32, 2), (3, 11), (26, 31), (12, 2), (37, 21), (2, 16), (0, 8), (1, 21), (0, 35), (15, 15), (20, 4), (23, 24), (26, 28), (24, 35), (16, 0), (34, 35), (17, 25), (25, 1), (31, 29), (24, 10), (24, 15), (0, 33), (31, 2), (26, 33), (7, 0), (37, 15), (30, 5), (18, 6), (25, 19), (15, 25), (28, 7), (32, 3), (31, 8), (33, 6), (7, 34), (13, 14), (20, 13), (33, 17), (24, 29), (30, 35), (10, 34), (34, 30), (18, 16), (36, 2), (26, 22), (6, 31), (14, 30), (27, 7), (8, 0), (1, 14), (36, 33), (5, 16), (8, 34), (7, 35), (13, 35), (2, 21), (25, 6), (20, 3), (26, 16), (10, 8), (23, 20), (17, 19), (27, 18), (32, 6), (16, 5), (26, 0), (15, 35), (19, 1), (13, 19), (31, 9), (8, 8), (8, 1), (21, 15), (25, 15), (16, 36), (30, 14), (18, 34), (11, 5), (22, 13), (8, 32), (17, 5), (12, 17), (23, 2), (10, 35), (27, 14), (34, 14), (17, 13), (33, 0), (8, 21), (21, 5), (8, 20), (18, 19), (5, 24), (13, 17), (35, 31), (3, 5), (36, 34), (34, 12), (26, 3), (12, 9), (0, 37), (31, 19), (32, 25), (38, 1), (32, 0), (9, 13), (35, 9), (8, 37), (33, 9), (26, 4), (34, 36), (22, 20), (37, 0), (0, 34), (35, 3), (30, 29), (0, 2), (16, 6), (5, 2), (18, 25), (26, 18), (33, 29), (25, 8), (4, 23), (29, 37), (30, 26), (4, 16), (15, 19), (29, 30), (0, 17), (25, 31), (37, 32), (29, 26), (18, 14), (31, 28), (17, 36), (14, 25), (32, 28), (33, 30), (11, 15), (35, 24), (13, 30), (20, 7), (23, 34), (15, 26), (20, 37), (23, 13), (22, 11), (10, 21), (7, 31), (21, 8), (15, 16), (17, 21), (25, 3), (7, 27), (0, 18), (38, 11), (17, 9), (1, 1), (4, 5), (15, 2), (16, 31), (31, 25), (9, 15), (29, 23), (3, 19), (12, 23), (7, 24), (35, 8), (38, 14), (2, 36), (1, 22), (0, 30), (2, 13), (38, 33), (24, 17), (12, 35), (27, 24), (2, 4), (8, 29), (21, 11), (19, 9), (28, 2), (26, 15), (37, 31), (36, 26), (15, 27), (9, 28), (2, 34), (20, 8), (9, 23), (33, 26), (34, 2), (3, 22), (36, 8), (8, 25), (19, 12), (24, 5), (13, 11), (36, 31), (10, 12), (6, 30), (19, 31), (2, 2), (30, 28), (33, 22), (34, 13), (6, 1), (16, 22), (22, 24), (1, 20), (37, 6), (9, 3), (19, 11), (3, 9), (9, 32), (24, 18), (9, 25), (32, 9), (6, 17), (5, 33), (21, 13), (19, 19), (34, 1), (6, 32), (21, 30), (12, 21), (3, 21), (33, 35), (21, 29), (19, 37), (15, 12), (7, 9), (27, 17), (27, 37), (3, 2), (20, 2), (38, 25), (12, 36), (25, 17), (7, 36), (11, 2), (38, 21), (9, 6), (23, 30), (16, 15), (5, 14), (19, 4), (12, 27), (35, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 38x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 24), (4, 17), (10, 13), (27, 20), (29, 11), (23, 17), (19, 9), (32, 2), (23, 28), (27, 7), (10, 1), (0, 23), (34, 13), (17, 10), (14, 18), (17, 24), (16, 14), (6, 15), (8, 26), (7, 18), (7, 24), (9, 7), (26, 13), (28, 3), (36, 6), (24, 10), (21, 20), (17, 14), (30, 30), (21, 1), (8, 6), (16, 7), (0, 28), (21, 15), (8, 2), (12, 0), (1, 3), (24, 23), (32, 17), (12, 23), (14, 5), (28, 22), (20, 6), (19, 2), (31, 29), (27, 1), (32, 23), (14, 14), (3, 4), (3, 3), (1, 25), (20, 17), (13, 17), (6, 6), (15, 20), (34, 2), (26, 17), (12, 7), (18, 22), (4, 3), (36, 10), (10, 31), (9, 20), (9, 21), (24, 12), (20, 27), (33, 31), (31, 23), (12, 5), (18, 13), (11, 22), (3, 21), (1, 7), (6, 28), (13, 29), (8, 14), (29, 30), (33, 19), (16, 20), (20, 16), (14, 24), (36, 19), (22, 2), (7, 22), (34, 27), (30, 19), (6, 29), (8, 31), (26, 14), (22, 18), (5, 27), (29, 15), (26, 2), (32, 30), (36, 7), (14, 8), (30, 5), (17, 3), (14, 13), (12, 9), (31, 1), (5, 24), (7, 3), (17, 2), (18, 14), (19, 19), (7, 17), (4, 22), (14, 15), (3, 5), (18, 25), (17, 1), (5, 26), (3, 1), (22, 25), (29, 3), (20, 5), (28, 28), (21, 5), (31, 4), (1, 17), (20, 28), (36, 11), (18, 3), (18, 28), (36, 25), (14, 30), (1, 8), (4, 4), (22, 0), (31, 19), (16, 28), (2, 2), (0, 26), (14, 28), (4, 20), (6, 2), (9, 2), (21, 17), (20, 8), (16, 17), (23, 0), (19, 7), (0, 14), (19, 13), (12, 17), (6, 14), (8, 28), (22, 8), (23, 6), (35, 6), (15, 25), (19, 15), (24, 31), (9, 26), (31, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 34x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 16), (2, 2), (22, 3), (10, 19), (25, 25), (21, 3), (12, 7), (31, 21), (6, 4), (4, 15), (5, 5), (18, 24), (17, 21), (26, 15), (9, 24), (0, 1), (21, 13), (14, 10), (31, 14), (24, 24), (13, 7), (21, 24), (3, 0), (10, 15), (2, 4), (33, 27), (13, 3), (25, 9), (10, 9), (5, 0), (18, 13), (7, 12), (27, 0), (3, 5), (14, 26), (26, 0), (17, 28), (9, 20), (20, 9), (27, 14), (27, 33), (23, 13), (32, 16), (1, 32), (27, 27), (27, 4), (4, 17), (12, 35), (18, 30), (1, 23), (19, 18), (8, 31), (9, 31), (2, 13), (11, 18), (23, 4), (33, 1), (23, 17), (18, 3), (27, 6), (19, 23), (33, 5), (13, 20), (3, 34), (17, 19), (32, 34), (19, 29), (30, 30), (20, 3), (5, 19), (18, 5), (30, 33), (10, 10), (18, 27), (22, 16), (21, 18), (27, 12), (20, 20), (32, 32), (33, 29), (13, 31), (15, 30), (25, 33), (1, 34), (27, 19), (24, 16), (4, 2), (9, 8), (32, 35), (17, 32), (23, 31), (16, 32), (33, 7), (26, 30), (19, 28), (9, 27), (18, 18), (7, 6), (29, 20), (15, 15), (25, 20), (27, 18), (31, 27), (32, 2), (5, 26), (19, 34), (22, 17), (20, 26), (6, 20), (5, 12), (27, 28), (9, 29), (30, 3), (30, 12), (20, 30), (25, 22), (15, 6), (33, 21), (19, 6), (31, 0), (21, 1), (27, 26), (3, 35), (14, 9), (21, 16), (27, 11), (18, 1), (4, 1), (22, 6), (8, 3), (25, 28), (32, 7), (17, 2), (26, 9), (15, 12), (31, 31), (29, 0), (28, 27), (28, 19), (1, 21), (27, 34), (20, 11), (18, 25), (3, 4), (18, 21), (8, 12), (0, 13), (20, 13), (15, 31), (3, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 18), (16, 11), (19, 14), (24, 33), (3, 19), (2, 23), (22, 34), (11, 5), (4, 0), (11, 1), (13, 4), (21, 27), (15, 12), (3, 10), (17, 2), (22, 12), (6, 12), (4, 16), (10, 34), (15, 4), (22, 20), (13, 2), (6, 22), (13, 25), (21, 2), (12, 7), (2, 20), (21, 16), (5, 16), (10, 30), (19, 21), (4, 1), (4, 28), (14, 29), (26, 10), (0, 11), (4, 23), (0, 10), (23, 3), (16, 6), (18, 22), (3, 24), (30, 9), (19, 0), (5, 15), (22, 35), (23, 19), (10, 4), (27, 5), (24, 12), (9, 30), (21, 5), (10, 0), (6, 17), (2, 18), (20, 22), (9, 4), (3, 13), (13, 0), (30, 16), (11, 22), (16, 16), (6, 11), (14, 20), (26, 15), (8, 23), (20, 11), (24, 25), (12, 5), (2, 5), (16, 9), (20, 5), (26, 34), (25, 4), (12, 27), (27, 22), (5, 26), (15, 0), (14, 28), (11, 35), (26, 26), (2, 34), (13, 35), (29, 15), (26, 17), (2, 33), (25, 9), (17, 35), (28, 33), (1, 20), (1, 1), (6, 18), (17, 31), (25, 7), (1, 34), (0, 15), (1, 25), (30, 21), (0, 33), (4, 10), (27, 8), (23, 2), (14, 0), (0, 20), (6, 30), (28, 11), (20, 20), (7, 31), (18, 21), (21, 21), (4, 12), (9, 22), (15, 13), (29, 25), (8, 31), (12, 18), (20, 35), (20, 32), (16, 18), (11, 7), (16, 21), (28, 18), (9, 23), (10, 15), (18, 29), (27, 4), (10, 11), (3, 9), (20, 3), (1, 14), (19, 24), (25, 10), (22, 27), (22, 32), (18, 17), (27, 21), (28, 3), (2, 27), (6, 16), (7, 24), (11, 13), (14, 34), (19, 4), (7, 9), (16, 12), (19, 12), (30, 26), (27, 32), (25, 26), (21, 25), (23, 27), (7, 26), (10, 7), (12, 8), (16, 5), (21, 13), (1, 28), (16, 7), (16, 20), (21, 10), (22, 13), (14, 5), (15, 5), (19, 10), (25, 31), (8, 33), (12, 25), (19, 34), (15, 1), (5, 32), (5, 33), (8, 21), (11, 4), (18, 23), (7, 32), (15, 24), (29, 23), (28, 8), (14, 19), (8, 9), (4, 27), (3, 34), (28, 15), (2, 31), (30, 7), (8, 3), (12, 15), (12, 0), (11, 2), (25, 29), (16, 2), (0, 2), (25, 1), (19, 32), (15, 20), (3, 6), (28, 24), (9, 17), (21, 7), (18, 9), (8, 16), (12, 29), (3, 31), (12, 34), (19, 3), (4, 6), (9, 12), (16, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 15), (31, 8), (2, 33), (19, 13), (9, 32), (12, 31), (24, 1), (10, 18), (22, 29), (17, 3), (10, 30), (10, 19), (31, 7), (20, 14), (13, 31), (33, 24), (17, 18), (15, 5), (9, 17), (28, 9), (30, 25), (26, 22), (18, 19), (22, 3), (24, 8), (9, 23), (31, 6), (25, 31), (17, 8), (25, 32), (32, 8), (21, 1), (9, 7), (21, 6), (3, 24), (27, 7), (16, 21), (31, 20), (5, 9), (3, 17), (12, 2), (20, 17), (27, 14), (32, 11), (31, 17), (32, 33), (17, 25), (16, 20), (26, 30), (27, 21), (23, 15), (17, 24), (4, 3), (16, 22), (14, 9), (34, 23), (29, 12), (11, 15), (26, 6), (27, 2), (24, 12), (30, 31), (9, 31), (2, 32), (34, 12), (27, 25), (15, 12), (26, 10), (26, 33), (30, 5), (23, 26), (10, 7), (24, 17), (10, 16), (19, 25), (14, 18), (4, 12), (13, 3), (11, 30), (23, 5), (25, 14), (32, 7), (19, 28), (34, 30), (26, 19), (7, 25), (12, 27), (8, 10), (14, 7), (13, 30), (21, 3), (24, 11), (5, 29), (2, 9), (31, 24), (16, 4), (9, 10), (1, 28), (16, 17), (19, 18), (10, 12), (5, 25), (27, 3), (3, 26), (6, 3), (17, 30), (23, 16), (7, 29), (31, 10), (13, 7), (31, 15), (29, 29), (22, 23), (29, 6), (5, 8), (29, 24), (24, 23), (0, 9), (29, 10), (5, 5), (28, 5), (21, 33), (1, 29), (33, 18), (8, 31), (4, 26), (9, 30), (4, 28), (23, 14), (9, 33), (23, 29), (3, 3), (6, 33), (0, 10), (20, 28), (34, 10), (14, 10), (0, 14), (1, 4), (20, 32), (29, 31), (27, 23), (26, 21), (20, 19), (8, 25), (2, 29), (8, 9), (27, 13), (22, 6), (15, 21), (19, 7), (4, 13), (21, 9), (11, 16), (18, 12), (12, 24), (10, 10), (14, 0), (34, 0), (7, 22), (12, 21), (32, 14), (17, 26), (16, 31), (9, 27), (21, 19), (15, 11), (3, 22), (3, 4), (4, 4), (33, 33), (27, 26), (22, 31), (29, 14), (23, 20), (25, 8), (26, 8), (12, 29), (7, 16), (1, 6), (19, 23), (14, 19), (34, 15), (19, 19), (0, 1), (15, 23), (18, 31), (23, 4), (23, 13), (10, 32), (33, 2), (3, 13), (24, 5), (3, 18), (16, 19), (15, 29), (18, 18), (8, 11), (14, 6), (19, 17), (2, 30), (34, 14), (9, 8), (12, 30), (29, 30), (17, 5), (29, 17), (28, 14), (6, 13), (3, 5), (0, 24), (5, 0), (9, 0), (28, 12), (21, 7), (9, 5), (24, 32), (28, 27), (18, 8), (31, 32), (7, 13), (4, 9), (12, 23), (25, 10), (16, 27), (0, 7), (5, 19), (13, 11), (2, 13), (19, 6), (4, 0), (27, 12), (1, 15), (31, 21), (7, 32), (14, 24), (29, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 28), (1, 13), (4, 27), (17, 29), (6, 17), (0, 28), (35, 23), (28, 20), (2, 25), (37, 25), (9, 22), (13, 23), (33, 17), (34, 6), (2, 0), (27, 16), (35, 20), (33, 23), (25, 4), (20, 3), (27, 18), (9, 31), (10, 18), (8, 11), (33, 20), (10, 27), (12, 12), (26, 3), (14, 11), (10, 20), (2, 3), (31, 1), (12, 30), (15, 6), (18, 12), (27, 1), (16, 9), (20, 0), (19, 29), (24, 26), (19, 19), (14, 23), (20, 5), (0, 17), (23, 17), (9, 2), (25, 6), (4, 16), (8, 16), (0, 19), (27, 21), (7, 25), (19, 28), (23, 19), (4, 26), (30, 27), (4, 6), (4, 25), (38, 8), (30, 28), (27, 31), (4, 31), (32, 20), (36, 10), (21, 22), (15, 28), (22, 6), (29, 31), (4, 23), (34, 23), (31, 5), (4, 4), (6, 30), (12, 9), (21, 15), (11, 8), (10, 28), (30, 30), (35, 25), (1, 3), (26, 21), (23, 11), (20, 9), (9, 28), (31, 19), (32, 29), (20, 29), (25, 22), (25, 27), (31, 2), (4, 8), (3, 7), (26, 31), (13, 20), (18, 27), (18, 7), (4, 2), (24, 22), (15, 8), (2, 30), (36, 16), (17, 25), (30, 19), (5, 20), (26, 29), (7, 12), (14, 30), (10, 4), (4, 18), (4, 9), (19, 2), (12, 31), (11, 28), (14, 29), (2, 10), (9, 15), (19, 27), (14, 25), (19, 30), (5, 7), (34, 19), (16, 6), (21, 17), (25, 5), (9, 17), (18, 4), (28, 21), (29, 26), (6, 23), (25, 20), (34, 30), (11, 31), (24, 18), (22, 11), (24, 14), (13, 28), (29, 12), (29, 8), (6, 29), (32, 8), (1, 28), (26, 22), (3, 0), (14, 4), (21, 24), (17, 0), (11, 30), (9, 9), (36, 6), (13, 26), (5, 18), (23, 9), (25, 23), (6, 25), (38, 16), (15, 29), (2, 23), (12, 8), (14, 27), (11, 23), (1, 16), (10, 10), (38, 18), (37, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 32), (21, 17), (1, 22), (18, 5), (5, 12), (10, 5), (30, 25), (21, 25), (12, 6), (26, 33), (28, 7), (21, 30), (30, 27), (32, 23), (28, 1), (30, 29), (9, 32), (16, 17), (2, 31), (26, 6), (15, 7), (14, 8), (22, 28), (9, 16), (6, 21), (3, 8), (19, 24), (26, 32), (14, 13), (7, 5), (16, 20), (4, 25), (27, 2), (13, 15), (3, 23), (11, 30), (21, 27), (11, 26), (23, 7), (29, 15), (18, 13), (5, 22), (17, 29), (4, 20), (12, 10), (5, 11), (5, 0), (27, 14), (18, 34), (15, 30), (27, 7), (15, 3), (18, 22), (15, 4), (30, 33), (17, 17), (2, 5), (1, 24), (7, 0), (25, 31), (13, 8), (10, 29), (2, 21), (28, 23), (10, 25), (28, 25), (25, 9), (19, 5), (32, 19), (23, 17), (25, 8), (2, 20), (19, 26), (2, 10), (9, 6), (5, 13), (12, 18), (5, 9), (8, 8), (14, 31), (22, 11), (26, 22), (9, 24), (2, 6), (11, 9), (8, 11), (32, 12), (26, 23), (3, 15), (11, 20), (15, 23), (15, 8), (22, 30), (18, 6), (10, 7), (9, 28), (14, 5), (3, 2), (21, 13), (29, 16), (0, 29), (24, 16), (16, 31), (1, 18), (12, 32), (19, 29), (1, 25), (2, 4), (17, 13), (22, 10), (16, 21), (0, 13), (7, 31), (20, 29), (0, 34), (13, 18), (15, 29), (11, 31), (18, 26), (5, 34), (4, 1), (23, 3), (15, 26), (16, 0), (27, 34), (8, 32), (31, 8), (6, 24), (10, 31), (5, 10), (25, 34), (13, 9), (2, 19), (3, 0), (6, 13), (29, 19), (12, 31), (10, 13), (14, 28), (31, 24), (0, 22), (7, 20), (6, 33), (14, 30), (18, 25), (24, 32), (4, 23), (28, 28), (12, 2), (3, 16), (24, 21), (17, 25), (1, 15), (31, 27), (13, 13), (23, 6), (16, 9), (6, 16), (0, 21), (18, 10), (14, 0), (24, 15), (31, 1), (25, 0), (20, 5), (1, 12), (24, 12), (13, 23), (32, 2), (10, 26), (29, 26), (16, 6), (7, 15), (26, 13), (12, 27), (20, 2), (9, 25), (23, 25), (29, 6), (10, 2), (28, 9), (7, 10), (21, 28), (20, 25), (8, 34), (11, 3), (17, 10), (22, 25), (8, 16), (26, 17), (4, 24), (16, 7), (10, 24), (23, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 25), (26, 13), (27, 21), (31, 25), (17, 31), (13, 22), (16, 33), (19, 21), (15, 18), (25, 17), (18, 12), (11, 28), (29, 16), (19, 20), (15, 0), (7, 20), (22, 15), (22, 31), (17, 14), (11, 27), (2, 32), (23, 14), (26, 16), (8, 2), (2, 22), (13, 17), (26, 25), (12, 32), (4, 5), (13, 23), (20, 8), (12, 11), (4, 0), (14, 0), (7, 32), (11, 19), (29, 26), (20, 32), (23, 3), (1, 25), (4, 11), (7, 2), (14, 33), (7, 1), (17, 17), (3, 26), (17, 11), (18, 20), (12, 31), (8, 10), (14, 9), (31, 29), (6, 24), (28, 2), (9, 28), (15, 20), (7, 27), (27, 13), (1, 3), (8, 29), (15, 24), (2, 4), (3, 29), (26, 30), (13, 29), (6, 19), (24, 32), (12, 21), (27, 29), (19, 10), (14, 30), (18, 17), (1, 14), (0, 10), (22, 13), (4, 13), (25, 19), (8, 25), (3, 14), (5, 20), (20, 23), (12, 5), (24, 0), (16, 0), (23, 8), (11, 8), (18, 21), (17, 8), (0, 5), (31, 6), (18, 2), (15, 30), (4, 14), (14, 16), (17, 33), (2, 34), (15, 33), (13, 1), (21, 26), (6, 14), (12, 13), (20, 0), (14, 34), (27, 25), (5, 6), (14, 15), (27, 10), (25, 24), (21, 19), (7, 16), (24, 12), (20, 33), (9, 23), (6, 27), (20, 2), (2, 15), (0, 32), (25, 9), (3, 11), (4, 12), (6, 26), (14, 13), (8, 8), (9, 15), (18, 34), (1, 23), (4, 6), (13, 33), (29, 23), (18, 19), (19, 22), (26, 27), (12, 33), (30, 32), (4, 18), (6, 13), (7, 28), (10, 14), (19, 5), (19, 8), (21, 11), (13, 31), (5, 17), (27, 1), (18, 4), (5, 28), (23, 13), (30, 12), (16, 8), (24, 24), (10, 30), (8, 16), (6, 3), (18, 14), (12, 1), (19, 23), (2, 30), (27, 15), (30, 4), (8, 1), (18, 26), (8, 15), (24, 6), (5, 30), (17, 12), (10, 9), (19, 11), (25, 33), (25, 18), (27, 28), (8, 23), (25, 26), (2, 31), (11, 25), (13, 4), (14, 10), (16, 12), (25, 31), (10, 7), (16, 15), (25, 6), (10, 21), (21, 29), (23, 4), (29, 15), (8, 7), (2, 3), (14, 11), (29, 22), (14, 20), (13, 7), (8, 30), (2, 16), (25, 21), (8, 13), (3, 15), (26, 32), (7, 31), (3, 7), (7, 18), (27, 3), (27, 7), (30, 19), (12, 22), (11, 0), (20, 12), (3, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 38x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 35), (36, 2), (29, 29), (11, 5), (17, 12), (15, 35), (16, 33), (24, 4), (32, 24), (4, 18), (0, 8), (15, 16), (0, 5), (33, 1), (36, 20), (32, 7), (9, 24), (11, 1), (28, 30), (5, 34), (13, 17), (22, 29), (30, 35), (14, 30), (0, 36), (9, 1), (18, 31), (0, 27), (14, 5), (36, 13), (37, 11), (29, 22), (10, 22), (25, 10), (33, 16), (27, 30), (25, 16), (0, 14), (4, 21), (4, 20), (17, 19), (13, 12), (4, 16), (36, 29), (23, 22), (26, 34), (5, 24), (37, 28), (11, 20), (15, 14), (31, 27), (22, 34), (36, 14), (19, 9), (34, 20), (22, 7), (22, 9), (4, 19), (23, 31), (16, 7), (28, 2), (29, 3), (22, 0), (22, 19), (26, 29), (15, 34), (1, 3), (33, 28), (25, 33), (5, 27), (21, 29), (4, 9), (30, 23), (8, 13), (25, 0), (23, 20), (26, 6), (35, 9), (29, 1), (35, 35), (34, 14), (17, 2), (3, 35), (15, 23), (3, 26), (20, 18), (9, 32), (10, 30), (9, 12), (18, 13), (33, 34), (27, 23), (6, 26), (12, 24), (12, 5), (28, 33), (2, 17), (6, 25), (10, 24), (7, 8), (31, 24), (1, 17), (17, 10), (15, 8), (27, 13), (33, 14), (17, 34), (4, 0), (34, 0), (34, 9), (22, 33), (27, 32), (4, 26), (36, 33), (0, 28), (37, 33), (32, 13), (16, 21), (29, 16), (33, 0), (3, 19), (3, 5), (9, 25), (18, 0), (2, 9), (32, 5), (6, 17), (19, 17), (21, 19), (23, 7), (2, 26), (12, 3), (29, 15), (11, 26), (16, 12), (24, 25), (34, 33), (27, 7), (28, 15), (6, 33), (25, 1), (26, 1), (6, 9), (28, 25), (28, 8), (24, 31), (34, 1), (35, 36), (18, 18), (13, 22), (32, 34), (35, 23), (9, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 34x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 12), (9, 23), (25, 0), (2, 20), (19, 9), (15, 8), (19, 8), (16, 17), (29, 6), (27, 3), (30, 6), (1, 0), (7, 17), (16, 14), (22, 24), (13, 11), (4, 1), (6, 2), (4, 26), (32, 18), (32, 7), (12, 8), (24, 11), (19, 17), (25, 17), (10, 10), (18, 24), (18, 13), (21, 3), (2, 14), (29, 9), (24, 3), (5, 9), (13, 3), (26, 12), (12, 16), (15, 17), (30, 20), (1, 24), (10, 11), (6, 17), (17, 14), (10, 15), (12, 7), (25, 28), (24, 7), (30, 14), (4, 4), (6, 24), (29, 3), (9, 19), (10, 16), (20, 0), (20, 21), (0, 10), (33, 9), (8, 19), (21, 20), (8, 7), (9, 6), (9, 3), (6, 13), (6, 6), (0, 18), (16, 26), (3, 9), (4, 6), (28, 25), (5, 17), (24, 24), (28, 4), (4, 3), (6, 26), (9, 22), (2, 7), (5, 22), (30, 28), (18, 9), (22, 8), (4, 13), (24, 22), (0, 24), (21, 22), (4, 22), (31, 1), (5, 14), (18, 27), (1, 13), (13, 12), (26, 21), (21, 21), (27, 29), (8, 26), (16, 22), (3, 22), (14, 20), (26, 7), (0, 28), (15, 0), (16, 27), (11, 15), (11, 2), (1, 9), (27, 14), (19, 23), (32, 5), (3, 23), (15, 11), (26, 13), (5, 7), (14, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 10), (29, 11), (19, 30), (27, 0), (20, 18), (10, 22), (9, 6), (12, 18), (12, 15), (2, 13), (9, 21), (18, 15), (13, 6), (25, 30), (26, 28), (18, 21), (27, 11), (34, 2), (9, 29), (6, 30), (33, 22), (31, 29), (32, 18), (1, 29), (28, 3), (2, 12), (22, 23), (26, 9), (29, 18), (31, 21), (0, 19), (24, 22), (28, 1), (28, 0), (16, 14), (7, 9), (14, 18), (34, 15), (14, 16), (9, 20), (7, 4), (12, 17), (27, 17), (11, 16), (12, 24), (29, 21), (18, 25), (33, 18), (30, 17), (6, 10), (21, 26), (21, 15), (10, 27), (14, 26), (2, 20), (32, 7), (34, 6), (25, 21), (13, 1), (22, 3), (13, 3), (6, 5), (24, 12), (22, 9), (4, 9), (16, 30), (29, 27), (33, 19), (4, 0), (0, 5), (18, 28), (10, 13), (3, 29), (6, 17), (5, 5), (16, 27), (20, 20), (19, 23), (14, 30), (10, 7), (14, 2), (13, 17), (26, 11), (27, 23), (17, 29), (12, 22), (19, 5), (26, 23), (31, 15), (18, 1), (32, 14), (5, 13), (27, 5), (4, 3), (9, 3), (9, 22), (17, 11), (16, 20), (33, 3), (6, 29), (28, 5), (22, 26), (12, 29), (9, 27), (30, 24), (20, 22), (14, 8), (2, 8), (1, 19), (9, 23), (23, 18), (34, 28), (26, 19), (19, 20), (15, 9), (5, 0), (11, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 3), (0, 19), (13, 21), (25, 13), (7, 21), (7, 27), (3, 9), (3, 21), (14, 17), (1, 29), (14, 0), (9, 12), (25, 0), (21, 10), (14, 28), (3, 16), (1, 9), (12, 31), (20, 29), (5, 4), (7, 33), (10, 31), (10, 8), (13, 23), (2, 19), (10, 5), (18, 10), (5, 0), (13, 17), (15, 33), (18, 13), (8, 30), (23, 6), (7, 25), (8, 33), (4, 5), (1, 18), (3, 33), (22, 34), (1, 24), (11, 19), (8, 5), (25, 37), (10, 13), (12, 5), (20, 2), (12, 22), (7, 11), (12, 3), (19, 10), (29, 24), (1, 7), (18, 4), (25, 9), (13, 24), (27, 31), (15, 31), (16, 22), (27, 14), (1, 10), (11, 27), (9, 4), (25, 24), (11, 5), (18, 11), (8, 35), (10, 29), (21, 37), (5, 13), (17, 32), (29, 4), (8, 27), (5, 11), (1, 6), (23, 1), (26, 31), (30, 14), (5, 1), (11, 25), (9, 13), (17, 16), (29, 34), (8, 32), (3, 28), (11, 1), (3, 37), (15, 19), (15, 4), (18, 30), (8, 13), (10, 30), (15, 2), (20, 1), (24, 36), (20, 35), (26, 1), (26, 34), (26, 9), (8, 36), (26, 23), (27, 16), (14, 5), (3, 18), (18, 19), (2, 0), (28, 18), (4, 15), (11, 12), (28, 36), (4, 24), (26, 5), (8, 9), (21, 13), (30, 35), (8, 18), (19, 35), (9, 25), (23, 17), (13, 35), (30, 4), (23, 16), (26, 28), (19, 1), (28, 15), (7, 19), (14, 16), (16, 36), (17, 23), (28, 0), (10, 36), (8, 29), (28, 8), (16, 13), (30, 21), (28, 5), (0, 30), (21, 31), (1, 14), (24, 6), (2, 24), (16, 9), (23, 28), (4, 10), (23, 15), (18, 23), (22, 8), (5, 2), (21, 12), (24, 17), (27, 35), (25, 11), (16, 31), (10, 25), (22, 19), (28, 12), (2, 35), (9, 27), (0, 12), (1, 33), (18, 16), (6, 4), (24, 20), (0, 36), (9, 15), (11, 33), (6, 27), (8, 31), (19, 4), (7, 1), (25, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 0), (2, 31), (24, 19), (3, 18), (14, 26), (11, 13), (20, 27), (5, 0), (7, 24), (5, 19), (36, 18), (0, 21), (20, 36), (35, 34), (34, 5), (1, 38), (17, 20), (11, 4), (15, 25), (21, 4), (5, 30), (30, 20), (12, 12), (27, 12), (14, 25), (12, 9), (6, 25), (37, 2), (20, 38), (36, 21), (13, 19), (22, 27), (28, 1), (6, 15), (16, 28), (1, 1), (32, 5), (1, 18), (34, 26), (36, 10), (0, 31), (1, 29), (4, 24), (32, 6), (27, 35), (34, 11), (26, 11), (13, 37), (30, 12), (25, 21), (2, 32), (17, 27), (7, 19), (22, 21), (27, 9), (19, 24), (12, 25), (26, 7), (30, 32), (12, 34), (17, 22), (11, 20), (24, 8), (35, 33), (31, 21), (17, 10), (24, 27), (3, 21), (38, 1), (25, 15), (11, 26), (7, 38), (23, 8), (4, 1), (22, 33), (16, 9), (28, 37), (15, 29), (12, 20), (28, 25), (2, 1), (35, 19), (17, 30), (19, 10), (18, 27), (31, 34), (15, 38), (4, 16), (27, 11), (17, 38), (23, 21), (38, 27), (5, 6), (8, 4), (4, 25), (38, 8), (23, 24), (35, 10), (8, 12), (14, 35), (4, 26), (31, 23), (27, 3), (5, 16), (3, 35), (19, 22), (4, 33), (31, 10), (26, 19), (8, 17), (32, 28), (6, 22), (35, 29), (25, 26), (21, 37), (38, 12), (30, 24), (20, 17), (4, 8), (26, 12), (33, 2), (23, 3), (15, 18), (1, 2), (34, 24), (15, 13), (9, 5), (13, 17), (7, 21), (16, 13), (26, 15), (4, 17), (25, 33), (18, 17), (38, 2), (14, 2), (22, 32), (17, 21), (22, 15), (17, 8), (7, 28), (3, 16), (16, 20), (32, 18), (21, 14), (15, 23), (27, 18), (9, 1), (16, 11), (25, 17), (34, 28), (9, 31), (38, 23), (10, 11), (28, 18), (33, 31), (35, 32), (12, 16), (11, 19), (29, 9), (20, 10), (16, 27), (36, 26), (24, 36), (36, 7), (33, 10), (26, 17), (25, 4), (20, 23), (6, 3), (9, 16), (21, 15), (8, 3), (0, 34), (34, 13), (5, 34), (19, 14), (38, 11), (18, 20), (6, 11), (29, 26), (23, 1), (6, 6), (13, 16), (29, 38), (32, 24), (20, 19), (36, 32), (23, 7), (13, 23), (4, 2), (19, 4), (35, 4), (25, 28), (35, 27), (1, 21), (17, 33), (3, 22), (14, 6), (30, 31), (19, 26), (33, 38), (6, 1), (33, 0), (18, 1), (36, 6), (1, 9), (24, 13), (28, 30), (11, 34), (27, 22), (10, 21), (10, 32), (17, 26), (37, 32), (21, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (35, 20), (18, 2), (19, 0), (10, 5), (19, 5), (17, 32), (13, 24), (32, 5), (4, 19), (17, 9), (8, 30), (27, 2), (10, 4), (25, 1), (9, 20), (20, 17), (18, 29), (30, 8), (33, 25), (30, 29), (8, 5), (2, 31), (18, 1), (3, 2), (30, 25), (18, 17), (6, 10), (7, 12), (34, 5), (10, 33), (28, 22), (29, 33), (18, 9), (35, 13), (6, 17), (1, 12), (32, 23), (9, 1), (20, 16), (32, 21), (21, 11), (21, 20), (9, 4), (4, 7), (19, 21), (0, 1), (25, 20), (10, 6), (16, 4), (2, 3), (17, 33), (3, 17), (29, 23), (10, 10), (27, 19), (16, 31), (30, 23), (29, 5), (5, 12), (26, 17), (34, 19), (20, 14), (35, 25), (5, 6), (9, 5), (10, 18), (26, 1), (5, 3), (31, 12), (0, 28), (29, 29), (25, 25), (31, 30), (5, 13), (13, 9), (11, 3), (35, 2), (6, 12), (3, 0), (22, 19), (22, 31), (0, 26), (0, 25), (34, 14), (0, 15), (16, 2), (3, 27), (23, 3), (21, 15), (5, 30), (19, 14), (34, 31), (19, 9), (19, 27), (2, 32), (21, 12), (3, 22), (19, 2), (19, 32), (17, 31), (21, 19), (22, 26), (29, 30), (32, 6), (19, 28), (31, 1), (34, 30), (4, 25), (23, 12), (28, 23), (6, 30), (1, 3), (25, 14), (12, 19), (17, 20), (17, 14), (24, 14), (10, 22), (6, 23), (24, 10), (22, 14), (34, 22), (17, 11), (1, 22), (35, 9), (13, 23), (9, 3), (21, 2), (30, 17), (3, 11), (14, 5), (31, 26), (4, 22), (21, 33), (24, 9), (24, 23), (25, 18), (11, 20), (10, 3), (2, 28), (30, 24), (26, 29), (21, 10), (30, 20), (15, 4), (27, 5), (7, 8), (17, 4), (1, 8), (16, 27), (29, 21), (33, 1), (12, 33), (5, 32), (33, 7), (4, 0), (6, 11), (6, 22), (14, 6), (32, 27), (32, 9), (21, 22), (12, 8), (33, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 4), (17, 26), (25, 10), (25, 13), (14, 24), (22, 20), (18, 12), (26, 29), (0, 7), (10, 1), (25, 1), (26, 27), (18, 2), (15, 19), (23, 7), (6, 13), (16, 30), (5, 1), (27, 27), (9, 27), (14, 0), (10, 14), (17, 29), (15, 27), (28, 2), (2, 13), (22, 2), (5, 21), (4, 10), (28, 9), (26, 9), (4, 27), (13, 19), (17, 4), (25, 22), (5, 19), (23, 23), (5, 22), (18, 9), (2, 22), (9, 4), (8, 25), (18, 7), (19, 6), (15, 9), (10, 8), (27, 30), (0, 9), (26, 1), (24, 27), (13, 13), (21, 0), (7, 10), (29, 23), (28, 10), (1, 30), (15, 30), (21, 8), (8, 7), (7, 2), (14, 17), (20, 13), (18, 16), (27, 6), (9, 28), (6, 27), (16, 21), (29, 13), (26, 11), (12, 7), (21, 18), (22, 21), (15, 0), (16, 11), (26, 25), (2, 10), (23, 1), (25, 6), (8, 28), (10, 2), (21, 9), (23, 30), (5, 30), (27, 3), (23, 21), (5, 3), (3, 28), (29, 12), (16, 15), (3, 26), (4, 28), (3, 4), (28, 4), (15, 16), (19, 30), (10, 20), (20, 27), (20, 12), (20, 5), (4, 21), (11, 27), (9, 10), (3, 19), (8, 19), (14, 25), (26, 22), (20, 22), (7, 30), (27, 20), (11, 0), (8, 8), (21, 11), (19, 21), (25, 27), (22, 23), (2, 17), (12, 17), (8, 24), (7, 16), (2, 15), (27, 16), (14, 13), (19, 24), (6, 17), (13, 27), (9, 26), (22, 17), (4, 2), (9, 1), (29, 18), (12, 23), (5, 18), (19, 15), (11, 20), (12, 8), (5, 25), (22, 16), (14, 2), (27, 15), (0, 27), (11, 29), (11, 28), (19, 10), (0, 24), (7, 15), (2, 19), (10, 28), (18, 21), (10, 3), (18, 22), (2, 0), (27, 23), (15, 7), (14, 30), (20, 23), (28, 3), (26, 16), (2, 30), (14, 29), (6, 12), (11, 3), (24, 20), (25, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 28), (7, 34), (22, 34), (15, 7), (23, 12), (14, 11), (22, 10), (14, 13), (11, 18), (3, 29), (25, 8), (20, 1), (0, 26), (19, 22), (0, 34), (34, 9), (26, 13), (32, 29), (13, 33), (34, 26), (7, 27), (30, 7), (30, 30), (15, 25), (32, 17), (1, 8), (2, 34), (19, 11), (22, 30), (31, 5), (15, 27), (25, 7), (26, 20), (26, 31), (28, 15), (19, 30), (35, 25), (12, 21), (29, 6), (25, 18), (0, 32), (20, 7), (33, 31), (10, 13), (4, 10), (30, 3), (29, 26), (13, 29), (24, 19), (21, 17), (1, 14), (36, 28), (21, 19), (18, 6), (11, 29), (7, 17), (33, 22), (24, 5), (35, 12), (25, 15), (9, 2), (4, 36), (20, 20), (27, 27), (35, 36), (12, 11), (5, 28), (27, 2), (19, 23), (13, 13), (28, 31), (22, 20), (34, 0), (33, 16), (12, 31), (15, 30), (33, 8), (26, 34), (15, 10), (31, 25), (36, 13), (17, 27), (9, 24), (36, 14), (26, 16), (26, 21), (4, 24), (25, 9), (22, 31), (19, 24), (9, 27), (11, 19), (12, 1), (12, 35), (3, 3), (25, 26), (5, 36), (18, 16), (34, 7), (8, 7), (19, 32), (20, 22), (25, 2), (9, 25), (2, 1), (17, 36), (19, 1), (24, 33), (10, 4), (8, 35), (14, 17), (4, 0), (3, 16), (20, 33), (21, 25), (26, 18), (17, 9), (3, 18), (25, 31), (8, 19), (13, 35), (20, 24), (8, 33), (0, 13), (27, 11), (23, 9), (27, 34), (8, 28), (32, 11), (36, 32), (5, 2), (26, 35), (35, 28), (6, 5), (20, 36), (17, 19), (21, 36), (21, 32), (22, 1), (18, 0), (0, 23), (7, 2), (3, 33), (31, 8), (26, 12), (5, 34), (11, 25), (36, 5), (24, 6), (5, 14), (25, 24), (35, 26), (6, 34), (13, 25), (5, 12), (26, 3), (19, 6), (30, 19), (30, 25), (28, 25), (20, 18), (9, 5), (9, 18), (3, 13), (9, 10), (31, 11), (34, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 14), (5, 19), (20, 18), (2, 25), (8, 19), (15, 23), (18, 0), (2, 11), (4, 28), (22, 3), (16, 24), (4, 4), (6, 7), (11, 4), (7, 0), (28, 26), (17, 5), (14, 10), (16, 23), (9, 12), (23, 26), (27, 21), (4, 13), (19, 3), (29, 12), (8, 7), (24, 14), (6, 17), (26, 29), (15, 19), (9, 18), (7, 3), (5, 20), (12, 14), (29, 18), (8, 3), (1, 8), (22, 0), (27, 8), (6, 18), (9, 23), (4, 14), (6, 29), (13, 7), (8, 13), (0, 15), (12, 12), (21, 29), (0, 12), (26, 1), (26, 23), (23, 28), (6, 25), (27, 11), (19, 9), (15, 5), (13, 3), (12, 22), (11, 16), (18, 15), (16, 1), (0, 20), (3, 21), (18, 25), (23, 0), (24, 8), (27, 27), (28, 16), (20, 14), (6, 20), (2, 12), (7, 11), (26, 7), (7, 21), (27, 29), (21, 28), (8, 24), (21, 30), (2, 29), (7, 8), (24, 13), (28, 5), (16, 6), (15, 4), (15, 18), (16, 18), (15, 0), (15, 20), (7, 12), (15, 6), (12, 3), (18, 16), (5, 23), (17, 19), (3, 13), (25, 1), (23, 14), (22, 8), (11, 2), (3, 2), (5, 12), (13, 27), (29, 6), (24, 2), (22, 27), (13, 1), (2, 2), (8, 17), (17, 15), (22, 2), (5, 4), (10, 10), (16, 10), (2, 7), (4, 1), (0, 4), (26, 26), (9, 20), (11, 13), (8, 25), (1, 4), (28, 21), (10, 4), (22, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 3), (15, 9), (13, 7), (23, 7), (4, 5), (5, 6), (23, 20), (5, 16), (6, 34), (20, 31), (11, 12), (13, 9), (22, 8), (1, 14), (9, 0), (34, 31), (11, 2), (16, 15), (25, 2), (13, 23), (10, 21), (2, 2), (32, 4), (33, 31), (16, 11), (28, 10), (19, 18), (28, 3), (12, 29), (3, 20), (21, 3), (12, 2), (5, 10), (24, 0), (18, 13), (0, 18), (11, 15), (15, 28), (20, 5), (24, 23), (22, 2), (26, 21), (25, 24), (31, 13), (19, 10), (1, 23), (25, 25), (20, 2), (35, 18), (22, 30), (14, 12), (18, 24), (17, 34), (32, 30), (12, 23), (1, 16), (8, 22), (6, 8), (29, 1), (23, 11), (25, 11), (28, 16), (35, 7), (15, 29), (35, 4), (24, 32), (22, 5), (0, 33), (23, 28), (16, 20), (10, 4), (4, 8), (26, 9), (28, 12), (25, 1), (33, 30), (30, 18), (18, 28), (6, 26), (11, 30), (25, 12), (9, 2), (5, 9), (6, 11), (17, 9), (23, 2), (3, 1), (2, 25), (30, 24), (33, 32), (3, 11), (0, 2), (24, 29), (2, 16), (26, 2), (15, 15), (14, 21), (1, 33), (29, 7), (19, 31), (34, 1), (35, 5), (0, 4), (34, 28), (19, 14), (22, 6), (31, 23), (25, 18), (22, 25), (0, 28), (28, 21), (19, 27), (31, 9), (4, 28), (13, 10), (16, 18), (3, 7), (35, 29), (28, 5), (2, 14), (17, 15), (18, 2), (30, 27), (20, 4), (32, 0), (20, 18), (33, 6), (30, 19), (6, 9), (33, 9), (25, 5), (0, 20), (11, 10), (12, 21), (20, 20), (22, 16), (31, 32), (12, 25), (25, 16), (8, 4), (1, 34), (25, 6), (15, 19), (3, 6), (0, 19), (21, 29), (12, 34), (26, 6), (0, 15), (18, 3), (7, 30), (1, 31), (28, 26), (27, 5), (9, 8), (8, 1), (17, 31), (24, 14), (28, 14), (12, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 22), (25, 23), (33, 1), (11, 16), (30, 20), (0, 23), (21, 24), (4, 29), (22, 29), (23, 35), (25, 18), (9, 2), (15, 7), (25, 37), (27, 22), (31, 5), (28, 26), (20, 19), (9, 4), (5, 11), (26, 26), (25, 15), (28, 10), (21, 5), (0, 22), (22, 3), (4, 19), (19, 1), (9, 8), (16, 35), (24, 15), (12, 15), (16, 15), (2, 22), (6, 37), (5, 21), (26, 28), (6, 32), (37, 13), (22, 17), (24, 7), (17, 8), (30, 32), (2, 9), (23, 24), (17, 28), (27, 2), (33, 23), (7, 32), (2, 7), (10, 21), (1, 27), (10, 10), (31, 11), (0, 31), (20, 1), (8, 7), (33, 16), (0, 26), (16, 1), (4, 21), (28, 4), (37, 10), (11, 32), (36, 22), (28, 20), (14, 26), (15, 32), (27, 4), (18, 6), (31, 25), (20, 12), (8, 15), (19, 3), (19, 17), (31, 31), (31, 20), (23, 21), (19, 36), (2, 24), (13, 25), (13, 4), (8, 6), (34, 37), (36, 28), (29, 30), (33, 18), (17, 9), (4, 4), (36, 26), (10, 26), (18, 19), (10, 0), (12, 33), (31, 6), (23, 16), (27, 32), (16, 17), (6, 28), (7, 10), (3, 32), (34, 4), (6, 12), (9, 35), (34, 3), (27, 33), (5, 22), (0, 33), (36, 1), (20, 4), (5, 10), (12, 30), (36, 37), (21, 9), (29, 29), (14, 19), (23, 8), (3, 21), (19, 15), (12, 8), (8, 4), (27, 12), (32, 19), (6, 10), (6, 18), (22, 14), (16, 32), (12, 4), (20, 3), (8, 34), (5, 33), (27, 34), (5, 2), (35, 33), (27, 30), (14, 37), (13, 0), (20, 35), (25, 3), (24, 28), (32, 22), (34, 22), (2, 32), (37, 31), (28, 9), (21, 22), (12, 29), (12, 17), (6, 6), (22, 8), (33, 31), (18, 20), (24, 31), (19, 37), (21, 12), (18, 37), (14, 23), (34, 20), (14, 34), (27, 15), (35, 1), (18, 21), (7, 27), (37, 26), (9, 33), (13, 33), (31, 28), (12, 9), (6, 36), (24, 9), (7, 9), (15, 27), (6, 27), (4, 15), (30, 34), (33, 6), (37, 3), (14, 0), (26, 10), (33, 12), (23, 4), (34, 0), (26, 20), (7, 3), (27, 37), (9, 10), (22, 4), (6, 17), (1, 0), (8, 12), (12, 2), (21, 13), (0, 27), (3, 30), (12, 35), (15, 11), (24, 2), (16, 29), (2, 0), (26, 12), (0, 32), (12, 14), (32, 20), (19, 23), (21, 23), (0, 28), (18, 31), (29, 28), (14, 30), (14, 35), (20, 14), (21, 6), (27, 35), (34, 8), (12, 1), (27, 24), (7, 20), (37, 1), (3, 6), (17, 1), (5, 25), (20, 11), (4, 25), (5, 3), (23, 11), (12, 22), (21, 28), (5, 23), (9, 20), (23, 1), (16, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 16), (14, 23), (12, 15), (23, 27), (5, 14), (28, 30), (26, 26), (26, 0), (18, 28), (3, 21), (33, 6), (33, 24), (11, 20), (28, 3), (27, 18), (3, 12), (32, 26), (30, 23), (0, 33), (11, 23), (28, 35), (14, 38), (4, 18), (4, 20), (7, 37), (31, 21), (1, 24), (23, 19), (25, 34), (20, 0), (33, 28), (27, 2), (21, 5), (21, 24), (14, 6), (33, 36), (15, 20), (5, 30), (3, 32), (2, 35), (28, 32), (29, 16), (5, 7), (25, 35), (32, 15), (6, 10), (26, 24), (18, 18), (29, 26), (16, 36), (15, 14), (27, 16), (4, 17), (11, 24), (26, 15), (33, 10), (5, 0), (23, 0), (29, 11), (3, 5), (5, 19), (19, 23), (22, 8), (13, 14), (17, 21), (28, 17), (29, 5), (7, 8), (0, 24), (9, 0), (23, 7), (5, 33), (20, 21), (21, 32), (26, 29), (32, 22), (10, 32), (5, 25), (22, 30), (19, 18), (12, 22), (28, 27), (21, 11), (3, 22), (20, 6), (16, 5), (32, 38), (3, 25), (16, 30), (11, 0), (17, 14), (3, 14), (9, 23), (6, 11), (7, 15), (8, 38), (28, 0), (31, 10), (25, 2), (12, 1), (0, 15), (18, 11), (14, 36), (14, 2), (17, 6), (28, 2), (14, 18), (21, 22), (6, 0), (2, 1), (21, 16), (32, 24), (2, 11), (1, 14), (1, 29), (24, 9), (4, 19), (11, 17), (27, 26), (8, 25), (6, 36), (31, 24), (28, 31), (15, 33), (2, 19), (30, 33), (7, 24), (1, 19), (23, 37), (15, 22), (7, 9), (21, 35), (33, 17), (33, 11), (4, 16), (24, 7), (31, 5), (14, 29), (17, 7), (6, 34), (27, 32), (8, 37), (23, 5), (29, 29), (20, 15), (25, 18), (8, 15), (24, 12), (32, 25), (10, 9), (20, 20), (7, 19), (27, 13), (25, 10), (5, 9), (2, 33), (13, 21), (6, 19), (5, 13), (16, 38), (29, 30), (0, 32), (15, 6), (19, 0), (3, 27), (0, 8), (6, 20), (6, 13), (15, 5), (7, 32), (12, 5), (22, 28), (14, 8), (28, 33), (29, 18), (7, 26), (13, 24), (29, 19), (20, 34), (14, 28), (20, 19), (20, 14), (0, 3), (10, 12), (28, 29), (16, 10), (4, 3), (32, 33), (0, 29), (14, 35), (19, 13), (22, 2), (21, 28), (29, 6), (11, 30), (31, 18), (25, 30), (11, 11), (20, 27), (1, 3), (26, 5), (29, 4), (19, 10), (12, 6), (12, 16), (32, 7), (19, 25), (2, 16), (1, 38), (21, 4), (22, 12), (7, 13), (27, 21), (25, 27), (32, 20), (30, 28), (1, 27), (16, 16), (26, 1), (17, 26), (29, 24), (27, 35), (11, 29), (1, 2), (22, 3), (0, 9), (7, 3), (24, 18), (13, 11), (33, 16), (27, 22), (32, 19), (25, 16), (30, 13), (7, 6), (8, 35), (4, 22), (18, 5), (10, 4), (5, 34), (24, 5), (27, 38), (9, 2), (1, 18), (12, 14), (15, 3), (11, 33), (21, 17), (7, 20), (22, 13), (28, 26), (22, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 19), (7, 15), (21, 24), (4, 3), (5, 8), (3, 23), (6, 14), (10, 18), (30, 26), (15, 24), (11, 28), (14, 7), (26, 16), (11, 23), (13, 17), (20, 4), (26, 27), (8, 12), (24, 29), (10, 6), (29, 3), (8, 11), (0, 11), (16, 1), (8, 5), (29, 15), (7, 7), (32, 3), (10, 4), (31, 23), (5, 26), (3, 7), (9, 1), (8, 29), (10, 1), (18, 6), (15, 13), (5, 16), (26, 10), (1, 8), (17, 22), (28, 21), (17, 14), (20, 0), (30, 8), (17, 7), (13, 13), (26, 0), (22, 3), (6, 6), (26, 24), (4, 29), (5, 10), (5, 9), (12, 17), (28, 5), (16, 12), (25, 16), (17, 19), (28, 28), (32, 24), (20, 8), (10, 10), (26, 13), (9, 23), (10, 2), (27, 8), (23, 19), (17, 16), (13, 26), (14, 26), (13, 6), (1, 23), (13, 21), (6, 17), (9, 18), (6, 21), (6, 13), (19, 5), (18, 24), (26, 8), (5, 7), (2, 28), (25, 18), (31, 0), (28, 1), (6, 18), (28, 23), (18, 27), (27, 6), (7, 6), (7, 1), (10, 17), (0, 10), (22, 24), (2, 11), (9, 11), (0, 29), (12, 15), (15, 17), (1, 29), (7, 11), (22, 15), (11, 9), (4, 26), (3, 24), (29, 9), (29, 26), (10, 20), (17, 29), (26, 1), (18, 4), (31, 24), (26, 15), (8, 13), (15, 15), (30, 24), (2, 25), (20, 14), (3, 21), (3, 25), (9, 12), (1, 12), (31, 14), (30, 11), (8, 16), (20, 20), (16, 8), (3, 10), (28, 15), (20, 12), (2, 23), (16, 9), (24, 24), (6, 20), (13, 5), (5, 15), (15, 28), (12, 9), (8, 26), (15, 10), (4, 8), (19, 19), (10, 23), (7, 23), (21, 10), (3, 20), (0, 18), (20, 21), (8, 15), (6, 11), (14, 1), (15, 1), (21, 6), (28, 24), (22, 28), (24, 4), (32, 19), (26, 26), (7, 3), (4, 20), (14, 22), (9, 4), (26, 22), (30, 2), (26, 3), (14, 13), (6, 16), (29, 19), (23, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 15), (18, 16), (31, 12), (6, 14), (28, 20), (18, 27), (2, 19), (30, 16), (13, 18), (26, 19), (7, 13), (0, 26), (9, 0), (19, 15), (14, 7), (30, 18), (25, 16), (2, 8), (5, 4), (17, 24), (14, 24), (7, 16), (26, 26), (29, 1), (20, 24), (29, 26), (8, 19), (4, 5), (7, 21), (18, 5), (13, 0), (30, 26), (22, 10), (21, 16), (24, 27), (12, 26), (11, 15), (31, 21), (11, 17), (19, 29), (7, 7), (3, 5), (22, 28), (27, 21), (29, 19), (7, 24), (3, 4), (8, 23), (16, 4), (10, 15), (27, 4), (13, 3), (25, 5), (23, 11), (2, 26), (28, 10), (30, 17), (25, 21), (1, 21), (14, 0), (11, 26), (4, 21), (20, 21), (27, 18), (26, 11), (29, 9), (3, 27), (11, 9), (28, 22), (5, 8), (31, 13), (4, 2), (13, 23), (28, 2), (9, 3), (2, 10), (25, 6), (19, 20), (13, 7), (4, 26), (11, 4), (14, 19), (18, 17), (21, 15), (15, 17), (13, 16), (12, 2), (20, 26), (21, 7), (31, 27), (31, 1), (17, 5), (12, 10), (17, 10), (26, 7), (6, 13), (22, 26), (23, 20), (19, 5), (4, 1), (2, 27), (7, 0), (1, 9), (29, 18), (27, 23), (11, 18), (18, 4), (1, 13), (22, 19), (19, 26), (1, 5), (9, 26), (31, 25), (0, 17), (27, 15), (28, 8), (2, 20), (20, 2), (19, 12), (22, 7), (11, 16), (18, 23), (23, 21), (7, 18), (19, 4), (11, 13), (10, 2), (30, 6), (23, 17), (18, 8), (6, 28), (28, 19), (25, 7), (5, 11), (18, 6), (17, 9), (7, 22), (5, 15), (14, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (37, 5), (15, 21), (10, 22), (26, 35), (11, 29), (8, 30), (19, 28), (2, 5), (37, 26), (31, 19), (11, 24), (20, 34), (35, 5), (4, 26), (5, 34), (1, 34), (0, 28), (1, 10), (4, 32), (0, 6), (1, 0), (17, 37), (19, 15), (14, 36), (31, 2), (10, 3), (27, 29), (24, 10), (15, 8), (21, 7), (3, 35), (7, 24), (17, 34), (16, 22), (17, 9), (37, 11), (14, 6), (24, 21), (4, 6), (7, 12), (13, 1), (30, 23), (33, 8), (23, 30), (12, 20), (14, 28), (12, 4), (17, 31), (13, 16), (24, 1), (1, 24), (15, 29), (7, 33), (4, 18), (13, 33), (23, 36), (10, 16), (8, 18), (21, 16), (22, 20), (24, 7), (17, 6), (2, 20), (4, 34), (37, 13), (22, 25), (18, 19), (6, 19), (2, 2), (28, 22), (9, 17), (20, 22), (36, 11), (29, 20), (9, 34), (30, 37), (4, 29), (8, 3), (20, 36), (36, 7), (4, 3), (9, 24), (20, 21), (27, 37), (29, 33), (28, 23), (23, 23), (17, 22), (35, 19), (25, 21), (22, 0), (12, 15), (14, 26), (35, 22), (21, 20), (24, 24), (36, 33), (21, 28), (5, 23), (34, 30), (6, 18), (11, 25), (2, 16), (28, 16), (8, 0), (31, 21), (23, 17), (11, 15), (17, 8), (29, 19), (24, 12), (28, 32), (32, 11), (33, 20), (25, 4), (27, 28), (27, 35), (15, 32), (6, 33), (16, 28), (35, 18), (19, 1), (26, 8), (6, 1), (37, 21), (18, 31), (26, 1), (18, 12), (21, 29), (20, 29), (11, 12), (2, 10), (9, 6), (2, 26), (5, 9), (37, 29), (5, 4), (25, 29), (20, 1), (12, 34), (16, 25), (3, 8), (1, 1), (16, 33), (1, 20), (31, 20), (37, 8), (7, 19), (24, 16), (23, 3), (13, 6), (35, 36), (16, 37), (33, 0), (35, 27), (30, 0), (9, 14), (0, 18), (27, 31), (32, 23), (22, 23), (1, 3), (26, 19), (19, 30), (34, 36), (13, 21), (13, 18), (15, 13), (0, 9), (18, 10), (24, 35), (32, 32), (7, 22), (11, 17), (7, 30), (32, 8), (3, 0), (25, 16), (9, 3), (20, 28), (2, 14), (2, 23), (5, 28), (21, 34), (29, 14), (23, 8), (8, 33), (16, 20), (24, 30), (6, 16), (17, 30), (25, 27), (34, 12), (23, 15), (32, 12), (36, 36), (19, 27), (36, 29), (4, 8), (30, 19), (5, 20), (21, 25), (28, 18), (16, 21), (15, 17), (26, 15), (8, 32), (1, 15), (12, 35), (5, 6), (24, 23), (3, 22), (34, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 34x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 36), (16, 15), (2, 23), (9, 3), (26, 19), (9, 21), (5, 35), (29, 15), (31, 26), (11, 37), (28, 32), (31, 38), (25, 31), (29, 20), (3, 32), (11, 7), (27, 25), (30, 12), (28, 13), (33, 27), (22, 14), (9, 33), (1, 32), (10, 0), (11, 33), (11, 21), (9, 7), (29, 2), (7, 27), (28, 9), (15, 4), (31, 19), (26, 31), (19, 4), (14, 36), (27, 32), (1, 20), (20, 13), (25, 30), (21, 22), (6, 4), (14, 5), (14, 15), (20, 15), (4, 15), (25, 9), (23, 36), (2, 7), (33, 30), (26, 34), (17, 37), (28, 21), (25, 5), (17, 5), (9, 27), (12, 36), (3, 29), (24, 3), (19, 30), (2, 11), (31, 22), (0, 32), (21, 15), (14, 17), (29, 37), (16, 12), (6, 24), (11, 25), (18, 7), (2, 0), (15, 32), (5, 24), (28, 17), (28, 8), (11, 34), (4, 12), (21, 8), (4, 34), (31, 21), (14, 10), (21, 19), (14, 14), (0, 8), (9, 19), (4, 36), (17, 16), (27, 36), (1, 21), (10, 27), (28, 31), (32, 25), (20, 9), (30, 35), (24, 13), (5, 15), (0, 4), (19, 18), (9, 31), (33, 0), (24, 9), (5, 28), (22, 30), (31, 31), (14, 13), (6, 33), (19, 33), (16, 28), (29, 8), (19, 2), (8, 0), (6, 13), (2, 19), (8, 11), (28, 20), (23, 1), (10, 22), (27, 5), (16, 3), (21, 5), (23, 23), (24, 37), (24, 34), (4, 7), (7, 21), (3, 19), (32, 0), (26, 35), (2, 4), (32, 26), (22, 1), (31, 33), (7, 12), (24, 38), (23, 26), (26, 26), (32, 23), (32, 20), (11, 28), (22, 15), (8, 33), (20, 1), (33, 28), (24, 22), (33, 1), (9, 35), (9, 22), (12, 6), (13, 31), (33, 4), (3, 28), (12, 29), (20, 22), (15, 10), (1, 19), (25, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 3), (18, 12), (20, 5), (19, 15), (13, 30), (16, 14), (5, 32), (16, 16), (12, 26), (20, 2), (30, 15), (10, 17), (17, 13), (31, 22), (29, 28), (29, 15), (10, 28), (28, 32), (34, 22), (18, 20), (21, 16), (17, 25), (7, 11), (31, 18), (21, 17), (22, 11), (2, 29), (34, 29), (26, 17), (16, 22), (10, 15), (28, 21), (31, 2), (10, 24), (32, 30), (34, 13), (8, 28), (14, 25), (8, 8), (36, 8), (9, 32), (21, 7), (11, 34), (0, 10), (35, 28), (2, 19), (13, 23), (15, 2), (17, 8), (8, 9), (30, 18), (23, 11), (19, 5), (8, 7), (15, 24), (18, 14), (34, 27), (3, 21), (13, 9), (23, 16), (5, 14), (15, 23), (0, 5), (11, 33), (25, 0), (23, 34), (33, 0), (11, 28), (8, 27), (35, 23), (16, 7), (18, 10), (19, 4), (4, 24), (11, 19), (20, 8), (27, 23), (15, 25), (32, 26), (9, 6), (10, 12), (30, 21), (19, 34), (36, 1), (31, 15), (30, 31), (20, 11), (6, 8), (34, 3), (27, 14), (0, 23), (2, 31), (5, 13), (27, 13), (5, 1), (12, 28), (20, 32), (6, 5), (15, 22), (0, 12), (5, 27), (23, 26), (29, 26), (19, 25), (35, 10), (30, 28), (2, 27), (35, 3), (1, 25), (4, 2), (21, 23), (13, 32), (9, 7), (14, 28), (32, 11), (0, 15), (18, 17), (30, 24), (8, 3), (25, 33), (28, 20), (1, 27), (19, 10), (31, 32), (21, 22), (25, 34), (34, 9), (16, 24), (23, 15), (36, 25), (28, 23), (20, 26), (23, 4), (5, 2), (2, 20), (11, 0), (18, 24), (3, 12), (15, 32), (32, 15), (0, 2), (9, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 19), (4, 15), (7, 6), (32, 11), (19, 15), (9, 25), (16, 5), (2, 16), (19, 16), (20, 30), (12, 28), (34, 16), (5, 22), (25, 14), (18, 11), (10, 12), (6, 29), (31, 20), (31, 31), (9, 3), (11, 19), (24, 10), (27, 31), (3, 6), (26, 25), (23, 31), (21, 4), (34, 28), (14, 14), (18, 21), (16, 2), (14, 29), (31, 17), (8, 26), (2, 21), (22, 22), (1, 18), (34, 0), (13, 27), (29, 18), (25, 26), (0, 7), (23, 21), (18, 26), (23, 9), (30, 11), (27, 17), (27, 0), (26, 9), (11, 12), (14, 9), (2, 2), (22, 9), (3, 25), (3, 8), (17, 18), (19, 28), (16, 29), (12, 4), (30, 13), (10, 21), (28, 11), (5, 10), (3, 0), (2, 10), (10, 9), (15, 16), (23, 7), (4, 29), (10, 5), (1, 10), (2, 6), (29, 19), (0, 21), (30, 25), (16, 16), (13, 23), (20, 9), (33, 31), (9, 11), (24, 9), (25, 7), (20, 28), (25, 30), (22, 25), (21, 20), (14, 12), (11, 27), (4, 3), (14, 5), (30, 6), (18, 5), (28, 16), (11, 20), (0, 25), (1, 21), (13, 14), (29, 31), (7, 17), (21, 19), (31, 3), (4, 16), (16, 4), (10, 24), (1, 29), (3, 14), (4, 27), (32, 13), (10, 2), (23, 27), (12, 24), (24, 16), (20, 2), (0, 20), (31, 4), (33, 15), (25, 25), (14, 31), (5, 28), (2, 22), (2, 27), (34, 3), (12, 23), (25, 21), (25, 31), (24, 2), (0, 10), (25, 3), (34, 19), (27, 2), (11, 5), (34, 4), (7, 23), (2, 14), (16, 11), (23, 5), (9, 2), (26, 6), (28, 12), (25, 1), (29, 11), (0, 14), (0, 13), (15, 0), (0, 17), (17, 4), (33, 13), (14, 30), (17, 24), (22, 24), (15, 14), (26, 23), (5, 0), (7, 30), (4, 31), (13, 11), (34, 11), (1, 5), (19, 29), (29, 1), (24, 17), (19, 23), (20, 14), (19, 4), (7, 21), (28, 25), (1, 2), (0, 19), (8, 12), (15, 7), (30, 26), (4, 25), (25, 19), (13, 10), (0, 15), (17, 29), (1, 4), (8, 2), (23, 17), (29, 24), (12, 15), (12, 3), (23, 20), (17, 16), (9, 9), (13, 7), (15, 22), (31, 28), (7, 15), (11, 28), (22, 2), (26, 31), (24, 31), (7, 27), (23, 0), (0, 4), (7, 0), (14, 22), (16, 25), (21, 27), (27, 27), (6, 0), (2, 28), (22, 5), (28, 0), (26, 19), (16, 14), (15, 8), (13, 15), (3, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 30x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 18), (18, 19), (18, 16), (6, 11), (10, 0), (19, 0), (10, 23), (8, 23), (4, 1), (25, 29), (4, 19), (6, 0), (21, 8), (8, 32), (21, 17), (8, 28), (0, 6), (27, 12), (24, 2), (19, 11), (9, 28), (24, 7), (19, 2), (9, 22), (13, 6), (0, 16), (5, 1), (7, 33), (2, 16), (21, 0), (14, 29), (0, 19), (27, 23), (9, 19), (18, 24), (26, 25), (11, 25), (4, 26), (25, 1), (28, 21), (2, 2), (3, 12), (5, 28), (19, 23), (0, 33), (26, 4), (20, 27), (0, 14), (18, 22), (12, 31), (28, 30), (19, 14), (17, 31), (22, 22), (15, 10), (28, 28), (24, 8), (10, 28), (15, 17), (6, 27), (24, 18), (16, 8), (19, 15), (21, 18), (6, 9), (10, 6), (19, 16), (6, 17), (2, 15), (20, 16), (12, 7), (2, 21), (29, 29), (5, 13), (17, 19), (12, 22), (16, 2), (2, 7), (16, 22), (21, 3), (21, 25), (18, 27), (10, 16), (24, 31), (26, 26), (15, 31), (10, 33), (5, 24), (2, 30), (13, 16), (2, 1), (28, 15), (10, 15), (27, 22), (12, 15), (1, 24), (9, 11), (6, 10), (13, 18), (16, 17), (17, 21), (11, 21), (4, 20), (7, 10), (26, 13), (17, 30), (3, 13), (28, 1), (17, 28), (29, 27), (8, 15), (26, 29), (24, 1), (28, 20), (11, 16), (22, 29), (0, 25), (21, 27), (14, 10), (22, 12), (20, 30), (22, 6), (22, 21), (3, 10), (18, 20), (5, 16), (19, 32), (18, 6), (16, 5), (22, 25), (4, 8), (26, 0), (4, 28), (2, 19), (6, 5), (1, 26), (12, 8), (8, 20), (17, 12), (9, 5), (11, 29), (13, 26), (1, 10), (24, 0), (20, 13), (19, 19), (24, 13), (7, 9), (6, 22), (12, 0), (29, 11), (8, 9), (10, 10), (0, 7), (15, 33), (23, 15), (2, 6), (7, 2), (13, 28), (21, 24), (21, 31), (20, 8), (13, 25), (15, 7), (0, 17), (21, 32), (12, 30), (15, 30), (10, 11), (3, 9), (10, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 0), (28, 26), (28, 19), (4, 15), (29, 27), (5, 9), (3, 24), (38, 3), (20, 2), (33, 21), (8, 22), (1, 4), (35, 18), (14, 17), (3, 35), (32, 12), (7, 27), (20, 25), (29, 3), (33, 20), (29, 12), (25, 10), (33, 4), (27, 37), (28, 30), (0, 26), (28, 10), (38, 33), (12, 14), (37, 4), (27, 33), (35, 30), (27, 35), (26, 31), (8, 9), (30, 36), (16, 0), (38, 6), (0, 8), (36, 32), (0, 28), (27, 7), (20, 16), (23, 15), (10, 11), (29, 24), (10, 16), (14, 16), (19, 23), (9, 5), (5, 31), (6, 11), (37, 25), (38, 20), (22, 3), (5, 1), (20, 21), (28, 14), (6, 12), (36, 22), (8, 23), (11, 35), (37, 0), (4, 32), (30, 21), (23, 24), (5, 8), (13, 14), (14, 27), (34, 22), (3, 7), (21, 2), (6, 13), (21, 13), (11, 34), (18, 1), (2, 14), (12, 5), (9, 18), (14, 32), (9, 17), (15, 14), (29, 34), (32, 29), (11, 13), (25, 25), (5, 3), (33, 38), (33, 24), (22, 15), (36, 7), (25, 11), (12, 20), (18, 36), (24, 30), (33, 29), (12, 6), (27, 6), (26, 15), (27, 32), (10, 31), (6, 19), (16, 3), (20, 29), (18, 22), (38, 9), (8, 4), (20, 6), (34, 7), (7, 19), (32, 4), (30, 23), (2, 4), (2, 6), (11, 3), (1, 15), (0, 36), (36, 12), (13, 23), (11, 1), (18, 35), (29, 7), (28, 37), (22, 30), (29, 11), (0, 38), (29, 17), (18, 3), (9, 29), (1, 5), (13, 6), (25, 23), (33, 1), (7, 17), (35, 36), (32, 20), (14, 0), (30, 11), (28, 29), (7, 11), (4, 17), (22, 35), (1, 10), (30, 15), (10, 14), (16, 27), (8, 31), (19, 20), (31, 11), (10, 38), (38, 12), (0, 3), (5, 38), (13, 5), (38, 29), (33, 23), (2, 15), (32, 21), (12, 38), (5, 19), (21, 18), (23, 27), (11, 2), (16, 34), (28, 15), (11, 31), (7, 0), (14, 26), (27, 31), (16, 29), (38, 15), (26, 16), (35, 28), (19, 13), (12, 27), (20, 7), (22, 1), (37, 10), (20, 28), (37, 1), (12, 35), (23, 2), (12, 10), (7, 21), (30, 29), (24, 33), (9, 26), (18, 7), (19, 6), (0, 24), (30, 9), (0, 6), (29, 20), (16, 28), (3, 37), (9, 36), (10, 0), (1, 25), (18, 15), (25, 17), (11, 33), (19, 11), (33, 2), (16, 17), (8, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 20), (25, 0), (27, 10), (23, 26), (19, 21), (9, 24), (11, 3), (3, 16), (18, 31), (4, 36), (19, 20), (13, 18), (11, 2), (27, 7), (6, 30), (14, 30), (22, 19), (23, 6), (25, 29), (11, 13), (22, 37), (21, 13), (0, 1), (7, 13), (6, 14), (13, 1), (20, 36), (9, 25), (30, 32), (8, 0), (9, 34), (23, 7), (2, 19), (11, 28), (3, 5), (27, 30), (19, 13), (30, 6), (22, 35), (27, 21), (13, 34), (9, 18), (34, 26), (18, 18), (29, 15), (23, 11), (8, 27), (28, 25), (31, 23), (2, 6), (21, 2), (15, 11), (26, 34), (23, 2), (20, 31), (14, 15), (19, 3), (16, 13), (10, 15), (18, 8), (33, 20), (0, 30), (22, 29), (19, 6), (19, 36), (31, 17), (9, 13), (16, 36), (0, 22), (9, 33), (7, 6), (2, 20), (4, 4), (20, 5), (10, 1), (21, 9), (30, 16), (15, 31), (31, 10), (14, 16), (10, 25), (31, 9), (4, 5), (31, 13), (0, 2), (8, 28), (8, 16), (4, 35), (25, 16), (32, 29), (12, 14), (5, 19), (32, 8), (13, 17), (33, 2), (6, 25), (5, 24), (30, 27), (31, 6), (24, 34), (27, 36), (8, 20), (7, 18), (2, 1), (7, 14), (30, 20), (7, 2), (5, 14), (15, 34), (4, 1), (10, 19), (20, 37), (31, 14), (1, 19), (11, 17), (20, 12), (28, 24), (7, 29), (19, 17), (8, 6), (8, 4), (9, 29), (31, 32), (16, 10), (25, 7), (0, 3), (9, 10), (21, 24), (0, 5), (12, 3), (7, 26), (23, 23), (31, 7), (18, 2), (1, 25), (18, 27), (22, 3), (11, 22), (5, 5), (23, 14), (7, 23), (12, 11), (0, 16), (2, 24), (13, 9), (30, 5), (5, 27), (24, 1), (25, 24), (10, 23), (18, 17), (6, 24), (25, 31), (22, 25), (2, 18), (4, 30), (5, 15), (15, 28), (4, 7), (26, 26), (10, 20), (3, 31), (9, 2), (31, 27), (21, 35), (0, 8), (18, 21), (18, 23), (14, 1), (21, 17), (9, 11), (9, 22), (5, 22), (3, 15), (34, 33), (1, 37), (26, 19), (12, 34), (34, 14), (33, 31), (22, 17), (3, 14), (8, 29), (1, 35), (2, 15), (4, 12), (20, 14), (20, 11), (21, 31), (14, 12), (2, 32), (18, 37), (8, 24), (15, 21), (34, 25), (14, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 33), (4, 2), (5, 17), (0, 37), (35, 5), (4, 11), (31, 30), (34, 19), (28, 14), (28, 24), (3, 26), (1, 21), (2, 34), (0, 32), (3, 12), (37, 14), (34, 7), (17, 13), (19, 14), (16, 22), (2, 12), (25, 25), (35, 28), (22, 13), (10, 17), (14, 5), (28, 3), (6, 2), (12, 28), (15, 26), (13, 37), (33, 21), (34, 6), (19, 32), (16, 33), (21, 20), (18, 0), (20, 8), (35, 4), (16, 34), (9, 9), (14, 6), (2, 36), (13, 1), (23, 23), (19, 24), (3, 20), (37, 2), (14, 18), (4, 8), (2, 18), (26, 28), (28, 5), (38, 11), (25, 8), (7, 3), (1, 5), (35, 21), (18, 24), (2, 35), (30, 7), (36, 8), (38, 0), (12, 35), (29, 6), (32, 28), (21, 35), (18, 30), (4, 21), (17, 37), (15, 6), (30, 21), (1, 23), (11, 0), (10, 3), (25, 12), (8, 6), (12, 26), (37, 8), (24, 27), (18, 19), (30, 33), (1, 22), (7, 35), (7, 20), (8, 16), (31, 18), (36, 2), (31, 36), (0, 23), (13, 36), (2, 16), (33, 2), (3, 11), (35, 30), (27, 34), (21, 14), (0, 9), (29, 24), (7, 25), (23, 33), (15, 3), (23, 24), (37, 10), (23, 37), (31, 29), (7, 10), (5, 33), (29, 4), (34, 11), (1, 10), (37, 5), (0, 20), (25, 4), (13, 12), (17, 20), (38, 3), (17, 14), (36, 23), (4, 6), (20, 22), (35, 27), (21, 5), (34, 29), (5, 18), (26, 10), (9, 29), (22, 8), (34, 31), (34, 9), (23, 7), (2, 6), (12, 36), (22, 11), (14, 11), (12, 4), (26, 24), (5, 2), (18, 13), (33, 36), (19, 26), (8, 11), (1, 20), (32, 10), (21, 18), (16, 20), (9, 5), (32, 8), (35, 31), (28, 25), (23, 22), (28, 19), (1, 14), (21, 4), (31, 12), (15, 32), (9, 18), (0, 13), (9, 2), (23, 14), (5, 20), (8, 0), (26, 1), (6, 5), (7, 30), (13, 32), (15, 13), (0, 36), (36, 10), (34, 5), (11, 12), (36, 31), (3, 37), (23, 32), (8, 23), (32, 34), (23, 5), (3, 34), (10, 32), (10, 36), (8, 7), (37, 7), (6, 28), (29, 35), (25, 13), (14, 3), (23, 19), (36, 14), (9, 13), (36, 13), (25, 11), (17, 34), (31, 1), (5, 26), (27, 16), (34, 26), (26, 13), (1, 35), (8, 26), (8, 37), (5, 31), (21, 15), (31, 32), (14, 34), (13, 35), (32, 31), (15, 15), (34, 36), (27, 4), (14, 32), (1, 24), (13, 9), (27, 15), (12, 34), (0, 35), (19, 1), (38, 20), (32, 20), (9, 34), (5, 12), (28, 15), (35, 37), (6, 37), (37, 35), (18, 15), (20, 3), (26, 33), (24, 1), (38, 21), (30, 31), (25, 26), (31, 35), (38, 29), (0, 16), (35, 25), (30, 2), (2, 2), (0, 12), (3, 7), (36, 34), (13, 0), (36, 5), (17, 21), (1, 18), (28, 4), (29, 32), (25, 2), (6, 3), (3, 5), (2, 13), (27, 8), (38, 18), (33, 8), (3, 9), (24, 19), (33, 24), (10, 15), (6, 36), (17, 22), (16, 28), (37, 21), (31, 0), (14, 17), (20, 21), (35, 7), (33, 20), (12, 32), (8, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 37x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 37), (14, 7), (20, 23), (25, 12), (4, 17), (6, 24), (17, 37), (18, 24), (30, 2), (13, 2), (33, 11), (12, 7), (24, 12), (15, 22), (6, 1), (4, 3), (36, 31), (21, 3), (23, 23), (1, 12), (26, 12), (32, 21), (23, 6), (21, 8), (5, 28), (27, 4), (14, 23), (29, 31), (6, 3), (27, 25), (26, 4), (8, 20), (3, 7), (14, 15), (13, 23), (27, 14), (22, 37), (23, 37), (32, 22), (2, 9), (12, 36), (30, 27), (23, 24), (20, 33), (7, 27), (29, 21), (28, 31), (31, 10), (31, 26), (12, 31), (32, 20), (2, 36), (34, 29), (15, 10), (16, 8), (0, 7), (15, 27), (3, 0), (36, 28), (29, 37), (34, 0), (34, 17), (21, 16), (10, 27), (12, 35), (26, 5), (25, 20), (17, 14), (22, 17), (26, 18), (13, 19), (36, 10), (5, 17), (22, 8), (30, 10), (1, 2), (10, 33), (15, 35), (7, 7), (27, 3), (9, 4), (10, 21), (19, 13), (8, 2), (26, 20), (33, 2), (24, 34), (11, 21), (8, 37), (32, 16), (29, 14), (14, 3), (34, 2), (14, 19), (31, 28), (34, 34), (25, 11), (25, 18), (15, 26), (9, 28), (8, 27), (19, 31), (22, 27), (3, 3), (32, 35), (35, 18), (13, 7), (30, 24), (16, 16), (11, 32), (1, 23), (1, 19), (34, 18), (31, 30), (16, 29), (33, 29), (24, 10), (8, 30), (1, 32), (23, 28), (22, 18), (3, 11), (9, 12), (27, 24), (20, 1), (26, 33), (18, 27), (21, 15), (17, 25), (19, 26), (5, 15), (12, 9), (31, 0), (19, 21), (34, 27), (15, 14), (10, 17), (8, 4), (33, 0), (29, 12), (21, 10), (1, 35), (29, 24), (25, 8), (24, 0), (7, 13), (12, 8), (17, 15), (23, 22), (11, 31), (5, 20), (30, 33), (23, 31), (28, 12), (24, 15), (1, 34), (27, 9), (33, 20), (19, 0), (9, 15), (6, 18), (24, 20), (8, 3), (18, 9), (6, 0), (0, 24), (9, 10), (18, 36), (9, 2), (25, 3), (7, 19), (24, 9), (28, 25), (11, 35), (27, 6), (13, 6), (2, 10), (33, 14), (14, 21), (25, 4), (10, 24), (32, 8), (8, 33), (11, 30), (29, 16), (32, 11), (29, 1), (31, 8), (26, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 13), (8, 1), (24, 23), (29, 3), (16, 17), (21, 3), (24, 0), (25, 20), (6, 26), (21, 0), (31, 11), (23, 24), (25, 11), (3, 4), (5, 24), (28, 20), (29, 22), (14, 13), (8, 17), (26, 13), (1, 23), (11, 26), (12, 12), (30, 14), (1, 0), (17, 5), (19, 24), (6, 15), (23, 10), (2, 21), (27, 22), (6, 10), (19, 20), (30, 12), (24, 9), (0, 3), (4, 3), (30, 2), (18, 5), (18, 23), (18, 1), (20, 6), (23, 7), (1, 10), (20, 8), (21, 21), (5, 22), (4, 15), (2, 25), (29, 4), (12, 17), (29, 21), (21, 25), (22, 6), (28, 23), (2, 13), (25, 14), (22, 22), (12, 21), (15, 10), (32, 11), (30, 20), (2, 5), (24, 22), (13, 20), (13, 5), (21, 29), (15, 19), (27, 21), (3, 1), (25, 16), (31, 26), (9, 17), (5, 9), (30, 11), (13, 7), (11, 4), (9, 0), (15, 24), (7, 25), (23, 27), (3, 25), (4, 22), (13, 18), (26, 17), (24, 28), (22, 12), (3, 5), (16, 29), (21, 8), (4, 14), (4, 24), (31, 2), (32, 21), (26, 18), (22, 21), (1, 1), (23, 9), (19, 13), (11, 19), (17, 28), (26, 3), (14, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 30), (33, 31), (36, 19), (20, 34), (24, 21), (6, 34), (4, 23), (7, 1), (3, 15), (4, 34), (20, 33), (29, 35), (31, 10), (19, 28), (22, 8), (20, 1), (16, 4), (33, 7), (12, 29), (25, 4), (28, 31), (13, 17), (5, 5), (7, 0), (17, 1), (34, 16), (18, 17), (30, 30), (34, 7), (30, 33), (20, 2), (32, 13), (24, 37), (36, 17), (34, 36), (0, 15), (7, 22), (25, 22), (10, 2), (11, 20), (28, 7), (4, 22), (37, 37), (27, 35), (36, 10), (13, 36), (30, 31), (9, 26), (7, 5), (18, 18), (28, 27), (0, 35), (18, 3), (14, 25), (33, 2), (26, 8), (34, 5), (17, 6), (29, 28), (32, 11), (29, 27), (28, 22), (29, 14), (34, 30), (21, 11), (0, 33), (28, 29), (15, 25), (24, 4), (4, 38), (36, 15), (12, 24), (28, 13), (1, 11), (16, 20), (36, 21), (23, 28), (35, 16), (3, 22), (10, 35), (8, 11), (13, 6), (8, 36), (19, 12), (17, 21), (22, 25), (18, 12), (16, 11), (25, 35), (17, 17), (26, 4), (35, 34), (36, 13), (24, 29), (22, 35), (1, 30), (31, 7), (12, 21), (21, 20), (25, 13), (4, 36), (0, 31), (25, 32), (32, 7), (25, 28), (7, 7), (20, 24), (17, 36), (2, 35), (10, 10), (16, 10), (2, 22), (16, 25), (27, 15), (37, 13), (5, 2), (27, 4), (9, 36), (12, 35), (36, 33), (35, 20), (28, 23), (0, 30), (36, 18), (27, 20), (10, 24), (20, 13), (15, 14), (23, 2), (12, 30), (32, 3), (37, 11), (15, 16), (21, 17), (37, 26), (19, 22), (12, 22), (13, 12), (11, 1), (16, 15), (32, 24), (19, 27), (9, 24), (11, 19), (0, 2), (31, 22), (36, 26), (35, 14), (0, 36), (16, 3), (34, 37), (25, 19), (37, 6), (2, 24), (17, 37), (7, 15), (22, 34), (6, 8), (36, 35), (7, 32), (13, 7), (31, 2), (12, 9), (8, 9), (3, 34), (15, 20), (3, 4), (2, 38), (6, 22), (3, 2), (13, 9), (18, 31), (7, 21), (33, 5), (12, 26), (10, 36), (27, 2), (37, 30), (18, 5), (24, 16), (20, 17), (8, 26), (33, 10), (15, 15), (33, 21), (7, 36), (3, 23), (19, 4), (10, 15), (0, 17), (3, 29), (2, 2), (6, 15), (6, 33), (35, 24), (24, 17), (32, 33), (36, 5), (31, 36), (25, 26), (0, 28), (16, 30), (26, 34), (8, 8), (23, 29), (36, 29), (28, 25), (7, 3), (36, 27), (37, 12), (0, 5), (35, 19), (34, 8), (11, 38), (15, 38), (9, 29), (33, 33), (12, 37), (1, 26), (24, 24), (23, 13), (35, 5), (16, 38), (37, 8), (27, 21), (19, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 28), (4, 17), (25, 13), (17, 0), (8, 32), (4, 32), (19, 15), (12, 12), (2, 22), (9, 10), (9, 1), (21, 23), (1, 7), (7, 14), (15, 16), (2, 26), (0, 5), (29, 6), (10, 21), (24, 17), (23, 23), (5, 26), (8, 29), (19, 28), (25, 12), (6, 32), (29, 32), (22, 7), (17, 1), (20, 11), (26, 6), (25, 1), (27, 16), (0, 31), (11, 9), (16, 30), (6, 1), (22, 31), (23, 17), (5, 6), (27, 7), (6, 15), (10, 25), (8, 12), (29, 30), (15, 17), (1, 30), (28, 20), (9, 19), (20, 30), (16, 28), (16, 21), (6, 4), (7, 31), (25, 22), (17, 10), (17, 28), (30, 27), (1, 8), (3, 16), (20, 24), (8, 16), (13, 32), (30, 6), (1, 11), (19, 30), (19, 29), (3, 18), (25, 16), (11, 20), (19, 4), (18, 21), (24, 7), (29, 29), (8, 18), (28, 21), (30, 21), (18, 30), (20, 6), (8, 1), (17, 12), (18, 1), (19, 2), (22, 8), (26, 19), (25, 7), (7, 20), (14, 24), (27, 26), (17, 6), (12, 18), (27, 3), (2, 2), (30, 16), (20, 3), (3, 4), (5, 19), (15, 32), (4, 20), (17, 17), (28, 8), (30, 2), (7, 26), (5, 8), (10, 28), (30, 20), (20, 15), (2, 32), (12, 0), (1, 17), (23, 32), (3, 3), (7, 22), (21, 25), (19, 20), (1, 12), (28, 16), (24, 22), (4, 8), (4, 31), (27, 2), (14, 29), (24, 31), (23, 16), (20, 5), (22, 18), (11, 19), (20, 22), (7, 11), (29, 23), (22, 0), (0, 11), (16, 26), (7, 0), (3, 27), (16, 18), (8, 10), (11, 18), (7, 9), (18, 9), (24, 9), (6, 24), (3, 17), (22, 26), (18, 27), (28, 25), (15, 29), (19, 3), (4, 10), (9, 27), (11, 7), (23, 10), (29, 13), (16, 25), (29, 1), (1, 32), (14, 26), (19, 16), (26, 8), (3, 25), (9, 2), (6, 27), (29, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 38x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 27), (18, 32), (9, 5), (14, 19), (13, 28), (14, 8), (19, 26), (8, 20), (24, 17), (13, 5), (19, 23), (0, 21), (36, 29), (6, 17), (16, 29), (17, 18), (17, 27), (12, 15), (36, 24), (10, 8), (36, 15), (13, 8), (0, 22), (34, 2), (25, 21), (13, 14), (10, 29), (18, 27), (20, 10), (27, 13), (21, 16), (30, 2), (15, 16), (11, 22), (35, 33), (22, 15), (27, 6), (23, 23), (13, 29), (31, 29), (19, 1), (37, 18), (19, 8), (36, 0), (20, 18), (0, 10), (29, 18), (21, 8), (31, 21), (18, 10), (10, 5), (35, 9), (28, 21), (16, 0), (9, 11), (34, 4), (15, 4), (8, 32), (30, 32), (12, 1), (37, 5), (23, 14), (0, 3), (5, 4), (3, 3), (14, 3), (5, 1), (23, 30), (15, 33), (32, 26), (8, 28), (25, 15), (5, 17), (34, 11), (35, 8), (25, 13), (25, 24), (32, 15), (16, 1), (1, 14), (19, 10), (28, 25), (13, 9), (33, 0), (5, 29), (30, 23), (0, 1), (8, 7), (17, 5), (29, 31), (19, 32), (5, 25), (3, 27), (34, 33), (16, 19), (2, 6), (19, 15), (19, 24), (5, 6), (12, 13), (14, 6), (8, 5), (21, 22), (13, 10), (29, 16), (2, 4), (8, 15), (16, 30), (22, 19), (11, 28), (17, 7), (23, 27), (37, 11), (18, 31), (30, 13), (18, 0), (30, 16), (0, 23), (9, 32), (1, 18), (0, 27), (17, 13), (3, 28), (23, 0), (34, 3), (11, 18), (12, 32), (6, 30), (0, 6), (13, 26), (26, 19), (37, 24), (9, 9), (4, 16), (9, 16), (23, 18), (21, 21), (35, 17), (28, 6), (16, 23), (21, 14), (24, 30), (24, 19), (35, 7), (1, 3), (25, 29), (17, 11), (7, 33), (8, 30), (27, 10), (4, 7), (33, 13), (14, 1), (29, 1), (12, 16), (28, 31), (28, 13), (30, 14), (37, 25), (29, 21), (3, 15), (14, 17), (3, 14), (14, 10), (28, 9), (19, 31), (12, 3), (26, 3), (1, 8), (28, 12), (7, 25), (8, 0), (32, 14), (15, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 14), (18, 23), (9, 32), (4, 22), (30, 9), (21, 18), (14, 22), (13, 33), (21, 22), (14, 31), (17, 25), (27, 36), (20, 20), (17, 21), (28, 28), (15, 34), (4, 21), (26, 18), (2, 8), (16, 31), (29, 2), (22, 9), (10, 37), (4, 23), (4, 4), (14, 13), (4, 34), (28, 14), (7, 26), (14, 4), (18, 32), (6, 26), (30, 5), (8, 23), (21, 28), (23, 12), (15, 9), (13, 3), (8, 4), (28, 9), (11, 24), (0, 30), (15, 31), (1, 32), (12, 0), (25, 18), (23, 33), (2, 31), (5, 30), (15, 28), (28, 2), (0, 31), (8, 13), (18, 28), (29, 34), (24, 6), (5, 35), (7, 36), (23, 18), (19, 19), (7, 22), (23, 36), (19, 8), (1, 29), (18, 20), (1, 27), (24, 26), (8, 29), (30, 22), (16, 23), (22, 37), (10, 4), (10, 14), (30, 17), (3, 35), (0, 8), (27, 37), (16, 21), (2, 16), (2, 13), (28, 32), (29, 12), (30, 33), (18, 0), (20, 32), (3, 6), (12, 32), (26, 16), (25, 36), (25, 9), (23, 7), (5, 11), (16, 7), (25, 23), (15, 6), (12, 17), (30, 35), (16, 27), (26, 22), (13, 4), (27, 20), (24, 35), (16, 35), (3, 4), (8, 2), (24, 14), (25, 29), (1, 6), (6, 27), (21, 12), (22, 3), (28, 29), (6, 33), (1, 21), (15, 12), (15, 5), (12, 34), (1, 11), (9, 9), (29, 25), (22, 5), (18, 6), (13, 21), (17, 26), (17, 2), (10, 22), (10, 30), (3, 19), (21, 26), (15, 1), (23, 20), (3, 25), (8, 25), (15, 2), (4, 25), (6, 13), (28, 12), (4, 27), (22, 1), (16, 17), (12, 6), (17, 4), (26, 13), (29, 13), (3, 3), (23, 27), (14, 6), (6, 3), (4, 30), (17, 12), (11, 18), (3, 15), (6, 30), (27, 11), (25, 5), (6, 35), (24, 23), (12, 21), (3, 33), (26, 7), (26, 17), (15, 22), (27, 23), (3, 32), (25, 26), (16, 5), (9, 19), (11, 30), (12, 27), (14, 0), (0, 6), (0, 25), (18, 30), (17, 10), (20, 5), (7, 33), (20, 22), (25, 4), (2, 3), (9, 33), (25, 24), (24, 22), (11, 5), (25, 20), (26, 29), (24, 5), (18, 34), (10, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 3), (28, 17), (24, 19), (14, 21), (15, 1), (28, 20), (35, 19), (26, 4), (21, 6), (7, 1), (32, 8), (17, 29), (28, 7), (35, 5), (24, 30), (5, 1), (37, 14), (8, 15), (22, 13), (17, 24), (23, 20), (14, 3), (29, 28), (13, 9), (12, 1), (2, 0), (27, 27), (36, 22), (27, 20), (23, 7), (32, 16), (19, 15), (11, 3), (29, 0), (28, 25), (8, 5), (1, 15), (28, 13), (17, 13), (25, 21), (8, 12), (35, 0), (20, 22), (29, 3), (11, 18), (7, 6), (10, 14), (30, 28), (12, 29), (28, 29), (34, 27), (32, 25), (6, 20), (7, 8), (4, 7), (36, 23), (35, 22), (3, 14), (26, 22), (29, 19), (10, 7), (15, 16), (12, 10), (1, 26), (0, 20), (18, 23), (30, 2), (2, 23), (2, 29), (4, 17), (1, 20), (33, 25), (29, 14), (30, 13), (17, 23), (26, 27), (23, 4), (3, 4), (9, 18), (16, 30), (6, 22), (4, 4), (15, 3), (5, 17), (21, 5), (2, 12), (7, 9), (14, 13), (24, 29), (23, 3), (1, 22), (29, 20), (31, 7), (10, 16), (7, 20), (12, 12), (15, 10), (7, 26), (10, 10), (29, 29), (27, 4), (0, 26), (18, 12), (1, 2), (32, 18), (37, 19), (32, 9), (25, 20), (30, 5), (3, 8), (9, 5), (27, 22), (23, 16), (35, 16), (33, 11), (13, 3), (32, 19), (27, 6), (24, 12), (26, 15), (10, 30), (25, 4), (20, 19), (27, 18), (10, 15), (12, 28), (9, 3), (14, 29), (3, 2), (25, 32), (22, 32), (25, 0), (29, 6), (30, 30), (10, 5), (0, 21), (10, 19), (3, 0), (35, 11), (34, 6), (0, 7), (5, 16), (4, 8), (14, 0), (7, 28), (7, 25), (27, 32), (26, 24), (34, 31), (3, 23), (16, 10), (10, 0), (1, 9), (18, 32), (7, 23), (20, 13), (16, 32), (20, 2), (27, 5), (34, 16), (5, 21), (36, 19), (7, 19), (13, 27), (1, 10), (22, 17), (30, 24), (1, 31), (11, 16), (33, 32), (33, 10), (28, 6), (10, 32), (17, 7), (13, 12), (31, 17), (22, 12), (10, 26), (11, 9), (23, 19), (13, 2), (4, 21), (22, 1), (36, 18), (31, 30), (21, 14), (20, 17), (23, 21), (14, 23), (16, 29), (26, 21), (13, 28), (23, 29), (0, 17), (12, 18), (24, 13), (3, 32), (34, 8), (31, 11), (0, 9), (21, 20), (34, 25), (35, 7), (3, 10), (9, 19), (26, 7), (13, 32), (6, 18), (36, 13), (13, 20), (26, 3), (16, 0), (27, 9), (11, 0), (11, 20), (33, 7), (2, 20), (31, 2), (33, 4), (29, 4), (24, 2), (14, 30), (31, 24), (32, 15), (15, 2), (31, 5), (33, 27), (9, 2), (19, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 27), (10, 23), (25, 16), (7, 23), (11, 5), (3, 4), (28, 18), (26, 0), (2, 3), (14, 0), (7, 15), (7, 24), (27, 13), (1, 24), (20, 3), (10, 16), (11, 9), (0, 14), (23, 10), (15, 7), (4, 1), (5, 15), (32, 2), (27, 19), (31, 12), (8, 18), (29, 9), (8, 25), (30, 26), (29, 15), (1, 0), (16, 28), (28, 22), (21, 3), (10, 18), (19, 8), (7, 8), (16, 25), (22, 14), (4, 20), (6, 16), (21, 23), (28, 20), (17, 11), (24, 6), (32, 22), (9, 12), (28, 8), (24, 23), (16, 12), (16, 10), (1, 20), (20, 23), (11, 18), (24, 12), (32, 28), (10, 1), (20, 28), (14, 29), (20, 30), (21, 7), (4, 13), (2, 31), (24, 0), (10, 10), (7, 29), (15, 15), (23, 6), (25, 17), (1, 15), (19, 14), (8, 17), (20, 29), (28, 25), (29, 25), (16, 30), (21, 11), (13, 3), (20, 25), (2, 15), (15, 21), (10, 24), (16, 17), (7, 1), (11, 10), (7, 4), (3, 24), (10, 21), (18, 15), (6, 13), (28, 2), (2, 21), (9, 2), (27, 11), (14, 17), (30, 17), (20, 11), (30, 1), (3, 14), (27, 9), (3, 1), (4, 22), (1, 7), (13, 17), (19, 1), (20, 10), (2, 28), (7, 7), (17, 10), (29, 14), (27, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 19), (24, 31), (30, 8), (29, 30), (10, 22), (11, 5), (12, 27), (12, 24), (32, 17), (8, 14), (24, 8), (15, 13), (17, 15), (14, 27), (33, 25), (11, 0), (18, 12), (15, 23), (22, 2), (16, 22), (22, 21), (24, 9), (34, 14), (33, 24), (0, 26), (4, 26), (33, 21), (25, 24), (0, 2), (25, 22), (25, 16), (28, 3), (17, 2), (5, 4), (15, 19), (24, 2), (12, 28), (20, 12), (14, 12), (30, 18), (30, 21), (23, 17), (36, 23), (35, 29), (34, 17), (23, 9), (1, 16), (25, 12), (25, 31), (7, 11), (13, 14), (23, 31), (14, 11), (5, 22), (17, 21), (28, 17), (10, 10), (27, 27), (20, 20), (17, 20), (6, 3), (22, 17), (31, 3), (30, 31), (17, 22), (1, 17), (21, 17), (9, 2), (9, 0), (10, 0), (12, 23), (9, 11), (31, 13), (34, 30), (29, 31), (10, 19), (36, 19), (24, 19), (29, 11), (10, 6), (21, 26), (27, 1), (36, 3), (33, 15), (7, 7), (10, 24), (23, 16), (27, 29), (26, 13), (20, 27), (13, 26), (11, 3), (22, 8), (8, 5), (2, 21), (28, 18), (15, 16), (5, 10), (36, 7), (21, 8), (18, 9), (7, 21), (18, 5), (29, 12), (31, 9), (6, 15), (30, 19), (34, 11), (21, 9), (36, 0), (20, 9), (29, 27), (4, 11), (26, 1), (30, 6), (16, 12), (28, 30), (18, 27), (26, 3), (27, 24), (30, 29), (3, 6), (15, 24), (11, 8), (0, 5), (23, 0), (5, 23), (20, 28), (25, 17), (8, 3), (2, 4), (25, 30), (8, 6), (14, 32), (27, 32), (29, 22), (27, 18), (23, 11), (32, 26), (12, 7), (36, 16), (10, 7), (4, 15), (0, 22), (20, 5), (27, 8), (14, 6), (21, 11), (1, 6), (14, 24), (27, 4), (24, 10), (13, 2), (26, 27), (31, 27), (1, 30), (20, 18), (2, 25), (29, 16), (2, 0), (12, 13), (1, 9), (7, 9), (3, 5), (36, 24), (36, 25), (29, 20), (24, 3), (0, 13), (22, 10), (35, 20), (19, 9), (28, 29), (25, 5), (22, 25), (24, 1), (18, 14), (13, 27), (32, 1), (33, 2), (29, 14), (3, 21), (7, 29), (16, 31), (26, 10), (28, 9), (20, 26), (16, 27), (2, 23), (13, 31), (34, 6), (10, 27), (8, 17), (20, 16), (23, 18), (32, 30), (31, 22), (35, 9), (20, 13), (2, 27), (33, 19), (25, 27), (26, 0), (14, 10), (19, 0), (24, 26), (25, 2), (14, 21), (4, 12), (7, 14), (21, 6), (8, 18), (7, 25), (17, 19), (5, 21), (16, 24), (3, 0), (20, 21), (18, 11), (35, 1), (14, 3), (23, 5), (0, 24), (0, 31), (36, 31), (18, 13), (25, 4), (4, 31), (25, 6), (9, 15), (1, 26), (32, 19), (30, 26), (17, 5), (9, 17), (4, 3), (25, 18), (13, 12), (35, 10), (31, 30), (3, 15), (14, 30), (19, 14), (26, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 14), (24, 24), (29, 23), (27, 12), (21, 23), (10, 18), (10, 5), (26, 5), (29, 11), (31, 19), (5, 17), (20, 9), (34, 2), (25, 24), (20, 15), (6, 11), (14, 3), (8, 28), (20, 0), (1, 7), (25, 27), (15, 12), (35, 11), (28, 20), (25, 10), (37, 3), (0, 25), (37, 25), (24, 21), (30, 23), (9, 29), (2, 30), (28, 23), (35, 12), (32, 7), (28, 1), (18, 26), (20, 21), (2, 12), (12, 4), (17, 14), (4, 30), (24, 20), (19, 7), (12, 29), (4, 26), (35, 19), (17, 20), (2, 5), (9, 17), (9, 13), (18, 28), (5, 4), (28, 28), (10, 9), (5, 5), (5, 18), (18, 13), (18, 16), (30, 4), (21, 4), (20, 11), (12, 17), (6, 7), (12, 25), (21, 15), (26, 2), (9, 5), (27, 8), (29, 1), (24, 28), (35, 18), (17, 4), (10, 14), (0, 22), (28, 4), (33, 24), (24, 6), (21, 7), (14, 21), (33, 22), (11, 14), (14, 14), (30, 3), (26, 24), (32, 23), (14, 13), (15, 30), (3, 20), (28, 26), (29, 19), (29, 5), (33, 9), (20, 6), (36, 25), (19, 14), (22, 18), (25, 30), (12, 10), (6, 22), (28, 29), (15, 4), (5, 15), (28, 25), (8, 5), (11, 1), (19, 2), (30, 25), (19, 26), (29, 22), (30, 28), (3, 24), (13, 18), (21, 18), (9, 10), (7, 25), (36, 30), (15, 25), (25, 4), (33, 5), (8, 30), (25, 6), (33, 27), (19, 17), (32, 22), (18, 12), (28, 14), (16, 2), (31, 22), (13, 14), (8, 15), (23, 4), (25, 20), (22, 23), (36, 15), (2, 18), (21, 17), (36, 7), (35, 13), (33, 16), (15, 26), (35, 25), (29, 9), (30, 5), (34, 23), (5, 9), (34, 15), (11, 21), (8, 24), (25, 25), (7, 18), (22, 9), (22, 30), (13, 29), (26, 10), (8, 27), (34, 8), (12, 12), (33, 19), (34, 29), (5, 3), (19, 24), (0, 29), (9, 24), (1, 20), (4, 5), (8, 3), (12, 27), (12, 2), (0, 17), (34, 12), (20, 3), (6, 20), (0, 3), (6, 16), (3, 3), (2, 20), (15, 1), (32, 1), (9, 19), (31, 12), (4, 18), (35, 3), (20, 14), (37, 11), (33, 18), (33, 2), (1, 1), (31, 29), (26, 19), (20, 30), (10, 17), (30, 21), (35, 20), (34, 5), (13, 27), (2, 11), (19, 9), (23, 8), (20, 12), (21, 8), (12, 28), (22, 8), (10, 3), (36, 10), (6, 1), (24, 17), (31, 26), (32, 25), (22, 7), (5, 6), (20, 18), (14, 26), (13, 5), (18, 3), (18, 7), (18, 18), (9, 22), (35, 16), (27, 21), (24, 19), (11, 2), (7, 28), (5, 29), (8, 11), (11, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 32x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 31), (8, 9), (7, 12), (28, 31), (7, 26), (23, 3), (21, 17), (18, 14), (0, 5), (31, 13), (5, 7), (8, 17), (7, 5), (10, 7), (0, 11), (31, 33), (28, 12), (27, 34), (26, 16), (28, 32), (30, 21), (0, 25), (5, 3), (1, 24), (11, 28), (25, 31), (30, 14), (26, 26), (26, 33), (17, 15), (3, 7), (27, 6), (10, 31), (28, 11), (14, 22), (7, 20), (5, 33), (14, 17), (28, 13), (23, 22), (6, 6), (28, 16), (13, 22), (8, 24), (18, 4), (5, 14), (6, 27), (29, 11), (11, 15), (24, 16), (12, 28), (22, 21), (29, 3), (5, 17), (19, 11), (9, 11), (14, 28), (30, 23), (27, 31), (7, 7), (4, 16), (31, 0), (17, 0), (13, 10), (0, 27), (30, 17), (30, 6), (11, 22), (28, 17), (13, 3), (3, 5), (11, 30), (14, 18), (2, 34), (19, 4), (12, 1), (12, 13), (1, 10), (10, 34), (27, 0), (16, 1), (21, 24), (21, 1), (25, 2), (6, 28), (22, 25), (6, 7), (14, 5), (27, 29), (30, 5), (1, 31), (15, 31), (20, 1), (17, 32), (16, 0), (23, 30), (6, 33), (28, 30), (9, 33), (15, 32), (25, 21), (23, 1), (9, 15), (20, 29), (1, 15), (12, 9), (27, 25), (22, 14), (7, 16), (6, 32), (19, 14), (22, 1), (4, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 32), (11, 1), (13, 19), (16, 27), (0, 20), (7, 34), (27, 23), (12, 3), (18, 1), (11, 19), (8, 1), (15, 26), (25, 10), (29, 11), (16, 17), (28, 35), (12, 10), (32, 4), (14, 24), (31, 32), (31, 29), (26, 6), (20, 18), (7, 33), (21, 23), (30, 31), (30, 26), (2, 28), (24, 30), (27, 34), (31, 31), (1, 35), (14, 19), (18, 6), (11, 4), (1, 1), (16, 28), (16, 31), (25, 5), (8, 36), (4, 32), (26, 17), (12, 32), (5, 7), (10, 24), (8, 25), (3, 35), (5, 3), (27, 6), (5, 36), (1, 31), (25, 14), (1, 28), (13, 27), (28, 38), (19, 2), (31, 37), (19, 6), (22, 10), (17, 29), (17, 9), (17, 10), (0, 23), (32, 5), (28, 23), (22, 28), (12, 33), (6, 19), (11, 8), (32, 8), (29, 10), (16, 25), (3, 0), (14, 38), (13, 23), (22, 23), (17, 33), (21, 12), (25, 34), (11, 32), (0, 12), (19, 1), (10, 12), (30, 28), (1, 27), (26, 35), (29, 38), (3, 19), (26, 29), (27, 37), (4, 19), (12, 13), (24, 23), (1, 18), (21, 35), (25, 7), (16, 5), (8, 37), (7, 15), (7, 16), (26, 8), (28, 32), (23, 22), (28, 11), (13, 35), (15, 28), (28, 27), (17, 11), (32, 3), (6, 34), (0, 8), (30, 23), (5, 17), (5, 6), (15, 36), (22, 29), (32, 24), (5, 30), (28, 25), (16, 9), (12, 2), (25, 24), (7, 26), (4, 30), (26, 2), (9, 18), (32, 20), (32, 11), (20, 1), (22, 15), (32, 19), (17, 16), (6, 31), (25, 35), (24, 5), (11, 33), (30, 17), (1, 30), (21, 14), (18, 26), (12, 14), (7, 37), (4, 29), (28, 21), (16, 19), (9, 23), (19, 21), (21, 9), (25, 32), (8, 29), (13, 0), (25, 9), (27, 5), (1, 9), (14, 7), (25, 0), (22, 26), (4, 11), (22, 19), (24, 25), (25, 30), (0, 10), (32, 12), (26, 37), (11, 26), (9, 32), (0, 5), (13, 34), (1, 32), (12, 7), (8, 2), (16, 2), (14, 6), (10, 31), (25, 20), (12, 38), (28, 13), (1, 37), (23, 36), (18, 12), (10, 33), (21, 6), (28, 2), (0, 24), (13, 1), (7, 4), (22, 5), (30, 9), (3, 1), (24, 38), (1, 26), (25, 26), (0, 36), (27, 16), (12, 36), (14, 37), (4, 12), (12, 5), (22, 7), (2, 12), (19, 28), (6, 12), (29, 33), (6, 35), (3, 23), (20, 22), (23, 30), (29, 35), (10, 27), (6, 30), (31, 6), (19, 12), (13, 6), (10, 29), (18, 0), (3, 27), (9, 20), (15, 29), (26, 22), (29, 30), (31, 16), (6, 33), (17, 22), (11, 31), (17, 4), (11, 6), (19, 13), (1, 11), (31, 11), (14, 2), (13, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 38x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 27), (24, 25), (23, 15), (36, 11), (29, 5), (0, 3), (21, 24), (4, 9), (19, 12), (14, 8), (18, 20), (20, 14), (5, 10), (35, 23), (31, 27), (3, 13), (21, 6), (33, 18), (8, 22), (32, 22), (6, 9), (25, 13), (10, 26), (25, 18), (32, 29), (2, 20), (36, 17), (33, 11), (14, 12), (27, 28), (5, 1), (8, 10), (19, 1), (19, 15), (1, 27), (4, 17), (2, 25), (11, 26), (6, 28), (5, 11), (8, 23), (27, 19), (12, 6), (11, 18), (4, 8), (4, 20), (2, 13), (13, 21), (21, 15), (13, 10), (23, 22), (24, 24), (18, 13), (23, 2), (31, 13), (4, 6), (24, 18), (0, 25), (13, 12), (11, 20), (15, 24), (37, 21), (1, 26), (20, 6), (35, 6), (33, 22), (5, 14), (10, 21), (7, 7), (12, 28), (0, 9), (16, 2), (3, 2), (33, 29), (37, 22), (28, 2), (23, 24), (28, 15), (3, 3), (35, 10), (9, 10), (34, 0), (26, 27), (11, 15), (21, 26), (8, 13), (8, 3), (11, 3), (36, 4), (4, 24), (33, 20), (34, 9), (22, 15), (15, 3), (9, 6), (25, 1), (18, 8), (8, 24), (22, 23), (7, 15), (7, 4), (19, 6), (7, 24), (3, 19), (2, 23), (19, 23), (31, 17), (20, 19), (16, 28), (27, 26), (29, 22), (24, 22), (18, 11), (15, 1), (23, 6), (9, 8), (30, 18), (26, 10), (17, 23), (10, 29), (0, 16), (32, 24), (28, 9), (20, 1), (11, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 4), (8, 25), (24, 24), (7, 26), (18, 19), (2, 17), (10, 22), (17, 3), (3, 12), (17, 12), (30, 26), (2, 30), (18, 2), (20, 19), (17, 5), (5, 15), (24, 19), (21, 17), (20, 20), (1, 22), (23, 28), (14, 6), (16, 20), (7, 23), (28, 9), (3, 27), (12, 3), (26, 0), (29, 29), (7, 3), (28, 30), (14, 29), (3, 14), (17, 2), (30, 1), (9, 2), (14, 30), (4, 27), (9, 29), (7, 18), (20, 21), (1, 16), (19, 15), (0, 16), (24, 20), (19, 17), (20, 1), (18, 8), (23, 16), (7, 1), (21, 20), (22, 23), (21, 28), (15, 18), (14, 0), (15, 6), (13, 0), (18, 5), (11, 10), (9, 15), (13, 15), (0, 24), (23, 27), (27, 14), (5, 26), (20, 28), (24, 11), (19, 3), (26, 19), (20, 12), (5, 2), (0, 13), (12, 19), (26, 20), (17, 28), (11, 26), (3, 7), (16, 9), (26, 16), (3, 5), (14, 26), (0, 1), (22, 18), (3, 21), (27, 5), (27, 11), (26, 31), (22, 2), (1, 27), (24, 15), (9, 20), (5, 31), (7, 16), (27, 26), (1, 4), (20, 2), (12, 23), (5, 5), (3, 3), (14, 18), (22, 6), (16, 22), (15, 11), (26, 14), (3, 32), (28, 21), (15, 3), (26, 22), (11, 25), (3, 1), (2, 26), (12, 9), (24, 7), (29, 7), (0, 20), (7, 8), (29, 12), (14, 14), (0, 15), (29, 17), (23, 29), (18, 1), (12, 7), (16, 2), (6, 28), (9, 17), (19, 0), (2, 28), (9, 28), (4, 11), (10, 25), (2, 3), (13, 7), (9, 18), (12, 28), (21, 30), (6, 21), (25, 30), (12, 6), (30, 16), (11, 7), (20, 31), (28, 8), (23, 7), (6, 12), (7, 9), (19, 12), (3, 11), (16, 12), (9, 23), (5, 7), (26, 7), (25, 21), (22, 19), (24, 29), (2, 6), (28, 13), (8, 22), (11, 1), (23, 20), (26, 25), (13, 10), (30, 31), (29, 10), (18, 15), (23, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 37x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 4), (25, 23), (22, 8), (2, 3), (13, 28), (36, 3), (14, 26), (24, 19), (36, 19), (32, 30), (7, 7), (16, 14), (27, 31), (22, 13), (18, 10), (33, 3), (24, 8), (27, 30), (31, 5), (8, 25), (3, 23), (20, 3), (21, 4), (5, 4), (35, 15), (18, 26), (15, 11), (13, 31), (12, 15), (10, 33), (29, 31), (4, 17), (33, 25), (28, 0), (17, 0), (9, 32), (31, 4), (24, 3), (13, 1), (31, 17), (20, 21), (18, 13), (34, 8), (25, 21), (17, 28), (27, 15), (28, 4), (16, 8), (29, 28), (0, 5), (36, 6), (36, 29), (22, 1), (5, 16), (29, 23), (30, 21), (10, 11), (18, 27), (35, 21), (19, 25), (6, 24), (31, 22), (17, 17), (3, 18), (10, 25), (21, 9), (6, 6), (26, 1), (35, 25), (2, 24), (12, 23), (26, 26), (3, 0), (24, 26), (28, 15), (3, 17), (7, 21), (5, 19), (28, 5), (27, 22), (22, 12), (8, 27), (1, 30), (0, 33), (10, 31), (33, 8), (11, 31), (4, 13), (3, 3), (11, 8), (8, 13), (5, 10), (3, 30), (15, 8), (32, 4), (22, 22), (14, 5), (36, 18), (24, 25), (22, 33), (19, 6), (18, 12), (36, 4), (28, 28), (3, 15), (13, 32), (36, 28), (1, 24), (25, 25), (32, 14), (16, 18), (17, 27), (14, 15), (17, 23), (3, 29), (5, 33), (8, 22), (15, 20), (10, 2), (2, 17), (19, 27), (5, 31), (29, 17), (33, 19), (17, 32), (29, 3), (12, 7), (17, 22), (5, 8), (33, 10), (17, 9), (19, 8), (30, 25), (9, 2), (11, 12), (21, 13), (6, 13), (8, 0), (34, 29), (30, 16), (16, 11), (24, 11), (1, 3), (26, 31), (11, 1), (11, 23), (23, 15), (25, 13), (36, 14), (26, 16), (12, 30), (35, 31), (1, 16), (14, 11), (36, 32), (11, 30), (28, 1), (27, 11), (23, 1), (3, 24), (14, 6), (8, 8), (7, 1), (5, 23), (13, 19), (11, 24), (3, 16), (35, 1), (22, 15), (27, 5), (9, 7), (12, 24), (7, 30), (29, 11), (36, 7), (6, 11), (21, 29), (3, 31), (19, 3), (14, 21), (1, 5), (15, 28), (4, 31), (30, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 38x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 24), (35, 35), (30, 23), (1, 30), (18, 34), (25, 17), (1, 29), (13, 13), (24, 8), (32, 3), (37, 28), (10, 23), (8, 31), (7, 15), (20, 16), (12, 12), (1, 32), (18, 22), (34, 9), (7, 0), (0, 31), (3, 1), (29, 24), (10, 9), (32, 32), (1, 15), (4, 1), (8, 35), (10, 35), (23, 34), (34, 8), (3, 26), (20, 2), (36, 5), (29, 14), (30, 29), (8, 10), (7, 34), (20, 9), (4, 13), (7, 13), (34, 22), (22, 9), (30, 5), (28, 20), (27, 8), (9, 12), (16, 27), (7, 18), (19, 15), (23, 9), (5, 23), (2, 6), (30, 6), (8, 33), (35, 25), (37, 30), (2, 12), (16, 19), (3, 12), (35, 2), (8, 23), (11, 2), (27, 17), (22, 7), (23, 32), (28, 5), (19, 27), (30, 9), (13, 27), (20, 32), (31, 17), (4, 23), (10, 12), (7, 29), (13, 8), (26, 11), (1, 16), (21, 27), (23, 1), (28, 11), (20, 31), (14, 0), (6, 26), (17, 0), (6, 34), (12, 7), (1, 18), (8, 22), (36, 24), (16, 22), (37, 8), (7, 9), (5, 14), (33, 29), (2, 20), (8, 28), (22, 4), (1, 13), (6, 15), (33, 24), (28, 32), (25, 2), (28, 16), (20, 18), (26, 17), (9, 22), (16, 30), (23, 4), (4, 4), (2, 11), (12, 11), (32, 17), (28, 4), (23, 17), (7, 32), (20, 28), (7, 23), (30, 27), (34, 25), (2, 21), (17, 4), (35, 29), (36, 2), (1, 0), (26, 5), (23, 6), (19, 28), (21, 35), (6, 5), (16, 17), (30, 18), (20, 3), (3, 11), (13, 32), (37, 12), (27, 0), (7, 26), (9, 21), (6, 9), (10, 19), (6, 10), (22, 34), (21, 10), (5, 13), (18, 10), (21, 18), (25, 27), (35, 28), (35, 13), (19, 10), (27, 31), (7, 25), (17, 15), (26, 14), (8, 26), (5, 35), (31, 9), (14, 22), (19, 35), (22, 19), (34, 34), (34, 27), (35, 30), (16, 35), (36, 28), (1, 5), (28, 24), (23, 24), (18, 0), (29, 25), (7, 33), (10, 29), (6, 27), (8, 13), (9, 27), (16, 25), (11, 28), (8, 32), (8, 11), (37, 5), (27, 33), (5, 29), (18, 8), (4, 26), (1, 28), (30, 35), (37, 7), (28, 19), (10, 27), (36, 32), (21, 13), (4, 27), (2, 27), (4, 35), (1, 11), (27, 6), (29, 13), (24, 10), (13, 22), (25, 31), (36, 14), (29, 3), (11, 13), (32, 30), (22, 12), (12, 15), (21, 3), (27, 4), (13, 2), (18, 16), (17, 10), (16, 21), (31, 32), (17, 27), (26, 9), (21, 14), (27, 9), (19, 16), (20, 30), (29, 19), (11, 1), (17, 31), (16, 14), (2, 18), (25, 6), (17, 29), (4, 5), (34, 4), (27, 35)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 25), (3, 12), (4, 37), (1, 33), (10, 1), (22, 1), (16, 17), (19, 19), (4, 3), (15, 24), (26, 28), (27, 24), (28, 20), (24, 2), (22, 32), (24, 30), (6, 9), (16, 2), (9, 20), (11, 24), (22, 36), (23, 37), (29, 9), (2, 2), (15, 22), (24, 16), (24, 13), (5, 1), (5, 29), (6, 8), (14, 10), (12, 3), (12, 37), (3, 22), (8, 8), (17, 18), (25, 6), (27, 21), (4, 32), (27, 13), (14, 13), (27, 16), (18, 33), (23, 32), (1, 7), (15, 27), (28, 16), (0, 25), (12, 0), (9, 25), (26, 27), (15, 8), (16, 24), (30, 27), (15, 19), (16, 26), (2, 33), (11, 5), (2, 19), (11, 34), (26, 20), (7, 35), (21, 4), (23, 29), (6, 37), (2, 23), (27, 5), (24, 4), (7, 36), (22, 19), (30, 6), (29, 13), (18, 15), (27, 28), (26, 14), (12, 8), (17, 26), (29, 37), (1, 5), (9, 14), (30, 17), (9, 28), (7, 2), (0, 31), (10, 5), (21, 11), (3, 11), (8, 2), (0, 2), (28, 35), (0, 5), (21, 34), (4, 34), (8, 13), (5, 34), (2, 28), (7, 6), (8, 19), (8, 34), (12, 15), (2, 25), (17, 13), (16, 10), (4, 10), (6, 34), (13, 35), (3, 0), (23, 23), (0, 3), (16, 23), (24, 25), (13, 0), (4, 0), (18, 16), (5, 17), (24, 33), (7, 15), (17, 8), (20, 24), (22, 5), (8, 9), (17, 30), (10, 6), (5, 10), (15, 23), (20, 19), (15, 2), (6, 12), (4, 4), (20, 30), (3, 30), (20, 7), (9, 3), (22, 34), (25, 13), (16, 20), (17, 19), (1, 1), (10, 24), (5, 7), (14, 33), (27, 19), (21, 24), (4, 26), (7, 5), (26, 10), (0, 11), (1, 30), (10, 21), (0, 4), (14, 31), (7, 18), (25, 35), (25, 33), (29, 32), (17, 17), (8, 20), (4, 14), (3, 20), (1, 21), (19, 2), (6, 10), (9, 22), (20, 37), (28, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 7), (21, 5), (17, 15), (7, 2), (1, 17), (19, 16), (29, 28), (8, 10), (22, 25), (11, 8), (0, 9), (23, 10), (28, 28), (9, 6), (30, 20), (17, 1), (0, 6), (15, 27), (3, 2), (30, 16), (8, 24), (22, 24), (8, 22), (6, 24), (4, 10), (23, 23), (1, 27), (21, 3), (20, 17), (23, 5), (2, 18), (6, 5), (2, 13), (24, 0), (18, 6), (16, 9), (15, 10), (22, 18), (19, 21), (9, 18), (8, 25), (21, 9), (24, 27), (4, 21), (21, 12), (22, 29), (18, 15), (16, 1), (16, 4), (14, 15), (17, 31), (13, 24), (15, 18), (3, 6), (5, 19), (9, 20), (13, 18), (23, 9), (9, 12), (4, 22), (2, 27), (15, 16), (5, 2), (4, 6), (3, 29), (1, 7), (6, 19), (16, 12), (7, 4), (26, 21), (27, 5), (13, 3), (16, 0), (27, 26), (12, 4), (2, 15), (12, 16), (27, 28), (27, 6), (16, 5), (14, 10), (26, 20), (19, 12), (15, 6), (22, 0), (22, 14), (29, 23), (4, 27), (30, 27), (26, 2), (20, 24), (6, 6), (17, 3), (14, 20), (25, 14), (1, 22), (18, 27), (3, 18), (21, 14), (25, 28), (7, 12), (14, 28), (5, 0), (18, 3), (30, 7), (30, 15), (15, 9), (7, 24), (12, 8), (14, 11), (9, 19), (6, 11), (5, 16), (25, 23), (30, 12), (22, 3), (1, 16), (4, 31), (1, 20), (25, 5), (16, 16), (28, 25), (2, 23), (13, 25), (12, 21), (22, 5), (6, 22), (0, 1), (4, 25), (24, 28), (16, 15), (10, 7), (18, 20), (7, 30), (13, 28), (19, 15), (18, 30), (1, 23), (29, 7), (24, 15), (3, 12), (28, 15), (1, 31), (25, 9), (6, 0), (20, 29), (0, 20), (22, 31), (15, 24), (28, 7), (19, 26), (9, 22), (9, 25), (17, 28), (22, 7), (28, 23), (16, 20), (11, 26), (29, 15), (18, 28), (10, 22), (7, 31), (0, 2), (2, 3), (15, 2), (2, 29), (2, 17), (12, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 37x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 28), (33, 23), (4, 17), (36, 29), (36, 17), (27, 17), (29, 16), (0, 11), (35, 13), (8, 13), (4, 4), (2, 7), (19, 12), (7, 5), (26, 26), (15, 8), (35, 5), (5, 13), (32, 2), (12, 27), (16, 34), (22, 12), (26, 5), (31, 8), (11, 0), (19, 15), (35, 2), (36, 25), (25, 19), (20, 17), (7, 18), (14, 4), (30, 1), (32, 29), (7, 20), (12, 18), (25, 7), (28, 33), (1, 10), (17, 25), (25, 27), (10, 14), (35, 30), (3, 34), (21, 15), (2, 11), (1, 9), (18, 8), (6, 3), (32, 6), (0, 34), (21, 0), (21, 23), (10, 2), (24, 5), (9, 23), (17, 7), (4, 6), (31, 0), (16, 24), (34, 34), (13, 3), (12, 11), (3, 33), (14, 28), (33, 18), (21, 21), (10, 19), (1, 8), (28, 3), (31, 24), (19, 17), (11, 25), (36, 27), (17, 4), (2, 19), (13, 24), (24, 35), (18, 16), (1, 12), (14, 21), (7, 29), (4, 33), (27, 33), (3, 19), (6, 33), (7, 6), (11, 22), (5, 20), (23, 2), (18, 20), (13, 5), (28, 1), (22, 32), (28, 10), (9, 27), (7, 34), (8, 0), (11, 29), (21, 24), (26, 22), (26, 4), (12, 7), (21, 18), (21, 6), (33, 13), (20, 5), (16, 12), (34, 23), (21, 19), (24, 21), (15, 26), (13, 4), (5, 29), (6, 30), (21, 4), (20, 1), (15, 16), (17, 24), (29, 4), (19, 5), (23, 30), (5, 12), (16, 32), (12, 35), (27, 14), (18, 28), (30, 11), (20, 14), (15, 22), (9, 8), (28, 11), (35, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 31), (23, 12), (32, 11), (23, 2), (15, 28), (15, 31), (1, 8), (26, 34), (9, 23), (15, 32), (32, 23), (17, 1), (29, 26), (36, 15), (34, 32), (10, 17), (4, 23), (36, 28), (33, 31), (25, 8), (9, 22), (10, 21), (26, 18), (31, 22), (17, 33), (1, 30), (31, 36), (30, 5), (23, 10), (35, 8), (28, 18), (35, 5), (17, 11), (3, 34), (5, 35), (6, 22), (32, 14), (35, 24), (27, 27), (20, 5), (11, 35), (28, 23), (6, 17), (11, 4), (20, 11), (33, 19), (36, 18), (29, 17), (29, 10), (8, 29), (10, 9), (21, 28), (31, 11), (34, 5), (27, 12), (7, 0), (26, 11), (19, 31), (25, 30), (26, 26), (14, 11), (8, 18), (3, 36), (30, 19), (33, 24), (24, 7), (34, 18), (5, 32), (11, 21), (33, 33), (19, 7), (19, 26), (23, 5), (26, 20), (18, 7), (0, 34), (25, 1), (36, 31), (34, 14), (3, 17), (14, 9), (32, 18), (13, 19), (31, 1), (2, 1), (4, 15), (27, 16), (18, 16), (18, 30), (10, 3), (4, 5), (23, 4), (8, 14), (31, 32), (21, 33), (25, 15), (21, 11), (27, 17), (24, 28), (17, 5), (34, 2), (11, 29), (3, 32), (23, 32), (7, 13), (12, 6), (22, 33), (29, 1), (1, 10), (16, 6), (32, 9), (13, 5), (33, 17), (27, 30), (23, 28), (15, 34), (35, 35), (13, 22), (31, 33), (7, 22), (24, 10), (3, 11), (23, 31), (10, 36), (14, 22), (12, 9), (21, 3), (7, 17), (18, 35), (4, 34), (5, 5), (4, 35), (15, 30), (21, 36), (8, 15), (34, 26), (18, 15), (27, 22), (22, 27), (16, 5), (29, 6), (11, 0), (14, 32), (10, 1), (18, 11), (28, 6), (30, 30), (7, 1), (11, 20), (24, 11), (35, 21), (15, 33), (21, 4), (35, 20), (9, 5), (12, 15), (25, 29), (9, 36), (2, 11), (21, 25), (1, 11), (10, 31), (27, 25), (25, 20), (14, 29), (10, 5), (20, 18), (21, 35), (35, 30), (19, 5), (3, 2), (30, 7), (6, 33), (20, 33), (22, 28), (35, 11), (6, 36), (0, 4), (2, 31), (3, 28), (34, 7), (10, 23), (20, 25), (4, 29), (31, 14), (36, 1), (6, 24), (14, 25), (16, 26), (36, 13), (5, 36), (21, 29), (13, 6), (28, 14), (4, 19), (10, 24), (0, 30), (25, 33), (25, 36), (20, 15), (13, 12), (9, 33), (26, 8), (12, 11), (26, 30), (22, 36), (25, 13), (6, 26), (19, 16), (25, 10), (25, 3), (26, 21), (2, 32), (27, 21), (12, 18), (7, 35), (34, 9), (26, 31), (30, 32), (12, 26), (35, 7), (7, 26), (22, 18), (35, 16), (17, 0), (8, 12), (11, 31), (20, 0), (11, 25), (28, 32), (23, 3), (22, 35), (31, 7), (29, 7), (9, 4), (28, 19), (17, 24), (20, 21), (9, 8), (28, 4), (35, 6), (26, 16), (7, 16), (29, 33), (9, 24), (9, 7), (11, 1), (14, 1), (33, 2), (14, 18), (5, 9), (24, 26), (4, 4), (8, 9), (28, 34), (5, 4), (0, 11), (3, 33), (18, 1), (31, 13), (17, 35), (7, 36), (15, 22), (1, 17), (2, 9), (2, 27), (3, 0), (23, 26), (1, 7), (21, 16), (12, 20), (3, 20), (0, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 30x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 26), (27, 19), (24, 5), (1, 35), (19, 27), (4, 28), (7, 13), (8, 2), (24, 13), (24, 14), (26, 27), (16, 15), (15, 9), (4, 4), (27, 0), (16, 1), (20, 8), (29, 14), (5, 5), (9, 6), (19, 16), (19, 10), (0, 23), (29, 12), (6, 1), (4, 12), (5, 27), (29, 30), (4, 3), (26, 19), (9, 17), (24, 19), (11, 21), (19, 19), (12, 6), (11, 20), (16, 17), (21, 21), (13, 8), (20, 25), (4, 10), (6, 6), (21, 4), (7, 9), (0, 14), (19, 2), (21, 33), (8, 7), (24, 25), (25, 11), (26, 5), (25, 29), (10, 13), (10, 29), (6, 33), (10, 31), (27, 4), (27, 34), (21, 28), (8, 32), (8, 10), (11, 14), (23, 6), (27, 32), (4, 11), (24, 20), (28, 12), (6, 28), (21, 8), (21, 32), (3, 12), (2, 22), (16, 26), (26, 17), (5, 4), (15, 5), (18, 34), (12, 11), (11, 11), (17, 1), (12, 7), (15, 26), (14, 25), (8, 16), (5, 32), (14, 4), (19, 17), (10, 14), (0, 16), (23, 32), (15, 0), (19, 22), (2, 29), (16, 5), (0, 10), (12, 9), (25, 5), (28, 27), (1, 1), (23, 7), (16, 22), (18, 0), (25, 19), (8, 9), (2, 35), (12, 22), (10, 22), (3, 31), (3, 11), (13, 7), (8, 27), (17, 20), (5, 35), (26, 8), (12, 30), (14, 29), (26, 26), (9, 14), (0, 18), (15, 17), (3, 8), (28, 32), (1, 18), (29, 17), (4, 2), (26, 14), (22, 30), (12, 14), (17, 33), (6, 2), (28, 21), (28, 29), (2, 18), (27, 2), (26, 24), (29, 15), (2, 11), (16, 16), (0, 19), (5, 11), (28, 16), (6, 15), (8, 28), (8, 24), (20, 22), (6, 20), (12, 19), (24, 9), (0, 28), (23, 13), (8, 13), (1, 11), (8, 11), (28, 2), (10, 21), (17, 2), (21, 34), (29, 25), (15, 8), (17, 6), (4, 16), (4, 9), (11, 4), (24, 31), (1, 24), (29, 1), (23, 3), (8, 23), (23, 34), (14, 20), (27, 14), (20, 28), (21, 20), (17, 22), (8, 5), (2, 8), (23, 20), (9, 2), (0, 15), (23, 19), (17, 17), (27, 28), (20, 1), (16, 34), (3, 25), (13, 19), (25, 10), (3, 9), (20, 20), (18, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 28), (29, 26), (30, 22), (27, 7), (26, 12), (27, 16), (15, 10), (22, 13), (37, 27), (6, 28), (26, 18), (29, 29), (29, 1), (9, 9), (10, 11), (30, 5), (2, 24), (10, 14), (22, 14), (20, 16), (5, 24), (17, 16), (32, 26), (28, 22), (23, 2), (7, 13), (14, 20), (3, 16), (30, 9), (25, 2), (22, 20), (33, 1), (9, 19), (3, 22), (8, 11), (8, 7), (35, 16), (4, 9), (8, 5), (3, 27), (6, 11), (17, 2), (33, 27), (27, 14), (18, 3), (2, 17), (3, 0), (24, 2), (6, 24), (1, 29), (3, 10), (29, 19), (25, 21), (12, 29), (17, 21), (15, 2), (5, 25), (10, 9), (5, 30), (27, 11), (14, 14), (27, 13), (12, 14), (31, 19), (20, 19), (15, 18), (34, 8), (36, 4), (25, 1), (30, 3), (0, 2), (20, 23), (32, 8), (29, 5), (25, 6), (13, 5), (28, 18), (19, 20), (24, 0), (25, 11), (33, 8), (2, 30), (23, 18), (11, 5), (19, 11), (20, 6), (25, 23), (10, 12), (21, 16), (22, 7), (0, 27), (4, 13), (15, 3), (24, 24), (24, 13), (12, 22), (29, 3), (34, 28), (36, 2), (1, 10), (16, 4), (8, 28), (10, 24), (6, 19), (15, 12), (16, 26), (7, 22), (34, 23), (27, 23), (20, 2), (15, 21), (21, 12), (6, 17), (36, 18), (3, 6), (6, 5), (19, 28), (5, 20), (23, 22), (0, 18), (22, 19), (34, 24), (13, 24), (32, 28), (34, 26), (19, 13), (30, 19), (13, 19), (29, 9), (9, 10), (27, 4), (23, 15), (15, 8), (3, 23), (5, 29), (18, 25), (8, 26), (13, 3), (7, 24), (11, 3), (1, 13), (33, 0), (21, 20), (25, 24), (25, 9), (27, 0), (18, 26), (29, 12), (31, 24), (18, 2), (23, 11), (34, 11), (33, 23), (25, 26), (20, 14), (20, 27), (31, 29), (29, 24), (4, 18), (14, 9), (5, 1), (7, 1), (9, 3), (11, 28), (23, 23), (22, 6), (0, 9), (27, 20), (19, 1), (33, 22), (11, 16), (6, 4), (27, 21), (13, 0), (2, 7), (12, 0), (11, 26), (30, 4), (18, 29), (2, 15), (36, 19), (30, 15), (37, 14), (34, 2), (19, 24), (21, 28), (13, 2), (3, 30), (22, 27), (28, 28), (32, 0), (33, 3), (15, 19), (20, 26), (18, 16), (24, 20), (20, 13), (26, 21), (2, 1), (16, 8), (37, 18), (35, 30), (5, 14), (6, 29), (32, 25), (24, 8), (10, 4), (5, 9), (15, 25), (19, 8), (20, 15), (4, 6), (19, 5), (18, 14), (23, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 33x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 28), (2, 4), (27, 23), (13, 7), (11, 21), (9, 7), (20, 28), (8, 10), (17, 27), (0, 13), (27, 24), (1, 0), (30, 22), (7, 7), (25, 26), (8, 5), (25, 0), (22, 11), (11, 26), (30, 31), (30, 26), (27, 21), (22, 15), (23, 25), (15, 6), (15, 24), (23, 3), (14, 28), (19, 7), (24, 29), (26, 4), (25, 13), (24, 0), (3, 28), (6, 10), (30, 18), (6, 18), (16, 5), (3, 30), (4, 13), (0, 15), (0, 3), (23, 23), (13, 13), (4, 14), (0, 28), (3, 0), (10, 7), (7, 31), (8, 22), (18, 21), (19, 23), (6, 8), (10, 13), (26, 2), (24, 6), (20, 13), (3, 22), (29, 10), (14, 26), (27, 13), (5, 25), (6, 30), (10, 11), (14, 30), (0, 5), (3, 18), (6, 14), (18, 31), (2, 5), (13, 24), (5, 5), (1, 19), (6, 15), (6, 16), (11, 6), (24, 4), (30, 16), (14, 17), (16, 24), (27, 27), (25, 20), (0, 21), (9, 22), (13, 5), (19, 19), (17, 17), (26, 33), (27, 11), (31, 13), (13, 21), (29, 28), (1, 26), (7, 9), (5, 13), (10, 32), (3, 3), (29, 18), (22, 31), (9, 11), (4, 16), (16, 7), (4, 26), (31, 7), (11, 7), (13, 11), (10, 28), (29, 7), (2, 20), (31, 30), (20, 31), (29, 27), (29, 3), (17, 2), (28, 32), (12, 23), (11, 5), (6, 7), (2, 25), (32, 16), (23, 26), (19, 15), (5, 1), (5, 30), (5, 9), (25, 6), (30, 8), (21, 29), (11, 27), (9, 13), (5, 6), (12, 27), (9, 10), (2, 24), (20, 26), (4, 5), (16, 8), (18, 33), (9, 31), (19, 2), (32, 8), (16, 0), (12, 6), (7, 26), (31, 21), (28, 17), (26, 25), (12, 10), (14, 31), (10, 19), (16, 30), (27, 5), (28, 6), (17, 22), (30, 21), (22, 8), (14, 11), (31, 10), (9, 3), (8, 25), (1, 2), (20, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 30), (3, 32), (33, 20), (31, 21), (26, 31), (4, 31), (7, 18), (28, 27), (1, 32), (21, 27), (6, 36), (9, 23), (27, 14), (0, 32), (27, 25), (26, 24), (8, 25), (4, 27), (17, 28), (33, 17), (17, 18), (16, 1), (22, 32), (4, 20), (7, 21), (13, 4), (25, 9), (33, 24), (1, 19), (10, 18), (0, 34), (1, 18), (10, 21), (12, 38), (26, 34), (28, 38), (32, 22), (2, 2), (23, 25), (22, 20), (7, 33), (30, 6), (30, 2), (7, 8), (26, 18), (19, 21), (4, 35), (21, 33), (3, 37), (20, 17), (10, 0), (29, 38), (30, 15), (22, 30), (15, 34), (1, 15), (12, 33), (24, 24), (12, 11), (34, 13), (19, 3), (19, 10), (26, 14), (15, 18), (3, 29), (3, 14), (5, 13), (24, 36), (11, 8), (28, 20), (32, 11), (18, 26), (8, 33), (19, 16), (5, 5), (5, 15), (3, 33), (17, 20), (24, 0), (19, 36), (17, 37), (12, 5), (26, 4), (29, 8), (16, 6), (14, 14), (6, 1), (27, 5), (27, 8), (7, 12), (26, 15), (21, 36), (19, 37), (18, 10), (33, 25), (21, 29), (16, 9), (20, 29), (15, 23), (28, 36), (11, 22), (23, 2), (7, 4), (23, 3), (28, 9), (19, 33), (29, 11), (10, 7), (17, 10), (21, 7), (31, 23), (33, 14), (13, 27), (16, 16), (29, 6), (30, 3), (17, 5), (32, 38), (32, 29), (17, 33), (1, 27), (0, 20), (16, 12), (2, 10), (23, 18), (12, 17), (27, 10), (29, 26), (4, 37), (17, 1), (18, 17), (33, 5), (19, 25), (8, 31), (1, 20), (16, 24), (10, 37), (32, 31), (4, 18), (17, 36), (19, 27), (27, 26), (25, 34), (17, 13), (15, 8), (10, 28), (25, 2), (13, 16), (33, 12), (15, 27), (24, 31), (33, 22), (28, 5), (0, 9), (17, 29), (21, 23), (22, 15), (12, 6), (32, 25), (4, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 39x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 15), (9, 32), (4, 6), (0, 26), (20, 9), (31, 21), (32, 5), (2, 26), (14, 19), (14, 25), (18, 12), (22, 20), (26, 11), (37, 32), (22, 3), (7, 30), (14, 7), (36, 3), (1, 21), (9, 1), (37, 19), (5, 2), (23, 29), (27, 25), (23, 15), (1, 29), (14, 14), (25, 1), (16, 11), (26, 2), (33, 32), (33, 17), (29, 11), (28, 33), (26, 0), (16, 26), (3, 8), (30, 28), (3, 33), (8, 0), (26, 23), (18, 32), (11, 2), (36, 29), (25, 35), (23, 21), (29, 25), (13, 24), (7, 5), (9, 26), (11, 24), (22, 32), (32, 2), (9, 6), (16, 7), (19, 0), (34, 17), (36, 12), (38, 25), (1, 14), (19, 26), (14, 31), (31, 20), (23, 10), (20, 0), (28, 6), (17, 4), (8, 10), (4, 31), (15, 8), (35, 6), (9, 34), (27, 0), (26, 29), (30, 24), (38, 7), (19, 1), (28, 3), (1, 2), (3, 5), (19, 4), (26, 6), (19, 22), (35, 21), (7, 3), (14, 20), (28, 28), (10, 24), (3, 24), (0, 20), (25, 4), (29, 29), (19, 30), (7, 28), (10, 32), (1, 1), (3, 13), (9, 10), (24, 6), (12, 11), (0, 9), (0, 14), (28, 30), (2, 33), (16, 19), (32, 8), (37, 30), (32, 7), (5, 3), (26, 14), (16, 5), (19, 6), (10, 4), (9, 15), (15, 10), (26, 8), (35, 2), (38, 10), (1, 24), (6, 25), (19, 20), (37, 16), (31, 17), (7, 12), (6, 24), (9, 23), (22, 2), (32, 12), (4, 1), (13, 18), (25, 25), (30, 8), (2, 18), (19, 31), (37, 12), (26, 19), (22, 26), (8, 27), (6, 5), (13, 2), (1, 23), (35, 19), (28, 18), (3, 22), (20, 4), (21, 28), (25, 19), (35, 5), (22, 18), (8, 7), (26, 20), (20, 13), (5, 31), (18, 27), (2, 4), (0, 25), (25, 34), (22, 35), (17, 18), (18, 0), (1, 17), (30, 11), (24, 31), (2, 9), (3, 10), (15, 6), (5, 4), (32, 9), (19, 19), (4, 22), (6, 34), (29, 33), (16, 27), (1, 16), (21, 26), (34, 33), (2, 17), (36, 11), (0, 35), (20, 29), (35, 32), (18, 9), (13, 31), (23, 30), (14, 6), (25, 23), (11, 16), (33, 14), (25, 7), (26, 1), (7, 27), (25, 24), (26, 7), (34, 29), (28, 4), (23, 18), (4, 5), (31, 14), (20, 10), (9, 16), (8, 35), (32, 29), (21, 32), (32, 21), (10, 10), (0, 5), (10, 33), (21, 24), (31, 3), (17, 25), (18, 22), (36, 18), (21, 20), (22, 29), (23, 0), (8, 19), (17, 20), (32, 33), (16, 14), (12, 13), (26, 10), (34, 27), (11, 21), (24, 8), (21, 3), (9, 22), (1, 15), (33, 34), (10, 19), (16, 12), (19, 10), (24, 18), (15, 17), (5, 32), (24, 23), (3, 6), (36, 19), (3, 2), (23, 28), (26, 25), (11, 4), (7, 13), (12, 26), (26, 16), (1, 9), (17, 13), (9, 9), (22, 25), (19, 11), (37, 1), (12, 18), (38, 30), (23, 24), (25, 15), (17, 3), (34, 30), (37, 35), (35, 14), (10, 31), (35, 31), (16, 8), (23, 27), (30, 16), (23, 33), (15, 13), (12, 15), (22, 9), (34, 14), (16, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "In a 30x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 28), (23, 24), (1, 25), (22, 3), (19, 22), (20, 28), (22, 22), (18, 29), (14, 26), (13, 33), (20, 21), (27, 30), (16, 19), (9, 19), (23, 10), (12, 4), (28, 4), (13, 28), (4, 9), (18, 0), (1, 23), (27, 13), (8, 28), (9, 30), (3, 5), (1, 18), (4, 20), (21, 24), (22, 34), (21, 30), (5, 34), (4, 11), (28, 29), (6, 0), (25, 30), (13, 5), (16, 23), (11, 3), (4, 21), (3, 16), (27, 10), (18, 3), (7, 18), (12, 23), (5, 32), (21, 5), (23, 21), (8, 2), (3, 0), (23, 23), (7, 11), (2, 26), (17, 2), (20, 23), (5, 28), (8, 1), (22, 14), (24, 5), (28, 14), (25, 19), (29, 13), (3, 7), (22, 20), (26, 32), (26, 26), (24, 21), (15, 7), (18, 34), (5, 15), (9, 5), (13, 13), (16, 27), (10, 1), (16, 18), (27, 18), (21, 2), (8, 32), (19, 28), (17, 31), (1, 10), (27, 7), (22, 15), (27, 21), (25, 22), (6, 4), (12, 26), (23, 15), (20, 9), (21, 32), (15, 20), (7, 30), (15, 11), (29, 19), (22, 27), (28, 31), (29, 26), (26, 23), (20, 10), (7, 4), (17, 22), (7, 9), (18, 24), (12, 20), (18, 25), (11, 30), (6, 8), (21, 14), (9, 17), (2, 28), (9, 6), (26, 14), (0, 2), (14, 14), (6, 2), (20, 22), (16, 29), (21, 29), (8, 25), (25, 23), (27, 29), (27, 22), (17, 13), (4, 32), (20, 0), (26, 19), (28, 21), (4, 29), (12, 27), (4, 33), (13, 3), (1, 31), (16, 6), (26, 11), (0, 19), (18, 33), (3, 3), (9, 23), (13, 10), (13, 19), (8, 5), (26, 18), (21, 26), (28, 32), (10, 29), (14, 2), (15, 25), (19, 26), (27, 27), (5, 5), (22, 9), (16, 10), (4, 1), (15, 0), (16, 26), (23, 7), (0, 20), (1, 0), (10, 4), (18, 26), (12, 13), (9, 15), (0, 10), (15, 10), (16, 2), (19, 0), (7, 5), (8, 13), (7, 21), (26, 5), (23, 17), (29, 23), (16, 14), (19, 23), (6, 12), (15, 26), (29, 0), (25, 31), (24, 28), (10, 12), (15, 30), (6, 5), (6, 19), (25, 12), (6, 9), (11, 1), (2, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 5), (35, 12), (19, 4), (9, 7), (0, 21), (16, 13), (9, 23), (28, 23), (32, 29), (31, 24), (15, 20), (15, 3), (6, 17), (24, 20), (19, 1), (10, 31), (13, 2), (7, 1), (31, 29), (25, 20), (25, 31), (26, 30), (7, 13), (27, 11), (18, 14), (4, 15), (25, 15), (15, 28), (21, 18), (26, 12), (19, 30), (8, 17), (17, 7), (28, 20), (22, 12), (16, 23), (12, 1), (11, 26), (25, 30), (13, 31), (36, 24), (2, 31), (14, 2), (14, 13), (32, 17), (17, 33), (3, 16), (15, 33), (13, 19), (27, 29), (7, 7), (17, 27), (22, 24), (17, 34), (27, 3), (2, 2), (28, 17), (9, 15), (34, 32), (29, 19), (31, 34), (34, 12), (22, 25), (34, 16), (2, 28), (27, 12), (4, 13), (2, 19), (29, 6), (23, 18), (35, 14), (26, 29), (21, 3), (16, 20), (23, 5), (21, 1), (21, 30), (36, 22), (22, 26), (5, 24), (15, 26), (1, 23), (26, 31), (22, 6), (19, 16), (29, 34), (11, 8), (16, 18), (20, 22), (20, 13), (17, 0), (16, 25), (36, 27), (8, 5), (2, 20), (23, 25), (10, 5), (33, 1), (15, 13), (19, 29), (28, 31), (34, 8), (6, 20), (18, 16), (20, 18), (19, 19), (36, 11), (6, 6), (10, 12), (2, 9), (31, 4), (10, 26), (26, 23), (30, 33), (31, 2), (6, 27), (29, 17), (28, 29), (13, 5), (7, 9), (34, 25), (21, 28), (15, 23), (27, 34), (26, 13), (22, 16), (19, 8), (35, 9), (17, 32), (5, 9), (9, 1), (19, 9), (12, 21), (21, 10), (28, 28), (20, 8), (9, 21), (29, 32), (28, 27), (29, 0), (34, 9), (11, 19), (26, 14), (7, 5), (14, 3), (20, 34), (20, 1), (6, 1), (8, 32), (0, 22), (8, 27), (34, 24), (21, 8), (5, 21), (14, 8), (2, 29), (6, 11), (19, 33), (32, 28), (21, 32), (17, 3), (29, 3), (12, 34), (16, 31), (19, 20), (8, 30), (28, 16), (19, 11), (24, 30), (13, 20), (14, 29), (27, 24), (29, 26), (20, 6), (33, 24), (0, 3), (33, 16), (30, 1), (10, 11), (35, 2), (1, 22), (21, 15), (3, 19), (3, 4), (24, 10), (2, 10), (1, 33), (35, 8), (14, 12), (5, 17), (5, 13), (11, 13), (18, 7), (36, 31), (1, 17), (31, 27), (29, 30), (6, 10), (34, 33), (8, 7), (32, 31), (20, 30), (8, 11), (11, 5), (32, 33), (12, 8), (16, 10), (23, 1), (5, 31), (0, 2), (11, 18), (28, 0), (6, 28), (15, 5), (30, 9), (16, 32), (12, 27), (7, 30), (34, 23), (7, 14), (10, 30), (5, 3), (17, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (37, 25), (8, 21), (31, 31), (18, 6), (37, 21), (21, 4), (21, 9), (19, 29), (5, 7), (13, 27), (8, 29), (34, 5), (34, 25), (12, 10), (27, 11), (18, 21), (1, 13), (26, 15), (27, 6), (2, 22), (10, 8), (1, 12), (7, 32), (6, 9), (20, 28), (33, 28), (29, 0), (8, 12), (30, 5), (18, 16), (24, 9), (21, 31), (31, 20), (1, 4), (22, 4), (26, 26), (26, 13), (2, 15), (24, 8), (36, 9), (9, 32), (37, 23), (33, 5), (27, 29), (28, 21), (11, 27), (15, 2), (5, 4), (32, 14), (29, 4), (6, 22), (36, 23), (8, 30), (22, 19), (7, 31), (24, 7), (32, 0), (13, 2), (30, 24), (1, 0), (7, 5), (14, 19), (15, 10), (30, 29), (12, 2), (0, 23), (19, 14), (10, 30), (33, 15), (0, 21), (15, 1), (7, 3), (18, 29), (9, 12), (1, 20), (16, 29), (14, 12), (28, 22), (6, 24), (34, 11), (26, 7), (5, 8), (23, 23), (16, 13), (0, 5), (29, 26), (24, 24), (31, 13), (16, 28), (6, 20), (18, 5), (21, 29), (15, 14), (6, 1), (27, 23), (4, 21), (26, 9), (21, 28), (2, 23), (29, 7), (32, 4), (6, 17), (37, 9), (29, 17), (5, 31), (4, 28), (34, 13), (29, 5), (23, 2), (28, 2), (21, 20), (4, 13), (8, 9), (2, 2), (19, 25), (14, 2), (36, 20), (31, 23), (16, 5), (26, 2), (35, 29), (24, 11), (36, 0), (2, 20), (37, 8), (8, 14), (37, 11), (30, 1), (17, 15), (30, 19), (33, 20), (6, 32), (36, 7), (23, 8), (25, 28), (23, 22), (32, 1), (17, 19), (19, 23), (1, 11), (28, 32), (26, 12), (16, 9), (27, 0), (9, 3), (12, 9), (9, 11), (4, 18), (28, 1), (23, 1), (22, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 33), (12, 20), (9, 16), (10, 32), (23, 15), (21, 25), (3, 22), (3, 35), (8, 0), (2, 6), (0, 24), (21, 16), (21, 11), (18, 23), (30, 28), (2, 9), (7, 20), (10, 12), (8, 30), (28, 22), (5, 6), (27, 4), (17, 13), (28, 25), (18, 30), (22, 37), (3, 24), (20, 37), (30, 19), (31, 15), (5, 38), (16, 9), (20, 7), (30, 27), (7, 29), (32, 6), (16, 35), (15, 14), (16, 6), (1, 14), (8, 31), (15, 16), (17, 23), (0, 29), (5, 19), (7, 36), (20, 16), (30, 21), (23, 24), (16, 36), (24, 22), (1, 27), (14, 32), (13, 28), (23, 31), (8, 11), (26, 3), (29, 32), (17, 35), (27, 8), (17, 30), (19, 0), (11, 36), (15, 36), (6, 2), (12, 37), (16, 11), (30, 22), (16, 26), (22, 29), (4, 6), (30, 4), (2, 7), (20, 28), (6, 18), (10, 8), (19, 26), (9, 36), (27, 11), (24, 11), (2, 37), (13, 19), (1, 21), (14, 6), (11, 19), (4, 30), (15, 6), (7, 21), (19, 11), (26, 37), (12, 13), (19, 16), (1, 25), (10, 21), (24, 7), (1, 11), (18, 10), (16, 18), (1, 8), (24, 1), (19, 1), (29, 17), (25, 6), (9, 2), (23, 27), (30, 37), (5, 37), (17, 4), (32, 26), (3, 23), (9, 25), (17, 6), (2, 18), (29, 30), (0, 19), (22, 38), (0, 17), (18, 29), (0, 9), (21, 12), (29, 20), (3, 27), (10, 29), (17, 7), (22, 27), (11, 26), (0, 14), (2, 3), (9, 29), (12, 27), (26, 29), (3, 38), (32, 5), (23, 35), (6, 14), (1, 34), (7, 33), (7, 12), (32, 21), (12, 33), (30, 17), (2, 22), (22, 28), (30, 18), (6, 21), (15, 27), (12, 4), (31, 33), (21, 23), (16, 31), (19, 13), (7, 23), (11, 18), (28, 3), (14, 2), (13, 36), (20, 29), (25, 16), (29, 14), (17, 5), (19, 33), (29, 22), (0, 12), (0, 32), (9, 10), (12, 17), (14, 34), (13, 10), (10, 28), (16, 34), (6, 13), (19, 2), (4, 38), (31, 27), (21, 2), (24, 21), (13, 21), (7, 8), (22, 3), (19, 36), (15, 24), (22, 4), (29, 16), (5, 36), (5, 20), (30, 1), (9, 18), (18, 7), (30, 5), (31, 3), (22, 30), (15, 37), (13, 31), (3, 15), (17, 21), (16, 12), (29, 24), (2, 36), (24, 35), (13, 38), (23, 32), (2, 15), (9, 13), (17, 28), (2, 38), (10, 13), (22, 36), (15, 35), (25, 15), (25, 23), (2, 29), (15, 8), (7, 10), (26, 35), (31, 9), (7, 32), (24, 0), (24, 26), (9, 9), (17, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 18), (34, 22), (30, 0), (23, 22), (16, 25), (22, 3), (27, 12), (12, 33), (1, 5), (31, 20), (24, 35), (4, 10), (31, 2), (23, 17), (34, 35), (34, 23), (2, 25), (31, 11), (26, 24), (33, 10), (4, 33), (29, 32), (14, 2), (7, 12), (27, 1), (18, 30), (33, 14), (11, 19), (26, 31), (20, 21), (4, 16), (28, 9), (34, 1), (33, 34), (32, 27), (0, 2), (9, 10), (22, 8), (11, 34), (1, 3), (0, 12), (31, 17), (8, 31), (10, 11), (34, 12), (11, 33), (26, 35), (17, 17), (25, 28), (8, 10), (23, 23), (33, 4), (3, 13), (34, 24), (24, 25), (22, 10), (11, 16), (14, 10), (28, 23), (35, 8), (1, 11), (25, 33), (30, 15), (18, 14), (28, 29), (3, 31), (1, 18), (3, 27), (7, 15), (24, 33), (20, 10), (6, 14), (6, 31), (21, 5), (19, 34), (22, 6), (11, 12), (26, 18), (1, 22), (29, 6), (35, 1), (3, 0), (32, 7), (3, 18), (15, 24), (10, 6), (31, 13), (33, 3), (28, 1), (29, 21), (29, 13), (24, 2), (16, 14), (28, 22), (2, 4), (3, 11), (4, 31), (9, 16), (19, 7), (35, 11), (23, 13), (3, 9), (24, 19), (0, 32), (6, 34), (9, 17), (13, 32), (9, 32), (2, 3), (34, 27), (4, 27), (25, 8), (14, 9), (19, 25), (1, 25), (7, 8), (20, 30), (11, 35), (2, 31), (9, 29), (10, 26), (12, 9), (31, 7), (8, 26), (5, 27), (19, 18), (23, 5), (5, 31), (14, 3), (7, 25), (11, 23), (5, 3), (29, 20), (10, 20), (6, 4), (11, 15), (32, 16), (23, 11), (0, 35), (32, 33), (28, 2), (11, 11), (16, 23), (20, 31), (14, 23), (26, 13), (33, 17), (23, 33), (22, 34), (0, 24), (10, 35), (21, 12), (13, 16), (12, 0), (20, 9), (19, 31), (19, 13), (34, 6), (30, 14), (14, 27), (32, 31), (11, 3), (16, 26), (11, 28), (0, 34), (2, 34), (32, 35), (24, 34), (14, 34), (18, 24), (24, 27), (27, 34), (23, 28), (35, 2), (25, 14), (1, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (36, 3), (14, 29), (20, 5), (18, 21), (34, 29), (29, 22), (27, 18), (8, 15), (33, 3), (1, 24), (8, 21), (30, 16), (15, 10), (3, 0), (32, 12), (31, 0), (23, 27), (32, 4), (30, 1), (27, 17), (12, 13), (1, 12), (1, 13), (25, 6), (33, 5), (32, 14), (19, 30), (21, 2), (26, 22), (3, 24), (24, 10), (24, 7), (16, 21), (29, 30), (35, 25), (35, 27), (11, 4), (15, 12), (18, 12), (31, 30), (11, 9), (34, 6), (35, 17), (30, 17), (15, 20), (28, 11), (26, 2), (16, 30), (24, 6), (17, 8), (4, 2), (6, 3), (24, 3), (37, 6), (30, 21), (5, 27), (6, 22), (18, 18), (37, 21), (35, 24), (9, 23), (12, 3), (5, 0), (35, 2), (15, 26), (4, 7), (2, 7), (16, 7), (26, 25), (10, 13), (18, 4), (28, 23), (13, 17), (8, 20), (7, 5), (10, 23), (37, 9), (9, 14), (24, 20), (10, 6), (11, 22), (8, 30), (21, 19), (7, 3), (0, 10), (4, 12), (36, 9), (25, 22), (31, 14), (32, 21), (34, 2), (11, 15), (19, 15), (20, 18), (37, 3), (33, 16), (30, 4), (26, 6), (8, 19), (26, 26), (28, 14), (17, 19), (12, 25), (20, 26), (20, 9), (9, 12), (17, 27), (36, 25), (2, 9), (35, 4), (35, 30), (22, 18), (0, 24), (24, 23), (1, 0), (19, 13), (28, 29), (11, 18), (37, 4), (10, 18), (34, 28), (21, 30), (20, 7), (2, 11), (13, 8), (19, 22), (4, 0), (2, 0), (35, 26), (1, 7), (3, 20), (14, 20), (19, 2), (36, 13), (0, 2), (7, 19), (34, 12), (22, 6), (11, 30), (19, 20), (35, 1), (15, 11), (9, 25), (10, 0), (28, 9), (10, 25), (6, 24), (35, 20), (30, 20), (18, 20), (11, 27), (6, 26), (30, 28), (35, 9), (30, 14), (10, 2), (0, 29), (29, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 28), (2, 3), (31, 7), (21, 25), (6, 2), (30, 25), (25, 16), (12, 29), (3, 1), (29, 26), (9, 29), (1, 5), (19, 7), (2, 29), (22, 34), (22, 11), (20, 5), (22, 18), (10, 16), (19, 12), (7, 19), (25, 7), (2, 20), (2, 24), (17, 11), (23, 22), (29, 34), (0, 7), (13, 31), (13, 16), (26, 17), (21, 13), (8, 20), (8, 3), (2, 34), (26, 11), (14, 34), (12, 20), (23, 31), (23, 5), (11, 26), (19, 29), (14, 11), (13, 9), (3, 31), (24, 27), (19, 8), (2, 10), (1, 26), (10, 21), (2, 12), (25, 22), (4, 33), (18, 34), (3, 34), (9, 7), (23, 14), (24, 19), (18, 9), (3, 9), (6, 34), (21, 7), (21, 1), (6, 25), (10, 23), (2, 18), (10, 26), (27, 4), (12, 5), (28, 27), (1, 9), (2, 14), (30, 26), (22, 24), (15, 1), (2, 17), (11, 11), (28, 1), (13, 1), (7, 8), (6, 19), (9, 8), (0, 9), (22, 25), (1, 19), (11, 22), (15, 31), (9, 28), (12, 15), (8, 19), (6, 13), (25, 30), (27, 11), (27, 5), (6, 12), (29, 30), (21, 31), (25, 24), (17, 14), (19, 0), (27, 2), (20, 9), (21, 11), (2, 2), (16, 12), (15, 10), (4, 15), (1, 8), (16, 4), (5, 29), (0, 25), (2, 28), (4, 8), (4, 10), (23, 17), (22, 8), (9, 27), (14, 9), (0, 27), (18, 4), (19, 18), (2, 31), (30, 10), (23, 28), (14, 24), (15, 20), (9, 25), (30, 33), (14, 20), (26, 5), (23, 10), (3, 22), (5, 32), (22, 16), (15, 23), (16, 15), (19, 5), (23, 24), (1, 15), (20, 13), (8, 7), (26, 18), (29, 31), (10, 19), (9, 26), (27, 7), (22, 5), (9, 24), (21, 15), (18, 18), (16, 5), (9, 3), (7, 7), (31, 31), (22, 21), (10, 10), (14, 3), (12, 24), (3, 28), (31, 20), (8, 26), (20, 16), (28, 32), (0, 21), (15, 32), (13, 0), (13, 8), (0, 13), (20, 17), (31, 27), (23, 34), (21, 21), (23, 23), (29, 22), (12, 28), (31, 3), (15, 34), (14, 21), (5, 10), (23, 29), (12, 4), (1, 30), (27, 18), (6, 8), (12, 27), (23, 21), (1, 27), (31, 23), (31, 0), (5, 19), (12, 22), (2, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 6), (34, 24), (28, 31), (27, 21), (26, 28), (15, 30), (32, 18), (26, 27), (12, 24), (32, 14), (1, 10), (30, 3), (18, 8), (7, 34), (11, 2), (33, 11), (33, 16), (17, 0), (8, 28), (24, 3), (33, 9), (13, 21), (18, 2), (4, 27), (2, 13), (23, 2), (5, 23), (14, 4), (35, 16), (0, 37), (13, 12), (29, 17), (24, 19), (30, 0), (32, 28), (2, 25), (11, 34), (9, 0), (29, 18), (16, 27), (21, 0), (14, 33), (26, 26), (31, 36), (28, 20), (14, 24), (15, 31), (11, 30), (6, 16), (34, 37), (23, 11), (25, 35), (22, 13), (12, 29), (32, 24), (0, 9), (33, 22), (19, 28), (0, 12), (4, 14), (30, 17), (16, 36), (26, 34), (3, 3), (34, 34), (5, 11), (10, 26), (8, 29), (6, 36), (21, 30), (32, 31), (4, 28), (9, 33), (6, 21), (2, 37), (19, 30), (3, 28), (17, 18), (30, 4), (5, 28), (29, 16), (8, 34), (3, 8), (1, 7), (7, 19), (1, 14), (15, 29), (24, 10), (12, 6), (31, 37), (5, 37), (26, 21), (3, 29), (13, 35), (14, 6), (20, 24), (0, 6), (27, 26), (34, 26), (6, 31), (33, 17), (4, 24), (5, 17), (6, 26), (23, 7), (14, 25), (31, 18), (34, 18), (12, 19), (20, 11), (12, 18), (35, 14), (23, 6), (14, 23), (15, 21), (3, 18), (23, 9), (21, 18), (21, 21), (2, 0), (19, 18), (32, 17), (31, 20), (28, 35), (12, 36), (27, 29), (22, 10), (28, 26), (33, 33), (27, 27), (32, 0), (8, 17), (5, 30), (24, 31), (1, 23), (5, 24), (27, 33), (28, 10), (3, 1), (21, 27), (7, 38), (6, 29), (7, 37), (13, 2), (33, 38), (33, 12), (7, 13), (5, 5), (15, 19), (23, 13), (18, 5), (17, 13), (8, 38), (25, 25), (18, 19), (20, 8), (27, 30), (0, 30), (28, 24), (13, 20), (32, 7), (25, 28), (3, 10), (35, 35), (5, 9), (35, 9), (17, 37), (31, 26), (6, 19), (15, 6), (26, 17), (10, 0), (23, 36), (12, 16), (19, 14), (16, 14), (19, 35), (26, 1), (24, 27), (25, 31), (3, 17), (20, 12), (34, 33), (35, 12), (15, 34), (27, 20), (29, 33), (10, 12), (1, 38), (9, 16), (3, 32), (3, 7), (22, 18), (26, 31), (21, 15), (31, 31), (20, 10), (3, 38), (23, 17), (22, 9), (30, 24), (10, 16), (25, 24), (34, 22), (6, 3), (10, 18), (16, 1), (25, 13), (11, 6), (7, 7), (12, 34), (9, 21), (15, 18), (6, 5), (17, 29), (19, 33), (17, 12), (7, 6), (29, 3), (28, 8), (11, 28), (13, 11), (15, 26), (11, 33), (5, 20), (25, 18), (7, 17), (26, 33), (28, 2), (29, 6), (25, 1), (1, 11), (14, 18), (35, 25), (30, 20), (32, 29), (8, 12), (0, 28), (8, 9), (14, 15), (13, 4), (14, 37), (29, 36), (2, 38), (17, 22), (28, 11), (7, 25), (19, 26), (1, 3), (31, 1), (3, 16), (27, 13), (33, 27), (33, 35), (2, 24), (34, 6), (8, 20), (35, 6), (28, 6), (32, 32), (29, 23), (9, 29), (6, 33), (20, 9), (15, 24), (15, 36), (16, 24), (27, 16), (25, 12), (2, 7), (3, 26), (26, 14), (12, 21), (25, 34), (35, 27), (2, 34), (19, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "In a 34x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 12), (31, 30), (5, 17), (33, 6), (2, 18), (14, 22), (26, 11), (30, 21), (10, 11), (32, 13), (2, 9), (3, 32), (2, 11), (15, 16), (7, 25), (14, 12), (15, 1), (14, 24), (7, 4), (9, 23), (20, 12), (28, 16), (1, 18), (21, 19), (29, 16), (13, 15), (14, 14), (30, 15), (3, 19), (29, 1), (28, 0), (19, 27), (16, 13), (25, 8), (3, 20), (33, 0), (29, 20), (32, 26), (1, 3), (9, 21), (8, 14), (9, 19), (6, 23), (32, 20), (32, 5), (5, 4), (28, 18), (17, 12), (13, 13), (33, 27), (24, 7), (0, 4), (11, 18), (27, 17), (3, 22), (9, 3), (14, 13), (1, 28), (3, 7), (3, 21), (21, 25), (25, 0), (24, 19), (15, 4), (20, 11), (12, 28), (12, 17), (2, 32), (26, 32), (5, 21), (1, 15), (4, 9), (8, 19), (5, 28), (17, 28), (4, 19), (18, 28), (29, 21), (17, 19), (1, 2), (21, 28), (22, 20), (15, 30), (10, 27), (13, 29), (25, 20), (10, 22), (18, 7), (27, 25), (33, 24), (17, 0), (18, 11), (5, 5), (27, 28), (10, 19), (16, 24), (12, 0), (7, 18), (11, 10), (10, 31), (25, 10), (7, 10), (7, 28), (12, 32), (19, 19), (7, 13), (27, 10), (21, 20), (23, 33), (28, 32), (0, 18), (16, 21), (16, 26), (16, 0), (9, 6), (17, 2), (15, 7), (13, 25), (0, 6), (19, 10), (28, 22), (10, 8), (25, 1), (29, 22), (22, 21), (1, 20), (11, 7), (0, 17), (17, 10), (29, 23), (12, 22), (19, 8), (0, 30), (27, 12), (5, 25), (28, 14), (23, 7), (22, 7), (28, 31), (22, 3), (28, 10), (13, 10), (27, 20), (24, 29), (18, 20), (17, 25), (11, 17), (0, 3), (15, 14), (23, 25), (15, 18), (33, 18), (33, 5), (16, 17), (14, 31), (8, 6), (2, 23), (0, 20), (5, 3), (8, 12), (20, 18), (6, 28), (0, 16), (4, 23), (6, 25), (29, 2), (1, 33), (5, 2), (8, 0), (11, 14), (32, 21), (17, 16), (22, 25), (15, 2), (3, 9), (11, 31), (13, 19), (33, 28), (27, 32), (30, 33), (18, 27), (29, 6), (22, 4), (29, 0), (33, 22), (8, 29), (16, 19), (31, 9), (23, 15), (33, 2), (1, 22), (12, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 33x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 33), (8, 22), (22, 5), (0, 1), (20, 37), (30, 31), (10, 32), (20, 8), (31, 8), (12, 8), (2, 5), (32, 27), (0, 36), (29, 26), (20, 24), (15, 17), (32, 33), (13, 20), (23, 35), (21, 7), (32, 32), (30, 22), (32, 17), (8, 20), (15, 26), (23, 27), (24, 1), (10, 24), (20, 2), (32, 31), (19, 2), (3, 15), (24, 17), (5, 18), (11, 30), (21, 25), (20, 26), (9, 37), (7, 37), (12, 3), (16, 3), (29, 9), (11, 14), (25, 13), (29, 35), (4, 33), (23, 8), (25, 36), (10, 31), (31, 27), (8, 13), (8, 7), (18, 24), (28, 6), (30, 9), (8, 27), (25, 31), (25, 0), (12, 19), (13, 30), (3, 14), (8, 38), (3, 32), (27, 29), (27, 11), (19, 23), (2, 2), (11, 1), (15, 16), (26, 7), (19, 20), (3, 25), (1, 4), (6, 33), (13, 0), (23, 17), (30, 34), (0, 6), (25, 1), (26, 5), (16, 31), (30, 33), (22, 2), (6, 8), (24, 12), (11, 36), (4, 31), (20, 31), (17, 33), (12, 13), (18, 28), (1, 34), (16, 7), (32, 22), (6, 14), (5, 35), (17, 17), (32, 7), (9, 0), (21, 9), (7, 33), (21, 38), (1, 2), (3, 3), (3, 21), (2, 18), (13, 26), (6, 30), (28, 19), (15, 35), (28, 23), (23, 38), (12, 17), (22, 8), (24, 24), (25, 20), (12, 14), (30, 11), (8, 24), (10, 10), (3, 31), (8, 14), (24, 9), (28, 4), (13, 4), (25, 5), (20, 0), (20, 18), (8, 26), (25, 9), (28, 38), (24, 14), (20, 6), (31, 17), (28, 14), (19, 18), (4, 29), (24, 16), (30, 24), (29, 19), (8, 0), (29, 1), (13, 34), (5, 4), (18, 16), (12, 24), (16, 21), (0, 2), (11, 9), (7, 9), (27, 19), (22, 1), (29, 28), (17, 30), (8, 6), (5, 31), (31, 2), (16, 10), (20, 15), (31, 34), (30, 15), (24, 33), (16, 27), (20, 28), (28, 22), (19, 17), (18, 12), (29, 33), (29, 31), (1, 20), (30, 26), (11, 23), (32, 13), (11, 28), (5, 30), (10, 9), (0, 29), (12, 7), (0, 8), (30, 35), (5, 7), (14, 14), (5, 29), (28, 9), (14, 34), (20, 17), (15, 22), (30, 30), (10, 29), (26, 21), (24, 35), (5, 28), (9, 7), (28, 18), (0, 22), (0, 37), (4, 34), (25, 6), (15, 37), (17, 24), (26, 10), (11, 11), (22, 14), (4, 9), (27, 7), (10, 2), (29, 22), (9, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 34x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 27), (22, 19), (23, 2), (20, 9), (24, 19), (24, 32), (15, 31), (11, 8), (32, 25), (19, 2), (2, 7), (15, 7), (18, 7), (4, 6), (11, 28), (11, 27), (7, 32), (25, 24), (5, 10), (32, 4), (1, 10), (20, 24), (28, 13), (29, 8), (11, 11), (27, 32), (30, 12), (6, 21), (19, 12), (28, 6), (4, 32), (13, 11), (25, 29), (7, 2), (29, 23), (17, 22), (22, 6), (0, 7), (29, 27), (33, 21), (6, 0), (9, 19), (8, 1), (26, 7), (1, 2), (5, 30), (10, 12), (24, 2), (4, 15), (8, 3), (26, 11), (26, 21), (16, 3), (18, 9), (10, 20), (27, 4), (27, 10), (8, 12), (27, 22), (29, 16), (5, 27), (21, 30), (28, 29), (19, 17), (7, 28), (8, 31), (8, 0), (18, 4), (27, 23), (2, 22), (7, 9), (16, 2), (16, 27), (4, 11), (29, 32), (3, 31), (11, 19), (32, 19), (30, 30), (24, 27), (12, 13), (6, 24), (27, 25), (15, 0), (28, 4), (15, 3), (13, 10), (13, 22), (9, 32), (12, 4), (16, 5), (30, 19), (10, 29), (14, 20), (21, 2), (4, 26), (11, 15), (10, 21), (31, 9), (23, 19), (30, 15), (3, 10), (27, 20), (12, 16), (24, 3), (2, 5), (5, 7), (28, 21), (7, 6), (33, 10), (16, 13), (4, 28), (28, 30), (7, 14), (10, 23), (32, 11), (1, 31), (5, 24), (7, 3), (10, 9), (31, 7), (30, 0), (21, 16), (32, 12), (23, 20), (5, 11), (29, 5), (21, 18), (21, 8), (3, 27), (33, 26), (21, 17), (23, 30), (33, 8), (4, 20), (22, 29), (23, 13), (19, 1), (10, 30), (27, 3), (11, 0), (24, 28), (32, 1), (3, 29), (2, 19), (2, 11), (20, 22), (18, 3), (13, 31), (24, 30), (17, 28), (17, 23), (30, 26), (22, 31), (29, 12), (19, 7), (18, 6), (5, 17), (19, 19), (20, 21), (23, 12), (21, 22), (2, 21), (5, 8), (2, 4), (5, 20), (1, 3), (19, 23), (5, 16), (8, 14), (24, 15), (14, 0), (17, 21), (4, 10), (5, 9), (23, 25), (25, 23), (15, 8), (23, 16), (33, 16), (25, 17), (16, 25), (24, 0), (1, 13), (30, 9), (11, 20), (4, 17), (23, 26), (17, 14), (5, 18), (19, 10), (7, 5), (2, 13), (25, 20), (26, 18), (6, 16), (9, 17), (3, 2), (25, 31), (7, 19), (7, 31), (24, 5), (1, 19), (0, 22), (28, 28), (6, 9), (30, 6), (16, 21), (28, 11), (23, 21), (29, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 38x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (36, 4), (4, 16), (6, 21), (20, 23), (24, 22), (9, 31), (3, 6), (22, 23), (36, 3), (23, 12), (18, 5), (21, 14), (0, 13), (5, 25), (20, 10), (10, 12), (27, 11), (36, 23), (20, 12), (20, 31), (34, 28), (6, 13), (18, 13), (32, 29), (1, 8), (14, 5), (16, 21), (2, 19), (31, 27), (37, 25), (8, 15), (17, 26), (14, 2), (30, 25), (11, 17), (31, 13), (24, 15), (10, 27), (10, 4), (31, 19), (18, 14), (31, 17), (20, 30), (16, 18), (25, 19), (23, 18), (0, 24), (10, 16), (16, 4), (14, 13), (0, 26), (9, 14), (21, 30), (36, 11), (29, 31), (14, 17), (23, 1), (33, 15), (22, 30), (26, 33), (6, 6), (30, 8), (34, 5), (10, 33), (20, 25), (31, 1), (11, 20), (27, 1), (33, 6), (28, 8), (18, 16), (13, 6), (31, 25), (23, 8), (35, 22), (14, 18), (5, 33), (7, 16), (24, 9), (7, 29), (36, 21), (7, 32), (7, 33), (15, 28), (26, 13), (6, 3), (5, 12), (35, 31), (20, 20), (8, 22), (20, 21), (21, 6), (21, 28), (2, 3), (8, 17), (9, 4), (4, 19), (2, 0), (10, 6), (8, 12), (19, 30), (22, 33), (15, 1), (12, 23), (12, 33), (4, 1), (28, 17), (30, 14), (12, 13), (18, 11), (11, 16), (31, 26), (35, 18), (19, 5), (27, 15), (7, 11), (6, 31), (32, 26), (30, 26), (31, 8), (13, 31), (25, 2), (3, 10), (26, 17), (1, 7), (26, 30), (28, 15), (19, 33), (9, 12), (24, 2), (1, 14), (30, 22), (29, 1), (10, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 14), (1, 19), (29, 24), (24, 20), (0, 2), (28, 12), (6, 7), (27, 18), (26, 16), (18, 8), (19, 10), (5, 5), (35, 1), (0, 34), (34, 13), (31, 18), (33, 23), (9, 4), (15, 17), (23, 9), (12, 32), (33, 21), (17, 27), (32, 30), (6, 28), (3, 27), (17, 2), (24, 18), (6, 21), (7, 34), (19, 9), (17, 29), (6, 13), (14, 18), (19, 35), (15, 31), (7, 25), (23, 32), (15, 30), (9, 3), (8, 0), (8, 4), (22, 17), (0, 19), (9, 17), (11, 8), (10, 35), (22, 16), (7, 12), (2, 18), (32, 0), (7, 9), (7, 24), (20, 34), (16, 28), (19, 32), (16, 2), (28, 11), (7, 7), (24, 12), (3, 13), (9, 6), (32, 24), (13, 27), (2, 35), (11, 32), (5, 18), (12, 13), (35, 30), (1, 29), (33, 10), (22, 2), (2, 27), (33, 26), (12, 25), (31, 30), (30, 7), (3, 0), (26, 0), (22, 22), (16, 1), (8, 23), (10, 27), (16, 25), (6, 31), (31, 16), (17, 8), (0, 27), (4, 29), (5, 10), (2, 16), (15, 29), (16, 12), (25, 33), (23, 11), (36, 32), (26, 1), (29, 7), (17, 18), (31, 0), (20, 11), (0, 14), (30, 9), (27, 9), (15, 28), (23, 8), (16, 6), (19, 15), (14, 16), (14, 34), (35, 21), (23, 3), (30, 19), (31, 25), (21, 32), (18, 10), (12, 2), (21, 14), (33, 3), (0, 12), (15, 15), (19, 27), (30, 3), (24, 3), (23, 2), (7, 5), (1, 8), (20, 29), (21, 25), (28, 18), (27, 5), (36, 3), (3, 11), (2, 12), (5, 23), (32, 8), (34, 32), (18, 4), (14, 35), (16, 7), (11, 23), (25, 14), (23, 19), (3, 6), (0, 15), (30, 22), (25, 16), (19, 34), (13, 34), (26, 24), (8, 3), (9, 16), (30, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 27), (8, 11), (0, 5), (13, 27), (23, 21), (3, 12), (21, 11), (2, 33), (18, 10), (23, 20), (9, 18), (13, 30), (28, 2), (5, 13), (10, 23), (22, 32), (12, 13), (11, 28), (18, 9), (18, 4), (8, 15), (14, 18), (0, 8), (17, 23), (4, 13), (12, 23), (10, 7), (29, 34), (14, 14), (17, 16), (30, 2), (29, 4), (25, 22), (9, 3), (22, 21), (30, 6), (16, 4), (3, 35), (4, 22), (13, 28), (11, 29), (25, 7), (6, 28), (13, 5), (5, 8), (4, 15), (7, 4), (22, 23), (22, 10), (17, 6), (11, 23), (28, 10), (24, 26), (17, 3), (6, 13), (14, 30), (4, 9), (9, 29), (18, 32), (32, 27), (15, 23), (11, 13), (22, 27), (22, 31), (26, 22), (19, 1), (5, 10), (24, 1), (32, 30), (0, 34), (9, 5), (9, 32), (6, 33), (14, 31), (17, 4), (15, 20), (4, 2), (7, 18), (32, 6), (7, 7), (22, 14), (22, 4), (29, 29), (3, 16), (10, 5), (9, 0), (29, 35), (13, 10), (20, 23), (2, 25), (11, 18), (28, 4), (24, 18), (23, 27), (14, 26), (2, 29), (9, 30), (13, 11), (18, 16), (16, 7), (14, 9), (19, 25), (12, 24), (4, 21), (31, 7), (2, 15), (8, 20), (9, 15), (2, 35), (20, 26), (14, 32), (24, 15), (17, 10), (8, 17), (4, 23), (14, 24), (25, 29), (24, 16), (10, 4), (0, 30), (25, 30), (28, 25), (12, 11), (2, 19), (24, 6), (32, 18), (15, 21), (8, 9), (2, 13), (20, 24), (14, 1), (15, 16), (10, 24), (31, 21), (1, 0), (18, 1), (21, 8), (19, 2), (17, 13), (16, 32), (29, 25), (23, 10), (9, 35), (7, 35), (22, 29), (12, 2), (30, 26), (12, 9), (32, 7), (26, 16), (30, 9), (2, 12), (16, 14), (27, 9), (28, 35), (14, 27), (18, 15), (4, 12), (3, 25), (10, 19), (13, 22), (28, 1), (2, 0), (1, 21), (15, 8), (26, 2), (20, 31), (26, 14), (2, 32), (19, 9), (3, 29), (8, 31), (17, 22), (1, 10), (1, 18), (23, 30), (11, 3), (10, 26), (21, 17), (7, 15), (0, 15), (26, 35), (15, 14), (28, 11), (23, 3), (21, 21), (23, 4), (14, 2), (5, 9), (20, 27), (22, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 32), (3, 32), (30, 24), (10, 15), (20, 14), (12, 21), (16, 9), (12, 26), (17, 12), (25, 24), (26, 3), (28, 12), (3, 14), (12, 2), (24, 34), (20, 17), (5, 0), (10, 32), (15, 27), (23, 17), (8, 22), (10, 19), (5, 4), (23, 18), (4, 9), (6, 22), (20, 7), (2, 24), (23, 26), (27, 27), (1, 27), (28, 19), (11, 4), (8, 15), (2, 7), (25, 15), (20, 24), (14, 11), (21, 12), (3, 1), (25, 23), (8, 7), (13, 4), (28, 22), (25, 29), (20, 5), (21, 34), (17, 16), (6, 7), (19, 17), (22, 33), (27, 7), (7, 25), (22, 21), (21, 8), (29, 3), (24, 24), (16, 33), (8, 17), (9, 30), (11, 32), (7, 21), (25, 32), (5, 34), (14, 0), (12, 23), (28, 8), (20, 27), (18, 19), (23, 0), (11, 3), (8, 34), (13, 24), (3, 11), (26, 6), (19, 27), (2, 30), (27, 4), (29, 22), (16, 17), (10, 3), (2, 2), (1, 28), (17, 27), (30, 21), (5, 2), (30, 10), (6, 8), (12, 18), (28, 1), (16, 4), (26, 31), (14, 32), (17, 6), (8, 13), (19, 18), (26, 24), (28, 16), (22, 18), (4, 13), (22, 28), (13, 21), (0, 11), (30, 1), (4, 28), (0, 18), (12, 0), (13, 16), (1, 23), (9, 29), (12, 32), (18, 33), (26, 22), (18, 18), (1, 34), (17, 19), (17, 33), (30, 2), (22, 5), (7, 20), (26, 0), (1, 29), (3, 5), (4, 1), (14, 14), (5, 3), (0, 22), (2, 0), (19, 31), (15, 33), (20, 32), (10, 33), (26, 5), (17, 23), (21, 31), (21, 20), (5, 6), (14, 3), (29, 1), (5, 25), (26, 2), (9, 0), (27, 29), (25, 0), (30, 11), (11, 22), (6, 18), (8, 16), (11, 2), (6, 32), (3, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 38), (0, 11), (1, 5), (28, 6), (16, 28), (5, 14), (23, 7), (8, 34), (21, 17), (22, 2), (20, 17), (20, 5), (7, 5), (28, 24), (5, 36), (21, 11), (9, 38), (27, 25), (28, 13), (8, 9), (28, 22), (24, 0), (19, 11), (20, 29), (20, 6), (18, 21), (14, 24), (18, 22), (6, 7), (20, 9), (10, 32), (28, 36), (11, 2), (17, 31), (1, 16), (15, 31), (7, 11), (5, 33), (22, 28), (24, 28), (21, 20), (2, 2), (29, 0), (4, 5), (5, 26), (24, 37), (18, 8), (9, 33), (2, 16), (26, 31), (6, 20), (10, 0), (13, 36), (15, 6), (9, 15), (26, 9), (27, 28), (5, 7), (4, 4), (5, 0), (27, 38), (7, 2), (15, 37), (5, 4), (11, 7), (25, 27), (24, 12), (24, 29), (5, 32), (21, 5), (9, 14), (7, 36), (16, 16), (1, 2), (22, 31), (25, 17), (19, 22), (7, 27), (19, 25), (22, 32), (26, 38), (15, 38), (8, 24), (30, 23), (3, 21), (2, 25), (22, 14), (19, 30), (29, 31), (26, 5), (12, 27), (16, 25), (18, 28), (6, 29), (24, 30), (26, 2), (9, 16), (29, 22), (20, 34), (11, 14), (24, 16), (24, 2), (8, 31), (10, 5), (30, 25), (30, 16), (16, 22), (11, 33), (27, 0), (9, 32), (2, 5), (3, 9), (9, 21), (18, 3), (20, 20), (15, 29), (25, 31), (19, 7), (11, 32), (12, 21), (0, 34), (14, 34), (18, 14), (2, 35), (8, 30), (28, 32), (14, 31), (20, 16), (17, 20), (21, 32), (21, 19), (23, 18), (18, 35), (18, 17), (25, 29), (7, 1), (29, 6), (23, 23), (17, 29), (16, 0), (0, 29), (14, 23), (28, 30), (21, 1), (5, 25), (4, 3), (2, 8), (25, 38), (12, 36), (2, 20), (18, 0), (29, 29), (13, 38), (18, 4), (29, 33), (22, 30), (17, 5), (14, 28), (9, 8), (7, 24), (21, 9), (16, 13), (8, 35), (6, 18), (16, 5), (13, 21), (9, 13), (3, 24), (16, 3), (4, 36), (19, 3), (4, 10), (2, 1), (23, 9), (9, 37), (2, 28), (19, 1), (29, 38), (24, 17), (4, 6), (18, 18), (2, 27), (26, 18), (5, 6), (24, 38), (0, 13), (28, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 21), (38, 16), (16, 15), (2, 29), (2, 18), (15, 10), (23, 3), (21, 13), (10, 30), (32, 17), (35, 0), (15, 0), (23, 25), (4, 22), (8, 26), (25, 23), (13, 29), (10, 16), (5, 19), (35, 7), (35, 26), (29, 19), (37, 6), (9, 0), (5, 25), (37, 5), (3, 8), (26, 7), (9, 13), (30, 15), (11, 25), (36, 2), (23, 6), (19, 12), (27, 25), (1, 3), (18, 17), (5, 2), (31, 29), (18, 3), (27, 21), (6, 27), (31, 17), (4, 27), (8, 21), (22, 13), (25, 12), (38, 27), (28, 17), (16, 29), (7, 16), (37, 10), (20, 6), (28, 19), (15, 30), (0, 6), (36, 8), (17, 12), (10, 17), (36, 15), (19, 29), (28, 23), (31, 30), (15, 26), (21, 29), (7, 4), (26, 13), (33, 23), (24, 0), (33, 4), (37, 30), (38, 25), (36, 21), (18, 13), (30, 0), (12, 28), (10, 25), (11, 3), (21, 8), (6, 4), (31, 18), (13, 10), (6, 0), (8, 20), (23, 14), (9, 30), (6, 10), (24, 27), (20, 20), (13, 2), (37, 16), (26, 10), (12, 29), (16, 10), (4, 12), (28, 12), (24, 7), (24, 3), (9, 5), (20, 4), (8, 15), (16, 0), (27, 19), (9, 10), (34, 10), (15, 11), (26, 29), (1, 21), (3, 13), (21, 4), (38, 14), (31, 15), (31, 25), (21, 26), (0, 29), (12, 1), (17, 24), (6, 25), (35, 14), (17, 1), (6, 21), (0, 13), (26, 22), (25, 6), (3, 29), (34, 6), (1, 9), (29, 28), (7, 22), (34, 1), (15, 7), (19, 25), (11, 4), (2, 12), (31, 26), (9, 6), (31, 9), (34, 15), (17, 29), (32, 3), (27, 9), (22, 25), (29, 5), (1, 22), (21, 21), (36, 1), (25, 10), (7, 3), (37, 17), (4, 19), (29, 9), (14, 27), (11, 2), (37, 26), (22, 12), (19, 21), (38, 3), (7, 6), (6, 6), (2, 11), (9, 1), (32, 16), (22, 22), (33, 13), (27, 0), (32, 18), (15, 17), (12, 4), (27, 22), (21, 5), (19, 5), (18, 19), (30, 12), (3, 23), (11, 28), (13, 14), (20, 23), (26, 3), (28, 11), (23, 21), (15, 4), (11, 11), (4, 11), (27, 15), (26, 2), (13, 12), (36, 4), (17, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 25), (22, 30), (2, 24), (6, 8), (3, 16), (4, 8), (11, 27), (11, 37), (22, 32), (2, 20), (5, 34), (13, 22), (22, 12), (11, 22), (12, 20), (2, 38), (29, 22), (13, 3), (27, 38), (6, 5), (20, 18), (26, 12), (14, 18), (20, 34), (23, 4), (15, 19), (24, 6), (16, 5), (12, 7), (6, 31), (6, 30), (20, 38), (7, 8), (5, 36), (11, 3), (18, 0), (27, 35), (0, 21), (21, 33), (8, 12), (3, 13), (14, 10), (24, 8), (10, 23), (25, 5), (1, 34), (13, 35), (2, 3), (18, 28), (0, 38), (4, 1), (6, 4), (4, 9), (24, 24), (4, 14), (3, 15), (3, 23), (9, 30), (16, 20), (9, 9), (5, 38), (14, 7), (16, 0), (22, 33), (27, 30), (28, 23), (14, 6), (10, 35), (20, 35), (21, 0), (21, 8), (1, 24), (18, 12), (23, 27), (7, 2), (8, 22), (3, 20), (15, 28), (12, 38), (8, 18), (28, 5), (14, 19), (2, 33), (17, 14), (12, 4), (21, 15), (29, 2), (9, 11), (3, 19), (12, 9), (8, 6), (0, 27), (3, 36), (1, 2), (16, 31), (4, 37), (4, 0), (19, 14), (19, 26), (15, 17), (26, 32), (29, 33), (21, 29), (27, 23), (19, 7), (20, 13), (25, 0), (15, 2), (23, 11), (7, 14), (19, 15), (11, 6), (27, 3), (29, 36), (10, 14), (5, 6), (21, 1), (7, 9), (8, 1), (12, 25), (23, 35), (1, 1), (11, 23), (3, 22), (27, 12), (28, 7), (19, 35), (6, 32), (20, 26), (0, 12), (5, 23), (27, 18), (6, 7), (28, 22), (1, 14), (16, 17), (0, 8), (23, 18), (19, 3), (21, 21), (21, 25), (10, 11), (12, 33), (17, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 14), (32, 27), (1, 3), (31, 6), (15, 10), (35, 16), (20, 25), (23, 19), (29, 11), (6, 5), (19, 4), (30, 0), (16, 19), (30, 21), (3, 27), (12, 2), (34, 4), (28, 6), (16, 22), (14, 15), (24, 1), (22, 27), (13, 4), (5, 10), (21, 10), (23, 15), (21, 4), (17, 0), (4, 7), (7, 0), (5, 19), (26, 1), (26, 8), (32, 1), (29, 18), (25, 18), (8, 9), (5, 22), (28, 27), (21, 22), (3, 2), (34, 19), (0, 27), (23, 0), (17, 14), (13, 10), (21, 2), (16, 28), (3, 17), (5, 26), (1, 22), (16, 15), (30, 23), (28, 3), (24, 18), (10, 3), (17, 22), (5, 29), (27, 10), (24, 21), (8, 6), (31, 26), (20, 17), (34, 28), (9, 2), (6, 17), (20, 6), (5, 9), (11, 28), (25, 4), (16, 13), (4, 23), (30, 14), (15, 22), (2, 20), (35, 22), (21, 15), (27, 21), (19, 16), (14, 6), (22, 20), (36, 22), (4, 14), (34, 20), (26, 3), (34, 22), (34, 27), (7, 6), (15, 15), (36, 7), (33, 13), (9, 23), (0, 14), (20, 23), (18, 30), (15, 13), (24, 13), (23, 30), (5, 27), (16, 30), (30, 4), (5, 6), (18, 3), (20, 11), (0, 4), (27, 24), (35, 29), (1, 20), (28, 29), (14, 9), (15, 6), (6, 12), (19, 8), (7, 11), (24, 17), (8, 11), (7, 23), (4, 26), (10, 24), (22, 13), (17, 4), (25, 30), (14, 2), (0, 17), (35, 21), (13, 29), (16, 4), (28, 20), (29, 9), (11, 9), (13, 22), (26, 19), (2, 14), (4, 16), (8, 15), (35, 28), (9, 3), (30, 20), (12, 18), (19, 20), (19, 3), (17, 28), (14, 27), (2, 1), (30, 11), (14, 1), (20, 28), (33, 28), (2, 11), (1, 21), (27, 19), (28, 14), (18, 17), (31, 14), (19, 7), (2, 22), (5, 11), (33, 21), (36, 6), (4, 3), (17, 9), (18, 14), (3, 13), (20, 7), (3, 23), (18, 0), (11, 6), (27, 29), (27, 7), (18, 9), (22, 17), (31, 4), (34, 13), (19, 22), (17, 27), (27, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 8), (15, 21), (20, 16), (18, 2), (14, 2), (18, 7), (27, 7), (17, 9), (0, 3), (25, 22), (27, 8), (6, 0), (24, 19), (10, 25), (6, 29), (16, 26), (12, 16), (21, 1), (10, 9), (22, 5), (7, 7), (15, 1), (15, 15), (5, 28), (23, 13), (3, 16), (18, 20), (5, 17), (1, 26), (21, 10), (7, 1), (22, 19), (8, 16), (2, 6), (13, 12), (5, 5), (10, 7), (3, 28), (8, 12), (10, 8), (28, 19), (6, 26), (25, 11), (18, 10), (2, 11), (6, 14), (29, 5), (1, 4), (26, 17), (29, 2), (4, 7), (22, 16), (1, 6), (3, 6), (2, 13), (28, 25), (20, 0), (12, 0), (9, 8), (4, 18), (4, 12), (7, 13), (19, 23), (22, 13), (11, 11), (13, 24), (16, 23), (28, 17), (2, 24), (19, 1), (0, 27), (16, 28), (17, 3), (1, 27), (26, 11), (15, 2), (23, 9), (22, 7), (10, 24), (11, 19), (2, 23), (25, 25), (1, 3), (27, 17), (28, 26), (12, 4), (3, 1), (25, 10), (17, 19), (24, 27), (3, 11), (8, 17), (22, 11), (3, 7), (28, 2), (2, 17), (15, 11), (7, 20), (16, 13), (7, 6), (1, 18), (0, 12), (23, 18), (0, 11), (4, 22), (0, 16), (8, 28), (1, 25), (21, 18), (3, 9), (30, 4), (27, 23), (16, 25), (17, 27), (4, 1), (30, 5), (23, 10), (17, 1), (24, 4), (14, 0), (11, 6), (4, 2), (4, 27), (9, 29), (1, 9), (0, 8), (28, 10), (6, 5), (12, 2), (26, 20), (28, 29), (0, 28), (18, 18), (2, 2), (8, 2), (19, 18), (14, 12), (25, 20), (24, 22), (30, 0), (6, 9), (5, 7), (27, 25), (21, 24), (9, 21), (7, 19), (6, 19), (7, 0), (8, 27), (23, 8), (21, 8), (24, 8), (23, 7), (18, 4), (19, 6), (20, 12), (3, 2), (16, 1), (20, 7), (19, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 23), (11, 0), (34, 2), (38, 21), (23, 23), (36, 4), (23, 27), (18, 7), (21, 3), (32, 29), (16, 8), (34, 9), (18, 0), (26, 23), (11, 10), (15, 4), (15, 5), (5, 25), (32, 9), (2, 16), (2, 3), (3, 5), (31, 30), (33, 24), (21, 1), (11, 2), (21, 28), (6, 2), (10, 18), (38, 26), (24, 28), (32, 16), (10, 3), (8, 9), (12, 26), (4, 27), (15, 21), (38, 0), (27, 28), (24, 14), (25, 15), (13, 6), (24, 17), (16, 17), (32, 13), (6, 4), (18, 6), (9, 21), (6, 6), (1, 0), (19, 26), (34, 29), (18, 24), (4, 28), (0, 26), (18, 30), (34, 21), (19, 17), (28, 15), (0, 6), (9, 3), (13, 0), (0, 16), (10, 23), (25, 13), (8, 3), (1, 6), (16, 6), (13, 3), (38, 15), (19, 8), (5, 17), (9, 30), (26, 25), (2, 0), (25, 5), (24, 16), (1, 25), (22, 4), (1, 9), (15, 26), (28, 8), (6, 12), (13, 24), (32, 21), (18, 23), (35, 12), (3, 26), (3, 11), (1, 3), (3, 23), (28, 30), (32, 14), (16, 4), (35, 11), (7, 28), (19, 7), (29, 4), (5, 29), (10, 28), (23, 16), (38, 20), (17, 23), (3, 27), (12, 31), (15, 13), (32, 23), (8, 20), (27, 5), (26, 18), (27, 24), (1, 5), (21, 16), (14, 16), (6, 18), (38, 14), (38, 27), (21, 4), (7, 12), (18, 25), (15, 10), (15, 3), (6, 7), (12, 3), (6, 9), (14, 18), (27, 2), (28, 10), (1, 17), (21, 30), (0, 14), (37, 31), (19, 10), (13, 29), (34, 8), (34, 25), (37, 21), (3, 10), (26, 32), (0, 27), (21, 32), (2, 28), (16, 32), (33, 32), (34, 14), (38, 13), (36, 28), (12, 27), (25, 6), (34, 17), (38, 2), (0, 7), (0, 12), (38, 19), (20, 5), (1, 22), (5, 31), (20, 3), (8, 2), (22, 22), (31, 19), (28, 18), (23, 29), (32, 7), (9, 23), (6, 21), (37, 27), (31, 13), (20, 19), (7, 19), (28, 0), (20, 11), (4, 25), (35, 14), (11, 7), (18, 9), (18, 8), (9, 20), (15, 17), (31, 24), (11, 32), (18, 2), (8, 28), (2, 19), (11, 9), (11, 3), (25, 9), (14, 2), (19, 4), (31, 12), (37, 24), (1, 23), (35, 7), (28, 5), (18, 13), (23, 4), (21, 6), (29, 21), (13, 14), (12, 28), (16, 14), (11, 14), (1, 7), (7, 32), (15, 25), (14, 3), (27, 7), (0, 4), (21, 27), (3, 8), (5, 23), (20, 0), (30, 17), (10, 5), (21, 21), (10, 10), (27, 13), (1, 21), (26, 16), (20, 31), (9, 13), (36, 30), (27, 6), (12, 10), (33, 30), (21, 8), (17, 11), (29, 27), (36, 13), (3, 31), (14, 0), (8, 13), (21, 31), (27, 16), (25, 7), (0, 9), (37, 1), (14, 31), (20, 13), (29, 26), (27, 12), (32, 19), (4, 11), (3, 22), (14, 22), (11, 4), (5, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 24), (17, 8), (4, 7), (3, 6), (2, 29), (4, 19), (12, 13), (12, 3), (28, 7), (23, 25), (29, 4), (5, 13), (28, 8), (7, 1), (28, 34), (19, 11), (9, 35), (27, 34), (27, 15), (3, 15), (17, 23), (8, 16), (15, 33), (1, 11), (7, 25), (1, 3), (26, 13), (7, 6), (9, 7), (13, 12), (27, 13), (5, 25), (23, 23), (26, 34), (23, 33), (14, 31), (3, 4), (25, 30), (18, 7), (3, 20), (11, 14), (12, 29), (18, 24), (7, 3), (28, 29), (18, 29), (17, 11), (8, 34), (29, 12), (22, 20), (20, 5), (6, 31), (1, 7), (12, 20), (21, 23), (19, 32), (7, 9), (2, 16), (26, 0), (5, 15), (12, 27), (3, 0), (10, 15), (26, 2), (3, 26), (14, 10), (1, 23), (25, 19), (24, 8), (9, 10), (21, 4), (25, 9), (9, 22), (1, 22), (27, 28), (17, 13), (18, 27), (5, 28), (22, 13), (28, 12), (20, 22), (23, 16), (10, 1), (27, 24), (17, 22), (3, 27), (2, 23), (1, 4), (29, 7), (4, 30), (11, 18), (17, 4), (1, 8), (22, 9), (0, 13), (5, 17), (26, 1), (7, 14), (21, 34), (19, 25), (16, 8), (24, 14), (16, 13), (24, 1), (10, 27), (9, 6), (14, 24), (3, 19), (11, 22), (2, 27), (23, 17), (25, 8), (13, 2), (5, 31), (13, 17), (7, 13), (19, 10), (1, 28), (19, 26), (14, 26), (21, 16), (25, 12), (14, 25), (6, 25), (5, 12), (1, 25), (12, 28), (5, 26), (22, 7), (14, 33), (13, 32), (6, 10), (0, 19), (13, 16), (17, 9), (22, 28), (8, 1), (29, 23), (20, 29), (26, 10), (9, 24), (16, 3), (20, 1), (27, 21), (12, 35), (24, 7), (25, 16), (26, 33), (24, 27), (23, 0), (0, 12), (18, 25), (14, 3), (21, 31), (13, 24), (7, 23), (7, 10), (1, 33), (9, 31), (26, 5), (8, 29), (23, 2), (4, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 18), (14, 26), (15, 31), (12, 24), (6, 1), (21, 22), (7, 12), (20, 10), (20, 16), (12, 11), (23, 1), (1, 30), (31, 10), (4, 8), (4, 2), (3, 15), (5, 19), (9, 0), (31, 9), (12, 3), (11, 22), (6, 6), (15, 16), (4, 22), (25, 11), (15, 28), (28, 10), (16, 26), (27, 10), (32, 11), (2, 31), (21, 8), (10, 9), (31, 17), (5, 10), (13, 5), (7, 27), (23, 23), (11, 15), (22, 24), (20, 19), (16, 6), (20, 14), (23, 12), (30, 30), (5, 17), (18, 10), (6, 11), (4, 7), (31, 6), (25, 10), (14, 24), (10, 3), (6, 25), (23, 27), (12, 26), (28, 21), (17, 14), (4, 13), (26, 30), (4, 15), (9, 20), (34, 6), (14, 7), (6, 26), (3, 18), (33, 29), (16, 22), (10, 28), (22, 28), (29, 25), (10, 1), (24, 9), (9, 18), (0, 4), (9, 8), (31, 23), (13, 26), (2, 4), (24, 24), (19, 24), (26, 8), (34, 25), (21, 6), (19, 14), (12, 19), (12, 18), (29, 27), (23, 4), (24, 15), (32, 31), (0, 9), (12, 22), (8, 12), (27, 16), (12, 7), (27, 14), (30, 8), (22, 16), (19, 19), (17, 30), (33, 9), (32, 16), (13, 1), (16, 14), (2, 17), (14, 9), (3, 30), (20, 11), (30, 21), (4, 12), (30, 17), (31, 8), (6, 20), (8, 30), (6, 15), (13, 6), (4, 31), (20, 9), (14, 12), (26, 19), (33, 14), (5, 13), (16, 17), (5, 27), (0, 3), (33, 25), (11, 20), (21, 19), (14, 14), (14, 21), (1, 28), (25, 25), (28, 22), (30, 6), (12, 21), (24, 27), (15, 27), (29, 26), (21, 24), (23, 17), (6, 13), (2, 24), (21, 3), (20, 3), (25, 23), (29, 13), (28, 13), (6, 19), (28, 17), (11, 16), (16, 12), (30, 12), (5, 16), (12, 8), (34, 29), (22, 2), (28, 6), (11, 9), (4, 19), (16, 21), (34, 8), (21, 9), (7, 3), (6, 7), (28, 2), (16, 0), (6, 21), (34, 23), (19, 29), (15, 2), (29, 22), (13, 10), (29, 18), (13, 11), (5, 23), (2, 22), (9, 24), (11, 28), (32, 8), (19, 18), (19, 21), (18, 3), (11, 30), (10, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 34x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 15), (31, 20), (13, 22), (2, 10), (3, 24), (9, 20), (4, 4), (6, 16), (26, 14), (28, 23), (16, 23), (4, 23), (7, 9), (30, 3), (25, 14), (29, 14), (22, 21), (4, 11), (17, 26), (1, 10), (27, 23), (6, 7), (21, 26), (28, 15), (23, 27), (28, 21), (8, 30), (11, 16), (19, 12), (6, 22), (19, 0), (25, 11), (11, 9), (23, 23), (18, 6), (10, 4), (22, 13), (32, 17), (26, 0), (25, 22), (13, 9), (28, 12), (23, 9), (16, 15), (25, 30), (12, 21), (1, 23), (12, 3), (11, 14), (2, 22), (7, 30), (33, 25), (1, 29), (28, 11), (31, 18), (11, 8), (8, 22), (10, 29), (25, 1), (6, 28), (5, 9), (23, 6), (30, 20), (3, 5), (16, 2), (8, 14), (31, 3), (17, 2), (10, 27), (26, 20), (5, 11), (18, 1), (12, 11), (7, 6), (33, 30), (33, 16), (10, 7), (24, 26), (27, 5), (25, 3), (16, 13), (10, 8), (24, 21), (21, 21), (24, 29), (9, 12), (0, 17), (1, 21), (30, 21), (30, 31), (9, 21), (7, 14), (33, 5), (17, 20), (30, 29), (7, 8), (16, 1), (5, 2), (25, 23), (16, 9), (27, 22), (9, 0), (4, 20), (17, 4), (13, 26), (13, 24), (22, 2), (14, 29), (14, 1), (16, 17), (12, 24), (12, 29), (3, 27), (14, 7), (14, 3), (27, 4), (23, 19), (0, 8), (23, 29), (7, 28), (15, 19), (27, 6), (25, 31), (13, 25), (9, 25), (29, 13), (23, 2), (26, 9), (9, 13), (22, 3), (16, 14), (9, 16), (3, 10), (17, 22), (24, 15), (32, 29), (10, 18), (2, 23), (32, 15), (17, 31), (32, 13), (31, 9), (18, 28), (6, 25), (10, 1), (17, 9), (30, 5), (10, 11), (12, 10), (9, 7), (9, 24), (1, 4), (26, 23), (23, 13), (33, 27), (24, 28), (33, 11), (8, 7), (29, 24), (18, 19), (7, 24), (4, 0), (17, 14), (4, 12), (23, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 15), (9, 0), (37, 19), (31, 22), (3, 31), (19, 31), (30, 25), (30, 31), (17, 19), (0, 25), (34, 15), (25, 9), (30, 28), (36, 21), (35, 12), (22, 16), (4, 16), (10, 12), (27, 5), (22, 28), (11, 31), (19, 15), (34, 20), (7, 9), (28, 30), (24, 30), (33, 2), (10, 16), (26, 21), (14, 3), (34, 27), (35, 33), (37, 36), (34, 12), (3, 35), (26, 30), (32, 1), (24, 12), (3, 33), (28, 32), (23, 8), (2, 19), (17, 4), (28, 28), (0, 17), (24, 16), (23, 14), (24, 0), (5, 4), (33, 36), (30, 10), (38, 29), (35, 18), (7, 0), (9, 2), (13, 7), (0, 8), (10, 5), (33, 18), (8, 19), (4, 28), (7, 6), (1, 31), (8, 20), (6, 27), (9, 20), (5, 6), (28, 16), (8, 26), (24, 17), (37, 30), (18, 12), (25, 16), (16, 0), (4, 3), (38, 20), (4, 33), (13, 15), (33, 8), (36, 28), (0, 29), (15, 35), (33, 12), (9, 32), (21, 25), (2, 14), (9, 29), (30, 9), (0, 21), (10, 6), (33, 14), (8, 23), (6, 35), (24, 4), (18, 15), (32, 9), (14, 21), (34, 7), (11, 3), (22, 23), (3, 28), (13, 30), (1, 34), (30, 17), (17, 27), (15, 24), (7, 10), (4, 31), (24, 31), (33, 19), (23, 18), (1, 28), (34, 5), (2, 16), (7, 34), (11, 19), (12, 16), (37, 34), (11, 10), (29, 32), (8, 13), (23, 26), (10, 19), (16, 32), (13, 6), (0, 23), (27, 35), (2, 29), (37, 21), (14, 2), (19, 28), (17, 17), (20, 35), (31, 29), (34, 17), (27, 20), (5, 31), (36, 9), (32, 28), (6, 7), (28, 7), (14, 5), (20, 9), (6, 22), (17, 32), (36, 11), (20, 13), (37, 24), (22, 25), (38, 6), (9, 22), (13, 33), (11, 0), (3, 22), (26, 26), (7, 32), (16, 17), (21, 12), (31, 17), (17, 13), (15, 12), (16, 36), (15, 11), (34, 25), (22, 26), (14, 16), (35, 29), (37, 8), (8, 31), (36, 0), (25, 27), (6, 28), (18, 21), (20, 16), (25, 22), (23, 33), (18, 11), (19, 4), (37, 13), (36, 12), (35, 4), (27, 7), (26, 31), (0, 4), (0, 31), (8, 32), (32, 11), (8, 29), (38, 10), (7, 21), (1, 26), (26, 34), (4, 27), (19, 5), (1, 30), (1, 35), (23, 30), (31, 14), (38, 15), (13, 8), (18, 36), (33, 5), (4, 22), (10, 10), (26, 13), (11, 33), (3, 20), (25, 19), (36, 27), (29, 27), (34, 19), (26, 3), (5, 26), (31, 12), (30, 22), (12, 12), (24, 8), (0, 2), (17, 10), (10, 21), (6, 0), (0, 26), (9, 5), (31, 27), (10, 0), (1, 32), (30, 18), (22, 13), (5, 7), (36, 25), (32, 23), (38, 18), (11, 15), (7, 28), (9, 4), (6, 12), (3, 11), (2, 0), (29, 35), (6, 11), (31, 8), (36, 16), (5, 36), (25, 10), (32, 31), (6, 9), (18, 32), (10, 18), (2, 23), (25, 5), (6, 3), (25, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 22), (21, 20), (0, 27), (29, 27), (11, 24), (8, 3), (32, 14), (32, 26), (28, 19), (12, 2), (31, 29), (27, 4), (16, 14), (1, 24), (20, 5), (26, 15), (20, 16), (7, 4), (30, 15), (18, 0), (24, 9), (0, 13), (10, 22), (33, 4), (9, 29), (35, 20), (28, 21), (11, 22), (15, 2), (2, 20), (16, 26), (34, 3), (29, 11), (11, 28), (5, 5), (31, 28), (30, 26), (25, 15), (29, 0), (5, 16), (6, 27), (32, 11), (36, 1), (34, 0), (23, 2), (32, 5), (36, 17), (16, 8), (13, 22), (35, 21), (13, 24), (27, 0), (16, 4), (18, 21), (29, 17), (24, 21), (12, 28), (32, 4), (6, 2), (2, 27), (9, 5), (27, 9), (36, 20), (20, 22), (18, 29), (12, 25), (33, 16), (15, 27), (19, 23), (11, 21), (32, 16), (4, 27), (0, 21), (13, 21), (36, 27), (20, 2), (7, 29), (4, 1), (37, 10), (3, 19), (32, 1), (7, 5), (13, 2), (35, 8), (32, 22), (7, 0), (22, 26), (5, 28), (10, 24), (17, 6), (34, 22), (32, 19), (32, 28), (10, 17), (16, 27), (0, 26), (20, 28), (36, 6), (0, 1), (31, 6), (20, 19), (34, 23), (22, 4), (30, 20), (6, 25), (11, 9), (25, 16), (2, 11), (29, 23), (6, 5), (17, 29), (3, 3), (3, 5), (8, 29), (26, 12), (13, 23), (14, 29), (15, 17), (29, 4), (2, 24), (37, 9), (4, 8), (5, 18), (18, 5), (22, 9), (24, 4), (30, 18), (31, 21), (26, 2), (20, 7), (37, 16), (4, 24), (19, 3), (17, 23), (13, 25), (23, 10), (32, 0), (13, 29), (14, 4), (19, 24), (3, 12), (22, 19), (4, 9), (15, 13), (37, 3), (11, 16), (7, 19), (35, 23), (4, 28), (1, 4), (25, 28), (28, 14), (11, 5), (11, 23), (30, 12), (16, 10), (33, 27), (3, 6), (0, 4), (7, 1), (19, 2), (11, 12), (1, 19), (17, 4), (12, 24), (16, 16), (8, 11), (2, 7), (19, 28), (16, 20), (25, 20), (20, 4), (10, 28), (4, 15), (11, 17), (33, 24), (10, 21), (21, 28), (7, 9), (0, 12), (24, 25), (10, 27), (28, 8), (28, 20), (12, 10), (26, 14), (18, 6), (3, 20), (14, 19), (1, 23), (25, 24), (23, 13), (18, 28), (23, 22), (21, 13), (28, 2), (19, 27), (13, 11), (3, 7), (4, 12), (6, 7), (9, 11), (19, 20), (8, 10), (5, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 32x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 22), (26, 27), (9, 6), (30, 6), (11, 27), (23, 25), (4, 14), (29, 5), (21, 7), (23, 18), (6, 18), (5, 4), (8, 6), (8, 3), (12, 21), (19, 29), (27, 21), (2, 16), (7, 3), (28, 8), (26, 6), (29, 2), (12, 1), (9, 7), (21, 14), (22, 9), (31, 11), (31, 22), (26, 28), (30, 14), (30, 0), (0, 19), (12, 11), (6, 29), (10, 11), (31, 10), (21, 17), (10, 19), (25, 22), (30, 19), (3, 6), (14, 10), (24, 22), (27, 25), (19, 16), (20, 23), (8, 30), (20, 4), (22, 14), (8, 7), (30, 10), (26, 24), (10, 26), (16, 21), (17, 7), (1, 30), (29, 20), (8, 4), (16, 11), (27, 13), (26, 3), (14, 11), (23, 12), (10, 18), (30, 16), (14, 4), (19, 8), (7, 5), (27, 17), (8, 0), (26, 25), (7, 16), (13, 1), (7, 17), (7, 20), (18, 22), (13, 6), (28, 27), (23, 3), (13, 29), (20, 10), (7, 29), (9, 24), (0, 11), (1, 19), (5, 2), (20, 20), (8, 2), (13, 26), (11, 25), (10, 20), (10, 25), (6, 8), (17, 30), (24, 25), (6, 20), (25, 20), (12, 19), (6, 13), (30, 17), (1, 9), (11, 19), (28, 18), (31, 8), (6, 27), (28, 29), (19, 9), (8, 26), (7, 7), (28, 13), (19, 4), (28, 2), (27, 6), (11, 5), (1, 4), (11, 22), (29, 22), (22, 29), (24, 9), (7, 24), (8, 20), (29, 6), (18, 17), (10, 14), (17, 17), (20, 17), (3, 19), (3, 25), (19, 26), (16, 3), (31, 17), (20, 25), (27, 10), (20, 24), (11, 11), (23, 10), (4, 24), (31, 24), (26, 22), (13, 22), (11, 18), (19, 30), (13, 8), (12, 8), (8, 18), (28, 15), (7, 13), (25, 12), (14, 22), (21, 9), (23, 29), (9, 0), (2, 30), (21, 25), (16, 29), (3, 29), (3, 20), (21, 5), (9, 18), (25, 17), (7, 6), (21, 13), (11, 10), (9, 25), (20, 15), (21, 8), (11, 29), (12, 20), (16, 9), (18, 10), (7, 12), (18, 7), (9, 30), (0, 27), (15, 4), (26, 19), (16, 27), (10, 24), (1, 2), (20, 8), (18, 23), (6, 2), (13, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 19), (22, 29), (31, 23), (15, 20), (6, 6), (18, 18), (10, 31), (23, 23), (9, 31), (18, 6), (2, 33), (5, 12), (20, 27), (22, 16), (27, 17), (19, 16), (27, 25), (10, 4), (23, 21), (9, 9), (7, 32), (6, 26), (37, 12), (22, 33), (35, 10), (16, 32), (31, 6), (32, 25), (17, 5), (16, 24), (32, 8), (4, 13), (3, 27), (19, 8), (6, 13), (15, 32), (37, 21), (30, 22), (31, 14), (16, 26), (16, 13), (22, 15), (11, 0), (26, 21), (0, 7), (29, 13), (24, 25), (35, 21), (13, 29), (14, 1), (19, 13), (2, 22), (7, 26), (31, 30), (23, 9), (38, 14), (35, 14), (18, 16), (35, 30), (10, 0), (2, 25), (3, 8), (30, 33), (19, 33), (5, 33), (34, 1), (5, 20), (22, 1), (31, 12), (7, 22), (15, 9), (37, 29), (4, 22), (24, 17), (3, 18), (13, 0), (30, 29), (6, 0), (26, 2), (28, 32), (19, 0), (18, 15), (26, 19), (10, 13), (20, 3), (33, 4), (23, 16), (7, 10), (21, 31), (24, 21), (5, 15), (12, 6), (27, 14), (37, 9), (30, 14), (11, 14), (27, 18), (22, 9), (28, 25), (37, 14), (22, 13), (6, 22), (22, 14), (15, 30), (36, 14), (33, 29), (11, 23), (38, 28), (29, 15), (17, 22), (6, 14), (20, 31), (16, 18), (37, 0), (19, 27), (2, 0), (34, 22), (4, 8), (18, 4), (3, 7), (25, 26), (32, 12), (10, 30), (15, 22), (38, 32), (30, 18), (38, 15), (37, 19), (14, 5), (17, 16), (4, 5), (30, 2), (3, 33), (22, 27), (6, 29), (28, 8), (8, 1), (33, 23), (32, 9), (15, 13), (9, 25), (22, 25), (18, 29), (27, 10), (37, 23), (5, 13), (20, 4), (21, 11), (26, 5), (33, 19), (15, 17), (32, 0), (23, 11), (29, 23), (27, 5), (17, 7), (11, 29), (38, 17), (11, 30), (2, 19), (34, 33), (12, 16), (1, 3), (9, 21), (8, 13), (11, 12), (7, 8), (19, 15), (25, 31), (33, 16), (33, 2), (17, 24), (10, 33), (8, 28), (4, 30), (1, 29), (35, 22), (30, 26), (34, 19), (33, 11), (38, 0), (33, 3), (34, 18), (22, 26), (10, 3), (14, 10), (1, 11), (1, 16), (12, 5), (28, 12), (16, 9), (28, 30), (18, 9), (31, 5), (29, 20), (15, 16), (9, 16), (11, 5), (28, 6), (26, 12), (30, 3), (0, 20), (36, 3), (38, 24), (17, 3), (12, 7), (37, 30), (15, 1), (17, 23), (0, 3), (4, 26), (5, 8), (1, 8), (1, 28), (32, 11), (36, 13), (28, 31), (4, 28), (11, 31), (13, 22), (29, 17), (25, 15), (38, 23), (24, 3), (38, 27), (6, 9), (9, 32), (24, 29), (10, 8), (5, 26), (38, 1), (2, 17), (8, 2), (25, 24), (0, 22), (11, 13), (24, 7), (16, 21), (6, 23), (0, 10), (26, 17), (4, 1), (23, 3), (12, 13), (12, 26), (12, 24), (3, 1), (15, 2), (4, 31), (19, 26), (32, 24), (23, 19), (34, 15), (4, 33), (13, 20), (12, 9), (17, 14), (14, 21), (21, 33), (31, 32), (10, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 0), (4, 7), (13, 16), (21, 3), (11, 5), (7, 16), (21, 23), (14, 20), (3, 13), (9, 6), (32, 15), (1, 1), (2, 7), (20, 24), (4, 10), (0, 23), (10, 21), (22, 27), (23, 5), (8, 23), (28, 18), (30, 13), (14, 13), (3, 14), (17, 4), (21, 21), (3, 4), (27, 20), (12, 15), (30, 6), (14, 7), (29, 10), (29, 28), (31, 27), (3, 27), (29, 13), (29, 25), (30, 23), (6, 29), (23, 16), (9, 8), (21, 28), (3, 3), (15, 10), (30, 24), (3, 1), (15, 8), (13, 10), (21, 8), (23, 27), (24, 8), (12, 19), (26, 7), (0, 21), (8, 20), (24, 18), (12, 0), (24, 20), (6, 25), (23, 13), (26, 8), (8, 11), (32, 27), (4, 13), (23, 29), (24, 2), (22, 4), (20, 19), (6, 16), (20, 10), (3, 11), (13, 6), (5, 23), (23, 23), (17, 8), (22, 8), (18, 9), (8, 27), (0, 28), (24, 12), (6, 5), (7, 4), (17, 29), (23, 8), (13, 24), (12, 25), (12, 6), (18, 17), (0, 2), (0, 22), (18, 11), (16, 28), (30, 1), (27, 13), (26, 5), (2, 16), (4, 9), (29, 21), (14, 9), (0, 7), (19, 26), (16, 7), (13, 19), (30, 25), (24, 19), (18, 21), (0, 11), (5, 16), (7, 9), (7, 7), (23, 22), (2, 22), (9, 10), (7, 25), (15, 16), (12, 24), (7, 13), (10, 16), (1, 18), (8, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 12), (3, 10), (13, 8), (22, 35), (1, 18), (7, 29), (20, 21), (12, 23), (14, 33), (12, 18), (3, 11), (9, 30), (24, 0), (15, 4), (25, 29), (32, 34), (26, 19), (26, 13), (14, 29), (33, 28), (17, 22), (5, 25), (19, 13), (0, 24), (5, 13), (3, 14), (30, 8), (21, 3), (10, 29), (8, 26), (30, 18), (2, 17), (16, 18), (15, 29), (22, 9), (32, 24), (14, 0), (26, 4), (9, 19), (22, 3), (33, 9), (15, 20), (30, 20), (8, 5), (19, 26), (12, 25), (4, 10), (27, 30), (28, 24), (12, 35), (4, 28), (17, 10), (9, 0), (28, 22), (7, 33), (1, 13), (11, 34), (20, 2), (28, 14), (25, 24), (22, 28), (1, 12), (18, 35), (23, 12), (10, 12), (6, 32), (20, 3), (18, 7), (4, 11), (21, 20), (9, 32), (22, 21), (22, 14), (16, 14), (19, 0), (9, 25), (26, 3), (4, 21), (11, 24), (0, 11), (15, 34), (3, 24), (22, 31), (28, 30), (25, 2), (5, 27), (25, 33), (32, 28), (1, 31), (25, 1), (33, 15), (9, 31), (15, 22), (14, 23), (24, 15), (3, 28), (12, 32), (0, 21), (12, 8), (1, 26), (12, 14), (20, 23), (11, 4), (32, 18), (26, 15), (27, 16), (4, 6), (8, 1), (13, 3), (16, 32), (24, 5), (31, 21), (34, 28), (7, 6), (3, 7), (25, 9), (24, 24), (13, 17), (11, 9), (15, 23), (25, 11), (4, 2), (2, 34), (33, 4), (27, 35), (3, 34), (14, 9), (21, 25), (28, 19), (1, 32), (8, 20), (16, 35), (1, 10), (11, 26), (23, 25), (8, 7), (15, 7), (15, 14), (1, 16), (27, 14), (3, 30), (18, 4), (16, 29), (17, 11), (14, 13), (23, 2), (2, 3), (32, 1), (26, 2), (2, 21), (3, 33), (0, 23), (34, 18), (32, 20), (34, 1), (27, 25), (25, 23), (16, 1), (7, 12), (22, 12), (22, 11), (24, 29), (18, 8), (9, 23), (1, 21), (24, 30), (15, 13), (26, 11), (34, 12), (26, 35), (30, 34), (0, 3), (11, 25), (23, 7), (17, 29), (28, 4), (23, 21), (29, 11), (17, 26), (0, 20), (29, 29), (19, 7), (30, 15), (33, 14), (30, 6), (10, 32), (0, 16), (26, 6), (30, 9), (17, 24), (6, 22), (0, 28), (4, 9), (22, 13), (25, 32), (6, 27), (15, 33), (34, 33), (28, 13), (5, 6), (29, 8), (4, 24), (27, 23), (22, 24), (6, 11), (13, 20), (7, 0), (16, 7), (27, 33), (26, 30), (24, 21), (33, 0), (18, 17), (24, 23), (2, 24), (15, 30), (11, 20), (25, 17), (32, 2), (26, 10), (4, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 30x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 38), (24, 27), (9, 7), (13, 28), (16, 36), (2, 35), (1, 24), (4, 20), (24, 3), (27, 37), (16, 9), (28, 22), (18, 3), (3, 33), (1, 18), (20, 24), (21, 11), (10, 1), (22, 32), (17, 34), (20, 0), (19, 34), (26, 32), (10, 29), (28, 10), (2, 36), (3, 3), (18, 25), (17, 24), (9, 37), (7, 10), (9, 8), (19, 28), (6, 34), (28, 29), (8, 1), (3, 35), (25, 10), (25, 31), (5, 17), (10, 12), (0, 19), (27, 24), (24, 14), (15, 17), (4, 6), (18, 1), (16, 4), (10, 37), (12, 25), (2, 8), (12, 31), (25, 6), (19, 36), (26, 24), (6, 23), (0, 6), (7, 33), (21, 0), (11, 36), (2, 16), (8, 18), (18, 22), (17, 15), (7, 12), (11, 30), (6, 0), (27, 14), (23, 12), (1, 1), (22, 20), (13, 0), (6, 15), (8, 14), (0, 29), (11, 17), (16, 15), (10, 5), (27, 36), (22, 4), (22, 25), (23, 29), (10, 23), (28, 6), (6, 14), (25, 23), (0, 16), (12, 21), (12, 35), (5, 30), (22, 13), (20, 1), (14, 5), (2, 4), (5, 32), (20, 27), (0, 28), (25, 20), (10, 0), (8, 12), (20, 19), (5, 24), (2, 14), (13, 29), (25, 12), (18, 33), (12, 15), (1, 11), (17, 1), (17, 22), (3, 18), (5, 21), (0, 8), (11, 1), (23, 27), (15, 33), (27, 32), (16, 10), (6, 8), (20, 9), (24, 4), (20, 6), (15, 32), (15, 36), (26, 20), (13, 37), (11, 8), (6, 16), (24, 0), (19, 8), (11, 28), (1, 17), (17, 3), (1, 12), (4, 11), (23, 33), (23, 23), (12, 28), (28, 37), (0, 11), (29, 11), (27, 17), (26, 19), (17, 26), (26, 4), (11, 0), (24, 38), (24, 37), (25, 9), (16, 34), (10, 16), (19, 29), (7, 32), (3, 0), (5, 38), (5, 31), (3, 27), (6, 10), (16, 29), (26, 14), (9, 33), (4, 35), (8, 21), (25, 13), (23, 36), (28, 33), (23, 19), (2, 15), (14, 8), (8, 4), (5, 11), (25, 29), (5, 28), (10, 20), (24, 11), (10, 6), (11, 3), (11, 5), (15, 11), (21, 37), (9, 14), (20, 5), (4, 26), (12, 6), (13, 31), (24, 20), (15, 20), (10, 21), (8, 25), (7, 6), (1, 28), (25, 22), (1, 20), (8, 5), (13, 26), (7, 11), (18, 19), (23, 10), (14, 27), (7, 20), (7, 2), (26, 15), (19, 13), (28, 35), (12, 32), (27, 22), (23, 6), (8, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 2), (23, 34), (17, 20), (6, 3), (19, 34), (4, 21), (27, 5), (26, 6), (28, 5), (26, 32), (24, 7), (8, 8), (30, 4), (27, 18), (21, 37), (8, 9), (13, 14), (6, 0), (19, 18), (12, 32), (20, 17), (0, 2), (6, 22), (4, 18), (17, 13), (26, 0), (21, 12), (12, 28), (28, 12), (16, 31), (1, 23), (27, 4), (10, 20), (22, 24), (5, 1), (10, 11), (14, 15), (25, 34), (32, 28), (27, 17), (32, 7), (31, 11), (20, 10), (24, 4), (11, 12), (19, 0), (10, 26), (19, 1), (31, 3), (25, 10), (7, 14), (29, 5), (31, 27), (4, 4), (31, 21), (30, 5), (11, 24), (30, 6), (24, 19), (15, 19), (6, 36), (4, 11), (11, 7), (24, 1), (15, 22), (11, 19), (25, 15), (5, 6), (4, 9), (22, 20), (5, 32), (29, 8), (1, 31), (11, 13), (18, 30), (3, 31), (17, 23), (22, 22), (27, 0), (17, 30), (2, 6), (32, 13), (6, 34), (9, 1), (31, 20), (10, 24), (17, 17), (12, 24), (2, 17), (20, 6), (15, 37), (27, 11), (4, 20), (14, 17), (12, 10), (21, 34), (3, 20), (29, 33), (23, 5), (15, 16), (30, 23), (18, 2), (27, 2), (27, 35), (20, 29), (21, 14), (3, 30), (11, 25), (13, 34), (2, 31), (32, 36), (16, 17), (31, 26), (17, 21), (5, 15), (18, 21), (13, 9), (5, 4), (7, 23), (4, 31), (17, 37), (27, 26), (9, 24), (12, 25), (32, 8), (9, 6), (20, 25), (9, 4), (16, 13), (12, 37), (11, 35), (15, 24), (15, 10), (1, 3), (32, 34), (8, 11), (18, 24), (5, 10), (13, 33), (5, 34), (29, 13), (24, 28), (13, 27), (17, 18), (20, 2), (29, 21), (0, 15), (10, 31), (10, 14), (13, 32), (13, 6), (26, 4), (10, 15), (5, 13), (16, 7), (4, 23), (27, 12), (16, 15), (25, 1), (5, 12), (14, 12), (3, 2), (25, 35), (29, 15), (12, 29), (17, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 11), (10, 9), (27, 33), (22, 33), (11, 0), (5, 23), (21, 7), (15, 9), (9, 20), (12, 22), (13, 5), (18, 10), (26, 32), (4, 2), (17, 28), (27, 8), (7, 1), (4, 18), (3, 31), (19, 8), (6, 10), (14, 10), (10, 18), (10, 33), (20, 29), (0, 16), (21, 19), (31, 4), (19, 13), (25, 16), (20, 22), (9, 14), (9, 19), (30, 11), (24, 7), (2, 5), (31, 10), (18, 24), (0, 4), (26, 11), (12, 29), (22, 2), (29, 22), (5, 26), (6, 15), (13, 21), (2, 1), (0, 5), (17, 23), (12, 17), (6, 5), (22, 12), (8, 12), (22, 27), (18, 8), (4, 5), (27, 32), (19, 23), (0, 11), (31, 3), (6, 12), (6, 1), (20, 4), (20, 30), (1, 23), (7, 7), (1, 17), (31, 24), (11, 15), (27, 16), (2, 27), (20, 20), (2, 19), (16, 30), (23, 20), (24, 20), (31, 13), (17, 4), (22, 0), (20, 34), (8, 1), (14, 27), (29, 6), (6, 7), (28, 24), (3, 11), (14, 8), (1, 21), (28, 10), (10, 12), (26, 1), (29, 7), (29, 21), (8, 13), (13, 7), (5, 9), (9, 21), (2, 18), (21, 0), (31, 9), (28, 8), (23, 28), (23, 31), (8, 27), (6, 34), (24, 22), (4, 30), (27, 13), (9, 24), (7, 33), (0, 12), (2, 16), (28, 22), (24, 10), (29, 12), (15, 33), (10, 7), (10, 2), (3, 26), (2, 33), (31, 27), (30, 26), (26, 30), (10, 3), (11, 3), (17, 13), (16, 27), (13, 6), (0, 13), (10, 1), (29, 32), (3, 1), (28, 17), (15, 15), (29, 13), (23, 6), (14, 25), (15, 2), (29, 25), (11, 31), (29, 2), (28, 30), (15, 20), (9, 22), (9, 26), (20, 33), (19, 15), (18, 3), (11, 21), (21, 4), (29, 27), (12, 23), (4, 28), (19, 16), (28, 20), (30, 14), (26, 28), (20, 13), (27, 4), (21, 33), (5, 11), (23, 11), (15, 31), (2, 17), (4, 20), (8, 32), (24, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 32), (7, 8), (4, 14), (14, 23), (5, 5), (30, 10), (30, 6), (4, 5), (20, 7), (10, 19), (31, 24), (8, 2), (22, 11), (1, 12), (3, 2), (28, 26), (2, 17), (27, 12), (35, 13), (18, 2), (28, 4), (31, 0), (0, 20), (15, 22), (9, 21), (3, 18), (14, 21), (4, 29), (18, 4), (12, 25), (26, 18), (0, 8), (1, 10), (5, 0), (33, 28), (8, 13), (2, 32), (11, 22), (29, 15), (32, 15), (22, 33), (17, 12), (4, 9), (32, 32), (27, 34), (4, 25), (12, 20), (32, 21), (11, 4), (14, 31), (7, 5), (13, 8), (6, 23), (29, 21), (33, 6), (24, 6), (2, 7), (4, 7), (28, 31), (35, 32), (11, 30), (5, 4), (23, 14), (11, 16), (7, 11), (8, 34), (31, 19), (23, 17), (1, 27), (17, 21), (7, 12), (18, 20), (15, 10), (6, 22), (6, 9), (13, 23), (6, 6), (12, 21), (11, 11), (5, 34), (17, 10), (28, 17), (9, 5), (26, 10), (18, 28), (21, 24), (1, 22), (17, 19), (23, 28), (5, 8), (28, 9), (31, 26), (10, 17), (2, 9), (17, 17), (13, 9), (24, 11), (24, 7), (12, 17), (17, 26), (2, 15), (18, 22), (12, 2), (0, 4), (9, 24), (2, 22), (15, 33), (31, 25), (28, 11), (17, 30), (33, 23), (34, 27), (2, 6), (27, 2), (31, 2), (31, 15), (35, 30), (33, 14), (19, 32), (28, 23), (0, 1), (35, 20), (13, 24), (5, 14), (6, 24), (3, 1), (34, 34), (13, 6), (33, 34), (5, 25), (35, 12), (20, 28), (28, 21), (8, 6), (13, 3), (23, 31), (19, 0), (35, 23), (19, 14), (21, 26), (1, 3), (3, 29), (1, 16), (1, 19), (25, 32), (32, 27), (27, 1), (16, 10), (34, 18), (11, 15), (16, 5), (26, 23), (25, 8), (1, 9), (20, 33), (10, 7), (0, 9), (17, 16), (26, 21), (15, 25), (3, 3), (35, 21), (31, 6), (28, 13), (13, 16), (32, 5), (19, 19), (25, 6), (16, 17), (7, 4), (27, 27), (14, 33), (12, 11), (27, 30), (17, 1), (6, 19), (30, 27), (28, 2), (24, 22), (35, 7), (26, 31), (3, 27), (4, 32), (34, 22), (21, 27), (24, 21), (9, 0), (4, 28), (1, 28), (5, 9), (5, 20), (35, 17), (14, 30), (8, 5), (25, 34), (26, 25), (24, 29), (19, 1), (17, 5), (3, 26), (16, 23), (13, 21), (13, 33), (34, 5), (35, 11), (10, 15), (2, 33), (18, 7), (4, 4), (33, 27), (2, 28), (31, 14), (7, 1), (10, 13), (0, 32), (11, 3), (28, 25), (34, 26), (28, 15), (24, 8), (2, 34), (16, 9), (19, 22), (33, 19), (32, 13), (3, 16), (21, 34), (26, 3), (6, 16), (9, 4), (25, 21), (20, 22), (15, 21), (15, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 35x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 3), (20, 5), (22, 34), (30, 23), (24, 15), (3, 1), (27, 35), (4, 15), (7, 29), (5, 24), (8, 26), (32, 32), (18, 28), (18, 9), (22, 2), (19, 24), (17, 18), (31, 20), (20, 17), (21, 38), (24, 11), (16, 10), (3, 29), (33, 30), (6, 30), (24, 9), (33, 8), (21, 6), (7, 33), (8, 38), (29, 6), (25, 36), (5, 2), (24, 17), (8, 36), (1, 4), (13, 5), (32, 18), (14, 36), (21, 5), (28, 3), (34, 12), (10, 1), (16, 32), (2, 31), (26, 15), (32, 27), (29, 36), (4, 19), (16, 28), (4, 25), (22, 12), (32, 20), (1, 15), (31, 30), (31, 4), (12, 13), (33, 5), (28, 9), (4, 37), (27, 37), (25, 30), (0, 37), (2, 10), (9, 19), (9, 3), (6, 10), (23, 17), (16, 5), (33, 12), (9, 0), (28, 33), (2, 24), (33, 18), (23, 18), (4, 9), (20, 10), (9, 15), (7, 30), (19, 29), (16, 7), (22, 9), (34, 14), (16, 16), (4, 33), (26, 27), (11, 10), (5, 18), (12, 23), (30, 3), (5, 25), (31, 36), (8, 27), (23, 25), (5, 19), (19, 27), (28, 17), (1, 28), (23, 22), (7, 15), (28, 16), (25, 2), (15, 26), (31, 3), (21, 36), (17, 17), (17, 9), (22, 27), (3, 19), (2, 6), (26, 16), (6, 31), (7, 25), (17, 31), (21, 21), (15, 4), (21, 4), (18, 6), (14, 18), (3, 3), (32, 22), (30, 17), (18, 23), (7, 32), (27, 24), (34, 27), (22, 18), (21, 29), (20, 14), (27, 2), (26, 20), (0, 24), (27, 25), (26, 31), (6, 11), (8, 10), (1, 17), (20, 8), (32, 9), (27, 38), (20, 24), (0, 15), (28, 38), (31, 25), (2, 2), (25, 11), (29, 7), (20, 29), (15, 34), (11, 6), (27, 21), (13, 6), (13, 32), (26, 25), (0, 11), (13, 35), (8, 20), (27, 23), (17, 1), (14, 0), (20, 35), (8, 33), (31, 1), (34, 9), (11, 15), (27, 5), (22, 37), (2, 32), (20, 26), (28, 14), (33, 25), (31, 28), (23, 15), (15, 32), (22, 32), (30, 0), (29, 38), (26, 33), (13, 34), (10, 16), (10, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 24), (18, 13), (9, 6), (2, 12), (5, 26), (3, 17), (14, 0), (8, 22), (5, 28), (25, 1), (0, 17), (0, 20), (6, 13), (0, 8), (27, 24), (26, 0), (26, 13), (19, 21), (24, 19), (27, 25), (9, 4), (23, 14), (1, 20), (26, 22), (25, 0), (10, 21), (10, 18), (6, 30), (26, 27), (26, 4), (27, 21), (7, 29), (22, 23), (27, 4), (22, 14), (6, 9), (12, 22), (23, 1), (10, 19), (9, 30), (21, 14), (25, 7), (7, 19), (26, 23), (29, 14), (4, 13), (7, 18), (3, 0), (6, 20), (4, 19), (22, 24), (11, 2), (19, 4), (8, 0), (6, 1), (25, 6), (28, 3), (21, 9), (9, 3), (2, 0), (24, 21), (0, 21), (8, 11), (22, 9), (2, 5), (13, 16), (25, 20), (16, 10), (17, 19), (13, 4), (21, 12), (23, 5), (24, 16), (28, 0), (21, 1), (7, 20), (19, 20), (14, 11), (14, 3), (25, 25), (29, 2), (20, 2), (17, 22), (28, 24), (21, 4), (18, 9), (28, 11), (10, 7), (8, 23), (3, 19), (10, 22), (14, 13), (2, 7), (28, 8), (18, 29), (8, 30), (26, 21), (26, 11), (20, 26), (12, 13), (7, 3), (1, 27), (22, 16), (16, 14), (12, 23), (0, 6), (7, 12), (7, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 10), (0, 16), (35, 26), (15, 12), (37, 11), (30, 12), (15, 17), (9, 20), (7, 5), (12, 14), (37, 23), (16, 5), (6, 25), (11, 19), (23, 19), (5, 20), (22, 11), (35, 8), (6, 13), (16, 20), (37, 3), (3, 21), (28, 27), (10, 5), (36, 26), (34, 10), (0, 22), (14, 2), (1, 17), (10, 26), (15, 9), (5, 25), (11, 3), (24, 19), (29, 18), (26, 26), (35, 22), (29, 17), (15, 6), (5, 30), (34, 26), (18, 18), (0, 11), (2, 0), (36, 4), (36, 22), (2, 3), (12, 19), (20, 6), (8, 5), (25, 23), (32, 1), (37, 19), (8, 24), (32, 26), (27, 14), (4, 0), (36, 17), (16, 21), (13, 8), (29, 5), (10, 0), (14, 27), (37, 12), (28, 7), (18, 11), (15, 26), (32, 19), (15, 10), (8, 14), (6, 18), (3, 27), (14, 4), (6, 14), (37, 21), (26, 12), (19, 0), (25, 16), (36, 19), (36, 29), (27, 10), (27, 6), (21, 24), (22, 15), (37, 29), (35, 29), (16, 26), (8, 17), (32, 20), (12, 12), (35, 9), (24, 27), (23, 29), (15, 24), (5, 29), (28, 3), (4, 24), (4, 5), (10, 3), (30, 17), (36, 25), (15, 2), (30, 11), (32, 4), (35, 20), (27, 28), (4, 30), (24, 7), (8, 11), (13, 13), (2, 30), (6, 15), (36, 16), (8, 21), (2, 21), (3, 9), (5, 13), (37, 9), (3, 13), (20, 22), (20, 5), (20, 27), (27, 23), (10, 12), (22, 30), (12, 4), (30, 21), (8, 7), (36, 6), (18, 21), (7, 29), (29, 12), (15, 15), (4, 13), (2, 15), (13, 11), (0, 10), (29, 30), (29, 13), (5, 6), (3, 11), (16, 2), (37, 28), (23, 24), (1, 28), (32, 0), (16, 18), (37, 20), (30, 25), (4, 6), (6, 6), (31, 18), (24, 2), (34, 25), (13, 25), (10, 20), (34, 3), (34, 5), (9, 23), (15, 11), (33, 28), (7, 17), (3, 6), (12, 27), (22, 28), (31, 14), (27, 5), (6, 10), (27, 16), (14, 7), (35, 3), (17, 4), (7, 23), (23, 13), (12, 28), (18, 3), (2, 26), (19, 14), (20, 20), (4, 26), (29, 26), (14, 20), (20, 15), (2, 29), (21, 4), (23, 27), (31, 10), (20, 7), (22, 8), (20, 24), (4, 9), (33, 25), (11, 8), (0, 20), (0, 3), (3, 14), (29, 6), (26, 6), (4, 25), (31, 26), (2, 28), (36, 24), (34, 27), (16, 12), (32, 5), (19, 19), (28, 21), (33, 8), (1, 3), (12, 26), (19, 22), (4, 15), (34, 9), (16, 16), (27, 25), (6, 17), (14, 9), (35, 11), (24, 18), (25, 22), (27, 17), (21, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 34x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 25), (21, 25), (29, 6), (1, 3), (4, 5), (11, 21), (29, 23), (22, 3), (20, 20), (5, 2), (14, 28), (10, 29), (1, 21), (24, 15), (11, 9), (8, 7), (20, 15), (33, 15), (14, 12), (0, 10), (17, 16), (24, 20), (25, 7), (9, 17), (30, 27), (25, 8), (13, 20), (0, 19), (29, 22), (25, 1), (1, 8), (14, 0), (3, 3), (11, 28), (5, 15), (14, 13), (30, 15), (21, 11), (7, 5), (1, 27), (2, 14), (18, 7), (32, 27), (6, 27), (23, 25), (12, 2), (24, 18), (23, 11), (26, 6), (32, 12), (2, 22), (32, 13), (31, 23), (6, 11), (32, 21), (27, 26), (4, 13), (31, 13), (0, 23), (25, 10), (26, 23), (10, 3), (26, 0), (19, 4), (14, 25), (15, 29), (16, 23), (14, 6), (13, 17), (4, 10), (22, 27), (4, 2), (19, 10), (32, 15), (16, 20), (8, 29), (2, 9), (22, 22), (9, 28), (6, 5), (4, 16), (1, 4), (11, 23), (16, 12), (32, 16), (9, 19), (15, 12), (10, 0), (26, 5), (18, 26), (18, 1), (12, 29), (8, 13), (18, 9), (30, 14), (32, 17), (22, 20), (28, 24), (12, 19), (5, 23), (13, 6), (20, 26), (21, 22), (13, 21), (22, 29), (10, 21), (23, 5), (24, 22), (1, 29), (15, 6), (32, 26), (9, 21), (7, 15), (4, 4), (8, 25), (33, 3), (17, 5), (11, 25), (8, 28), (0, 13), (29, 11), (19, 23), (3, 9), (6, 19), (23, 2), (33, 9), (10, 11), (5, 16), (32, 9), (30, 0), (27, 2), (14, 27), (8, 8), (23, 18), (21, 26), (9, 4), (26, 14), (5, 26), (27, 9), (24, 25), (7, 6), (2, 21), (20, 12), (26, 15), (18, 2), (21, 28), (24, 0), (15, 18), (11, 4), (24, 8), (32, 11), (33, 22), (21, 18), (10, 16), (29, 17), (12, 12), (10, 7), (8, 19), (1, 6), (14, 15), (23, 9), (2, 13), (1, 17), (24, 12), (15, 0), (27, 21), (33, 12), (7, 0), (1, 24), (3, 11), (22, 1), (4, 24), (33, 10), (2, 12), (27, 24), (15, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 32), (13, 9), (24, 13), (20, 9), (22, 14), (6, 14), (1, 11), (21, 21), (31, 13), (6, 7), (25, 16), (12, 1), (18, 20), (0, 30), (8, 0), (33, 29), (0, 4), (5, 36), (33, 22), (7, 33), (34, 15), (12, 19), (34, 7), (27, 17), (30, 24), (1, 31), (3, 18), (7, 36), (31, 36), (0, 14), (7, 16), (13, 33), (31, 17), (15, 20), (19, 13), (33, 0), (3, 33), (27, 37), (19, 33), (22, 36), (16, 33), (34, 19), (33, 16), (16, 3), (33, 20), (22, 27), (6, 4), (29, 0), (1, 33), (5, 23), (1, 28), (17, 35), (1, 29), (16, 21), (19, 23), (25, 23), (24, 27), (5, 35), (12, 36), (7, 25), (28, 13), (18, 27), (33, 21), (17, 22), (8, 34), (21, 0), (0, 22), (30, 35), (8, 33), (9, 27), (0, 13), (8, 30), (16, 8), (15, 15), (27, 8), (21, 10), (25, 6), (27, 11), (4, 6), (11, 36), (24, 8), (13, 17), (32, 14), (0, 1), (28, 30), (21, 34), (3, 17), (28, 2), (1, 15), (7, 9), (8, 15), (25, 28), (7, 29), (24, 28), (12, 16), (11, 35), (7, 24), (34, 2), (9, 25), (24, 23), (22, 33), (29, 26), (1, 27), (9, 5), (10, 24), (6, 34), (17, 30), (7, 27), (3, 22), (17, 12), (23, 2), (19, 24), (34, 36), (9, 8), (33, 19), (17, 0), (3, 20), (34, 35), (9, 3), (21, 18), (8, 37), (20, 36), (17, 5), (34, 32), (33, 15), (3, 28), (30, 1), (23, 28), (31, 9), (6, 37), (15, 11), (3, 8), (9, 1), (5, 20), (11, 17), (5, 11), (5, 25), (25, 18), (2, 5), (12, 27), (9, 21), (1, 3), (3, 19), (0, 21), (3, 4), (4, 19), (13, 11), (3, 2), (16, 23), (14, 24), (6, 24), (23, 24), (24, 24), (25, 13), (15, 28), (18, 1), (9, 18), (9, 15), (31, 32), (15, 8), (8, 19), (19, 28), (33, 26), (5, 1), (2, 4), (20, 17), (11, 11), (20, 34), (4, 29), (32, 24), (3, 12), (20, 6), (22, 28), (28, 18), (29, 21), (13, 6), (33, 7), (21, 6), (29, 33), (26, 35), (32, 0), (33, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 38), (9, 4), (12, 17), (27, 3), (20, 28), (23, 10), (24, 5), (2, 9), (31, 31), (33, 6), (22, 21), (19, 1), (1, 31), (18, 1), (11, 8), (11, 31), (33, 11), (6, 31), (20, 38), (1, 5), (21, 7), (32, 11), (12, 8), (5, 5), (8, 14), (29, 34), (17, 24), (34, 15), (11, 6), (26, 34), (2, 27), (32, 15), (21, 1), (7, 15), (21, 26), (4, 11), (8, 2), (33, 27), (8, 23), (19, 13), (28, 13), (27, 21), (0, 10), (10, 17), (11, 26), (5, 7), (14, 32), (28, 31), (19, 18), (20, 7), (34, 14), (22, 17), (18, 29), (4, 19), (9, 24), (22, 23), (11, 16), (0, 31), (9, 36), (31, 3), (18, 21), (12, 36), (9, 23), (30, 12), (33, 29), (4, 37), (15, 32), (23, 23), (22, 19), (17, 25), (32, 2), (10, 14), (12, 25), (29, 1), (20, 33), (33, 30), (17, 19), (23, 5), (17, 0), (18, 5), (16, 38), (14, 4), (17, 17), (5, 33), (30, 21), (10, 15), (17, 33), (15, 31), (16, 24), (35, 16), (27, 35), (13, 37), (23, 2), (26, 13), (30, 6), (0, 22), (21, 19), (24, 38), (6, 32), (3, 37), (23, 33), (7, 8), (30, 10), (2, 8), (4, 21), (23, 22), (3, 10), (17, 7), (24, 31), (4, 18), (32, 3), (22, 38), (7, 29), (30, 7), (34, 30), (35, 23), (19, 21), (18, 16), (15, 29), (8, 8), (28, 11), (15, 30), (25, 1), (0, 16), (4, 10), (33, 4), (23, 28), (16, 17), (19, 7), (29, 13), (26, 14), (27, 12), (17, 36), (8, 9), (7, 34), (1, 15), (13, 10), (31, 27), (9, 7), (35, 21), (3, 20), (2, 11), (22, 34), (5, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 39x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 30), (21, 11), (30, 4), (1, 22), (21, 29), (33, 31), (18, 9), (20, 31), (32, 20), (28, 7), (0, 25), (38, 6), (27, 23), (33, 18), (2, 0), (15, 32), (9, 2), (11, 28), (10, 7), (7, 17), (18, 22), (3, 29), (30, 26), (21, 18), (38, 13), (2, 29), (6, 24), (15, 8), (18, 0), (12, 17), (22, 20), (26, 23), (36, 1), (30, 0), (2, 14), (31, 10), (21, 21), (8, 23), (11, 26), (10, 20), (30, 17), (2, 26), (30, 14), (32, 32), (21, 14), (25, 20), (7, 25), (18, 28), (6, 10), (24, 24), (38, 27), (28, 15), (4, 2), (34, 5), (16, 17), (34, 13), (20, 30), (4, 27), (12, 18), (9, 17), (14, 12), (16, 3), (38, 3), (37, 13), (32, 1), (31, 8), (3, 6), (17, 22), (16, 13), (23, 10), (7, 16), (0, 6), (34, 16), (14, 0), (8, 13), (15, 6), (33, 0), (17, 15), (10, 6), (14, 7), (15, 25), (1, 4), (5, 18), (16, 21), (8, 21), (6, 17), (0, 33), (7, 1), (5, 11), (19, 23), (11, 6), (2, 21), (7, 27), (12, 31), (22, 25), (36, 20), (27, 5), (19, 13), (34, 7), (25, 7), (6, 13), (4, 5), (29, 9), (31, 32), (29, 32), (7, 22), (28, 8), (1, 18), (15, 11), (20, 23), (17, 10), (14, 15), (29, 20), (0, 11), (21, 32), (29, 2), (33, 26), (7, 15), (17, 3), (16, 24), (17, 9), (17, 20), (33, 16), (36, 28), (5, 5), (16, 20), (0, 23), (2, 2), (16, 14), (28, 12), (1, 9), (8, 31), (38, 7), (2, 12), (28, 31), (4, 23), (22, 28), (1, 14), (28, 30), (25, 25), (32, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 35x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 0), (1, 6), (6, 27), (6, 14), (20, 19), (8, 35), (17, 9), (18, 26), (17, 34), (14, 30), (25, 1), (32, 8), (1, 28), (26, 15), (23, 25), (22, 23), (20, 10), (4, 25), (29, 18), (30, 7), (1, 0), (5, 25), (28, 3), (13, 33), (30, 27), (3, 2), (19, 31), (21, 17), (8, 19), (24, 5), (15, 21), (34, 18), (29, 35), (29, 31), (23, 1), (28, 32), (6, 23), (23, 10), (9, 6), (7, 21), (8, 4), (21, 13), (11, 8), (29, 24), (25, 18), (20, 33), (17, 28), (3, 23), (2, 32), (30, 26), (6, 19), (16, 9), (9, 15), (20, 30), (19, 32), (34, 34), (7, 5), (28, 14), (6, 7), (2, 15), (8, 29), (21, 1), (32, 35), (1, 30), (5, 16), (6, 25), (3, 8), (0, 15), (34, 9), (16, 27), (8, 18), (4, 35), (19, 29), (20, 25), (20, 7), (34, 7), (27, 9), (4, 2), (2, 23), (16, 23), (5, 8), (14, 23), (19, 28), (26, 6), (13, 6), (34, 11), (13, 13), (27, 21), (4, 8), (29, 23), (23, 14), (17, 23), (2, 22), (3, 1), (14, 24), (9, 8), (5, 33), (2, 9), (6, 26), (30, 16), (23, 27), (19, 19), (28, 6), (16, 6), (22, 7), (32, 22), (19, 6), (7, 24), (33, 1), (4, 22), (13, 0), (13, 11), (5, 29), (6, 20), (34, 32), (21, 33), (9, 2), (22, 22), (9, 32), (17, 15), (5, 2), (34, 16), (25, 3), (8, 32), (23, 11), (14, 32), (18, 30), (32, 20), (1, 17), (2, 1), (12, 7), (26, 2), (5, 17), (8, 14), (24, 4), (32, 3), (5, 6), (20, 28), (14, 34), (19, 12), (25, 4), (19, 9), (24, 33), (18, 31), (31, 15), (10, 16), (27, 7), (8, 8), (0, 26), (27, 15), (11, 2), (24, 7), (6, 5), (10, 20), (27, 10), (22, 31), (7, 0), (26, 18), (12, 23), (5, 34), (8, 21), (29, 21), (26, 28), (4, 7), (34, 31), (4, 15), (17, 25), (27, 6), (14, 9), (6, 12), (32, 24), (18, 14), (30, 28), (9, 33), (17, 19), (22, 25), (14, 7), (32, 13), (30, 29), (6, 21), (2, 29), (31, 10), (15, 11), (6, 34), (31, 16), (20, 5), (30, 30), (6, 15), (23, 28), (16, 28), (8, 22), (27, 32), (15, 13), (32, 6), (21, 24), (12, 15), (14, 0), (14, 28), (32, 30), (13, 21), (27, 29), (18, 11), (4, 19), (4, 6), (27, 13), (22, 2), (5, 10), (10, 26), (21, 0), (29, 27), (0, 8), (23, 3), (3, 9), (25, 21), (6, 3), (25, 23), (3, 11), (6, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 13), (14, 16), (4, 3), (14, 13), (8, 36), (5, 26), (16, 8), (6, 7), (1, 7), (32, 18), (4, 30), (0, 23), (25, 14), (10, 5), (4, 13), (9, 35), (4, 9), (14, 18), (31, 24), (22, 36), (17, 23), (1, 13), (0, 10), (2, 18), (1, 17), (21, 12), (24, 15), (2, 35), (31, 12), (11, 0), (2, 28), (33, 25), (14, 26), (13, 12), (31, 2), (10, 18), (0, 3), (22, 32), (19, 20), (32, 21), (20, 31), (7, 2), (7, 13), (0, 20), (33, 18), (24, 0), (13, 22), (32, 33), (24, 32), (31, 8), (16, 35), (22, 24), (30, 14), (1, 0), (27, 29), (6, 19), (25, 29), (29, 28), (20, 6), (13, 29), (5, 2), (13, 8), (32, 7), (30, 17), (32, 20), (32, 29), (3, 26), (19, 30), (15, 7), (33, 24), (5, 7), (27, 16), (28, 15), (4, 24), (28, 2), (14, 23), (5, 17), (6, 0), (30, 22), (6, 13), (16, 34), (32, 28), (3, 16), (17, 16), (1, 27), (13, 25), (32, 6), (0, 37), (10, 25), (22, 13), (23, 11), (20, 1), (5, 13), (4, 33), (3, 2), (4, 37), (26, 36), (30, 31), (1, 14), (16, 6), (1, 9), (29, 27), (5, 34), (30, 23), (1, 18), (26, 11), (13, 28), (7, 15), (33, 5), (8, 25), (8, 19), (19, 3), (28, 22), (30, 25), (20, 30), (20, 3), (10, 19), (0, 28), (8, 18), (8, 5), (29, 30), (20, 20), (10, 0), (28, 33), (24, 29), (20, 37), (33, 8), (12, 24), (20, 4), (17, 24), (4, 10), (12, 7), (23, 37), (32, 31), (13, 14), (2, 21), (5, 18), (24, 37), (3, 3), (10, 36), (13, 27), (8, 37), (7, 28), (26, 35), (32, 37), (1, 11), (7, 29), (20, 25), (26, 18), (18, 3), (10, 30), (33, 20), (32, 26), (18, 13), (28, 24), (9, 31), (29, 29), (3, 29), (4, 8), (7, 18), (18, 37), (31, 31), (27, 9), (22, 27), (23, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 4), (5, 22), (19, 10), (6, 37), (17, 37), (31, 23), (18, 38), (20, 25), (37, 16), (19, 37), (12, 29), (0, 36), (18, 2), (1, 19), (32, 31), (0, 7), (8, 20), (0, 22), (33, 16), (2, 14), (4, 34), (24, 18), (25, 1), (11, 12), (23, 15), (1, 27), (7, 13), (37, 27), (8, 14), (2, 5), (25, 15), (33, 0), (30, 6), (7, 25), (18, 7), (13, 38), (3, 30), (17, 8), (29, 11), (23, 22), (13, 34), (9, 18), (27, 29), (31, 9), (37, 12), (22, 19), (9, 30), (4, 29), (10, 24), (21, 10), (35, 20), (27, 16), (6, 25), (37, 18), (15, 1), (18, 32), (6, 5), (11, 19), (23, 13), (19, 23), (37, 9), (32, 3), (19, 11), (36, 38), (11, 31), (20, 21), (35, 26), (27, 12), (36, 36), (6, 11), (5, 16), (6, 6), (20, 10), (4, 19), (12, 36), (24, 10), (28, 1), (16, 20), (37, 0), (36, 3), (9, 29), (30, 31), (19, 17), (19, 16), (6, 2), (4, 13), (12, 5), (5, 2), (15, 18), (1, 2), (6, 23), (3, 10), (22, 8), (17, 24), (20, 30), (10, 2), (16, 8), (17, 32), (17, 26), (12, 33), (31, 32), (6, 14), (22, 9), (34, 19), (18, 29), (30, 15), (9, 23), (5, 25), (22, 14), (32, 13), (9, 10), (31, 33), (24, 15), (1, 34), (17, 27), (18, 18), (13, 1), (33, 5), (20, 11), (23, 23), (5, 34), (20, 20), (23, 27), (30, 1), (31, 22), (24, 22), (28, 11), (27, 9), (23, 17), (5, 32), (5, 20), (7, 38), (3, 25), (24, 4), (4, 12), (18, 21), (29, 7), (30, 30), (8, 21), (30, 36), (16, 26), (22, 28), (30, 17), (26, 6), (35, 4), (36, 24), (26, 8), (5, 36), (36, 1), (17, 22), (35, 3), (33, 31), (14, 19), (28, 5), (36, 4), (14, 1), (4, 4), (13, 31), (28, 9), (16, 33), (18, 36), (1, 31), (37, 17), (3, 38), (28, 38), (19, 34), (21, 21), (20, 27), (12, 12), (27, 11), (18, 17), (37, 26), (5, 35), (6, 15), (4, 20), (35, 5), (18, 25), (8, 0), (33, 25), (22, 15), (22, 36), (25, 14), (34, 15), (29, 26), (28, 0), (15, 10), (19, 7), (25, 25), (13, 37), (12, 25), (2, 34), (11, 13), (6, 13), (16, 17), (16, 34), (15, 11), (8, 27), (20, 1), (35, 37)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 4), (23, 27), (28, 25), (12, 16), (7, 26), (8, 16), (28, 29), (11, 15), (27, 9), (5, 3), (2, 19), (8, 27), (21, 13), (18, 20), (7, 29), (20, 26), (6, 0), (29, 17), (8, 18), (24, 28), (5, 22), (15, 30), (6, 11), (28, 26), (27, 7), (13, 22), (1, 29), (6, 1), (19, 14), (29, 19), (29, 1), (3, 1), (17, 10), (12, 17), (3, 16), (3, 5), (1, 26), (5, 17), (25, 14), (20, 15), (27, 14), (26, 28), (25, 13), (13, 5), (26, 13), (19, 21), (16, 25), (30, 18), (13, 18), (2, 16), (30, 22), (25, 17), (2, 29), (8, 2), (11, 28), (17, 11), (6, 4), (8, 13), (6, 15), (24, 24), (2, 3), (8, 5), (25, 25), (9, 16), (28, 16), (13, 20), (28, 2), (0, 14), (8, 1), (8, 12), (24, 7), (2, 0), (20, 8), (25, 23), (16, 0), (3, 23), (13, 23), (18, 4), (4, 15), (6, 18), (1, 0), (15, 2), (16, 13), (5, 25), (9, 25), (31, 27), (30, 21), (28, 22), (13, 8), (10, 26), (20, 7), (29, 18), (20, 13), (7, 11), (18, 16), (18, 6), (4, 14), (9, 8), (29, 11), (30, 5), (23, 28), (0, 12), (12, 19), (12, 15), (22, 7), (17, 30), (18, 28), (15, 12), (15, 21), (22, 9), (11, 14), (2, 23), (23, 17), (4, 2), (27, 27), (23, 10), (1, 24), (17, 3), (27, 3), (18, 10), (5, 4), (24, 25), (21, 15), (25, 8), (9, 27), (14, 22), (26, 8), (7, 7), (8, 24), (9, 14), (29, 20), (1, 1), (8, 17), (14, 25), (30, 4), (26, 25), (14, 30), (13, 4), (20, 22), (27, 28), (1, 6), (15, 8), (30, 13), (20, 3), (16, 5), (1, 23), (5, 28), (16, 9), (17, 23), (14, 29), (30, 28), (5, 20), (10, 16), (14, 1), (5, 15), (6, 8), (29, 4), (24, 18), (19, 5), (16, 26), (8, 29), (22, 1), (31, 2), (20, 1), (0, 21), (9, 22), (25, 27), (14, 28), (30, 9), (19, 26), (15, 20), (10, 15), (14, 16), (8, 15), (24, 0), (29, 14), (9, 1), (31, 29), (21, 1), (20, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 31), (35, 26), (16, 15), (0, 5), (4, 7), (23, 27), (30, 7), (14, 2), (33, 8), (9, 28), (21, 1), (1, 7), (25, 13), (15, 32), (11, 23), (20, 3), (8, 18), (12, 7), (34, 12), (17, 9), (8, 28), (1, 22), (28, 26), (8, 12), (6, 4), (11, 11), (33, 30), (17, 14), (34, 8), (9, 32), (34, 31), (16, 13), (28, 20), (22, 16), (23, 32), (27, 3), (4, 11), (4, 2), (32, 27), (22, 0), (2, 30), (33, 28), (21, 20), (30, 11), (33, 3), (11, 9), (4, 1), (20, 5), (27, 11), (18, 31), (32, 12), (23, 33), (31, 5), (24, 10), (20, 32), (19, 25), (35, 24), (26, 17), (10, 30), (2, 33), (9, 33), (15, 3), (29, 26), (3, 19), (16, 4), (30, 14), (23, 0), (15, 2), (24, 31), (6, 22), (1, 33), (31, 28), (10, 8), (18, 28), (14, 23), (22, 17), (34, 5), (2, 17), (13, 5), (33, 25), (3, 24), (9, 19), (8, 1), (11, 14), (26, 23), (29, 24), (30, 32), (19, 17), (2, 18), (8, 8), (22, 18), (30, 28), (12, 6), (34, 21), (30, 25), (3, 31), (2, 14), (8, 3), (25, 20), (9, 1), (0, 4), (12, 12), (26, 0), (10, 31), (14, 14), (27, 1), (26, 24), (1, 20), (7, 13), (13, 20), (4, 27), (26, 5), (19, 8), (17, 24), (7, 5), (31, 20), (8, 22), (5, 15), (9, 26), (16, 33), (10, 15), (27, 21), (1, 15), (26, 18), (13, 11), (24, 17), (5, 12), (6, 11), (19, 14), (11, 30), (34, 28), (20, 30), (1, 23), (18, 18), (32, 19), (35, 29), (27, 14), (22, 15), (21, 24), (35, 1), (29, 16), (23, 6), (10, 1), (2, 5), (35, 22), (20, 18), (30, 17), (20, 12), (32, 17), (6, 6), (6, 8), (35, 4), (19, 32), (15, 11), (10, 32), (35, 16), (34, 1), (15, 14), (32, 11), (23, 15), (25, 3), (32, 33), (24, 3), (5, 10), (26, 10), (7, 32), (5, 31), (11, 25), (9, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 23), (3, 28), (5, 17), (10, 24), (30, 0), (14, 1), (35, 4), (5, 35), (30, 1), (25, 27), (13, 29), (33, 22), (35, 10), (20, 14), (9, 4), (18, 12), (21, 14), (1, 7), (11, 5), (7, 31), (29, 15), (10, 19), (22, 28), (12, 25), (22, 8), (3, 11), (31, 2), (11, 25), (12, 21), (25, 22), (9, 13), (18, 24), (19, 18), (27, 27), (21, 22), (18, 6), (29, 16), (29, 4), (12, 17), (3, 22), (18, 5), (31, 18), (25, 32), (29, 19), (13, 32), (0, 9), (21, 7), (33, 29), (18, 23), (32, 13), (4, 9), (6, 2), (8, 24), (24, 25), (19, 12), (0, 21), (11, 30), (15, 16), (16, 12), (5, 13), (8, 15), (5, 15), (16, 3), (33, 17), (14, 9), (10, 17), (13, 34), (24, 31), (26, 19), (23, 25), (17, 27), (1, 29), (32, 25), (13, 18), (12, 26), (6, 3), (9, 30), (28, 14), (21, 18), (1, 35), (0, 26), (9, 20), (3, 24), (16, 19), (20, 13), (15, 0), (8, 14), (32, 30), (7, 26), (9, 26), (5, 10), (29, 20), (20, 0), (34, 20), (0, 8), (23, 10), (34, 9), (28, 21), (16, 32), (29, 1), (25, 8), (4, 32), (33, 26), (27, 12), (22, 33), (4, 33), (20, 18), (31, 13), (19, 36), (11, 31), (28, 34), (25, 25), (33, 23), (22, 36), (17, 4), (13, 21), (5, 8), (6, 34), (24, 19), (5, 22), (14, 23), (33, 16), (6, 35), (13, 2), (24, 24), (2, 2), (13, 25), (10, 25), (32, 20), (21, 12), (31, 26), (21, 11), (35, 6), (29, 12), (10, 18), (27, 7), (8, 20), (27, 24), (35, 12), (10, 2), (11, 15), (23, 3), (18, 11), (5, 36), (28, 25), (7, 15), (13, 31), (26, 10), (25, 4), (26, 20), (5, 5), (21, 19), (33, 35), (22, 25), (0, 19), (35, 20), (12, 6), (5, 7), (29, 31), (6, 31), (26, 30), (17, 30), (32, 5), (18, 33), (23, 21), (24, 5), (21, 25), (28, 5), (5, 0), (20, 9), (29, 22), (18, 2), (14, 2), (21, 21), (9, 27), (7, 11), (29, 14), (17, 9), (31, 27), (2, 15), (12, 34), (27, 21), (35, 0), (33, 27), (3, 3), (14, 34), (11, 17), (1, 8), (12, 5), (0, 36), (16, 29), (29, 17), (19, 0), (32, 12), (14, 4), (30, 29), (4, 11), (28, 3), (2, 0), (21, 16), (1, 11), (4, 28), (3, 12), (8, 6), (25, 6), (10, 22), (32, 10), (30, 20), (16, 21), (9, 16), (15, 1), (7, 3), (9, 9), (3, 30), (25, 2), (34, 0), (7, 25), (24, 17), (11, 6), (8, 35), (24, 0), (30, 9), (31, 31), (4, 22), (10, 29), (3, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 29), (7, 30), (10, 7), (26, 21), (1, 9), (17, 22), (13, 5), (18, 7), (1, 25), (14, 26), (3, 8), (26, 29), (27, 32), (13, 4), (9, 24), (10, 32), (8, 3), (1, 22), (14, 11), (16, 22), (29, 5), (2, 7), (26, 12), (28, 14), (24, 26), (21, 17), (16, 13), (1, 24), (3, 24), (19, 10), (27, 16), (7, 7), (14, 33), (8, 25), (6, 3), (10, 12), (6, 23), (13, 26), (27, 20), (0, 25), (13, 6), (10, 23), (19, 7), (18, 22), (18, 28), (4, 32), (19, 19), (17, 30), (18, 10), (14, 8), (24, 20), (29, 17), (2, 9), (27, 0), (8, 11), (25, 17), (14, 28), (4, 26), (5, 7), (24, 17), (20, 16), (14, 15), (4, 18), (2, 10), (3, 20), (21, 4), (19, 14), (19, 29), (11, 29), (6, 5), (25, 8), (10, 19), (24, 30), (6, 29), (18, 16), (9, 26), (17, 3), (27, 10), (29, 30), (24, 0), (28, 33), (19, 17), (15, 31), (7, 1), (15, 32), (18, 23), (4, 14), (0, 32), (6, 14), (15, 22), (19, 11), (28, 12), (3, 14), (11, 5), (3, 1), (16, 26), (8, 19), (24, 3), (4, 19), (6, 19), (2, 5), (26, 3), (16, 33), (20, 0), (1, 27), (29, 21), (16, 24), (27, 11), (8, 30), (7, 5), (18, 31), (10, 20), (2, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 39x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 2), (13, 34), (23, 21), (36, 10), (5, 2), (13, 27), (38, 3), (2, 13), (10, 28), (24, 12), (33, 13), (8, 26), (17, 0), (20, 22), (23, 37), (5, 7), (22, 21), (34, 22), (25, 18), (7, 29), (37, 7), (29, 21), (17, 11), (37, 20), (15, 10), (33, 33), (0, 27), (23, 24), (35, 0), (15, 13), (37, 5), (36, 32), (7, 5), (30, 10), (11, 5), (38, 29), (15, 26), (22, 10), (23, 11), (15, 5), (36, 7), (20, 30), (12, 13), (13, 26), (8, 36), (11, 22), (0, 24), (36, 17), (28, 5), (23, 13), (30, 5), (9, 18), (24, 35), (7, 9), (20, 28), (21, 3), (25, 35), (33, 29), (16, 7), (22, 14), (27, 35), (14, 16), (14, 7), (34, 24), (25, 11), (3, 26), (8, 4), (24, 29), (7, 30), (9, 17), (37, 4), (16, 8), (14, 9), (34, 8), (37, 21), (27, 10), (32, 15), (3, 9), (11, 4), (23, 1), (0, 17), (19, 13), (26, 10), (35, 13), (29, 3), (24, 36), (9, 0), (8, 11), (34, 21), (16, 26), (7, 32), (31, 27), (30, 31), (2, 31), (29, 11), (29, 26), (21, 23), (23, 22), (36, 24), (32, 14), (4, 6), (34, 25), (1, 30), (4, 12), (20, 18), (4, 7), (24, 2), (9, 28), (19, 16), (2, 7), (32, 24), (24, 20), (31, 6), (16, 30), (38, 0), (10, 13), (37, 30), (36, 1), (12, 4), (34, 27), (15, 37), (32, 32), (5, 36), (20, 32), (19, 7), (11, 8), (17, 4), (21, 8), (11, 14), (7, 11), (11, 32), (9, 5), (26, 8), (16, 11), (25, 16), (33, 5), (4, 31), (23, 25), (14, 2), (2, 3), (11, 17), (33, 9), (9, 22), (31, 28), (14, 35), (15, 33), (25, 29), (26, 9), (7, 28), (33, 20), (19, 2), (20, 25), (15, 25), (30, 16), (35, 25), (32, 26), (28, 20), (27, 0), (12, 6), (31, 23), (26, 7), (15, 34), (35, 10), (16, 13), (3, 37), (29, 0), (5, 28), (21, 9), (19, 8), (15, 9), (5, 37), (19, 34), (12, 24), (1, 22), (8, 15), (7, 13), (30, 14), (36, 6), (30, 19), (2, 15), (13, 14), (12, 15), (34, 26), (31, 0), (26, 3), (34, 3), (25, 4), (22, 25), (25, 6), (23, 16), (20, 14), (26, 26), (31, 19), (22, 9), (19, 26), (16, 27), (18, 24), (9, 37)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 28), (0, 17), (20, 31), (19, 25), (6, 22), (2, 19), (0, 2), (21, 30), (19, 9), (21, 19), (26, 16), (1, 8), (28, 18), (28, 2), (25, 10), (3, 7), (16, 25), (24, 15), (30, 16), (22, 31), (0, 5), (15, 5), (17, 13), (10, 7), (10, 26), (7, 27), (17, 19), (24, 24), (20, 19), (5, 5), (2, 18), (15, 31), (19, 1), (28, 17), (33, 4), (13, 25), (13, 21), (12, 15), (32, 11), (15, 8), (27, 30), (7, 25), (30, 26), (31, 20), (16, 16), (33, 26), (13, 10), (27, 21), (2, 8), (19, 10), (0, 13), (14, 4), (8, 30), (23, 7), (12, 11), (22, 26), (29, 1), (6, 1), (11, 17), (2, 16), (29, 7), (7, 5), (26, 19), (9, 11), (5, 10), (34, 10), (10, 8), (27, 10), (2, 28), (13, 29), (21, 31), (22, 16), (32, 0), (24, 30), (8, 31), (30, 12), (35, 11), (27, 25), (11, 16), (0, 31), (15, 13), (30, 28), (20, 4), (5, 14), (25, 21), (21, 9), (14, 1), (31, 21), (22, 12), (22, 9), (16, 6), (13, 4), (34, 22), (22, 30), (17, 24), (30, 31), (34, 12), (12, 7), (29, 17), (29, 2), (25, 19), (1, 27), (32, 18), (26, 7), (31, 19), (33, 21), (35, 29), (23, 26), (22, 24), (10, 2), (29, 19), (9, 21), (27, 5), (3, 12), (31, 12), (20, 10), (15, 29), (27, 2), (12, 29), (5, 22), (32, 2), (24, 25), (7, 6), (15, 30), (7, 22), (28, 3), (8, 18), (32, 15), (5, 7), (17, 30), (16, 19), (6, 21), (21, 16), (11, 9), (4, 29), (23, 0), (5, 21), (13, 18), (8, 7), (23, 4), (26, 30), (18, 7), (21, 8), (27, 31), (31, 16), (30, 2), (2, 21), (20, 15), (31, 17), (3, 31), (16, 5), (13, 6), (17, 31), (27, 16), (29, 28), (28, 10), (28, 27), (24, 13), (11, 0), (14, 29), (33, 20), (34, 29), (3, 23), (14, 12), (32, 21), (10, 5), (17, 12), (1, 30), (35, 14), (21, 26), (6, 10), (17, 7), (6, 0), (16, 18), (14, 9), (35, 21), (19, 7), (24, 10), (16, 9), (35, 23), (8, 20), (24, 14), (29, 13), (6, 5), (16, 27), (15, 9), (27, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 21), (5, 27), (35, 25), (29, 29), (5, 2), (21, 16), (18, 0), (0, 22), (34, 14), (29, 13), (8, 32), (24, 3), (30, 11), (13, 34), (29, 11), (10, 21), (9, 20), (23, 23), (10, 25), (18, 17), (7, 31), (3, 36), (24, 19), (13, 35), (11, 30), (7, 7), (35, 11), (10, 1), (31, 8), (11, 23), (11, 20), (11, 32), (18, 11), (26, 2), (29, 3), (29, 2), (7, 8), (2, 13), (17, 25), (12, 9), (4, 8), (14, 2), (20, 23), (30, 13), (0, 31), (8, 36), (20, 1), (29, 10), (4, 0), (3, 21), (1, 1), (27, 10), (16, 17), (16, 36), (1, 26), (29, 0), (10, 24), (11, 0), (35, 16), (26, 8), (13, 24), (18, 3), (1, 27), (24, 35), (11, 1), (14, 34), (10, 7), (22, 34), (21, 25), (11, 26), (24, 0), (8, 25), (20, 25), (30, 2), (15, 34), (16, 16), (15, 16), (25, 31), (1, 33), (33, 34), (12, 31), (1, 0), (0, 33), (31, 33), (18, 28), (28, 3), (34, 26), (23, 22), (5, 20), (18, 16), (31, 7), (6, 36), (16, 27), (16, 6), (1, 19), (0, 36), (30, 9), (21, 30), (1, 35), (27, 26), (20, 19), (9, 0), (21, 15), (0, 18), (17, 20), (10, 2), (19, 17), (13, 11), (16, 5), (23, 0), (25, 29), (26, 30), (11, 34), (35, 7), (4, 31), (12, 6), (22, 22), (5, 31), (4, 34), (26, 28), (31, 16), (25, 4), (4, 2), (29, 32), (29, 19), (16, 23), (10, 17), (21, 34), (34, 29), (7, 36), (5, 10), (25, 34), (1, 28), (22, 20), (33, 8), (27, 16), (22, 1), (6, 10), (30, 7), (29, 22), (17, 19), (2, 21), (7, 1), (11, 16), (33, 12), (1, 25), (23, 32), (34, 0), (10, 10), (3, 33), (24, 5), (33, 15), (23, 31), (1, 4), (4, 27), (27, 3), (12, 16), (8, 8), (11, 28), (15, 18), (24, 2), (16, 29), (25, 18), (21, 18), (21, 3), (11, 11), (35, 27), (4, 13), (2, 28), (9, 12), (17, 15), (6, 16), (28, 32), (27, 17), (14, 11), (19, 35), (7, 21), (7, 20), (34, 13), (3, 13), (25, 11), (0, 8), (11, 8), (30, 34), (29, 17), (24, 27), (31, 12), (31, 18), (29, 12), (11, 29), (21, 13), (23, 26), (22, 12), (14, 16), (9, 27), (10, 11), (35, 34), (26, 23), (6, 18), (19, 24), (32, 14), (0, 19), (13, 29), (19, 21), (15, 6), (16, 1), (26, 27), (14, 24), (29, 8), (26, 32), (8, 11), (20, 16), (18, 19), (23, 24), (13, 1), (31, 25), (26, 10), (12, 29), (31, 26), (14, 33), (34, 18), (6, 22), (26, 31), (14, 32), (10, 13), (13, 14), (24, 24), (24, 23), (9, 34), (24, 12), (26, 3), (3, 2), (21, 20), (16, 34), (18, 22), (9, 21), (12, 34), (10, 8), (25, 22), (7, 6), (5, 30), (7, 29), (7, 23), (0, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 30), (10, 33), (12, 25), (16, 29), (9, 11), (7, 20), (23, 25), (26, 22), (21, 24), (21, 9), (0, 33), (14, 1), (34, 15), (12, 34), (33, 23), (3, 35), (11, 14), (25, 21), (30, 22), (1, 26), (2, 12), (4, 17), (33, 27), (10, 8), (18, 24), (11, 4), (5, 8), (27, 26), (21, 3), (22, 9), (33, 4), (15, 12), (26, 15), (31, 9), (29, 9), (29, 4), (4, 13), (26, 1), (32, 11), (29, 10), (14, 19), (3, 19), (17, 29), (7, 33), (20, 19), (26, 20), (25, 28), (12, 20), (18, 25), (27, 15), (10, 6), (8, 29), (19, 21), (1, 16), (28, 4), (32, 29), (19, 16), (0, 34), (30, 13), (13, 3), (22, 12), (26, 18), (9, 8), (15, 6), (3, 8), (13, 14), (10, 18), (12, 18), (19, 30), (28, 22), (6, 35), (18, 1), (29, 16), (29, 13), (15, 27), (22, 30), (5, 2), (29, 32), (12, 11), (26, 14), (1, 1), (13, 10), (2, 34), (14, 8), (34, 34), (28, 27), (16, 7), (22, 6), (10, 10), (9, 12), (8, 0), (24, 26), (8, 33), (5, 18), (25, 17), (12, 26), (18, 3), (33, 3), (24, 5), (0, 3), (31, 2), (31, 13), (8, 32), (22, 29), (5, 23), (1, 23), (32, 6), (6, 25), (12, 1), (17, 3), (15, 25), (33, 32), (26, 29), (20, 24), (9, 30), (8, 19), (7, 16), (30, 1), (7, 8), (1, 33), (28, 29), (24, 18), (2, 28), (34, 18), (11, 25), (0, 31), (23, 15), (32, 21), (13, 13), (21, 1), (14, 20), (30, 15), (14, 33), (30, 24), (2, 20), (18, 22), (6, 2), (3, 3), (4, 21), (11, 26), (32, 23), (12, 2), (5, 35), (25, 27), (34, 8), (14, 29), (16, 35), (2, 30), (19, 19), (11, 32), (11, 2), (10, 7), (8, 10), (20, 23), (32, 16), (20, 34), (29, 15), (4, 8), (4, 30), (19, 4), (30, 9), (5, 0), (20, 27), (26, 7), (20, 18), (11, 6), (4, 0), (23, 16), (14, 22), (4, 33), (21, 4), (21, 6), (26, 21), (9, 34), (32, 24), (8, 20), (20, 30), (26, 5), (14, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 37), (0, 15), (30, 33), (14, 18), (29, 28), (12, 36), (6, 4), (2, 34), (16, 31), (35, 15), (1, 19), (10, 28), (24, 14), (23, 6), (18, 33), (25, 31), (22, 5), (27, 20), (2, 25), (3, 2), (28, 10), (11, 31), (17, 19), (32, 37), (27, 19), (24, 24), (19, 0), (7, 1), (23, 11), (8, 4), (6, 7), (31, 16), (33, 27), (28, 26), (9, 37), (32, 34), (7, 5), (31, 24), (4, 22), (20, 32), (35, 29), (27, 31), (19, 7), (33, 18), (6, 22), (5, 6), (1, 29), (1, 14), (5, 25), (11, 19), (15, 12), (14, 20), (19, 18), (29, 29), (9, 3), (29, 23), (27, 15), (19, 25), (1, 20), (21, 36), (8, 21), (18, 28), (32, 12), (34, 15), (4, 15), (18, 16), (15, 31), (10, 34), (4, 32), (26, 24), (1, 10), (2, 36), (20, 15), (6, 16), (12, 17), (2, 3), (33, 17), (16, 4), (25, 16), (2, 10), (11, 20), (17, 28), (6, 15), (6, 30), (29, 3), (12, 28), (15, 37), (30, 31), (33, 21), (12, 3), (13, 8), (3, 35), (28, 0), (17, 20), (7, 14), (21, 27), (27, 1), (11, 14), (35, 12), (14, 9), (11, 24), (0, 13), (32, 16), (1, 33), (13, 10), (3, 30), (27, 27), (35, 36), (10, 23), (34, 28), (2, 8), (5, 33), (8, 27), (14, 34), (22, 8), (28, 16), (23, 26), (19, 12), (35, 3), (27, 23), (16, 6), (3, 36), (27, 26), (18, 12), (25, 37), (31, 10), (3, 11), (13, 28), (26, 37), (10, 14), (9, 19), (21, 14), (2, 22), (25, 5), (28, 25), (35, 22), (33, 12), (35, 11), (14, 14), (20, 3), (30, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 16), (5, 21), (9, 4), (27, 25), (13, 29), (22, 9), (19, 21), (18, 8), (29, 3), (29, 19), (13, 6), (12, 17), (17, 21), (0, 2), (7, 14), (27, 19), (8, 21), (18, 14), (2, 7), (29, 26), (25, 4), (26, 21), (8, 6), (8, 23), (13, 12), (22, 24), (7, 28), (23, 10), (3, 19), (23, 11), (25, 15), (23, 12), (12, 11), (18, 28), (11, 9), (29, 20), (23, 29), (8, 0), (3, 12), (21, 26), (20, 17), (5, 28), (29, 9), (26, 23), (9, 17), (3, 20), (7, 25), (23, 23), (11, 29), (6, 15), (14, 8), (18, 25), (10, 29), (16, 9), (9, 11), (3, 1), (24, 8), (10, 22), (28, 14), (15, 12), (1, 20), (25, 13), (17, 19), (15, 4), (6, 4), (29, 4), (20, 11), (9, 28), (25, 16), (5, 16), (22, 21), (22, 2), (0, 12), (11, 6), (28, 7), (27, 13), (16, 19), (19, 5), (0, 28), (27, 15), (9, 3), (12, 22), (1, 15), (13, 24), (28, 2), (17, 1), (27, 8), (9, 0), (2, 19), (8, 1), (14, 10), (14, 11), (8, 26), (14, 2), (18, 15), (2, 29), (25, 18), (13, 10), (26, 10), (23, 4), (3, 21), (25, 12), (2, 14), (13, 15), (17, 20), (19, 2), (7, 8), (26, 29), (5, 3), (24, 20), (6, 26), (18, 10), (29, 27), (12, 9), (16, 4), (29, 8), (5, 9), (10, 1), (12, 13), (3, 27), (28, 10), (15, 11), (9, 12), (22, 26), (10, 19), (21, 0), (4, 13), (15, 3), (26, 4), (19, 22), (11, 25), (20, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 18), (26, 26), (20, 13), (32, 6), (17, 29), (18, 34), (19, 10), (24, 6), (25, 28), (3, 2), (10, 4), (11, 33), (6, 15), (28, 1), (5, 16), (21, 29), (13, 28), (9, 28), (14, 7), (4, 20), (12, 10), (6, 28), (29, 35), (29, 34), (21, 21), (16, 31), (5, 25), (12, 6), (4, 1), (0, 3), (15, 28), (30, 13), (12, 32), (18, 30), (27, 20), (5, 3), (10, 29), (11, 12), (28, 30), (31, 30), (19, 7), (1, 18), (32, 19), (26, 17), (14, 32), (2, 32), (1, 15), (15, 23), (25, 11), (7, 35), (12, 15), (20, 16), (7, 16), (0, 12), (6, 18), (12, 34), (2, 0), (6, 26), (5, 31), (25, 13), (17, 1), (21, 12), (24, 0), (29, 10), (17, 28), (16, 4), (4, 8), (2, 1), (4, 0), (0, 26), (21, 27), (27, 8), (30, 1), (27, 24), (3, 9), (23, 6), (15, 13), (15, 12), (0, 29), (14, 17), (14, 3), (26, 0), (19, 35), (28, 34), (8, 12), (13, 19), (3, 10), (14, 13), (13, 13), (31, 7), (27, 27), (5, 13), (1, 11), (8, 3), (2, 34), (4, 27), (11, 0), (19, 6), (32, 15), (19, 5), (13, 3), (30, 25), (11, 26), (4, 31), (10, 2), (2, 8), (5, 27), (12, 13), (14, 0), (2, 30), (29, 4), (20, 34), (25, 0), (28, 29), (13, 7), (19, 17), (12, 23), (7, 21), (29, 8), (27, 30), (32, 5), (0, 24), (17, 26), (18, 26), (16, 18), (19, 2), (20, 3), (29, 11), (10, 17), (9, 19), (9, 15), (23, 8), (27, 22), (25, 16), (2, 20), (7, 12), (11, 4), (22, 30), (15, 19), (22, 22), (7, 9), (28, 20), (30, 9), (8, 21), (28, 26), (21, 2), (25, 4), (1, 16), (29, 5), (28, 23), (7, 19), (30, 20), (30, 34), (23, 32), (21, 6), (23, 11), (17, 11), (18, 11), (22, 19), (25, 34), (23, 3), (25, 10), (15, 32), (31, 17), (20, 24), (16, 22), (4, 29), (28, 28), (4, 7), (32, 7), (5, 12), (4, 23), (17, 25), (27, 23), (19, 27), (19, 33), (13, 24), (9, 4), (20, 31), (11, 6), (22, 10), (14, 23), (15, 1), (10, 33), (24, 8), (4, 15), (19, 1), (26, 2), (5, 33), (18, 10), (3, 33), (15, 14), (7, 27), (14, 18), (7, 26), (3, 21), (1, 22), (16, 20), (13, 4), (1, 23), (7, 28), (17, 10), (25, 2), (30, 15), (4, 5), (28, 13), (3, 3), (2, 15), (26, 21), (31, 35), (3, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 34x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 15), (5, 2), (15, 3), (32, 19), (31, 12), (32, 28), (23, 12), (30, 17), (6, 20), (6, 8), (25, 2), (14, 27), (19, 18), (30, 31), (27, 17), (18, 17), (21, 31), (11, 25), (27, 10), (12, 17), (14, 8), (29, 3), (27, 6), (10, 26), (25, 29), (27, 9), (22, 24), (18, 21), (19, 6), (27, 23), (13, 5), (26, 23), (24, 19), (17, 15), (31, 13), (1, 13), (7, 23), (29, 0), (20, 4), (9, 14), (30, 3), (23, 29), (8, 27), (21, 17), (23, 17), (10, 0), (13, 30), (16, 18), (33, 27), (23, 21), (8, 22), (29, 29), (20, 24), (11, 5), (21, 28), (3, 1), (23, 32), (13, 8), (13, 15), (26, 31), (16, 13), (31, 24), (1, 23), (10, 18), (30, 12), (27, 20), (3, 7), (8, 20), (18, 10), (11, 6), (5, 18), (19, 10), (25, 28), (23, 16), (17, 22), (13, 6), (0, 13), (21, 25), (23, 20), (33, 9), (24, 22), (10, 27), (28, 30), (28, 8), (0, 9), (16, 26), (24, 29), (23, 31), (17, 25), (20, 14), (4, 13), (8, 26), (16, 21), (2, 17), (16, 20), (14, 14), (10, 25), (14, 29), (12, 13), (10, 4), (12, 5), (28, 25), (5, 12), (33, 30), (1, 4), (8, 3), (18, 16), (32, 29), (30, 21), (10, 5), (11, 3), (14, 13), (10, 12), (31, 29), (28, 18), (15, 8), (9, 3), (25, 15), (28, 14), (20, 15), (29, 12), (18, 15), (19, 7), (28, 11), (17, 1), (21, 7), (10, 15), (20, 25), (3, 32), (17, 0), (25, 32), (6, 10), (0, 31), (9, 12), (5, 32), (27, 8), (11, 4), (23, 23), (29, 25), (26, 5), (14, 2), (4, 22), (31, 19), (28, 2), (3, 24), (11, 17), (23, 2), (29, 7), (5, 25), (28, 29), (11, 23), (6, 28), (15, 4), (10, 28), (0, 30), (20, 26), (32, 13), (7, 28), (5, 7), (22, 21), (2, 26), (30, 32), (18, 3), (13, 9), (10, 31), (28, 7), (29, 4), (24, 8), (18, 7), (15, 2), (7, 3), (25, 26), (22, 26), (6, 7), (7, 4), (4, 0), (17, 28), (13, 3), (11, 9), (11, 29), (7, 7), (17, 17), (20, 21), (25, 5), (29, 15), (14, 18), (17, 32), (21, 2), (32, 20), (6, 4), (30, 18), (30, 7), (1, 15), (6, 31), (12, 29), (13, 14), (20, 10), (26, 29), (26, 24), (18, 22), (2, 23), (0, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 38x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 32), (26, 14), (24, 33), (10, 1), (34, 15), (1, 19), (29, 20), (21, 28), (15, 20), (29, 31), (18, 19), (36, 29), (2, 11), (10, 0), (7, 16), (28, 25), (27, 12), (34, 28), (13, 28), (27, 31), (17, 0), (21, 0), (1, 7), (35, 14), (5, 9), (12, 30), (26, 36), (37, 8), (9, 19), (33, 27), (22, 34), (25, 24), (11, 11), (34, 24), (29, 9), (4, 34), (32, 7), (15, 4), (15, 15), (9, 21), (5, 32), (20, 23), (35, 31), (26, 29), (30, 6), (37, 1), (5, 5), (11, 27), (15, 3), (11, 14), (36, 0), (23, 35), (27, 16), (12, 33), (15, 24), (18, 25), (19, 22), (10, 26), (27, 7), (18, 26), (16, 32), (31, 6), (32, 36), (2, 9), (29, 1), (32, 35), (15, 32), (23, 26), (16, 5), (15, 35), (6, 25), (28, 23), (3, 17), (8, 22), (16, 17), (17, 35), (29, 33), (14, 18), (10, 6), (1, 31), (27, 27), (10, 29), (6, 3), (9, 25), (19, 11), (22, 9), (23, 14), (28, 4), (33, 10), (2, 28), (1, 6), (30, 33), (22, 4), (9, 4), (10, 25), (24, 9), (23, 27), (10, 34), (31, 21), (21, 23), (34, 14), (14, 15), (32, 16), (5, 10), (25, 35), (16, 6), (14, 36), (27, 26), (26, 10), (36, 36), (23, 13), (25, 23), (31, 18), (31, 8), (34, 13), (22, 35), (32, 11), (35, 1), (35, 12), (27, 36), (3, 13), (37, 13), (31, 36), (34, 1), (30, 21), (11, 28), (28, 28), (11, 19), (23, 10), (4, 16), (12, 34), (33, 3), (7, 18), (32, 27), (8, 16), (23, 31), (7, 19), (21, 27), (1, 17), (28, 31), (15, 29), (21, 2), (17, 2), (14, 11), (4, 36), (24, 34), (17, 11), (12, 3), (21, 6), (31, 12), (17, 14), (11, 18), (9, 10), (23, 23), (27, 25), (8, 30), (15, 33), (4, 31), (6, 36), (14, 24), (31, 15), (2, 0), (33, 1), (35, 22), (22, 10), (25, 12), (6, 17), (19, 16), (20, 32), (31, 33), (31, 23), (22, 26), (14, 6), (19, 35), (24, 7), (8, 34), (7, 27), (4, 24), (35, 2), (10, 17), (6, 8), (36, 21), (27, 34), (1, 22), (0, 29), (8, 35), (11, 24), (2, 15), (7, 15), (22, 32), (17, 18), (16, 10), (23, 30), (21, 14), (14, 27), (25, 36), (25, 32), (9, 5), (2, 27), (17, 34), (3, 18), (29, 24), (31, 13), (23, 36), (20, 6), (4, 9), (34, 29), (0, 22), (14, 4), (34, 16), (13, 30), (24, 1), (16, 36), (19, 6), (36, 34), (18, 4), (35, 7), (6, 27), (7, 12), (33, 31), (21, 35)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 32), (31, 4), (25, 23), (31, 6), (24, 3), (9, 7), (31, 19), (34, 17), (6, 3), (3, 29), (26, 5), (7, 24), (16, 25), (20, 2), (11, 29), (16, 32), (15, 29), (15, 18), (34, 23), (17, 31), (31, 32), (18, 30), (29, 15), (17, 5), (5, 8), (24, 17), (34, 15), (24, 14), (4, 24), (13, 31), (17, 29), (19, 11), (1, 9), (25, 1), (24, 23), (30, 21), (18, 23), (5, 19), (23, 23), (22, 8), (34, 29), (6, 20), (21, 19), (3, 1), (6, 15), (5, 6), (17, 8), (19, 23), (0, 32), (21, 29), (14, 3), (12, 24), (19, 27), (34, 16), (18, 2), (27, 23), (16, 28), (28, 16), (14, 23), (32, 21), (3, 5), (15, 24), (5, 18), (5, 14), (12, 3), (4, 10), (24, 9), (21, 22), (27, 15), (15, 26), (22, 28), (4, 3), (16, 4), (18, 5), (31, 9), (14, 30), (13, 5), (10, 7), (4, 26), (2, 24), (16, 3), (13, 7), (23, 18), (10, 10), (30, 17), (2, 12), (17, 15), (30, 1), (13, 4), (22, 1), (5, 9), (24, 10), (34, 5), (32, 5), (24, 24), (16, 20), (4, 19), (27, 22), (2, 18), (28, 2), (11, 11), (33, 17), (2, 29), (32, 10), (15, 23), (23, 26), (2, 5), (33, 29), (6, 14), (29, 0), (1, 6), (14, 0), (15, 21), (20, 11), (14, 31), (2, 11), (34, 19), (30, 23), (22, 27), (31, 18), (10, 29), (10, 2), (4, 27), (25, 13), (26, 15), (7, 30), (25, 4), (9, 23), (25, 20), (22, 16), (11, 10), (11, 31), (1, 2), (27, 25), (27, 17), (8, 16), (28, 3), (20, 7), (7, 21), (13, 18), (17, 6), (10, 14), (7, 1), (27, 19), (20, 23), (18, 31), (14, 22), (29, 12), (17, 10), (15, 12), (4, 9), (15, 7), (17, 14), (7, 12), (18, 1), (26, 25), (30, 31), (15, 20), (12, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 2), (31, 20), (17, 25), (1, 22), (11, 27), (12, 17), (17, 15), (12, 8), (27, 0), (3, 23), (27, 3), (14, 7), (0, 22), (25, 4), (8, 8), (8, 16), (6, 28), (14, 17), (15, 16), (28, 28), (18, 26), (23, 28), (4, 15), (3, 24), (7, 24), (4, 29), (2, 19), (18, 28), (5, 19), (15, 11), (15, 4), (11, 8), (23, 2), (13, 27), (10, 18), (14, 22), (7, 11), (23, 7), (27, 9), (5, 29), (28, 3), (12, 27), (26, 16), (23, 23), (11, 2), (20, 27), (0, 19), (20, 25), (0, 25), (16, 27), (30, 6), (14, 20), (3, 22), (13, 23), (27, 7), (13, 21), (31, 0), (6, 3), (1, 9), (31, 21), (4, 11), (18, 10), (11, 7), (30, 13), (17, 24), (3, 7), (15, 23), (10, 3), (4, 1), (10, 5), (22, 14), (11, 6), (21, 14), (13, 10), (26, 3), (4, 21), (13, 22), (11, 29), (15, 0), (5, 10), (12, 7), (6, 14), (9, 11), (24, 4), (23, 17), (15, 18), (6, 1), (17, 17), (9, 23), (29, 16), (1, 20), (29, 14), (5, 2), (9, 1), (7, 5), (19, 16), (8, 20), (24, 8), (16, 12), (21, 15), (7, 4), (6, 20), (29, 8), (7, 3), (19, 25), (25, 2), (27, 2), (17, 18), (6, 13), (16, 15), (24, 10), (17, 14), (22, 13), (1, 2), (25, 17), (28, 24), (28, 1), (13, 8), (27, 29), (11, 18), (4, 5), (23, 13), (29, 1), (7, 18), (15, 20), (17, 27), (15, 25), (19, 8), (3, 10), (6, 0), (26, 1), (29, 26), (20, 20), (15, 3), (24, 23), (16, 24), (7, 9), (8, 5), (2, 26), (11, 11), (17, 4), (5, 3), (31, 1), (20, 29), (1, 4), (28, 20), (21, 17), (4, 24), (15, 21), (9, 21), (12, 4), (22, 27), (6, 26), (24, 19), (26, 13), (8, 21), (14, 26), (22, 17), (22, 26), (9, 18), (1, 5), (12, 18), (15, 12), (6, 5), (17, 16), (7, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 12), (25, 26), (3, 3), (23, 6), (22, 10), (20, 23), (6, 10), (26, 28), (18, 4), (33, 20), (11, 30), (21, 19), (22, 3), (14, 7), (13, 26), (0, 13), (28, 32), (18, 27), (23, 30), (20, 4), (27, 28), (28, 8), (16, 13), (6, 12), (19, 26), (16, 31), (2, 10), (12, 31), (10, 14), (1, 22), (22, 1), (27, 3), (12, 5), (14, 17), (9, 26), (6, 6), (24, 32), (6, 29), (25, 8), (21, 30), (24, 9), (25, 10), (6, 4), (20, 15), (6, 27), (16, 14), (24, 16), (13, 16), (15, 24), (6, 31), (28, 27), (27, 12), (20, 19), (23, 10), (16, 12), (16, 10), (10, 2), (5, 30), (27, 22), (27, 6), (5, 15), (28, 13), (8, 22), (20, 5), (24, 5), (18, 30), (4, 26), (31, 28), (17, 18), (17, 6), (18, 15), (9, 1), (6, 0), (5, 26), (31, 1), (11, 21), (28, 10), (12, 15), (20, 22), (3, 10), (3, 22), (9, 11), (6, 21), (21, 26), (14, 14), (33, 24), (28, 18), (32, 16), (14, 1), (13, 20), (4, 6), (26, 6), (0, 24), (6, 23), (28, 7), (24, 21), (34, 11), (11, 24), (1, 21), (34, 9), (15, 7), (30, 15), (15, 9), (25, 29), (26, 7), (15, 1), (3, 14), (7, 17), (22, 12), (24, 29), (5, 22), (10, 32), (5, 9), (12, 11), (22, 28), (28, 16), (26, 29), (24, 1), (13, 14), (22, 18), (16, 2), (19, 19), (20, 32), (29, 14), (26, 20), (2, 30), (29, 31), (22, 16), (28, 30), (15, 2), (4, 8), (29, 1), (17, 25), (16, 3), (30, 1), (7, 22), (3, 7), (3, 23), (19, 15), (1, 6), (18, 0), (4, 3), (33, 1), (33, 0), (33, 5), (29, 2), (33, 14), (32, 8), (0, 4), (1, 20), (9, 6), (9, 8), (10, 25), (16, 5), (3, 19), (9, 20), (24, 20), (29, 15), (17, 26), (19, 6), (3, 31), (34, 16), (11, 6), (5, 0), (12, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 28), (27, 0), (13, 9), (29, 0), (29, 30), (9, 9), (29, 5), (17, 23), (25, 5), (23, 23), (15, 14), (9, 23), (10, 21), (20, 24), (30, 2), (2, 27), (28, 19), (24, 20), (20, 23), (7, 2), (27, 25), (8, 0), (26, 27), (1, 19), (30, 0), (26, 22), (26, 3), (29, 25), (8, 14), (8, 3), (5, 27), (3, 0), (8, 26), (24, 24), (6, 29), (10, 19), (2, 24), (16, 24), (19, 31), (0, 12), (4, 11), (0, 6), (14, 15), (29, 26), (18, 28), (28, 31), (17, 17), (26, 10), (26, 24), (14, 20), (8, 21), (10, 14), (22, 12), (5, 5), (4, 29), (15, 30), (16, 13), (15, 9), (16, 22), (5, 18), (11, 22), (4, 3), (7, 6), (26, 25), (27, 22), (1, 6), (20, 5), (19, 22), (17, 14), (17, 18), (5, 16), (30, 6), (5, 23), (18, 10), (11, 8), (10, 13), (18, 15), (25, 14), (23, 16), (4, 5), (11, 18), (28, 10), (2, 16), (6, 1), (25, 15), (11, 14), (25, 13), (17, 2), (10, 1), (25, 2), (7, 12), (20, 20), (0, 4), (0, 1), (10, 25), (25, 16), (10, 10), (2, 30), (6, 31), (27, 29), (23, 22), (24, 27), (26, 2), (12, 12), (29, 7), (10, 24), (15, 6), (25, 30), (5, 9), (15, 4), (23, 4), (27, 21), (19, 26), (21, 19), (15, 13), (15, 7), (14, 18), (21, 0), (6, 28), (2, 1), (10, 3), (24, 30), (27, 23), (15, 12), (5, 11), (12, 20), (11, 20), (11, 15), (19, 28), (8, 11), (2, 3), (20, 16), (1, 25), (13, 19), (20, 15), (1, 10), (0, 2), (9, 3), (11, 26), (5, 28), (10, 2), (28, 15), (0, 17), (13, 8), (1, 13), (30, 11), (25, 9), (11, 9), (20, 11), (17, 8), (12, 31), (6, 24), (0, 16), (12, 21), (8, 4), (12, 9), (17, 10), (13, 6), (4, 8), (16, 16), (19, 19), (3, 6), (30, 16), (2, 26), (2, 18), (16, 6), (5, 3), (7, 23), (16, 10), (3, 2), (18, 9), (9, 22), (20, 2), (13, 30), (4, 0), (8, 20), (28, 7), (20, 26), (8, 1), (21, 15), (0, 18), (14, 29), (8, 31), (30, 19), (14, 11), (26, 17), (24, 15), (16, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 14), (8, 3), (29, 11), (8, 8), (30, 9), (10, 23), (15, 22), (21, 10), (27, 17), (19, 5), (30, 5), (25, 27), (8, 5), (0, 18), (25, 22), (16, 10), (29, 22), (19, 25), (6, 10), (2, 16), (20, 7), (8, 16), (22, 27), (8, 24), (2, 12), (19, 22), (11, 4), (9, 6), (25, 20), (20, 11), (24, 11), (7, 18), (6, 9), (21, 14), (12, 4), (18, 17), (24, 24), (23, 16), (15, 18), (28, 23), (11, 16), (28, 32), (6, 1), (5, 22), (20, 9), (4, 12), (14, 26), (12, 26), (23, 21), (7, 2), (23, 23), (18, 23), (9, 12), (24, 28), (11, 19), (2, 4), (9, 18), (14, 25), (17, 6), (28, 14), (29, 21), (8, 26), (12, 6), (8, 32), (2, 24), (17, 22), (0, 23), (2, 7), (28, 10), (4, 9), (3, 11), (6, 14), (19, 30), (23, 1), (9, 20), (19, 18), (3, 6), (30, 25), (1, 12), (18, 24), (6, 24), (14, 23), (13, 19), (0, 2), (30, 21), (0, 17), (28, 8), (3, 16), (5, 18), (5, 15), (25, 24), (0, 6), (16, 2), (22, 21), (23, 6), (1, 8), (28, 13), (9, 29), (16, 14), (0, 30), (27, 26), (17, 13), (15, 12), (17, 7), (9, 13), (6, 17), (15, 20), (22, 25), (16, 24), (9, 19), (14, 29), (13, 3), (5, 32), (14, 22), (29, 14), (26, 25), (12, 17), (2, 14), (10, 32), (21, 24), (10, 5), (5, 0), (16, 27), (17, 28), (12, 10), (6, 15), (21, 21), (29, 31), (19, 8), (7, 29), (28, 18), (24, 17), (25, 10), (17, 10), (16, 11), (15, 28), (1, 16), (8, 25), (13, 1), (1, 14), (1, 26), (9, 23), (13, 28), (10, 27), (4, 25), (24, 20), (23, 12), (18, 15), (10, 29), (4, 24), (16, 5), (20, 25), (27, 29), (24, 4), (25, 1), (10, 28), (12, 16), (27, 24), (13, 10), (6, 11), (1, 6), (20, 3), (0, 14), (22, 22), (9, 24), (11, 28), (11, 31), (17, 17), (27, 32), (8, 23), (17, 11), (2, 18), (24, 2), (0, 16), (15, 27), (19, 20), (27, 30), (22, 28), (26, 6), (6, 29), (22, 4), (26, 14), (23, 29), (4, 19), (29, 28), (9, 2), (3, 29), (14, 9), (2, 9), (3, 26), (7, 14), (29, 3), (30, 8), (22, 26), (14, 10), (29, 4), (1, 31), (12, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "In a 34x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 10), (23, 17), (29, 32), (5, 21), (31, 1), (7, 28), (15, 11), (7, 33), (14, 32), (14, 34), (10, 3), (4, 1), (23, 8), (7, 12), (30, 34), (3, 13), (13, 5), (6, 5), (0, 32), (30, 18), (13, 8), (0, 12), (11, 28), (13, 23), (33, 12), (1, 0), (24, 2), (30, 2), (21, 10), (29, 13), (20, 26), (27, 22), (19, 1), (8, 5), (31, 27), (5, 26), (7, 13), (16, 4), (9, 14), (1, 12), (19, 17), (3, 16), (15, 13), (5, 6), (30, 22), (16, 29), (15, 14), (7, 23), (11, 8), (0, 13), (23, 26), (29, 33), (2, 12), (31, 30), (13, 27), (9, 33), (21, 2), (22, 3), (14, 6), (20, 30), (17, 19), (32, 25), (18, 13), (7, 7), (1, 22), (4, 14), (25, 9), (30, 15), (2, 6), (2, 1), (13, 7), (20, 0), (4, 22), (13, 10), (14, 16), (29, 12), (31, 24), (16, 12), (15, 27), (16, 7), (16, 33), (4, 18), (2, 32), (21, 1), (17, 6), (3, 15), (24, 5), (26, 19), (13, 20), (32, 15), (32, 28), (30, 3), (23, 27), (16, 5), (12, 1), (32, 8), (16, 10), (33, 5), (19, 5), (8, 32), (9, 18), (29, 10), (24, 7), (21, 26), (1, 1), (21, 25), (28, 27), (10, 27), (0, 6), (33, 22), (33, 27), (5, 16), (28, 30), (11, 0), (26, 15), (33, 32), (31, 10), (31, 5), (21, 19), (5, 12), (10, 31), (29, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 36), (14, 12), (20, 21), (2, 20), (4, 16), (14, 22), (18, 2), (30, 13), (15, 11), (22, 17), (4, 7), (14, 13), (16, 36), (21, 35), (14, 32), (6, 15), (1, 11), (21, 22), (10, 17), (28, 32), (24, 35), (3, 7), (16, 0), (29, 11), (12, 22), (27, 28), (26, 9), (13, 20), (25, 33), (13, 36), (15, 15), (16, 35), (22, 1), (25, 13), (29, 2), (20, 22), (23, 9), (28, 34), (19, 31), (1, 20), (19, 18), (22, 20), (2, 1), (24, 8), (8, 26), (21, 11), (6, 8), (7, 23), (2, 13), (16, 29), (10, 29), (14, 26), (9, 36), (27, 2), (30, 21), (30, 15), (5, 21), (7, 29), (3, 25), (26, 14), (17, 31), (8, 25), (6, 32), (29, 37), (10, 36), (26, 17), (11, 37), (22, 0), (29, 32), (4, 0), (0, 19), (19, 27), (9, 32), (23, 8), (18, 37), (22, 31), (9, 30), (16, 24), (13, 18), (10, 24), (0, 25), (14, 14), (5, 12), (24, 0), (24, 19), (14, 25), (18, 11), (25, 32), (14, 2), (6, 4), (8, 29), (21, 31), (30, 19), (25, 19), (27, 13), (16, 32), (21, 25), (15, 30), (21, 23), (2, 23), (6, 36), (18, 5), (6, 26), (18, 21), (0, 28), (4, 19), (20, 37), (25, 2), (5, 13), (13, 37), (9, 5), (24, 25), (29, 17), (5, 31), (28, 7), (19, 17), (18, 17), (22, 2), (3, 20), (10, 35), (7, 20), (13, 10), (21, 14), (8, 7), (6, 12), (2, 6), (30, 0), (29, 35), (25, 20), (21, 12), (7, 25), (18, 18), (12, 8), (15, 19), (4, 13), (0, 24), (26, 4), (28, 31), (0, 26), (8, 13), (0, 29), (7, 37), (5, 25), (26, 11), (27, 24), (30, 26), (17, 28), (11, 15), (8, 20), (29, 9), (22, 32), (22, 12), (23, 14), (14, 23), (27, 23), (25, 11), (7, 36), (6, 24), (29, 3), (15, 17), (4, 34), (21, 10), (22, 24), (3, 33), (22, 27), (11, 14), (15, 28), (10, 25), (5, 0), (0, 4), (14, 29), (11, 7), (1, 25), (27, 8), (21, 18), (19, 32), (4, 27), (24, 2), (2, 11), (12, 1), (5, 5), (15, 10), (21, 33), (20, 24), (23, 33), (25, 29), (2, 3), (14, 11), (7, 21), (9, 35), (18, 35), (9, 37), (22, 29), (22, 23), (24, 18), (27, 15), (27, 12), (28, 16), (19, 37), (2, 10), (18, 29), (12, 18), (16, 34), (9, 23), (16, 15), (14, 7), (0, 32), (16, 23), (23, 11), (17, 6), (0, 30), (11, 33), (9, 28), (16, 5), (12, 6), (11, 10), (9, 7), (4, 5), (3, 4), (13, 12), (1, 16), (4, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 31), (3, 37), (23, 9), (25, 1), (22, 30), (37, 27), (2, 27), (1, 17), (23, 27), (5, 16), (8, 29), (18, 24), (7, 21), (16, 17), (29, 32), (35, 30), (21, 19), (34, 4), (36, 24), (6, 37), (24, 17), (21, 31), (35, 21), (16, 33), (33, 14), (7, 5), (32, 12), (21, 4), (16, 12), (36, 20), (25, 13), (15, 33), (36, 19), (23, 28), (5, 7), (28, 21), (1, 35), (11, 25), (4, 20), (24, 7), (35, 29), (25, 7), (23, 1), (7, 20), (10, 35), (5, 24), (5, 17), (9, 11), (20, 9), (16, 23), (29, 6), (20, 6), (37, 32), (22, 7), (33, 21), (22, 25), (13, 8), (29, 37), (6, 13), (33, 37), (7, 6), (14, 10), (9, 34), (18, 8), (20, 33), (1, 8), (37, 21), (33, 34), (18, 11), (13, 26), (4, 10), (11, 6), (22, 33), (15, 18), (34, 30), (32, 7), (28, 8), (25, 9), (24, 24), (1, 4), (30, 22), (6, 14), (18, 12), (19, 24), (13, 1), (30, 17), (25, 35), (4, 11), (18, 5), (36, 33), (13, 28), (11, 16), (18, 33), (2, 23), (10, 15), (16, 22), (17, 17), (13, 29), (10, 25), (27, 20), (16, 7), (35, 3), (33, 7), (29, 4), (3, 1), (2, 28), (26, 17), (6, 32), (2, 15), (18, 28), (29, 17), (5, 33), (14, 30), (0, 30), (6, 34), (4, 31), (19, 32), (31, 3), (22, 21), (37, 11), (18, 9), (21, 30), (3, 5), (6, 27), (6, 18), (31, 12), (3, 22), (1, 6), (15, 24), (37, 3), (15, 34), (35, 26), (29, 8), (5, 29), (18, 20), (21, 32), (23, 22), (22, 1), (1, 11), (30, 19), (7, 8), (23, 19), (28, 5), (10, 19), (15, 21), (14, 28), (5, 13), (11, 21), (26, 35), (14, 22), (17, 7), (18, 3), (36, 23), (0, 35), (22, 11), (10, 33), (8, 35), (29, 21), (32, 11), (18, 37), (24, 22), (5, 5), (18, 10), (26, 27), (22, 31), (0, 36), (2, 1), (35, 5), (13, 15), (23, 35), (26, 22), (7, 27), (7, 15), (33, 25), (34, 35), (35, 11), (36, 7), (9, 15), (5, 32), (4, 1), (22, 15), (10, 34), (23, 4), (0, 27), (15, 11), (9, 13), (10, 12), (20, 26), (21, 29), (14, 21), (6, 6), (7, 24), (30, 35), (20, 10), (14, 27), (11, 12), (19, 33), (34, 15), (3, 7), (4, 23), (12, 23), (1, 15), (24, 6), (18, 13), (15, 31), (5, 31), (4, 14), (11, 22), (3, 35), (19, 8), (23, 26), (8, 18), (2, 21), (27, 3), (0, 20), (0, 28), (7, 30), (31, 35), (6, 7), (32, 20), (30, 27), (20, 28), (37, 36), (27, 4), (35, 34), (15, 8), (9, 3), (6, 2), (9, 30), (24, 33), (33, 32), (31, 15), (20, 30), (4, 17), (20, 7), (19, 31), (2, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 3), (24, 14), (8, 29), (7, 24), (3, 21), (10, 29), (3, 19), (10, 3), (33, 8), (14, 18), (13, 16), (7, 11), (13, 7), (11, 29), (29, 1), (12, 10), (16, 22), (28, 0), (2, 6), (32, 9), (3, 3), (25, 5), (36, 8), (11, 22), (31, 20), (5, 19), (14, 0), (19, 24), (29, 13), (36, 12), (15, 18), (11, 28), (14, 27), (29, 6), (23, 28), (10, 25), (18, 16), (0, 21), (12, 7), (22, 4), (6, 19), (15, 7), (7, 16), (30, 2), (25, 30), (11, 12), (27, 19), (5, 20), (22, 2), (3, 25), (30, 27), (34, 18), (3, 31), (11, 24), (36, 5), (14, 13), (2, 20), (35, 1), (29, 31), (22, 29), (22, 6), (4, 29), (5, 13), (24, 25), (10, 8), (35, 30), (1, 2), (26, 29), (24, 2), (8, 27), (7, 21), (25, 15), (5, 12), (28, 17), (13, 24), (34, 26), (25, 25), (30, 11), (6, 14), (16, 19), (6, 24), (14, 21), (22, 18), (8, 13), (7, 31), (10, 20), (14, 20), (2, 5), (24, 22), (15, 5), (23, 19), (13, 27), (15, 17), (12, 18), (17, 27), (7, 17), (27, 23), (18, 4), (11, 15), (25, 23), (16, 1), (24, 21), (13, 13), (30, 20), (20, 12), (2, 29), (10, 13), (17, 10), (28, 29), (6, 7), (23, 9), (28, 31), (5, 18), (19, 14), (23, 6), (25, 31), (6, 11), (4, 28), (8, 11), (20, 15), (32, 0), (19, 15), (33, 27), (36, 0), (8, 12), (18, 9), (6, 23), (32, 4), (12, 30), (11, 0), (22, 10), (4, 19), (23, 31), (11, 23), (12, 20), (19, 27), (14, 9), (10, 12), (29, 21), (4, 24), (18, 22), (9, 25), (1, 14), (5, 28), (8, 18), (9, 19), (14, 1), (4, 30), (28, 28), (33, 10), (0, 16), (23, 12), (26, 1), (7, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 32), (27, 29), (1, 2), (19, 14), (15, 22), (8, 33), (11, 6), (30, 2), (13, 18), (16, 4), (11, 15), (6, 12), (14, 11), (29, 23), (2, 16), (4, 1), (26, 26), (14, 18), (3, 3), (23, 22), (8, 16), (9, 27), (7, 35), (22, 22), (18, 17), (14, 4), (27, 17), (31, 7), (31, 6), (21, 7), (2, 34), (17, 28), (13, 5), (20, 31), (11, 27), (4, 21), (6, 8), (16, 22), (25, 17), (24, 9), (30, 6), (10, 12), (7, 3), (15, 4), (26, 10), (14, 32), (5, 28), (22, 24), (13, 1), (29, 19), (21, 1), (17, 10), (31, 11), (15, 3), (29, 30), (30, 9), (3, 33), (11, 34), (28, 20), (19, 6), (28, 6), (21, 5), (18, 18), (3, 5), (12, 32), (9, 21), (17, 32), (23, 8), (21, 30), (22, 11), (5, 0), (19, 18), (19, 29), (23, 2), (17, 31), (18, 13), (24, 19), (21, 29), (6, 23), (22, 20), (2, 22), (9, 14), (28, 1), (20, 12), (0, 11), (0, 18), (1, 33), (15, 13), (3, 9), (7, 27), (16, 31), (28, 25), (20, 3), (9, 1), (7, 23), (22, 26), (25, 25), (30, 10), (26, 13), (22, 13), (14, 16), (8, 6), (22, 14), (21, 19), (26, 3), (2, 23), (27, 3), (1, 28), (28, 23), (18, 25), (16, 7), (30, 16), (28, 17), (28, 4), (26, 33), (14, 26), (21, 17), (14, 9), (9, 0), (6, 14), (14, 25), (9, 18), (18, 0), (6, 25), (5, 9), (24, 18), (21, 13), (8, 4), (25, 2), (15, 26), (16, 35), (3, 30), (30, 14), (31, 23), (9, 29), (1, 22), (3, 29), (17, 29), (23, 14), (13, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 7), (3, 7), (22, 28), (2, 14), (21, 21), (22, 5), (25, 18), (30, 17), (14, 14), (19, 21), (24, 26), (27, 14), (10, 0), (25, 19), (13, 15), (25, 21), (3, 9), (6, 24), (8, 20), (23, 1), (20, 7), (24, 23), (6, 26), (15, 16), (28, 26), (1, 23), (15, 1), (24, 28), (5, 7), (14, 7), (25, 12), (24, 12), (10, 15), (1, 25), (17, 25), (6, 23), (16, 4), (2, 10), (1, 2), (2, 30), (15, 0), (14, 18), (23, 8), (2, 17), (16, 14), (30, 9), (29, 20), (17, 12), (19, 1), (17, 3), (14, 4), (5, 21), (16, 29), (13, 5), (15, 6), (6, 22), (16, 7), (0, 22), (5, 30), (12, 2), (6, 27), (2, 20), (0, 25), (21, 6), (9, 14), (17, 11), (3, 28), (13, 3), (0, 10), (21, 26), (4, 22), (24, 4), (21, 17), (21, 5), (13, 21), (2, 23), (23, 9), (13, 27), (17, 14), (11, 0), (22, 26), (11, 14), (16, 19), (21, 20), (12, 1), (2, 18), (7, 19), (9, 28), (30, 3), (8, 16), (30, 8), (27, 11), (8, 2), (3, 27), (30, 2), (9, 0), (26, 0), (11, 10), (2, 2), (1, 0), (0, 27), (17, 1), (10, 26), (18, 15), (13, 13), (18, 8), (5, 19), (1, 28), (25, 24), (20, 12), (1, 6), (22, 23), (19, 11), (11, 7), (4, 11), (22, 19), (6, 15), (13, 29), (18, 27), (7, 23), (12, 19), (21, 30), (26, 7), (8, 19), (29, 16), (27, 3), (21, 1), (21, 8), (5, 1), (19, 27), (8, 5), (21, 15), (20, 9), (3, 11), (0, 15), (14, 20), (29, 9), (7, 28), (2, 19), (4, 10), (4, 0), (3, 26), (24, 7), (3, 19), (8, 29), (12, 13), (5, 18), (13, 4), (11, 30), (15, 28), (22, 9), (19, 30), (16, 24), (23, 24), (14, 17), (20, 21), (2, 1), (20, 6), (30, 4), (20, 16), (12, 21), (9, 23), (26, 4), (1, 30), (19, 14), (15, 7), (4, 29), (6, 18), (6, 6), (7, 27), (9, 26), (1, 4), (12, 10), (9, 5), (5, 13), (20, 13), (14, 0), (19, 12), (29, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 13), (13, 4), (3, 5), (29, 14), (19, 16), (6, 27), (15, 12), (6, 14), (29, 11), (8, 22), (7, 5), (5, 28), (32, 7), (4, 31), (12, 19), (3, 2), (32, 15), (22, 3), (7, 18), (29, 29), (14, 22), (16, 1), (5, 19), (30, 26), (23, 31), (27, 17), (12, 7), (7, 27), (1, 31), (23, 17), (17, 22), (3, 29), (9, 17), (16, 4), (22, 24), (18, 24), (30, 4), (16, 31), (32, 30), (18, 15), (26, 29), (8, 17), (6, 3), (6, 5), (32, 28), (10, 6), (30, 30), (8, 1), (26, 11), (15, 14), (10, 1), (27, 28), (4, 9), (29, 6), (31, 4), (25, 4), (19, 6), (20, 26), (31, 11), (3, 22), (8, 26), (23, 20), (7, 13), (6, 23), (0, 27), (28, 23), (27, 21), (7, 10), (2, 19), (5, 27), (8, 20), (21, 27), (32, 21), (4, 5), (14, 15), (31, 2), (30, 13), (18, 16), (7, 30), (5, 11), (14, 4), (14, 31), (30, 12), (14, 25), (23, 0), (24, 30), (6, 20), (16, 5), (20, 22), (15, 18), (15, 2), (10, 25), (29, 3), (4, 27), (11, 21), (9, 13), (16, 21), (17, 21), (19, 30), (16, 23), (4, 28), (11, 25), (12, 16), (16, 10), (28, 28), (9, 18), (4, 26), (20, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 36x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 15), (17, 34), (9, 15), (2, 35), (14, 33), (32, 14), (25, 13), (32, 20), (23, 23), (12, 33), (34, 6), (0, 28), (34, 21), (20, 10), (19, 16), (33, 13), (14, 36), (31, 3), (10, 18), (35, 10), (12, 12), (24, 16), (7, 30), (31, 29), (24, 29), (24, 33), (27, 11), (23, 32), (25, 2), (6, 18), (12, 20), (1, 12), (8, 20), (0, 9), (30, 28), (7, 10), (10, 5), (17, 20), (4, 36), (7, 7), (5, 24), (5, 7), (4, 9), (20, 26), (12, 10), (24, 2), (17, 23), (20, 4), (5, 5), (7, 27), (34, 5), (25, 27), (7, 12), (11, 26), (25, 18), (2, 29), (13, 21), (23, 24), (32, 33), (15, 35), (14, 3), (35, 7), (10, 34), (27, 32), (15, 29), (30, 24), (19, 26), (29, 7), (9, 35), (22, 29), (20, 11), (10, 9), (18, 36), (26, 11), (30, 20), (10, 14), (25, 30), (5, 26), (13, 25), (21, 29), (28, 4), (32, 0), (14, 13), (7, 8), (35, 3), (11, 5), (1, 28), (26, 3), (18, 18), (4, 3), (25, 26), (22, 8), (31, 25), (26, 8), (25, 14), (32, 2), (35, 17), (20, 2), (21, 0), (16, 14), (28, 7), (4, 34), (3, 15), (35, 13), (25, 12), (7, 20), (13, 22), (19, 10), (34, 12), (32, 10), (12, 35), (1, 17), (33, 11), (16, 35), (21, 12), (32, 24), (7, 25), (22, 30), (29, 3), (2, 15), (8, 15), (1, 6), (16, 20), (31, 36), (1, 27), (21, 10), (3, 25), (33, 24), (6, 13), (7, 26), (16, 12), (13, 31), (33, 23), (26, 16), (1, 10), (24, 31), (26, 18), (24, 1), (12, 8), (35, 8), (7, 13), (17, 1), (14, 23), (32, 19), (19, 30), (25, 1), (32, 30), (34, 8), (19, 11), (30, 27), (6, 33), (31, 32), (10, 33), (35, 33), (3, 28), (30, 31), (31, 5), (18, 31), (17, 26), (20, 32), (8, 18), (5, 11), (3, 24), (33, 16), (12, 22), (22, 27), (1, 3), (15, 21), (15, 13), (32, 34), (31, 23), (0, 1), (13, 17), (31, 8), (25, 9), (32, 35), (5, 33), (8, 14), (11, 3), (5, 34), (31, 17), (33, 30), (31, 28), (12, 21), (24, 28), (11, 12), (9, 26), (9, 28), (20, 19), (35, 1), (11, 7), (15, 26), (3, 14), (9, 14), (7, 0), (9, 25), (18, 3), (21, 34), (22, 3), (6, 23), (11, 22), (28, 25), (35, 14), (10, 24), (32, 36), (28, 1), (7, 34), (12, 29), (19, 8), (29, 5), (7, 1), (19, 19), (9, 33), (14, 20), (15, 30), (23, 11), (16, 30), (0, 33), (8, 23), (31, 26), (3, 18), (10, 25), (17, 13), (29, 17), (11, 10), (20, 27), (31, 27), (34, 34), (5, 4), (27, 36), (0, 20), (26, 25), (25, 31), (1, 4), (5, 36), (26, 31), (16, 16), (4, 13), (34, 36), (2, 19), (11, 14), (25, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 30x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 27), (20, 9), (9, 28), (7, 15), (2, 10), (2, 3), (19, 21), (2, 31), (18, 0), (23, 10), (25, 27), (22, 20), (20, 3), (18, 5), (6, 20), (9, 17), (14, 30), (1, 18), (25, 20), (28, 10), (26, 7), (9, 29), (21, 28), (24, 21), (0, 13), (1, 5), (18, 17), (10, 31), (6, 17), (17, 18), (7, 21), (22, 0), (21, 29), (26, 5), (10, 26), (3, 29), (16, 7), (25, 14), (11, 4), (21, 10), (28, 18), (11, 29), (25, 21), (5, 31), (1, 19), (19, 11), (20, 25), (20, 10), (18, 25), (3, 16), (14, 9), (15, 0), (28, 27), (18, 14), (2, 30), (25, 18), (5, 30), (7, 12), (26, 0), (26, 12), (2, 5), (22, 2), (7, 10), (29, 27), (1, 1), (8, 14), (14, 24), (15, 18), (2, 26), (13, 18), (9, 0), (29, 2), (22, 17), (4, 26), (12, 26), (19, 1), (27, 13), (11, 28), (0, 9), (13, 6), (1, 29), (10, 6), (2, 6), (29, 30), (2, 18), (23, 30), (3, 0), (23, 22), (13, 10), (6, 13), (16, 1), (20, 18), (4, 15), (8, 31), (18, 19), (12, 6), (23, 13), (11, 2), (29, 7), (20, 5), (9, 9), (4, 29), (26, 22), (5, 25), (5, 9), (9, 31), (13, 8), (9, 5), (16, 11), (13, 16), (3, 30), (8, 25), (7, 7), (14, 13), (13, 21), (17, 12), (1, 17), (4, 12), (15, 1), (20, 16), (6, 11), (29, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 8), (11, 15), (19, 12), (22, 27), (20, 17), (34, 3), (23, 26), (30, 10), (8, 5), (21, 7), (12, 24), (11, 2), (21, 8), (0, 33), (32, 0), (15, 31), (17, 11), (12, 0), (14, 26), (6, 13), (34, 0), (12, 13), (23, 10), (14, 4), (9, 13), (3, 26), (17, 28), (23, 22), (13, 20), (25, 32), (8, 7), (13, 11), (24, 28), (32, 2), (2, 12), (31, 1), (28, 7), (25, 5), (30, 14), (7, 1), (17, 21), (17, 26), (32, 23), (8, 26), (29, 27), (17, 1), (11, 29), (25, 21), (19, 9), (25, 29), (23, 25), (4, 19), (6, 29), (11, 18), (6, 9), (9, 3), (30, 17), (5, 11), (35, 12), (0, 34), (26, 30), (25, 30), (8, 34), (34, 17), (12, 10), (12, 6), (13, 7), (28, 13), (12, 20), (9, 9), (29, 32), (5, 14), (28, 29), (5, 32), (5, 22), (8, 33), (28, 5), (13, 1), (4, 17), (1, 13), (23, 7), (23, 11), (8, 16), (23, 15), (7, 15), (17, 10), (14, 29), (10, 19), (35, 27), (15, 0), (6, 10), (26, 16), (28, 10), (9, 30), (5, 13), (30, 8), (18, 30), (23, 28), (14, 31), (6, 1), (32, 21), (26, 34), (33, 10), (34, 18), (3, 21), (30, 0), (27, 30), (16, 29), (22, 14), (23, 19), (13, 31), (31, 15), (20, 19), (19, 17), (8, 27), (1, 9), (21, 4), (6, 28), (27, 32), (11, 16), (4, 12), (29, 9), (1, 5), (26, 27), (25, 10), (7, 12), (35, 0), (6, 16), (10, 32), (12, 3), (1, 26), (19, 33), (13, 9), (16, 0), (10, 22), (11, 8), (5, 34), (6, 18), (32, 25), (10, 0), (7, 0), (26, 9), (15, 9), (3, 30), (17, 3), (26, 33), (22, 4), (2, 18), (26, 20), (1, 20), (18, 14), (6, 34), (22, 12), (8, 0), (26, 32), (2, 23), (23, 17), (9, 12), (7, 9), (13, 32), (0, 31), (9, 28), (34, 5), (28, 8), (3, 5), (25, 25), (22, 3), (19, 26), (29, 30), (13, 33), (35, 23), (31, 16), (8, 6), (22, 19), (1, 18), (22, 23), (23, 14), (21, 34), (25, 9), (25, 16), (14, 9), (19, 19), (28, 15), (9, 17), (24, 0), (2, 34), (1, 30), (4, 29), (20, 11), (20, 8), (1, 28), (32, 15), (10, 34), (4, 32), (14, 23), (12, 19), (34, 7), (4, 33), (25, 11), (5, 33), (16, 1), (6, 2), (28, 18), (6, 4), (9, 24), (6, 31), (26, 19), (6, 8), (22, 11), (10, 10), (8, 13), (16, 6), (15, 15), (8, 19), (19, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 27), (16, 19), (24, 12), (4, 16), (5, 8), (17, 29), (2, 23), (6, 18), (3, 2), (26, 0), (10, 21), (7, 28), (24, 26), (1, 20), (13, 21), (6, 21), (11, 7), (2, 5), (27, 30), (20, 30), (11, 25), (2, 0), (20, 11), (23, 23), (6, 0), (4, 17), (14, 17), (19, 30), (26, 7), (6, 10), (17, 19), (23, 4), (24, 6), (2, 27), (5, 13), (14, 4), (23, 1), (7, 17), (24, 29), (10, 18), (9, 9), (19, 4), (25, 3), (13, 6), (20, 13), (3, 12), (26, 6), (16, 25), (18, 11), (14, 16), (25, 16), (13, 4), (16, 12), (23, 25), (17, 23), (5, 7), (3, 0), (20, 16), (4, 20), (5, 24), (27, 12), (1, 28), (25, 26), (3, 14), (6, 13), (13, 12), (11, 13), (17, 30), (9, 28), (21, 20), (8, 5), (27, 6), (1, 19), (20, 4), (8, 1), (7, 20), (16, 7), (8, 24), (2, 11), (18, 10), (29, 20), (19, 6), (21, 14), (0, 26), (26, 10), (26, 30), (20, 19), (24, 30), (18, 16), (1, 5), (12, 8), (7, 29), (6, 28), (11, 0), (26, 8), (5, 3), (7, 24), (16, 13), (8, 12), (15, 21), (4, 27), (11, 19), (7, 4), (19, 10), (14, 19), (21, 9), (17, 13), (19, 26), (6, 2), (3, 6), (13, 1), (11, 3), (24, 18), (23, 28), (25, 14), (29, 7), (4, 11), (23, 12), (21, 1), (23, 26), (4, 7), (28, 24), (29, 28), (27, 25), (12, 28), (16, 11), (2, 13), (29, 17), (25, 10), (4, 29), (22, 30), (15, 8), (10, 0), (3, 22), (19, 25), (2, 2), (1, 21), (19, 23), (10, 14), (2, 25), (3, 21), (4, 26), (26, 11), (6, 14), (14, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 23), (13, 29), (27, 20), (9, 17), (12, 31), (7, 34), (22, 14), (26, 24), (12, 26), (15, 12), (29, 19), (3, 26), (27, 3), (12, 13), (30, 14), (14, 0), (20, 33), (29, 30), (9, 1), (30, 10), (17, 24), (23, 7), (30, 13), (15, 11), (14, 11), (8, 25), (18, 26), (17, 12), (29, 15), (25, 2), (27, 1), (7, 10), (26, 10), (11, 11), (10, 22), (17, 21), (14, 23), (18, 27), (11, 4), (12, 24), (17, 33), (13, 6), (2, 29), (10, 8), (28, 21), (13, 12), (24, 6), (6, 30), (15, 30), (18, 12), (4, 31), (28, 26), (20, 31), (12, 16), (2, 7), (0, 14), (19, 22), (14, 20), (12, 11), (29, 23), (7, 18), (17, 3), (26, 27), (26, 20), (3, 29), (23, 29), (15, 23), (26, 23), (20, 29), (11, 12), (24, 8), (8, 4), (12, 30), (6, 21), (8, 24), (5, 16), (22, 11), (16, 33), (2, 22), (14, 10), (3, 32), (7, 26), (28, 0), (5, 31), (10, 3), (11, 31), (18, 20), (30, 18), (28, 31), (7, 16), (8, 10), (11, 0), (19, 4), (12, 14), (19, 32), (2, 26), (6, 23), (25, 10), (17, 20), (13, 24), (26, 7), (25, 0), (24, 17), (0, 19), (25, 15), (5, 30), (23, 2), (20, 9), (13, 25), (13, 30), (16, 18), (7, 5), (9, 18), (29, 6), (0, 23), (8, 22), (21, 3), (0, 11), (7, 14), (23, 23), (4, 8), (22, 33), (30, 19), (15, 28), (9, 15), (13, 0), (23, 16), (17, 8), (8, 3), (20, 32), (0, 12), (30, 9), (28, 18), (2, 24), (10, 33), (5, 5), (5, 20), (12, 8), (27, 16), (19, 13), (30, 5), (6, 14), (22, 22), (22, 26), (27, 8), (27, 13), (3, 31), (28, 8), (11, 14), (12, 0), (10, 15), (8, 23), (21, 31), (26, 9), (29, 25), (1, 9), (2, 17), (22, 21), (24, 18), (7, 3), (20, 8), (0, 15), (6, 26), (6, 9), (29, 18), (20, 16), (17, 34), (27, 19), (16, 11), (3, 10), (5, 15), (15, 33), (27, 5), (11, 9), (17, 4), (25, 9), (23, 31), (8, 30), (0, 6), (0, 21), (7, 27), (3, 23), (23, 14), (2, 16), (20, 5), (27, 0), (16, 12), (12, 28), (30, 4), (25, 25), (3, 27), (21, 18), (22, 32), (11, 28), (20, 1), (3, 7), (4, 11), (8, 29), (4, 16), (5, 29), (3, 8), (3, 28), (15, 15), (1, 13), (22, 4), (12, 10), (9, 6), (13, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 27), (1, 17), (22, 15), (10, 14), (17, 32), (33, 19), (13, 13), (34, 27), (10, 3), (29, 18), (15, 4), (6, 11), (14, 2), (20, 22), (37, 13), (1, 0), (29, 15), (35, 11), (30, 7), (15, 29), (18, 11), (36, 1), (5, 7), (16, 22), (25, 29), (38, 21), (20, 15), (14, 13), (20, 9), (7, 10), (10, 2), (27, 5), (11, 15), (20, 16), (6, 24), (37, 25), (25, 15), (16, 31), (35, 21), (33, 20), (22, 23), (38, 0), (25, 21), (28, 32), (31, 8), (10, 32), (23, 20), (23, 24), (26, 24), (2, 21), (14, 21), (18, 32), (19, 14), (33, 8), (6, 16), (36, 30), (7, 8), (19, 27), (1, 22), (18, 17), (25, 4), (35, 7), (16, 13), (24, 0), (35, 5), (29, 19), (18, 22), (15, 14), (20, 28), (22, 18), (21, 2), (9, 0), (30, 24), (5, 0), (5, 11), (2, 2), (7, 26), (28, 6), (23, 2), (33, 2), (11, 14), (7, 27), (30, 27), (16, 27), (9, 18), (6, 3), (23, 26), (9, 11), (27, 29), (3, 24), (2, 5), (5, 1), (21, 30), (28, 21), (30, 22), (4, 16), (14, 22), (33, 28), (33, 26), (4, 10), (9, 9), (1, 20), (18, 9), (28, 16), (23, 31), (32, 7), (30, 32), (26, 9), (17, 20), (34, 8), (37, 19), (20, 12), (31, 24), (3, 0), (35, 20), (10, 25), (3, 25), (3, 1), (25, 19), (11, 6), (26, 5), (13, 33), (0, 11), (30, 19), (32, 29), (0, 3), (11, 27), (31, 15), (35, 31), (14, 11), (17, 6), (29, 3), (33, 27), (38, 2), (17, 24), (4, 8), (21, 4), (23, 9), (36, 16), (20, 23), (30, 18), (3, 9), (15, 0), (36, 15), (2, 30), (1, 32), (24, 27), (2, 26), (38, 9), (36, 14), (25, 28), (32, 9), (32, 5), (0, 15), (0, 7), (26, 15), (37, 5), (36, 10), (4, 3), (3, 4), (21, 21), (12, 0), (30, 17), (7, 23), (24, 11), (14, 3), (36, 7), (25, 0), (6, 10), (16, 29), (19, 8), (4, 27), (11, 13), (1, 14), (29, 17), (33, 32), (17, 15), (3, 20), (5, 28), (32, 8), (17, 13), (24, 25), (13, 20), (31, 22), (31, 13), (20, 18), (7, 16), (22, 9), (36, 22), (24, 8), (38, 32), (38, 7), (13, 27), (10, 4), (35, 10), (38, 15), (12, 18), (22, 20), (5, 19), (25, 20), (10, 24), (6, 32), (7, 9), (29, 1), (23, 7), (0, 19), (0, 22), (6, 21), (30, 4), (17, 0), (8, 32), (28, 3), (18, 12), (20, 10), (26, 14), (6, 8), (31, 11), (12, 17), (8, 1), (30, 28), (2, 14), (38, 11), (23, 3), (23, 16), (12, 30), (27, 19), (34, 12), (20, 11), (19, 32), (9, 10), (31, 5), (36, 13), (5, 26), (1, 29), (16, 5), (5, 13), (23, 32), (33, 16), (30, 29), (25, 16), (5, 12), (28, 27), (4, 26), (38, 25), (9, 12), (27, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 32), (21, 15), (0, 11), (8, 23), (17, 7), (16, 1), (23, 32), (32, 14), (24, 13), (32, 8), (30, 19), (21, 18), (11, 9), (10, 13), (22, 12), (11, 20), (22, 32), (1, 7), (22, 23), (21, 11), (25, 22), (8, 27), (14, 26), (25, 30), (4, 15), (16, 11), (19, 30), (17, 19), (4, 12), (11, 24), (29, 31), (8, 4), (10, 27), (30, 21), (31, 27), (25, 8), (20, 24), (15, 6), (29, 13), (18, 15), (9, 11), (33, 25), (31, 21), (33, 29), (7, 31), (28, 4), (3, 8), (31, 4), (3, 26), (5, 5), (11, 27), (17, 21), (7, 32), (8, 7), (4, 23), (28, 7), (0, 23), (29, 7), (25, 26), (10, 14), (31, 30), (20, 19), (22, 28), (23, 31), (15, 27), (1, 11), (30, 8), (19, 17), (10, 29), (9, 3), (22, 25), (11, 1), (26, 6), (34, 12), (33, 12), (30, 24), (17, 8), (10, 25), (16, 23), (17, 4), (18, 4), (9, 13), (14, 16), (11, 19), (1, 2), (8, 19), (33, 17), (6, 18), (11, 4), (11, 10), (4, 3), (33, 21), (34, 2), (10, 21), (17, 29), (26, 32), (28, 31), (2, 17), (31, 16), (1, 28), (11, 26), (13, 29), (3, 21), (19, 25), (21, 25), (20, 5), (0, 28), (22, 11), (1, 6), (11, 16), (6, 3), (23, 30), (8, 8), (31, 10), (27, 14), (18, 7), (30, 20), (12, 22), (5, 16), (14, 15), (7, 14), (15, 5), (25, 20), (26, 24), (25, 12), (19, 15), (23, 24), (33, 24), (28, 6), (20, 31), (6, 14), (21, 14), (27, 29), (20, 8), (26, 15), (13, 8), (3, 9), (24, 4), (27, 27), (12, 15), (27, 0), (31, 1), (8, 14), (34, 20), (20, 7), (17, 11), (26, 10), (28, 21), (5, 17), (18, 0), (17, 14), (25, 4), (25, 21), (32, 3), (22, 9), (10, 18), (27, 12), (28, 0), (7, 21), (20, 6), (6, 27), (21, 10), (14, 6), (26, 14), (8, 31), (14, 1), (9, 30), (22, 19), (10, 28), (15, 28), (6, 23), (13, 11), (2, 22), (10, 11), (20, 1), (32, 21), (27, 2), (29, 10), (1, 23), (16, 4), (32, 5), (10, 1), (21, 3), (27, 17), (10, 26), (23, 12), (10, 12), (14, 0), (8, 0), (13, 4), (26, 13), (18, 27), (29, 15), (2, 28), (12, 18), (1, 13), (19, 6), (24, 1), (8, 3), (16, 20), (29, 25), (4, 18), (28, 32), (13, 26), (14, 19), (9, 4), (27, 24), (14, 18), (7, 17), (3, 28), (14, 27), (5, 6), (20, 15), (19, 20), (14, 4), (28, 2), (28, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 11), (22, 20), (0, 18), (12, 18), (19, 5), (29, 18), (1, 23), (14, 9), (30, 12), (13, 14), (7, 8), (7, 4), (24, 12), (11, 20), (5, 20), (25, 18), (11, 29), (16, 23), (6, 12), (15, 5), (11, 25), (15, 21), (28, 19), (3, 6), (0, 24), (1, 6), (23, 1), (2, 12), (22, 4), (25, 13), (4, 15), (5, 22), (30, 26), (1, 15), (14, 10), (2, 13), (17, 13), (3, 1), (27, 28), (5, 23), (16, 8), (17, 4), (17, 2), (27, 14), (7, 0), (4, 27), (2, 11), (11, 9), (7, 16), (15, 10), (5, 24), (28, 6), (9, 11), (28, 11), (19, 21), (22, 12), (8, 5), (17, 23), (18, 15), (2, 6), (1, 19), (16, 26), (20, 7), (6, 26), (11, 18), (19, 26), (12, 23), (7, 9), (23, 6), (13, 19), (10, 7), (19, 9), (5, 17), (13, 16), (26, 1), (20, 15), (1, 20), (10, 19), (10, 21), (7, 7), (6, 8), (14, 11), (22, 14), (18, 2), (4, 6), (12, 25), (22, 25), (3, 25), (2, 19), (26, 2), (26, 4), (30, 28), (20, 8), (22, 22), (4, 0), (30, 22), (11, 6), (21, 26), (8, 15), (29, 14), (14, 14), (12, 16), (15, 26), (5, 3), (18, 19), (11, 27), (6, 0), (1, 17), (0, 22), (22, 17), (19, 8), (15, 20), (20, 21), (17, 20), (23, 15), (15, 14), (4, 22), (0, 6), (1, 26), (13, 27), (8, 23), (3, 14), (1, 2), (23, 3), (9, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 37), (0, 20), (4, 10), (23, 0), (32, 18), (18, 0), (32, 32), (13, 33), (12, 5), (18, 25), (18, 35), (16, 29), (15, 34), (4, 3), (6, 15), (15, 27), (12, 16), (3, 34), (11, 8), (11, 3), (26, 9), (3, 35), (4, 34), (10, 0), (16, 8), (24, 26), (28, 36), (19, 25), (29, 1), (25, 29), (23, 32), (19, 27), (19, 34), (15, 5), (9, 28), (0, 25), (32, 22), (28, 32), (6, 19), (27, 2), (3, 24), (3, 30), (5, 37), (26, 23), (1, 20), (13, 27), (21, 35), (17, 32), (10, 11), (17, 4), (25, 1), (7, 20), (11, 7), (15, 6), (1, 14), (24, 30), (19, 36), (6, 35), (7, 14), (24, 31), (32, 36), (22, 7), (31, 13), (6, 23), (3, 13), (7, 11), (15, 37), (1, 11), (26, 13), (17, 11), (21, 30), (29, 20), (4, 35), (29, 25), (25, 36), (16, 23), (24, 21), (11, 24), (4, 15), (20, 21), (6, 2), (14, 33), (6, 29), (27, 9), (32, 20), (7, 7), (12, 33), (16, 19), (31, 27), (5, 18), (32, 7), (18, 2), (9, 27), (2, 33), (25, 0), (24, 1), (11, 33), (31, 32), (5, 36), (17, 13), (22, 10), (24, 37), (1, 30), (19, 18), (13, 6), (15, 15), (5, 23), (24, 9), (18, 19), (32, 12), (16, 30), (25, 19), (8, 33), (14, 4), (8, 28), (20, 20), (9, 29), (21, 12), (12, 2), (32, 17), (22, 25), (14, 31), (10, 1), (11, 32), (0, 37), (27, 18), (31, 9), (18, 16), (29, 36), (31, 28), (12, 10), (20, 26), (0, 36), (23, 11), (25, 33), (3, 8), (13, 13), (21, 24), (24, 24), (28, 7), (22, 0), (8, 30), (17, 1), (6, 37), (11, 25), (11, 20), (6, 22), (11, 18), (31, 29), (12, 24), (24, 33), (32, 0), (27, 28), (18, 23), (25, 34), (27, 33), (14, 0), (29, 13), (16, 10), (3, 18), (27, 12), (18, 22), (17, 26), (1, 5), (17, 25), (21, 16), (22, 26), (13, 21), (27, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 37x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 17), (17, 10), (8, 20), (28, 17), (18, 24), (33, 1), (18, 7), (28, 19), (36, 3), (36, 31), (4, 37), (1, 0), (19, 28), (4, 2), (12, 37), (14, 17), (12, 24), (5, 32), (1, 14), (36, 23), (26, 8), (35, 5), (30, 10), (7, 31), (15, 15), (9, 11), (1, 33), (18, 20), (1, 3), (25, 13), (22, 7), (27, 1), (13, 20), (1, 9), (3, 20), (20, 26), (25, 28), (28, 34), (5, 24), (29, 28), (1, 17), (17, 30), (24, 2), (36, 21), (4, 8), (10, 37), (3, 5), (31, 31), (6, 14), (7, 37), (23, 27), (15, 26), (9, 35), (20, 11), (25, 1), (13, 15), (17, 0), (17, 23), (16, 35), (12, 28), (7, 10), (35, 10), (10, 32), (9, 24), (36, 36), (4, 16), (25, 30), (27, 16), (32, 24), (24, 26), (21, 5), (1, 8), (8, 3), (17, 14), (26, 2), (8, 24), (1, 27), (18, 10), (18, 31), (16, 4), (34, 36), (26, 36), (11, 31), (34, 27), (7, 13), (30, 19), (12, 9), (23, 15), (18, 13), (8, 23), (26, 19), (4, 19), (31, 13), (22, 21), (34, 25), (10, 20), (4, 12), (8, 28), (13, 6), (22, 17), (2, 1), (3, 1), (14, 8), (32, 14), (8, 6), (12, 23), (31, 15), (17, 8), (22, 3), (11, 11), (31, 0), (9, 30), (3, 9), (20, 18), (23, 13), (24, 33), (18, 34), (15, 33), (15, 37), (22, 24), (25, 37), (8, 25), (23, 25), (35, 20), (14, 1), (23, 32), (36, 13), (33, 14), (32, 19), (30, 15), (26, 1), (26, 24), (34, 14), (20, 15), (12, 30), (16, 37), (10, 31), (24, 25), (27, 31), (11, 25), (16, 36), (2, 28), (19, 17), (24, 13), (35, 15), (17, 11), (24, 6), (17, 36), (33, 29), (24, 28), (14, 37), (6, 26), (23, 3), (29, 13), (33, 22), (19, 2), (16, 13), (13, 34), (25, 23), (2, 3), (33, 13), (26, 6), (26, 14), (10, 8), (22, 35), (7, 12), (8, 21), (4, 14), (20, 30), (31, 18), (28, 36), (1, 4), (10, 14), (0, 17), (12, 11), (32, 11), (34, 21), (11, 8), (34, 8), (32, 15), (25, 2), (14, 9), (23, 29), (12, 4), (35, 19), (29, 12), (20, 27), (28, 7), (13, 33), (33, 17), (19, 9), (21, 19), (1, 22), (7, 24), (27, 21), (24, 11), (17, 31), (20, 35), (22, 33), (30, 18), (27, 9), (25, 3), (12, 34), (5, 36), (25, 34), (31, 1), (20, 3), (13, 4), (27, 33), (19, 7), (3, 6), (24, 34), (2, 12), (19, 27), (7, 27), (9, 6), (1, 19), (7, 18), (16, 3), (1, 25), (3, 36), (19, 19), (16, 15), (23, 16), (19, 32), (6, 18), (26, 29), (32, 13), (31, 8), (28, 33), (27, 36), (13, 26), (0, 23), (8, 14), (14, 10), (3, 7), (27, 10), (2, 24), (17, 4), (5, 0), (17, 33), (1, 36), (32, 3), (1, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 34x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 7), (27, 1), (6, 31), (18, 20), (18, 4), (15, 26), (23, 22), (17, 10), (1, 11), (23, 29), (26, 8), (32, 23), (9, 26), (12, 25), (26, 16), (25, 14), (5, 27), (8, 27), (20, 12), (1, 8), (19, 7), (18, 31), (4, 4), (15, 25), (27, 21), (32, 5), (1, 3), (24, 0), (0, 27), (15, 24), (26, 30), (31, 19), (13, 1), (14, 30), (14, 27), (31, 15), (30, 31), (19, 12), (26, 25), (20, 19), (11, 22), (0, 30), (31, 28), (14, 0), (0, 1), (22, 4), (22, 15), (13, 31), (10, 21), (29, 19), (9, 21), (1, 17), (6, 19), (31, 4), (20, 24), (26, 3), (15, 22), (10, 12), (5, 4), (26, 13), (28, 4), (24, 16), (8, 28), (1, 10), (4, 15), (8, 23), (22, 5), (6, 8), (20, 7), (7, 23), (23, 9), (28, 10), (13, 17), (16, 23), (1, 1), (23, 31), (2, 26), (23, 10), (9, 4), (10, 3), (19, 13), (10, 15), (24, 21), (22, 21), (17, 9), (32, 1), (6, 20), (8, 8), (32, 29), (0, 9), (13, 28), (23, 12), (26, 2), (7, 27), (22, 23), (30, 10), (15, 23), (10, 31), (22, 25), (2, 5), (11, 9), (30, 1), (12, 28), (10, 7), (26, 23), (3, 4), (28, 16), (23, 3), (21, 0), (25, 21), (33, 3), (29, 16), (5, 0), (9, 1), (24, 31), (12, 7), (20, 11), (0, 17), (29, 0), (29, 26), (23, 25), (16, 10), (33, 27), (10, 25), (18, 29), (10, 14), (14, 12), (12, 12), (3, 19), (27, 27), (8, 2), (13, 10), (14, 31), (25, 10), (32, 19), (2, 11), (15, 5), (17, 31), (23, 16), (10, 2), (27, 3), (23, 18), (1, 13), (5, 30), (6, 13), (18, 23), (28, 19), (24, 28), (8, 5), (6, 23), (19, 27), (2, 14), (3, 16), (28, 11), (18, 24), (2, 15), (15, 19), (28, 25), (24, 13), (24, 24), (21, 6), (28, 23), (13, 15), (21, 10), (12, 3), (14, 22), (5, 25), (18, 18), (21, 29), (21, 25), (31, 31), (6, 26), (31, 30), (32, 9), (27, 14), (3, 24), (7, 21), (20, 5), (13, 2), (13, 29), (17, 18), (32, 7), (22, 27), (11, 26), (12, 26), (26, 9), (5, 1), (7, 14), (25, 0), (17, 16), (16, 24), (11, 19), (20, 17), (30, 6), (8, 19), (0, 29), (17, 11), (22, 26), (28, 15), (7, 9), (4, 21), (24, 10), (12, 24), (6, 2), (15, 30), (32, 8), (22, 14), (5, 6), (5, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "In a 32x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 34), (28, 11), (6, 16), (30, 34), (30, 13), (22, 30), (13, 18), (14, 34), (23, 17), (29, 11), (9, 19), (28, 15), (1, 17), (14, 9), (2, 12), (1, 38), (3, 11), (12, 12), (31, 30), (7, 2), (24, 16), (3, 38), (5, 9), (21, 7), (12, 27), (8, 38), (9, 37), (12, 36), (5, 16), (17, 28), (24, 12), (12, 22), (18, 31), (16, 10), (7, 21), (9, 9), (13, 36), (7, 26), (31, 7), (20, 28), (10, 8), (10, 14), (1, 19), (21, 4), (11, 10), (14, 5), (1, 15), (6, 11), (23, 5), (9, 32), (19, 17), (13, 10), (5, 35), (8, 8), (15, 0), (9, 34), (26, 21), (20, 0), (13, 5), (18, 32), (5, 0), (26, 31), (11, 19), (25, 6), (4, 16), (0, 32), (21, 26), (31, 37), (1, 33), (0, 5), (24, 35), (12, 8), (8, 12), (28, 20), (22, 27), (30, 16), (2, 13), (2, 27), (8, 19), (11, 32), (24, 30), (7, 36), (8, 37), (27, 17), (25, 5), (27, 33), (28, 26), (2, 8), (10, 4), (11, 27), (21, 8), (5, 1), (4, 33), (6, 23), (15, 33), (14, 11), (14, 15), (27, 1), (8, 7), (7, 6), (16, 13), (22, 18), (1, 10), (26, 1), (4, 34), (24, 5), (6, 3), (19, 36), (9, 21), (17, 38), (17, 9), (23, 23), (11, 36), (10, 32), (9, 6), (28, 32), (27, 15), (17, 12), (8, 14), (30, 27), (0, 35), (8, 10), (9, 2), (12, 21), (11, 23), (17, 25), (30, 32), (21, 12), (10, 36), (22, 13), (6, 12), (22, 38), (3, 24), (14, 13), (15, 29), (26, 35), (16, 14), (11, 16), (13, 23), (15, 28), (6, 35), (28, 22), (4, 35), (22, 20), (29, 33), (28, 5), (13, 31), (23, 25), (26, 14), (15, 36), (4, 11), (6, 8), (15, 30), (16, 11), (22, 22), (22, 19), (7, 9), (7, 28), (30, 15), (22, 24), (18, 23), (13, 30), (14, 14), (29, 34), (12, 34), (3, 4), (28, 18), (20, 9), (3, 14), (14, 26), (17, 32), (27, 30), (30, 36), (7, 34), (20, 5), (10, 15), (16, 17), (1, 24), (8, 3), (12, 4), (27, 9), (15, 38), (18, 12), (20, 34), (12, 35), (14, 2), (22, 34), (12, 32), (0, 30), (16, 23), (24, 14), (24, 1), (8, 20), (30, 1), (18, 21), (6, 13), (31, 12), (1, 32), (31, 14), (18, 37), (28, 29), (21, 37), (6, 2), (22, 0), (1, 27), (22, 35), (18, 1), (4, 18), (29, 1), (8, 22), (24, 19), (28, 38), (24, 21), (0, 34), (23, 24), (23, 18), (0, 21), (29, 13), (3, 28), (5, 19), (0, 33), (22, 28), (26, 18), (15, 8), (12, 30), (14, 6), (21, 23), (7, 24), (12, 31), (22, 12), (11, 18), (16, 36), (2, 33), (24, 0), (6, 6), (22, 9), (11, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 5), (9, 10), (9, 30), (6, 28), (17, 18), (5, 17), (12, 1), (4, 17), (13, 28), (24, 17), (32, 23), (20, 15), (20, 22), (14, 23), (27, 7), (31, 9), (1, 26), (23, 4), (2, 18), (2, 14), (25, 1), (35, 5), (32, 21), (0, 9), (34, 8), (17, 8), (9, 13), (12, 28), (28, 15), (35, 8), (30, 21), (7, 3), (9, 23), (10, 8), (17, 1), (12, 18), (9, 15), (2, 21), (28, 19), (33, 32), (33, 22), (34, 16), (36, 10), (6, 31), (18, 10), (21, 4), (14, 22), (18, 2), (5, 31), (12, 9), (3, 16), (0, 2), (13, 12), (31, 4), (19, 10), (34, 14), (31, 13), (19, 19), (17, 10), (2, 6), (7, 30), (8, 5), (22, 8), (35, 29), (2, 16), (12, 3), (4, 32), (22, 9), (8, 18), (19, 18), (8, 17), (13, 9), (32, 22), (20, 9), (17, 2), (35, 14), (0, 28), (15, 5), (10, 7), (19, 15), (20, 12), (7, 29), (18, 12), (12, 6), (4, 2), (2, 4), (9, 32), (1, 21), (9, 3), (25, 12), (12, 23), (29, 12), (19, 21), (27, 23), (10, 23), (26, 22), (29, 15), (18, 32), (19, 29), (21, 18), (23, 3), (33, 29), (13, 10), (30, 30), (35, 0), (27, 17), (10, 31), (6, 27), (5, 26), (22, 0), (31, 28), (11, 14), (28, 22), (20, 31), (30, 13), (28, 31), (20, 26), (19, 5), (8, 23), (28, 4), (18, 16), (22, 2), (34, 29), (15, 12), (24, 23), (1, 15), (2, 25), (16, 30), (31, 32), (22, 21), (5, 29), (26, 30), (2, 26), (14, 9), (18, 17), (8, 16), (2, 30), (2, 7), (25, 16), (4, 18), (25, 30), (2, 27), (17, 5), (11, 20), (7, 2), (32, 16), (1, 31), (11, 7), (1, 13), (27, 13), (7, 20), (33, 4), (21, 15), (29, 21), (18, 23), (1, 16), (20, 5), (18, 0), (18, 21), (3, 29), (34, 6), (17, 29), (21, 3), (13, 5), (12, 10), (12, 27), (28, 25), (34, 32), (16, 21), (14, 6), (18, 8), (25, 17), (13, 23), (22, 18), (18, 22), (14, 21), (15, 23), (2, 3), (10, 27), (4, 19), (1, 10), (16, 18), (30, 1), (12, 22), (16, 17), (30, 27), (23, 7), (26, 29), (26, 19), (11, 25), (2, 19), (5, 16), (10, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 35x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 30), (23, 1), (34, 2), (16, 0), (33, 8), (21, 8), (15, 6), (6, 18), (32, 5), (1, 6), (34, 27), (6, 8), (0, 24), (32, 1), (28, 25), (26, 6), (18, 29), (23, 7), (31, 18), (22, 24), (19, 22), (33, 19), (30, 14), (12, 13), (11, 13), (18, 4), (25, 6), (25, 16), (19, 27), (5, 29), (3, 27), (7, 23), (33, 29), (18, 9), (13, 9), (8, 11), (7, 22), (34, 29), (32, 31), (9, 6), (16, 14), (13, 27), (28, 26), (4, 28), (1, 23), (6, 21), (27, 9), (33, 12), (11, 22), (30, 25), (27, 26), (13, 15), (27, 7), (10, 1), (1, 16), (1, 11), (27, 22), (2, 25), (11, 14), (22, 5), (3, 1), (18, 31), (19, 15), (25, 5), (1, 29), (13, 25), (12, 2), (4, 16), (2, 7), (32, 21), (26, 8), (8, 22), (31, 6), (21, 3), (9, 20), (9, 27), (3, 2), (10, 11), (2, 27), (21, 0), (32, 7), (27, 31), (21, 18), (2, 17), (31, 11), (7, 6), (31, 28), (23, 14), (26, 2), (5, 7), (26, 11), (28, 15), (8, 5), (16, 31), (2, 24), (27, 4), (21, 19), (16, 22), (33, 25), (32, 3), (13, 4), (8, 24), (4, 19), (15, 3), (24, 10), (3, 0), (14, 5), (13, 28), (9, 31), (33, 28), (30, 10), (31, 9), (8, 10), (22, 8), (14, 14), (9, 21), (11, 4), (0, 26), (12, 15), (4, 7), (20, 14), (1, 1), (1, 10), (21, 9), (32, 26), (23, 8), (34, 22), (6, 20), (4, 27), (5, 26), (29, 29), (15, 5), (20, 29), (22, 2), (1, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 28), (23, 21), (7, 8), (18, 19), (10, 9), (20, 19), (3, 25), (0, 3), (3, 18), (10, 4), (28, 30), (4, 22), (27, 10), (1, 29), (5, 6), (28, 27), (11, 27), (12, 18), (15, 10), (5, 4), (10, 16), (25, 16), (14, 26), (13, 5), (3, 22), (3, 14), (0, 16), (26, 23), (22, 2), (4, 18), (11, 30), (10, 5), (24, 16), (17, 0), (10, 15), (12, 7), (15, 0), (27, 20), (20, 26), (27, 11), (21, 29), (6, 16), (12, 1), (16, 4), (16, 10), (28, 26), (9, 7), (2, 18), (5, 15), (6, 18), (6, 28), (7, 27), (16, 22), (12, 27), (25, 23), (19, 26), (19, 6), (17, 30), (18, 26), (12, 29), (20, 29), (19, 17), (0, 2), (3, 15), (13, 14), (0, 12), (25, 19), (16, 24), (10, 25), (16, 8), (29, 14), (19, 10), (29, 23), (7, 9), (23, 25), (18, 3), (22, 14), (17, 14), (17, 8), (27, 23), (7, 18), (21, 10), (2, 14), (25, 3), (20, 2), (6, 4), (13, 3), (3, 27), (26, 30), (12, 0), (11, 23), (0, 8), (26, 20), (11, 8), (20, 18), (14, 6), (1, 8), (22, 20), (19, 9), (18, 21), (24, 0), (5, 5), (26, 3), (1, 26), (10, 13), (25, 12), (24, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 22), (17, 25), (21, 29), (6, 37), (6, 23), (24, 13), (0, 17), (24, 38), (8, 3), (6, 21), (1, 25), (7, 31), (23, 8), (20, 31), (25, 33), (31, 22), (13, 22), (7, 11), (23, 13), (29, 16), (24, 3), (16, 15), (13, 24), (5, 21), (9, 17), (29, 37), (29, 30), (15, 7), (11, 28), (17, 15), (5, 12), (28, 26), (20, 20), (3, 14), (12, 21), (20, 32), (24, 31), (27, 10), (1, 5), (7, 29), (1, 19), (2, 19), (2, 22), (17, 38), (24, 1), (20, 30), (14, 22), (11, 38), (8, 1), (25, 15), (21, 17), (17, 4), (17, 30), (3, 2), (10, 15), (24, 6), (29, 14), (5, 6), (30, 26), (31, 37), (18, 2), (16, 22), (17, 18), (20, 27), (30, 25), (28, 35), (2, 14), (2, 33), (8, 10), (1, 0), (19, 10), (30, 30), (13, 36), (3, 7), (25, 30), (17, 27), (5, 4), (14, 27), (28, 21), (14, 26), (8, 17), (10, 9), (9, 16), (11, 31), (18, 3), (9, 12), (9, 26), (9, 38), (26, 18), (4, 3), (12, 8), (13, 26), (18, 32), (17, 31), (20, 38), (30, 8), (26, 20), (20, 3), (30, 32), (21, 0), (3, 11), (23, 7), (21, 4), (14, 19), (10, 25), (17, 8), (16, 12), (9, 27), (1, 16), (23, 32), (16, 6), (17, 12), (2, 36), (28, 31), (30, 2), (3, 6), (9, 30), (27, 29), (24, 30), (30, 19), (12, 2), (28, 23), (5, 5), (13, 2), (8, 38), (24, 26), (1, 18), (6, 24), (15, 16), (8, 0), (8, 20), (23, 15), (19, 13), (21, 36), (26, 5), (17, 26), (4, 38), (31, 20), (6, 25), (0, 2), (6, 1), (11, 32), (6, 33), (30, 15), (21, 19), (19, 17), (16, 23), (17, 24), (2, 16), (19, 9), (0, 6), (11, 37), (29, 28), (19, 14), (25, 17), (18, 29), (11, 27), (15, 31), (4, 18), (1, 23), (25, 26), (2, 25), (1, 32), (3, 9), (11, 34), (28, 36), (21, 14), (23, 18), (21, 12), (4, 25), (26, 26), (31, 13), (27, 3), (31, 9), (1, 33), (11, 18), (13, 32), (19, 3), (24, 23), (15, 26), (19, 31), (4, 17), (20, 24), (20, 28), (27, 21), (18, 9), (25, 11), (22, 4), (24, 18), (13, 29), (18, 35), (29, 29), (25, 31), (1, 27), (29, 6), (23, 33), (22, 35), (14, 13), (12, 0), (13, 13), (8, 8), (19, 21), (10, 6), (3, 3), (7, 27), (21, 30), (5, 0), (4, 31), (11, 12), (7, 13), (13, 37), (8, 7), (12, 24), (20, 6), (9, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 14), (4, 23), (16, 17), (22, 6), (26, 26), (36, 1), (1, 11), (15, 15), (12, 15), (17, 3), (4, 25), (19, 7), (8, 2), (20, 17), (5, 4), (22, 7), (23, 21), (13, 4), (26, 5), (8, 24), (15, 28), (3, 9), (35, 10), (3, 15), (3, 28), (35, 2), (30, 16), (3, 10), (22, 0), (27, 19), (25, 27), (10, 13), (22, 2), (23, 8), (21, 6), (18, 8), (35, 15), (34, 0), (20, 2), (13, 2), (5, 25), (20, 11), (32, 14), (23, 18), (7, 11), (4, 27), (16, 20), (17, 13), (20, 19), (13, 18), (38, 13), (21, 18), (22, 17), (24, 21), (13, 27), (25, 2), (3, 6), (1, 24), (20, 18), (24, 16), (38, 15), (26, 27), (36, 29), (30, 2), (37, 13), (14, 0), (36, 15), (7, 22), (28, 22), (23, 7), (35, 8), (16, 19), (19, 24), (10, 27), (38, 10), (38, 1), (31, 0), (0, 21), (33, 11), (0, 27), (29, 17), (4, 28), (19, 28), (2, 15), (36, 20), (20, 20), (14, 1), (6, 27), (15, 27), (12, 24), (6, 1), (25, 3), (6, 3), (19, 12), (5, 14), (2, 24), (18, 14), (10, 18), (14, 25), (14, 10), (1, 12), (24, 2), (2, 13), (22, 21), (37, 19), (13, 29), (17, 16), (27, 27), (1, 28), (9, 21), (31, 24), (23, 0), (19, 25), (26, 15), (37, 9), (17, 24), (18, 3), (27, 10), (2, 11), (17, 18), (1, 7), (8, 5), (11, 5), (37, 27), (29, 14), (4, 24), (5, 5), (8, 12), (32, 2), (15, 26), (30, 18), (30, 29), (6, 5), (13, 23), (13, 10), (35, 6), (26, 9), (9, 28), (5, 18), (34, 15), (11, 13), (23, 23), (22, 15), (22, 14), (33, 8), (11, 14), (26, 20), (20, 22), (0, 26), (2, 25), (33, 13), (18, 22), (11, 22), (35, 27), (28, 2), (5, 3), (27, 11), (2, 26), (2, 27), (19, 14), (29, 7), (4, 26), (36, 21), (34, 19), (31, 21), (1, 29), (18, 0), (7, 28), (11, 18), (14, 5), (25, 12), (33, 14), (30, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 1), (6, 6), (18, 9), (6, 22), (14, 13), (6, 15), (32, 10), (30, 0), (1, 15), (10, 8), (4, 7), (0, 28), (29, 11), (1, 10), (4, 27), (9, 25), (0, 3), (24, 17), (11, 17), (5, 0), (36, 13), (25, 27), (34, 11), (21, 8), (34, 8), (26, 7), (33, 21), (12, 11), (4, 15), (20, 7), (24, 18), (2, 29), (10, 22), (9, 2), (22, 18), (23, 31), (33, 6), (20, 9), (4, 12), (2, 31), (30, 16), (32, 7), (17, 10), (13, 24), (34, 28), (7, 13), (35, 16), (37, 10), (14, 14), (14, 29), (11, 16), (24, 21), (34, 16), (2, 8), (37, 0), (36, 30), (4, 21), (19, 20), (30, 19), (3, 3), (21, 22), (33, 9), (8, 8), (26, 4), (24, 3), (23, 23), (18, 21), (20, 3), (7, 2), (19, 21), (18, 18), (26, 0), (7, 0), (31, 20), (19, 19), (11, 7), (16, 2), (36, 16), (16, 24), (28, 5), (23, 4), (20, 25), (32, 0), (0, 13), (8, 30), (9, 21), (35, 19), (9, 13), (21, 9), (37, 18), (5, 7), (34, 23), (32, 22), (7, 17), (33, 17), (19, 2), (17, 20), (16, 9), (36, 27), (3, 29), (2, 18), (19, 18), (17, 13), (29, 13), (9, 30), (19, 17), (6, 8), (19, 23), (33, 30), (23, 17), (14, 28), (19, 27), (33, 19), (27, 4), (32, 24), (15, 24), (21, 3), (36, 29), (26, 28), (13, 11), (21, 6), (27, 20), (19, 4), (15, 30), (12, 14), (23, 18), (21, 0), (24, 1), (1, 27), (16, 20), (6, 12), (27, 16), (29, 19), (13, 31), (21, 24), (23, 1), (10, 1), (24, 6), (26, 11), (16, 1), (16, 28), (24, 2), (0, 4), (28, 4), (16, 22), (8, 14), (33, 15), (20, 14), (32, 25), (22, 4), (27, 23), (26, 17), (19, 7), (13, 0), (23, 6), (0, 18), (17, 11), (33, 18), (29, 18), (16, 13), (1, 19), (14, 30), (4, 25), (25, 29), (9, 7), (33, 12), (0, 19), (24, 11), (8, 9), (21, 25), (9, 20), (11, 27), (28, 31), (7, 19), (29, 8), (13, 16), (9, 14), (9, 22), (17, 0), (18, 29), (29, 23), (4, 11), (14, 18), (6, 21), (18, 20), (4, 30), (24, 27), (34, 21), (33, 20), (32, 6), (33, 7), (17, 22), (36, 4), (7, 25), (37, 19), (24, 20), (26, 18), (9, 15), (5, 2), (5, 14), (3, 13), (24, 29), (23, 30), (27, 8), (13, 5), (13, 12), (1, 25), (23, 29), (29, 29), (25, 12), (37, 6), (2, 2), (6, 0), (6, 19), (34, 0), (14, 10), (14, 12), (26, 29), (10, 2), (7, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 34), (14, 6), (7, 23), (3, 29), (5, 30), (11, 37), (24, 26), (22, 25), (10, 34), (30, 23), (7, 13), (11, 7), (33, 17), (21, 20), (22, 30), (5, 18), (0, 33), (15, 26), (21, 1), (33, 21), (33, 6), (14, 25), (32, 19), (26, 31), (17, 21), (19, 21), (25, 3), (19, 20), (3, 5), (23, 22), (24, 28), (1, 12), (24, 27), (14, 8), (11, 14), (16, 19), (6, 21), (29, 22), (3, 37), (19, 2), (28, 36), (15, 8), (8, 3), (30, 16), (15, 11), (19, 14), (15, 29), (22, 27), (4, 28), (4, 22), (14, 10), (25, 29), (3, 10), (1, 29), (19, 18), (23, 3), (17, 37), (28, 24), (19, 30), (8, 24), (32, 34), (27, 26), (17, 36), (10, 22), (25, 6), (0, 17), (28, 32), (19, 23), (3, 16), (9, 23), (31, 5), (23, 11), (12, 27), (7, 20), (22, 34), (16, 7), (11, 12), (13, 18), (29, 20), (4, 5), (8, 32), (7, 27), (31, 12), (12, 19), (6, 9), (7, 18), (27, 12), (0, 36), (20, 11), (5, 20), (5, 3), (3, 35), (28, 26), (10, 36), (18, 15), (4, 13), (31, 9), (31, 26), (11, 30), (10, 11), (8, 18), (15, 24), (31, 0), (18, 20), (24, 36), (27, 18), (31, 15), (3, 13), (3, 28), (6, 28), (6, 12), (16, 33), (18, 8), (13, 25), (8, 19), (8, 25), (29, 37), (12, 0), (2, 10), (32, 1), (17, 7), (8, 0), (7, 15), (33, 23), (20, 7), (12, 30), (16, 23), (5, 37), (25, 24), (30, 12), (8, 8), (0, 16), (11, 19), (27, 10), (7, 8), (13, 20), (24, 29), (12, 10), (15, 37), (3, 4), (33, 8), (20, 30), (10, 9), (12, 29), (5, 29), (30, 8), (25, 31), (20, 15), (18, 36), (21, 2), (7, 14), (9, 26), (25, 16), (27, 5), (26, 29), (23, 0), (25, 37), (7, 5), (27, 7), (11, 33), (21, 17), (25, 15), (4, 4), (21, 19), (32, 15), (19, 13), (16, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 9), (11, 5), (12, 13), (14, 33), (0, 38), (27, 2), (7, 28), (18, 7), (27, 6), (15, 34), (22, 27), (14, 3), (29, 25), (25, 18), (25, 16), (24, 0), (27, 26), (26, 17), (15, 21), (10, 11), (29, 29), (20, 21), (9, 25), (27, 36), (11, 20), (28, 28), (28, 19), (4, 27), (29, 5), (20, 38), (28, 16), (27, 25), (22, 37), (9, 8), (27, 10), (0, 25), (22, 13), (2, 16), (6, 1), (18, 33), (26, 18), (11, 11), (4, 32), (13, 0), (17, 15), (27, 4), (14, 26), (24, 8), (22, 15), (25, 8), (10, 17), (3, 5), (20, 19), (12, 37), (29, 14), (13, 10), (28, 25), (6, 19), (21, 4), (5, 21), (1, 19), (8, 12), (10, 4), (13, 24), (11, 36), (10, 13), (10, 33), (16, 11), (6, 38), (20, 8), (6, 33), (23, 37), (9, 19), (3, 21), (8, 34), (25, 28), (9, 16), (29, 20), (17, 34), (7, 8), (24, 25), (17, 1), (7, 14), (22, 23), (27, 29), (21, 6), (8, 31), (19, 20), (9, 11), (25, 0), (12, 32), (21, 14), (22, 9), (11, 4), (0, 33), (7, 34), (19, 9), (17, 30), (13, 9), (15, 33), (2, 22), (26, 12), (27, 19), (10, 5), (24, 36), (6, 26), (24, 27), (0, 12), (24, 1), (29, 1), (12, 25), (9, 28), (22, 11), (22, 20), (5, 27), (21, 2), (24, 23), (29, 24), (1, 18), (9, 4), (22, 32), (28, 5), (23, 26), (20, 12), (21, 15), (10, 2), (6, 18), (19, 24), (15, 22), (22, 22), (2, 9), (3, 34), (24, 19), (3, 2), (25, 23), (11, 32), (18, 6), (27, 37), (2, 18), (3, 35), (5, 1), (9, 10), (20, 11), (15, 25), (23, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (36, 11), (30, 15), (37, 7), (3, 20), (5, 18), (3, 5), (18, 29), (30, 29), (19, 2), (21, 12), (14, 18), (15, 3), (26, 12), (36, 9), (26, 6), (17, 3), (9, 9), (1, 10), (6, 7), (12, 13), (14, 20), (12, 2), (33, 23), (33, 3), (11, 24), (29, 6), (1, 9), (27, 17), (8, 29), (18, 22), (13, 20), (23, 14), (9, 14), (18, 24), (10, 7), (8, 22), (28, 27), (35, 11), (28, 4), (26, 15), (24, 13), (17, 29), (20, 11), (4, 28), (30, 27), (23, 15), (31, 0), (5, 0), (18, 9), (6, 20), (31, 25), (7, 24), (19, 9), (17, 17), (12, 23), (3, 7), (8, 30), (37, 20), (37, 22), (4, 7), (29, 16), (34, 9), (10, 8), (29, 10), (18, 19), (25, 3), (4, 9), (11, 9), (26, 23), (1, 13), (5, 23), (5, 11), (9, 3), (37, 5), (0, 6), (25, 21), (23, 16), (24, 24), (34, 5), (10, 21), (13, 18), (32, 20), (9, 12), (12, 19), (32, 16), (13, 1), (26, 11), (18, 16), (12, 27), (34, 23), (22, 21), (9, 19), (14, 29), (34, 28), (30, 6), (30, 20), (20, 8), (30, 21), (32, 30), (9, 22), (27, 2), (28, 1), (28, 2), (31, 9), (30, 13), (14, 30), (8, 27), (31, 13), (28, 7), (2, 21), (5, 24), (26, 5), (2, 3), (25, 22), (20, 21), (21, 15), (0, 8), (4, 27), (18, 27), (3, 6), (16, 0), (30, 18), (4, 1), (25, 25), (17, 2), (37, 26), (14, 21), (0, 3), (6, 1), (29, 29), (10, 29), (25, 18), (24, 2), (1, 4), (2, 19), (3, 23), (11, 26), (9, 27), (8, 0), (35, 2), (15, 29), (19, 6), (6, 23), (32, 5), (22, 1), (12, 15), (2, 8), (2, 24), (33, 29), (37, 8), (30, 5), (6, 17), (6, 28), (21, 30), (15, 27), (9, 8), (27, 22), (16, 15), (26, 3), (2, 0), (16, 19), (20, 13), (36, 16), (2, 6), (5, 14), (19, 14), (1, 19), (27, 28), (21, 25), (33, 6), (11, 23), (10, 25), (9, 1), (11, 15), (26, 18), (7, 25), (7, 17), (2, 7), (18, 12), (23, 17), (1, 24), (10, 26), (16, 16), (36, 5), (6, 26), (4, 24), (13, 22), (24, 25), (34, 21), (3, 27), (23, 4), (33, 4), (4, 8), (6, 10), (37, 6), (35, 22), (34, 1), (12, 6), (17, 22), (1, 22), (35, 17), (32, 2), (4, 16), (0, 11), (5, 27), (13, 6), (13, 19), (27, 20), (27, 10), (28, 23), (2, 11), (36, 6), (13, 15), (30, 28), (19, 19), (4, 2), (23, 24), (28, 9), (7, 20), (2, 5), (11, 13), (19, 28), (23, 8), (16, 20), (10, 3), (15, 5), (22, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 2), (4, 27), (8, 29), (4, 32), (23, 24), (29, 15), (23, 14), (6, 12), (14, 8), (3, 17), (2, 26), (10, 2), (9, 25), (22, 13), (3, 22), (10, 22), (29, 13), (10, 3), (15, 13), (17, 4), (6, 22), (1, 27), (25, 30), (24, 19), (15, 27), (23, 19), (9, 1), (23, 23), (16, 22), (22, 1), (13, 9), (11, 21), (0, 12), (10, 29), (8, 25), (12, 25), (31, 5), (3, 32), (15, 17), (19, 4), (13, 0), (8, 21), (7, 14), (6, 23), (9, 17), (10, 16), (31, 18), (29, 0), (5, 31), (2, 0), (21, 11), (30, 1), (29, 25), (4, 31), (26, 27), (20, 3), (3, 29), (24, 1), (24, 31), (10, 4), (20, 12), (14, 4), (5, 14), (21, 32), (7, 10), (13, 3), (20, 20), (28, 32), (16, 27), (3, 3), (28, 20), (2, 20), (20, 0), (19, 13), (17, 12), (14, 32), (30, 12), (31, 1), (20, 15), (4, 22), (9, 16), (21, 9), (9, 31), (21, 14), (10, 28), (8, 3), (29, 29), (22, 12), (19, 3), (11, 32), (20, 9), (9, 28), (8, 11), (19, 30), (28, 5), (12, 8), (15, 29), (2, 13), (6, 25), (16, 8), (26, 0), (19, 19), (11, 22), (25, 17), (7, 31), (28, 19), (11, 14), (2, 16), (16, 13), (1, 0), (10, 18), (21, 25), (11, 16), (15, 4), (29, 4), (25, 15), (13, 21), (20, 4), (23, 32), (22, 26), (24, 32), (31, 10), (21, 15), (27, 1), (27, 8), (21, 3), (5, 13), (18, 22), (19, 21), (16, 24), (0, 25), (31, 7), (28, 21), (6, 8), (8, 1), (27, 11), (13, 20), (21, 16), (15, 9), (15, 24), (29, 11), (0, 9), (20, 5), (17, 6), (16, 11), (24, 18), (16, 3), (0, 7), (22, 18), (7, 30), (0, 31), (9, 0), (2, 28), (27, 10), (19, 29), (7, 26), (6, 28), (17, 2), (23, 7), (4, 6), (4, 16), (31, 13), (18, 18), (16, 28), (21, 21), (15, 5), (15, 1), (31, 22), (29, 22), (13, 18), (18, 27), (0, 27), (25, 11), (8, 8), (6, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 4), (4, 4), (2, 26), (23, 8), (13, 16), (25, 9), (11, 9), (29, 10), (31, 24), (20, 35), (25, 3), (25, 29), (28, 21), (7, 0), (30, 10), (18, 35), (15, 13), (4, 31), (16, 27), (26, 26), (17, 21), (10, 27), (26, 2), (14, 26), (15, 16), (25, 25), (0, 22), (8, 4), (20, 14), (12, 23), (28, 15), (18, 7), (27, 15), (13, 8), (15, 35), (28, 7), (20, 12), (5, 15), (6, 8), (7, 2), (3, 20), (19, 15), (28, 16), (28, 11), (14, 1), (9, 10), (1, 10), (1, 26), (23, 34), (25, 17), (24, 34), (26, 20), (18, 22), (5, 5), (30, 7), (19, 30), (20, 21), (17, 31), (18, 23), (23, 13), (26, 9), (19, 10), (2, 31), (9, 30), (9, 15), (8, 23), (11, 26), (24, 28), (18, 31), (2, 20), (21, 31), (13, 30), (10, 26), (26, 3), (23, 35), (7, 19), (19, 26), (21, 16), (26, 16), (9, 4), (6, 7), (6, 2), (12, 14), (7, 29), (6, 9), (13, 17), (11, 10), (0, 11), (8, 17), (27, 14), (30, 31), (7, 23), (8, 29), (3, 6), (5, 3), (16, 2), (7, 35), (2, 18), (10, 13), (28, 1), (6, 16), (31, 30), (20, 20), (9, 2), (20, 30), (28, 28), (14, 24), (8, 30), (21, 30), (3, 2), (24, 2), (21, 24), (9, 23), (20, 11), (1, 2), (8, 27), (9, 33), (9, 17), (9, 25), (28, 9), (13, 34), (19, 7), (1, 8), (7, 5), (13, 20), (7, 31), (17, 13), (29, 30), (25, 33), (9, 9), (31, 22), (6, 28), (8, 10), (19, 4), (7, 25), (19, 22), (27, 30), (18, 17), (3, 32), (2, 27), (11, 30), (30, 1), (7, 4), (21, 0), (8, 21), (28, 19), (5, 24), (5, 17), (20, 29), (24, 15), (7, 21), (12, 32), (7, 32), (11, 3), (12, 3), (0, 18), (18, 10), (13, 28), (27, 2), (28, 17), (1, 13), (26, 30), (16, 6), (6, 15), (3, 1), (29, 28), (8, 34), (2, 35), (8, 32), (10, 21), (17, 35), (8, 2), (27, 11), (25, 15), (15, 26), (27, 1), (4, 12), (11, 12), (15, 3), (5, 12), (28, 32), (26, 34), (1, 34), (18, 3), (15, 23), (16, 31), (26, 15), (16, 23), (21, 1), (25, 2), (1, 5), (2, 34), (28, 33), (14, 14), (9, 14), (0, 35), (13, 6), (23, 18), (17, 20), (29, 14), (30, 6), (3, 15), (6, 22), (27, 23), (11, 2), (19, 2), (4, 0), (13, 23), (20, 1), (23, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 34x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 26), (25, 16), (12, 24), (29, 7), (26, 25), (3, 17), (26, 13), (3, 22), (21, 0), (32, 32), (23, 33), (22, 11), (11, 12), (26, 30), (18, 10), (29, 18), (19, 8), (13, 6), (5, 28), (25, 32), (19, 6), (21, 10), (4, 22), (13, 24), (16, 17), (13, 12), (32, 10), (16, 31), (21, 15), (4, 11), (30, 8), (4, 21), (23, 16), (15, 9), (9, 13), (9, 9), (19, 26), (13, 22), (21, 31), (2, 31), (32, 27), (11, 15), (22, 19), (32, 30), (29, 16), (31, 31), (26, 5), (28, 9), (27, 24), (19, 22), (7, 22), (27, 21), (29, 20), (22, 8), (20, 8), (12, 31), (19, 24), (11, 10), (21, 11), (1, 10), (0, 25), (30, 32), (11, 0), (21, 24), (23, 19), (3, 8), (29, 8), (3, 4), (8, 3), (27, 5), (2, 24), (5, 26), (6, 17), (1, 12), (8, 26), (26, 1), (15, 18), (27, 1), (5, 20), (23, 23), (1, 7), (9, 22), (29, 28), (15, 15), (15, 21), (19, 19), (25, 27), (18, 9), (3, 18), (3, 27), (10, 0), (23, 10), (24, 29), (16, 25), (30, 25), (25, 15), (24, 27), (7, 10), (23, 7), (5, 0), (33, 4), (11, 14), (29, 14), (17, 1), (1, 8), (12, 30), (23, 2), (7, 29), (14, 11), (22, 24), (14, 27), (10, 27), (22, 13), (21, 17), (32, 2), (8, 4), (14, 8), (5, 30), (31, 25), (24, 16), (7, 16), (26, 14), (22, 16), (1, 22), (13, 28), (8, 30), (0, 15), (32, 9), (17, 3), (9, 25), (15, 2), (2, 7), (28, 31), (0, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 39x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 1), (19, 5), (30, 34), (11, 31), (18, 12), (32, 34), (27, 34), (31, 5), (35, 1), (9, 35), (12, 32), (23, 22), (13, 1), (14, 2), (14, 8), (4, 23), (5, 26), (8, 6), (14, 19), (12, 11), (27, 26), (25, 24), (13, 27), (17, 22), (13, 25), (6, 30), (31, 35), (32, 28), (28, 32), (28, 22), (16, 25), (28, 3), (5, 29), (23, 26), (0, 12), (27, 16), (17, 15), (12, 30), (36, 13), (36, 20), (32, 2), (36, 34), (32, 24), (32, 27), (6, 16), (4, 21), (22, 30), (11, 15), (32, 22), (26, 2), (3, 16), (38, 3), (2, 6), (29, 22), (2, 28), (16, 38), (19, 11), (20, 12), (25, 8), (13, 37), (27, 19), (4, 35), (38, 4), (10, 27), (33, 3), (33, 38), (26, 24), (15, 14), (0, 37), (8, 29), (11, 9), (14, 10), (27, 31), (13, 2), (34, 22), (4, 16), (26, 12), (28, 30), (12, 25), (18, 24), (35, 25), (19, 13), (18, 4), (19, 4), (35, 10), (0, 4), (10, 9), (38, 5), (32, 6), (25, 30), (24, 0), (24, 20), (0, 16), (34, 19), (11, 8), (33, 24), (38, 16), (30, 35), (33, 33), (7, 20), (6, 23), (21, 26), (14, 30), (16, 11), (2, 30), (37, 8), (10, 19), (34, 32), (25, 17), (12, 23), (4, 9), (8, 1), (38, 9), (25, 16), (35, 0), (6, 1), (4, 12), (24, 32), (11, 20), (20, 6), (9, 28), (12, 37), (11, 23), (17, 33), (24, 30), (36, 0), (20, 7), (13, 38), (26, 22), (9, 31), (31, 24), (27, 22), (23, 37), (25, 35), (0, 26), (0, 28), (27, 35), (2, 26), (1, 13), (24, 14), (26, 16), (20, 0), (35, 5), (20, 13), (32, 9), (1, 7), (0, 1), (12, 21), (3, 38), (25, 9), (16, 17), (34, 24), (13, 6), (6, 18), (20, 27), (0, 6), (28, 35), (38, 0), (33, 25), (34, 4), (31, 18), (8, 31), (21, 27), (11, 37), (23, 16), (24, 9), (35, 18), (28, 37), (18, 21), (3, 18), (12, 28), (35, 32), (6, 7), (38, 27), (7, 35), (0, 34), (29, 1), (14, 24), (14, 15), (5, 2), (5, 12), (0, 13), (11, 22), (5, 25), (21, 16), (32, 25), (14, 31), (38, 8), (21, 18), (14, 7), (7, 25), (35, 29), (38, 35), (18, 34), (19, 33), (4, 14), (3, 1), (18, 18), (11, 25), (25, 0), (10, 17), (38, 14), (10, 36), (0, 2), (20, 32), (2, 36), (24, 38), (22, 12), (5, 33), (16, 31), (6, 5), (36, 7), (31, 27), (2, 32), (36, 8), (7, 37), (20, 36), (3, 7), (22, 2), (16, 30), (11, 18), (24, 12), (23, 17), (30, 29), (11, 21), (38, 18), (34, 3), (3, 26), (35, 11), (35, 3), (16, 2), (37, 16), (0, 20), (11, 33), (3, 0), (25, 28), (5, 28), (15, 2), (29, 16), (28, 28), (13, 26), (23, 33), (25, 14), (14, 38), (38, 2), (36, 23), (22, 26), (30, 15), (22, 32), (19, 26), (8, 22), (28, 21), (14, 3), (37, 18), (28, 29), (33, 35), (18, 26), (6, 35), (12, 6), (21, 28), (36, 29), (37, 0), (20, 1), (37, 32), (27, 28), (35, 4), (10, 31), (13, 16), (33, 9), (5, 19), (30, 32), (2, 7), (37, 1), (29, 5), (21, 20), (19, 35), (19, 1), (18, 32), (7, 36), (29, 23), (19, 15), (13, 35), (4, 6), (3, 30), (24, 34), (19, 14), (18, 37)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 8), (19, 5), (9, 10), (18, 28), (29, 11), (24, 11), (0, 21), (1, 13), (30, 28), (8, 4), (11, 27), (12, 23), (8, 21), (24, 8), (10, 9), (3, 15), (33, 27), (10, 3), (4, 4), (25, 13), (30, 0), (24, 1), (3, 8), (22, 19), (29, 15), (7, 26), (17, 33), (12, 32), (26, 27), (6, 12), (9, 28), (32, 32), (7, 15), (3, 6), (24, 30), (19, 30), (13, 16), (33, 33), (28, 33), (29, 12), (23, 2), (33, 25), (27, 7), (30, 21), (27, 0), (0, 30), (15, 30), (26, 32), (6, 5), (34, 21), (31, 8), (16, 17), (33, 9), (32, 3), (11, 28), (33, 31), (12, 5), (1, 26), (13, 1), (32, 11), (3, 28), (0, 31), (8, 7), (33, 1), (30, 14), (10, 21), (33, 3), (16, 7), (14, 13), (23, 13), (15, 7), (2, 15), (26, 20), (6, 10), (3, 13), (11, 19), (31, 22), (14, 18), (24, 12), (15, 10), (22, 12), (35, 16), (16, 11), (4, 31), (29, 17), (25, 3), (15, 31), (23, 17), (3, 5), (3, 16), (7, 31), (9, 16), (24, 22), (15, 15), (12, 16), (21, 26), (26, 28), (24, 20), (2, 2), (13, 17), (12, 8), (23, 10), (8, 25), (23, 26), (19, 32), (14, 32), (1, 7), (32, 6), (33, 2), (4, 3), (34, 8), (22, 6), (30, 15), (9, 33), (18, 2), (24, 24), (3, 7), (13, 13), (17, 18), (20, 7), (25, 9), (9, 0), (22, 24), (17, 15), (28, 16), (12, 22), (24, 14), (33, 30), (0, 7), (11, 16), (34, 24), (13, 26), (11, 26), (3, 29), (26, 6), (14, 4), (12, 24), (20, 24), (24, 33), (5, 17), (13, 14), (0, 15), (4, 20), (32, 20), (21, 18), (30, 10), (12, 26), (33, 21), (32, 21), (34, 33), (1, 5), (1, 27), (27, 4), (5, 13), (1, 22), (27, 15), (33, 19), (14, 14), (34, 31), (2, 0), (30, 8), (12, 20), (10, 22), (27, 28), (24, 21), (22, 27), (25, 15), (33, 5), (18, 32), (15, 33), (21, 5), (34, 27), (5, 24), (11, 21), (29, 33), (27, 1), (6, 0), (31, 3), (1, 2), (8, 33), (25, 31), (4, 23), (19, 10), (16, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 27), (17, 14), (9, 8), (22, 29), (10, 26), (33, 21), (33, 6), (3, 18), (8, 19), (33, 14), (3, 15), (19, 18), (11, 22), (16, 22), (12, 31), (3, 6), (26, 14), (16, 24), (34, 25), (2, 4), (15, 18), (10, 16), (17, 11), (3, 24), (10, 10), (20, 22), (7, 27), (2, 5), (25, 30), (25, 17), (2, 29), (20, 31), (31, 8), (26, 7), (14, 11), (23, 24), (23, 18), (23, 3), (22, 4), (9, 2), (15, 22), (0, 29), (1, 19), (17, 12), (12, 11), (30, 11), (25, 7), (4, 21), (17, 25), (12, 0), (23, 14), (8, 13), (2, 23), (2, 31), (26, 30), (22, 22), (30, 9), (7, 7), (5, 18), (17, 17), (7, 31), (14, 18), (32, 0), (5, 16), (24, 5), (33, 25), (19, 21), (32, 31), (27, 27), (21, 2), (29, 10), (5, 24), (19, 15), (31, 27), (16, 9), (8, 26), (7, 10), (21, 16), (15, 5), (2, 15), (14, 19), (3, 10), (23, 25), (8, 15), (16, 15), (0, 20), (19, 25), (25, 31), (16, 23), (25, 5), (7, 19), (30, 10), (16, 29), (25, 23), (28, 23), (2, 6), (23, 17), (7, 14), (26, 21), (1, 6), (28, 8), (23, 23), (24, 13), (5, 6), (13, 2), (21, 19), (29, 31), (6, 13), (34, 6), (16, 16), (31, 20), (5, 19), (24, 24), (0, 22), (12, 26), (11, 13), (33, 23), (27, 26), (20, 4), (28, 16), (9, 14), (7, 28), (8, 12), (33, 10), (7, 12), (7, 4), (33, 27), (26, 2), (9, 6), (25, 3), (31, 5), (2, 19), (7, 5), (31, 11), (5, 28), (19, 0), (20, 23), (16, 5), (9, 28), (29, 16), (9, 19), (13, 23), (24, 15), (4, 7), (5, 8), (26, 18), (5, 14), (1, 31), (14, 20), (4, 25), (2, 7), (8, 18), (12, 2), (18, 13), (24, 23), (16, 14), (15, 21), (19, 23), (13, 21), (23, 0), (15, 4), (34, 20), (1, 12), (10, 7), (0, 13), (9, 27), (27, 23), (4, 17), (1, 25), (17, 19), (23, 7), (2, 22), (32, 22), (24, 22), (22, 26), (26, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 24), (13, 24), (25, 4), (24, 22), (5, 14), (11, 7), (27, 18), (18, 1), (7, 18), (1, 19), (1, 23), (18, 11), (10, 9), (10, 29), (23, 29), (5, 23), (16, 13), (16, 23), (22, 7), (30, 4), (32, 16), (30, 18), (21, 6), (36, 15), (0, 9), (36, 7), (17, 32), (2, 28), (7, 21), (31, 17), (30, 28), (33, 21), (13, 14), (5, 30), (27, 5), (36, 6), (23, 23), (26, 29), (35, 16), (26, 9), (30, 1), (23, 20), (26, 31), (30, 23), (30, 24), (5, 26), (13, 10), (28, 33), (9, 32), (33, 9), (30, 12), (4, 3), (9, 18), (20, 7), (29, 24), (36, 27), (27, 27), (17, 6), (8, 9), (29, 13), (15, 19), (23, 28), (36, 10), (29, 18), (10, 27), (8, 24), (16, 32), (21, 31), (2, 33), (32, 22), (18, 30), (20, 21), (3, 14), (17, 28), (15, 30), (12, 8), (9, 17), (17, 3), (27, 9), (20, 9), (8, 23), (34, 5), (0, 24), (23, 1), (28, 3), (18, 13), (4, 20), (20, 16), (21, 32), (4, 14), (7, 15), (6, 5), (28, 9), (9, 29), (34, 32), (32, 3), (7, 25), (4, 30), (23, 26), (24, 0), (35, 2), (34, 9), (11, 30), (5, 21), (22, 15), (36, 12), (14, 4), (0, 27), (34, 10), (24, 17), (28, 24), (0, 6), (11, 9), (10, 17), (33, 32), (3, 21), (27, 33), (14, 32), (14, 30), (11, 25), (34, 31), (33, 23), (12, 33), (24, 33), (19, 22), (13, 22), (9, 9), (30, 33), (26, 14), (25, 3), (26, 19), (19, 0), (11, 4), (33, 11), (36, 13), (1, 11), (12, 21), (31, 11), (33, 20), (5, 18), (17, 23), (33, 17), (29, 8), (6, 15), (22, 25), (21, 21), (11, 3), (10, 15), (3, 2), (25, 31), (6, 16), (10, 28), (26, 25), (4, 0), (4, 4), (27, 11), (23, 27), (20, 15), (26, 26), (24, 30), (8, 25), (5, 16), (10, 23), (5, 13), (19, 5), (16, 7), (9, 23), (17, 2), (32, 2), (13, 12), (20, 6), (14, 13), (15, 20), (35, 29), (32, 4), (19, 15), (23, 2), (4, 32), (19, 18), (8, 7), (28, 21), (7, 30), (30, 2), (22, 30), (14, 14), (18, 18), (1, 28), (4, 6), (20, 11), (1, 4), (4, 7), (1, 26), (6, 8), (26, 30), (31, 4), (26, 1), (7, 7), (8, 26), (10, 26), (13, 29), (12, 31), (13, 17), (1, 33), (18, 19), (30, 32), (14, 17), (16, 15), (14, 26), (4, 1), (5, 22), (6, 13), (7, 12), (10, 12), (13, 3), (26, 20), (6, 7), (26, 16), (10, 20), (29, 10), (16, 0), (19, 31), (16, 6), (21, 7), (20, 10), (25, 17), (13, 7), (9, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 38x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 24), (33, 31), (31, 12), (35, 12), (17, 18), (10, 23), (23, 21), (15, 23), (11, 21), (34, 15), (24, 12), (25, 6), (26, 15), (31, 28), (26, 22), (17, 5), (1, 14), (26, 25), (30, 6), (1, 22), (18, 33), (3, 14), (14, 24), (31, 25), (9, 5), (9, 7), (22, 26), (17, 28), (10, 7), (7, 1), (7, 32), (26, 13), (20, 21), (7, 22), (37, 25), (4, 20), (34, 25), (3, 2), (37, 22), (6, 26), (5, 2), (31, 21), (12, 34), (12, 11), (32, 7), (23, 12), (6, 25), (8, 16), (28, 24), (34, 1), (19, 33), (15, 6), (20, 20), (36, 16), (10, 18), (9, 31), (20, 4), (25, 10), (7, 8), (15, 33), (35, 2), (17, 22), (23, 11), (4, 6), (4, 28), (33, 12), (24, 13), (25, 28), (25, 29), (36, 13), (24, 29), (13, 15), (23, 32), (3, 9), (27, 13), (27, 30), (22, 18), (14, 17), (27, 9), (4, 27), (36, 15), (34, 22), (0, 31), (34, 28), (27, 6), (11, 26), (14, 8), (26, 32), (24, 30), (1, 31), (5, 31), (16, 4), (10, 21), (19, 8), (35, 7), (36, 22), (1, 30), (16, 26), (3, 23), (27, 19), (20, 17), (14, 18), (24, 9), (10, 28), (19, 4), (2, 0), (31, 19), (8, 1), (34, 14), (21, 19), (31, 0), (33, 15), (26, 31), (8, 20), (10, 33), (18, 15), (3, 25), (6, 13), (4, 8), (31, 24), (32, 10), (2, 32), (2, 5), (19, 26), (24, 0), (26, 1), (14, 7), (11, 18), (16, 17), (19, 10), (3, 29), (9, 18), (28, 21), (28, 12), (16, 24), (14, 6), (28, 27), (35, 0), (28, 14), (13, 17), (29, 28), (15, 11), (8, 26), (16, 29), (11, 29), (22, 0), (34, 10), (37, 12), (37, 32), (7, 4), (30, 11), (31, 27), (20, 31), (0, 17), (34, 23), (28, 20), (17, 3), (36, 4), (17, 24), (15, 14), (3, 26), (8, 32), (9, 12), (28, 2), (25, 24), (29, 27), (9, 19), (34, 27), (29, 33), (7, 26), (37, 31), (36, 7), (13, 26), (26, 17), (32, 20), (23, 8), (7, 14), (30, 0), (7, 10), (6, 27), (0, 23), (3, 18), (9, 2), (21, 21), (23, 3), (6, 8), (12, 26), (34, 13), (18, 5), (33, 13), (27, 12), (32, 16), (0, 30), (36, 2), (32, 25), (34, 32), (14, 16), (7, 18), (6, 11), (2, 24), (22, 15), (4, 33), (17, 31), (32, 27), (21, 4), (17, 32), (35, 4), (9, 10), (1, 25), (18, 17), (12, 2), (28, 32), (27, 24), (26, 18), (24, 20), (31, 5), (22, 13), (8, 11), (25, 26), (20, 27), (4, 2), (36, 5), (4, 15), (4, 29), (11, 33), (17, 14), (2, 26), (21, 20), (24, 11), (37, 16), (36, 19), (32, 8), (11, 3), (36, 17), (15, 16), (28, 30), (24, 17), (19, 16), (36, 9), (32, 6), (24, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 28), (3, 6), (1, 31), (24, 2), (12, 6), (21, 28), (2, 5), (6, 27), (25, 5), (32, 31), (29, 10), (19, 25), (11, 32), (17, 17), (29, 11), (33, 10), (29, 2), (33, 27), (6, 24), (22, 31), (9, 18), (33, 24), (15, 31), (19, 15), (21, 3), (31, 4), (23, 10), (12, 9), (13, 6), (24, 0), (3, 12), (34, 3), (21, 6), (21, 4), (16, 5), (10, 28), (17, 28), (8, 14), (17, 4), (5, 8), (20, 4), (27, 20), (21, 14), (32, 30), (25, 15), (19, 24), (7, 19), (9, 3), (1, 18), (21, 7), (20, 15), (34, 26), (8, 1), (18, 26), (27, 28), (11, 0), (16, 21), (16, 30), (33, 31), (23, 17), (3, 11), (6, 4), (9, 16), (13, 15), (24, 12), (19, 14), (22, 28), (1, 2), (22, 10), (17, 12), (18, 28), (12, 0), (7, 15), (6, 23), (27, 16), (13, 23), (21, 1), (30, 14), (28, 10), (1, 24), (0, 11), (16, 0), (8, 17), (11, 29), (17, 23), (24, 10), (11, 8), (18, 10), (8, 8), (23, 27), (19, 6), (2, 1), (19, 12), (4, 23), (25, 4), (33, 12), (13, 1), (22, 9), (22, 6), (20, 0), (19, 19), (28, 1), (16, 8), (29, 31), (5, 12), (7, 26), (18, 22), (25, 30), (32, 9), (22, 14), (16, 11), (24, 31), (25, 20), (25, 21), (23, 22), (31, 10), (23, 23), (31, 5), (4, 3), (17, 14), (33, 20), (14, 27), (24, 8), (12, 20), (5, 10), (20, 25), (5, 17), (33, 25), (6, 2), (15, 5), (29, 26), (18, 9), (16, 23), (8, 30), (31, 25), (2, 30), (28, 16), (27, 9), (14, 9), (20, 3), (9, 7), (8, 9), (23, 0), (1, 27), (17, 22), (13, 9), (7, 18), (13, 3), (15, 1), (11, 5), (20, 7), (10, 13), (8, 10), (8, 15), (21, 9), (26, 32), (23, 31), (13, 30), (7, 27), (5, 3), (21, 26), (15, 6), (24, 30), (11, 16), (34, 4), (13, 0), (19, 20), (34, 0), (0, 3), (28, 7), (15, 17), (26, 22), (18, 6), (19, 31), (27, 23), (7, 7), (12, 11), (4, 22), (2, 11), (4, 18), (26, 31), (31, 11), (22, 24), (15, 16), (1, 11), (34, 20), (7, 9), (20, 6), (7, 32), (18, 0), (27, 30), (25, 31), (15, 18), (9, 19), (13, 11), (5, 23), (21, 12), (16, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (36, 22), (13, 21), (9, 14), (26, 38), (28, 38), (35, 16), (1, 27), (12, 32), (32, 33), (23, 3), (24, 6), (15, 27), (29, 4), (12, 26), (35, 20), (11, 11), (21, 37), (13, 15), (12, 10), (33, 3), (3, 38), (8, 22), (7, 36), (16, 26), (23, 27), (12, 25), (21, 30), (11, 4), (1, 5), (11, 14), (7, 26), (10, 6), (1, 19), (27, 28), (27, 26), (24, 17), (21, 6), (29, 14), (36, 32), (35, 30), (2, 23), (11, 35), (20, 0), (27, 6), (19, 4), (13, 23), (5, 31), (32, 36), (6, 22), (5, 13), (22, 9), (7, 31), (6, 30), (11, 38), (34, 8), (22, 29), (35, 22), (32, 14), (27, 1), (29, 10), (25, 35), (5, 8), (20, 26), (24, 12), (5, 32), (15, 4), (24, 36), (30, 28), (11, 13), (35, 37), (12, 1), (11, 6), (34, 16), (22, 17), (4, 28), (9, 32), (25, 32), (28, 13), (15, 35), (37, 13), (20, 37), (0, 7), (10, 19), (17, 35), (35, 7), (19, 14), (32, 17), (8, 27), (36, 0), (18, 32), (16, 38), (11, 22), (9, 34), (18, 12), (27, 23), (22, 10), (25, 31), (10, 9), (26, 28), (18, 25), (28, 29), (16, 9), (23, 19), (24, 34), (12, 23), (3, 17), (25, 29), (21, 17), (18, 2), (24, 33), (8, 20), (30, 6), (32, 11), (0, 23), (12, 8), (7, 20), (8, 16), (27, 7), (4, 14), (11, 23), (20, 19), (35, 36), (8, 2), (6, 12), (7, 14), (9, 13), (17, 23), (37, 26), (11, 8), (36, 7), (37, 10), (2, 34), (37, 23), (2, 9), (25, 19), (26, 3), (32, 21), (5, 1), (11, 1), (0, 6), (22, 33), (25, 34), (26, 5), (2, 19), (10, 33), (15, 15), (21, 28), (22, 5), (7, 22), (13, 6), (10, 22), (34, 30), (7, 18), (21, 4), (8, 28), (31, 22), (7, 29), (6, 0), (14, 10), (1, 3), (4, 23), (14, 18), (23, 20), (31, 30), (2, 15), (23, 11), (30, 3), (25, 9), (17, 6), (21, 0), (15, 18), (11, 5), (35, 34), (21, 21), (34, 23), (29, 15), (7, 8), (12, 28), (27, 14), (28, 14), (21, 38), (0, 20), (21, 3), (23, 7), (18, 10), (5, 2), (20, 14), (32, 27), (10, 24), (33, 18), (36, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 11), (26, 25), (12, 7), (0, 23), (21, 7), (18, 28), (9, 17), (14, 28), (13, 21), (27, 33), (19, 21), (17, 30), (2, 1), (9, 26), (28, 7), (1, 1), (4, 21), (24, 12), (0, 8), (1, 9), (0, 29), (11, 0), (20, 27), (15, 24), (18, 8), (1, 2), (24, 25), (14, 18), (23, 2), (4, 5), (12, 1), (21, 9), (2, 4), (26, 28), (26, 3), (16, 0), (16, 23), (13, 1), (18, 26), (21, 1), (20, 6), (23, 26), (1, 12), (26, 35), (6, 37), (14, 25), (12, 28), (4, 26), (10, 5), (27, 38), (21, 37), (14, 17), (29, 37), (24, 3), (12, 38), (26, 20), (29, 4), (12, 33), (6, 18), (22, 21), (7, 9), (28, 6), (10, 35), (25, 10), (29, 17), (1, 37), (11, 13), (22, 2), (11, 25), (13, 11), (22, 10), (1, 31), (29, 21), (16, 37), (23, 18), (17, 6), (22, 8), (8, 33), (28, 3), (7, 35), (19, 24), (18, 2), (6, 1), (7, 36), (8, 6), (14, 5), (28, 29), (7, 4), (17, 5), (26, 11), (18, 6), (27, 29), (24, 21), (21, 8), (10, 31), (17, 8), (8, 24), (13, 30), (15, 32), (2, 9), (8, 34), (20, 17), (10, 1), (8, 2), (26, 15), (23, 14), (15, 29), (11, 27), (12, 24), (25, 23), (9, 10), (17, 24), (13, 24), (17, 26), (26, 5), (16, 35), (11, 32), (22, 13), (17, 27), (12, 29), (20, 4), (25, 1), (26, 30), (1, 8), (8, 22), (27, 20), (27, 35), (15, 17), (12, 32), (1, 23), (12, 34), (4, 25), (21, 32), (26, 16), (0, 12), (17, 37), (7, 3), (1, 14), (15, 14), (26, 1), (19, 25), (19, 27), (9, 34), (6, 24), (20, 9), (8, 28), (23, 3), (13, 5), (14, 27), (29, 31), (24, 10), (15, 5), (6, 27), (19, 36), (19, 19), (11, 2), (25, 35), (19, 29), (18, 1), (11, 34), (23, 5), (21, 30), (20, 3), (1, 32), (19, 8), (26, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 16), (24, 4), (30, 24), (13, 34), (1, 19), (3, 33), (1, 5), (23, 4), (25, 37), (17, 24), (1, 1), (27, 2), (12, 31), (0, 7), (11, 23), (3, 27), (1, 29), (29, 10), (7, 32), (14, 13), (11, 19), (7, 35), (21, 8), (21, 16), (5, 5), (18, 34), (17, 10), (19, 29), (8, 10), (20, 33), (27, 32), (11, 15), (17, 13), (31, 1), (25, 3), (2, 22), (27, 30), (17, 29), (5, 33), (10, 21), (26, 32), (13, 24), (8, 32), (16, 2), (8, 17), (16, 5), (1, 7), (22, 0), (11, 25), (19, 33), (16, 24), (0, 28), (32, 26), (24, 3), (6, 14), (28, 28), (22, 24), (7, 11), (3, 16), (8, 20), (1, 0), (11, 37), (3, 34), (19, 19), (29, 26), (11, 12), (20, 29), (25, 4), (18, 13), (13, 27), (0, 19), (32, 25), (10, 33), (25, 27), (5, 20), (8, 34), (5, 8), (29, 8), (6, 22), (27, 37), (23, 23), (31, 9), (16, 13), (13, 16), (27, 8), (12, 21), (29, 18), (15, 23), (15, 8), (1, 37), (3, 4), (18, 18), (11, 2), (10, 23), (12, 6), (27, 29), (6, 8), (31, 30), (22, 12), (17, 30), (21, 29), (18, 23), (13, 25), (23, 30), (32, 28), (13, 2), (27, 15), (12, 0), (23, 29), (18, 1), (31, 29), (15, 30), (1, 12), (32, 18), (21, 17), (3, 24), (12, 33), (30, 28), (23, 25), (26, 28), (26, 14), (4, 26), (14, 6), (1, 17), (25, 19), (14, 33), (25, 0), (8, 9), (28, 26), (5, 4), (0, 5), (13, 28), (7, 18), (20, 21), (31, 26), (11, 35), (22, 15), (10, 15), (5, 15), (19, 30), (11, 22), (20, 1), (31, 35), (14, 18), (22, 17), (19, 18), (9, 21), (24, 29), (31, 3), (11, 17), (30, 0), (27, 14), (12, 16), (9, 36), (6, 37), (21, 3), (29, 15), (32, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 11), (19, 18), (0, 9), (22, 33), (2, 26), (18, 4), (26, 1), (4, 7), (3, 30), (8, 24), (3, 9), (16, 5), (7, 33), (8, 33), (2, 21), (26, 16), (11, 18), (11, 4), (32, 1), (13, 13), (19, 19), (9, 7), (19, 6), (22, 29), (0, 21), (2, 9), (32, 8), (8, 32), (7, 17), (33, 23), (9, 11), (4, 12), (6, 25), (1, 23), (11, 32), (11, 28), (3, 32), (20, 9), (8, 29), (28, 19), (11, 1), (24, 25), (3, 25), (33, 30), (26, 32), (28, 8), (1, 16), (9, 32), (1, 2), (8, 1), (22, 23), (7, 23), (5, 3), (11, 7), (0, 26), (23, 26), (31, 25), (3, 23), (13, 19), (20, 31), (1, 17), (4, 6), (1, 31), (24, 24), (11, 13), (19, 14), (4, 30), (20, 19), (4, 29), (14, 33), (22, 17), (10, 8), (2, 22), (33, 28), (0, 24), (31, 33), (32, 3), (13, 33), (20, 8), (18, 26), (1, 14), (23, 23), (9, 15), (12, 1), (26, 25), (25, 16), (21, 33), (21, 4), (23, 22), (33, 0), (22, 25), (17, 28), (6, 7), (7, 9), (11, 5), (11, 25), (12, 26), (4, 15), (19, 32), (25, 13), (2, 15), (31, 24), (10, 11), (27, 23), (7, 28), (6, 5), (11, 12), (10, 20), (2, 29), (14, 20), (11, 6), (21, 28), (33, 3), (6, 14), (13, 9), (11, 31), (14, 15), (6, 21), (32, 31), (15, 15), (3, 26), (23, 29), (17, 7), (10, 2), (3, 27), (19, 25), (23, 17), (13, 1), (21, 24), (28, 10), (31, 3), (5, 26), (32, 17), (20, 12), (3, 21), (26, 23), (12, 10), (17, 15), (28, 2), (4, 22), (33, 13), (2, 0), (0, 8), (8, 13), (6, 4), (13, 15), (29, 23), (15, 16), (12, 13), (10, 32), (6, 19), (7, 30), (2, 4), (23, 19), (15, 11), (8, 22), (18, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 32x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 23), (9, 21), (8, 12), (24, 19), (30, 11), (6, 3), (7, 22), (23, 23), (3, 10), (29, 9), (18, 29), (6, 30), (14, 22), (14, 12), (9, 16), (2, 8), (2, 3), (18, 24), (23, 8), (8, 32), (4, 29), (9, 26), (17, 18), (12, 24), (20, 25), (14, 3), (18, 2), (25, 25), (6, 4), (31, 2), (25, 22), (6, 6), (11, 31), (4, 32), (12, 20), (25, 31), (8, 25), (22, 18), (9, 18), (18, 26), (31, 22), (21, 7), (31, 17), (10, 15), (18, 31), (4, 15), (10, 21), (6, 1), (26, 20), (13, 27), (28, 19), (16, 1), (12, 1), (15, 14), (10, 11), (15, 6), (29, 26), (1, 14), (18, 9), (15, 32), (27, 13), (22, 17), (31, 1), (9, 15), (27, 16), (4, 27), (14, 5), (23, 18), (13, 0), (24, 31), (28, 21), (16, 4), (25, 9), (17, 6), (10, 7), (25, 14), (11, 27), (19, 10), (6, 5), (23, 32), (28, 16), (22, 28), (23, 7), (11, 8), (22, 12), (24, 26), (25, 5), (19, 8), (29, 12), (1, 17), (23, 28), (6, 13), (27, 7), (28, 8), (6, 22), (16, 0), (4, 7), (13, 16), (20, 7), (2, 1), (27, 26), (3, 18), (28, 4), (0, 9), (29, 25), (28, 24), (4, 19), (14, 29), (8, 29), (19, 15), (31, 28), (20, 16), (5, 19), (21, 28), (28, 10), (1, 27), (26, 30), (22, 31), (4, 2), (8, 10), (1, 19), (19, 4), (3, 8), (23, 31), (29, 28), (19, 26), (2, 32), (20, 15), (15, 1), (26, 25), (3, 6), (4, 3), (19, 5), (3, 9), (7, 1), (15, 3), (0, 13), (26, 26), (14, 10), (18, 14), (6, 10), (14, 24), (31, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 5), (33, 14), (6, 16), (18, 26), (24, 19), (19, 3), (15, 16), (18, 0), (4, 28), (4, 1), (32, 30), (11, 9), (5, 10), (30, 6), (32, 10), (10, 29), (28, 30), (29, 11), (22, 2), (11, 8), (25, 29), (11, 28), (21, 16), (24, 1), (17, 4), (15, 21), (3, 28), (7, 18), (6, 10), (28, 24), (31, 19), (32, 5), (14, 19), (23, 2), (11, 6), (29, 26), (16, 26), (11, 30), (27, 3), (23, 27), (29, 16), (13, 30), (31, 27), (21, 24), (29, 27), (33, 2), (32, 26), (4, 5), (6, 25), (31, 17), (13, 13), (5, 20), (0, 8), (2, 17), (30, 3), (13, 19), (34, 8), (5, 3), (6, 22), (3, 29), (19, 11), (18, 13), (1, 17), (2, 3), (15, 30), (23, 22), (28, 15), (13, 21), (31, 20), (5, 30), (16, 6), (20, 8), (3, 16), (13, 1), (10, 30), (29, 13), (28, 16), (34, 25), (1, 25), (28, 17), (8, 13), (19, 28), (30, 30), (26, 13), (5, 6), (14, 24), (27, 25), (24, 9), (14, 13), (8, 20), (28, 9), (29, 15), (17, 12), (14, 1), (27, 9), (25, 10), (3, 27), (13, 27), (11, 1), (7, 3), (23, 14), (14, 21), (2, 15), (8, 2), (10, 11), (18, 22), (1, 16), (16, 25), (34, 19), (31, 5), (30, 16), (17, 28), (10, 12), (20, 7), (9, 29), (8, 11), (28, 4), (4, 2), (29, 20), (12, 10), (10, 22), (11, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 39x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 29), (12, 13), (17, 1), (10, 0), (21, 22), (8, 12), (38, 4), (32, 13), (15, 21), (28, 14), (28, 11), (4, 4), (24, 21), (24, 15), (35, 23), (18, 18), (36, 23), (15, 5), (24, 19), (22, 13), (34, 5), (25, 16), (38, 12), (30, 3), (4, 1), (8, 14), (9, 1), (33, 29), (17, 29), (21, 9), (28, 6), (1, 2), (14, 14), (25, 8), (6, 23), (16, 22), (6, 0), (22, 24), (15, 18), (21, 6), (32, 25), (24, 28), (37, 21), (34, 17), (32, 5), (0, 19), (7, 18), (23, 12), (13, 7), (5, 27), (5, 9), (34, 8), (38, 13), (8, 7), (3, 6), (37, 25), (21, 0), (26, 20), (7, 4), (30, 21), (27, 0), (22, 0), (33, 16), (5, 2), (32, 26), (27, 20), (19, 17), (10, 2), (15, 3), (31, 19), (17, 26), (3, 18), (35, 5), (16, 18), (20, 14), (20, 1), (3, 8), (36, 13), (3, 20), (0, 10), (29, 14), (26, 24), (10, 17), (5, 15), (17, 16), (8, 19), (2, 23), (34, 28), (29, 16), (10, 14), (35, 15), (7, 7), (11, 16), (20, 4), (1, 6), (9, 3), (4, 28), (9, 18), (36, 18), (3, 26), (22, 5), (0, 16), (27, 22), (30, 5), (21, 29), (4, 26), (19, 0), (33, 4), (27, 18), (15, 23), (27, 26), (9, 13), (15, 20), (5, 24), (1, 4), (1, 25), (24, 26), (28, 24), (38, 14), (33, 1), (37, 26), (29, 29), (26, 6), (38, 2), (25, 9), (1, 8), (3, 29), (9, 16), (24, 5), (23, 22), (33, 5), (18, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 0), (17, 6), (17, 21), (26, 14), (27, 18), (21, 15), (8, 17), (7, 10), (19, 20), (4, 15), (10, 31), (17, 0), (17, 27), (32, 16), (9, 13), (16, 17), (32, 17), (2, 30), (25, 25), (14, 31), (8, 7), (31, 13), (15, 30), (16, 27), (19, 8), (9, 8), (25, 5), (35, 29), (10, 15), (23, 4), (5, 16), (16, 2), (32, 21), (18, 4), (24, 17), (8, 28), (33, 7), (12, 8), (26, 26), (18, 23), (18, 25), (23, 27), (19, 28), (4, 18), (10, 27), (13, 22), (25, 23), (11, 0), (27, 13), (14, 28), (23, 25), (22, 29), (2, 7), (1, 23), (4, 17), (2, 26), (33, 25), (21, 4), (16, 25), (25, 0), (14, 13), (20, 25), (22, 18), (3, 24), (21, 27), (35, 9), (1, 18), (21, 24), (30, 9), (21, 7), (9, 30), (10, 30), (30, 15), (12, 29), (0, 5), (27, 12), (25, 18), (3, 8), (17, 8), (1, 7), (2, 19), (34, 0), (27, 29), (4, 27), (7, 3), (29, 10), (4, 31), (34, 31), (14, 10), (26, 25), (16, 22), (26, 29), (9, 17), (8, 26), (1, 31), (17, 11), (30, 10), (30, 0), (34, 28), (28, 16), (26, 24), (16, 18), (28, 17), (28, 1), (10, 6), (13, 31), (2, 22), (20, 29), (25, 22), (12, 2), (15, 11), (17, 2), (24, 11), (2, 27), (3, 13), (14, 19), (29, 19), (5, 13), (18, 31), (29, 30), (32, 10), (13, 6), (21, 17), (34, 14), (30, 3), (20, 24), (10, 29), (27, 30), (31, 7), (33, 15), (6, 13), (10, 23), (33, 1), (33, 26), (20, 9), (17, 9), (17, 10), (7, 11), (23, 26), (0, 8), (6, 18), (3, 16), (5, 5), (13, 7), (26, 21), (2, 12), (13, 15), (23, 18), (34, 22), (10, 24), (30, 17), (28, 27), (11, 8), (14, 27), (21, 22), (2, 3), (19, 18), (31, 22), (12, 26), (9, 29), (16, 16), (25, 20), (31, 21), (3, 12), (30, 7), (16, 8), (7, 27), (10, 21), (15, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 34x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 5), (12, 10), (33, 8), (20, 25), (24, 0), (21, 22), (10, 32), (27, 11), (32, 16), (15, 3), (31, 26), (29, 7), (20, 3), (27, 4), (22, 11), (0, 18), (21, 4), (15, 7), (29, 3), (9, 22), (21, 27), (31, 12), (4, 4), (16, 32), (26, 17), (18, 10), (2, 5), (25, 28), (19, 27), (11, 12), (29, 19), (6, 7), (13, 8), (24, 15), (22, 22), (2, 13), (30, 5), (33, 6), (30, 7), (3, 15), (26, 21), (21, 6), (19, 15), (12, 29), (17, 20), (30, 10), (27, 0), (33, 20), (14, 24), (25, 4), (24, 32), (33, 13), (9, 30), (7, 2), (7, 10), (16, 14), (0, 2), (33, 16), (11, 18), (9, 12), (0, 24), (16, 19), (24, 24), (7, 1), (18, 17), (16, 21), (28, 17), (1, 29), (1, 24), (1, 11), (23, 26), (23, 11), (6, 15), (8, 25), (5, 31), (7, 31), (14, 20), (19, 2), (11, 29), (11, 26), (32, 21), (8, 24), (21, 21), (5, 24), (14, 17), (30, 0), (14, 2), (25, 1), (22, 27), (4, 3), (4, 24), (12, 21), (30, 17), (19, 14), (23, 10), (1, 15), (28, 24), (5, 13), (17, 10), (23, 0), (8, 0), (20, 9), (13, 19), (26, 4), (30, 29), (9, 25), (7, 4), (4, 17), (13, 4), (7, 8), (3, 29), (28, 16), (7, 9), (25, 17), (9, 10), (18, 14), (17, 26), (28, 0), (29, 26), (30, 28), (31, 11), (17, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 17), (14, 36), (26, 23), (23, 18), (1, 9), (5, 1), (17, 26), (23, 19), (12, 25), (6, 10), (1, 31), (36, 22), (33, 26), (27, 23), (14, 1), (25, 11), (16, 17), (35, 29), (33, 16), (4, 30), (15, 21), (25, 26), (32, 22), (27, 28), (14, 9), (20, 11), (23, 11), (26, 27), (23, 35), (27, 30), (20, 7), (30, 19), (24, 6), (31, 21), (13, 27), (18, 24), (1, 19), (16, 2), (27, 0), (28, 12), (30, 16), (6, 12), (23, 12), (8, 24), (34, 32), (26, 25), (23, 25), (16, 36), (15, 0), (3, 10), (17, 20), (31, 16), (26, 29), (14, 30), (8, 20), (9, 5), (12, 26), (16, 18), (20, 32), (25, 4), (14, 15), (7, 31), (19, 23), (36, 11), (18, 35), (10, 11), (32, 23), (16, 15), (14, 25), (34, 11), (11, 24), (14, 0), (34, 26), (10, 12), (30, 36), (9, 9), (26, 1), (31, 27), (10, 0), (0, 33), (22, 14), (2, 24), (25, 28), (26, 26), (35, 1), (3, 28), (21, 15), (2, 9), (1, 21), (17, 22), (22, 12), (22, 10), (12, 35), (13, 16), (2, 16), (9, 26), (25, 13), (30, 28), (30, 34), (7, 13), (32, 14), (30, 18), (28, 32), (17, 35), (18, 9), (11, 0), (9, 4), (30, 27), (29, 2), (13, 13), (8, 15), (31, 18), (13, 11), (30, 26), (18, 20), (6, 3), (15, 34), (11, 8), (9, 35), (7, 28), (26, 14), (8, 33), (21, 27), (14, 4), (33, 11), (18, 26), (19, 25), (9, 22), (13, 7), (20, 8), (11, 23), (11, 1), (32, 28), (35, 8), (27, 1), (32, 19), (21, 36), (18, 6), (23, 36), (32, 20), (31, 7), (12, 10), (28, 15), (24, 23), (15, 17), (5, 28), (26, 12), (30, 29), (5, 34), (26, 2), (2, 12), (30, 17), (4, 6), (12, 29), (2, 35), (30, 1), (36, 21), (13, 28), (9, 29), (27, 7), (22, 30), (31, 8), (36, 14), (22, 13), (10, 13), (13, 15), (16, 30), (21, 1), (2, 10), (3, 14), (34, 30), (5, 21), (13, 12), (18, 14), (28, 8), (23, 32), (25, 23), (21, 34), (18, 30), (24, 20), (17, 17), (35, 27), (23, 3), (13, 6), (21, 12), (33, 27), (26, 34), (11, 9), (2, 14), (14, 33), (23, 22), (12, 14), (17, 15), (30, 11), (22, 31), (23, 26), (33, 18), (10, 31), (7, 18), (34, 21), (35, 22), (36, 10), (26, 24), (2, 30), (21, 28), (28, 7), (19, 29), (35, 34), (24, 16), (35, 12), (9, 14), (10, 25), (26, 35), (17, 30), (1, 15), (32, 7), (24, 3), (22, 20), (19, 14), (4, 24), (9, 10), (25, 34), (23, 29), (10, 29), (12, 21), (6, 27), (8, 11), (17, 5), (10, 5), (28, 26), (28, 11), (7, 7), (7, 15), (35, 5), (36, 25), (12, 16), (6, 5), (2, 7), (14, 29), (30, 21), (32, 18), (22, 27), (34, 33), (2, 15), (4, 33), (4, 9), (29, 21), (36, 32), (9, 31), (15, 27), (30, 31), (20, 2), (16, 3), (34, 13), (7, 27), (0, 19), (11, 34), (9, 16), (5, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 34x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 2), (3, 28), (19, 23), (19, 7), (0, 17), (10, 29), (23, 33), (11, 24), (11, 7), (27, 22), (7, 3), (12, 14), (8, 13), (4, 33), (4, 15), (4, 2), (17, 3), (18, 18), (24, 3), (22, 7), (19, 4), (31, 32), (12, 10), (4, 7), (10, 6), (24, 24), (10, 33), (33, 13), (30, 32), (14, 17), (16, 11), (8, 28), (8, 29), (9, 5), (8, 3), (13, 16), (18, 33), (14, 21), (15, 28), (14, 15), (30, 21), (3, 23), (15, 5), (30, 1), (12, 5), (10, 18), (4, 27), (9, 16), (25, 26), (16, 9), (31, 6), (7, 24), (30, 19), (14, 28), (21, 23), (3, 30), (14, 24), (25, 13), (28, 12), (1, 9), (28, 7), (29, 23), (15, 2), (17, 34), (13, 8), (22, 27), (32, 9), (15, 15), (31, 29), (9, 2), (30, 34), (7, 18), (24, 18), (30, 7), (20, 32), (21, 19), (29, 1), (25, 17), (14, 0), (6, 22), (10, 32), (26, 14), (21, 5), (20, 31), (19, 16), (23, 9), (6, 2), (21, 13), (3, 22), (20, 6), (14, 16), (26, 27), (18, 16), (23, 4), (4, 25), (9, 27), (4, 12), (4, 23), (3, 5), (24, 28), (1, 7), (25, 7), (27, 15), (19, 21), (12, 0), (29, 30), (9, 24), (32, 2), (19, 13), (14, 3), (18, 27), (22, 8), (4, 11), (31, 17), (23, 0), (28, 21), (10, 4), (7, 29), (26, 29), (5, 21), (28, 20), (6, 5), (30, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 9), (27, 22), (24, 6), (21, 26), (4, 25), (23, 9), (19, 28), (19, 15), (27, 30), (26, 9), (5, 1), (2, 17), (9, 29), (27, 31), (22, 7), (6, 26), (3, 13), (10, 6), (4, 17), (1, 3), (28, 1), (9, 31), (28, 5), (9, 27), (11, 10), (8, 1), (19, 8), (24, 30), (3, 26), (25, 7), (20, 8), (11, 20), (11, 17), (21, 16), (3, 29), (26, 30), (12, 0), (29, 1), (2, 26), (14, 20), (19, 22), (26, 5), (22, 28), (4, 26), (23, 1), (12, 21), (10, 2), (23, 23), (8, 17), (22, 11), (4, 1), (29, 13), (13, 15), (8, 21), (3, 9), (12, 13), (11, 4), (7, 12), (26, 15), (21, 13), (11, 31), (24, 19), (30, 24), (19, 23), (25, 6), (25, 14), (23, 22), (8, 31), (10, 30), (6, 16), (15, 17), (28, 18), (10, 23), (19, 21), (3, 12), (12, 3), (3, 11), (1, 31), (0, 25), (24, 5), (19, 3), (21, 17), (14, 4), (2, 19), (12, 10), (17, 12), (11, 12), (15, 27), (16, 7), (12, 11), (23, 14), (23, 7), (22, 24), (7, 6), (12, 22), (16, 16), (8, 13), (7, 20), (22, 31), (4, 12), (1, 1), (19, 30), (1, 8), (1, 15), (27, 28), (8, 26), (30, 0), (8, 30), (0, 2), (16, 23), (25, 5), (9, 14), (14, 0), (2, 2), (7, 13), (2, 24), (2, 29), (14, 15), (28, 27), (2, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 22), (28, 32), (5, 23), (18, 26), (35, 5), (38, 20), (24, 24), (25, 20), (33, 28), (6, 17), (2, 12), (34, 29), (28, 2), (32, 20), (31, 4), (30, 9), (21, 5), (16, 1), (6, 15), (34, 30), (2, 32), (24, 6), (24, 13), (13, 18), (29, 24), (28, 10), (13, 11), (0, 22), (14, 0), (6, 26), (24, 1), (3, 5), (13, 15), (18, 24), (1, 21), (24, 18), (15, 18), (3, 30), (13, 2), (8, 8), (33, 21), (24, 28), (15, 10), (0, 17), (14, 14), (20, 32), (1, 2), (22, 31), (11, 18), (8, 13), (4, 8), (11, 5), (21, 12), (25, 9), (28, 7), (21, 32), (8, 6), (14, 9), (36, 24), (5, 17), (11, 7), (19, 6), (25, 17), (3, 2), (32, 32), (9, 13), (18, 31), (20, 15), (21, 14), (15, 6), (36, 17), (34, 5), (5, 31), (11, 31), (12, 2), (22, 11), (32, 0), (28, 0), (0, 8), (10, 28), (21, 16), (21, 3), (22, 29), (4, 19), (18, 22), (5, 14), (11, 30), (25, 21), (32, 10), (3, 6), (19, 19), (2, 17), (9, 10), (5, 15), (11, 28), (32, 9), (36, 6), (31, 2), (11, 14), (2, 20), (16, 3), (23, 16), (33, 19), (0, 28), (27, 26), (25, 30), (8, 21), (22, 30), (22, 22), (31, 3), (15, 30), (29, 27), (32, 5), (27, 8), (26, 32), (21, 19), (6, 2), (28, 25), (19, 31), (29, 1), (3, 29), (19, 16), (5, 10), (21, 7), (16, 32), (30, 7), (20, 17), (33, 0), (19, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 31x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 0), (0, 4), (29, 21), (30, 14), (9, 1), (27, 11), (7, 27), (10, 22), (2, 32), (4, 29), (16, 27), (8, 28), (26, 27), (11, 18), (10, 13), (25, 27), (1, 10), (26, 32), (4, 31), (2, 22), (18, 2), (21, 25), (18, 13), (12, 12), (9, 28), (8, 19), (0, 22), (15, 9), (4, 20), (2, 5), (23, 19), (25, 26), (30, 5), (22, 20), (7, 13), (24, 34), (9, 23), (9, 7), (9, 20), (20, 11), (23, 28), (2, 30), (13, 17), (1, 4), (9, 27), (25, 16), (26, 9), (13, 6), (11, 29), (28, 0), (4, 2), (15, 15), (14, 22), (20, 8), (17, 16), (21, 9), (8, 3), (0, 27), (6, 8), (3, 34), (2, 21), (4, 22), (13, 33), (29, 30), (5, 23), (11, 5), (25, 12), (6, 18), (23, 26), (4, 33), (8, 0), (17, 22), (24, 3), (13, 12), (22, 10), (26, 26), (4, 34), (15, 16), (8, 24), (27, 21), (16, 31), (29, 23), (15, 30), (16, 10), (20, 22), (1, 24), (6, 6), (14, 30), (26, 31), (13, 10), (29, 17), (22, 22), (5, 9), (19, 5), (20, 26), (10, 4), (8, 18), (25, 11), (24, 24), (3, 14), (9, 19), (11, 10), (18, 22), (9, 8), (2, 20), (0, 23), (17, 0), (4, 18), (27, 22), (25, 7), (1, 3), (20, 34), (24, 21), (18, 3), (17, 34), (16, 30), (13, 11), (1, 30), (1, 22), (11, 30), (13, 29), (9, 29), (15, 17), (27, 16), (10, 27), (0, 10), (3, 7), (26, 3), (21, 4), (15, 14), (19, 21), (11, 28), (29, 0), (25, 13), (7, 4), (12, 7), (6, 28), (7, 22), (5, 26), (19, 32), (13, 31), (10, 28), (28, 26), (6, 11), (0, 11), (29, 22), (8, 7), (24, 26), (6, 9), (18, 33), (29, 10), (19, 17), (4, 26), (15, 18), (1, 1), (16, 0), (22, 14), (13, 16), (20, 28), (9, 6), (25, 19), (19, 13), (24, 19), (17, 23), (11, 4), (19, 25), (21, 3), (15, 24), (27, 0), (18, 16), (19, 23), (5, 19), (29, 19), (19, 27), (21, 8), (7, 7), (11, 7), (14, 13), (27, 26), (28, 34), (26, 15), (5, 16), (25, 10), (14, 31), (30, 12), (18, 5), (28, 27), (30, 15), (21, 21), (30, 28), (26, 11), (17, 12), (13, 13), (30, 1), (10, 33), (18, 34), (18, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 6), (27, 7), (23, 27), (28, 22), (0, 9), (14, 2), (0, 11), (21, 22), (10, 9), (18, 6), (29, 6), (15, 27), (28, 12), (22, 10), (14, 7), (27, 29), (5, 11), (4, 7), (10, 19), (8, 14), (7, 20), (3, 29), (27, 6), (27, 17), (23, 17), (28, 23), (8, 25), (29, 1), (6, 11), (32, 17), (31, 6), (23, 19), (25, 29), (9, 16), (2, 29), (5, 16), (29, 25), (1, 14), (0, 29), (29, 13), (20, 19), (5, 27), (25, 4), (22, 11), (2, 13), (30, 20), (25, 9), (13, 4), (31, 3), (0, 18), (24, 7), (4, 26), (13, 12), (16, 14), (14, 8), (19, 25), (20, 25), (30, 2), (31, 4), (19, 8), (11, 18), (7, 12), (27, 13), (4, 0), (28, 17), (16, 11), (20, 22), (10, 4), (23, 23), (16, 23), (11, 15), (28, 13), (31, 28), (25, 10), (29, 29), (30, 18), (20, 12), (18, 29), (0, 17), (18, 3), (1, 8), (27, 2), (13, 27), (5, 3), (10, 24), (25, 22), (21, 19), (23, 14), (5, 22), (6, 17), (22, 12), (15, 7), (29, 14), (11, 5), (17, 24), (25, 7), (4, 9), (2, 7), (6, 22), (23, 29), (21, 16), (12, 14), (31, 26), (19, 6), (1, 21), (1, 0), (27, 15), (29, 3), (12, 17), (24, 4), (28, 2), (22, 13), (5, 14), (18, 10), (7, 26), (32, 16), (23, 16), (14, 25), (6, 14), (4, 29), (24, 20), (23, 13), (22, 20), (23, 15), (30, 17), (7, 21), (17, 28), (1, 24), (28, 5), (16, 13), (22, 24), (24, 1), (19, 9), (7, 29), (4, 15), (32, 3), (5, 24), (12, 2), (19, 20), (9, 19), (28, 28), (25, 5), (0, 25), (21, 28), (1, 18), (4, 23), (29, 2), (27, 4), (12, 6), (23, 24), (13, 24), (30, 10), (27, 14), (20, 8), (9, 5), (9, 4), (29, 26), (22, 21), (14, 14), (27, 21), (4, 28), (6, 23), (1, 15), (20, 23), (12, 7), (25, 19), (10, 29), (8, 26), (30, 22), (11, 17), (5, 9), (12, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 35), (5, 13), (3, 9), (32, 17), (8, 4), (37, 27), (22, 9), (25, 8), (13, 38), (7, 37), (35, 3), (35, 14), (11, 28), (3, 4), (18, 17), (23, 2), (26, 4), (19, 10), (29, 11), (9, 22), (27, 6), (35, 21), (0, 26), (15, 3), (36, 12), (0, 13), (20, 30), (14, 0), (18, 27), (21, 29), (3, 18), (4, 20), (23, 22), (23, 16), (36, 29), (16, 29), (17, 10), (4, 19), (20, 38), (13, 8), (6, 6), (27, 16), (18, 3), (37, 7), (36, 11), (32, 27), (19, 36), (31, 38), (26, 21), (37, 15), (37, 36), (32, 6), (3, 36), (6, 29), (37, 17), (10, 27), (0, 35), (29, 19), (18, 21), (31, 34), (11, 37), (24, 14), (30, 9), (32, 28), (20, 17), (23, 14), (29, 10), (8, 18), (13, 34), (12, 25), (34, 0), (9, 4), (4, 11), (24, 9), (30, 19), (14, 30), (36, 17), (25, 27), (13, 14), (2, 38), (3, 32), (16, 23), (12, 4), (3, 10), (17, 8), (22, 3), (23, 12), (15, 7), (35, 25), (30, 35), (15, 30), (29, 27), (29, 35), (0, 5), (25, 33), (13, 22), (1, 19), (15, 19), (9, 38), (16, 15), (16, 3), (29, 14), (21, 14), (16, 6), (29, 3), (3, 11), (19, 32), (14, 25), (13, 24), (28, 34), (9, 25), (25, 16), (10, 7), (19, 20), (37, 13), (36, 1), (7, 9), (33, 22), (34, 29), (31, 5), (35, 13), (27, 30), (14, 24), (4, 21), (37, 34), (12, 21), (21, 7), (11, 15), (22, 12), (25, 19), (32, 9), (26, 1), (8, 3), (21, 8), (34, 38), (29, 2), (32, 4), (14, 9), (17, 9), (8, 0), (11, 9), (13, 37), (28, 23), (9, 8), (15, 12), (19, 7), (0, 23), (35, 16), (18, 34), (10, 5), (7, 2), (14, 36), (26, 23), (28, 22), (23, 29), (3, 31), (6, 5), (8, 7), (15, 17), (8, 20), (9, 37), (31, 4), (28, 29), (5, 1), (4, 26), (0, 15), (3, 17), (19, 24), (12, 13), (17, 7), (28, 14), (37, 16), (22, 5), (27, 8), (2, 30), (21, 19), (32, 13), (5, 26), (13, 1), (32, 8), (21, 17), (4, 25), (31, 9), (20, 15), (4, 37), (20, 0), (27, 0), (33, 30), (27, 27), (17, 29), (18, 36), (2, 24), (20, 13), (32, 22), (20, 10), (12, 1), (17, 1), (9, 29), (13, 7), (0, 11), (30, 32), (0, 24), (19, 14), (34, 17), (37, 37), (30, 38), (7, 1), (28, 10), (23, 18), (27, 31), (9, 9), (25, 10), (22, 25), (19, 8), (1, 12), (34, 26), (25, 18), (29, 21), (33, 25), (26, 22), (33, 35), (22, 30), (23, 33), (6, 1), (25, 38), (13, 4), (27, 29), (30, 11), (11, 31), (0, 2), (29, 28), (37, 4), (15, 9), (16, 9), (30, 23), (27, 4), (7, 32), (28, 17), (7, 38), (12, 10), (24, 8), (16, 33), (18, 6), (28, 30), (31, 24), (12, 27), (34, 15), (33, 23), (10, 10), (27, 10), (26, 19), (5, 19), (23, 28), (30, 3), (9, 24), (8, 37), (33, 13), (17, 25), (19, 4), (34, 18), (32, 14), (27, 2), (16, 16), (5, 30), (6, 11), (7, 15), (17, 35), (22, 36), (3, 23), (33, 11), (27, 32), (10, 26), (35, 17), (4, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 29), (24, 13), (17, 37), (29, 25), (29, 17), (11, 24), (0, 6), (2, 36), (33, 7), (28, 4), (8, 7), (10, 32), (9, 29), (3, 19), (32, 15), (17, 18), (22, 15), (30, 10), (3, 29), (1, 28), (32, 26), (11, 12), (17, 20), (1, 8), (31, 19), (21, 16), (0, 23), (15, 15), (6, 36), (33, 20), (33, 22), (6, 33), (0, 29), (33, 21), (3, 21), (5, 35), (32, 8), (28, 29), (22, 16), (32, 28), (24, 36), (18, 2), (33, 32), (24, 34), (23, 33), (20, 16), (21, 21), (27, 19), (28, 12), (25, 28), (15, 35), (17, 25), (23, 9), (33, 27), (7, 5), (4, 6), (5, 20), (32, 23), (22, 35), (22, 34), (21, 36), (6, 28), (10, 5), (11, 37), (5, 17), (31, 18), (4, 28), (22, 1), (29, 18), (33, 6), (33, 16), (6, 8), (1, 10), (12, 23), (6, 31), (18, 18), (9, 31), (30, 35), (23, 0), (7, 21), (0, 22), (5, 14), (28, 15), (30, 12), (6, 0), (32, 9), (14, 34), (10, 0), (30, 7), (4, 12), (27, 18), (29, 20), (24, 11), (0, 32), (6, 34), (25, 3), (9, 37), (14, 7), (13, 1), (20, 36), (28, 30), (7, 17), (4, 15), (31, 20), (11, 18), (6, 13), (11, 4), (8, 35), (18, 19), (12, 0), (25, 24), (30, 32), (3, 7), (8, 9), (17, 14), (32, 30), (7, 18), (10, 25), (33, 26), (21, 31), (11, 10), (17, 22), (25, 22), (11, 16), (6, 7), (8, 25), (3, 34), (30, 28), (0, 16), (7, 29), (14, 32), (6, 1), (20, 10), (6, 16), (18, 37), (33, 13), (18, 6), (9, 32), (10, 30), (0, 20), (31, 3), (30, 4), (23, 11), (4, 19), (28, 10), (18, 0), (5, 32), (5, 8), (21, 6), (27, 6), (13, 22), (5, 18), (23, 17), (2, 15), (31, 5), (22, 2), (16, 12), (7, 8), (13, 4), (23, 6), (13, 23), (26, 3), (7, 13), (19, 21), (13, 13), (8, 24), (18, 13), (13, 37), (27, 8), (32, 16), (5, 23), (32, 19), (7, 35), (6, 3), (3, 23), (14, 27), (30, 36), (1, 7), (2, 16), (6, 5), (25, 14), (21, 5), (13, 35), (17, 9), (10, 18), (0, 11), (17, 28), (29, 5), (6, 2), (21, 25), (0, 24), (4, 18), (11, 29), (11, 35), (5, 15), (28, 23), (22, 30), (1, 0), (10, 26), (27, 24), (19, 20), (22, 6), (24, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 34x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 7), (1, 13), (9, 6), (24, 12), (21, 0), (13, 0), (4, 19), (11, 16), (10, 9), (23, 25), (23, 13), (2, 4), (30, 9), (28, 22), (24, 16), (12, 21), (27, 25), (19, 17), (16, 4), (28, 10), (0, 9), (26, 16), (5, 16), (15, 26), (11, 11), (7, 6), (1, 19), (23, 7), (26, 35), (6, 12), (33, 28), (17, 36), (7, 24), (13, 1), (30, 12), (17, 30), (20, 36), (31, 27), (24, 32), (26, 19), (0, 3), (25, 5), (9, 10), (11, 24), (6, 30), (13, 14), (11, 2), (14, 12), (6, 36), (8, 28), (14, 3), (11, 14), (7, 0), (5, 35), (6, 14), (25, 34), (16, 6), (4, 33), (16, 17), (31, 8), (13, 3), (21, 17), (5, 28), (4, 13), (31, 33), (24, 17), (7, 16), (31, 13), (17, 27), (3, 11), (32, 4), (14, 31), (0, 23), (14, 14), (2, 23), (18, 28), (33, 26), (25, 21), (19, 31), (30, 16), (9, 0), (17, 0), (22, 31), (29, 34), (31, 20), (26, 32), (0, 27), (17, 35), (5, 34), (24, 5), (31, 17), (1, 30), (18, 25), (16, 31), (27, 2), (8, 5), (9, 32), (14, 17), (14, 24), (13, 13), (13, 34), (18, 5), (19, 15), (12, 27), (16, 16), (9, 15), (5, 25), (12, 34), (31, 28), (25, 15), (27, 10), (18, 29), (12, 8), (9, 26), (5, 14), (31, 7), (17, 28), (1, 17), (5, 2), (22, 15), (15, 14), (29, 21), (23, 35), (29, 24), (27, 3), (12, 3), (17, 12), (7, 31), (18, 22), (8, 33), (9, 25), (11, 33), (15, 24), (0, 2), (33, 30), (0, 26), (32, 17), (16, 32), (30, 20), (20, 16), (21, 24), (11, 13), (10, 22), (20, 15), (18, 3), (22, 20), (28, 30), (29, 11), (8, 21), (29, 36), (9, 3), (30, 11), (15, 3), (24, 26), (32, 10), (10, 5), (7, 35), (10, 6), (26, 15), (29, 12), (27, 32), (0, 18), (17, 3), (21, 1), (25, 26), (1, 29), (20, 22), (30, 26), (21, 14), (27, 36), (18, 17), (16, 21), (26, 36), (29, 14), (8, 9), (8, 24), (3, 13), (6, 25), (24, 7), (27, 1), (20, 5), (8, 29), (21, 35), (21, 34), (7, 29), (13, 11), (8, 19), (16, 1), (30, 24), (32, 14), (8, 7), (21, 29), (7, 8), (7, 28), (29, 19), (17, 21), (21, 8), (17, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 24), (27, 31), (10, 3), (8, 0), (27, 11), (30, 19), (26, 16), (1, 12), (33, 0), (9, 18), (25, 21), (3, 3), (22, 11), (4, 3), (4, 18), (14, 10), (17, 27), (33, 34), (5, 3), (21, 9), (0, 2), (8, 34), (9, 24), (26, 24), (20, 27), (6, 7), (29, 0), (31, 28), (10, 30), (33, 5), (20, 0), (31, 27), (8, 11), (22, 10), (25, 7), (16, 4), (8, 14), (2, 29), (9, 15), (1, 11), (32, 29), (4, 13), (3, 31), (32, 6), (11, 19), (14, 29), (16, 16), (27, 32), (32, 14), (21, 35), (29, 31), (18, 28), (10, 18), (19, 29), (9, 22), (12, 17), (16, 27), (23, 5), (17, 25), (5, 12), (7, 33), (16, 0), (11, 32), (7, 12), (22, 3), (31, 24), (21, 14), (8, 16), (32, 10), (8, 12), (25, 23), (11, 23), (3, 1), (5, 34), (31, 0), (9, 30), (26, 33), (31, 17), (15, 29), (21, 26), (11, 35), (26, 25), (9, 16), (28, 5), (14, 35), (12, 18), (30, 22), (19, 13), (8, 24), (25, 19), (7, 14), (4, 22), (16, 11), (16, 9), (16, 26), (21, 31), (16, 8), (26, 27), (25, 35), (33, 15), (27, 5), (17, 14), (14, 8), (28, 19), (10, 11), (7, 13), (30, 31), (16, 6), (17, 20), (20, 23), (23, 4), (7, 17), (0, 35), (6, 31), (3, 12), (21, 34), (29, 22), (6, 1), (7, 34), (27, 34), (10, 31), (23, 12), (17, 7), (10, 15), (13, 35), (11, 18), (20, 3), (13, 25), (23, 10), (1, 20), (21, 24), (17, 34), (8, 28), (2, 9), (34, 11), (10, 27), (0, 33), (6, 30), (11, 2), (2, 17), (20, 7), (1, 0), (20, 10), (14, 33), (10, 6), (8, 21), (3, 14), (16, 14), (12, 30), (23, 9), (16, 20), (5, 4), (19, 3), (7, 19), (22, 7), (20, 8), (26, 23), (21, 4), (4, 8), (28, 10), (13, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 3), (28, 5), (25, 26), (5, 25), (25, 8), (25, 22), (27, 11), (11, 16), (5, 29), (5, 26), (16, 36), (19, 0), (28, 34), (0, 11), (20, 2), (0, 24), (27, 10), (4, 34), (4, 10), (7, 1), (24, 14), (2, 21), (4, 0), (22, 6), (22, 11), (3, 37), (33, 31), (6, 33), (3, 8), (33, 30), (21, 26), (16, 21), (20, 6), (26, 20), (2, 27), (8, 9), (14, 7), (8, 17), (6, 17), (12, 4), (2, 7), (3, 26), (33, 25), (20, 34), (17, 25), (29, 5), (6, 14), (23, 23), (25, 34), (9, 5), (23, 5), (27, 5), (17, 3), (1, 27), (4, 8), (26, 34), (27, 25), (14, 3), (30, 4), (29, 9), (17, 28), (13, 29), (27, 14), (22, 20), (12, 6), (18, 17), (16, 22), (7, 24), (2, 11), (20, 7), (30, 0), (20, 14), (26, 27), (0, 16), (4, 15), (6, 25), (2, 23), (2, 35), (1, 13), (29, 13), (8, 5), (1, 1), (5, 9), (19, 17), (4, 25), (17, 8), (22, 16), (5, 19), (10, 6), (10, 10), (13, 0), (21, 37), (15, 5), (13, 37), (1, 35), (5, 30), (13, 27), (15, 17), (28, 12), (21, 30), (20, 35), (13, 34), (23, 35), (27, 29), (23, 28), (28, 24), (1, 2), (31, 29), (14, 25), (11, 1), (8, 34), (10, 0), (23, 29), (19, 32), (2, 20), (18, 5), (13, 36), (2, 1), (31, 4), (17, 12), (12, 16), (18, 21), (12, 17), (15, 1), (31, 15), (32, 20), (24, 35), (7, 31), (9, 29), (26, 23), (5, 31), (2, 2), (14, 30), (0, 31), (32, 19), (4, 20), (18, 9), (31, 35), (1, 36), (31, 31), (9, 37), (31, 24), (14, 21), (13, 10), (11, 35), (32, 30), (29, 3), (19, 16), (2, 26), (26, 17), (21, 2), (15, 20), (21, 25), (28, 4), (11, 12), (30, 13), (27, 1), (20, 16), (22, 13), (6, 26), (24, 7), (30, 27), (16, 28), (20, 23), (10, 30), (31, 14), (29, 22), (13, 18), (1, 21), (12, 23), (24, 17), (22, 1), (13, 14), (20, 13), (24, 23), (9, 0), (19, 6), (18, 37), (13, 3), (26, 8), (15, 0), (2, 5), (13, 15), (11, 34), (22, 34), (12, 24), (24, 24), (11, 7), (29, 11), (6, 27), (20, 27), (31, 32), (11, 11), (33, 22), (28, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (35, 4), (28, 4), (13, 21), (2, 12), (10, 6), (30, 22), (9, 0), (2, 7), (29, 30), (22, 7), (4, 30), (9, 37), (1, 21), (35, 0), (14, 9), (13, 2), (37, 35), (22, 18), (4, 2), (32, 23), (32, 10), (16, 25), (5, 26), (27, 1), (26, 31), (24, 34), (10, 38), (20, 31), (25, 24), (2, 32), (32, 28), (25, 27), (4, 3), (7, 18), (30, 31), (29, 6), (37, 10), (14, 30), (30, 19), (13, 32), (24, 38), (15, 6), (1, 22), (12, 29), (14, 29), (32, 19), (6, 2), (4, 4), (31, 25), (30, 34), (2, 18), (13, 16), (11, 29), (29, 2), (4, 11), (13, 22), (35, 19), (27, 4), (4, 9), (27, 10), (11, 1), (17, 37), (7, 8), (3, 35), (25, 9), (28, 34), (15, 14), (6, 32), (35, 24), (22, 19), (19, 28), (0, 15), (36, 10), (35, 33), (5, 16), (18, 10), (11, 19), (19, 22), (8, 19), (15, 21), (29, 35), (0, 23), (10, 11), (5, 35), (34, 5), (6, 27), (10, 12), (29, 20), (20, 17), (31, 31), (22, 30), (21, 16), (27, 35), (10, 17), (24, 27), (0, 29), (19, 26), (21, 4), (20, 21), (20, 25), (15, 19), (11, 18), (16, 12), (4, 12), (37, 0), (10, 8), (8, 0), (21, 8), (25, 2), (18, 26), (0, 33), (33, 24), (32, 12), (21, 6), (25, 6), (21, 32), (25, 8), (33, 23), (7, 23), (3, 11), (33, 8), (8, 37), (17, 5), (10, 34), (9, 2), (37, 36), (7, 16), (25, 4), (31, 32), (10, 21), (21, 38), (17, 1), (37, 5), (32, 36), (30, 13), (18, 8), (11, 3), (20, 33), (33, 29), (33, 35), (17, 33), (23, 38), (23, 2), (17, 23), (22, 12), (27, 30), (9, 18), (4, 1), (25, 32), (8, 18), (23, 3), (11, 28), (28, 12), (28, 37), (26, 24), (2, 30), (14, 37), (8, 23), (36, 32), (3, 23), (18, 31), (26, 35), (25, 37), (4, 36), (31, 6), (7, 1), (15, 4), (9, 7), (2, 1), (17, 3), (22, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 17), (22, 28), (16, 20), (6, 7), (13, 0), (28, 30), (29, 8), (4, 9), (28, 0), (20, 13), (12, 4), (19, 16), (6, 18), (35, 30), (11, 13), (25, 2), (11, 7), (13, 2), (22, 26), (36, 1), (0, 27), (9, 28), (12, 17), (12, 0), (17, 1), (28, 8), (29, 28), (23, 10), (26, 16), (21, 13), (11, 22), (30, 29), (0, 30), (16, 30), (21, 2), (14, 12), (21, 22), (32, 29), (18, 27), (13, 31), (8, 12), (24, 10), (31, 32), (28, 19), (10, 15), (30, 9), (0, 23), (14, 3), (25, 20), (11, 28), (24, 23), (12, 9), (35, 28), (23, 6), (24, 27), (29, 12), (27, 32), (14, 2), (30, 28), (13, 15), (1, 12), (5, 19), (13, 28), (14, 1), (10, 25), (2, 17), (13, 10), (3, 5), (30, 14), (1, 4), (28, 31), (28, 11), (16, 16), (24, 30), (8, 30), (8, 8), (19, 15), (4, 12), (24, 25), (26, 25), (24, 5), (20, 11), (31, 4), (26, 27), (15, 27), (34, 23), (14, 28), (7, 10), (25, 6), (30, 17), (19, 10), (2, 7), (4, 20), (37, 6), (5, 28), (24, 3), (24, 17), (14, 18), (12, 29), (29, 6), (32, 15), (24, 1), (5, 22), (25, 31), (30, 32), (16, 31), (8, 28), (4, 5), (11, 23), (3, 2), (32, 30), (23, 18), (12, 10), (4, 23), (4, 6), (16, 19), (18, 24), (23, 14), (11, 2), (11, 19), (26, 12), (37, 22), (31, 1), (4, 16), (22, 6), (17, 17), (31, 27), (28, 6), (27, 28), (6, 0), (12, 19), (5, 1), (35, 6), (0, 25), (37, 15), (15, 3), (18, 3), (9, 2), (22, 5), (4, 25), (1, 32), (17, 15), (16, 10), (8, 20), (18, 4), (17, 5), (11, 3), (26, 10), (28, 9), (11, 20), (5, 26), (7, 25), (2, 19), (24, 9), (19, 2), (1, 29), (32, 14), (24, 32), (36, 5), (16, 12), (33, 21), (1, 11), (10, 13), (34, 9), (26, 28), (10, 1), (26, 7), (34, 5), (20, 19), (21, 16), (29, 31), (33, 7), (1, 7), (4, 1), (23, 2), (3, 31), (6, 11), (3, 13), (14, 31), (13, 21), (19, 17), (17, 26), (12, 11), (32, 0), (2, 1), (33, 9), (35, 29), (13, 9), (3, 14), (1, 27), (2, 24), (4, 29), (34, 17), (18, 13), (28, 13), (10, 21), (20, 32), (22, 3), (23, 11), (28, 26), (22, 14), (8, 26), (5, 16), (13, 5), (24, 21), (37, 1), (10, 8), (27, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 39x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 21), (27, 19), (31, 34), (36, 30), (4, 7), (11, 10), (18, 3), (36, 6), (27, 29), (36, 9), (28, 28), (35, 33), (33, 21), (11, 24), (21, 18), (17, 36), (17, 11), (29, 28), (28, 1), (12, 4), (11, 32), (35, 31), (19, 13), (20, 26), (34, 34), (1, 9), (6, 28), (22, 14), (33, 15), (22, 31), (12, 12), (24, 6), (25, 29), (17, 8), (15, 3), (14, 32), (0, 17), (11, 16), (21, 15), (38, 5), (21, 36), (18, 21), (22, 19), (12, 28), (35, 32), (12, 6), (4, 33), (1, 29), (10, 3), (3, 29), (6, 2), (35, 1), (19, 36), (21, 31), (2, 13), (15, 21), (12, 35), (29, 27), (7, 12), (31, 30), (8, 31), (5, 13), (17, 0), (9, 8), (11, 27), (22, 8), (3, 23), (38, 26), (3, 27), (10, 24), (4, 11), (27, 14), (22, 35), (23, 33), (12, 1), (23, 17), (29, 4), (32, 0), (37, 1), (18, 9), (28, 34), (9, 22), (5, 23), (33, 13), (31, 0), (3, 31), (24, 15), (29, 6), (14, 20), (15, 4), (6, 14), (10, 10), (28, 16), (15, 11), (32, 1), (2, 6), (34, 4), (30, 28), (24, 26), (21, 0), (2, 28), (29, 24), (9, 3), (0, 36), (5, 28), (1, 5), (17, 13), (23, 0), (1, 10), (19, 6), (31, 15), (35, 28), (10, 28), (14, 13), (6, 27), (5, 18), (10, 21), (22, 10), (7, 5), (34, 7), (25, 2), (7, 28), (17, 10), (0, 11), (11, 25), (22, 33), (8, 22), (34, 17), (22, 26), (9, 21), (2, 22), (26, 33), (8, 26), (18, 26), (2, 15), (0, 21), (14, 5), (16, 7), (18, 8), (17, 26), (12, 3), (3, 28), (11, 33), (9, 7), (20, 6), (15, 33), (27, 17), (25, 9), (19, 32), (25, 20), (33, 30), (32, 6), (15, 8), (11, 21), (14, 16), (21, 21), (17, 23), (18, 23), (31, 25), (29, 7), (17, 25), (14, 31), (23, 12), (13, 19), (22, 0), (13, 0), (32, 29), (2, 26), (16, 21), (20, 35), (19, 22), (1, 22), (27, 35), (30, 21), (23, 6), (36, 34), (14, 27), (9, 2), (28, 14), (25, 7), (22, 13), (32, 9), (28, 13), (29, 29), (7, 20), (19, 15), (27, 32), (33, 28), (23, 35), (8, 33), (26, 1), (20, 13), (23, 1), (10, 15), (3, 19), (26, 26), (22, 15), (18, 16), (33, 22), (32, 13), (23, 26), (13, 14), (32, 25), (16, 15), (37, 16), (37, 35), (8, 5), (32, 11), (23, 34), (33, 27), (6, 17), (5, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 1), (31, 12), (13, 24), (0, 7), (4, 20), (29, 10), (6, 24), (18, 29), (10, 8), (15, 15), (1, 22), (5, 24), (6, 0), (14, 10), (30, 13), (16, 14), (3, 9), (9, 3), (22, 0), (1, 17), (30, 2), (32, 26), (4, 4), (15, 25), (7, 1), (28, 17), (22, 23), (24, 10), (31, 27), (0, 3), (25, 7), (32, 20), (14, 23), (23, 17), (12, 21), (21, 14), (15, 0), (23, 12), (10, 2), (13, 16), (0, 1), (27, 16), (20, 2), (26, 14), (31, 18), (10, 17), (0, 11), (7, 4), (5, 2), (25, 2), (9, 22), (28, 25), (27, 8), (17, 10), (26, 3), (30, 27), (16, 19), (27, 13), (30, 5), (24, 12), (25, 10), (7, 19), (25, 8), (25, 20), (31, 21), (32, 9), (18, 17), (22, 9), (28, 13), (17, 14), (4, 25), (23, 1), (1, 26), (6, 2), (5, 8), (1, 20), (23, 2), (8, 18), (3, 19), (13, 2), (18, 20), (11, 10), (15, 24), (5, 17), (4, 21), (26, 13), (21, 15), (4, 18), (20, 5), (13, 18), (25, 17), (3, 16), (3, 3), (5, 16), (28, 9), (3, 24), (10, 23), (12, 14), (29, 23), (8, 2), (22, 2), (3, 7), (10, 26), (6, 22), (19, 12), (31, 0), (4, 19), (13, 7), (7, 13), (23, 7), (19, 3), (2, 2), (8, 7), (13, 21), (19, 26), (21, 8), (16, 23), (26, 4), (28, 5), (25, 14), (4, 2), (13, 23), (18, 12), (17, 25), (10, 3), (32, 14), (24, 19), (18, 8), (8, 12), (7, 7), (29, 8), (14, 5), (16, 18), (3, 27), (14, 28), (19, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 37x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 2), (17, 15), (22, 27), (7, 1), (27, 9), (13, 16), (29, 21), (16, 27), (18, 29), (10, 21), (0, 24), (27, 14), (29, 1), (15, 22), (14, 10), (36, 17), (1, 19), (11, 10), (7, 8), (29, 29), (21, 8), (29, 28), (33, 29), (1, 22), (5, 10), (15, 10), (31, 24), (25, 26), (20, 23), (19, 9), (17, 23), (21, 13), (21, 11), (24, 22), (4, 10), (20, 14), (14, 22), (8, 13), (25, 8), (8, 6), (27, 1), (4, 1), (10, 13), (0, 20), (3, 22), (35, 4), (15, 20), (28, 21), (29, 24), (14, 21), (24, 19), (36, 22), (14, 18), (11, 22), (33, 23), (36, 8), (3, 24), (1, 11), (0, 2), (22, 10), (3, 6), (22, 8), (14, 24), (31, 7), (23, 21), (1, 15), (33, 13), (28, 8), (0, 17), (34, 3), (15, 14), (23, 15), (34, 1), (25, 18), (35, 7), (23, 24), (36, 12), (2, 27), (22, 18), (16, 25), (11, 16), (33, 7), (7, 17), (1, 28), (30, 10), (7, 4), (6, 21), (13, 0), (15, 11), (31, 26), (24, 11), (23, 10), (2, 22), (6, 3), (32, 3), (34, 2), (20, 10), (23, 3), (4, 4), (7, 13), (9, 14), (21, 24), (35, 27), (6, 8), (22, 14), (13, 8), (20, 18), (1, 10), (31, 8), (30, 13), (6, 2), (30, 4), (26, 27), (3, 28), (12, 7), (36, 23), (7, 26), (7, 18), (20, 11), (19, 6), (11, 1), (4, 9), (13, 6), (17, 16), (14, 12), (9, 10), (18, 20), (26, 19), (30, 25), (22, 13), (22, 5), (3, 25), (10, 1), (4, 25), (34, 29), (16, 19), (11, 19), (30, 1), (3, 10), (34, 18), (2, 25), (19, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 31), (25, 26), (27, 29), (14, 31), (27, 14), (13, 0), (20, 8), (2, 5), (15, 24), (24, 4), (26, 3), (9, 3), (24, 21), (28, 16), (10, 34), (18, 11), (13, 14), (3, 24), (26, 9), (7, 12), (19, 18), (9, 2), (11, 8), (20, 26), (5, 13), (2, 18), (6, 32), (24, 10), (24, 34), (16, 23), (10, 29), (13, 6), (21, 6), (29, 0), (30, 23), (13, 19), (22, 29), (23, 18), (28, 14), (3, 18), (0, 5), (27, 2), (18, 25), (7, 27), (6, 16), (3, 0), (17, 22), (24, 1), (14, 19), (25, 29), (3, 5), (25, 11), (14, 29), (27, 23), (8, 7), (25, 25), (16, 2), (18, 6), (15, 21), (14, 20), (10, 13), (9, 13), (28, 8), (16, 30), (15, 12), (3, 22), (10, 14), (0, 6), (12, 10), (5, 10), (17, 25), (11, 19), (7, 25), (13, 11), (15, 18), (12, 4), (16, 25), (21, 32), (18, 12), (14, 7), (28, 22), (13, 17), (11, 3), (8, 15), (13, 34), (1, 33), (19, 16), (24, 28), (20, 27), (3, 1), (4, 13), (1, 18), (18, 27), (15, 26), (25, 18), (3, 20), (24, 15), (3, 2), (27, 20), (17, 20), (23, 26), (6, 23), (9, 8), (8, 0), (28, 19), (7, 19), (1, 3), (24, 11), (17, 4), (16, 11), (31, 30), (21, 34), (28, 20), (8, 9), (14, 18), (17, 34), (12, 15), (18, 10), (20, 22), (23, 0), (7, 15), (31, 2), (26, 10), (10, 9), (4, 22), (14, 34), (12, 32), (4, 29), (11, 20), (5, 2), (6, 31), (18, 20), (29, 9), (17, 18), (5, 34), (23, 28), (22, 9), (20, 5), (25, 28), (18, 16), (2, 20), (15, 31), (28, 12), (5, 9), (0, 10), (2, 33), (16, 0), (24, 33), (31, 27), (31, 25), (8, 14), (27, 33), (6, 22), (19, 23), (25, 30), (28, 32), (17, 11), (19, 30), (12, 22), (14, 10), (11, 31), (12, 33), (5, 11), (30, 3), (17, 8), (14, 16), (30, 26), (0, 12), (16, 21), (13, 12), (8, 23), (6, 26), (4, 11), (30, 20), (28, 33), (22, 4), (30, 29), (15, 6), (26, 23), (30, 34), (7, 0), (19, 32), (29, 8), (6, 20), (17, 15), (20, 17), (25, 0), (4, 28), (3, 29), (27, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 32x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 21), (18, 9), (15, 26), (20, 27), (16, 9), (20, 5), (28, 17), (19, 32), (9, 27), (7, 27), (16, 24), (13, 1), (8, 7), (12, 3), (21, 30), (27, 6), (15, 25), (8, 19), (24, 13), (19, 24), (22, 2), (2, 16), (16, 27), (19, 18), (22, 18), (2, 26), (0, 12), (12, 18), (8, 17), (27, 27), (24, 21), (19, 1), (11, 11), (3, 13), (7, 25), (22, 10), (22, 11), (24, 25), (29, 13), (7, 4), (31, 4), (24, 22), (24, 6), (0, 25), (11, 17), (13, 23), (3, 20), (2, 11), (27, 4), (24, 31), (27, 18), (20, 28), (10, 27), (1, 8), (25, 14), (24, 19), (3, 8), (4, 14), (9, 21), (16, 28), (21, 25), (26, 27), (13, 10), (18, 27), (1, 31), (24, 26), (9, 32), (9, 8), (14, 15), (3, 32), (31, 7), (18, 6), (1, 5), (18, 24), (19, 0), (23, 30), (25, 12), (23, 25), (3, 21), (31, 0), (5, 12), (3, 18), (22, 25), (27, 12), (20, 23), (21, 5), (16, 32), (28, 0), (1, 13), (2, 5), (19, 10), (28, 10), (17, 7), (10, 30), (11, 14), (4, 28), (29, 1), (7, 0), (2, 15), (10, 0), (18, 26), (0, 24), (20, 15), (10, 18), (17, 26), (26, 2), (5, 32), (9, 13), (23, 26), (31, 17), (14, 11), (1, 2), (18, 28), (25, 29), (6, 1), (10, 4), (3, 6), (16, 25), (28, 11), (23, 21), (14, 12), (25, 27), (10, 16), (25, 6), (3, 16), (23, 24), (8, 5), (15, 12), (8, 22), (17, 31), (14, 25), (8, 14), (17, 12), (28, 12), (13, 0), (24, 1), (24, 18), (21, 13), (27, 16), (29, 22), (7, 1), (11, 20), (16, 26), (20, 2), (14, 32), (13, 3), (2, 30), (31, 28), (6, 21), (9, 28), (30, 27), (2, 20), (26, 1), (9, 23), (1, 26), (8, 13), (20, 7), (6, 22), (8, 20), (29, 2), (13, 5), (12, 9), (23, 31), (20, 24), (31, 1), (23, 29), (12, 28), (6, 9), (0, 14), (19, 12), (28, 1), (15, 29), (16, 22), (26, 16), (13, 22), (4, 31), (1, 6), (11, 31), (9, 14), (18, 22), (10, 20), (30, 22), (24, 27), (30, 14), (3, 26), (25, 18), (27, 28), (4, 12), (12, 17), (30, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 4), (17, 2), (26, 2), (9, 10), (28, 14), (29, 18), (2, 25), (14, 10), (6, 22), (13, 8), (17, 4), (3, 17), (19, 19), (2, 14), (11, 16), (22, 12), (4, 17), (30, 3), (17, 14), (30, 2), (17, 23), (8, 3), (1, 29), (17, 15), (18, 25), (9, 5), (0, 20), (8, 16), (6, 17), (24, 26), (24, 9), (28, 13), (9, 18), (23, 18), (28, 10), (14, 20), (1, 0), (9, 24), (10, 26), (5, 20), (11, 12), (12, 29), (8, 11), (13, 1), (10, 20), (25, 7), (29, 5), (0, 7), (4, 15), (20, 14), (23, 27), (9, 17), (11, 3), (14, 24), (8, 7), (26, 20), (28, 6), (19, 20), (23, 25), (6, 11), (11, 9), (24, 7), (5, 18), (24, 12), (7, 5), (13, 25), (26, 9), (12, 17), (4, 4), (10, 4), (19, 15), (30, 1), (21, 14), (18, 7), (16, 9), (26, 16), (7, 9), (25, 13), (11, 2), (8, 29), (27, 3), (29, 29), (16, 23), (3, 24), (7, 7), (29, 19), (0, 29), (14, 23), (12, 11), (16, 11), (12, 26), (23, 28), (18, 10), (26, 19), (18, 6), (6, 21), (5, 28), (9, 16), (11, 24), (5, 12), (13, 13), (5, 7), (18, 9), (9, 26), (18, 1), (8, 0), (5, 1), (14, 4), (20, 19), (13, 18), (6, 24), (20, 0), (21, 8), (10, 0), (11, 26), (19, 10), (27, 18), (17, 19), (1, 4), (12, 21), (26, 28), (8, 12), (15, 4), (16, 20), (6, 29), (7, 2), (11, 5), (6, 27), (19, 8), (16, 0), (15, 27), (7, 29), (6, 9), (3, 7), (22, 4), (4, 20), (20, 18), (26, 0), (0, 19), (23, 24), (22, 29), (22, 20), (17, 28), (17, 8), (19, 23), (5, 10), (14, 16), (1, 19), (9, 19), (8, 5), (4, 27), (2, 5), (2, 18), (2, 8), (21, 16), (21, 21), (1, 15), (20, 11), (5, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 32x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 24), (19, 17), (9, 29), (24, 21), (1, 17), (26, 7), (15, 12), (16, 4), (17, 19), (17, 26), (10, 13), (21, 11), (31, 23), (17, 0), (1, 15), (1, 0), (6, 5), (19, 29), (22, 10), (25, 25), (29, 5), (8, 13), (1, 31), (6, 14), (8, 31), (9, 6), (15, 9), (4, 26), (14, 15), (7, 20), (9, 28), (2, 11), (22, 14), (15, 29), (29, 9), (25, 30), (16, 25), (3, 25), (19, 24), (0, 27), (17, 25), (9, 20), (30, 27), (9, 1), (12, 9), (14, 18), (9, 24), (18, 1), (4, 30), (13, 24), (3, 31), (31, 0), (28, 14), (19, 32), (13, 27), (20, 26), (27, 7), (31, 5), (27, 28), (29, 25), (30, 6), (16, 9), (27, 31), (29, 8), (10, 3), (13, 23), (14, 3), (25, 14), (23, 21), (23, 22), (15, 0), (19, 21), (21, 12), (0, 8), (26, 32), (25, 5), (7, 17), (8, 8), (29, 0), (11, 19), (26, 15), (10, 25), (16, 12), (27, 15), (7, 12), (5, 11), (21, 30), (11, 14), (26, 18), (11, 16), (11, 6), (21, 3), (27, 5), (27, 8), (8, 7), (20, 25), (4, 18), (0, 5), (17, 28), (16, 18), (10, 29), (17, 11), (7, 22), (9, 16), (26, 13), (25, 15), (16, 2), (7, 24), (6, 3), (31, 15), (18, 19), (11, 13), (0, 29), (30, 30), (2, 32), (18, 25), (14, 8), (12, 26), (27, 27), (19, 4), (13, 1), (26, 27), (15, 8), (7, 3), (26, 30), (10, 20), (18, 32), (7, 27), (12, 14), (0, 16), (13, 25), (28, 13), (8, 1), (10, 11), (30, 19), (3, 29), (21, 4), (29, 20), (17, 23), (1, 13), (6, 1), (12, 19), (8, 25), (6, 7), (9, 25), (23, 6), (25, 18), (4, 0), (1, 32), (30, 8), (28, 5), (27, 22), (9, 9), (15, 15), (14, 32), (12, 6), (22, 20), (25, 32), (2, 23), (1, 4), (11, 22), (16, 16), (23, 13), (4, 31), (10, 12), (7, 7), (23, 12), (18, 12), (17, 2), (21, 17), (19, 5), (15, 28), (22, 28), (11, 31), (21, 13), (28, 9), (13, 17), (9, 3), (5, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 22), (19, 10), (10, 14), (11, 26), (6, 9), (11, 30), (14, 19), (1, 19), (23, 31), (23, 34), (28, 9), (6, 18), (23, 8), (20, 13), (29, 7), (3, 22), (18, 12), (2, 15), (5, 21), (25, 27), (7, 23), (28, 7), (15, 17), (17, 10), (17, 27), (4, 19), (13, 26), (28, 4), (5, 8), (1, 17), (8, 7), (5, 22), (18, 18), (3, 33), (10, 1), (3, 17), (4, 12), (5, 23), (9, 31), (2, 29), (2, 10), (24, 22), (19, 25), (3, 24), (9, 24), (21, 22), (21, 21), (16, 28), (22, 24), (2, 11), (17, 17), (15, 34), (23, 18), (29, 26), (24, 15), (26, 5), (0, 4), (22, 26), (14, 10), (1, 31), (12, 16), (22, 8), (21, 1), (26, 16), (15, 14), (2, 24), (12, 7), (22, 1), (24, 30), (11, 10), (16, 25), (11, 1), (27, 32), (9, 14), (12, 1), (13, 23), (19, 8), (20, 8), (4, 27), (9, 10), (15, 32), (13, 0), (25, 26), (22, 31), (23, 15), (16, 10), (8, 19), (13, 10), (9, 18), (11, 11), (21, 9), (7, 28), (1, 8), (17, 18), (23, 28), (18, 32), (14, 5), (23, 9), (7, 7), (7, 17), (14, 16), (24, 6), (12, 6), (11, 2), (18, 1), (7, 6), (7, 4), (18, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 4), (3, 11), (0, 26), (27, 8), (24, 10), (23, 3), (17, 26), (1, 28), (14, 7), (28, 5), (24, 25), (16, 24), (20, 24), (0, 1), (9, 2), (26, 1), (27, 30), (14, 29), (3, 9), (32, 15), (8, 34), (31, 28), (9, 16), (15, 18), (27, 31), (16, 16), (7, 12), (31, 22), (3, 12), (26, 34), (16, 29), (24, 33), (33, 15), (19, 34), (27, 24), (29, 31), (5, 11), (6, 26), (21, 2), (12, 29), (11, 22), (19, 0), (10, 17), (16, 14), (7, 33), (17, 4), (8, 24), (28, 7), (11, 31), (1, 24), (9, 23), (20, 19), (15, 6), (4, 31), (15, 10), (34, 27), (5, 15), (32, 14), (20, 27), (25, 13), (8, 25), (7, 19), (12, 23), (34, 24), (21, 3), (13, 21), (32, 9), (22, 6), (4, 23), (0, 18), (2, 2), (9, 32), (2, 12), (32, 30), (3, 27), (21, 26), (2, 19), (14, 22), (6, 31), (12, 6), (0, 5), (8, 14), (17, 19), (33, 26), (34, 14), (27, 7), (19, 12), (17, 7), (2, 20), (11, 4), (18, 2), (22, 27), (14, 24), (31, 9), (5, 5), (34, 7), (6, 20), (1, 20), (21, 20), (28, 30), (6, 13), (11, 25), (3, 1), (8, 23), (7, 6), (2, 17), (21, 6), (24, 2), (7, 18), (18, 25), (33, 18), (29, 5), (29, 15), (7, 1), (26, 17), (5, 2), (13, 30), (2, 16), (14, 28), (23, 34), (3, 28), (13, 0), (8, 27), (31, 8), (30, 12), (7, 0), (25, 30), (22, 2), (26, 22), (4, 11), (1, 33), (13, 9), (24, 8), (21, 24), (25, 9), (0, 22), (17, 27), (16, 12), (22, 16), (5, 33), (17, 22), (6, 24), (25, 32), (6, 10), (12, 9), (32, 19), (28, 15), (19, 4), (3, 6), (14, 4), (5, 8), (26, 7), (8, 8), (34, 11), (20, 29), (2, 31), (21, 11), (8, 22), (6, 5), (10, 4), (30, 25), (29, 8), (34, 21), (14, 32), (7, 8), (6, 11), (22, 17), (6, 27), (29, 14), (3, 10), (5, 19), (18, 34), (34, 9), (3, 30), (21, 0), (1, 8), (32, 3), (31, 33), (22, 0), (28, 12), (1, 15), (27, 18), (4, 3), (9, 25), (14, 10), (15, 30), (12, 21), (23, 12), (8, 19), (3, 31), (3, 5), (8, 16), (11, 24), (28, 9), (22, 33), (29, 7), (16, 28), (33, 29), (20, 3), (22, 9), (12, 34), (16, 10), (6, 33), (15, 1), (22, 25), (13, 23), (6, 1), (0, 10), (18, 8), (1, 25), (27, 6), (33, 11), (23, 24), (12, 0), (26, 14), (32, 26), (34, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 33x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 19), (30, 31), (28, 9), (1, 29), (30, 21), (23, 20), (11, 6), (6, 13), (18, 10), (32, 22), (27, 21), (0, 1), (24, 23), (0, 9), (20, 2), (26, 28), (0, 28), (25, 11), (30, 7), (0, 2), (9, 18), (31, 17), (11, 19), (2, 2), (6, 23), (26, 25), (20, 16), (24, 31), (2, 6), (19, 9), (16, 1), (1, 18), (4, 20), (31, 26), (28, 14), (7, 22), (7, 4), (2, 12), (28, 31), (12, 4), (15, 15), (24, 3), (31, 14), (15, 23), (8, 26), (24, 17), (0, 25), (2, 11), (10, 21), (14, 13), (17, 2), (20, 31), (8, 8), (0, 10), (10, 14), (27, 17), (21, 7), (25, 27), (5, 32), (26, 20), (21, 32), (8, 0), (11, 17), (32, 2), (22, 23), (21, 8), (29, 4), (12, 5), (19, 30), (31, 30), (11, 2), (7, 21), (25, 20), (21, 16), (3, 31), (25, 8), (20, 27), (11, 12), (21, 1), (25, 29), (22, 12), (20, 32), (20, 3), (28, 10), (27, 23), (23, 5), (30, 9), (11, 23), (6, 18), (25, 5), (11, 32), (23, 7), (10, 28), (29, 34), (17, 24), (2, 31), (9, 23), (30, 8), (13, 2), (1, 15), (25, 28), (16, 24), (12, 28), (24, 14), (17, 11), (25, 31), (2, 4), (21, 31), (3, 12), (6, 5), (20, 13), (21, 9), (18, 31), (10, 0), (12, 10), (3, 10), (26, 27), (17, 20), (31, 6), (9, 11), (14, 0), (5, 16), (24, 21), (7, 19), (2, 3), (28, 5), (31, 19), (13, 5), (20, 8), (1, 30), (19, 25), (22, 0), (12, 20), (31, 18), (14, 14), (11, 16), (10, 32), (20, 11), (22, 25), (15, 14), (17, 12), (28, 28), (17, 27), (13, 23), (22, 17), (1, 6), (12, 33), (1, 22), (8, 34), (29, 28), (19, 23), (11, 13), (2, 27), (19, 4), (26, 23), (19, 1), (8, 31), (2, 29), (2, 13), (32, 6), (10, 18), (3, 33), (25, 33), (21, 21), (8, 12), (6, 17), (0, 32), (31, 9), (1, 2), (31, 3), (4, 5), (8, 20), (30, 34), (2, 23), (8, 11), (14, 19), (24, 1), (6, 25), (16, 15), (19, 7), (29, 33), (1, 32), (8, 19), (32, 5), (12, 7), (23, 22), (0, 33), (3, 29), (5, 33), (0, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 24), (1, 14), (17, 5), (14, 13), (22, 2), (14, 33), (3, 24), (27, 32), (11, 5), (5, 13), (16, 31), (31, 19), (8, 33), (26, 5), (25, 9), (29, 25), (5, 27), (25, 20), (7, 11), (1, 9), (9, 22), (27, 17), (27, 26), (25, 3), (2, 10), (11, 3), (27, 29), (4, 9), (24, 2), (29, 14), (25, 11), (26, 12), (21, 28), (18, 11), (0, 20), (10, 31), (30, 14), (22, 0), (4, 10), (9, 2), (12, 33), (21, 4), (27, 14), (16, 26), (22, 28), (10, 13), (8, 21), (23, 26), (31, 23), (20, 33), (21, 13), (4, 19), (22, 13), (18, 18), (4, 7), (0, 19), (24, 31), (0, 28), (30, 19), (12, 31), (1, 18), (5, 5), (25, 22), (13, 11), (12, 18), (2, 18), (17, 7), (9, 9), (13, 33), (3, 3), (11, 21), (28, 1), (21, 14), (19, 2), (17, 28), (21, 21), (27, 27), (12, 8), (13, 31), (1, 21), (2, 27), (21, 23), (5, 21), (22, 9), (23, 31), (5, 0), (10, 2), (28, 7), (10, 1), (15, 27), (30, 23), (25, 16), (1, 16), (19, 13), (13, 32), (6, 19), (24, 30), (12, 23), (30, 12), (25, 6), (7, 29), (19, 12), (19, 4), (31, 11), (22, 24), (9, 1), (21, 1), (18, 30), (13, 21), (28, 30), (17, 22), (7, 3), (3, 23), (11, 24), (5, 33), (27, 1), (23, 6), (5, 6), (28, 20), (0, 18), (18, 21), (27, 21), (30, 28), (13, 30), (5, 20), (7, 22), (19, 11), (31, 15), (6, 32), (30, 15), (6, 31), (17, 9), (14, 27), (2, 3), (27, 28), (29, 27), (17, 23), (17, 11), (2, 21), (10, 32), (5, 29), (8, 26), (24, 5), (28, 14), (24, 7), (28, 9), (0, 14), (5, 32), (17, 3), (9, 10), (12, 32), (29, 11), (15, 5), (31, 7), (31, 14), (3, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 17), (22, 16), (0, 15), (28, 30), (0, 26), (34, 13), (19, 6), (9, 12), (1, 9), (15, 24), (34, 15), (12, 27), (22, 24), (31, 5), (22, 14), (27, 15), (5, 1), (20, 3), (8, 27), (27, 10), (21, 11), (14, 30), (4, 12), (5, 15), (34, 10), (33, 27), (4, 3), (26, 16), (11, 3), (31, 14), (24, 11), (33, 18), (27, 3), (12, 7), (24, 22), (2, 21), (17, 27), (1, 2), (34, 7), (22, 13), (10, 9), (16, 25), (25, 11), (29, 29), (0, 30), (6, 19), (6, 12), (24, 30), (3, 1), (10, 7), (18, 11), (1, 3), (11, 4), (2, 0), (4, 21), (16, 30), (8, 9), (29, 26), (26, 11), (16, 16), (33, 5), (4, 13), (1, 12), (20, 22), (2, 15), (16, 19), (26, 27), (26, 24), (10, 13), (0, 4), (5, 10), (0, 9), (20, 25), (17, 6), (34, 0), (32, 15), (21, 3), (15, 13), (5, 3), (7, 23), (1, 0), (13, 15), (1, 14), (14, 8), (23, 16), (24, 8), (33, 25), (5, 7), (8, 18), (22, 5), (6, 20), (10, 21), (14, 5), (8, 5), (20, 20), (23, 25), (32, 18), (17, 24), (0, 6), (28, 23), (12, 2), (19, 11), (4, 26), (6, 23), (18, 6), (27, 11), (4, 22), (5, 21), (19, 13), (2, 4), (29, 15), (15, 7), (31, 27), (8, 14), (30, 20), (21, 12), (10, 11), (1, 8), (21, 20), (24, 24), (29, 9), (28, 28), (15, 9), (11, 17), (23, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 38x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 21), (36, 16), (34, 1), (22, 20), (18, 25), (1, 18), (6, 17), (0, 18), (37, 18), (30, 14), (15, 34), (13, 20), (19, 19), (2, 5), (20, 8), (23, 29), (20, 10), (22, 7), (34, 0), (10, 18), (17, 0), (14, 2), (9, 3), (29, 21), (13, 21), (12, 19), (12, 12), (33, 33), (0, 21), (16, 20), (21, 32), (8, 4), (32, 21), (7, 10), (2, 18), (33, 15), (24, 31), (1, 5), (36, 33), (30, 1), (24, 34), (12, 3), (34, 25), (6, 27), (36, 15), (20, 19), (0, 30), (14, 12), (37, 25), (10, 14), (10, 5), (10, 6), (1, 7), (33, 12), (13, 33), (35, 33), (8, 30), (0, 26), (10, 25), (25, 8), (15, 5), (8, 3), (18, 34), (20, 30), (34, 15), (26, 34), (31, 13), (35, 20), (0, 19), (18, 23), (15, 6), (12, 14), (4, 4), (4, 22), (20, 28), (1, 2), (20, 18), (31, 4), (20, 5), (14, 34), (36, 21), (21, 26), (4, 24), (25, 25), (11, 15), (17, 29), (29, 5), (36, 23), (31, 20), (9, 22), (28, 35), (29, 28), (23, 21), (6, 18), (9, 34), (5, 0), (1, 32), (36, 34), (37, 23), (9, 32), (18, 2), (6, 0), (1, 20), (2, 35), (35, 1), (34, 10), (17, 14), (26, 20), (2, 16), (5, 32), (5, 1), (21, 25), (16, 7), (33, 32), (31, 26), (8, 29), (23, 1), (0, 5), (11, 3), (34, 16), (12, 9), (2, 11), (15, 9), (7, 25), (11, 34), (1, 31), (10, 20), (26, 1), (22, 22), (25, 23), (26, 5), (15, 22), (25, 1), (6, 31), (7, 0), (30, 19), (14, 30), (11, 18), (29, 33), (7, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 11), (3, 30), (18, 20), (23, 6), (25, 19), (34, 10), (11, 0), (34, 11), (25, 23), (17, 19), (5, 23), (29, 17), (28, 28), (26, 20), (34, 18), (2, 36), (30, 8), (28, 1), (31, 9), (23, 10), (0, 7), (12, 4), (35, 20), (10, 22), (34, 12), (23, 3), (26, 16), (9, 22), (9, 19), (11, 7), (23, 14), (37, 9), (3, 17), (10, 1), (27, 16), (13, 8), (35, 8), (1, 18), (21, 35), (24, 20), (24, 28), (11, 14), (18, 28), (21, 4), (13, 24), (14, 9), (35, 16), (26, 18), (20, 6), (16, 1), (21, 32), (1, 21), (7, 6), (33, 13), (2, 8), (11, 5), (13, 17), (35, 13), (31, 21), (20, 31), (17, 14), (8, 23), (18, 32), (19, 36), (14, 24), (37, 0), (13, 20), (18, 5), (5, 7), (0, 30), (9, 31), (10, 21), (30, 29), (8, 11), (28, 27), (15, 7), (32, 19), (7, 24), (27, 8), (28, 34), (3, 1), (30, 10), (19, 6), (16, 6), (10, 2), (22, 34), (3, 16), (7, 7), (14, 5), (23, 32), (18, 18), (29, 23), (29, 31), (34, 22), (20, 27), (22, 23), (30, 3), (37, 6), (7, 16), (14, 3), (6, 8), (9, 24), (19, 11), (13, 9), (7, 14), (7, 30), (11, 21), (18, 15), (20, 3), (37, 3), (0, 9), (16, 34), (23, 0), (9, 14), (20, 17), (34, 33), (1, 0), (13, 6), (11, 1), (17, 3), (1, 22), (23, 35), (14, 33), (16, 22), (8, 0), (12, 1), (8, 33), (19, 23), (22, 25), (17, 24), (2, 29), (6, 35), (0, 12), (24, 32), (30, 36), (36, 4), (12, 2), (19, 16), (16, 4), (6, 10), (29, 11), (14, 26), (13, 30), (5, 36), (21, 23), (11, 16), (21, 16), (33, 10), (6, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 6), (16, 27), (23, 4), (22, 24), (12, 31), (36, 13), (30, 6), (13, 9), (26, 4), (10, 26), (18, 17), (22, 32), (14, 3), (1, 9), (15, 18), (22, 13), (26, 28), (32, 21), (15, 9), (23, 12), (5, 19), (12, 18), (29, 7), (2, 23), (15, 13), (21, 24), (14, 15), (26, 3), (23, 20), (29, 5), (8, 16), (19, 6), (9, 13), (19, 30), (13, 29), (3, 12), (19, 12), (3, 10), (21, 23), (35, 5), (6, 11), (17, 21), (20, 21), (27, 12), (22, 22), (13, 10), (18, 20), (20, 27), (35, 1), (17, 0), (7, 30), (33, 16), (30, 13), (20, 31), (35, 30), (25, 10), (35, 11), (25, 30), (5, 2), (36, 1), (3, 9), (25, 11), (30, 3), (13, 14), (5, 27), (33, 28), (11, 14), (16, 4), (3, 18), (30, 21), (18, 21), (31, 19), (32, 31), (22, 4), (21, 19), (20, 29), (14, 28), (30, 11), (15, 28), (10, 5), (30, 9), (14, 9), (19, 13), (36, 26), (8, 32), (3, 4), (35, 18), (0, 14), (22, 9), (19, 18), (31, 11), (21, 8), (8, 22), (11, 23), (35, 23), (15, 32), (7, 14), (31, 9), (21, 31), (34, 13), (10, 6), (6, 22), (33, 18), (4, 20), (25, 23), (1, 6), (19, 10), (29, 12), (17, 9), (24, 5), (25, 15), (11, 13), (18, 7), (33, 27), (22, 25), (34, 26), (22, 17), (8, 25), (14, 18), (12, 5), (11, 2), (18, 11), (28, 13), (34, 4), (25, 17), (29, 27), (31, 32), (23, 28), (27, 15), (30, 0), (5, 31), (19, 9), (31, 6), (6, 12), (32, 18), (11, 4), (25, 2), (24, 17), (4, 13), (16, 8), (7, 0), (21, 32), (0, 21), (4, 31), (10, 21), (5, 14), (2, 9), (25, 24), (6, 7), (7, 10), (23, 25), (21, 20), (36, 29), (31, 21), (3, 26), (8, 4), (18, 32), (31, 25), (14, 1), (26, 6), (32, 3), (3, 3), (15, 8), (13, 27), (1, 2), (24, 18), (34, 24), (14, 23), (30, 28), (10, 32), (23, 32), (24, 16), (14, 19), (14, 27), (20, 1), (8, 20), (21, 29), (24, 13), (21, 15), (4, 1), (27, 1), (33, 2), (11, 29), (10, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 33x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 19), (13, 11), (21, 26), (29, 25), (16, 27), (4, 9), (28, 24), (17, 22), (21, 9), (17, 33), (32, 17), (2, 22), (5, 34), (10, 7), (25, 20), (32, 5), (11, 19), (19, 27), (17, 29), (3, 4), (22, 23), (26, 25), (11, 7), (19, 1), (25, 31), (12, 9), (28, 22), (7, 26), (7, 30), (32, 21), (26, 35), (13, 17), (13, 8), (29, 34), (20, 12), (6, 27), (5, 11), (12, 25), (12, 3), (30, 10), (19, 32), (23, 0), (22, 22), (11, 9), (15, 17), (6, 35), (22, 6), (31, 16), (32, 7), (28, 21), (19, 0), (9, 26), (6, 31), (3, 24), (12, 18), (30, 24), (29, 21), (22, 30), (24, 35), (16, 6), (29, 12), (2, 14), (1, 17), (10, 6), (22, 31), (11, 17), (16, 19), (29, 7), (26, 26), (19, 15), (10, 14), (27, 6), (31, 14), (12, 11), (11, 12), (2, 34), (32, 22), (19, 3), (13, 30), (4, 0), (30, 22), (25, 27), (7, 33), (5, 29), (17, 20), (8, 2), (7, 27), (12, 28), (30, 29), (30, 6), (23, 29), (25, 34), (22, 3), (14, 15), (28, 30), (18, 15), (13, 19), (30, 32), (24, 31), (24, 17), (27, 24), (31, 27), (3, 6), (8, 10), (17, 19), (22, 25), (22, 8), (32, 13), (18, 30), (23, 33), (8, 18), (6, 32), (26, 7), (31, 25), (0, 33), (17, 4), (12, 2), (31, 18), (9, 19), (12, 33), (29, 28), (5, 16), (24, 32), (27, 28), (32, 23), (7, 18), (14, 2), (0, 29), (9, 0), (17, 23), (1, 13), (18, 10), (22, 17), (17, 14), (24, 3), (29, 27), (16, 15), (11, 16), (10, 22), (15, 32), (15, 25), (24, 5), (24, 16), (21, 16), (31, 24), (10, 15), (26, 0), (8, 21), (9, 13), (24, 26), (14, 4), (30, 12), (32, 8), (27, 0), (4, 21), (0, 16), (5, 27), (24, 6), (10, 31), (5, 30), (1, 6), (17, 34), (20, 24), (5, 15), (19, 12), (27, 15), (3, 2), (13, 18), (21, 31), (30, 17), (0, 27), (30, 18), (28, 25), (15, 26), (29, 1), (27, 14), (12, 19), (5, 13), (23, 2), (0, 7), (30, 33), (17, 0), (30, 20), (10, 4), (7, 14), (8, 6), (21, 18), (9, 15), (30, 11), (2, 23), (28, 32), (32, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 29), (6, 31), (29, 15), (19, 2), (21, 12), (28, 2), (6, 26), (11, 27), (34, 21), (10, 7), (0, 5), (32, 10), (35, 5), (34, 8), (7, 31), (7, 14), (20, 32), (28, 26), (29, 28), (32, 13), (24, 8), (33, 29), (30, 15), (2, 3), (1, 32), (0, 14), (21, 0), (1, 10), (31, 11), (26, 17), (8, 28), (8, 7), (4, 15), (6, 12), (16, 1), (8, 18), (17, 20), (13, 22), (23, 31), (21, 16), (18, 24), (16, 2), (4, 4), (16, 24), (15, 18), (9, 12), (30, 11), (12, 5), (7, 20), (17, 28), (22, 2), (29, 18), (15, 9), (15, 27), (6, 3), (13, 15), (15, 4), (20, 28), (10, 25), (21, 29), (11, 21), (33, 13), (34, 9), (9, 4), (5, 17), (2, 16), (25, 4), (35, 7), (4, 25), (0, 26), (21, 17), (11, 1), (6, 15), (32, 3), (12, 25), (2, 25), (9, 8), (36, 21), (30, 27), (6, 22), (9, 28), (18, 14), (35, 24), (3, 22), (21, 14), (3, 12), (10, 19), (21, 22), (34, 13), (23, 1), (31, 25), (14, 9), (27, 3), (5, 12), (9, 27), (28, 20), (26, 30), (24, 3), (12, 20), (12, 17), (22, 3), (20, 29), (26, 0), (21, 11), (13, 23), (28, 15), (12, 14), (36, 26), (35, 14), (31, 21), (29, 10), (10, 13), (24, 23), (10, 22), (1, 13), (7, 12), (6, 18), (4, 0), (30, 32), (8, 25), (13, 2), (15, 22), (32, 0), (35, 19), (4, 21), (7, 6), (28, 12), (36, 30), (26, 3), (12, 13), (7, 24), (25, 10), (0, 11), (22, 28), (35, 3), (28, 32), (6, 8), (9, 18), (17, 17), (9, 31), (34, 17), (25, 27), (29, 8), (17, 10), (27, 32), (33, 12), (18, 2), (24, 7), (22, 7), (35, 6), (23, 11), (7, 0), (8, 13), (12, 27), (23, 22), (31, 20), (4, 10), (7, 13), (16, 32), (5, 6), (36, 6), (7, 21), (7, 32), (4, 9), (33, 22), (28, 5), (17, 19), (27, 6), (4, 2), (4, 13), (17, 2), (31, 23), (34, 5), (35, 20), (31, 9), (3, 10), (12, 10), (23, 27), (4, 5), (4, 28), (31, 13), (26, 12), (30, 13), (27, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 26), (14, 1), (25, 10), (17, 9), (29, 19), (20, 36), (13, 12), (31, 13), (0, 21), (10, 32), (19, 19), (0, 26), (8, 20), (23, 31), (12, 35), (10, 7), (2, 1), (5, 5), (7, 34), (10, 18), (20, 9), (25, 21), (6, 26), (5, 24), (23, 11), (15, 32), (30, 1), (27, 20), (18, 5), (2, 9), (29, 13), (14, 31), (11, 35), (0, 11), (7, 21), (4, 7), (17, 15), (4, 26), (26, 27), (30, 27), (30, 32), (4, 0), (18, 36), (2, 16), (29, 2), (15, 31), (13, 26), (3, 19), (12, 3), (31, 28), (22, 10), (28, 12), (2, 27), (4, 30), (6, 16), (11, 25), (25, 25), (5, 28), (12, 33), (23, 33), (14, 29), (13, 7), (26, 33), (27, 35), (10, 20), (15, 18), (15, 9), (31, 4), (9, 26), (23, 13), (21, 31), (8, 15), (29, 11), (11, 24), (22, 21), (19, 22), (6, 8), (16, 32), (29, 4), (12, 13), (8, 34), (4, 34), (14, 23), (16, 35), (28, 5), (1, 25), (13, 28), (4, 5), (12, 16), (16, 11), (11, 27), (27, 33), (4, 19), (0, 23), (29, 16), (22, 20), (16, 20), (1, 8), (31, 7), (27, 10), (2, 32), (26, 10), (24, 30), (7, 5), (20, 33), (10, 22), (19, 26), (8, 21), (1, 32), (29, 5), (13, 21), (0, 8), (10, 10), (14, 10), (29, 15), (4, 11), (27, 22), (12, 36), (20, 27), (31, 20), (7, 17), (7, 24), (8, 26), (30, 35), (9, 19), (17, 27), (19, 10), (22, 13), (2, 12), (8, 11), (11, 28), (26, 30), (18, 28), (2, 17), (2, 30), (31, 5), (30, 8), (10, 14), (13, 36), (5, 8), (20, 22), (7, 3), (10, 24), (29, 23), (21, 5), (17, 0), (24, 19), (23, 27), (1, 14), (20, 11), (6, 33), (19, 32), (16, 2), (28, 32), (9, 2), (20, 29), (16, 30), (6, 18), (14, 33), (30, 4), (15, 2), (15, 4), (3, 3), (18, 27), (7, 30), (18, 32), (30, 7), (27, 23), (12, 10), (30, 19), (15, 27), (12, 9), (27, 32), (4, 33), (8, 0), (30, 9), (20, 35), (27, 5), (26, 7), (19, 14), (12, 31), (1, 36), (21, 23), (7, 4), (11, 13), (27, 0), (0, 4), (11, 7), (13, 0), (16, 26), (13, 22), (1, 16), (23, 10), (24, 23), (8, 9), (16, 4), (0, 32), (11, 31), (25, 8), (18, 26), (15, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 17), (13, 8), (16, 25), (20, 7), (10, 18), (31, 29), (26, 8), (3, 21), (31, 21), (33, 10), (29, 23), (21, 4), (6, 3), (0, 16), (19, 27), (22, 6), (14, 8), (27, 9), (28, 12), (22, 13), (15, 0), (4, 17), (14, 7), (6, 4), (14, 10), (3, 26), (5, 24), (4, 12), (10, 1), (35, 7), (7, 15), (34, 18), (16, 9), (28, 24), (17, 10), (12, 15), (31, 27), (6, 7), (20, 17), (27, 18), (31, 2), (5, 17), (6, 24), (22, 16), (1, 4), (30, 23), (13, 7), (29, 27), (33, 19), (11, 1), (3, 27), (31, 19), (5, 15), (17, 23), (28, 15), (11, 26), (7, 14), (32, 17), (35, 1), (23, 16), (27, 12), (35, 3), (15, 5), (14, 25), (6, 14), (23, 9), (1, 0), (1, 17), (12, 18), (27, 10), (18, 24), (32, 2), (0, 22), (6, 0), (18, 18), (10, 17), (10, 3), (1, 28), (21, 16), (24, 8), (23, 26), (13, 2), (12, 9), (16, 21), (24, 2), (18, 4), (29, 28), (2, 2), (6, 6), (8, 14), (34, 1), (31, 14), (32, 18), (7, 27), (24, 16), (26, 27), (13, 16), (25, 11), (27, 23), (30, 11), (6, 16), (24, 24), (3, 13), (35, 16), (21, 27), (30, 21), (8, 17), (5, 0), (30, 25), (14, 26), (34, 26), (12, 28), (16, 14), (13, 23), (11, 16), (1, 8), (34, 8), (10, 21), (24, 20), (10, 26), (0, 9), (29, 18), (3, 23), (17, 22), (16, 1), (35, 18), (23, 19), (0, 23), (26, 19), (17, 8), (1, 13), (1, 23), (33, 17), (8, 10), (4, 4), (26, 24), (23, 17), (21, 21), (16, 27), (10, 16), (3, 22), (5, 1), (18, 11), (21, 10), (13, 10), (15, 7), (26, 29), (5, 25), (21, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 15), (5, 14), (20, 13), (10, 30), (23, 13), (26, 1), (9, 16), (12, 4), (17, 1), (8, 9), (0, 23), (20, 17), (22, 17), (4, 17), (23, 18), (26, 20), (18, 3), (28, 3), (20, 6), (0, 30), (1, 3), (18, 12), (17, 13), (19, 6), (15, 4), (31, 29), (9, 9), (19, 29), (7, 30), (8, 17), (22, 23), (23, 31), (6, 27), (4, 30), (1, 5), (28, 10), (0, 18), (11, 7), (1, 24), (9, 15), (10, 29), (9, 7), (4, 5), (22, 25), (6, 24), (3, 13), (9, 3), (30, 0), (30, 28), (16, 29), (18, 19), (27, 10), (5, 8), (31, 11), (24, 27), (20, 8), (3, 3), (21, 14), (30, 22), (16, 28), (22, 31), (3, 1), (0, 4), (17, 29), (13, 16), (26, 2), (2, 28), (13, 5), (1, 1), (13, 19), (2, 27), (11, 31), (22, 4), (3, 6), (18, 0), (23, 0), (11, 17), (25, 1), (5, 21), (2, 15), (23, 28), (18, 22), (18, 16), (11, 6), (27, 22), (16, 7), (5, 23), (11, 14), (24, 11), (17, 20), (30, 15), (20, 2), (23, 3), (13, 17), (22, 26), (5, 9), (9, 22), (28, 12), (27, 15), (12, 30), (8, 23), (8, 0), (28, 19), (6, 0), (7, 16), (18, 9), (21, 29), (9, 27), (27, 16), (18, 25), (4, 14), (12, 1), (17, 2), (26, 14), (31, 8), (24, 1), (23, 21), (11, 11), (10, 14), (10, 8), (25, 9), (3, 17), (12, 14), (22, 7), (9, 12), (29, 9), (23, 30), (2, 25), (2, 1), (12, 21), (14, 1), (31, 7), (19, 12), (11, 1), (4, 3), (20, 31), (26, 12), (25, 20), (3, 19), (29, 27), (0, 3), (0, 20), (1, 31), (23, 15), (14, 25), (16, 3), (17, 10), (12, 17), (5, 5), (23, 11), (27, 25), (18, 24), (1, 23), (2, 20), (4, 23), (8, 4), (6, 10), (4, 20), (18, 13), (3, 7), (4, 2), (31, 10), (23, 23), (22, 22), (27, 23), (6, 14), (25, 2), (17, 22), (31, 25), (29, 3), (25, 6), (26, 17), (18, 2), (16, 25), (2, 22), (25, 16), (16, 23), (22, 15), (20, 20), (31, 18), (11, 12), (15, 0), (14, 31), (31, 1), (27, 12), (24, 29), (16, 9), (20, 27), (19, 19), (26, 27), (27, 7), (30, 13), (12, 24), (0, 8), (19, 3), (29, 30), (31, 15), (16, 12), (13, 2), (21, 28), (25, 15), (6, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 0), (13, 24), (31, 20), (2, 21), (2, 11), (12, 32), (19, 25), (35, 27), (35, 5), (34, 28), (12, 30), (17, 5), (1, 12), (29, 3), (30, 21), (4, 10), (8, 25), (23, 15), (5, 8), (32, 30), (16, 14), (28, 30), (3, 14), (22, 32), (3, 19), (20, 19), (3, 24), (10, 18), (16, 23), (11, 19), (35, 19), (28, 17), (11, 1), (1, 19), (1, 3), (9, 28), (22, 12), (12, 9), (27, 15), (30, 20), (5, 24), (12, 28), (10, 15), (20, 7), (31, 6), (31, 18), (8, 4), (6, 27), (32, 9), (2, 15), (10, 0), (35, 3), (2, 5), (20, 29), (23, 8), (4, 16), (17, 24), (2, 8), (16, 31), (35, 32), (4, 0), (9, 26), (18, 24), (29, 0), (10, 12), (31, 29), (6, 13), (21, 27), (8, 7), (22, 14), (32, 4), (21, 24), (27, 5), (35, 29), (2, 26), (21, 17), (7, 9), (23, 0), (12, 8), (27, 19), (22, 18), (25, 9), (0, 1), (21, 32), (0, 23), (7, 7), (5, 32), (17, 13), (9, 16), (2, 9), (12, 21), (26, 22), (18, 6), (26, 24), (11, 15), (14, 28), (4, 30), (26, 13), (31, 22), (5, 13), (30, 12), (20, 30), (35, 23), (36, 28), (15, 26), (31, 5), (26, 18), (2, 7), (8, 20), (25, 22), (3, 20), (36, 30), (32, 23), (1, 14), (0, 9), (7, 15), (21, 18), (33, 0), (18, 3), (12, 22), (7, 5), (22, 30), (17, 18), (4, 29), (7, 28), (8, 22), (1, 21), (32, 5), (14, 8), (12, 23), (0, 13), (33, 15), (27, 24), (15, 30), (13, 10), (33, 11), (13, 29), (34, 10), (18, 8), (29, 11), (15, 12), (5, 4), (31, 2), (16, 28), (32, 3), (30, 5), (9, 15), (8, 10), (10, 25), (11, 11), (34, 3), (23, 6), (21, 15), (7, 29), (10, 22), (35, 20), (7, 16), (17, 15), (33, 12), (0, 18), (9, 30), (22, 22), (16, 32), (32, 0), (26, 20), (17, 26), (33, 18), (24, 7), (7, 3), (1, 4), (23, 11), (25, 2), (1, 5), (10, 30), (24, 26), (9, 17), (8, 17), (20, 3), (4, 14), (21, 3), (30, 3), (20, 11), (19, 20), (13, 2), (30, 24), (13, 26), (20, 13), (29, 25), (26, 7), (4, 18), (27, 3), (7, 31), (34, 16), (28, 31), (1, 22), (31, 4), (25, 28), (15, 22), (12, 18), (5, 25), (1, 10), (26, 16), (20, 23), (19, 21), (7, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 30), (31, 28), (6, 0), (6, 23), (15, 8), (11, 33), (38, 12), (30, 16), (17, 23), (25, 30), (0, 4), (13, 22), (20, 4), (4, 4), (18, 15), (17, 32), (33, 24), (16, 13), (34, 30), (13, 19), (38, 4), (7, 21), (30, 13), (7, 22), (21, 34), (5, 19), (17, 18), (2, 37), (35, 5), (6, 13), (4, 18), (8, 18), (37, 28), (28, 28), (12, 17), (36, 30), (33, 16), (37, 7), (13, 10), (15, 31), (15, 21), (5, 1), (23, 24), (18, 19), (8, 28), (29, 25), (35, 4), (2, 24), (8, 23), (15, 12), (10, 22), (36, 6), (1, 15), (11, 35), (1, 12), (8, 17), (2, 29), (5, 27), (16, 6), (18, 14), (3, 29), (24, 22), (14, 13), (19, 1), (19, 16), (10, 17), (18, 25), (2, 26), (10, 28), (18, 13), (15, 23), (30, 35), (21, 1), (7, 31), (14, 32), (7, 27), (24, 11), (26, 5), (8, 19), (5, 20), (15, 10), (2, 4), (16, 4), (16, 19), (22, 5), (26, 25), (36, 36), (10, 34), (34, 1), (9, 4), (12, 19), (23, 16), (23, 30), (7, 15), (5, 2), (8, 29), (6, 24), (4, 28), (34, 32), (32, 6), (30, 29), (22, 10), (31, 8), (21, 30), (31, 2), (30, 15), (35, 3), (19, 4), (15, 5), (36, 23), (6, 1), (36, 19), (36, 4), (7, 32), (23, 22), (14, 33), (30, 36), (37, 26), (25, 29), (19, 27), (17, 3), (32, 32), (12, 20), (17, 34), (13, 30), (17, 21), (4, 31), (34, 33), (25, 32), (33, 23), (1, 22), (38, 35), (28, 36), (26, 23), (38, 2), (0, 34), (20, 3), (11, 29), (32, 8), (11, 20), (28, 10), (38, 19), (15, 1), (24, 35), (13, 21), (31, 17), (16, 0), (20, 34), (27, 35), (1, 19), (8, 26), (17, 0), (14, 8), (16, 28), (25, 17), (13, 34), (25, 33), (14, 29), (33, 5), (27, 26), (26, 32), (15, 30), (16, 34), (26, 12), (1, 0), (36, 16), (4, 32), (2, 18), (10, 20), (22, 9), (25, 18), (22, 15), (3, 3), (33, 30), (9, 3), (12, 1), (28, 35), (28, 34), (4, 12), (10, 8), (25, 10), (2, 1), (37, 22), (25, 5), (16, 21), (18, 5), (19, 28), (35, 18), (13, 12), (10, 30), (12, 22), (12, 27), (3, 33), (9, 33), (33, 26), (26, 22), (3, 28), (31, 23), (24, 25), (15, 22), (11, 31), (20, 11), (24, 30), (13, 25), (10, 29), (0, 31), (22, 4), (38, 5), (28, 24), (33, 7), (29, 16), (30, 1), (18, 34), (25, 25), (26, 29), (14, 18), (9, 13), (3, 12), (8, 2), (19, 32), (20, 36), (3, 24), (34, 12), (27, 7), (15, 35), (27, 25), (33, 31), (30, 10), (10, 9), (23, 18), (5, 5), (10, 16), (7, 11), (27, 20), (8, 7), (33, 2), (36, 9), (23, 10), (34, 19), (3, 16), (20, 35), (37, 5), (18, 37), (1, 3), (38, 25), (30, 2), (23, 28), (26, 8), (34, 11), (23, 3), (1, 26), (36, 24), (9, 34), (16, 23), (17, 20), (21, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 30x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 27), (3, 8), (20, 11), (13, 28), (21, 27), (6, 5), (16, 15), (9, 2), (5, 12), (4, 10), (28, 26), (12, 18), (17, 14), (6, 14), (4, 30), (5, 2), (0, 12), (24, 8), (27, 21), (5, 26), (10, 20), (6, 1), (16, 21), (16, 14), (0, 22), (4, 32), (6, 21), (28, 6), (22, 30), (29, 17), (12, 27), (27, 15), (29, 25), (19, 7), (28, 20), (12, 28), (21, 3), (25, 2), (19, 24), (18, 26), (17, 27), (15, 21), (19, 16), (0, 2), (14, 20), (16, 13), (9, 14), (21, 19), (28, 3), (15, 20), (17, 9), (29, 7), (9, 19), (3, 18), (0, 15), (29, 19), (8, 27), (27, 30), (12, 22), (10, 26), (25, 13), (2, 4), (26, 28), (12, 1), (22, 26), (8, 25), (23, 5), (14, 21), (23, 30), (27, 17), (22, 25), (4, 22), (6, 2), (5, 4), (22, 16), (19, 1), (0, 5), (21, 31), (14, 5), (2, 7), (7, 0), (13, 8), (23, 31), (26, 2), (12, 14), (7, 13), (13, 0), (2, 28), (26, 22), (28, 8), (19, 20), (13, 15), (8, 10), (20, 22), (4, 0), (25, 9), (3, 6), (22, 29), (14, 9), (2, 22), (26, 24), (20, 21), (2, 6), (15, 10), (26, 21), (9, 12), (15, 5), (4, 11), (18, 1), (2, 11), (15, 25), (2, 27), (21, 7), (23, 1), (8, 7), (19, 4), (29, 20), (23, 9), (8, 3), (29, 27), (19, 32), (2, 15), (15, 8), (5, 29), (11, 8), (27, 12), (0, 1), (15, 29), (3, 17), (16, 27), (23, 27), (13, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 10), (8, 24), (1, 5), (17, 18), (29, 0), (0, 2), (8, 28), (6, 34), (8, 16), (7, 5), (15, 4), (31, 15), (9, 21), (1, 6), (24, 19), (9, 20), (17, 7), (11, 24), (21, 37), (14, 5), (1, 11), (7, 23), (25, 11), (25, 29), (29, 29), (27, 10), (19, 29), (16, 34), (4, 14), (8, 36), (9, 7), (5, 15), (29, 26), (12, 13), (13, 14), (4, 15), (33, 30), (32, 28), (3, 27), (4, 32), (29, 6), (1, 8), (9, 37), (25, 1), (13, 38), (5, 11), (26, 19), (8, 33), (0, 4), (29, 20), (22, 23), (23, 29), (31, 28), (16, 15), (30, 6), (19, 4), (23, 27), (18, 27), (5, 1), (29, 36), (2, 4), (5, 22), (25, 24), (12, 34), (22, 7), (20, 30), (21, 31), (7, 12), (1, 13), (22, 19), (7, 36), (24, 11), (16, 28), (28, 6), (2, 38), (34, 34), (26, 33), (11, 11), (34, 4), (6, 32), (22, 37), (23, 6), (7, 0), (18, 20), (28, 24), (14, 17), (5, 34), (4, 36), (10, 21), (14, 10), (9, 31), (2, 9), (3, 8), (29, 7), (17, 14), (33, 15), (1, 21), (9, 5), (23, 0), (33, 11), (15, 28), (1, 38), (15, 8), (13, 29), (9, 2), (7, 10), (17, 26), (31, 20), (12, 14), (4, 16), (13, 18), (26, 13), (4, 24), (11, 26), (18, 1), (28, 25), (27, 8), (31, 3), (0, 34), (28, 4), (17, 30), (24, 31), (5, 18), (3, 1), (13, 20), (6, 7), (2, 12), (32, 8), (4, 35), (20, 15), (28, 7), (21, 25), (17, 31), (18, 33), (8, 30), (13, 26), (20, 22), (13, 17), (0, 37), (4, 30), (23, 22), (23, 19), (11, 14), (29, 5), (9, 3), (5, 17), (2, 34), (7, 18), (9, 19), (1, 9), (6, 24), (3, 4), (12, 11), (20, 25), (22, 15), (31, 38), (12, 16), (23, 24), (31, 13), (4, 3), (28, 16), (1, 35), (32, 24), (12, 3), (12, 15), (12, 0), (9, 9), (20, 18), (23, 7), (32, 36), (0, 19), (22, 34), (25, 35), (27, 36), (17, 8), (33, 37), (0, 23), (3, 17), (0, 14), (12, 4), (16, 23), (9, 26), (3, 15), (4, 4), (20, 14), (16, 19), (4, 11), (27, 19), (19, 12), (18, 19), (15, 11), (10, 18), (12, 18), (0, 33), (17, 16), (6, 12), (7, 2), (19, 17), (9, 23), (2, 31), (17, 11), (30, 14), (31, 1), (0, 20), (11, 2), (21, 7), (21, 12), (1, 33), (11, 3), (24, 4), (27, 35), (5, 37), (30, 37), (6, 8), (3, 25), (6, 0), (34, 8), (5, 21), (29, 4), (1, 18), (29, 21), (7, 8), (9, 12), (29, 32), (23, 10), (2, 30), (18, 9), (21, 0), (5, 7), (6, 23), (25, 30), (27, 27), (18, 37), (26, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 38x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 18), (3, 11), (14, 11), (28, 22), (11, 27), (30, 10), (27, 25), (37, 8), (2, 6), (30, 25), (18, 15), (0, 8), (1, 2), (10, 4), (26, 21), (11, 21), (24, 19), (13, 17), (36, 0), (17, 1), (22, 31), (21, 20), (15, 25), (18, 2), (2, 5), (28, 6), (32, 16), (5, 4), (19, 31), (0, 16), (19, 20), (32, 7), (16, 7), (25, 23), (30, 31), (3, 17), (33, 30), (9, 3), (35, 30), (35, 25), (6, 1), (30, 9), (6, 2), (30, 8), (20, 10), (33, 10), (10, 30), (29, 17), (30, 29), (5, 0), (18, 16), (7, 34), (18, 22), (13, 19), (17, 2), (10, 29), (34, 32), (11, 26), (21, 16), (1, 15), (11, 11), (26, 33), (20, 32), (13, 23), (14, 0), (16, 9), (27, 14), (19, 33), (6, 8), (2, 2), (34, 22), (29, 10), (24, 34), (36, 5), (22, 28), (13, 11), (34, 4), (15, 32), (33, 3), (30, 15), (5, 5), (33, 26), (33, 0), (2, 19), (31, 19), (15, 11), (3, 18), (15, 6), (3, 30), (1, 8), (36, 18), (31, 21), (17, 17), (31, 0), (2, 3), (8, 33), (5, 29), (6, 25), (14, 30), (37, 17), (32, 27), (27, 23), (24, 6), (6, 32), (13, 21), (30, 13), (35, 2), (24, 31), (7, 30), (20, 15), (8, 22), (11, 6), (18, 20), (12, 7), (14, 6), (0, 27), (29, 15), (22, 24), (1, 22), (7, 7), (31, 18), (0, 32), (36, 31), (18, 19), (5, 20), (25, 28), (5, 26), (4, 19), (11, 12), (10, 31), (28, 4), (13, 33), (14, 18), (30, 12), (10, 1), (23, 3), (4, 26), (33, 6), (16, 30), (20, 28), (18, 13), (29, 33), (34, 12), (1, 5), (16, 18), (9, 26), (21, 0), (4, 34), (22, 9), (31, 10), (11, 5), (22, 29), (7, 15), (36, 34), (34, 27), (25, 17), (23, 5), (13, 1), (20, 12), (14, 21), (4, 1), (9, 19), (31, 14), (29, 28), (12, 9), (16, 20), (37, 23), (2, 8), (5, 32), (21, 13), (24, 22), (23, 13), (36, 15), (6, 13), (20, 33), (32, 29), (22, 16), (34, 24), (22, 4), (32, 19), (19, 7), (27, 18), (37, 15), (14, 20), (23, 21), (16, 0), (26, 9), (11, 16), (10, 23), (37, 29), (7, 31), (3, 27), (27, 32), (0, 19), (8, 19), (34, 16), (25, 30), (29, 29), (16, 28), (6, 15), (22, 25), (30, 3), (20, 14), (8, 3), (9, 34), (20, 30), (31, 5), (19, 6), (2, 31), (18, 10), (5, 14), (19, 28), (36, 19), (20, 23), (33, 15), (2, 4), (22, 32), (15, 16), (32, 15), (10, 8), (11, 15), (23, 1), (1, 11), (27, 22), (12, 4), (30, 27), (16, 25), (36, 32), (21, 19), (7, 19), (27, 10), (10, 2), (27, 12), (24, 32), (29, 13), (7, 11), (3, 32), (28, 21), (15, 24), (28, 30), (17, 24), (10, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 20), (24, 33), (11, 13), (7, 25), (12, 3), (5, 30), (7, 16), (2, 27), (1, 24), (30, 12), (27, 2), (15, 18), (8, 1), (25, 15), (21, 1), (13, 19), (13, 20), (28, 8), (12, 19), (15, 13), (0, 24), (4, 1), (0, 20), (9, 29), (3, 19), (30, 6), (7, 27), (19, 8), (19, 10), (11, 34), (10, 1), (4, 18), (24, 1), (17, 12), (21, 25), (19, 1), (26, 10), (27, 26), (10, 5), (19, 11), (21, 31), (18, 37), (29, 29), (3, 23), (14, 15), (2, 23), (13, 13), (29, 3), (7, 34), (13, 15), (24, 13), (21, 20), (17, 35), (18, 25), (16, 21), (28, 32), (26, 18), (16, 18), (0, 5), (22, 18), (7, 33), (27, 4), (14, 4), (4, 31), (4, 25), (4, 0), (25, 18), (16, 25), (3, 1), (25, 32), (18, 31), (2, 28), (19, 13), (5, 10), (29, 28), (15, 10), (20, 11), (10, 35), (10, 8), (19, 26), (22, 20), (9, 36), (10, 15), (17, 11), (18, 18), (30, 35), (1, 32), (25, 24), (31, 35), (15, 4), (17, 37), (20, 30), (10, 21), (12, 4), (31, 2), (31, 28), (26, 33), (19, 14), (4, 19), (5, 20), (25, 11), (1, 25), (11, 35), (10, 28), (21, 30), (12, 10), (12, 2), (9, 0), (14, 30), (23, 36), (2, 14), (5, 29), (1, 4), (20, 15), (17, 29), (26, 1), (24, 28), (13, 31), (0, 35), (13, 21), (24, 9), (10, 0), (7, 5), (14, 33), (11, 30), (28, 28), (26, 35), (17, 14), (14, 0), (25, 34), (28, 11), (19, 34), (12, 13), (6, 5), (23, 8), (0, 3), (29, 17), (20, 17), (10, 17), (24, 11), (26, 16), (15, 31), (27, 12), (16, 5), (21, 24), (14, 14), (22, 0), (25, 4), (9, 5), (31, 16), (2, 11), (28, 17), (8, 10), (11, 28), (23, 33), (14, 8), (23, 32), (2, 6), (22, 12), (7, 8), (21, 23), (31, 4), (6, 2), (24, 16), (0, 31), (24, 37), (8, 19), (19, 6), (8, 32), (29, 33), (2, 17), (23, 21), (21, 13), (2, 37), (29, 2), (1, 19), (31, 10), (23, 29), (14, 22), (26, 3), (8, 18), (18, 34), (16, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 21), (26, 31), (19, 2), (0, 6), (4, 31), (27, 22), (29, 31), (1, 16), (35, 28), (31, 9), (23, 16), (14, 31), (7, 25), (2, 17), (4, 13), (19, 20), (9, 30), (1, 1), (16, 22), (24, 20), (34, 33), (22, 8), (23, 24), (26, 14), (20, 18), (1, 0), (24, 33), (11, 26), (0, 8), (11, 10), (11, 27), (35, 1), (22, 1), (12, 33), (29, 4), (6, 29), (33, 19), (7, 33), (22, 0), (3, 24), (25, 20), (1, 6), (20, 31), (19, 24), (19, 1), (5, 32), (18, 14), (9, 25), (19, 32), (25, 12), (1, 26), (32, 1), (32, 33), (9, 1), (31, 32), (17, 4), (3, 2), (32, 5), (11, 7), (24, 2), (30, 10), (16, 18), (23, 23), (4, 0), (5, 1), (12, 11), (5, 20), (2, 18), (19, 17), (27, 27), (23, 21), (34, 15), (25, 30), (8, 12), (35, 31), (34, 5), (31, 34), (9, 20), (6, 17), (23, 31), (25, 15), (18, 22), (35, 10), (29, 11), (16, 15), (9, 15), (4, 3), (4, 12), (20, 32), (21, 24), (10, 21), (9, 28), (35, 6), (15, 30), (8, 33), (14, 18), (6, 21), (17, 20), (25, 4), (17, 23), (29, 8), (27, 12), (12, 29), (15, 33), (25, 34), (14, 4), (11, 29), (35, 9), (6, 34), (23, 15), (34, 6), (10, 8), (22, 32), (19, 14), (12, 1), (6, 30), (10, 5), (6, 25), (28, 0), (26, 7), (14, 25), (28, 28), (10, 18), (18, 27), (33, 31), (21, 21), (8, 31), (22, 28), (21, 13), (12, 5), (27, 33), (4, 1), (24, 22), (28, 8), (33, 6), (7, 0), (23, 2), (29, 22), (18, 2), (0, 19), (35, 27), (33, 3), (27, 1), (31, 12), (20, 16), (13, 21), (3, 14), (27, 30), (17, 7), (28, 34), (9, 6), (15, 10), (17, 9), (4, 25), (31, 28), (10, 9), (28, 21), (34, 14), (32, 32), (17, 13), (34, 25), (30, 2), (31, 31), (31, 11), (21, 19), (22, 6), (23, 11), (25, 31), (23, 28), (33, 5), (1, 9), (5, 18), (11, 24), (2, 10), (21, 7), (35, 19), (25, 24), (0, 20), (9, 17), (15, 14), (24, 14), (13, 30), (4, 10), (5, 22), (6, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 30x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 2), (27, 15), (2, 11), (6, 14), (10, 1), (2, 5), (20, 13), (26, 19), (18, 13), (27, 4), (15, 24), (26, 5), (25, 18), (1, 13), (10, 18), (14, 22), (26, 23), (6, 17), (8, 12), (29, 13), (14, 21), (4, 22), (16, 19), (28, 23), (24, 10), (19, 14), (4, 4), (13, 14), (4, 13), (23, 0), (26, 29), (4, 28), (26, 13), (17, 13), (14, 27), (12, 7), (10, 27), (4, 25), (9, 29), (15, 19), (9, 10), (8, 16), (10, 23), (5, 14), (17, 7), (20, 20), (8, 15), (3, 22), (6, 29), (18, 16), (12, 21), (23, 26), (0, 20), (23, 10), (8, 26), (26, 7), (9, 26), (17, 4), (17, 16), (19, 24), (12, 23), (18, 0), (0, 21), (22, 16), (25, 3), (10, 7), (0, 22), (28, 14), (28, 25), (5, 15), (1, 18), (20, 15), (25, 1), (12, 3), (26, 6), (4, 26), (2, 8), (18, 2), (19, 7), (22, 4), (7, 26), (4, 8), (21, 0), (6, 25), (12, 22), (16, 20), (4, 10), (4, 15), (4, 11), (14, 12), (18, 18), (12, 11), (17, 21), (0, 26), (15, 29), (16, 13), (21, 13), (13, 27), (0, 29), (0, 8), (1, 28), (22, 18), (4, 1), (6, 5), (9, 27), (7, 20), (12, 19), (17, 0), (17, 6), (29, 23), (21, 23), (12, 20), (23, 9), (29, 21), (9, 25), (27, 6), (19, 23), (7, 28), (24, 16), (15, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 34x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 15), (24, 10), (7, 14), (26, 4), (2, 23), (12, 1), (23, 0), (0, 22), (27, 3), (14, 18), (7, 7), (7, 28), (28, 0), (32, 6), (17, 9), (1, 21), (20, 33), (6, 10), (5, 32), (29, 22), (0, 33), (9, 9), (1, 36), (33, 2), (22, 37), (12, 19), (33, 1), (20, 20), (27, 8), (31, 38), (20, 7), (24, 21), (28, 9), (4, 12), (21, 1), (17, 23), (21, 34), (0, 20), (2, 1), (3, 21), (20, 0), (9, 1), (1, 7), (18, 16), (6, 28), (16, 27), (12, 20), (21, 11), (2, 31), (11, 23), (28, 8), (23, 22), (22, 30), (3, 16), (27, 22), (10, 15), (24, 1), (5, 20), (25, 12), (32, 18), (8, 20), (2, 21), (13, 22), (0, 2), (27, 34), (7, 30), (12, 30), (26, 16), (27, 28), (33, 5), (26, 2), (1, 24), (20, 8), (7, 35), (5, 28), (3, 15), (24, 17), (6, 6), (20, 10), (9, 27), (22, 10), (28, 4), (30, 0), (23, 11), (10, 29), (1, 35), (18, 19), (30, 3), (17, 19), (10, 23), (6, 4), (23, 25), (2, 8), (27, 11), (23, 32), (10, 0), (33, 19), (24, 22), (22, 32), (32, 24), (14, 25), (25, 29), (13, 0), (7, 8), (31, 1), (16, 31), (20, 12), (33, 28), (9, 33), (31, 33), (21, 0), (1, 15), (11, 17), (25, 10), (29, 7), (32, 9), (22, 4), (9, 16), (10, 28), (1, 25), (20, 15), (25, 14), (19, 7), (31, 37), (16, 24), (15, 13), (27, 2), (14, 16), (4, 34), (8, 27), (3, 6), (10, 12), (24, 26), (23, 6), (14, 6), (8, 35), (1, 38), (26, 24), (27, 25), (5, 4), (30, 26), (7, 13), (8, 7), (3, 22), (25, 11), (13, 36), (4, 31), (10, 26), (18, 28), (15, 23), (31, 9), (29, 13), (15, 34), (10, 2), (7, 33), (25, 27), (6, 29), (28, 30), (0, 7), (19, 22), (32, 20), (24, 5), (30, 36), (22, 29), (1, 26), (3, 26), (16, 33), (20, 27), (29, 28), (22, 17), (17, 10), (14, 20), (23, 4), (26, 20), (21, 12), (21, 17), (16, 21), (27, 23), (12, 26), (16, 23), (25, 6), (33, 35), (27, 29), (19, 2), (11, 10), (32, 33), (9, 31), (4, 20), (23, 14), (4, 23), (33, 4), (23, 10), (12, 33), (7, 4), (15, 38), (22, 23), (2, 25), (29, 37), (11, 6), (22, 21), (27, 27), (18, 21), (26, 18), (19, 38), (11, 36), (16, 14), (18, 11), (27, 6), (30, 30), (5, 27), (32, 7), (8, 16), (8, 23), (2, 20), (8, 25), (1, 22), (0, 1), (15, 10), (28, 38), (23, 7), (8, 15), (32, 29), (8, 38), (9, 13), (22, 13), (12, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 15), (7, 0), (3, 4), (35, 11), (25, 22), (30, 22), (18, 18), (3, 0), (18, 25), (34, 18), (14, 10), (25, 10), (33, 0), (28, 15), (13, 13), (6, 5), (19, 33), (24, 9), (3, 5), (15, 25), (23, 8), (32, 33), (25, 27), (13, 6), (32, 30), (15, 33), (12, 33), (5, 25), (12, 14), (24, 1), (21, 33), (6, 19), (27, 2), (21, 31), (17, 18), (2, 13), (14, 19), (2, 10), (25, 13), (12, 20), (34, 22), (9, 4), (8, 16), (24, 19), (21, 0), (29, 33), (31, 7), (34, 23), (32, 28), (20, 23), (24, 29), (29, 11), (15, 8), (7, 23), (30, 33), (13, 30), (20, 29), (26, 30), (35, 9), (19, 13), (15, 16), (3, 21), (4, 10), (11, 5), (9, 27), (4, 7), (31, 18), (24, 0), (6, 6), (31, 8), (2, 19), (6, 15), (32, 21), (1, 1), (35, 28), (8, 14), (25, 20), (9, 10), (27, 24), (24, 15), (28, 13), (25, 30), (32, 4), (7, 21), (5, 15), (32, 24), (15, 12), (32, 3), (16, 4), (23, 23), (12, 2), (10, 13), (3, 27), (31, 5), (29, 12), (26, 10), (33, 9), (34, 24), (24, 32), (6, 18), (13, 18), (3, 20), (6, 30), (2, 26), (34, 6), (20, 20), (28, 3), (30, 1), (7, 24), (14, 12), (32, 23), (29, 8), (25, 21), (33, 29), (17, 20), (5, 2), (33, 24), (2, 30), (9, 11), (32, 7), (28, 16), (3, 16), (17, 19), (30, 3), (12, 10), (16, 27), (7, 11), (10, 15), (3, 10), (1, 8), (8, 17), (11, 17), (32, 27), (0, 26), (27, 8), (9, 21), (24, 26), (11, 12), (18, 2), (13, 7), (14, 17), (18, 1), (3, 12), (32, 13), (16, 14), (34, 1), (22, 33), (20, 21), (24, 6), (33, 13), (13, 21), (14, 14), (26, 33), (12, 21), (20, 14), (24, 10), (34, 28), (15, 13), (19, 14), (17, 10), (23, 6), (24, 30), (19, 1), (15, 27), (26, 7), (1, 5), (25, 12), (24, 13), (4, 21), (34, 13), (25, 28), (26, 13), (32, 2), (5, 6), (17, 5), (14, 13), (25, 2), (15, 24), (22, 4), (35, 14), (9, 17), (10, 19), (29, 6), (16, 3), (0, 16), (6, 14), (6, 11), (25, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 11), (20, 26), (23, 0), (23, 22), (16, 28), (20, 14), (33, 9), (1, 10), (13, 22), (6, 10), (2, 24), (17, 30), (25, 31), (22, 23), (28, 13), (12, 17), (11, 11), (18, 31), (28, 31), (20, 27), (10, 30), (0, 1), (33, 6), (12, 12), (19, 17), (12, 0), (16, 22), (21, 12), (31, 29), (32, 27), (14, 12), (4, 27), (1, 7), (31, 23), (11, 21), (1, 9), (23, 25), (13, 21), (18, 17), (32, 14), (2, 19), (1, 25), (26, 8), (5, 15), (20, 24), (7, 10), (8, 28), (17, 24), (6, 21), (14, 28), (1, 28), (9, 22), (20, 20), (10, 22), (6, 22), (30, 3), (21, 23), (27, 1), (2, 27), (33, 24), (19, 16), (5, 19), (0, 26), (26, 28), (25, 16), (14, 8), (28, 32), (33, 17), (18, 0), (0, 15), (31, 31), (9, 18), (6, 8), (22, 3), (28, 19), (33, 32), (11, 8), (5, 5), (26, 11), (27, 2), (5, 21), (33, 20), (32, 6), (27, 20), (20, 7), (31, 16), (6, 24), (15, 2), (14, 1), (9, 24), (6, 6), (20, 0), (8, 19), (5, 6), (15, 24), (12, 10), (22, 15), (16, 10), (21, 2), (1, 12), (21, 22), (4, 12), (15, 16), (13, 32), (8, 6), (3, 26), (31, 3), (16, 30), (33, 27), (15, 20), (29, 27), (11, 25), (4, 13), (9, 15), (26, 14), (11, 4), (31, 7), (31, 30), (26, 29), (18, 2), (21, 7), (34, 20), (1, 27), (9, 3), (10, 15), (30, 28), (34, 6), (16, 13), (16, 20), (30, 20), (0, 18), (28, 14), (23, 26), (25, 5), (8, 13), (10, 31), (0, 14), (13, 31), (10, 20), (17, 8), (7, 22), (11, 14), (17, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 0), (8, 20), (11, 5), (29, 32), (15, 28), (11, 26), (0, 22), (29, 25), (25, 21), (7, 20), (0, 19), (36, 13), (13, 21), (22, 21), (23, 25), (28, 33), (26, 22), (34, 24), (7, 0), (27, 27), (28, 32), (30, 30), (3, 32), (19, 0), (5, 23), (15, 11), (30, 4), (34, 14), (20, 19), (0, 30), (6, 22), (24, 5), (8, 8), (28, 20), (36, 23), (12, 28), (5, 12), (14, 19), (14, 18), (25, 19), (17, 14), (29, 6), (23, 2), (3, 34), (31, 14), (4, 6), (2, 6), (27, 5), (14, 13), (23, 28), (10, 10), (30, 7), (16, 12), (20, 26), (22, 34), (14, 11), (8, 33), (33, 14), (9, 31), (27, 15), (7, 29), (18, 28), (4, 2), (25, 25), (18, 33), (4, 23), (7, 33), (5, 11), (23, 17), (6, 0), (27, 33), (32, 19), (7, 2), (29, 2), (33, 13), (23, 1), (4, 34), (22, 5), (11, 33), (34, 25), (29, 11), (7, 3), (3, 25), (35, 12), (25, 0), (31, 23), (34, 19), (8, 26), (12, 10), (17, 32), (18, 10), (33, 22), (19, 8), (0, 17), (34, 26), (25, 3), (25, 17), (19, 27), (31, 19), (19, 4), (14, 28), (24, 29), (28, 31), (3, 3), (32, 30), (8, 12), (18, 8), (2, 11), (14, 2), (9, 27), (29, 34), (19, 7), (2, 15), (29, 0), (9, 34), (27, 7), (19, 23), (29, 17), (35, 13), (15, 31), (6, 20), (20, 30), (26, 16), (15, 5), (32, 12), (16, 14), (20, 29), (32, 28), (14, 22), (27, 3), (18, 25), (18, 11), (27, 0), (13, 12), (31, 17), (22, 28), (3, 8), (19, 32), (33, 5), (24, 28), (25, 10), (0, 27), (14, 29), (36, 32), (21, 19), (35, 10), (15, 18), (30, 25), (28, 6), (6, 11), (35, 18), (21, 9), (5, 9), (14, 8), (32, 10), (34, 12), (13, 20), (1, 5), (22, 3), (27, 18), (24, 33), (16, 29), (10, 23), (32, 5), (34, 27), (26, 7), (9, 15), (7, 6), (9, 2), (6, 10), (36, 17), (13, 4), (25, 14), (2, 1), (13, 25), (24, 17), (19, 13), (24, 31), (4, 9), (13, 5), (28, 26), (9, 19), (0, 11), (19, 1), (32, 3), (5, 22), (8, 24), (26, 10), (2, 22), (35, 32), (33, 32), (2, 7), (6, 2), (27, 4), (13, 7), (24, 2), (6, 19), (27, 6), (13, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 9), (6, 7), (13, 30), (13, 2), (8, 1), (26, 24), (30, 4), (2, 10), (23, 9), (17, 3), (0, 5), (9, 6), (23, 28), (29, 27), (22, 19), (35, 21), (15, 31), (28, 27), (26, 9), (9, 19), (5, 8), (21, 34), (16, 21), (1, 29), (14, 19), (20, 0), (18, 14), (33, 16), (27, 22), (18, 37), (5, 34), (10, 34), (16, 29), (35, 6), (9, 27), (33, 23), (10, 23), (2, 20), (28, 24), (12, 34), (34, 9), (35, 36), (19, 29), (31, 28), (31, 34), (12, 9), (28, 37), (5, 10), (1, 28), (14, 17), (13, 19), (32, 25), (24, 37), (20, 2), (8, 21), (17, 6), (26, 17), (2, 37), (24, 30), (24, 29), (29, 1), (6, 0), (10, 17), (1, 9), (14, 0), (22, 15), (11, 26), (16, 4), (31, 26), (17, 18), (16, 16), (25, 17), (4, 28), (25, 36), (16, 32), (32, 19), (25, 35), (1, 8), (30, 28), (34, 5), (29, 4), (23, 32), (3, 8), (34, 17), (24, 13), (20, 11), (27, 28), (29, 6), (23, 33), (2, 22), (24, 1), (15, 11), (2, 14), (26, 33), (33, 8), (18, 15), (0, 3), (17, 7), (24, 23), (15, 22), (4, 34), (25, 33), (3, 0), (29, 10), (18, 3), (10, 32), (15, 0), (15, 18), (25, 27), (0, 21), (24, 7), (5, 12), (12, 12), (12, 8), (20, 15), (16, 27), (0, 30), (30, 13), (1, 35), (8, 29), (34, 1), (2, 17), (12, 1), (13, 16), (31, 35), (19, 19), (18, 17), (15, 27), (11, 22), (14, 8), (17, 32), (33, 6), (6, 3), (6, 4), (21, 28), (26, 21), (27, 17), (20, 6), (8, 5), (5, 19), (22, 14), (4, 0), (9, 18), (9, 10), (16, 6), (8, 23), (32, 0), (34, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 13), (1, 18), (34, 35), (3, 18), (30, 5), (14, 25), (33, 37), (25, 15), (23, 3), (15, 2), (22, 28), (7, 31), (11, 38), (30, 21), (13, 0), (32, 26), (18, 22), (30, 1), (20, 10), (14, 22), (29, 36), (31, 26), (12, 17), (6, 21), (28, 2), (2, 28), (1, 8), (26, 4), (8, 33), (19, 15), (4, 18), (15, 12), (4, 29), (16, 3), (29, 17), (32, 7), (18, 27), (10, 3), (7, 2), (31, 21), (21, 18), (8, 1), (15, 33), (3, 22), (29, 19), (9, 12), (6, 1), (21, 29), (28, 18), (0, 14), (24, 20), (26, 20), (8, 22), (3, 14), (20, 5), (29, 10), (12, 22), (27, 31), (10, 27), (27, 29), (15, 9), (31, 14), (25, 11), (11, 2), (16, 36), (13, 28), (11, 34), (4, 38), (9, 31), (32, 34), (33, 0), (25, 37), (22, 16), (5, 34), (10, 24), (12, 3), (25, 1), (25, 17), (11, 24), (20, 38), (18, 17), (30, 16), (9, 23), (33, 19), (28, 12), (7, 21), (20, 8), (11, 37), (13, 33), (12, 32), (1, 31), (14, 11), (11, 5), (9, 38), (25, 3), (5, 13), (8, 24), (15, 7), (1, 33), (18, 29), (13, 30), (21, 28), (23, 16), (6, 30), (34, 29), (22, 36), (19, 12), (33, 38), (17, 18), (4, 5), (20, 34), (31, 8), (1, 17), (0, 16), (29, 34), (14, 26), (24, 19), (5, 3), (29, 29), (30, 20), (23, 0), (19, 35), (29, 33), (30, 3), (6, 25), (24, 33), (6, 18), (22, 11), (34, 11), (20, 6), (14, 36), (13, 18), (3, 9), (26, 13), (15, 23), (23, 5), (11, 21), (7, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 12), (6, 14), (7, 16), (29, 32), (22, 3), (31, 1), (5, 30), (23, 9), (13, 1), (31, 12), (2, 23), (14, 7), (11, 22), (22, 28), (14, 34), (19, 33), (18, 31), (28, 11), (22, 36), (7, 10), (26, 0), (14, 26), (6, 25), (31, 28), (16, 1), (30, 10), (22, 26), (30, 26), (0, 28), (16, 18), (13, 8), (20, 3), (20, 14), (6, 10), (3, 30), (2, 5), (5, 3), (4, 5), (1, 9), (13, 22), (25, 33), (29, 19), (0, 37), (5, 24), (6, 31), (31, 31), (22, 21), (10, 33), (14, 10), (21, 7), (3, 31), (19, 8), (18, 12), (11, 32), (2, 29), (29, 6), (1, 27), (28, 34), (12, 34), (4, 7), (29, 27), (31, 25), (18, 8), (3, 28), (19, 27), (8, 35), (16, 8), (15, 14), (22, 8), (3, 22), (29, 3), (19, 9), (30, 24), (10, 35), (29, 16), (5, 18), (22, 20), (22, 13), (10, 21), (21, 26), (7, 26), (20, 30), (29, 0), (24, 9), (22, 37), (19, 23), (15, 5), (16, 3), (4, 26), (23, 1), (12, 28), (25, 20), (25, 34), (10, 4), (30, 31), (13, 24), (6, 6), (7, 0), (18, 19), (16, 0), (25, 5), (16, 34), (28, 8), (15, 21), (10, 8), (21, 29), (19, 6), (12, 3), (12, 0), (29, 15), (18, 3), (11, 31), (17, 24), (24, 19), (18, 2), (7, 7), (26, 31), (2, 6), (30, 14), (16, 24), (16, 7), (20, 20), (16, 31), (20, 5), (12, 6), (18, 30), (24, 26), (18, 17), (25, 37), (2, 34), (23, 4), (0, 26), (7, 5), (15, 18), (21, 0), (22, 0), (23, 6), (7, 35), (15, 6), (29, 1), (23, 15), (23, 31), (14, 37), (10, 18), (4, 21), (26, 21), (14, 31), (17, 28), (27, 10), (26, 1), (16, 2), (4, 27), (0, 4), (25, 10), (29, 30), (21, 24), (16, 10), (13, 12), (9, 20), (17, 21), (31, 13), (12, 31), (8, 3), (0, 18), (3, 32), (17, 13), (4, 33), (26, 9), (5, 13), (1, 7), (1, 26), (16, 28), (24, 0), (18, 27), (14, 18), (18, 7), (30, 5), (0, 20), (7, 36), (19, 19), (17, 8), (22, 10), (2, 21), (11, 36), (15, 10), (16, 6), (8, 29), (22, 2), (10, 13), (30, 25), (23, 34), (8, 31), (14, 5), (19, 18), (9, 9), (1, 37), (14, 19), (20, 21), (1, 20), (9, 35), (22, 4), (27, 26), (8, 22), (19, 1), (26, 29), (21, 28), (24, 16), (30, 18), (20, 6), (4, 13), (2, 11), (25, 27), (2, 20), (26, 19), (12, 13), (30, 23), (18, 37), (1, 31), (15, 31), (4, 22), (3, 3), (27, 31), (19, 15), (3, 12), (30, 16), (21, 30), (8, 16), (17, 33), (1, 2), (17, 14), (24, 4), (15, 23), (22, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 3), (24, 8), (13, 8), (4, 12), (6, 20), (11, 12), (23, 14), (16, 14), (28, 10), (29, 11), (12, 18), (19, 25), (7, 8), (30, 2), (28, 29), (28, 11), (4, 26), (11, 14), (21, 10), (16, 24), (25, 16), (23, 24), (20, 19), (29, 15), (10, 11), (18, 9), (11, 16), (4, 11), (9, 8), (10, 1), (11, 5), (21, 1), (3, 0), (26, 21), (27, 6), (25, 6), (6, 25), (21, 14), (16, 17), (15, 9), (30, 25), (3, 5), (16, 23), (21, 16), (15, 19), (14, 26), (2, 16), (28, 14), (1, 27), (15, 23), (24, 2), (8, 21), (23, 8), (17, 6), (22, 6), (10, 9), (21, 25), (27, 16), (21, 28), (17, 21), (6, 18), (30, 13), (19, 5), (14, 20), (26, 22), (21, 7), (4, 6), (24, 12), (21, 21), (2, 3), (27, 19), (21, 22), (11, 22), (30, 11), (24, 7), (28, 2), (24, 16), (23, 29), (8, 16), (28, 0), (18, 4), (17, 19), (23, 22), (20, 21), (29, 2), (0, 14), (19, 29), (1, 14), (20, 13), (13, 9), (30, 5), (16, 11), (27, 26), (11, 21), (14, 0), (20, 18), (3, 15), (7, 13), (10, 23), (7, 11), (25, 1), (5, 6), (9, 5), (13, 22), (5, 2), (13, 5), (8, 29), (26, 29), (20, 16), (3, 14), (22, 21), (18, 22), (7, 29), (26, 0), (23, 15), (1, 8), (24, 27), (15, 1), (17, 17), (10, 29), (11, 19), (6, 7), (22, 3), (25, 3), (19, 9), (22, 9), (7, 16), (18, 14), (25, 14), (8, 26), (16, 13), (29, 23), (9, 16), (17, 2), (17, 28), (1, 25), (8, 27), (13, 15), (30, 20), (25, 10), (7, 6), (0, 26), (4, 0), (28, 20), (23, 27), (3, 26), (18, 8), (13, 28), (9, 20), (19, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 33), (19, 18), (13, 33), (19, 1), (24, 31), (18, 18), (7, 4), (19, 0), (15, 15), (3, 35), (14, 8), (17, 1), (20, 24), (16, 25), (8, 7), (9, 17), (26, 2), (19, 36), (10, 9), (31, 12), (12, 11), (30, 15), (2, 36), (21, 25), (21, 36), (12, 15), (11, 20), (26, 0), (0, 14), (30, 29), (21, 15), (27, 20), (19, 13), (22, 35), (3, 8), (26, 7), (4, 19), (23, 17), (7, 24), (6, 4), (9, 7), (28, 36), (7, 32), (27, 17), (4, 0), (1, 23), (24, 4), (1, 35), (21, 22), (20, 30), (5, 6), (14, 6), (29, 10), (15, 31), (28, 32), (6, 19), (9, 29), (3, 11), (16, 24), (5, 22), (24, 27), (2, 5), (14, 27), (5, 1), (12, 29), (25, 9), (15, 18), (7, 34), (0, 32), (11, 7), (13, 32), (3, 2), (3, 10), (18, 22), (24, 6), (0, 13), (26, 11), (25, 14), (6, 28), (12, 19), (4, 15), (7, 30), (27, 28), (23, 1), (8, 33), (19, 21), (29, 1), (20, 12), (31, 24), (6, 33), (0, 24), (27, 29), (14, 30), (24, 36), (30, 7), (2, 16), (29, 32), (18, 7), (12, 18), (27, 24), (31, 32), (23, 0), (1, 29), (14, 20), (4, 22), (12, 21), (4, 31), (20, 22), (12, 17), (19, 16), (4, 3), (12, 6), (11, 15), (13, 35), (3, 13), (13, 28), (29, 4), (5, 27), (18, 0), (17, 9), (21, 28), (3, 21), (6, 9), (16, 4), (20, 33), (18, 37), (10, 6), (20, 37), (5, 17), (10, 26), (17, 6), (27, 14), (2, 25), (17, 37), (30, 13), (16, 12), (13, 24), (11, 36), (17, 7), (22, 7), (20, 36), (7, 36), (0, 19), (28, 17), (25, 13), (12, 27), (7, 16), (26, 15), (11, 30), (7, 21), (16, 11), (22, 0), (6, 16), (22, 24), (28, 20), (14, 19), (25, 6), (13, 4), (22, 20), (19, 10), (21, 26), (30, 10), (17, 29), (8, 11), (30, 30), (6, 3), (31, 10), (4, 35), (10, 0), (17, 12), (14, 23), (6, 20), (26, 5), (6, 1), (11, 29), (13, 21), (31, 6), (25, 22), (14, 29), (27, 19), (17, 5), (19, 7), (14, 16), (13, 20), (3, 0), (29, 25), (4, 8), (12, 13), (3, 29), (6, 22), (1, 15), (3, 15), (2, 26), (3, 6), (6, 6), (30, 21), (18, 5), (27, 35), (23, 31), (21, 20), (30, 6), (0, 3), (1, 25), (4, 17), (28, 37), (31, 22), (9, 33), (3, 9), (24, 21), (19, 9), (2, 4), (19, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 29), (6, 36), (23, 31), (26, 12), (33, 30), (32, 9), (34, 17), (36, 3), (20, 25), (11, 24), (21, 13), (8, 0), (23, 18), (7, 9), (13, 9), (36, 14), (13, 36), (17, 0), (20, 24), (35, 34), (17, 32), (0, 35), (32, 20), (19, 24), (7, 14), (21, 31), (3, 22), (33, 36), (12, 18), (10, 27), (6, 16), (16, 14), (15, 9), (18, 0), (4, 33), (12, 25), (33, 33), (10, 14), (18, 5), (6, 17), (1, 26), (32, 15), (20, 29), (28, 9), (34, 14), (33, 21), (27, 11), (25, 20), (36, 6), (29, 32), (16, 12), (24, 22), (33, 7), (27, 5), (2, 0), (36, 22), (19, 36), (0, 21), (24, 36), (3, 3), (11, 29), (34, 5), (13, 16), (9, 9), (10, 4), (7, 28), (35, 33), (26, 27), (6, 13), (1, 10), (14, 28), (29, 22), (6, 22), (27, 29), (21, 36), (36, 16), (33, 19), (34, 3), (23, 11), (0, 2), (29, 17), (6, 19), (29, 10), (28, 21), (7, 30), (1, 3), (30, 12), (4, 32), (18, 2), (13, 12), (12, 26), (26, 21), (19, 29), (22, 35), (22, 10), (18, 11), (13, 15), (28, 29), (34, 22), (12, 2), (5, 27), (5, 14), (9, 15), (28, 5), (33, 15), (13, 13), (7, 19), (3, 5), (22, 13), (27, 28), (6, 20), (35, 25), (11, 34), (11, 0), (33, 27), (24, 6), (14, 14), (34, 13), (36, 23), (21, 26), (18, 15), (0, 23), (15, 24), (36, 5), (5, 20), (0, 6), (11, 27), (36, 17), (4, 36), (23, 4), (21, 14), (16, 35), (19, 20), (30, 7), (16, 3), (26, 32), (19, 27), (2, 29), (22, 22), (23, 36), (29, 9), (0, 4), (15, 21), (22, 15), (15, 20), (16, 36), (29, 6), (1, 23), (20, 7), (13, 17), (25, 27), (11, 16), (14, 3), (27, 2), (12, 13), (19, 31), (35, 5), (2, 27), (32, 34), (16, 0), (22, 32), (19, 7), (1, 34), (29, 1), (24, 2), (3, 10), (27, 15), (10, 25), (1, 33), (1, 14), (17, 26), (29, 7), (0, 25), (25, 4), (13, 8), (24, 33), (14, 21), (23, 24), (12, 19), (4, 2), (25, 34), (12, 36), (1, 17), (5, 32), (23, 6), (5, 3), (10, 30), (23, 2), (32, 14), (30, 30), (15, 29), (6, 34), (29, 15), (19, 25), (15, 10), (13, 24), (34, 19), (1, 18), (36, 0), (35, 27), (21, 33), (20, 0), (7, 6), (22, 34), (12, 15), (23, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 16), (20, 12), (16, 15), (19, 17), (7, 5), (2, 9), (19, 6), (18, 19), (9, 9), (14, 0), (36, 12), (17, 30), (16, 12), (0, 29), (9, 6), (18, 22), (20, 10), (19, 27), (13, 20), (24, 2), (21, 8), (24, 12), (36, 5), (25, 4), (36, 28), (11, 9), (33, 2), (32, 25), (1, 1), (14, 13), (20, 5), (20, 22), (4, 18), (1, 30), (22, 2), (14, 20), (18, 11), (24, 11), (30, 20), (3, 28), (30, 26), (14, 29), (36, 25), (2, 12), (18, 27), (1, 11), (23, 17), (20, 2), (12, 27), (28, 1), (30, 29), (20, 7), (8, 14), (21, 22), (33, 0), (17, 10), (7, 2), (4, 12), (30, 23), (27, 9), (35, 6), (25, 25), (4, 22), (1, 23), (2, 18), (24, 29), (20, 6), (24, 16), (29, 25), (21, 18), (29, 4), (1, 28), (35, 15), (19, 11), (7, 3), (16, 21), (21, 27), (36, 22), (22, 17), (24, 18), (29, 9), (24, 15), (10, 27), (2, 21), (26, 12), (33, 1), (32, 23), (20, 15), (16, 14), (21, 17), (2, 13), (28, 21), (34, 16), (12, 15), (8, 29), (10, 1), (33, 24), (5, 16), (1, 27), (1, 0), (31, 5), (5, 23), (26, 21), (35, 24), (7, 28), (4, 24), (15, 19), (36, 20), (25, 13), (29, 14), (17, 20), (22, 8), (26, 28), (3, 6), (31, 10), (24, 17), (9, 14), (35, 8), (30, 7), (33, 14), (14, 28), (1, 7), (31, 3), (32, 10), (2, 4), (26, 17), (27, 19), (34, 29), (12, 1), (28, 7), (23, 10), (16, 19), (17, 5), (13, 17), (27, 16), (2, 3), (12, 7), (21, 16), (1, 17), (13, 13), (36, 9), (8, 0), (36, 21), (23, 25), (6, 21), (31, 2), (20, 4), (12, 2), (4, 20), (27, 24), (23, 8), (8, 3), (35, 27), (34, 30), (18, 7), (9, 4), (27, 14), (10, 12), (7, 7), (2, 26), (18, 25), (12, 17), (22, 6), (13, 14), (5, 21), (7, 29), (5, 1), (15, 15), (32, 18), (1, 24), (10, 17), (6, 28), (3, 29), (26, 24), (8, 20), (14, 17), (0, 4), (14, 14), (22, 9), (2, 6), (27, 7), (32, 21), (2, 0), (7, 10), (16, 22), (24, 7), (25, 22), (4, 8), (10, 16), (31, 19), (8, 19), (20, 9), (14, 9), (22, 11), (23, 20), (0, 5), (29, 5), (10, 4), (7, 9), (13, 26), (6, 6), (6, 27), (7, 14), (7, 18), (18, 17), (1, 12), (19, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 26), (16, 2), (21, 3), (25, 14), (34, 10), (2, 24), (35, 17), (13, 23), (34, 1), (30, 9), (4, 5), (26, 24), (35, 11), (5, 32), (11, 28), (1, 10), (23, 8), (14, 36), (17, 13), (34, 34), (17, 25), (21, 1), (30, 36), (26, 35), (24, 15), (32, 2), (4, 21), (29, 9), (12, 34), (33, 26), (36, 17), (18, 15), (26, 32), (9, 25), (30, 2), (7, 5), (21, 31), (23, 11), (3, 19), (18, 24), (15, 15), (0, 8), (7, 7), (11, 3), (32, 35), (2, 10), (33, 34), (20, 10), (24, 31), (12, 13), (14, 17), (36, 5), (22, 24), (10, 3), (22, 4), (33, 27), (4, 15), (35, 5), (6, 9), (25, 16), (13, 4), (31, 6), (26, 2), (21, 17), (0, 20), (21, 9), (11, 33), (3, 8), (29, 34), (6, 29), (17, 36), (7, 16), (33, 24), (0, 7), (16, 26), (4, 28), (34, 28), (34, 21), (22, 26), (29, 1), (15, 6), (11, 23), (9, 9), (15, 13), (19, 7), (4, 8), (29, 20), (4, 25), (25, 18), (9, 26), (28, 11), (22, 35), (32, 30), (13, 24), (27, 15), (12, 24), (31, 16), (7, 22), (28, 32), (26, 0), (13, 2), (5, 25), (24, 11), (3, 12), (6, 8), (6, 12), (23, 16), (1, 17), (36, 0), (31, 20), (3, 27), (16, 31), (28, 19), (22, 3), (20, 8), (28, 16), (6, 33), (26, 6), (34, 20), (10, 18), (36, 6), (15, 32), (23, 19), (17, 35), (30, 35), (16, 12), (26, 15), (33, 10), (33, 8), (19, 27), (24, 23), (22, 10), (25, 19), (32, 17), (17, 9), (20, 35), (28, 1), (28, 31), (14, 32), (8, 25), (26, 12), (16, 18), (31, 4), (32, 22), (10, 19), (0, 26), (32, 7), (25, 23), (10, 6), (29, 25), (18, 3), (2, 31), (21, 18), (4, 16), (14, 13), (4, 1), (22, 12), (29, 6), (29, 33), (19, 6), (12, 0), (8, 36), (10, 10), (16, 7), (13, 29), (27, 27), (0, 22), (21, 6), (35, 27), (13, 31), (33, 0), (23, 18), (30, 32), (21, 20), (31, 29), (20, 34), (10, 20), (14, 25), (15, 34), (22, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 27), (4, 29), (18, 6), (18, 30), (17, 13), (12, 31), (20, 30), (16, 10), (15, 31), (31, 5), (1, 11), (20, 10), (28, 7), (5, 21), (30, 20), (5, 19), (37, 7), (12, 1), (10, 12), (37, 17), (11, 20), (6, 27), (21, 27), (3, 3), (19, 26), (4, 16), (3, 29), (2, 7), (30, 3), (10, 13), (35, 27), (1, 22), (37, 25), (20, 4), (17, 17), (20, 14), (7, 20), (20, 16), (35, 0), (32, 6), (2, 31), (11, 6), (21, 20), (2, 3), (29, 7), (13, 8), (13, 7), (11, 14), (12, 4), (12, 0), (15, 20), (35, 10), (24, 6), (3, 13), (17, 28), (28, 30), (32, 26), (32, 11), (31, 19), (6, 16), (28, 28), (23, 31), (25, 3), (33, 11), (5, 12), (22, 21), (36, 2), (33, 1), (11, 18), (0, 2), (20, 26), (0, 24), (29, 27), (29, 28), (0, 11), (37, 29), (8, 21), (9, 18), (22, 28), (4, 5), (0, 16), (23, 3), (30, 30), (30, 31), (2, 13), (0, 26), (12, 11), (36, 16), (35, 17), (19, 9), (27, 8), (24, 22), (16, 27), (6, 17), (5, 27), (30, 29), (16, 11), (33, 5), (35, 15), (3, 12), (18, 25), (35, 21), (25, 0), (27, 15), (30, 2), (3, 8), (12, 29), (33, 16), (2, 10), (6, 15), (27, 5), (24, 9), (31, 21), (30, 15), (14, 4), (20, 17), (13, 30), (15, 26), (33, 27), (26, 17), (32, 24), (9, 25), (13, 5), (38, 20), (17, 20), (13, 2), (38, 27), (29, 1), (23, 20), (25, 17), (11, 9), (26, 14), (28, 21), (22, 31), (32, 19), (33, 17), (16, 3), (8, 30), (18, 12), (32, 4), (20, 9), (27, 13), (23, 27), (3, 7), (34, 31), (1, 20), (21, 29), (16, 29), (35, 3), (36, 1), (3, 26), (23, 16), (16, 0), (12, 3), (15, 3), (28, 6), (30, 8), (12, 20), (9, 20), (7, 21), (0, 3), (24, 2), (32, 14), (29, 5), (12, 30), (16, 31), (22, 26), (19, 1), (26, 7), (18, 26), (11, 17), (38, 28), (23, 6), (11, 8), (24, 4), (17, 6), (11, 26), (32, 18), (10, 9), (10, 4), (28, 18), (10, 14), (23, 26), (31, 2), (26, 6), (6, 8), (18, 9), (0, 14), (3, 18), (32, 21), (24, 17), (25, 16), (30, 27), (35, 30), (4, 18), (4, 12), (1, 3), (1, 16), (32, 12), (12, 23), (34, 6), (35, 9), (38, 12), (5, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (35, 1), (24, 21), (29, 28), (12, 30), (22, 0), (26, 1), (8, 13), (8, 22), (27, 17), (9, 7), (29, 29), (23, 1), (10, 10), (28, 31), (5, 26), (30, 7), (36, 30), (22, 31), (26, 16), (35, 15), (34, 28), (9, 28), (14, 15), (27, 21), (30, 10), (30, 22), (22, 7), (15, 16), (26, 23), (28, 11), (34, 11), (30, 23), (20, 24), (32, 24), (18, 11), (1, 31), (7, 31), (23, 16), (9, 6), (23, 23), (33, 9), (18, 6), (9, 15), (20, 23), (11, 13), (5, 11), (13, 5), (7, 18), (26, 0), (22, 5), (7, 9), (23, 3), (31, 5), (36, 25), (13, 26), (31, 22), (32, 0), (24, 8), (4, 28), (18, 21), (22, 11), (32, 27), (24, 26), (18, 25), (19, 24), (7, 8), (12, 14), (14, 6), (2, 21), (6, 23), (29, 0), (11, 2), (0, 27), (25, 3), (34, 19), (34, 10), (10, 28), (22, 15), (16, 29), (22, 23), (17, 3), (20, 20), (28, 30), (0, 6), (36, 16), (14, 26), (3, 22), (30, 3), (25, 4), (34, 30), (30, 1), (32, 17), (9, 2), (21, 0), (36, 9), (21, 18), (2, 23), (6, 17), (26, 7), (31, 15), (17, 5), (0, 8), (6, 22), (26, 27), (9, 18), (7, 2), (14, 23), (21, 7), (16, 11), (35, 22), (10, 30), (16, 25), (1, 2), (18, 10), (15, 21), (11, 29), (18, 8), (7, 13), (32, 2), (35, 5), (13, 1), (34, 27), (27, 24), (25, 5), (7, 32), (36, 17), (0, 11), (27, 22), (6, 7), (24, 4), (22, 24), (16, 31), (2, 32), (10, 13), (11, 22), (21, 27), (19, 30), (29, 9), (17, 14), (10, 7), (35, 8), (9, 16), (12, 19), (1, 15), (17, 17), (3, 15), (15, 5), (27, 10), (24, 1), (15, 10), (5, 13), (1, 14), (8, 15), (9, 22), (17, 2), (19, 6), (14, 28), (12, 6), (10, 18), (25, 10), (3, 8), (12, 2), (13, 8), (19, 5), (24, 25), (27, 12), (8, 2), (25, 28), (20, 14), (10, 8), (26, 9), (12, 28), (34, 18), (15, 17), (14, 21), (1, 17), (10, 29), (32, 12), (36, 15), (14, 7), (12, 8), (23, 5), (15, 12), (19, 10), (13, 19), (20, 6), (21, 11), (20, 26), (0, 25), (28, 16), (35, 28), (26, 24), (30, 12), (1, 19), (36, 4), (35, 29), (22, 29), (24, 6), (26, 17), (28, 21), (6, 5), (8, 9), (34, 23), (19, 1), (12, 12), (17, 32), (15, 9), (29, 27), (13, 13), (32, 31), (4, 21), (31, 29), (25, 18), (8, 8), (15, 19), (26, 29), (6, 29), (8, 20), (19, 0), (1, 25), (26, 30), (19, 23), (17, 8), (13, 12), (23, 12), (4, 9), (10, 23), (7, 6), (21, 17), (20, 1), (32, 13), (15, 28), (11, 21), (26, 18), (25, 6), (3, 27), (4, 26), (23, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 10), (5, 5), (6, 1), (11, 23), (6, 10), (17, 22), (1, 30), (33, 14), (24, 22), (0, 28), (26, 27), (7, 17), (31, 27), (3, 16), (25, 2), (4, 6), (17, 20), (4, 18), (15, 7), (7, 2), (11, 17), (17, 2), (22, 12), (13, 9), (11, 6), (20, 24), (14, 5), (22, 28), (23, 12), (0, 19), (16, 4), (11, 7), (0, 27), (24, 4), (15, 18), (10, 0), (11, 12), (5, 24), (22, 2), (33, 11), (10, 10), (4, 8), (3, 31), (13, 10), (3, 19), (5, 21), (10, 31), (30, 1), (0, 18), (3, 18), (2, 1), (9, 11), (1, 11), (1, 16), (1, 12), (9, 31), (19, 25), (13, 0), (0, 26), (25, 8), (28, 2), (27, 14), (1, 13), (8, 30), (2, 28), (10, 1), (21, 8), (18, 11), (28, 21), (27, 20), (5, 8), (25, 0), (15, 9), (33, 17), (3, 14), (30, 26), (31, 30), (6, 16), (0, 22), (25, 17), (9, 28), (16, 1), (3, 21), (12, 17), (29, 20), (18, 10), (12, 27), (4, 3), (27, 23), (13, 14), (3, 20), (9, 5), (13, 17), (25, 23), (4, 0), (6, 30), (30, 14), (10, 9), (1, 2), (17, 17), (12, 4), (21, 27), (15, 6), (11, 4), (31, 4), (25, 11), (9, 27), (7, 6), (30, 24), (5, 3), (1, 15), (29, 30), (0, 2), (19, 24), (0, 6), (31, 10), (6, 8), (10, 19), (31, 29), (19, 27), (18, 19), (12, 29), (18, 28), (20, 5), (2, 15), (2, 6), (14, 29), (32, 31), (7, 8), (15, 17), (16, 21), (16, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 22), (22, 9), (25, 31), (18, 20), (17, 16), (4, 5), (29, 16), (5, 7), (23, 8), (14, 16), (19, 0), (26, 3), (11, 26), (8, 26), (20, 15), (11, 3), (27, 27), (26, 18), (7, 7), (24, 22), (5, 14), (2, 3), (15, 17), (3, 7), (8, 32), (11, 9), (21, 25), (22, 28), (29, 10), (23, 28), (13, 20), (0, 3), (12, 2), (18, 17), (5, 29), (7, 1), (6, 28), (24, 27), (9, 11), (23, 20), (21, 2), (3, 24), (9, 20), (10, 32), (14, 23), (26, 21), (28, 27), (3, 30), (28, 23), (1, 17), (18, 14), (9, 24), (25, 1), (6, 2), (2, 10), (20, 27), (15, 6), (5, 19), (11, 25), (11, 23), (5, 26), (28, 25), (5, 25), (29, 11), (9, 14), (1, 24), (21, 1), (9, 6), (24, 12), (8, 3), (27, 5), (11, 8), (28, 20), (18, 7), (11, 30), (24, 21), (17, 14), (16, 27), (20, 5), (28, 7), (22, 17), (4, 11), (15, 14), (2, 29), (28, 16), (7, 16), (7, 14), (8, 23), (15, 29), (13, 16), (5, 3), (29, 2), (0, 30), (9, 21), (7, 28), (10, 4), (24, 26), (3, 5), (22, 27), (7, 17), (5, 10), (20, 21), (7, 6), (18, 16), (21, 7), (26, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 32x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 20), (10, 25), (25, 15), (5, 22), (23, 20), (19, 6), (9, 22), (21, 24), (11, 13), (25, 25), (26, 16), (30, 17), (18, 20), (0, 20), (9, 13), (15, 10), (30, 20), (5, 18), (19, 12), (24, 20), (12, 5), (10, 12), (7, 6), (29, 12), (28, 18), (5, 3), (30, 25), (8, 24), (28, 8), (21, 25), (8, 19), (3, 28), (26, 13), (7, 18), (24, 14), (25, 3), (8, 7), (0, 16), (9, 12), (24, 3), (10, 4), (23, 12), (4, 4), (10, 8), (29, 22), (15, 20), (15, 7), (30, 19), (7, 9), (9, 14), (26, 28), (19, 30), (11, 18), (26, 21), (30, 10), (5, 5), (5, 25), (9, 17), (0, 27), (26, 14), (25, 13), (1, 16), (19, 14), (27, 16), (0, 10), (26, 19), (23, 19), (13, 25), (0, 4), (22, 28), (4, 29), (14, 11), (0, 12), (28, 25), (25, 28), (21, 6), (3, 5), (8, 25), (6, 16), (1, 1), (13, 16), (21, 23), (11, 4), (17, 5), (11, 20), (7, 30), (23, 5), (27, 23), (10, 20), (16, 5), (31, 24), (17, 16), (25, 9), (18, 8), (21, 22), (16, 16), (22, 14), (17, 27), (30, 26), (0, 6), (25, 30), (19, 18), (27, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 19), (3, 0), (13, 11), (19, 29), (19, 0), (3, 9), (29, 25), (11, 30), (34, 5), (32, 24), (12, 20), (27, 10), (21, 19), (2, 21), (16, 28), (14, 4), (11, 36), (9, 6), (33, 5), (26, 34), (21, 28), (2, 35), (18, 26), (12, 23), (18, 10), (17, 20), (11, 27), (1, 36), (21, 6), (3, 32), (25, 23), (25, 21), (5, 20), (35, 28), (21, 1), (6, 4), (20, 4), (12, 29), (14, 31), (20, 22), (22, 33), (1, 21), (7, 8), (29, 11), (11, 17), (6, 26), (0, 14), (10, 29), (9, 22), (7, 0), (19, 23), (1, 16), (17, 5), (35, 2), (9, 36), (10, 22), (35, 9), (15, 30), (2, 6), (16, 14), (22, 32), (7, 7), (36, 26), (29, 27), (27, 2), (34, 31), (15, 10), (13, 18), (4, 17), (15, 8), (25, 20), (31, 21), (12, 15), (16, 23), (36, 24), (18, 5), (2, 15), (36, 0), (27, 4), (12, 21), (2, 2), (13, 7), (22, 2), (24, 3), (0, 1), (8, 4), (33, 8), (12, 32), (28, 18), (24, 34), (28, 5), (16, 13), (8, 1), (36, 34), (3, 3), (24, 14), (5, 17), (16, 18), (0, 32), (32, 35), (11, 14), (11, 0), (27, 0), (19, 10), (30, 33), (26, 9), (20, 18), (29, 32), (32, 25), (25, 28), (35, 14), (28, 25), (34, 24), (19, 6), (0, 34), (20, 0), (31, 12), (9, 33), (21, 13), (34, 7), (15, 16), (25, 33), (20, 16), (32, 5), (14, 32), (4, 25), (14, 30), (31, 24), (12, 25), (22, 11), (12, 12), (28, 21), (16, 27), (36, 7), (30, 8), (34, 8), (26, 11), (21, 16), (27, 26), (19, 17), (20, 15), (0, 36), (16, 15), (34, 6), (36, 6), (36, 23), (15, 0), (5, 36), (19, 20), (17, 16), (7, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 16), (13, 7), (13, 12), (29, 19), (32, 18), (22, 29), (29, 7), (29, 14), (23, 15), (6, 15), (21, 15), (19, 6), (3, 29), (32, 17), (2, 29), (1, 7), (25, 9), (4, 22), (12, 9), (2, 4), (21, 19), (27, 16), (21, 4), (24, 9), (25, 10), (30, 5), (20, 13), (8, 13), (7, 2), (22, 21), (28, 3), (26, 16), (4, 20), (9, 0), (26, 0), (32, 22), (13, 23), (32, 21), (1, 20), (17, 4), (31, 10), (14, 11), (14, 14), (27, 8), (18, 20), (14, 18), (13, 19), (28, 8), (14, 17), (25, 13), (20, 17), (6, 22), (12, 7), (32, 12), (11, 14), (1, 16), (7, 10), (22, 10), (13, 14), (5, 14), (3, 16), (18, 17), (14, 15), (13, 15), (20, 10), (18, 5), (10, 18), (11, 5), (10, 24), (14, 9), (16, 22), (24, 5), (2, 1), (18, 28), (18, 2), (14, 12), (31, 19), (29, 24), (0, 17), (28, 24), (5, 3), (9, 3), (6, 10), (12, 29), (1, 23), (29, 18), (32, 15), (5, 28), (16, 6), (22, 15), (7, 14), (27, 28), (16, 17), (12, 28), (28, 9), (20, 19), (6, 6), (7, 8), (18, 8), (5, 4), (12, 14), (31, 28), (24, 20), (12, 13), (9, 27), (0, 1), (32, 13), (20, 7), (11, 7), (2, 28), (10, 9), (10, 0), (1, 13), (29, 20), (24, 15), (26, 10), (9, 8), (2, 9), (22, 6), (24, 2), (15, 1), (7, 18), (23, 8), (6, 2), (3, 3), (6, 4), (17, 12), (16, 19), (22, 1), (13, 16), (29, 5), (12, 20), (24, 21), (16, 15), (14, 2), (27, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 32), (16, 25), (25, 27), (14, 1), (8, 22), (11, 2), (15, 7), (11, 35), (29, 37), (30, 13), (9, 3), (18, 25), (12, 2), (8, 36), (2, 35), (30, 29), (5, 12), (30, 33), (15, 4), (8, 24), (7, 17), (5, 31), (14, 3), (1, 36), (15, 37), (9, 9), (25, 6), (13, 13), (22, 34), (1, 8), (10, 5), (6, 9), (28, 32), (5, 5), (18, 21), (9, 1), (4, 33), (15, 9), (6, 25), (30, 15), (16, 18), (18, 4), (27, 35), (13, 29), (28, 19), (27, 33), (13, 9), (1, 22), (30, 16), (23, 6), (16, 6), (18, 2), (12, 3), (1, 1), (3, 23), (25, 31), (0, 34), (13, 8), (30, 12), (30, 32), (12, 31), (25, 4), (30, 9), (16, 22), (13, 36), (28, 18), (24, 23), (8, 6), (6, 19), (13, 17), (0, 37), (18, 30), (24, 6), (21, 20), (27, 6), (15, 6), (23, 30), (13, 37), (25, 11), (29, 15), (10, 11), (10, 19), (14, 23), (13, 30), (9, 0), (23, 27), (10, 25), (3, 34), (10, 21), (15, 10), (9, 7), (12, 19), (0, 29), (2, 15), (16, 30), (9, 12), (10, 18), (23, 24), (9, 38), (12, 0), (27, 36), (28, 14), (4, 5), (1, 7), (10, 38), (19, 22), (1, 17), (7, 8), (5, 34), (26, 33), (18, 7), (22, 22), (19, 19), (5, 38), (10, 36), (21, 19), (6, 28), (6, 17), (22, 6), (13, 11), (12, 21), (16, 3), (19, 29), (23, 8), (7, 7), (28, 38), (25, 36), (9, 8), (0, 15), (25, 12), (19, 13), (16, 14), (10, 31), (2, 37), (24, 38), (20, 14), (5, 32), (12, 17), (27, 4), (19, 23), (0, 6), (7, 9), (25, 33), (12, 24), (30, 19), (27, 34), (16, 10), (2, 3), (1, 31), (28, 28), (8, 16), (25, 22), (28, 29), (5, 21), (24, 18), (23, 12), (20, 28), (23, 4), (17, 36), (16, 17), (17, 38), (7, 20), (25, 0), (11, 38), (21, 27), (13, 23), (15, 32), (0, 7), (6, 31), (0, 14), (3, 12), (0, 5), (11, 37), (2, 13), (13, 3), (21, 7), (11, 25), (24, 14), (28, 12), (20, 34), (18, 13), (22, 2), (11, 10), (28, 31), (21, 11), (10, 37), (4, 12), (2, 1), (17, 19), (27, 11), (26, 8), (30, 4), (5, 7), (22, 36), (7, 1), (13, 0), (15, 5), (17, 27), (0, 30), (20, 33), (21, 33), (2, 27), (22, 7), (5, 0), (9, 19), (11, 29), (25, 10), (3, 36), (15, 31), (13, 21), (0, 22), (12, 22), (25, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 24), (6, 25), (6, 31), (33, 18), (32, 9), (8, 6), (2, 29), (20, 3), (26, 23), (6, 11), (31, 14), (10, 23), (30, 12), (24, 26), (9, 8), (18, 14), (32, 30), (0, 20), (10, 17), (2, 6), (33, 25), (8, 19), (9, 15), (32, 13), (19, 10), (33, 15), (13, 9), (29, 1), (18, 25), (4, 3), (35, 22), (3, 13), (16, 28), (27, 7), (7, 9), (12, 28), (5, 31), (13, 2), (12, 27), (25, 30), (5, 10), (23, 15), (14, 15), (35, 31), (13, 21), (13, 0), (27, 16), (23, 3), (31, 23), (19, 28), (33, 30), (25, 1), (35, 3), (31, 19), (14, 1), (24, 16), (30, 28), (31, 4), (18, 20), (36, 1), (32, 4), (13, 26), (16, 1), (6, 15), (24, 28), (26, 6), (15, 25), (22, 25), (0, 28), (29, 17), (3, 10), (34, 10), (9, 31), (30, 8), (4, 8), (32, 11), (15, 30), (33, 10), (30, 30), (24, 14), (19, 24), (24, 3), (5, 1), (23, 10), (31, 3), (8, 4), (2, 13), (23, 19), (24, 12), (0, 25), (4, 25), (18, 0), (34, 18), (31, 22), (5, 20), (0, 27), (36, 26), (30, 13), (17, 4), (3, 4), (2, 7), (35, 27), (24, 11), (18, 9), (8, 30), (19, 19), (9, 24), (30, 29), (20, 2), (13, 27), (19, 13), (27, 26), (3, 28), (0, 8), (3, 7), (7, 24), (15, 24), (17, 0), (13, 23), (16, 24), (33, 23), (23, 24), (34, 0), (20, 1), (5, 14), (28, 15), (5, 15), (17, 30), (4, 6), (34, 9), (27, 5), (8, 11), (29, 6), (5, 0), (19, 16), (26, 18), (22, 30), (28, 31), (12, 29), (32, 29), (8, 17), (15, 12), (14, 29), (28, 5), (28, 10), (7, 4), (19, 4), (21, 27), (3, 9), (25, 21), (0, 19), (18, 19), (32, 16), (12, 22), (6, 17), (1, 20), (22, 14), (0, 12), (1, 12), (23, 6), (10, 30), (0, 18), (24, 31), (34, 31), (23, 11), (13, 25), (24, 19), (26, 21), (27, 29), (18, 27), (1, 11), (6, 13), (26, 13), (25, 10), (19, 2), (24, 24), (6, 4), (34, 20), (17, 26), (29, 21), (20, 15), (11, 19), (35, 5), (35, 0), (2, 5), (33, 14), (20, 17), (10, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 34x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 33), (22, 30), (33, 5), (6, 18), (31, 7), (10, 35), (31, 21), (28, 37), (1, 26), (21, 12), (11, 9), (31, 2), (18, 27), (14, 31), (5, 9), (10, 32), (17, 26), (10, 7), (27, 33), (19, 38), (6, 4), (26, 36), (5, 35), (24, 14), (9, 10), (26, 7), (15, 14), (15, 0), (23, 18), (11, 36), (6, 10), (6, 16), (0, 11), (5, 10), (25, 0), (15, 1), (33, 30), (6, 35), (21, 6), (32, 31), (32, 25), (3, 17), (4, 26), (25, 29), (3, 33), (1, 1), (16, 17), (14, 9), (17, 21), (5, 38), (26, 3), (2, 21), (9, 28), (18, 29), (27, 6), (3, 11), (14, 27), (31, 8), (29, 21), (8, 9), (26, 37), (14, 23), (29, 2), (21, 32), (25, 2), (13, 29), (17, 30), (23, 12), (8, 37), (21, 31), (27, 1), (29, 14), (4, 15), (8, 35), (12, 22), (0, 4), (9, 37), (24, 38), (0, 35), (8, 20), (31, 27), (0, 14), (4, 10), (27, 21), (5, 24), (20, 7), (19, 37), (27, 7), (28, 25), (31, 12), (8, 11), (8, 33), (21, 33), (22, 6), (8, 21), (15, 22), (31, 15), (5, 23), (18, 5), (19, 21), (33, 7), (24, 30), (2, 0), (13, 31), (3, 30), (25, 21), (0, 36), (22, 5), (3, 24), (19, 30), (0, 18), (32, 9), (16, 16), (1, 15), (24, 23), (23, 13), (11, 17), (5, 6), (25, 27), (21, 11), (13, 11), (15, 38), (17, 14), (28, 5), (22, 37), (29, 5), (14, 24), (29, 19), (16, 3), (27, 27), (9, 6), (4, 32), (30, 32), (17, 18), (32, 12), (28, 17), (0, 26), (19, 20), (14, 20), (3, 15), (11, 32), (13, 3), (32, 2), (21, 20), (26, 22), (8, 31), (11, 14), (33, 13), (10, 21), (14, 21), (18, 11), (0, 12), (11, 2), (3, 34), (17, 35), (5, 0), (32, 34), (4, 5), (33, 31), (18, 7), (28, 4), (9, 36), (27, 36), (10, 38), (23, 3), (22, 29), (30, 31), (10, 23), (30, 18), (7, 24), (33, 20), (31, 13), (32, 5), (22, 32), (29, 10), (16, 32), (7, 14), (13, 19), (0, 31), (12, 36), (8, 34), (5, 12), (28, 6), (16, 15), (0, 20), (29, 37), (21, 18), (22, 38), (26, 32), (16, 36), (7, 2), (32, 30), (28, 35), (14, 11), (10, 8), (8, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 33x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 16), (3, 20), (2, 24), (16, 10), (7, 25), (20, 0), (4, 10), (9, 9), (14, 2), (3, 16), (13, 7), (5, 22), (23, 13), (15, 25), (10, 26), (14, 14), (31, 2), (11, 8), (24, 22), (14, 22), (3, 9), (1, 12), (0, 16), (23, 25), (17, 0), (7, 8), (22, 29), (27, 16), (23, 7), (7, 2), (22, 7), (11, 16), (1, 1), (27, 11), (24, 6), (10, 16), (31, 27), (15, 18), (15, 8), (17, 24), (10, 20), (13, 11), (22, 6), (12, 7), (31, 16), (7, 27), (24, 23), (23, 29), (31, 7), (29, 29), (25, 14), (3, 7), (1, 9), (3, 12), (0, 9), (25, 8), (10, 15), (15, 20), (28, 20), (4, 17), (30, 11), (24, 18), (25, 29), (9, 15), (20, 28), (21, 19), (7, 3), (32, 7), (7, 0), (4, 20), (12, 4), (22, 17), (6, 12), (29, 10), (31, 30), (31, 29), (0, 4), (0, 3), (31, 13), (20, 24), (31, 12), (11, 13), (23, 21), (17, 20), (11, 26), (21, 23), (4, 13), (21, 28), (13, 28), (9, 20), (22, 11), (27, 6), (1, 20), (25, 23), (2, 15), (17, 6), (23, 8), (0, 19), (8, 28), (0, 5), (28, 0), (14, 23), (18, 15), (18, 20), (8, 21), (2, 14), (11, 20), (7, 9), (8, 18), (28, 21), (32, 8), (32, 24), (19, 7), (23, 24), (15, 19), (23, 15), (29, 7), (28, 3), (25, 19), (27, 22), (6, 15), (6, 23), (21, 10), (21, 29), (12, 5), (12, 10), (3, 30), (8, 0), (14, 10), (31, 15), (12, 11), (22, 2), (14, 29), (28, 18), (12, 26), (15, 12), (12, 15), (23, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 7), (26, 2), (30, 14), (27, 6), (22, 3), (1, 21), (0, 14), (2, 18), (5, 8), (32, 20), (17, 5), (2, 22), (11, 7), (3, 2), (18, 13), (23, 0), (9, 19), (21, 17), (12, 23), (25, 6), (33, 7), (8, 30), (23, 10), (13, 2), (33, 8), (8, 24), (32, 10), (23, 9), (32, 7), (17, 4), (20, 8), (8, 18), (30, 21), (22, 21), (29, 14), (23, 5), (20, 18), (26, 30), (24, 25), (27, 21), (6, 27), (28, 6), (30, 13), (22, 7), (12, 17), (9, 20), (23, 15), (2, 7), (5, 15), (5, 4), (12, 27), (28, 21), (2, 4), (23, 2), (18, 8), (26, 8), (14, 13), (4, 11), (6, 0), (17, 17), (26, 21), (0, 7), (25, 11), (17, 23), (19, 20), (21, 8), (6, 5), (13, 1), (22, 24), (32, 17), (11, 29), (4, 5), (0, 10), (11, 15), (8, 16), (5, 14), (1, 12), (32, 14), (4, 3), (25, 5), (4, 30), (18, 15), (9, 3), (5, 5), (7, 25), (9, 21), (20, 10), (10, 23), (23, 14), (24, 8), (8, 4), (12, 18), (20, 19), (13, 24), (4, 7), (33, 26), (14, 11), (5, 26), (15, 5), (32, 3), (25, 1), (21, 4), (3, 8), (31, 23), (16, 6), (2, 14), (18, 1), (31, 16), (30, 16), (2, 29), (16, 23), (32, 0), (16, 13), (14, 14), (5, 17), (25, 13), (4, 13), (17, 11), (25, 17), (29, 16), (30, 30), (33, 14), (16, 17), (18, 26), (30, 28), (20, 23), (21, 23), (28, 0), (15, 11), (26, 20), (27, 25), (9, 1), (11, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 16), (16, 17), (1, 3), (24, 9), (14, 18), (20, 28), (0, 5), (10, 0), (19, 31), (14, 8), (6, 18), (21, 4), (25, 12), (16, 24), (9, 11), (12, 31), (22, 18), (3, 29), (10, 1), (19, 21), (3, 18), (3, 26), (10, 17), (29, 8), (7, 30), (2, 8), (4, 9), (1, 20), (6, 26), (9, 28), (15, 6), (21, 15), (6, 21), (12, 0), (24, 31), (13, 7), (28, 17), (19, 29), (16, 9), (12, 3), (4, 28), (9, 6), (29, 11), (11, 26), (7, 28), (21, 9), (17, 8), (26, 7), (21, 25), (30, 17), (2, 0), (3, 13), (24, 3), (23, 9), (7, 29), (26, 4), (11, 8), (11, 14), (14, 14), (23, 22), (26, 5), (8, 15), (21, 14), (16, 15), (18, 26), (21, 18), (12, 4), (11, 30), (23, 6), (17, 10), (7, 0), (19, 11), (12, 13), (25, 24), (16, 28), (26, 25), (11, 0), (24, 18), (7, 9), (4, 27), (1, 25), (5, 26), (29, 14), (12, 6), (2, 6), (11, 29), (7, 17), (24, 25), (12, 24), (27, 29), (9, 4), (6, 6), (7, 22), (5, 22), (0, 20), (27, 13), (3, 5), (4, 11), (6, 10), (12, 12), (30, 11), (25, 6), (30, 12), (16, 11), (30, 0), (2, 29), (0, 12), (14, 15), (28, 16), (6, 17), (11, 22), (17, 16), (28, 18), (13, 20), (14, 9), (5, 19), (14, 27), (13, 17), (14, 29), (15, 31), (24, 28), (25, 13), (13, 4), (12, 15), (3, 12), (24, 1), (1, 11), (4, 14), (9, 16), (27, 28), (12, 20), (8, 10), (29, 4), (17, 13), (17, 30), (26, 31), (26, 17), (30, 15), (0, 31), (16, 18), (11, 21), (18, 8), (6, 8), (25, 31), (26, 23), (12, 11), (16, 10), (11, 18), (17, 12), (18, 18), (3, 7), (30, 4), (0, 8), (3, 1), (5, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 31), (17, 5), (34, 7), (2, 37), (25, 23), (10, 26), (22, 29), (2, 27), (2, 14), (29, 14), (10, 0), (29, 8), (31, 37), (24, 5), (28, 34), (10, 31), (4, 10), (20, 16), (0, 26), (4, 8), (1, 12), (27, 26), (15, 27), (22, 21), (30, 28), (24, 1), (9, 6), (33, 34), (20, 18), (12, 32), (21, 4), (33, 33), (8, 32), (7, 38), (1, 36), (27, 4), (31, 2), (6, 32), (22, 28), (12, 38), (5, 2), (14, 8), (19, 5), (17, 11), (27, 25), (34, 10), (2, 38), (7, 1), (11, 17), (27, 8), (3, 11), (25, 38), (25, 26), (16, 28), (13, 38), (23, 28), (21, 13), (23, 20), (24, 3), (3, 22), (4, 16), (17, 22), (21, 28), (6, 21), (5, 28), (20, 19), (28, 29), (18, 13), (31, 21), (25, 32), (8, 25), (31, 5), (11, 16), (23, 11), (22, 17), (26, 18), (8, 0), (13, 37), (6, 15), (7, 28), (20, 0), (22, 19), (26, 13), (2, 0), (21, 11), (16, 12), (0, 21), (0, 12), (19, 38), (0, 20), (10, 23), (24, 32), (33, 2), (27, 37), (24, 6), (32, 38), (33, 23), (8, 16), (32, 37), (29, 19), (33, 37), (3, 37), (18, 23), (25, 16), (4, 4), (24, 7), (17, 4), (22, 3), (24, 34), (18, 2), (27, 7), (9, 29), (17, 21), (30, 14), (32, 0), (30, 20), (28, 32), (3, 30), (32, 17), (25, 2), (20, 35), (35, 1), (31, 8), (1, 25), (3, 3), (2, 26), (35, 25), (26, 37), (27, 24), (8, 37), (22, 23), (28, 33), (8, 5), (3, 31), (12, 15), (22, 11), (23, 35), (27, 2), (2, 21), (22, 27), (16, 11), (26, 26), (21, 16), (33, 27), (21, 31), (23, 14), (20, 36), (27, 21), (6, 16), (23, 37), (25, 24), (2, 20), (8, 1), (19, 18), (18, 11), (4, 35), (16, 33), (32, 32), (22, 31), (30, 29), (13, 26), (34, 30), (1, 7), (22, 36), (16, 34), (9, 32), (25, 19), (22, 8), (17, 24), (15, 34), (11, 13), (1, 17), (28, 15), (18, 35), (14, 13), (3, 32), (13, 29), (10, 18), (16, 4), (15, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 16), (12, 25), (13, 18), (32, 8), (19, 2), (5, 1), (1, 20), (21, 29), (8, 1), (21, 24), (34, 17), (20, 26), (30, 17), (24, 29), (14, 30), (22, 0), (0, 22), (13, 4), (24, 20), (24, 4), (25, 11), (12, 27), (22, 17), (21, 3), (5, 14), (32, 16), (34, 5), (24, 18), (12, 23), (10, 13), (27, 13), (31, 24), (19, 23), (31, 11), (28, 9), (20, 9), (10, 20), (10, 25), (5, 3), (14, 16), (33, 11), (28, 25), (33, 18), (23, 29), (23, 13), (9, 11), (33, 3), (1, 26), (9, 27), (13, 21), (31, 5), (14, 24), (0, 30), (22, 15), (27, 6), (2, 15), (20, 15), (22, 22), (17, 20), (23, 18), (26, 8), (21, 6), (6, 22), (3, 17), (7, 3), (6, 8), (14, 17), (14, 21), (17, 25), (3, 5), (23, 21), (17, 1), (5, 16), (13, 2), (20, 18), (28, 11), (31, 2), (14, 20), (27, 30), (15, 19), (24, 10), (33, 2), (0, 26), (10, 4), (33, 0), (22, 5), (7, 6), (30, 11), (1, 8), (21, 7), (20, 17), (1, 14), (21, 22), (6, 20), (2, 11), (33, 15), (24, 15), (3, 26), (6, 17), (16, 28), (19, 0), (33, 26), (8, 10), (3, 18), (19, 29), (20, 22), (18, 18), (24, 9), (13, 30), (31, 8), (10, 8), (28, 26), (11, 6), (30, 7), (3, 28), (20, 23), (15, 29), (10, 17), (7, 15), (28, 6), (16, 21), (2, 5), (20, 28), (6, 19), (3, 6), (4, 12), (14, 7), (11, 19), (7, 13), (24, 8), (27, 22), (9, 26), (8, 25), (15, 10), (17, 3), (16, 11), (33, 1), (5, 6), (34, 19), (30, 26), (30, 13), (28, 13), (1, 12), (10, 3), (18, 20), (32, 10), (10, 10), (22, 21), (7, 22), (33, 6), (16, 13), (12, 1), (8, 4), (30, 18), (1, 13), (4, 8), (15, 5), (26, 6), (33, 23), (17, 29), (16, 0), (29, 14), (6, 23), (5, 26), (32, 9), (31, 3), (27, 20), (32, 14), (29, 20), (25, 27), (9, 6), (11, 26), (28, 0), (27, 18), (15, 2), (8, 19), (13, 16), (5, 7), (25, 8), (24, 13), (13, 14), (33, 24), (18, 25), (21, 23), (8, 27), (34, 18), (8, 28), (9, 22), (34, 26), (18, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 33), (10, 21), (10, 30), (21, 30), (5, 14), (23, 7), (24, 31), (10, 15), (10, 16), (21, 20), (18, 4), (0, 27), (19, 20), (6, 31), (12, 34), (5, 5), (22, 5), (4, 21), (16, 29), (14, 1), (18, 28), (10, 3), (5, 21), (0, 32), (31, 23), (9, 32), (9, 4), (4, 13), (31, 30), (31, 25), (2, 9), (11, 30), (22, 26), (5, 24), (21, 17), (12, 17), (27, 0), (2, 28), (28, 12), (26, 11), (16, 21), (3, 17), (23, 3), (18, 16), (19, 23), (7, 22), (10, 5), (24, 22), (8, 29), (17, 23), (11, 20), (14, 5), (7, 34), (22, 6), (13, 18), (25, 23), (1, 6), (19, 26), (22, 4), (5, 30), (5, 6), (2, 27), (5, 27), (12, 2), (6, 13), (27, 33), (22, 0), (20, 25), (2, 25), (9, 21), (18, 30), (11, 32), (10, 33), (25, 4), (19, 21), (2, 21), (7, 28), (3, 22), (12, 12), (0, 6), (29, 13), (23, 20), (6, 16), (28, 1), (20, 18), (21, 7), (19, 24), (23, 5), (16, 25), (15, 7), (21, 21), (18, 18), (29, 11), (21, 4), (8, 14), (26, 22), (30, 11), (6, 25), (29, 25), (14, 30), (9, 15), (24, 27), (14, 11), (1, 8), (17, 6), (9, 17), (9, 13), (4, 7), (5, 13), (25, 25), (25, 21), (23, 32), (8, 33), (5, 29), (10, 22), (14, 9), (1, 3), (20, 1), (29, 2), (17, 27), (26, 6), (5, 22), (22, 9), (21, 15), (7, 11), (19, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 15), (32, 18), (11, 17), (26, 35), (0, 16), (12, 33), (13, 32), (0, 13), (11, 33), (28, 19), (1, 16), (17, 12), (31, 33), (23, 4), (10, 21), (3, 4), (11, 34), (4, 26), (9, 6), (35, 19), (14, 11), (3, 9), (5, 19), (8, 17), (29, 21), (1, 36), (12, 14), (31, 14), (26, 3), (2, 13), (7, 24), (21, 31), (24, 25), (18, 34), (1, 8), (14, 19), (15, 3), (5, 22), (30, 29), (17, 4), (10, 6), (33, 6), (15, 24), (4, 19), (21, 7), (4, 6), (22, 7), (34, 11), (15, 23), (5, 35), (9, 9), (7, 7), (8, 22), (24, 19), (8, 36), (32, 32), (34, 25), (29, 19), (20, 18), (19, 18), (21, 27), (33, 16), (7, 26), (10, 14), (22, 6), (10, 27), (27, 16), (4, 3), (3, 13), (11, 24), (19, 20), (21, 33), (18, 7), (23, 33), (29, 17), (26, 11), (0, 5), (13, 28), (33, 37), (12, 7), (26, 20), (26, 24), (1, 28), (30, 26), (27, 8), (24, 30), (29, 3), (27, 33), (15, 6), (27, 3), (19, 10), (19, 31), (5, 29), (31, 24), (16, 35), (24, 10), (7, 22), (13, 22), (0, 19), (20, 11), (6, 10), (14, 1), (28, 24), (15, 33), (24, 21), (6, 8), (18, 21), (17, 27), (22, 16), (20, 28), (28, 30), (16, 23), (29, 31), (17, 30), (34, 37), (25, 37), (13, 31), (1, 18), (24, 36), (16, 8), (17, 9), (35, 11), (6, 20), (28, 3), (32, 28), (8, 21), (16, 34), (32, 33), (25, 14), (0, 4), (28, 37), (12, 37), (15, 0), (9, 37), (5, 18), (30, 28), (8, 25), (20, 7), (27, 15), (0, 12), (19, 16), (20, 10), (26, 1), (11, 25), (26, 5), (11, 31), (22, 21), (32, 19), (4, 37), (31, 30), (7, 11), (19, 23), (27, 7), (2, 5), (23, 21), (2, 18), (30, 7), (21, 9), (0, 34), (11, 30), (31, 12), (21, 30), (23, 18), (27, 26), (2, 27), (13, 2), (4, 13), (26, 10), (31, 8), (11, 18), (30, 24), (27, 34), (30, 18), (23, 27), (9, 13), (15, 29), (1, 34), (32, 30), (9, 28), (8, 19), (17, 1), (21, 1), (31, 15), (33, 2), (33, 21), (14, 24), (24, 1), (27, 12), (2, 12), (10, 26), (18, 28), (23, 30), (1, 29), (12, 26), (1, 26), (29, 0), (5, 9), (6, 4), (13, 25), (14, 35), (9, 24), (28, 29), (32, 2), (13, 35), (24, 27), (5, 11), (30, 34), (33, 26), (22, 13), (28, 25), (21, 3), (24, 15), (15, 30), (30, 17), (14, 2), (18, 1), (11, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 29), (24, 5), (4, 1), (23, 18), (10, 1), (7, 3), (2, 15), (30, 0), (4, 14), (3, 21), (8, 30), (16, 20), (19, 18), (1, 26), (9, 5), (5, 2), (19, 29), (26, 1), (29, 9), (21, 9), (11, 1), (0, 20), (29, 4), (22, 23), (15, 34), (10, 12), (10, 27), (13, 18), (22, 27), (30, 9), (20, 1), (31, 14), (28, 27), (15, 3), (17, 10), (29, 35), (27, 13), (11, 21), (27, 14), (13, 14), (12, 12), (13, 32), (17, 20), (26, 7), (17, 12), (4, 26), (9, 28), (2, 27), (31, 1), (22, 25), (26, 23), (0, 26), (25, 14), (31, 17), (6, 8), (7, 20), (26, 32), (7, 5), (15, 12), (6, 15), (1, 17), (20, 21), (13, 5), (9, 25), (6, 6), (9, 26), (10, 28), (30, 17), (10, 8), (5, 9), (17, 15), (22, 14), (24, 4), (28, 16), (29, 25), (6, 31), (25, 34), (30, 19), (7, 32), (17, 29), (15, 25), (25, 19), (2, 7), (10, 9), (19, 32), (4, 7), (10, 33), (6, 14), (8, 7), (8, 4), (14, 22), (11, 11), (15, 21), (28, 11), (31, 5), (26, 35), (14, 20), (7, 9), (19, 19), (10, 34), (27, 32), (12, 1), (25, 21), (6, 18), (19, 23), (21, 31), (7, 15), (3, 20), (7, 26), (28, 23), (14, 27), (6, 11), (20, 10), (9, 29), (27, 30), (14, 2), (19, 22), (22, 33), (2, 25), (0, 27), (3, 33), (32, 4), (13, 16), (32, 33), (16, 12), (32, 29), (2, 31), (0, 23), (4, 16), (17, 30), (21, 26), (9, 31), (2, 34), (24, 27), (19, 16), (27, 28), (24, 15), (2, 12), (4, 18), (11, 12), (9, 32), (26, 28), (21, 11), (17, 24), (7, 30), (1, 34), (3, 4), (21, 12), (4, 13), (20, 31), (29, 19), (22, 6), (3, 25), (6, 33), (24, 0), (9, 12), (19, 33), (6, 26), (11, 15), (0, 12), (12, 24), (4, 20), (24, 12), (24, 1), (0, 32), (7, 4), (7, 17), (23, 19), (8, 13), (22, 7), (20, 19), (23, 3), (2, 11), (29, 7), (12, 29), (23, 27), (2, 16), (22, 30), (4, 34), (0, 3), (13, 13), (25, 6), (9, 17), (26, 16), (32, 14), (13, 34), (21, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 27), (22, 6), (0, 26), (14, 21), (28, 10), (8, 10), (5, 25), (20, 25), (12, 19), (11, 22), (2, 0), (32, 21), (20, 13), (19, 27), (24, 26), (4, 4), (15, 20), (6, 15), (18, 8), (26, 10), (15, 2), (17, 5), (5, 8), (13, 12), (14, 27), (19, 18), (21, 27), (8, 17), (9, 22), (14, 24), (14, 3), (16, 8), (12, 11), (3, 28), (34, 26), (11, 9), (7, 31), (12, 31), (30, 27), (25, 12), (9, 25), (26, 16), (1, 14), (20, 11), (30, 11), (17, 11), (17, 16), (32, 11), (21, 17), (13, 3), (10, 30), (28, 21), (9, 20), (12, 5), (17, 12), (23, 13), (23, 9), (10, 31), (10, 20), (8, 0), (29, 12), (16, 22), (33, 5), (13, 19), (10, 4), (20, 8), (29, 28), (0, 19), (18, 11), (20, 0), (12, 30), (9, 19), (1, 23), (6, 31), (12, 8), (27, 13), (1, 29), (5, 19), (23, 6), (15, 23), (33, 23), (27, 16), (34, 21), (20, 2), (10, 26), (25, 18), (0, 8), (28, 22), (17, 7), (24, 14), (17, 15), (12, 17), (21, 7), (34, 24), (33, 10), (9, 0), (9, 16), (7, 18), (29, 11), (18, 16), (9, 12), (17, 25), (11, 4), (33, 28), (13, 28), (8, 7), (6, 0), (25, 0), (30, 14), (0, 29), (24, 27), (16, 9), (22, 30), (26, 26), (30, 21), (21, 1), (26, 24), (23, 10), (25, 24), (23, 11), (25, 15), (16, 12), (11, 20), (16, 26), (22, 21), (31, 11), (32, 29), (7, 26), (32, 12), (13, 29), (29, 10), (10, 6), (18, 5), (13, 4), (19, 2), (7, 29), (21, 4), (21, 5), (31, 3), (5, 10), (33, 20), (20, 29), (8, 3), (3, 11), (1, 22), (13, 8), (13, 11), (30, 29), (21, 11), (16, 16), (3, 29), (18, 30), (21, 19), (9, 10), (7, 4), (6, 7), (30, 4), (9, 27), (32, 2), (21, 30), (34, 12), (4, 22), (6, 28), (3, 18), (10, 15), (5, 26), (10, 2), (1, 27), (3, 7), (32, 18), (17, 6), (33, 8), (34, 5), (24, 25), (26, 21), (26, 15), (14, 31), (22, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 34x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 3), (8, 27), (26, 17), (21, 22), (14, 5), (25, 0), (2, 25), (11, 5), (29, 19), (28, 25), (20, 14), (26, 28), (16, 13), (12, 11), (1, 11), (25, 23), (11, 3), (19, 15), (21, 27), (23, 15), (21, 6), (16, 1), (19, 11), (25, 10), (18, 5), (2, 0), (8, 17), (26, 22), (21, 7), (13, 9), (16, 7), (6, 24), (17, 19), (7, 13), (0, 28), (28, 6), (32, 10), (25, 18), (7, 8), (19, 1), (0, 26), (0, 12), (13, 19), (1, 18), (14, 10), (10, 6), (20, 27), (12, 14), (12, 26), (25, 12), (18, 0), (13, 16), (15, 22), (17, 8), (29, 0), (21, 15), (33, 5), (32, 29), (21, 24), (26, 19), (29, 20), (30, 19), (15, 16), (25, 22), (19, 9), (3, 25), (26, 18), (13, 23), (8, 25), (23, 17), (16, 9), (21, 21), (4, 27), (15, 21), (30, 13), (19, 0), (19, 21), (3, 24), (32, 1), (5, 21), (2, 15), (11, 14), (29, 12), (26, 8), (10, 13), (17, 16), (1, 6), (15, 27), (4, 2), (15, 13), (2, 12), (9, 12), (13, 1), (6, 21), (13, 10), (22, 8), (5, 20), (7, 22), (11, 6), (11, 27), (9, 18), (21, 8), (33, 1), (1, 24), (4, 8), (18, 29), (27, 22), (6, 26), (3, 8), (15, 8), (3, 23), (16, 4), (5, 24), (14, 25), (0, 19), (25, 3), (1, 8), (2, 18), (15, 3), (3, 20), (10, 29), (24, 28), (5, 27), (6, 22), (33, 11), (12, 4), (26, 16), (22, 9), (7, 2), (10, 24), (17, 13), (5, 23), (28, 15), (0, 9), (19, 26), (6, 1), (12, 2), (31, 11), (9, 29), (13, 25), (27, 3), (23, 0), (2, 2), (8, 23), (9, 27), (20, 20), (4, 3), (6, 15), (18, 6), (27, 6), (1, 7), (27, 15), (0, 5), (12, 24), (18, 14), (12, 7), (11, 24), (31, 13), (12, 6), (24, 23), (28, 1), (28, 26), (22, 4), (31, 19), (15, 14), (28, 8), (3, 28), (1, 17), (13, 28), (20, 15), (21, 25), (31, 10), (10, 1), (15, 2), (3, 6), (18, 9), (19, 6), (23, 28), (12, 8), (29, 10), (33, 20), (33, 19), (7, 9), (30, 15), (26, 1), (14, 18), (21, 9), (1, 12), (23, 18), (3, 14), (16, 10), (9, 11), (16, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 35x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 33), (14, 13), (29, 7), (15, 19), (13, 23), (22, 1), (3, 10), (7, 21), (12, 20), (30, 22), (7, 1), (3, 9), (8, 25), (12, 17), (16, 4), (11, 32), (1, 34), (27, 26), (19, 23), (26, 26), (28, 2), (7, 18), (18, 8), (18, 10), (13, 3), (23, 23), (14, 9), (3, 21), (13, 12), (28, 32), (28, 25), (30, 18), (23, 22), (7, 23), (21, 17), (13, 31), (1, 20), (25, 16), (22, 18), (1, 9), (25, 4), (4, 2), (6, 30), (31, 19), (25, 6), (25, 24), (11, 22), (4, 10), (12, 15), (10, 33), (11, 21), (3, 17), (7, 10), (2, 20), (28, 4), (34, 24), (13, 29), (21, 12), (27, 3), (14, 32), (15, 12), (25, 34), (16, 26), (5, 33), (18, 27), (33, 27), (17, 28), (12, 27), (24, 21), (9, 31), (14, 12), (24, 26), (22, 12), (7, 16), (5, 10), (24, 19), (28, 29), (32, 6), (4, 3), (22, 30), (28, 1), (10, 4), (27, 31), (8, 32), (21, 26), (13, 13), (34, 16), (24, 3), (15, 3), (23, 25), (5, 24), (2, 6), (27, 23), (32, 26), (13, 11), (3, 1), (13, 18), (6, 31), (17, 4), (9, 24), (18, 3), (18, 32), (20, 0), (27, 20), (0, 11), (12, 32), (33, 10), (20, 24), (21, 4), (11, 29), (13, 20), (17, 15), (12, 12), (13, 32), (32, 16), (6, 14), (24, 29), (27, 32), (16, 6), (20, 13), (2, 12), (26, 33), (30, 8), (32, 29), (31, 33), (21, 0), (17, 23), (14, 25), (11, 0), (4, 8), (15, 0), (31, 27), (27, 4), (30, 13), (21, 23), (13, 1), (16, 14), (4, 32), (31, 34), (28, 15), (14, 10), (34, 10), (26, 31), (17, 26), (15, 26), (29, 34), (17, 25), (12, 2), (9, 12), (24, 17), (23, 19), (4, 21), (15, 2), (5, 27), (1, 14), (24, 15), (32, 20), (18, 19), (32, 32), (20, 32), (6, 7), (28, 13), (22, 14), (33, 0), (29, 12), (15, 13), (2, 4), (14, 16), (30, 7), (9, 26), (9, 13), (1, 3), (33, 14), (17, 22), (9, 9), (3, 30), (31, 9), (11, 3), (31, 12), (13, 28), (2, 25), (26, 11), (12, 31), (25, 18), (3, 33), (8, 27), (8, 19), (22, 34), (9, 3), (3, 8), (8, 7), (22, 4), (15, 24), (4, 25), (11, 8), (8, 23), (9, 28), (23, 34), (15, 17), (3, 0), (28, 22), (5, 9), (9, 1), (19, 29), (4, 14), (8, 8), (2, 3), (30, 17), (12, 33), (10, 34), (8, 4), (25, 2), (21, 7), (0, 3), (13, 27), (6, 17), (19, 18), (13, 17), (21, 24), (15, 9), (26, 23), (19, 26), (21, 28), (34, 32), (11, 11), (32, 12), (13, 5), (12, 11), (29, 31), (34, 30), (26, 24), (27, 19), (17, 13), (19, 30), (19, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 39x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 12), (12, 10), (31, 18), (0, 11), (18, 8), (34, 13), (13, 12), (26, 13), (34, 0), (27, 24), (18, 21), (15, 12), (15, 17), (5, 5), (5, 15), (19, 11), (14, 17), (16, 9), (21, 11), (24, 11), (10, 29), (20, 23), (24, 25), (5, 17), (30, 23), (1, 7), (10, 23), (26, 21), (26, 9), (10, 17), (36, 23), (20, 14), (31, 12), (10, 4), (23, 13), (35, 27), (36, 14), (29, 4), (9, 22), (2, 20), (38, 4), (7, 0), (12, 28), (17, 5), (20, 10), (20, 12), (16, 23), (10, 11), (1, 23), (3, 3), (0, 23), (19, 3), (21, 16), (8, 23), (35, 14), (34, 20), (35, 13), (13, 28), (33, 27), (26, 19), (23, 26), (36, 18), (1, 29), (19, 19), (2, 13), (20, 7), (26, 27), (26, 12), (3, 22), (34, 29), (15, 24), (20, 4), (11, 29), (38, 24), (32, 28), (4, 11), (35, 8), (28, 3), (32, 1), (26, 8), (2, 1), (24, 29), (11, 10), (8, 14), (33, 7), (5, 8), (2, 25), (34, 8), (0, 29), (16, 12), (3, 6), (27, 3), (6, 26), (7, 24), (8, 18), (19, 21), (26, 10), (23, 9), (17, 19), (2, 0), (4, 15), (10, 24), (35, 20), (34, 6), (22, 17), (32, 24), (28, 18), (15, 7), (36, 8), (19, 29), (2, 27), (14, 20), (28, 11), (9, 16), (13, 27), (35, 28), (14, 2), (17, 16), (15, 16), (23, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 33), (26, 16), (10, 12), (9, 23), (15, 32), (25, 16), (22, 31), (29, 9), (4, 23), (27, 16), (3, 27), (8, 4), (9, 21), (1, 33), (2, 29), (24, 6), (24, 21), (18, 14), (0, 6), (21, 32), (15, 26), (21, 2), (12, 32), (31, 20), (2, 4), (22, 4), (15, 18), (24, 17), (12, 30), (29, 10), (6, 28), (14, 3), (2, 14), (12, 21), (4, 19), (15, 34), (26, 7), (18, 4), (11, 24), (17, 0), (23, 27), (11, 28), (7, 34), (9, 5), (14, 16), (16, 1), (17, 13), (25, 5), (30, 20), (24, 18), (25, 2), (26, 19), (4, 15), (0, 2), (1, 0), (3, 3), (3, 26), (5, 3), (22, 6), (5, 11), (15, 13), (22, 1), (8, 30), (21, 17), (31, 4), (10, 19), (6, 20), (13, 23), (2, 9), (26, 15), (19, 25), (14, 27), (26, 32), (18, 7), (27, 7), (3, 28), (1, 23), (29, 6), (10, 14), (22, 30), (29, 16), (10, 1), (27, 8), (22, 27), (32, 27), (27, 11), (9, 8), (16, 3), (10, 28), (11, 6), (9, 25), (0, 4), (12, 4), (19, 31), (14, 30), (10, 24), (29, 19), (0, 23), (7, 16), (17, 8), (9, 34), (9, 15), (13, 11), (31, 1), (32, 5), (24, 12), (32, 14), (31, 34), (22, 25), (1, 29), (25, 20), (8, 13), (10, 21), (32, 23), (2, 20), (3, 23), (1, 18), (25, 34), (6, 27), (6, 16), (25, 17), (0, 30), (27, 4), (2, 26), (5, 14), (16, 14), (8, 29), (24, 34), (16, 34), (31, 12), (15, 4), (20, 15), (13, 33), (20, 16), (32, 25), (19, 11), (8, 2), (24, 7), (24, 9), (0, 21), (28, 18), (16, 30), (17, 14), (6, 15), (14, 6), (32, 6), (20, 25), (26, 13), (11, 9), (26, 34), (15, 21), (6, 6), (22, 23), (14, 19), (16, 2), (16, 33), (23, 4), (27, 5), (2, 33), (27, 31), (11, 7), (30, 10), (22, 16), (16, 10), (23, 20), (17, 18), (9, 13), (19, 6), (8, 12), (17, 31), (24, 3), (20, 18), (25, 18), (21, 31), (29, 13), (2, 21), (31, 8), (18, 29), (16, 26), (16, 23), (7, 29), (11, 11), (4, 27), (13, 25), (16, 32), (5, 1), (12, 33), (4, 20), (0, 20), (9, 12), (1, 4), (9, 30), (18, 19), (32, 28), (0, 19), (17, 17), (18, 31), (1, 25), (3, 16), (26, 11), (23, 3), (30, 24), (27, 15), (22, 7), (25, 19), (10, 27), (7, 5), (8, 23), (21, 7), (19, 29), (10, 0), (21, 11), (1, 32), (21, 26), (17, 25), (13, 29), (23, 17), (30, 7), (15, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 13), (17, 0), (9, 3), (31, 24), (21, 35), (26, 36), (3, 3), (8, 12), (34, 19), (9, 36), (3, 2), (8, 1), (18, 31), (21, 38), (6, 35), (22, 23), (7, 19), (5, 20), (20, 0), (24, 23), (22, 17), (22, 11), (26, 26), (16, 12), (9, 22), (15, 25), (19, 18), (33, 13), (5, 10), (9, 21), (22, 22), (25, 2), (1, 12), (27, 34), (15, 3), (11, 1), (0, 16), (35, 3), (18, 14), (30, 19), (3, 34), (30, 37), (19, 35), (33, 22), (15, 33), (10, 9), (12, 13), (31, 6), (3, 10), (11, 16), (31, 9), (29, 20), (18, 6), (8, 0), (3, 35), (14, 8), (2, 33), (10, 15), (5, 23), (27, 1), (31, 19), (12, 7), (13, 3), (31, 35), (21, 27), (21, 10), (22, 35), (27, 23), (29, 8), (5, 21), (6, 6), (32, 15), (15, 2), (27, 21), (22, 4), (30, 24), (8, 22), (7, 34), (21, 17), (10, 1), (35, 28), (30, 21), (25, 20), (29, 12), (32, 11), (30, 17), (5, 19), (9, 18), (21, 2), (32, 34), (4, 12), (26, 32), (23, 36), (25, 7), (11, 20), (20, 17), (1, 13), (21, 14), (34, 1), (35, 31), (21, 20), (4, 5), (3, 8), (11, 26), (13, 32), (30, 31), (1, 16), (6, 9), (17, 32), (6, 0), (15, 6), (3, 0), (9, 1), (23, 29), (32, 30), (14, 30), (24, 25), (8, 33), (0, 3), (30, 8), (19, 30), (18, 33), (16, 24), (19, 3), (22, 1), (27, 4), (29, 16), (27, 24), (28, 13), (24, 7), (20, 3), (19, 5), (1, 25), (27, 2), (1, 23), (16, 8), (13, 19), (2, 15), (20, 36), (2, 11), (28, 11), (8, 9), (4, 30), (35, 10), (29, 4), (32, 2), (30, 5), (20, 23), (15, 38), (18, 22), (1, 37), (2, 24), (0, 12), (24, 15), (0, 5), (2, 3), (9, 24), (27, 17), (3, 22), (12, 20), (6, 36), (31, 16), (29, 17), (11, 0), (6, 3), (34, 24), (0, 21), (13, 21), (23, 32), (2, 36), (29, 15), (13, 12), (32, 36), (21, 18), (12, 6), (28, 2), (12, 24), (24, 20), (3, 15), (31, 15), (1, 21), (14, 25), (4, 3), (32, 20), (18, 28), (31, 30), (7, 18), (22, 33), (33, 16), (25, 13), (15, 0), (13, 24), (13, 2), (14, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 28), (15, 32), (17, 11), (17, 26), (20, 2), (1, 16), (17, 6), (4, 25), (23, 34), (24, 29), (21, 2), (20, 28), (19, 33), (0, 8), (17, 36), (2, 3), (21, 19), (12, 24), (3, 31), (29, 26), (10, 4), (12, 36), (26, 37), (24, 23), (28, 8), (26, 7), (13, 10), (20, 19), (14, 2), (20, 17), (5, 33), (30, 28), (6, 10), (4, 3), (29, 4), (14, 37), (11, 21), (18, 34), (25, 17), (3, 9), (13, 35), (8, 16), (24, 3), (21, 14), (12, 5), (30, 19), (29, 12), (12, 15), (3, 17), (14, 36), (16, 21), (16, 34), (26, 4), (12, 23), (28, 11), (18, 18), (6, 29), (9, 19), (12, 18), (25, 30), (1, 5), (6, 26), (6, 8), (0, 35), (10, 32), (4, 29), (2, 30), (23, 11), (20, 37), (18, 38), (14, 8), (24, 36), (15, 15), (1, 9), (23, 1), (30, 20), (8, 1), (19, 11), (28, 9), (19, 30), (9, 23), (24, 13), (4, 27), (18, 7), (20, 14), (26, 34), (22, 0), (18, 14), (17, 27), (28, 36), (2, 18), (19, 31), (29, 13), (23, 0), (11, 8), (27, 32), (16, 35), (6, 37), (28, 29), (12, 8), (5, 26), (21, 13), (14, 15), (19, 5), (1, 12), (16, 6), (26, 18), (30, 12), (15, 24), (15, 35), (10, 10), (10, 8), (22, 6), (14, 14), (17, 4), (4, 16), (25, 9), (31, 18), (16, 13), (5, 0), (12, 2), (27, 31), (14, 1), (11, 18), (9, 2), (7, 24), (14, 9), (25, 23), (4, 34), (9, 25), (30, 21), (28, 32), (5, 13), (8, 22), (1, 7), (0, 15), (19, 17), (0, 30), (2, 10), (13, 25), (3, 35), (2, 33), (4, 21), (15, 12), (9, 33), (8, 14), (27, 27), (31, 2), (4, 12), (19, 12), (2, 6), (28, 34), (29, 19), (9, 30), (28, 6), (23, 26), (10, 11), (1, 36), (15, 26), (28, 30), (5, 6), (22, 5), (8, 20), (18, 21), (22, 1), (25, 2), (24, 38), (15, 28), (19, 20), (19, 26), (10, 35), (25, 29), (16, 18), (26, 6), (10, 34), (31, 9), (1, 32), (10, 9), (1, 29), (10, 31), (10, 13), (2, 35), (23, 22), (13, 29), (22, 15), (20, 21), (29, 35), (23, 35), (8, 31), (5, 22), (19, 2), (29, 27), (15, 33), (26, 35), (9, 37), (15, 5), (9, 29), (11, 9), (2, 38), (2, 15), (15, 8), (13, 31), (29, 0), (24, 7), (31, 22), (27, 30), (30, 32), (28, 22), (27, 36), (3, 19), (18, 8), (0, 37), (1, 13), (11, 32), (9, 14), (14, 24), (13, 34), (10, 1), (7, 9), (20, 27), (9, 11), (16, 12), (12, 27), (29, 8), (6, 3), (23, 8), (3, 34), (25, 24), (7, 38), (31, 24), (6, 31), (2, 17), (8, 38), (1, 17), (21, 22), (21, 33), (30, 38), (10, 36), (13, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 36), (3, 10), (13, 24), (19, 32), (22, 8), (25, 31), (4, 28), (0, 13), (13, 28), (22, 32), (16, 20), (13, 36), (29, 14), (18, 0), (5, 7), (1, 20), (22, 10), (10, 26), (3, 3), (5, 19), (28, 32), (22, 4), (10, 6), (23, 11), (1, 36), (7, 10), (15, 8), (19, 16), (2, 3), (0, 18), (10, 23), (24, 28), (20, 23), (4, 13), (11, 21), (5, 13), (28, 22), (14, 13), (26, 28), (16, 22), (29, 27), (23, 26), (6, 20), (21, 28), (13, 16), (19, 25), (6, 3), (29, 13), (28, 10), (21, 19), (16, 4), (24, 1), (21, 5), (23, 22), (27, 10), (9, 7), (15, 7), (3, 23), (11, 5), (6, 34), (11, 34), (27, 31), (22, 31), (14, 30), (29, 25), (16, 15), (2, 13), (22, 18), (15, 19), (15, 10), (23, 25), (7, 18), (17, 29), (16, 27), (1, 6), (5, 29), (25, 11), (29, 20), (12, 36), (27, 11), (22, 0), (27, 30), (24, 6), (25, 33), (16, 9), (25, 20), (4, 32), (25, 32), (12, 21), (4, 5), (11, 23), (5, 34), (15, 20), (18, 19), (16, 19), (25, 22), (20, 36), (7, 27), (10, 32), (7, 34), (16, 13), (13, 19), (19, 22), (14, 20), (27, 22), (2, 2), (27, 5), (24, 9), (18, 20), (22, 25), (9, 6), (10, 7), (29, 15), (13, 6), (8, 16), (28, 23), (17, 22), (14, 36), (12, 18), (27, 13), (21, 34), (2, 16), (10, 22), (13, 18), (8, 21), (17, 19), (14, 5), (13, 4), (5, 35), (20, 33), (10, 34), (12, 31), (16, 11), (13, 2), (0, 21), (24, 18), (24, 29), (8, 9), (6, 5), (13, 22), (27, 36), (0, 25), (14, 7), (2, 36), (5, 16), (26, 0), (17, 28), (27, 19), (9, 14), (5, 6), (14, 17), (11, 2), (28, 2), (25, 19), (27, 12), (7, 33), (15, 31), (8, 5), (15, 23), (10, 11), (10, 5), (6, 6), (25, 18), (21, 26), (8, 1), (16, 35), (1, 9), (6, 1), (9, 35), (25, 34), (3, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 2), (25, 11), (27, 34), (23, 30), (18, 0), (2, 23), (5, 13), (21, 31), (23, 36), (22, 26), (20, 37), (15, 17), (11, 13), (20, 35), (10, 24), (10, 37), (20, 30), (5, 11), (6, 4), (18, 4), (16, 30), (6, 22), (9, 36), (3, 36), (4, 10), (9, 9), (28, 22), (23, 21), (0, 15), (19, 30), (6, 32), (10, 14), (22, 13), (25, 19), (20, 36), (27, 23), (29, 8), (27, 37), (6, 33), (5, 31), (28, 8), (29, 27), (3, 20), (9, 18), (0, 9), (12, 25), (18, 18), (11, 30), (21, 25), (9, 32), (7, 7), (9, 33), (4, 7), (15, 4), (16, 8), (27, 4), (20, 9), (17, 36), (21, 17), (19, 31), (28, 14), (28, 0), (20, 33), (15, 2), (0, 37), (24, 12), (9, 23), (18, 10), (20, 22), (25, 23), (26, 23), (19, 27), (4, 17), (14, 20), (29, 3), (13, 37), (11, 14), (15, 26), (17, 22), (11, 12), (14, 16), (15, 16), (1, 18), (25, 36), (10, 23), (4, 27), (23, 14), (3, 28), (19, 3), (14, 29), (6, 23), (11, 4), (23, 29), (2, 37), (17, 18), (5, 7), (10, 31), (23, 33), (16, 37), (12, 30), (26, 22), (6, 27), (6, 8), (5, 30), (15, 24), (26, 35), (16, 36), (26, 3), (19, 33), (16, 29), (17, 31), (20, 20), (19, 10), (28, 25), (28, 28), (7, 12), (22, 12), (4, 8), (6, 26), (8, 25), (26, 1), (19, 25), (17, 27), (6, 29), (14, 24), (17, 24), (20, 0), (16, 26), (23, 31), (27, 27), (25, 17), (29, 1), (12, 28), (11, 21), (7, 32), (12, 20), (13, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 5), (12, 28), (26, 20), (28, 23), (7, 0), (9, 30), (36, 18), (6, 23), (0, 23), (32, 5), (28, 14), (15, 4), (26, 30), (28, 28), (18, 11), (25, 27), (25, 14), (10, 29), (7, 13), (3, 17), (6, 25), (5, 22), (3, 22), (13, 20), (10, 25), (19, 28), (10, 5), (24, 11), (28, 18), (15, 30), (1, 13), (20, 17), (30, 25), (3, 1), (34, 22), (31, 23), (24, 13), (34, 24), (37, 11), (36, 21), (13, 17), (30, 11), (16, 27), (2, 17), (32, 19), (7, 3), (32, 27), (22, 20), (0, 19), (19, 19), (25, 6), (3, 18), (30, 14), (29, 8), (7, 20), (8, 23), (18, 20), (29, 6), (33, 11), (11, 18), (32, 29), (35, 0), (38, 19), (38, 6), (13, 12), (21, 7), (1, 23), (7, 28), (25, 5), (35, 26), (10, 18), (7, 12), (38, 15), (26, 14), (10, 1), (38, 22), (25, 30), (8, 26), (18, 4), (23, 16), (7, 21), (15, 15), (6, 10), (13, 29), (33, 25), (9, 23), (11, 10), (27, 2), (16, 8), (3, 14), (0, 4), (24, 15), (38, 7), (36, 29), (21, 22), (17, 26), (11, 13), (2, 28), (27, 3), (17, 16), (30, 6), (36, 1), (33, 8), (18, 13), (9, 26), (16, 24), (17, 17), (17, 20), (36, 7), (4, 21), (3, 6), (21, 17), (29, 2), (14, 12), (13, 16), (10, 3), (20, 8), (1, 27), (10, 11), (26, 19), (17, 3), (34, 10), (13, 25), (6, 3), (36, 25), (9, 17), (0, 18), (8, 17), (6, 28), (19, 27), (33, 19), (34, 5), (20, 22), (8, 24), (29, 22), (11, 0), (15, 7), (31, 29), (6, 2), (28, 0), (21, 20), (23, 24), (34, 29), (12, 13), (16, 3), (23, 28), (38, 11), (4, 27), (10, 2), (12, 5), (18, 8), (0, 12), (33, 3), (13, 23), (37, 30), (15, 14), (24, 27), (23, 14), (31, 9), (18, 25), (20, 2), (24, 8), (35, 11), (13, 1), (5, 24), (12, 27), (10, 7), (38, 3), (21, 14), (15, 22), (7, 24), (1, 29), (15, 26), (8, 27), (15, 24), (18, 12), (19, 29), (23, 5), (30, 18), (33, 5), (28, 16), (33, 30), (2, 27), (37, 26), (20, 15), (22, 30), (20, 11), (20, 7), (4, 28), (21, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 28), (16, 6), (28, 10), (31, 16), (13, 18), (33, 19), (15, 24), (15, 12), (18, 30), (27, 2), (35, 27), (9, 19), (32, 23), (6, 26), (2, 32), (23, 31), (28, 14), (27, 21), (35, 18), (30, 23), (23, 28), (32, 19), (10, 3), (25, 2), (21, 15), (32, 27), (3, 4), (33, 12), (3, 22), (9, 32), (2, 27), (34, 18), (21, 30), (6, 27), (33, 27), (23, 29), (20, 8), (4, 22), (19, 15), (1, 15), (25, 6), (24, 4), (14, 15), (34, 1), (14, 32), (19, 25), (33, 14), (16, 3), (11, 31), (11, 5), (2, 28), (24, 31), (22, 12), (9, 22), (19, 3), (30, 25), (4, 29), (10, 8), (17, 1), (32, 32), (10, 26), (12, 16), (4, 6), (0, 3), (31, 4), (30, 29), (28, 18), (1, 8), (28, 3), (20, 32), (32, 6), (28, 0), (27, 32), (1, 14), (33, 31), (25, 23), (29, 31), (3, 27), (8, 12), (12, 17), (20, 17), (6, 30), (17, 32), (11, 26), (2, 24), (21, 21), (3, 0), (25, 16), (32, 17), (33, 6), (6, 32), (19, 2), (33, 25), (5, 16), (6, 1), (32, 20), (12, 23), (17, 23), (18, 26), (34, 13), (20, 1), (33, 2), (27, 29), (8, 18), (22, 13), (36, 2), (33, 7), (21, 12), (0, 11), (15, 25), (9, 9), (14, 21), (11, 7), (25, 15), (9, 31), (26, 7), (34, 19), (16, 15), (22, 18), (31, 26), (11, 21), (20, 7), (22, 31), (3, 24), (12, 21), (25, 14), (4, 16), (14, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 7), (18, 4), (30, 10), (31, 8), (17, 25), (21, 24), (14, 19), (10, 25), (2, 0), (3, 11), (7, 15), (7, 2), (6, 14), (28, 4), (21, 7), (20, 2), (15, 24), (0, 14), (14, 29), (7, 17), (5, 11), (24, 1), (21, 1), (24, 5), (25, 20), (13, 2), (31, 21), (4, 29), (9, 16), (21, 20), (30, 28), (21, 26), (22, 3), (25, 18), (14, 5), (28, 2), (11, 1), (26, 26), (7, 16), (26, 7), (18, 26), (5, 22), (2, 6), (13, 10), (8, 12), (20, 25), (4, 13), (21, 10), (27, 14), (1, 10), (18, 21), (13, 14), (26, 19), (18, 1), (10, 1), (23, 16), (18, 20), (3, 9), (16, 24), (3, 15), (22, 10), (18, 5), (9, 13), (20, 3), (28, 12), (9, 25), (12, 2), (7, 18), (22, 1), (18, 28), (25, 12), (3, 10), (28, 19), (21, 28), (23, 22), (22, 5), (18, 12), (16, 10), (0, 2), (2, 15), (10, 28), (29, 11), (1, 9), (19, 22), (13, 3), (19, 24), (29, 26), (15, 29), (0, 9), (1, 20), (22, 27), (21, 16), (14, 28), (16, 26), (29, 29), (13, 28), (23, 24), (22, 20), (23, 1), (21, 11), (17, 21), (5, 23), (19, 14), (30, 9), (9, 14), (9, 8), (15, 4), (15, 18), (0, 4), (17, 12), (1, 7), (14, 22), (16, 2), (16, 27), (2, 25), (26, 22), (21, 9), (19, 3), (27, 5), (7, 24), (3, 21), (4, 15), (5, 29), (22, 14), (24, 8), (27, 16), (1, 27), (11, 23), (19, 20), (15, 13), (13, 19), (0, 18), (5, 17), (19, 19), (27, 11), (20, 29), (15, 8), (10, 5), (19, 21), (13, 22), (4, 0), (15, 25), (2, 12), (31, 25), (29, 2), (23, 15), (3, 2), (11, 28), (30, 26), (7, 22), (22, 28), (4, 24), (5, 19), (14, 24), (22, 12), (31, 10), (11, 0), (8, 11), (0, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 33x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 11), (27, 11), (30, 16), (28, 28), (31, 23), (17, 10), (12, 19), (14, 3), (32, 32), (10, 1), (1, 15), (29, 5), (15, 26), (24, 24), (6, 34), (4, 29), (27, 25), (1, 30), (7, 18), (28, 31), (19, 1), (12, 6), (5, 4), (20, 27), (28, 18), (11, 10), (7, 10), (8, 25), (19, 31), (25, 10), (16, 29), (1, 11), (32, 18), (5, 12), (11, 26), (9, 11), (5, 21), (24, 19), (26, 2), (25, 33), (7, 20), (6, 6), (16, 12), (11, 14), (13, 1), (19, 17), (17, 6), (10, 21), (8, 12), (32, 5), (22, 1), (17, 31), (29, 4), (13, 25), (11, 18), (7, 9), (10, 14), (27, 4), (14, 18), (2, 32), (3, 13), (4, 33), (30, 10), (6, 32), (31, 19), (5, 27), (20, 14), (26, 30), (24, 18), (31, 9), (32, 6), (16, 25), (27, 6), (21, 10), (9, 33), (21, 25), (0, 16), (19, 24), (3, 26), (0, 28), (29, 26), (27, 10), (32, 22), (27, 0), (15, 17), (29, 17), (26, 1), (32, 33), (19, 34), (10, 18), (27, 21), (21, 2), (1, 24), (17, 1), (29, 2), (30, 5), (8, 32), (24, 8), (32, 12), (18, 9), (31, 31), (11, 20), (23, 0), (27, 26), (6, 30), (30, 25), (25, 16), (15, 4), (30, 34), (20, 29), (25, 27), (3, 31), (14, 9), (23, 22), (7, 15), (8, 2), (25, 23), (16, 34), (13, 16), (27, 16), (8, 20), (27, 24), (23, 28), (26, 23), (14, 20), (28, 21), (30, 2), (25, 9), (22, 17), (18, 18), (9, 28), (14, 15), (15, 24), (31, 21), (14, 34), (2, 23), (24, 2), (24, 23), (23, 34), (13, 31), (4, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 23), (10, 30), (16, 33), (3, 29), (30, 7), (10, 12), (19, 11), (23, 30), (24, 21), (21, 27), (12, 10), (11, 22), (1, 34), (3, 23), (13, 23), (26, 8), (14, 9), (26, 17), (13, 25), (24, 34), (24, 20), (4, 31), (4, 36), (5, 16), (7, 33), (29, 32), (11, 29), (9, 18), (17, 16), (14, 15), (19, 10), (6, 20), (2, 9), (11, 19), (19, 17), (15, 21), (9, 7), (11, 33), (28, 35), (10, 19), (5, 7), (19, 21), (10, 3), (23, 16), (29, 5), (6, 28), (1, 2), (2, 22), (22, 33), (20, 23), (3, 22), (25, 18), (12, 29), (25, 16), (8, 34), (18, 9), (1, 17), (3, 11), (12, 12), (17, 10), (22, 25), (0, 30), (4, 26), (15, 34), (12, 22), (21, 34), (3, 36), (23, 9), (15, 17), (13, 18), (9, 30), (5, 17), (5, 33), (4, 28), (4, 25), (14, 28), (13, 28), (2, 13), (26, 19), (17, 3), (13, 10), (21, 18), (27, 10), (30, 6), (25, 33), (30, 3), (7, 4), (4, 22), (3, 2), (16, 22), (21, 6), (11, 20), (28, 16), (1, 11), (14, 8), (12, 3), (30, 31), (7, 24), (26, 26), (13, 31), (19, 14), (19, 15), (9, 26), (21, 4), (1, 24), (5, 27), (7, 13), (18, 21), (2, 0), (5, 11), (9, 35), (7, 31), (10, 27), (29, 22), (23, 27), (15, 16), (29, 4), (21, 12), (11, 8), (25, 0), (8, 3), (6, 9), (14, 14), (13, 14), (6, 24), (17, 33), (2, 5), (17, 24), (20, 4), (8, 8), (25, 10), (30, 8), (4, 18), (14, 22), (10, 33), (14, 24), (11, 9), (0, 9), (21, 3), (23, 21), (9, 20), (12, 30), (4, 11), (15, 30), (2, 32), (25, 1), (15, 14), (14, 12), (20, 29), (12, 11), (22, 12), (0, 2), (16, 16), (14, 3), (7, 22), (18, 19), (16, 15), (11, 11), (12, 27), (22, 15), (1, 18), (0, 12), (24, 4), (16, 36), (20, 7), (10, 6), (7, 15), (5, 21), (27, 26), (26, 1), (11, 12), (22, 30), (15, 12), (20, 17), (6, 0), (20, 8), (5, 12), (29, 6), (12, 1), (26, 23), (2, 18), (29, 19), (4, 19), (3, 7), (1, 13), (10, 24), (19, 16), (4, 7), (10, 2), (7, 2), (7, 0), (13, 34), (5, 3), (12, 35), (0, 15), (11, 16), (19, 4), (21, 2), (5, 0), (14, 1), (7, 3), (20, 21), (5, 10), (21, 22), (7, 26), (0, 16), (26, 13), (0, 14), (27, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 30x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 1), (25, 2), (2, 12), (3, 14), (7, 23), (5, 6), (18, 14), (28, 5), (20, 15), (19, 12), (13, 12), (29, 29), (18, 4), (3, 24), (1, 22), (3, 15), (23, 34), (14, 15), (28, 7), (29, 22), (3, 11), (7, 8), (12, 21), (21, 20), (7, 1), (19, 35), (21, 2), (24, 24), (2, 35), (14, 0), (29, 15), (9, 15), (12, 16), (14, 9), (28, 15), (24, 18), (26, 28), (18, 18), (19, 7), (18, 7), (11, 17), (20, 25), (19, 4), (12, 31), (15, 6), (2, 32), (12, 12), (21, 5), (26, 18), (19, 2), (2, 36), (25, 19), (3, 12), (15, 10), (18, 26), (20, 36), (23, 21), (8, 31), (27, 19), (25, 21), (4, 7), (8, 4), (20, 9), (9, 4), (25, 32), (15, 33), (22, 28), (18, 34), (28, 32), (23, 26), (25, 9), (24, 21), (26, 32), (29, 24), (22, 29), (16, 35), (14, 8), (26, 19), (15, 19), (21, 19), (16, 30), (10, 26), (20, 7), (27, 26), (4, 31), (5, 14), (14, 35), (27, 12), (12, 7), (6, 18), (3, 10), (18, 16), (14, 12), (24, 13), (5, 7), (10, 5), (0, 6), (11, 24), (14, 26), (10, 17), (19, 22), (12, 23), (23, 23), (15, 7), (12, 36), (8, 17), (2, 25), (16, 14), (14, 22), (1, 35), (22, 20), (9, 0), (18, 24), (13, 36), (27, 28), (8, 8), (16, 20), (8, 30), (25, 16), (22, 0), (9, 31), (23, 17), (16, 25), (10, 36), (25, 13), (2, 28), (10, 15), (26, 3), (2, 8), (10, 9), (12, 3), (6, 13), (19, 31), (7, 3), (21, 15), (29, 19), (1, 21), (5, 1), (18, 36), (29, 34), (7, 7), (10, 25), (29, 31), (28, 25), (6, 5), (17, 14), (26, 21), (3, 2), (27, 25), (16, 10), (0, 9), (14, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 29), (29, 6), (14, 1), (32, 8), (33, 8), (1, 13), (1, 14), (29, 22), (33, 31), (21, 28), (8, 29), (27, 2), (23, 28), (33, 10), (17, 12), (10, 17), (20, 15), (27, 8), (2, 0), (20, 31), (21, 27), (29, 20), (30, 31), (16, 19), (17, 16), (18, 20), (29, 16), (19, 7), (22, 6), (1, 9), (5, 2), (16, 22), (32, 3), (10, 22), (32, 13), (28, 0), (9, 29), (14, 10), (21, 5), (31, 19), (28, 25), (31, 29), (27, 31), (25, 7), (31, 23), (18, 11), (37, 18), (33, 14), (3, 3), (27, 19), (38, 8), (24, 21), (9, 27), (36, 7), (10, 21), (9, 17), (15, 19), (34, 20), (30, 15), (30, 14), (13, 21), (34, 6), (21, 6), (25, 14), (34, 28), (17, 9), (5, 11), (32, 9), (23, 26), (2, 2), (4, 22), (37, 1), (25, 23), (15, 0), (30, 23), (3, 14), (7, 8), (31, 11), (38, 9), (22, 20), (19, 10), (11, 15), (0, 7), (31, 8), (5, 24), (7, 28), (2, 4), (14, 27), (14, 30), (35, 2), (27, 7), (18, 14), (31, 6), (10, 2), (19, 28), (8, 1), (20, 8), (37, 9), (33, 28), (27, 14), (0, 29), (15, 13), (11, 31), (18, 28), (9, 31), (0, 10), (20, 26), (1, 18), (35, 22), (8, 24), (27, 24), (16, 14), (4, 29), (12, 12), (3, 28), (1, 22), (12, 31), (14, 5), (5, 26), (37, 7), (31, 22), (4, 28), (4, 20), (17, 22), (21, 30), (20, 16), (19, 23), (25, 16), (15, 20), (29, 19), (13, 0), (24, 6), (6, 6), (27, 4), (11, 26), (4, 6), (2, 8), (22, 25), (12, 17), (5, 10), (17, 3), (34, 29), (30, 0), (35, 31), (15, 28), (37, 0), (5, 0), (25, 3), (25, 1), (30, 2), (17, 4), (29, 24), (10, 11), (11, 14), (1, 31), (17, 13), (2, 9), (2, 31), (16, 27), (33, 13), (38, 30), (17, 19), (10, 10), (17, 23), (28, 24), (3, 29), (19, 0), (17, 21), (25, 30), (10, 4), (8, 16), (22, 8), (8, 25), (26, 21), (37, 28), (3, 19), (38, 21), (1, 16), (1, 30), (33, 2), (30, 3), (37, 22), (31, 1), (8, 7), (26, 6), (15, 24), (11, 27), (24, 13), (0, 6), (29, 17), (1, 0), (37, 19), (8, 21), (14, 15), (19, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 25), (28, 0), (25, 11), (22, 28), (6, 30), (23, 3), (0, 23), (20, 3), (11, 24), (8, 22), (31, 22), (13, 23), (13, 8), (24, 4), (27, 6), (29, 7), (8, 27), (18, 16), (6, 0), (28, 28), (19, 21), (6, 27), (6, 17), (2, 5), (0, 10), (27, 12), (6, 25), (24, 23), (27, 3), (25, 19), (22, 0), (10, 27), (21, 7), (12, 19), (14, 3), (31, 21), (3, 9), (11, 1), (4, 7), (24, 6), (25, 24), (21, 15), (14, 6), (23, 13), (25, 22), (10, 25), (15, 29), (3, 26), (7, 20), (15, 0), (12, 29), (16, 12), (29, 5), (27, 2), (15, 14), (5, 18), (18, 5), (21, 11), (12, 22), (27, 5), (17, 4), (31, 24), (19, 2), (13, 30), (22, 25), (11, 2), (25, 0), (8, 0), (12, 1), (21, 16), (4, 5), (29, 26), (6, 29), (22, 10), (19, 5), (9, 19), (2, 23), (22, 3), (24, 18), (15, 16), (18, 29), (19, 27), (25, 15), (18, 11), (26, 6), (17, 19), (31, 4), (22, 17), (24, 24), (30, 26), (6, 7), (4, 28), (16, 15), (29, 8), (31, 15), (0, 12), (16, 9), (4, 26), (7, 21), (20, 18), (8, 26), (4, 6), (19, 17), (0, 11), (17, 14), (7, 4), (26, 17), (13, 25), (9, 7), (26, 19), (9, 15), (12, 5), (20, 22), (17, 24), (20, 27), (18, 22), (9, 13), (2, 28), (7, 15), (25, 1), (29, 27), (26, 26), (7, 6), (14, 7), (24, 3), (19, 13), (29, 0), (23, 1), (21, 18), (15, 17), (6, 18), (26, 22), (0, 5), (30, 8), (16, 14), (23, 30), (17, 25), (22, 9), (27, 4), (19, 19), (21, 2), (16, 0), (21, 4), (13, 0), (23, 23), (0, 17), (4, 18), (31, 20), (20, 16), (22, 8), (23, 5), (14, 18), (2, 10), (29, 18), (14, 27), (29, 4), (24, 20), (3, 23), (20, 28), (3, 18), (16, 17), (4, 25), (22, 23), (24, 5), (24, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 14), (29, 21), (16, 29), (30, 1), (29, 14), (5, 29), (32, 1), (15, 10), (0, 11), (7, 28), (34, 25), (23, 17), (33, 19), (12, 8), (10, 1), (12, 14), (13, 3), (9, 29), (18, 0), (31, 24), (15, 2), (4, 30), (31, 19), (15, 16), (30, 25), (4, 26), (27, 28), (32, 0), (9, 15), (2, 10), (23, 10), (29, 2), (6, 18), (21, 29), (29, 22), (21, 12), (18, 12), (30, 20), (14, 7), (26, 24), (33, 23), (32, 5), (15, 20), (36, 19), (11, 9), (36, 6), (9, 2), (21, 0), (23, 19), (8, 8), (0, 18), (16, 9), (30, 30), (31, 2), (4, 21), (6, 17), (10, 13), (31, 10), (30, 24), (13, 26), (22, 24), (5, 3), (32, 18), (8, 14), (36, 5), (29, 30), (31, 28), (4, 27), (1, 11), (21, 27), (22, 23), (16, 22), (8, 12), (1, 2), (29, 11), (7, 30), (20, 14), (35, 15), (31, 22), (6, 4), (11, 27), (33, 27), (7, 18), (3, 4), (14, 2), (35, 3), (5, 19), (33, 7), (0, 1), (18, 1), (2, 16), (2, 24), (3, 1), (1, 9), (3, 27), (2, 4), (3, 6), (26, 29), (31, 30), (12, 5), (17, 13), (8, 18), (35, 22), (33, 10), (30, 3), (0, 21), (10, 7), (34, 17), (27, 24), (13, 15), (7, 16), (31, 1), (35, 4), (13, 17), (35, 24), (20, 25), (18, 11), (21, 9), (1, 15), (0, 27), (4, 0), (32, 6), (35, 16), (32, 22), (20, 28), (12, 17), (2, 21), (33, 1), (32, 12), (1, 12), (25, 15), (7, 22), (8, 2), (35, 21), (20, 23), (29, 28), (14, 28), (30, 16), (6, 12), (16, 1), (0, 8), (28, 3), (7, 12), (18, 21), (19, 29), (35, 1), (33, 9), (8, 17), (4, 5), (24, 0), (22, 12), (5, 28), (15, 0), (17, 1), (0, 13), (16, 0), (13, 2), (4, 11), (5, 4), (1, 22), (3, 9), (15, 4), (3, 28), (22, 27), (2, 13), (14, 24), (34, 29), (16, 20), (31, 3), (15, 3), (14, 13), (19, 6), (14, 30), (32, 11), (19, 0), (17, 5), (8, 13), (9, 8), (13, 19), (18, 19), (18, 3), (7, 25), (33, 13), (34, 11), (22, 15), (11, 22), (31, 21), (2, 11), (34, 8), (25, 23), (2, 12), (14, 16), (29, 29), (23, 11), (21, 13), (35, 8), (18, 20), (14, 6), (32, 9), (12, 26), (26, 15), (9, 5), (0, 22), (3, 25), (22, 8), (1, 25), (19, 26), (2, 6), (12, 24), (5, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 4), (18, 3), (28, 21), (27, 19), (5, 0), (25, 7), (30, 8), (9, 11), (15, 30), (22, 14), (14, 20), (13, 16), (36, 0), (17, 12), (34, 17), (20, 13), (10, 10), (37, 0), (33, 25), (31, 13), (13, 9), (0, 16), (19, 10), (11, 18), (20, 6), (12, 4), (23, 14), (28, 15), (4, 21), (13, 25), (9, 0), (37, 11), (29, 14), (37, 30), (37, 18), (21, 3), (28, 25), (9, 2), (0, 23), (16, 15), (36, 9), (9, 20), (27, 17), (16, 22), (21, 6), (7, 10), (20, 11), (36, 12), (12, 10), (18, 7), (28, 28), (3, 1), (3, 7), (15, 23), (30, 17), (12, 25), (27, 15), (7, 12), (38, 2), (33, 14), (13, 8), (31, 4), (2, 27), (23, 2), (25, 19), (32, 30), (22, 31), (20, 20), (24, 4), (9, 16), (29, 1), (13, 0), (10, 6), (4, 18), (7, 3), (8, 1), (1, 24), (7, 15), (34, 24), (5, 19), (24, 15), (13, 27), (29, 23), (19, 28), (11, 30), (34, 11), (35, 20), (16, 25), (15, 14), (6, 9), (28, 27), (4, 8), (12, 7), (4, 13), (23, 27), (6, 27), (15, 9), (24, 6), (8, 5), (5, 26), (20, 4), (0, 7), (26, 27), (33, 30), (20, 19), (30, 1), (32, 21), (8, 19), (15, 13), (30, 20), (0, 20), (1, 22), (30, 10), (8, 14), (0, 26), (13, 7), (10, 17), (10, 27), (16, 6), (30, 19), (20, 29), (35, 2), (14, 19), (12, 15), (26, 11), (15, 24), (28, 31), (8, 31), (8, 9), (25, 30), (3, 22), (5, 20), (4, 19), (15, 17), (35, 4), (1, 6), (7, 5), (1, 13), (29, 30), (28, 18), (0, 28), (10, 4), (35, 0), (9, 25), (4, 17), (9, 19), (26, 22), (2, 4), (18, 25), (1, 27), (33, 15), (10, 23), (15, 18), (0, 2), (31, 12), (15, 7), (0, 31), (2, 25), (2, 22), (2, 28), (17, 14), (32, 22), (31, 26), (30, 3), (20, 18), (17, 26), (20, 25), (11, 19), (30, 7), (15, 12), (37, 19), (38, 5), (20, 23), (8, 12), (4, 3), (21, 20), (31, 23), (19, 6), (25, 6), (18, 22), (5, 8), (13, 21), (1, 3), (6, 20), (12, 22), (21, 2), (27, 4), (6, 3), (24, 2), (4, 27), (23, 0), (12, 11), (5, 5), (34, 4), (1, 31), (38, 30), (35, 1), (29, 19), (24, 11), (24, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 30x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 2), (15, 20), (1, 27), (20, 24), (14, 1), (20, 10), (7, 16), (27, 32), (27, 16), (6, 24), (18, 9), (25, 27), (3, 35), (5, 6), (16, 6), (6, 19), (12, 2), (17, 24), (23, 28), (18, 25), (13, 30), (10, 12), (22, 21), (16, 12), (24, 4), (22, 2), (26, 29), (18, 4), (24, 8), (19, 4), (19, 1), (4, 21), (23, 21), (10, 14), (25, 0), (8, 14), (9, 18), (19, 35), (18, 30), (17, 20), (15, 36), (23, 3), (7, 24), (16, 32), (1, 8), (24, 36), (14, 26), (11, 16), (11, 4), (27, 30), (24, 16), (12, 30), (8, 19), (13, 7), (0, 5), (15, 9), (13, 29), (21, 4), (3, 17), (18, 11), (6, 9), (8, 9), (16, 31), (18, 26), (8, 4), (13, 26), (7, 5), (3, 24), (17, 9), (13, 22), (4, 17), (27, 26), (23, 8), (4, 8), (24, 0), (21, 18), (22, 31), (21, 1), (16, 22), (20, 6), (17, 28), (17, 7), (27, 9), (5, 11), (4, 10), (8, 24), (7, 13), (24, 14), (5, 29), (22, 28), (24, 24), (17, 27), (11, 31), (12, 13), (15, 21), (14, 20), (25, 20), (4, 34), (10, 31), (8, 10), (28, 30), (5, 3), (20, 16), (27, 8), (18, 15), (20, 14), (24, 29), (23, 19), (16, 36), (2, 36), (12, 23), (10, 21), (1, 20), (9, 8), (12, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 39x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 14), (27, 33), (32, 1), (10, 35), (20, 12), (6, 31), (14, 34), (18, 16), (31, 36), (2, 2), (3, 13), (11, 15), (37, 12), (5, 1), (38, 0), (38, 20), (10, 0), (19, 36), (30, 8), (16, 25), (21, 17), (10, 3), (16, 27), (4, 17), (34, 20), (21, 13), (25, 9), (19, 12), (18, 32), (18, 27), (36, 3), (21, 31), (17, 28), (19, 37), (18, 34), (8, 32), (15, 32), (15, 10), (17, 36), (7, 36), (35, 0), (30, 23), (31, 26), (24, 9), (38, 30), (22, 29), (35, 15), (6, 10), (0, 13), (4, 9), (36, 4), (10, 8), (8, 37), (1, 22), (29, 29), (11, 8), (32, 36), (7, 28), (36, 17), (25, 19), (17, 37), (37, 29), (28, 3), (0, 16), (34, 34), (21, 34), (3, 31), (24, 34), (14, 33), (0, 25), (10, 21), (14, 32), (10, 26), (13, 28), (12, 5), (36, 1), (1, 14), (3, 18), (31, 19), (9, 7), (9, 21), (38, 17), (34, 18), (5, 21), (23, 21), (20, 15), (35, 11), (1, 36), (17, 6), (1, 37), (33, 4), (24, 32), (20, 17), (30, 16), (23, 35), (1, 27), (34, 2), (37, 7), (21, 20), (4, 16), (15, 33), (11, 23), (31, 3), (28, 32), (15, 14), (23, 19), (35, 20), (19, 7), (6, 14), (27, 20), (28, 25), (11, 1), (22, 37), (2, 34), (13, 18), (31, 38), (30, 17), (37, 21), (23, 28), (30, 5), (7, 5), (6, 23), (13, 11), (10, 9), (27, 37), (16, 38), (11, 10), (21, 24), (22, 3), (22, 15), (16, 23), (32, 11), (19, 31), (8, 10), (35, 21), (29, 11), (9, 8), (36, 29), (38, 19), (7, 23), (20, 35), (13, 2), (15, 4), (9, 25), (38, 25), (10, 36), (23, 22), (4, 33), (12, 31), (4, 38), (10, 5), (30, 33), (5, 0), (1, 1), (1, 24), (31, 10), (22, 21), (14, 11), (25, 1), (15, 20), (19, 22), (27, 27), (10, 13), (31, 25), (19, 19), (34, 7), (33, 22), (26, 30), (24, 28), (38, 29), (1, 28), (25, 4), (13, 4), (28, 24), (19, 1), (22, 16), (33, 9), (34, 19), (33, 31), (5, 33), (5, 3), (0, 14), (17, 35), (33, 35), (2, 33), (28, 15), (12, 9), (29, 5), (29, 9), (30, 37), (20, 18), (36, 33), (26, 23), (20, 34), (36, 0), (1, 5), (7, 11), (24, 20), (15, 26), (0, 26), (2, 28), (13, 12), (2, 11), (34, 1), (28, 22), (1, 20), (37, 31), (18, 1), (6, 18), (5, 20), (5, 16), (3, 33), (20, 27), (37, 34), (0, 28), (5, 5), (8, 24), (28, 4), (22, 31), (38, 24), (6, 22), (12, 21), (0, 6), (0, 21), (18, 28), (10, 34), (28, 21), (14, 27), (16, 22), (20, 6), (10, 4), (10, 7), (35, 37), (24, 37), (29, 2), (19, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 26), (32, 25), (1, 25), (33, 13), (33, 0), (2, 19), (9, 23), (12, 11), (27, 3), (21, 4), (29, 25), (29, 5), (35, 4), (31, 23), (23, 24), (35, 30), (8, 12), (9, 31), (28, 28), (23, 0), (28, 32), (23, 26), (8, 26), (33, 18), (6, 20), (26, 4), (11, 24), (21, 1), (29, 16), (7, 0), (31, 19), (22, 17), (11, 8), (17, 5), (1, 6), (17, 6), (31, 7), (26, 15), (4, 19), (13, 31), (8, 1), (5, 2), (2, 31), (16, 9), (18, 17), (15, 1), (32, 14), (35, 29), (0, 12), (4, 20), (6, 9), (30, 29), (30, 22), (34, 16), (33, 25), (16, 14), (13, 14), (20, 26), (11, 6), (1, 7), (28, 21), (19, 14), (14, 35), (25, 4), (18, 29), (31, 32), (30, 17), (13, 33), (24, 1), (2, 35), (0, 19), (1, 18), (15, 4), (4, 12), (4, 24), (33, 21), (15, 22), (20, 4), (19, 22), (24, 34), (25, 15), (5, 0), (23, 33), (0, 28), (34, 3), (22, 1), (0, 7), (6, 6), (9, 12), (17, 34), (35, 13), (18, 13), (7, 4), (25, 35), (6, 21), (30, 23), (35, 28), (31, 2), (34, 22), (11, 29), (27, 9), (25, 8), (9, 22), (14, 10), (2, 32), (1, 31), (30, 3), (5, 20), (34, 4), (26, 23), (19, 9), (0, 11), (23, 32), (15, 29), (34, 27), (0, 5), (10, 19), (9, 10), (35, 7), (8, 18), (27, 35), (6, 27), (3, 6), (23, 16), (34, 26), (33, 4), (23, 29), (16, 31), (19, 17), (13, 7), (3, 21), (31, 0), (0, 24), (7, 6), (26, 35), (1, 27), (32, 0), (12, 17), (16, 34), (10, 33), (12, 13), (29, 24), (5, 29), (22, 32), (29, 6), (22, 9), (8, 29), (25, 20), (9, 20), (34, 28), (9, 17), (28, 6), (5, 9), (9, 9), (23, 20), (10, 29), (21, 27), (26, 3), (3, 22), (12, 2), (35, 22), (9, 24), (23, 7), (17, 33), (17, 10), (26, 0), (35, 10), (21, 23), (10, 11), (10, 0), (9, 26), (11, 26), (13, 5), (9, 28), (32, 17), (22, 26), (24, 30), (26, 27), (14, 32), (26, 22), (12, 3), (20, 32), (25, 23), (0, 8), (18, 25), (20, 34), (35, 24), (20, 1), (24, 15), (33, 28), (14, 11), (2, 6), (8, 2), (3, 26), (7, 25), (9, 8), (13, 9), (6, 13), (8, 7), (15, 13), (12, 29), (1, 23), (31, 15), (6, 7), (30, 2), (9, 6), (12, 32), (31, 22), (6, 1), (13, 30), (12, 10), (12, 22), (26, 17), (10, 4), (26, 34), (18, 8), (17, 1), (31, 11), (32, 12), (10, 14), (8, 8), (7, 10), (31, 4), (12, 9), (22, 20), (4, 17), (4, 33), (12, 23), (17, 9), (19, 28), (33, 7), (19, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 35), (33, 7), (1, 24), (6, 18), (14, 24), (1, 0), (10, 14), (22, 13), (31, 30), (24, 25), (20, 29), (24, 13), (6, 19), (30, 32), (2, 10), (16, 35), (5, 11), (31, 26), (31, 0), (33, 13), (32, 30), (28, 37), (31, 22), (26, 34), (23, 33), (3, 11), (8, 22), (20, 27), (27, 18), (31, 32), (33, 30), (12, 8), (22, 8), (21, 15), (29, 21), (3, 26), (18, 36), (5, 13), (5, 10), (18, 5), (2, 13), (13, 16), (0, 4), (3, 27), (9, 32), (9, 24), (32, 0), (18, 26), (24, 21), (31, 36), (0, 31), (15, 28), (31, 4), (23, 21), (26, 6), (9, 19), (4, 23), (7, 18), (26, 31), (29, 25), (31, 5), (3, 30), (21, 31), (2, 34), (5, 20), (3, 2), (15, 20), (14, 8), (6, 21), (10, 17), (4, 11), (27, 24), (13, 21), (15, 6), (4, 27), (31, 16), (12, 3), (7, 24), (34, 3), (1, 36), (19, 22), (33, 11), (24, 29), (11, 22), (31, 35), (7, 10), (28, 25), (14, 16), (27, 33), (5, 27), (22, 30), (0, 21), (3, 8), (5, 28), (29, 27), (20, 9), (1, 1), (32, 7), (31, 28), (10, 30), (17, 0), (11, 14), (31, 15), (12, 1), (4, 15), (19, 25), (15, 4), (27, 10), (20, 25), (11, 15), (0, 18), (16, 23), (24, 19), (11, 36), (15, 26), (0, 35), (4, 20), (9, 16), (27, 31), (7, 2), (16, 16), (4, 0), (17, 22), (10, 6), (12, 16), (33, 36), (34, 10), (32, 23), (27, 19), (13, 32), (22, 3), (5, 0), (16, 0), (2, 15), (14, 23), (19, 17), (24, 18), (22, 24), (21, 36), (34, 15), (1, 13), (9, 36), (14, 27), (10, 37), (11, 0), (25, 36), (29, 19), (20, 17), (24, 32), (15, 12), (24, 34), (23, 13), (1, 15), (32, 26), (33, 20), (3, 34), (13, 1), (13, 5), (6, 14), (21, 26), (23, 12), (18, 24), (0, 23), (10, 8), (28, 27), (9, 25), (26, 13), (28, 20), (4, 31), (23, 15), (3, 33), (34, 25), (26, 33), (25, 20), (34, 0), (2, 35), (27, 20), (19, 37), (12, 2), (2, 7), (32, 20), (25, 17), (33, 12), (31, 23), (31, 19), (12, 34), (23, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 24), (30, 16), (21, 24), (3, 0), (15, 4), (27, 2), (30, 23), (17, 30), (8, 18), (13, 29), (6, 33), (20, 2), (26, 29), (17, 7), (12, 15), (29, 35), (11, 2), (11, 20), (17, 16), (2, 24), (27, 17), (9, 16), (15, 12), (24, 28), (10, 15), (14, 19), (18, 22), (23, 28), (19, 6), (6, 30), (14, 14), (3, 34), (26, 12), (28, 14), (1, 29), (25, 16), (1, 19), (13, 35), (22, 32), (12, 12), (23, 7), (21, 0), (20, 14), (14, 5), (20, 6), (8, 19), (16, 27), (19, 7), (0, 28), (22, 24), (25, 12), (21, 26), (14, 8), (24, 21), (6, 27), (10, 7), (5, 19), (28, 10), (19, 31), (13, 4), (12, 26), (30, 2), (30, 30), (8, 8), (14, 11), (22, 23), (14, 32), (28, 6), (4, 17), (20, 23), (22, 2), (22, 8), (20, 32), (30, 25), (10, 24), (3, 33), (11, 29), (18, 15), (0, 2), (24, 10), (3, 18), (8, 3), (12, 27), (22, 28), (8, 22), (2, 29), (18, 35), (22, 18), (28, 23), (6, 24), (17, 23), (10, 9), (7, 31), (22, 31), (11, 30), (1, 1), (8, 1), (10, 16), (9, 21), (12, 33), (19, 2), (29, 20), (16, 20), (4, 8), (8, 11), (3, 13), (1, 26), (14, 33), (15, 13), (22, 15), (22, 13), (19, 9), (13, 15), (23, 32), (30, 10), (19, 8), (19, 23), (17, 12), (24, 31), (6, 23), (19, 27), (15, 22), (24, 23), (22, 14), (13, 24), (12, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 33), (32, 18), (9, 21), (8, 34), (12, 12), (27, 2), (24, 33), (11, 35), (34, 10), (32, 22), (14, 34), (8, 20), (35, 11), (6, 29), (23, 32), (5, 8), (25, 21), (30, 5), (35, 5), (35, 28), (32, 30), (6, 5), (28, 17), (9, 16), (0, 35), (17, 8), (11, 15), (4, 7), (23, 26), (0, 24), (9, 2), (28, 31), (16, 7), (31, 17), (14, 14), (0, 7), (4, 15), (29, 18), (15, 1), (23, 28), (18, 16), (18, 20), (16, 0), (12, 16), (18, 35), (31, 11), (12, 8), (33, 26), (8, 18), (23, 22), (13, 8), (9, 6), (9, 23), (2, 2), (20, 9), (34, 15), (33, 4), (10, 1), (25, 14), (25, 11), (6, 30), (5, 17), (22, 30), (26, 5), (16, 11), (21, 25), (2, 33), (29, 25), (19, 9), (5, 25), (30, 8), (28, 32), (8, 10), (31, 20), (22, 10), (5, 23), (9, 29), (34, 21), (18, 32), (21, 2), (26, 12), (19, 10), (13, 13), (5, 22), (32, 35), (10, 23), (28, 22), (33, 9), (29, 19), (5, 19), (22, 32), (2, 23), (14, 1), (19, 28), (5, 27), (16, 15), (7, 19), (11, 5), (28, 4), (28, 24), (14, 5), (5, 10), (18, 28), (32, 31), (20, 24), (2, 29), (26, 3), (30, 32), (29, 17), (32, 11), (13, 23), (17, 35), (12, 34), (13, 14), (22, 11), (22, 18), (27, 15), (8, 0), (3, 28), (14, 6), (18, 17), (27, 22), (16, 5), (25, 4), (20, 18), (24, 20), (13, 16), (5, 9), (10, 33), (27, 24), (33, 27), (20, 25), (19, 30), (31, 18), (32, 13), (26, 13), (24, 21), (33, 8), (22, 24), (20, 3), (31, 34), (2, 21), (32, 32), (35, 12), (3, 31), (31, 1), (31, 19), (14, 23), (25, 28), (35, 29), (10, 30), (24, 1), (33, 7), (15, 20), (4, 8), (8, 17), (3, 17), (11, 33), (19, 18), (10, 5), (31, 31)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 28), (16, 27), (23, 6), (14, 3), (10, 3), (14, 29), (0, 33), (17, 16), (4, 14), (20, 9), (10, 27), (10, 9), (2, 19), (18, 31), (5, 9), (18, 23), (33, 8), (12, 2), (27, 0), (26, 17), (0, 18), (29, 9), (25, 3), (13, 27), (4, 24), (13, 33), (13, 3), (30, 24), (12, 16), (16, 20), (10, 32), (29, 22), (1, 12), (9, 29), (21, 13), (0, 5), (14, 15), (6, 17), (17, 11), (10, 13), (24, 13), (4, 8), (17, 26), (12, 17), (19, 22), (6, 9), (7, 11), (2, 5), (27, 30), (13, 19), (23, 17), (20, 16), (25, 34), (9, 25), (11, 23), (2, 10), (10, 21), (10, 6), (21, 3), (26, 9), (24, 24), (32, 22), (31, 31), (22, 17), (15, 14), (12, 7), (0, 19), (2, 1), (32, 1), (17, 5), (17, 12), (11, 0), (3, 31), (3, 12), (28, 7), (14, 7), (0, 22), (18, 12), (3, 19), (5, 10), (14, 30), (26, 18), (9, 16), (19, 12), (28, 15), (31, 19), (15, 21), (18, 11), (0, 28), (26, 25), (30, 17), (30, 19), (27, 25), (3, 0), (23, 5), (33, 2), (21, 17), (13, 11), (28, 18), (1, 2), (4, 20), (30, 0), (1, 17), (8, 5), (7, 30), (8, 3), (18, 33), (22, 26), (0, 8), (4, 5), (16, 30), (16, 11), (13, 34), (28, 24), (5, 31), (10, 24), (18, 14), (19, 16), (11, 2), (5, 6), (22, 1), (5, 1), (0, 29), (4, 1), (31, 4), (19, 26), (21, 12), (17, 6), (4, 2), (25, 21), (22, 22), (21, 23), (30, 33), (29, 4), (7, 0), (30, 6), (33, 25), (11, 28), (18, 6), (6, 33), (1, 10), (6, 34), (3, 3), (26, 21), (15, 26), (8, 27), (14, 23), (18, 7), (7, 15), (2, 4), (19, 23), (9, 14), (16, 15), (12, 30), (1, 27), (17, 3), (15, 3), (2, 23), (8, 12), (16, 33), (30, 20), (30, 2), (3, 2), (10, 5), (25, 27), (17, 24), (17, 9), (8, 11), (23, 9), (1, 34), (29, 34), (8, 1), (27, 5), (29, 28), (19, 8), (1, 25), (33, 27), (26, 31), (28, 29), (28, 31), (6, 18), (31, 12), (15, 12), (25, 28), (12, 26), (19, 4), (23, 25), (26, 0), (22, 2), (9, 18), (31, 34), (32, 21), (25, 10), (18, 5), (11, 33), (3, 20), (16, 0), (5, 28), (3, 13), (31, 28), (10, 23), (12, 29), (23, 11), (32, 15), (26, 32), (10, 1), (11, 11), (16, 1), (0, 31), (17, 15), (18, 22), (7, 13), (6, 22), (23, 15), (15, 27), (6, 8), (6, 27), (24, 5), (29, 24), (32, 25), (19, 33), (6, 6), (13, 30), (8, 23), (0, 23), (0, 20), (23, 14), (16, 3), (8, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "15", "dataset": "MATH"}
{"messages": [{"content": "In a 36x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 15), (11, 24), (24, 24), (2, 13), (2, 29), (1, 1), (30, 10), (10, 22), (6, 13), (33, 20), (12, 20), (8, 10), (1, 2), (0, 18), (9, 13), (15, 9), (27, 17), (16, 29), (5, 21), (18, 18), (18, 22), (28, 16), (5, 28), (17, 3), (4, 12), (20, 21), (21, 15), (7, 5), (21, 10), (13, 14), (24, 26), (22, 13), (33, 8), (26, 11), (30, 12), (35, 17), (33, 6), (12, 6), (24, 11), (17, 7), (2, 25), (24, 19), (25, 16), (28, 13), (18, 15), (23, 23), (10, 11), (32, 4), (10, 7), (29, 15), (13, 12), (1, 8), (17, 4), (8, 17), (11, 4), (20, 22), (12, 18), (0, 7), (20, 12), (10, 28), (23, 9), (15, 29), (29, 28), (7, 17), (4, 22), (28, 0), (32, 22), (20, 11), (20, 14), (18, 3), (23, 11), (28, 22), (16, 6), (28, 11), (27, 0), (19, 2), (19, 21), (12, 10), (21, 22), (9, 9), (6, 9), (27, 9), (27, 20), (0, 6), (6, 17), (15, 22), (11, 17), (3, 18), (5, 18), (21, 6), (20, 23), (1, 23), (6, 16), (25, 18), (24, 14), (30, 27), (0, 23), (28, 9), (0, 8), (30, 20), (16, 5), (0, 9), (22, 21), (35, 8), (17, 19), (17, 15), (14, 7), (11, 2), (18, 8), (25, 26), (20, 28), (5, 20), (16, 9), (35, 28), (20, 27), (25, 7), (20, 8), (16, 17), (32, 12), (14, 25), (21, 27), (20, 15), (4, 0), (19, 29), (7, 15), (32, 8), (27, 28), (33, 23), (2, 0), (5, 27), (33, 14), (10, 4), (16, 12), (24, 8), (7, 0), (6, 26), (31, 5), (11, 25), (19, 25), (8, 1), (28, 19), (7, 3), (27, 4), (28, 17), (24, 22), (22, 0), (9, 15), (18, 0), (4, 3), (6, 20), (12, 8), (31, 23), (23, 20), (11, 12), (19, 15), (20, 13), (6, 18), (6, 10), (4, 13), (35, 14), (29, 20), (20, 10), (3, 13), (6, 5), (7, 14), (17, 13), (28, 12), (14, 15), (20, 29), (5, 24), (8, 3), (15, 7), (23, 4), (33, 1), (9, 4), (20, 17), (27, 13), (14, 23), (2, 6), (10, 16), (31, 0), (15, 25), (13, 17), (18, 4), (11, 16), (21, 1), (3, 4), (1, 14), (30, 7), (15, 28), (13, 29), (25, 20), (23, 29), (13, 18), (10, 21), (22, 15), (13, 7), (21, 14), (13, 5), (30, 6), (8, 21), (16, 20), (0, 12), (23, 1), (8, 12), (3, 12), (7, 16), (20, 5), (30, 19), (7, 18), (15, 1), (18, 10), (1, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 33x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 27), (14, 13), (20, 31), (5, 10), (21, 15), (28, 19), (22, 6), (15, 1), (15, 16), (4, 15), (16, 21), (11, 4), (4, 25), (7, 38), (32, 31), (19, 7), (27, 35), (15, 6), (2, 0), (13, 9), (2, 4), (7, 32), (0, 18), (15, 24), (11, 26), (7, 9), (17, 19), (24, 28), (7, 3), (12, 25), (16, 12), (26, 26), (26, 2), (11, 10), (15, 4), (6, 37), (12, 0), (10, 0), (9, 9), (32, 12), (2, 19), (14, 32), (9, 30), (17, 12), (16, 28), (19, 12), (27, 1), (23, 8), (24, 5), (15, 23), (22, 17), (27, 17), (30, 7), (21, 11), (11, 13), (11, 9), (10, 30), (26, 34), (15, 13), (4, 8), (26, 19), (22, 18), (1, 33), (24, 27), (8, 24), (15, 33), (3, 29), (17, 18), (22, 21), (4, 10), (27, 24), (19, 30), (22, 28), (14, 0), (20, 20), (6, 11), (26, 1), (11, 36), (0, 32), (2, 38), (5, 38), (2, 29), (27, 37), (26, 14), (12, 24), (4, 33), (18, 36), (30, 28), (14, 5), (3, 21), (26, 32), (21, 30), (8, 37), (4, 9), (13, 0), (30, 19), (18, 25), (24, 9), (7, 1), (19, 29), (8, 33), (30, 1), (25, 8), (21, 12), (15, 18), (15, 35), (6, 31), (18, 30), (19, 4), (19, 36), (25, 15), (19, 6), (11, 14), (16, 0), (10, 20), (2, 7), (22, 23), (30, 37), (22, 33), (31, 32), (9, 18), (18, 7), (18, 27), (17, 38), (11, 6), (16, 13), (24, 1), (17, 33), (24, 17), (30, 0), (16, 30), (26, 4), (0, 23), (7, 15), (5, 2), (30, 8), (7, 5), (23, 0), (20, 24), (8, 7), (11, 20), (8, 35), (1, 26), (18, 33), (20, 33), (17, 25), (31, 27), (15, 20), (5, 9), (27, 27), (17, 29), (18, 3), (20, 18), (29, 25), (3, 10), (11, 32), (3, 31), (12, 16), (29, 30), (23, 9), (18, 4), (29, 12), (1, 0), (21, 35), (7, 34), (0, 16), (27, 2), (28, 11), (23, 14), (7, 18), (8, 11), (31, 1), (12, 23), (3, 35), (32, 20), (9, 12), (15, 19), (31, 13), (6, 3), (28, 28), (3, 13), (20, 8), (32, 30), (21, 23), (30, 20), (29, 17), (32, 22), (9, 19), (13, 20), (21, 0), (10, 32), (11, 3), (6, 36), (29, 0), (10, 37), (30, 10), (17, 36), (19, 1), (17, 10), (11, 2), (4, 36), (7, 4), (16, 1), (18, 11), (21, 18), (20, 17), (24, 4), (3, 30), (25, 30), (12, 14), (28, 24), (17, 8), (21, 26), (22, 9), (19, 18), (14, 2), (7, 8), (25, 3), (27, 31), (30, 6), (14, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 13), (4, 20), (23, 22), (29, 19), (5, 25), (24, 29), (29, 8), (25, 29), (26, 10), (36, 34), (7, 19), (13, 17), (25, 1), (30, 8), (3, 11), (4, 32), (6, 23), (31, 21), (29, 20), (36, 33), (36, 30), (27, 15), (11, 6), (24, 3), (4, 28), (27, 30), (17, 17), (29, 0), (36, 27), (13, 19), (23, 6), (32, 30), (25, 8), (3, 28), (10, 19), (6, 12), (25, 6), (28, 25), (16, 0), (24, 25), (0, 3), (18, 7), (19, 13), (3, 24), (37, 33), (26, 21), (32, 23), (20, 21), (13, 14), (20, 27), (4, 11), (0, 16), (4, 33), (36, 21), (33, 31), (1, 16), (21, 24), (23, 2), (12, 25), (13, 10), (31, 7), (37, 19), (0, 10), (35, 6), (26, 8), (37, 30), (11, 29), (4, 12), (9, 30), (37, 4), (27, 19), (28, 26), (30, 9), (2, 16), (17, 13), (15, 33), (6, 20), (2, 2), (23, 7), (12, 0), (9, 7), (30, 0), (18, 20), (14, 14), (2, 11), (22, 8), (15, 8), (3, 19), (13, 28), (11, 3), (33, 17), (1, 17), (12, 23), (15, 22), (23, 29), (20, 31), (34, 24), (38, 30), (8, 14), (6, 26), (16, 33), (11, 5), (6, 9), (10, 1), (20, 0), (18, 4), (35, 14), (13, 24), (12, 12), (38, 11), (11, 10), (23, 24), (34, 22), (2, 6), (10, 16), (18, 3), (10, 24), (29, 14), (15, 12), (18, 0), (35, 27), (25, 11), (34, 16), (23, 21), (15, 15), (33, 16), (31, 10), (37, 6), (0, 33), (28, 27), (13, 9), (4, 0), (2, 27), (31, 13), (22, 28), (18, 32), (27, 3), (8, 8), (21, 1), (3, 26), (20, 14), (3, 6), (4, 19), (38, 4), (36, 9), (15, 28), (8, 1), (34, 6), (17, 14), (22, 9), (16, 3), (1, 3), (21, 10), (2, 34), (12, 24), (19, 29), (9, 16), (35, 25), (12, 2), (27, 27), (30, 32), (32, 13), (13, 30), (16, 18), (9, 31), (7, 29), (2, 20), (16, 34), (8, 5), (2, 31), (3, 4), (34, 23), (14, 11), (6, 10), (17, 24), (21, 18), (0, 30), (10, 6), (0, 1), (36, 7), (17, 3), (27, 6), (22, 15), (8, 21), (37, 3), (11, 1), (37, 17), (36, 6), (32, 26), (38, 28), (38, 1), (0, 12), (17, 15), (18, 1), (33, 23), (32, 12), (34, 3), (33, 4), (31, 11), (23, 28), (20, 33), (37, 23), (36, 32), (24, 10), (23, 26), (11, 11), (36, 10), (30, 24), (31, 3), (36, 4), (5, 17), (35, 19), (6, 17), (21, 25), (31, 33), (24, 14), (25, 23), (6, 4), (25, 21), (34, 20), (32, 2), (23, 3), (9, 22), (24, 26), (29, 18), (23, 8), (23, 1), (27, 13), (29, 11), (10, 34), (19, 18), (32, 6), (16, 6), (12, 21), (21, 27), (6, 33), (2, 0), (29, 10), (1, 25), (15, 0), (3, 10), (14, 1), (8, 19), (10, 10), (28, 22), (33, 18), (5, 27), (13, 25), (23, 4), (13, 12), (1, 13), (33, 0), (16, 27), (32, 16), (21, 34), (32, 1), (25, 14), (29, 33), (1, 9), (11, 28), (0, 14), (37, 8), (28, 7), (25, 33), (0, 29), (13, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "In a 36x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 17), (16, 27), (30, 21), (13, 8), (17, 29), (7, 20), (16, 14), (21, 23), (3, 6), (8, 19), (8, 13), (25, 19), (23, 19), (19, 19), (2, 5), (31, 16), (1, 20), (27, 3), (0, 1), (9, 25), (11, 4), (0, 22), (35, 20), (8, 12), (0, 29), (33, 6), (33, 18), (7, 19), (10, 2), (9, 27), (32, 24), (6, 13), (26, 0), (25, 7), (10, 23), (18, 12), (15, 16), (28, 26), (25, 15), (34, 6), (5, 19), (11, 22), (18, 9), (23, 25), (4, 7), (27, 25), (3, 8), (12, 20), (16, 23), (22, 4), (29, 23), (1, 14), (34, 20), (14, 26), (13, 6), (4, 27), (32, 2), (6, 10), (10, 17), (13, 11), (23, 28), (9, 13), (18, 21), (21, 29), (28, 0), (11, 24), (25, 6), (22, 9), (23, 16), (7, 29), (30, 16), (19, 16), (26, 15), (11, 28), (17, 6), (34, 12), (15, 18), (27, 27), (30, 13), (10, 28), (11, 8), (11, 12), (29, 8), (30, 0), (1, 23), (12, 25), (10, 15), (28, 19), (32, 3), (27, 24), (17, 23), (29, 9), (12, 1), (20, 0), (9, 1), (6, 2), (13, 0), (18, 25), (11, 15), (10, 1), (5, 17), (5, 21), (33, 23), (0, 28), (31, 14), (7, 16), (27, 21), (20, 20), (24, 9), (6, 29), (13, 17), (32, 4), (33, 15), (31, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 32x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 19), (18, 8), (20, 15), (0, 3), (20, 20), (4, 9), (22, 4), (31, 6), (24, 27), (12, 12), (4, 27), (9, 7), (26, 2), (25, 29), (25, 15), (6, 3), (18, 15), (18, 28), (28, 5), (9, 8), (6, 0), (17, 2), (18, 25), (1, 9), (23, 21), (5, 30), (22, 12), (7, 30), (14, 7), (5, 27), (6, 23), (8, 20), (3, 18), (30, 7), (18, 12), (27, 16), (5, 10), (11, 17), (5, 19), (20, 4), (7, 14), (25, 1), (10, 10), (12, 28), (8, 24), (18, 2), (13, 10), (5, 3), (11, 13), (28, 9), (17, 6), (16, 29), (18, 17), (13, 9), (16, 21), (5, 7), (8, 15), (7, 15), (28, 16), (30, 13), (19, 15), (6, 10), (5, 26), (28, 12), (16, 23), (6, 24), (27, 31), (14, 31), (20, 22), (2, 1), (28, 24), (7, 6), (21, 25), (15, 28), (18, 14), (8, 5), (19, 9), (13, 22), (8, 7), (14, 16), (28, 13), (25, 18), (17, 12), (4, 30), (13, 6), (18, 0), (17, 26), (31, 9), (21, 10), (2, 2), (17, 28), (3, 7), (23, 22), (17, 21), (2, 18), (24, 0), (10, 2), (1, 24), (10, 30), (17, 24), (27, 28), (27, 8), (13, 0), (4, 14), (27, 27), (21, 19), (20, 5), (24, 3), (3, 3), (11, 5), (20, 27), (8, 23), (4, 12), (11, 3), (11, 16), (24, 13), (7, 24), (3, 5), (7, 10), (7, 11), (8, 25), (7, 17), (1, 7), (27, 2), (1, 26), (12, 0), (28, 28), (7, 22), (22, 21), (15, 5), (21, 3), (19, 24), (15, 20), (15, 11), (23, 18), (21, 30), (3, 6), (13, 24), (3, 21), (18, 18), (19, 23), (24, 16), (17, 23), (28, 25), (17, 5), (12, 22), (31, 26), (18, 30), (11, 25), (30, 24), (5, 1), (3, 4), (1, 14), (29, 18), (14, 9), (21, 15), (4, 19), (2, 17), (21, 1), (8, 12), (31, 27), (22, 30), (2, 6), (3, 17), (28, 4), (29, 6), (31, 7), (7, 26), (24, 2), (19, 21), (10, 18), (25, 19), (24, 6), (6, 18), (18, 31), (5, 31), (21, 4), (1, 17), (7, 4), (12, 21), (19, 0), (5, 8), (21, 17), (10, 21), (5, 9), (14, 8), (18, 16), (28, 15), (0, 31), (22, 7), (16, 20), (22, 1), (10, 26), (1, 5), (22, 11), (9, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 32x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 13), (22, 29), (27, 28), (3, 18), (15, 24), (22, 19), (17, 29), (29, 7), (13, 31), (0, 16), (16, 12), (20, 14), (11, 5), (12, 23), (22, 17), (20, 4), (21, 2), (11, 29), (24, 15), (29, 0), (16, 29), (20, 20), (10, 3), (0, 26), (14, 20), (18, 1), (26, 15), (11, 8), (29, 14), (4, 0), (28, 27), (19, 31), (0, 30), (30, 0), (4, 13), (3, 31), (8, 7), (2, 28), (21, 21), (26, 17), (8, 0), (2, 2), (12, 18), (7, 8), (7, 24), (10, 16), (21, 22), (7, 29), (5, 29), (5, 30), (27, 0), (2, 31), (31, 5), (15, 25), (24, 26), (13, 16), (4, 9), (31, 25), (14, 30), (25, 25), (29, 21), (13, 8), (4, 12), (6, 21), (8, 22), (7, 11), (19, 10), (2, 12), (10, 2), (13, 14), (25, 4), (15, 4), (11, 10), (14, 7), (14, 13), (14, 24), (18, 22), (11, 9), (9, 12), (27, 13), (20, 21), (15, 1), (15, 17), (21, 23), (9, 19), (25, 19), (27, 4), (13, 13), (7, 30), (10, 6), (25, 28), (16, 28), (23, 13), (28, 30), (17, 6), (22, 0), (25, 5), (15, 10), (5, 9), (16, 22), (18, 24), (14, 10), (23, 14), (24, 27), (15, 2), (15, 29), (28, 3), (5, 25), (25, 3), (12, 14), (28, 11), (5, 16), (8, 23), (27, 21), (3, 9), (27, 15), (21, 0), (7, 22), (30, 13), (27, 16), (20, 8), (23, 24), (7, 14), (15, 20), (22, 11), (25, 31), (23, 30), (2, 30), (15, 30), (8, 17), (11, 30), (23, 31), (2, 0), (10, 20), (20, 1), (30, 22), (20, 11), (3, 7), (26, 7), (30, 1), (15, 12), (12, 25), (7, 16), (9, 24), (6, 20), (29, 29), (8, 28), (1, 16), (17, 30), (25, 15), (7, 25), (14, 14), (4, 17), (0, 10), (9, 6), (27, 1), (1, 24), (22, 20), (14, 17), (17, 28), (1, 13), (21, 31), (12, 26), (20, 15), (10, 12), (30, 11), (18, 26), (31, 7), (21, 10), (2, 16), (24, 31), (27, 20), (25, 29), (25, 26), (26, 14), (6, 6), (17, 19), (24, 5), (31, 18), (4, 27), (4, 7), (29, 23), (8, 25), (26, 4), (7, 27), (1, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 22), (25, 4), (21, 30), (10, 0), (7, 31), (18, 2), (4, 32), (21, 19), (1, 24), (10, 23), (11, 14), (28, 2), (23, 16), (9, 1), (4, 27), (28, 25), (10, 26), (22, 16), (23, 18), (14, 7), (16, 9), (27, 19), (0, 13), (28, 23), (0, 14), (23, 5), (17, 9), (26, 29), (7, 7), (26, 5), (19, 21), (26, 28), (29, 25), (3, 31), (19, 0), (24, 30), (16, 7), (20, 19), (20, 2), (23, 26), (6, 16), (2, 24), (24, 5), (27, 30), (27, 23), (8, 26), (9, 7), (20, 27), (24, 18), (24, 3), (7, 10), (12, 4), (19, 9), (6, 25), (8, 8), (21, 6), (3, 3), (22, 24), (27, 6), (28, 21), (16, 30), (20, 33), (27, 12), (15, 2), (24, 26), (27, 32), (1, 11), (5, 15), (22, 5), (29, 24), (7, 21), (21, 16), (13, 29), (17, 33), (28, 15), (18, 32), (18, 7), (7, 27), (17, 14), (20, 26), (7, 30), (9, 3), (24, 21), (27, 3), (9, 2), (16, 23), (12, 26), (15, 6), (5, 23), (25, 19), (25, 32), (11, 23), (19, 3), (12, 22), (21, 2), (0, 29), (10, 27), (4, 21), (9, 30), (14, 10), (18, 29), (8, 4), (7, 12), (24, 17), (26, 26), (18, 9), (24, 23), (7, 3), (3, 16), (1, 22), (26, 33), (14, 21), (23, 23), (26, 30), (8, 7), (24, 15), (27, 2), (6, 27), (12, 27), (17, 16), (23, 30), (3, 33), (22, 18), (10, 17), (22, 29), (14, 3), (1, 3), (15, 27), (26, 21), (6, 31), (24, 32), (6, 5), (11, 8), (29, 9), (0, 18), (19, 23), (12, 14), (16, 33), (8, 29), (3, 30), (20, 14), (12, 9), (14, 17), (27, 29), (0, 32), (10, 30), (5, 11), (4, 12), (17, 19), (17, 27), (22, 13), (26, 7), (6, 29), (24, 12), (10, 2), (15, 30), (28, 33), (3, 7), (16, 15), (7, 32), (15, 4), (24, 20), (11, 22), (4, 19), (11, 17), (22, 25), (1, 21), (27, 22), (5, 32), (0, 30), (17, 30), (29, 0), (6, 33), (18, 18), (4, 24), (0, 23), (29, 14), (2, 16), (9, 19), (27, 0), (27, 5), (18, 15), (3, 32), (8, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 19), (19, 29), (3, 29), (4, 23), (28, 34), (0, 14), (27, 29), (26, 31), (5, 28), (28, 28), (30, 3), (24, 7), (7, 5), (22, 17), (17, 6), (4, 3), (12, 9), (4, 10), (8, 8), (15, 0), (13, 14), (0, 15), (19, 24), (12, 8), (16, 23), (14, 17), (21, 10), (20, 12), (13, 7), (1, 6), (30, 13), (11, 22), (10, 11), (4, 21), (17, 25), (9, 15), (10, 32), (28, 17), (30, 14), (27, 16), (4, 34), (28, 11), (3, 16), (16, 33), (12, 23), (30, 28), (0, 30), (26, 23), (27, 1), (8, 33), (26, 13), (2, 5), (3, 21), (23, 27), (17, 0), (13, 12), (27, 14), (20, 4), (21, 16), (23, 6), (20, 16), (18, 23), (12, 24), (29, 34), (18, 6), (11, 19), (7, 24), (1, 18), (25, 28), (11, 25), (8, 28), (19, 3), (21, 15), (8, 23), (7, 7), (9, 20), (20, 22), (25, 22), (22, 24), (1, 1), (10, 16), (23, 15), (12, 1), (14, 32), (17, 2), (22, 22), (4, 20), (10, 24), (7, 23), (12, 17), (0, 33), (27, 26), (18, 27), (26, 8), (13, 22), (15, 6), (3, 34), (24, 24), (12, 7), (25, 10), (15, 17), (4, 26), (23, 8), (24, 16), (25, 14), (29, 12), (23, 3), (17, 17), (17, 16), (4, 17), (18, 12), (4, 16), (4, 24), (15, 20), (27, 25), (2, 26), (21, 26), (6, 15), (17, 20), (18, 7), (12, 5), (2, 4), (13, 13), (1, 0), (11, 34), (2, 13), (19, 30), (25, 11), (5, 7), (9, 8), (13, 16), (17, 7), (29, 29), (3, 18), (30, 32), (14, 1), (5, 33), (20, 19), (18, 26), (15, 5), (24, 10), (14, 4), (22, 13), (25, 31), (28, 25), (18, 9), (6, 31), (5, 1), (7, 15), (2, 31), (14, 13), (28, 7), (3, 1), (23, 10), (22, 32), (30, 25), (28, 23), (7, 11), (4, 14), (29, 28), (24, 5), (16, 21), (21, 3), (13, 1), (13, 23), (14, 6), (11, 16), (11, 3), (27, 23), (15, 1), (20, 3), (21, 7), (8, 14), (16, 11), (14, 0), (3, 24), (10, 15), (15, 11), (6, 34), (7, 17), (2, 11), (20, 15), (29, 13), (28, 8), (5, 23), (5, 30), (15, 22), (9, 24), (30, 11), (25, 4), (10, 34), (7, 3), (5, 9), (27, 3), (22, 0), (29, 31), (30, 8), (11, 30), (21, 23), (7, 25), (4, 4), (3, 30), (7, 19), (0, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 30x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 32), (13, 25), (26, 1), (28, 9), (3, 1), (22, 28), (3, 6), (12, 3), (4, 31), (15, 23), (26, 10), (7, 22), (25, 7), (7, 34), (6, 28), (0, 34), (0, 7), (2, 1), (20, 15), (3, 34), (11, 25), (1, 32), (9, 11), (11, 12), (25, 9), (28, 30), (20, 12), (2, 25), (0, 21), (14, 16), (9, 25), (24, 6), (16, 34), (28, 33), (16, 24), (7, 7), (24, 8), (25, 5), (8, 2), (12, 31), (5, 32), (26, 32), (2, 14), (26, 6), (11, 4), (4, 16), (13, 3), (25, 29), (2, 20), (20, 17), (3, 4), (1, 1), (8, 0), (3, 10), (8, 22), (29, 7), (17, 19), (13, 8), (28, 13), (6, 27), (24, 3), (5, 31), (27, 30), (27, 17), (28, 16), (10, 11), (18, 5), (11, 11), (29, 16), (22, 6), (9, 28), (11, 24), (15, 19), (8, 15), (12, 4), (12, 18), (16, 18), (7, 23), (29, 15), (5, 16), (15, 22), (2, 6), (0, 26), (14, 13), (28, 21), (6, 22), (12, 22), (28, 25), (13, 14), (3, 26), (20, 13), (25, 4), (24, 9), (28, 19), (29, 0), (1, 34), (21, 0), (29, 9), (25, 12), (13, 15), (21, 3), (26, 19), (24, 18), (29, 12), (10, 15), (16, 11), (9, 9), (23, 8), (17, 10), (27, 19), (3, 2), (20, 7), (22, 25), (5, 9), (8, 27), (27, 29), (16, 23), (25, 15), (17, 22), (15, 16), (26, 34), (12, 25), (27, 16), (4, 0), (18, 12), (24, 33), (26, 0), (4, 13), (13, 26), (20, 31), (4, 15), (25, 16), (10, 21), (14, 17), (21, 19), (13, 0), (13, 9), (4, 33), (17, 17), (6, 4), (22, 17), (17, 12), (7, 0), (4, 20), (20, 0), (2, 5), (3, 27), (2, 33), (2, 8), (7, 28), (25, 10), (12, 16), (22, 18), (5, 4), (14, 24), (11, 22), (16, 8), (9, 8), (0, 9), (8, 13), (9, 33), (23, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 20), (22, 0), (15, 29), (20, 27), (8, 2), (5, 29), (34, 23), (21, 5), (10, 20), (14, 31), (18, 1), (31, 18), (17, 17), (22, 27), (2, 9), (11, 2), (32, 9), (9, 33), (15, 24), (4, 0), (29, 15), (26, 20), (14, 17), (33, 17), (22, 18), (31, 0), (8, 8), (22, 32), (10, 28), (28, 5), (27, 3), (26, 28), (0, 21), (17, 16), (21, 7), (17, 9), (28, 28), (20, 32), (7, 8), (20, 28), (0, 17), (9, 31), (2, 19), (15, 15), (32, 22), (1, 9), (30, 14), (11, 33), (27, 0), (7, 7), (11, 28), (15, 27), (2, 6), (26, 22), (26, 1), (3, 14), (9, 27), (18, 3), (13, 26), (10, 32), (33, 5), (27, 28), (23, 13), (15, 33), (0, 26), (2, 3), (7, 33), (20, 17), (4, 26), (14, 28), (21, 8), (8, 19), (29, 20), (14, 7), (23, 10), (32, 26), (17, 19), (4, 25), (16, 10), (29, 28), (1, 20), (0, 23), (25, 15), (0, 10), (5, 1), (12, 9), (34, 21), (4, 4), (13, 27), (8, 13), (20, 5), (16, 33), (26, 7), (26, 33), (4, 21), (29, 10), (23, 4), (11, 16), (8, 22), (16, 3), (15, 12), (25, 30), (13, 21), (29, 29), (31, 4), (7, 29), (18, 13), (26, 8), (3, 13), (16, 16), (12, 30), (20, 14), (18, 26), (22, 7), (21, 9), (33, 23), (18, 25), (31, 5), (7, 31), (23, 24), (32, 6), (22, 23), (32, 7), (8, 27), (34, 29), (3, 9), (14, 14), (22, 26), (34, 9), (25, 21), (2, 12), (15, 31), (29, 19), (20, 6), (27, 26), (6, 13), (19, 6), (33, 16), (5, 22), (9, 9), (6, 5), (23, 14), (7, 25), (11, 21), (16, 22), (10, 8), (21, 0), (6, 32), (22, 17), (16, 21), (3, 5), (11, 20), (3, 20), (20, 9), (19, 8), (20, 18), (34, 32), (28, 8), (6, 6), (24, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 38x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 13), (13, 16), (4, 26), (0, 28), (34, 4), (4, 29), (15, 16), (31, 7), (22, 22), (31, 34), (4, 17), (19, 1), (3, 27), (15, 20), (4, 21), (28, 31), (37, 29), (15, 28), (29, 1), (17, 17), (10, 32), (15, 2), (22, 18), (5, 23), (2, 2), (16, 1), (17, 1), (32, 17), (6, 17), (21, 17), (32, 9), (20, 26), (33, 19), (2, 32), (7, 19), (13, 32), (1, 13), (28, 11), (3, 18), (15, 7), (3, 9), (14, 20), (18, 4), (27, 0), (25, 34), (32, 29), (26, 24), (36, 29), (32, 22), (20, 6), (10, 5), (34, 6), (24, 6), (20, 11), (1, 3), (8, 18), (22, 13), (5, 11), (37, 9), (19, 17), (29, 20), (7, 27), (22, 6), (16, 29), (16, 7), (31, 1), (36, 17), (6, 31), (30, 34), (17, 9), (16, 12), (22, 26), (19, 31), (5, 9), (28, 29), (12, 8), (3, 29), (3, 3), (21, 15), (24, 11), (36, 22), (1, 16), (15, 17), (19, 35), (11, 3), (13, 25), (3, 6), (17, 8), (13, 11), (0, 33), (8, 31), (36, 1), (12, 22), (33, 11), (34, 2), (31, 2), (10, 12), (16, 31), (19, 8), (37, 7), (14, 23), (28, 7), (35, 31), (18, 31), (13, 30), (35, 33), (19, 7), (8, 8), (0, 7), (24, 5), (14, 25), (23, 1), (13, 12), (23, 2), (16, 19), (1, 30), (15, 14), (32, 6), (11, 12), (11, 23), (15, 3), (15, 4), (15, 12), (18, 8), (33, 17), (8, 20), (7, 20), (9, 1), (29, 23), (2, 20), (13, 24), (25, 23), (21, 21), (34, 35), (3, 5), (3, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 31), (16, 1), (5, 25), (6, 21), (18, 29), (16, 12), (34, 10), (21, 11), (36, 1), (26, 12), (31, 12), (30, 25), (28, 4), (34, 30), (38, 19), (23, 8), (28, 1), (18, 25), (5, 4), (31, 4), (25, 10), (36, 17), (21, 24), (33, 4), (26, 13), (21, 9), (26, 27), (16, 19), (4, 27), (1, 22), (24, 20), (16, 9), (9, 12), (17, 30), (34, 27), (36, 13), (27, 3), (14, 7), (22, 25), (9, 22), (13, 5), (22, 6), (35, 23), (12, 3), (6, 23), (18, 24), (20, 23), (20, 20), (36, 20), (15, 10), (16, 13), (26, 18), (1, 11), (27, 23), (31, 26), (37, 31), (13, 16), (0, 18), (31, 14), (28, 27), (33, 27), (25, 14), (23, 11), (18, 17), (28, 16), (3, 2), (9, 16), (15, 20), (34, 28), (30, 24), (21, 2), (13, 32), (4, 8), (23, 18), (22, 5), (13, 23), (0, 2), (11, 16), (38, 28), (9, 25), (11, 25), (32, 27), (32, 10), (3, 14), (24, 7), (10, 20), (34, 29), (1, 29), (30, 22), (22, 1), (22, 22), (9, 0), (25, 23), (30, 16), (31, 11), (0, 32), (7, 8), (8, 14), (36, 2), (32, 7), (19, 11), (29, 19), (29, 15), (1, 12), (27, 9), (4, 4), (23, 3), (0, 30), (33, 28), (15, 14), (20, 24), (14, 3), (34, 14), (23, 10), (33, 15), (6, 12), (19, 24), (9, 27), (10, 6), (3, 10), (27, 18), (31, 31), (22, 23), (38, 9), (15, 8), (16, 14), (4, 9), (19, 23), (34, 8), (19, 18), (10, 17), (23, 1), (14, 0), (7, 27), (1, 31), (13, 13), (30, 14), (17, 31), (11, 21), (7, 26), (0, 14), (14, 2), (12, 23), (12, 6), (13, 6), (38, 22), (15, 11), (38, 21), (22, 27), (2, 11), (20, 30), (14, 23), (12, 22), (5, 21), (8, 32), (33, 3), (30, 27), (28, 0), (10, 4), (18, 0), (11, 8), (4, 12), (25, 4), (8, 7), (20, 32), (31, 25), (37, 19), (6, 15), (27, 8), (16, 15), (11, 15), (18, 28), (19, 26), (17, 10), (7, 10), (4, 22), (37, 1), (0, 20), (11, 26), (38, 23), (4, 25), (31, 1), (35, 6), (37, 17), (18, 16), (23, 19), (32, 24), (35, 13), (30, 2), (13, 21), (36, 14), (23, 2), (13, 22), (30, 3), (27, 21), (26, 22), (6, 10), (34, 22), (35, 2), (31, 7), (38, 30), (16, 3), (2, 16), (15, 21), (11, 5), (13, 12), (26, 31), (18, 23), (21, 31), (10, 18), (14, 19), (37, 14), (2, 0), (9, 10), (8, 22), (24, 26), (37, 28), (18, 15), (17, 1), (4, 17), (23, 9), (15, 22), (22, 17), (17, 12), (4, 5), (37, 5), (37, 18), (21, 5), (4, 19), (1, 28), (28, 26), (36, 15), (1, 26), (10, 11), (36, 25), (15, 24), (26, 25), (24, 29), (13, 28), (25, 20), (24, 12), (29, 13), (23, 13), (0, 23), (2, 8), (20, 2), (30, 8), (6, 22), (30, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 17), (1, 32), (1, 16), (34, 25), (5, 21), (10, 29), (24, 32), (6, 18), (29, 27), (20, 32), (32, 29), (10, 5), (12, 21), (21, 19), (3, 14), (19, 24), (11, 19), (35, 2), (32, 0), (21, 3), (31, 10), (10, 19), (20, 33), (35, 32), (4, 9), (16, 7), (26, 12), (7, 5), (27, 30), (8, 3), (22, 8), (30, 14), (1, 24), (15, 22), (21, 30), (30, 8), (31, 27), (15, 19), (31, 0), (5, 28), (6, 16), (16, 15), (7, 29), (13, 31), (18, 26), (22, 24), (19, 25), (14, 33), (32, 15), (31, 13), (23, 5), (1, 4), (26, 28), (2, 26), (13, 5), (24, 23), (13, 33), (33, 22), (2, 21), (6, 13), (32, 23), (10, 10), (34, 26), (26, 15), (13, 26), (35, 17), (11, 13), (14, 27), (25, 4), (19, 4), (2, 29), (35, 22), (14, 16), (22, 21), (11, 24), (21, 5), (32, 11), (33, 24), (0, 23), (19, 8), (28, 30), (25, 15), (12, 4), (12, 19), (35, 24), (22, 32), (13, 28), (18, 1), (19, 17), (23, 8), (6, 1), (15, 10), (3, 31), (0, 12), (17, 31), (32, 28), (7, 1), (35, 12), (8, 2), (25, 12), (28, 18), (2, 27), (18, 24), (17, 29), (29, 7), (9, 30), (15, 1), (8, 28), (4, 33), (0, 10), (2, 6), (31, 15), (5, 13), (29, 23), (15, 14), (11, 0), (25, 22), (1, 30), (35, 15), (22, 13), (3, 12), (30, 12), (32, 8), (7, 14), (25, 20), (27, 4), (10, 2), (0, 1), (22, 4), (32, 9), (33, 5), (10, 32), (21, 26), (12, 7), (11, 30), (34, 7), (22, 22), (8, 7), (1, 12), (8, 6), (26, 22), (22, 20), (25, 30), (22, 5), (22, 16), (10, 21), (20, 27), (33, 23), (26, 32), (12, 12), (18, 3), (0, 31), (33, 1), (8, 21), (21, 10), (17, 32), (2, 18), (18, 6), (20, 19), (11, 33), (25, 5), (9, 7), (27, 7), (27, 9), (15, 26), (28, 16), (8, 18), (2, 30), (5, 32), (18, 9), (27, 29), (10, 27), (10, 22), (35, 4), (14, 11), (5, 9), (18, 16), (35, 0), (15, 30), (1, 15), (26, 20), (4, 19), (7, 20), (33, 31), (32, 25), (8, 5), (1, 28), (18, 8), (1, 31), (28, 21), (9, 8), (3, 28), (16, 8), (4, 13), (1, 6), (30, 19), (24, 24), (11, 12), (29, 32), (11, 17), (10, 13), (27, 24), (26, 7), (21, 14), (20, 1), (15, 25), (3, 23), (9, 12), (10, 24), (17, 21), (6, 24), (4, 31), (12, 15), (2, 8), (16, 9), (11, 23), (5, 18), (30, 5), (26, 13), (6, 9), (18, 33), (18, 10), (8, 33), (29, 9), (23, 2), (26, 27), (0, 18), (11, 9), (8, 22), (24, 21), (1, 20), (7, 27), (29, 16), (11, 4), (13, 17), (19, 12), (23, 20), (2, 14), (11, 11), (29, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 34x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 29), (29, 19), (29, 13), (32, 26), (4, 14), (1, 29), (30, 22), (27, 4), (10, 14), (18, 18), (24, 28), (26, 27), (11, 26), (6, 0), (23, 13), (13, 16), (31, 7), (28, 1), (14, 13), (1, 9), (7, 29), (4, 28), (19, 20), (19, 2), (32, 17), (30, 3), (33, 25), (17, 28), (23, 7), (15, 12), (15, 2), (16, 6), (7, 4), (3, 16), (28, 8), (11, 4), (8, 4), (19, 12), (23, 29), (33, 15), (27, 26), (32, 16), (29, 11), (13, 18), (32, 15), (6, 25), (2, 9), (23, 26), (16, 7), (25, 0), (11, 21), (14, 10), (24, 4), (24, 10), (20, 21), (26, 20), (31, 29), (5, 6), (4, 26), (3, 5), (17, 8), (2, 16), (1, 10), (30, 4), (18, 14), (26, 11), (33, 20), (21, 21), (33, 4), (32, 22), (30, 16), (1, 15), (22, 18), (10, 7), (20, 3), (32, 1), (28, 9), (20, 12), (0, 22), (31, 27), (19, 19), (33, 16), (3, 3), (17, 16), (26, 29), (3, 15), (15, 8), (20, 28), (31, 1), (14, 7), (9, 27), (11, 6), (18, 0), (27, 6), (32, 24), (17, 21), (15, 7), (2, 18), (33, 7), (1, 12), (26, 7), (32, 28), (1, 26), (6, 11), (0, 17), (8, 15), (10, 29), (27, 16), (31, 3), (6, 6), (9, 6), (12, 12), (6, 4), (23, 8), (14, 16), (32, 0), (6, 3), (10, 9), (31, 16), (23, 1), (16, 11), (19, 10), (28, 21), (1, 22), (27, 24), (26, 16), (12, 17), (25, 11), (7, 9), (22, 3), (8, 19), (16, 2), (2, 8), (20, 19), (22, 5), (11, 13), (31, 13), (10, 24), (9, 18), (19, 11), (7, 6), (1, 11), (27, 3), (6, 27), (15, 20), (2, 12), (8, 6), (16, 27), (7, 7), (7, 11), (4, 1), (21, 28), (27, 8), (2, 17), (21, 11), (2, 0), (15, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 35x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 25), (12, 21), (10, 28), (34, 18), (5, 22), (26, 5), (3, 32), (22, 5), (12, 23), (15, 18), (29, 6), (12, 20), (19, 31), (6, 31), (17, 8), (34, 13), (10, 27), (13, 2), (23, 8), (34, 6), (4, 6), (27, 10), (30, 4), (34, 3), (32, 10), (17, 34), (8, 13), (28, 20), (2, 11), (28, 25), (12, 33), (30, 34), (13, 14), (27, 35), (25, 12), (5, 9), (25, 34), (22, 28), (7, 26), (27, 28), (11, 1), (24, 15), (4, 28), (26, 33), (3, 12), (13, 27), (6, 13), (10, 12), (32, 20), (6, 35), (10, 17), (24, 8), (10, 35), (6, 14), (2, 4), (34, 26), (11, 5), (28, 0), (12, 4), (34, 4), (18, 19), (13, 5), (12, 27), (3, 5), (25, 11), (2, 13), (18, 17), (31, 31), (34, 19), (13, 10), (25, 21), (15, 7), (32, 33), (34, 32), (7, 24), (7, 32), (23, 25), (10, 16), (27, 32), (21, 12), (27, 19), (28, 16), (17, 21), (20, 15), (9, 13), (4, 22), (7, 28), (23, 15), (33, 26), (15, 2), (19, 6), (24, 28), (5, 35), (21, 24), (6, 33), (17, 29), (31, 21), (12, 8), (9, 9), (4, 8), (11, 29), (22, 27), (1, 25), (9, 27), (27, 20), (7, 30), (11, 14), (3, 9), (9, 34), (10, 34), (15, 26), (9, 19), (15, 17), (21, 5), (15, 19), (13, 28), (20, 34), (32, 16), (31, 34), (22, 30), (6, 10), (21, 26), (18, 25), (25, 30), (14, 34), (17, 25), (25, 3), (5, 31), (10, 20), (32, 13), (34, 8), (10, 29), (3, 15), (18, 1), (4, 30), (17, 14), (26, 32), (14, 15), (31, 18), (27, 9), (19, 22), (33, 10), (11, 28), (5, 4), (12, 34), (12, 26), (1, 16), (4, 0), (3, 2), (33, 31), (25, 16), (24, 20), (24, 9), (5, 30), (4, 34), (29, 4), (13, 12), (9, 16), (11, 4), (23, 10), (27, 27), (10, 3), (32, 2), (13, 24), (5, 24), (21, 35), (7, 6), (26, 3), (28, 9), (30, 6), (23, 16), (16, 11), (2, 32), (34, 30), (11, 21), (7, 1), (5, 13), (23, 22), (6, 27), (32, 25), (22, 15), (18, 3), (14, 13), (7, 11), (0, 22), (27, 30), (20, 11), (27, 17), (28, 26), (33, 18), (9, 33), (32, 8), (8, 9), (32, 17), (28, 14), (14, 6), (31, 0), (25, 33), (19, 34), (8, 26), (18, 30), (1, 5), (8, 34), (29, 23), (16, 17), (29, 33), (17, 10), (10, 32), (28, 18), (4, 2), (3, 24), (31, 12), (34, 14), (34, 16), (28, 2), (18, 22), (20, 0), (24, 4), (31, 24), (0, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 32x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 27), (19, 15), (12, 26), (9, 6), (3, 22), (17, 31), (15, 9), (26, 2), (22, 19), (24, 7), (19, 28), (18, 16), (29, 31), (19, 2), (25, 23), (25, 0), (4, 13), (30, 16), (3, 0), (13, 29), (29, 21), (10, 28), (20, 8), (20, 24), (17, 30), (27, 12), (25, 16), (16, 4), (25, 2), (23, 27), (25, 20), (8, 30), (13, 14), (26, 21), (17, 15), (2, 5), (25, 33), (12, 7), (26, 19), (13, 25), (21, 1), (7, 9), (3, 2), (30, 8), (24, 21), (14, 20), (15, 2), (7, 30), (12, 15), (7, 27), (2, 14), (31, 5), (28, 6), (11, 14), (0, 30), (19, 23), (21, 22), (10, 30), (17, 24), (30, 5), (27, 27), (26, 15), (13, 19), (3, 15), (18, 32), (7, 3), (0, 25), (14, 21), (26, 16), (25, 30), (21, 5), (2, 33), (11, 5), (31, 21), (14, 13), (7, 5), (19, 22), (3, 11), (23, 14), (1, 10), (1, 18), (28, 25), (31, 32), (28, 15), (23, 4), (0, 11), (8, 28), (5, 25), (11, 30), (28, 9), (28, 16), (31, 6), (18, 12), (18, 29), (23, 13), (29, 10), (24, 8), (24, 16), (21, 13), (20, 18), (28, 23), (21, 26), (19, 10), (14, 8), (21, 20), (10, 10), (13, 4), (27, 7), (30, 11), (24, 6), (7, 23), (30, 14), (1, 28), (13, 2), (22, 7), (31, 28), (16, 9), (28, 29), (10, 14), (28, 32), (22, 28), (3, 3), (23, 24), (22, 20), (6, 15), (26, 0), (3, 19), (10, 15), (21, 2), (31, 19), (8, 14), (19, 31), (5, 14), (25, 25), (1, 21), (18, 5), (9, 17), (5, 13), (6, 14), (7, 22), (30, 21), (26, 29), (27, 23), (28, 30), (10, 2), (21, 0), (1, 19), (14, 27), (6, 10), (11, 28), (20, 1), (8, 19), (4, 22), (27, 22), (15, 16), (20, 25), (4, 19), (16, 27), (19, 27), (1, 1), (4, 33), (26, 18), (30, 18), (29, 3), (10, 31), (25, 18), (22, 21), (9, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 36x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 1), (11, 8), (14, 7), (12, 25), (21, 1), (5, 28), (25, 12), (22, 24), (10, 16), (35, 20), (5, 4), (26, 2), (6, 28), (3, 20), (11, 11), (6, 25), (18, 14), (16, 20), (27, 14), (24, 19), (4, 0), (17, 16), (9, 13), (11, 26), (15, 29), (25, 21), (20, 0), (2, 11), (19, 29), (8, 20), (18, 29), (8, 5), (16, 16), (30, 16), (20, 29), (24, 20), (20, 14), (10, 12), (4, 28), (15, 7), (23, 7), (15, 27), (5, 1), (30, 13), (23, 21), (8, 6), (18, 7), (11, 29), (7, 27), (35, 3), (13, 2), (13, 24), (30, 21), (19, 23), (32, 18), (1, 17), (28, 28), (6, 24), (19, 25), (9, 7), (30, 26), (27, 24), (31, 17), (14, 18), (28, 2), (11, 19), (35, 2), (18, 10), (10, 7), (2, 4), (1, 29), (18, 5), (20, 23), (24, 28), (11, 10), (34, 27), (21, 28), (1, 23), (26, 14), (27, 26), (32, 8), (0, 18), (35, 1), (26, 21), (26, 7), (28, 0), (30, 25), (32, 12), (28, 18), (5, 2), (10, 11), (26, 15), (25, 0), (24, 27), (31, 23), (5, 11), (0, 2), (8, 17), (35, 15), (24, 22), (17, 15), (5, 24), (14, 16), (19, 12), (32, 20), (27, 20), (3, 24), (3, 9), (34, 6), (17, 10), (29, 4), (33, 10), (29, 3), (11, 5), (8, 9), (17, 29), (22, 29), (24, 8), (25, 7), (9, 17), (4, 19), (2, 6), (11, 15), (32, 26), (11, 1), (19, 28), (10, 26), (19, 4), (7, 21), (4, 11), (20, 1), (6, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 14), (11, 11), (16, 18), (15, 14), (25, 30), (20, 5), (2, 2), (8, 25), (11, 26), (21, 8), (27, 23), (32, 1), (1, 9), (28, 4), (7, 8), (0, 31), (15, 2), (27, 13), (33, 9), (8, 8), (24, 3), (21, 9), (5, 1), (16, 0), (19, 12), (12, 25), (10, 4), (23, 6), (2, 0), (4, 21), (32, 20), (31, 15), (21, 23), (27, 18), (20, 12), (3, 1), (3, 13), (30, 11), (23, 19), (12, 17), (21, 21), (30, 30), (3, 23), (21, 15), (14, 13), (31, 25), (31, 29), (3, 22), (16, 5), (20, 19), (4, 13), (8, 14), (21, 18), (6, 26), (16, 13), (32, 8), (10, 0), (10, 12), (7, 30), (2, 17), (6, 8), (29, 1), (15, 27), (0, 25), (1, 19), (13, 12), (2, 8), (23, 21), (16, 7), (16, 25), (24, 26), (11, 24), (32, 18), (23, 31), (5, 15), (4, 27), (23, 15), (16, 29), (26, 23), (1, 6), (24, 12), (5, 24), (11, 27), (1, 18), (7, 11), (18, 3), (6, 27), (28, 3), (15, 30), (3, 30), (5, 4), (16, 22), (23, 26), (27, 11), (8, 17), (9, 16), (33, 0), (1, 8), (27, 21), (31, 20), (27, 5), (7, 22), (24, 29), (19, 0), (11, 2), (15, 28), (6, 28), (14, 18), (10, 30), (22, 21), (2, 25), (17, 10), (12, 8), (17, 23), (1, 16), (33, 27), (29, 19), (12, 14), (33, 25), (17, 6), (2, 22), (2, 21), (26, 11), (23, 30), (11, 25), (1, 20), (22, 11), (18, 22), (9, 21), (33, 16), (9, 6), (17, 14), (25, 1), (5, 19), (15, 23), (17, 2), (8, 16), (7, 19), (30, 19), (18, 7), (21, 3), (15, 17), (24, 7), (17, 13), (20, 18), (14, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 24), (1, 22), (18, 4), (1, 7), (29, 23), (28, 30), (7, 4), (26, 12), (15, 9), (28, 25), (12, 10), (27, 29), (25, 6), (14, 29), (11, 13), (26, 1), (2, 0), (19, 3), (10, 9), (30, 23), (6, 31), (2, 30), (27, 0), (3, 2), (15, 23), (27, 10), (1, 23), (22, 1), (30, 26), (24, 8), (29, 20), (6, 28), (10, 24), (3, 16), (21, 0), (27, 21), (5, 25), (0, 10), (29, 27), (1, 27), (19, 26), (30, 18), (15, 0), (23, 19), (22, 14), (19, 30), (4, 5), (26, 5), (20, 15), (4, 20), (7, 30), (1, 31), (24, 1), (30, 8), (14, 30), (2, 26), (21, 22), (24, 13), (8, 24), (14, 23), (8, 12), (4, 4), (14, 5), (12, 26), (30, 22), (15, 31), (14, 13), (10, 31), (10, 18), (8, 25), (5, 12), (18, 18), (18, 31), (13, 24), (7, 1), (5, 4), (19, 25), (23, 23), (22, 21), (5, 10), (30, 13), (19, 13), (14, 16), (7, 24), (15, 21), (27, 17), (1, 11), (14, 9), (30, 6), (22, 4), (19, 19), (6, 12), (0, 8), (21, 19), (22, 24), (8, 18), (14, 7), (3, 13), (16, 22), (17, 15), (22, 12), (10, 1), (2, 10), (12, 6), (26, 8), (23, 2), (2, 9), (0, 27), (23, 9), (10, 13), (27, 2), (3, 18), (3, 9), (26, 14), (18, 26), (4, 10), (3, 1), (19, 0), (4, 0), (7, 18), (11, 25), (25, 20), (23, 5), (0, 24), (4, 29), (0, 16), (17, 12), (27, 3), (12, 9), (2, 13), (9, 29), (13, 20), (6, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 27), (4, 2), (37, 3), (2, 7), (0, 1), (18, 27), (7, 32), (14, 25), (35, 19), (1, 14), (2, 2), (2, 3), (32, 25), (13, 29), (13, 0), (0, 15), (37, 10), (11, 3), (1, 11), (24, 10), (35, 3), (24, 21), (21, 30), (16, 15), (4, 31), (20, 6), (5, 5), (36, 1), (33, 32), (7, 23), (12, 14), (31, 15), (16, 1), (25, 9), (25, 14), (11, 30), (20, 0), (9, 5), (37, 29), (29, 6), (32, 19), (28, 2), (26, 29), (29, 21), (15, 29), (15, 18), (31, 4), (11, 9), (34, 15), (5, 17), (8, 1), (24, 29), (36, 30), (23, 5), (12, 29), (30, 30), (16, 3), (21, 18), (37, 23), (8, 24), (37, 11), (1, 2), (29, 19), (37, 32), (0, 14), (4, 0), (10, 25), (19, 4), (12, 33), (23, 19), (18, 0), (21, 26), (13, 13), (37, 17), (27, 22), (34, 33), (15, 15), (32, 9), (15, 0), (31, 23), (37, 13), (35, 22), (9, 31), (36, 9), (19, 26), (3, 7), (5, 11), (20, 20), (32, 15), (23, 6), (30, 23), (6, 14), (35, 27), (1, 4), (15, 10), (26, 19), (9, 11), (14, 4), (16, 16), (9, 13), (8, 30), (2, 8), (23, 7), (17, 19), (5, 29), (15, 31), (3, 5), (6, 30), (32, 31), (24, 17), (37, 8), (14, 28), (27, 1), (16, 25), (9, 1), (12, 30), (28, 33), (27, 21), (22, 28), (2, 33), (11, 22), (17, 3), (1, 32), (1, 29), (22, 7), (15, 32), (34, 22), (4, 19), (28, 28), (28, 4), (27, 11), (22, 9), (17, 33), (0, 5), (29, 5), (23, 33), (22, 18), (3, 22), (0, 16), (35, 14), (32, 11), (4, 15), (5, 13), (7, 8), (29, 33), (26, 31), (13, 20), (10, 20), (17, 15), (17, 8), (11, 8), (33, 7), (18, 19), (31, 12), (17, 22), (0, 21), (15, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 30x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 35), (24, 15), (5, 9), (21, 9), (26, 35), (20, 32), (6, 10), (3, 18), (1, 2), (19, 2), (8, 16), (12, 35), (29, 34), (8, 20), (4, 26), (21, 19), (22, 27), (20, 10), (29, 14), (7, 32), (22, 23), (16, 21), (14, 30), (4, 17), (26, 12), (5, 4), (1, 24), (24, 19), (27, 11), (8, 1), (26, 32), (21, 26), (20, 0), (7, 27), (11, 32), (19, 9), (9, 35), (10, 2), (3, 19), (26, 23), (23, 26), (2, 30), (24, 20), (9, 15), (9, 5), (10, 35), (8, 21), (11, 34), (11, 28), (13, 23), (7, 14), (9, 13), (8, 31), (12, 8), (14, 16), (26, 11), (23, 28), (14, 15), (4, 12), (10, 10), (7, 1), (6, 12), (5, 1), (29, 17), (8, 4), (28, 0), (21, 24), (18, 32), (9, 24), (21, 8), (6, 32), (2, 23), (8, 8), (7, 18), (12, 22), (18, 19), (24, 31), (7, 12), (17, 4), (17, 10), (16, 6), (20, 24), (2, 26), (9, 1), (16, 22), (22, 34), (9, 23), (14, 6), (16, 29), (0, 13), (16, 25), (8, 25), (25, 5), (18, 22), (25, 33), (10, 4), (8, 24), (8, 26), (11, 18), (27, 22), (23, 16), (25, 11), (7, 3), (25, 32), (27, 12), (17, 30), (1, 25), (29, 4), (8, 34), (18, 33), (23, 22), (16, 1), (29, 1), (19, 13), (15, 2), (26, 30), (27, 20), (16, 28), (29, 21), (12, 24), (1, 19), (5, 10), (11, 22), (29, 26), (11, 31), (12, 20), (29, 0), (0, 17), (0, 31), (6, 23), (1, 13), (14, 32), (14, 29), (11, 23), (9, 22), (20, 25), (1, 16), (29, 32), (23, 13), (0, 27), (27, 2), (21, 34), (2, 20), (5, 21), (5, 22), (0, 19), (16, 7), (5, 7), (12, 1), (13, 21), (23, 31), (10, 13), (19, 15), (3, 28), (12, 4), (13, 29), (17, 1), (1, 29), (21, 28), (25, 26), (4, 25), (4, 22), (13, 35), (9, 0), (3, 15), (19, 22), (19, 20), (20, 11), (2, 21), (24, 11), (26, 5), (23, 11), (28, 1), (3, 20), (20, 2), (23, 33), (20, 8), (27, 10), (9, 8), (14, 35), (25, 24), (27, 5), (6, 5), (21, 1), (16, 23), (5, 33), (28, 25), (18, 24), (7, 5), (12, 25), (1, 27), (7, 33), (22, 18), (2, 13), (17, 5), (0, 16), (15, 11), (12, 14), (14, 0), (18, 18), (27, 25), (21, 4), (8, 32), (28, 15), (24, 7), (10, 31), (7, 9), (5, 19), (11, 12), (11, 4), (25, 35), (13, 11), (18, 2), (11, 15), (29, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 6), (19, 4), (15, 15), (6, 3), (5, 14), (3, 19), (24, 0), (4, 28), (8, 3), (38, 21), (12, 22), (31, 11), (23, 14), (7, 24), (16, 19), (24, 1), (31, 13), (21, 29), (23, 7), (38, 17), (4, 16), (22, 5), (28, 7), (14, 9), (21, 25), (28, 3), (14, 10), (23, 6), (5, 7), (37, 27), (2, 11), (7, 7), (17, 13), (23, 19), (1, 20), (35, 14), (4, 7), (10, 24), (35, 23), (38, 10), (28, 15), (23, 27), (11, 3), (28, 23), (35, 21), (17, 4), (32, 0), (18, 28), (5, 23), (21, 0), (30, 14), (19, 20), (12, 16), (14, 24), (21, 21), (10, 15), (33, 3), (7, 13), (35, 28), (19, 9), (27, 0), (37, 2), (18, 25), (24, 4), (20, 15), (20, 2), (6, 19), (8, 19), (19, 1), (13, 27), (4, 29), (24, 26), (10, 5), (28, 29), (0, 18), (19, 5), (16, 27), (30, 18), (11, 19), (32, 9), (10, 1), (34, 4), (24, 8), (13, 19), (24, 16), (29, 28), (6, 27), (33, 6), (20, 13), (6, 12), (1, 2), (29, 18), (33, 5), (17, 28), (10, 18), (33, 27), (6, 8), (26, 14), (34, 15), (20, 1), (9, 17), (33, 26), (32, 6), (37, 18), (28, 16), (18, 12), (26, 1), (8, 2), (1, 13), (17, 27), (2, 21), (8, 14), (22, 15), (4, 0), (30, 11), (14, 15), (37, 3), (16, 5), (4, 9), (0, 28), (11, 17), (0, 4), (24, 2), (2, 26), (13, 21), (16, 12), (31, 22), (13, 2), (20, 8), (34, 6), (26, 11), (36, 6), (3, 24), (32, 14), (19, 21), (38, 0), (21, 18), (1, 3), (37, 4), (20, 11), (1, 26), (21, 26), (37, 23), (22, 23), (2, 25), (21, 14), (0, 5), (36, 19), (29, 3), (31, 14), (6, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 23), (24, 8), (27, 8), (24, 12), (2, 15), (7, 9), (29, 24), (25, 11), (1, 34), (6, 23), (27, 11), (24, 1), (17, 12), (16, 22), (22, 35), (0, 1), (30, 25), (3, 33), (14, 31), (26, 28), (25, 28), (20, 1), (26, 25), (7, 10), (13, 22), (2, 4), (11, 36), (23, 14), (16, 5), (9, 11), (9, 7), (23, 30), (16, 33), (7, 23), (19, 7), (1, 35), (11, 13), (18, 24), (15, 4), (28, 11), (25, 33), (27, 30), (25, 31), (18, 18), (27, 6), (11, 30), (17, 17), (23, 22), (19, 37), (2, 35), (4, 3), (22, 26), (18, 4), (25, 19), (9, 0), (13, 28), (13, 17), (30, 3), (27, 25), (1, 2), (26, 30), (13, 35), (7, 7), (12, 30), (25, 37), (2, 30), (16, 12), (2, 17), (22, 29), (22, 27), (30, 33), (23, 3), (16, 0), (14, 1), (6, 19), (21, 2), (28, 30), (2, 12), (0, 12), (25, 2), (5, 26), (22, 1), (28, 22), (30, 7), (2, 5), (12, 23), (5, 36), (14, 25), (6, 10), (15, 10), (29, 8), (0, 16), (20, 19), (22, 14), (17, 19), (7, 35), (29, 17), (13, 29), (8, 12), (9, 5), (29, 1), (13, 0), (21, 36), (1, 24), (17, 26), (24, 26), (26, 37), (0, 5), (7, 18), (20, 29), (19, 13), (10, 1), (26, 20), (13, 7), (17, 3), (18, 17), (12, 15), (3, 17), (26, 6), (21, 17), (4, 30), (12, 11), (29, 16), (0, 15), (10, 23), (19, 27), (28, 10), (15, 14), (1, 32), (11, 31), (21, 22), (22, 15), (3, 24), (20, 13), (11, 14), (7, 4), (7, 27), (7, 17), (29, 28), (4, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 2), (34, 27), (7, 11), (35, 7), (23, 11), (13, 14), (35, 21), (18, 0), (35, 10), (37, 16), (33, 16), (28, 11), (23, 31), (28, 24), (1, 10), (36, 27), (29, 0), (33, 29), (23, 20), (28, 22), (12, 27), (1, 13), (29, 8), (22, 29), (4, 21), (34, 23), (36, 5), (35, 8), (27, 18), (5, 24), (0, 29), (6, 23), (8, 22), (4, 9), (3, 26), (24, 12), (27, 26), (22, 28), (20, 9), (6, 20), (15, 3), (4, 11), (19, 13), (6, 30), (17, 11), (27, 22), (11, 28), (17, 6), (34, 8), (32, 27), (31, 22), (24, 31), (22, 30), (15, 26), (18, 11), (37, 25), (16, 14), (29, 29), (37, 30), (0, 23), (30, 29), (10, 18), (20, 26), (16, 4), (12, 17), (13, 10), (2, 27), (28, 20), (12, 2), (16, 1), (18, 1), (16, 30), (28, 10), (14, 18), (8, 16), (33, 5), (28, 7), (18, 6), (20, 15), (33, 31), (30, 20), (32, 14), (10, 25), (17, 14), (1, 3), (4, 19), (17, 2), (20, 14), (22, 11), (4, 7), (15, 5), (23, 28), (16, 8), (6, 17), (14, 11), (36, 15), (33, 17), (19, 22), (9, 10), (21, 12), (37, 27), (27, 9), (15, 2), (29, 14), (7, 26), (0, 9), (19, 26), (21, 3), (16, 3), (4, 28), (4, 0), (3, 18), (9, 11), (11, 10), (28, 31), (6, 19), (20, 19), (16, 26), (24, 25), (22, 25), (10, 20), (1, 19), (20, 7), (12, 13), (24, 5), (24, 30), (32, 25), (20, 13), (11, 7), (31, 28), (35, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 30), (29, 7), (11, 25), (1, 33), (6, 0), (29, 3), (0, 25), (11, 0), (13, 17), (26, 7), (13, 23), (17, 31), (3, 11), (2, 33), (16, 30), (4, 15), (26, 13), (30, 26), (2, 21), (25, 24), (17, 6), (0, 15), (9, 0), (19, 21), (2, 34), (5, 3), (4, 6), (3, 15), (13, 15), (16, 22), (13, 16), (0, 27), (15, 27), (25, 22), (6, 12), (10, 16), (3, 23), (6, 16), (30, 20), (2, 8), (18, 28), (25, 30), (29, 18), (31, 8), (9, 1), (22, 9), (2, 14), (17, 32), (5, 32), (7, 9), (30, 0), (22, 22), (7, 24), (28, 6), (30, 34), (24, 20), (16, 3), (4, 13), (21, 7), (10, 3), (22, 34), (1, 10), (11, 18), (28, 29), (27, 14), (1, 3), (9, 21), (14, 34), (10, 20), (16, 18), (28, 19), (14, 8), (16, 27), (6, 30), (23, 8), (6, 5), (3, 3), (23, 4), (2, 6), (21, 5), (21, 28), (29, 12), (10, 8), (19, 17), (4, 31), (24, 2), (19, 12), (15, 22), (1, 18), (27, 10), (11, 17), (0, 32), (29, 33), (7, 26), (23, 29), (8, 30), (13, 34), (25, 1), (3, 16), (9, 26), (12, 16), (19, 4), (18, 0), (14, 22), (27, 13), (29, 19), (20, 14), (7, 6), (18, 24), (18, 30), (4, 1), (18, 11), (14, 10), (6, 34), (6, 20), (14, 4), (6, 4), (18, 25), (22, 26), (17, 5), (5, 5), (4, 11), (27, 11), (28, 28), (26, 4), (3, 0), (6, 24), (13, 24), (5, 17), (28, 13), (8, 27), (19, 3), (0, 20), (29, 21), (5, 23), (15, 30), (18, 31), (28, 9), (10, 11), (5, 19), (31, 5), (21, 33), (15, 7), (17, 2), (22, 17), (9, 13), (22, 23), (25, 32), (7, 28), (9, 24), (17, 29), (10, 22), (19, 33), (12, 1), (5, 25), (20, 17), (28, 5), (16, 16), (17, 20), (0, 14), (20, 22), (17, 9), (16, 31), (23, 30), (9, 14), (8, 5), (24, 22), (12, 17), (23, 12), (12, 8), (25, 25), (15, 28), (18, 23), (24, 4), (26, 26), (17, 0), (21, 26), (22, 5), (20, 2), (9, 3), (15, 1), (1, 17), (3, 5), (26, 25), (12, 34), (16, 12), (10, 2), (27, 15), (2, 2), (29, 26), (27, 20), (19, 29), (19, 5), (20, 5), (3, 2), (9, 18), (31, 23), (12, 25), (3, 19), (11, 33), (6, 22), (30, 30), (20, 31), (7, 31), (20, 24), (4, 21), (8, 8), (13, 12), (5, 34), (15, 19), (28, 24), (16, 34), (15, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 1), (2, 15), (19, 3), (14, 19), (29, 29), (6, 14), (5, 24), (10, 27), (1, 16), (17, 8), (10, 2), (32, 19), (33, 26), (2, 9), (32, 1), (12, 35), (23, 32), (8, 32), (17, 34), (17, 24), (35, 33), (16, 16), (23, 24), (25, 31), (21, 23), (8, 26), (17, 27), (16, 19), (6, 33), (23, 15), (32, 21), (32, 3), (9, 5), (11, 32), (6, 36), (29, 31), (31, 31), (26, 27), (10, 31), (34, 3), (34, 11), (30, 31), (25, 24), (35, 21), (29, 3), (2, 22), (32, 11), (23, 2), (26, 10), (35, 10), (25, 30), (17, 33), (7, 11), (18, 2), (30, 36), (4, 8), (3, 6), (27, 26), (13, 37), (26, 7), (29, 18), (20, 20), (20, 9), (15, 21), (16, 34), (22, 18), (13, 34), (3, 26), (14, 17), (0, 13), (9, 13), (15, 10), (10, 5), (30, 32), (11, 18), (27, 27), (14, 26), (33, 25), (6, 26), (16, 6), (19, 7), (2, 19), (22, 21), (15, 31), (26, 21), (16, 36), (21, 14), (6, 23), (13, 4), (22, 16), (1, 5), (10, 25), (11, 0), (13, 14), (9, 36), (24, 36), (7, 18), (12, 13), (17, 17), (7, 32), (33, 2), (25, 10), (6, 2), (21, 21), (21, 24), (31, 17), (6, 35), (6, 20), (16, 21), (32, 5), (1, 8), (16, 33), (17, 19), (5, 0), (23, 34), (19, 0), (7, 8), (6, 11), (30, 0), (27, 32), (32, 22), (5, 32), (14, 13), (9, 10), (23, 11), (13, 1), (10, 35), (33, 29), (28, 23), (16, 35), (19, 35), (31, 30), (5, 17), (30, 12), (35, 17), (14, 18), (12, 21), (10, 8), (12, 27), (35, 9), (13, 30), (20, 11), (30, 21), (1, 27), (1, 6), (24, 9), (14, 3), (28, 12), (19, 18), (6, 24), (22, 32), (15, 32), (26, 25), (9, 26), (14, 22), (24, 7), (25, 11), (9, 3), (35, 34), (16, 18), (5, 15), (6, 10), (17, 31), (27, 28), (13, 5), (20, 17), (34, 34), (23, 20), (5, 29), (3, 12), (27, 33), (12, 5), (32, 2), (11, 5), (21, 29), (3, 10), (31, 7), (22, 19), (6, 30), (26, 1), (13, 21), (17, 4), (1, 30), (5, 26), (20, 37), (25, 23), (30, 30), (32, 7), (35, 31), (25, 9), (27, 12), (22, 22), (25, 7), (0, 14), (24, 8), (8, 11), (33, 23), (1, 7), (20, 36), (13, 10), (18, 5), (9, 14), (10, 17), (32, 26), (34, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 27), (20, 29), (2, 33), (0, 4), (2, 21), (26, 33), (26, 4), (7, 20), (7, 6), (13, 18), (1, 21), (25, 15), (18, 25), (2, 35), (5, 13), (18, 2), (22, 0), (9, 23), (19, 23), (17, 2), (9, 14), (8, 21), (9, 1), (27, 7), (19, 10), (13, 17), (12, 31), (22, 19), (29, 18), (22, 18), (5, 33), (20, 8), (28, 8), (5, 19), (3, 31), (1, 16), (30, 9), (28, 11), (9, 10), (2, 9), (14, 30), (1, 20), (25, 32), (10, 15), (1, 2), (0, 18), (17, 21), (28, 22), (0, 33), (17, 1), (1, 37), (13, 21), (1, 11), (22, 14), (10, 31), (10, 29), (5, 5), (16, 6), (27, 1), (13, 11), (16, 5), (6, 1), (3, 0), (1, 8), (14, 29), (27, 14), (14, 0), (0, 32), (2, 12), (30, 17), (22, 5), (17, 25), (3, 34), (22, 17), (6, 15), (14, 11), (17, 30), (5, 31), (15, 7), (13, 25), (20, 16), (28, 15), (15, 24), (14, 8), (28, 2), (15, 37), (29, 28), (8, 37), (6, 26), (28, 28), (11, 27), (6, 25), (0, 10), (22, 22), (12, 14), (5, 16), (12, 3), (6, 11), (9, 30), (13, 30), (8, 4), (11, 20), (15, 5), (15, 15), (28, 3), (26, 35), (11, 35), (10, 4), (10, 18), (8, 16), (27, 8), (10, 16), (13, 7), (12, 36), (26, 31), (3, 29), (6, 7), (21, 24), (9, 28), (14, 27), (16, 18), (5, 36), (30, 12), (25, 23), (27, 13), (19, 12), (9, 8), (12, 24), (2, 6), (4, 37), (18, 5), (14, 6), (17, 11), (18, 23), (21, 15), (22, 12), (1, 4), (24, 6), (18, 14), (24, 8), (14, 31), (18, 7), (24, 34), (13, 32), (17, 26), (7, 22), (0, 35), (10, 19), (28, 23), (17, 31), (30, 1), (13, 34), (6, 8), (29, 36), (10, 11), (1, 6), (1, 12), (24, 37), (9, 24), (9, 2), (12, 23), (10, 5), (8, 15), (26, 11), (24, 1), (20, 22), (2, 17), (25, 0), (13, 23), (3, 13), (28, 25), (21, 10), (11, 28), (11, 14), (3, 28), (9, 16), (0, 7), (28, 31), (8, 26), (23, 8), (7, 21), (4, 3), (15, 10), (15, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 8), (18, 30), (25, 31), (14, 31), (30, 8), (26, 33), (10, 11), (5, 9), (24, 20), (32, 9), (10, 10), (19, 19), (2, 23), (12, 4), (29, 12), (9, 32), (17, 11), (5, 37), (15, 26), (11, 25), (0, 14), (2, 29), (32, 13), (32, 28), (20, 6), (23, 30), (15, 36), (0, 36), (21, 21), (5, 23), (32, 6), (12, 30), (28, 16), (32, 29), (18, 14), (30, 0), (21, 23), (2, 34), (23, 2), (9, 1), (16, 22), (24, 1), (21, 7), (22, 10), (32, 32), (17, 14), (17, 26), (20, 20), (20, 26), (11, 6), (29, 0), (17, 24), (9, 6), (19, 8), (4, 1), (0, 11), (14, 6), (24, 37), (18, 33), (28, 6), (13, 14), (21, 0), (13, 10), (27, 3), (20, 37), (23, 15), (29, 24), (27, 34), (7, 9), (4, 19), (25, 15), (9, 5), (31, 5), (20, 0), (23, 10), (15, 6), (8, 37), (4, 15), (15, 27), (8, 30), (29, 32), (27, 10), (13, 16), (15, 32), (6, 16), (31, 0), (5, 20), (23, 13), (9, 3), (32, 8), (21, 35), (13, 37), (20, 16), (15, 3), (0, 28), (12, 5), (18, 8), (7, 29), (15, 23), (8, 20), (18, 27), (20, 25), (1, 14), (24, 26), (4, 5), (27, 31), (10, 3), (19, 12), (28, 12), (29, 16), (29, 3), (12, 6), (3, 6), (6, 4), (11, 24), (6, 21), (8, 8), (19, 4), (18, 25), (20, 31), (1, 19), (11, 35), (28, 30), (15, 25), (27, 12), (7, 34), (31, 23), (23, 35), (5, 21), (29, 31), (23, 23), (9, 19), (31, 28), (10, 2), (14, 12), (16, 28), (15, 20), (3, 16), (11, 13), (13, 27), (2, 28), (31, 11), (23, 21), (9, 24), (4, 35), (4, 8), (1, 21), (31, 31), (27, 18), (16, 37), (5, 16), (2, 1), (21, 3), (20, 13), (32, 34), (11, 3), (1, 37), (25, 3), (19, 1), (8, 34), (24, 30), (12, 3), (30, 18), (19, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 2), (26, 18), (10, 15), (27, 9), (31, 29), (29, 21), (4, 19), (14, 4), (32, 11), (1, 15), (29, 23), (22, 25), (13, 26), (24, 20), (5, 14), (29, 15), (25, 18), (27, 14), (7, 22), (24, 7), (25, 7), (13, 18), (6, 9), (12, 8), (17, 7), (26, 15), (4, 0), (11, 22), (12, 11), (16, 3), (14, 18), (5, 22), (25, 16), (19, 24), (26, 22), (14, 28), (2, 4), (25, 12), (16, 26), (5, 9), (13, 10), (13, 14), (13, 16), (18, 12), (24, 19), (31, 16), (22, 22), (13, 11), (4, 2), (18, 20), (0, 25), (1, 25), (10, 26), (18, 18), (15, 5), (1, 24), (4, 9), (16, 11), (26, 29), (9, 2), (5, 19), (17, 26), (24, 26), (29, 22), (1, 18), (31, 9), (29, 12), (4, 18), (0, 4), (7, 21), (21, 18), (3, 2), (20, 25), (31, 25), (16, 6), (27, 24), (21, 14), (24, 16), (30, 29), (10, 28), (16, 1), (20, 6), (2, 5), (22, 12), (9, 22), (16, 20), (27, 5), (31, 27), (0, 24), (14, 27), (23, 14), (17, 0), (12, 10), (29, 29), (6, 13), (5, 6), (32, 10), (22, 8), (29, 10), (23, 9), (4, 12), (4, 10), (22, 29), (27, 26), (24, 15), (3, 7), (28, 12), (10, 8), (21, 15), (31, 20), (5, 29), (1, 14), (4, 13), (23, 11), (26, 16), (19, 21), (20, 17), (7, 4), (25, 21), (6, 17), (17, 22), (32, 8), (26, 26), (31, 13), (6, 24), (27, 13), (9, 17), (7, 10), (4, 5), (14, 23), (25, 26), (25, 27), (20, 11), (8, 28), (17, 8), (14, 14), (11, 23), (6, 8), (14, 15), (25, 19), (5, 3), (22, 0), (18, 7), (24, 29), (10, 4), (27, 22), (29, 16), (29, 28), (7, 3), (7, 11), (15, 26), (8, 26), (32, 21), (6, 20), (16, 9), (19, 27), (31, 17), (1, 11), (12, 14), (4, 29), (15, 13), (17, 6), (0, 12), (16, 23), (8, 4), (28, 3), (28, 0), (27, 16), (3, 10), (13, 12), (26, 21), (23, 20), (8, 8), (15, 20), (0, 23), (28, 25), (30, 21), (26, 0), (28, 5), (2, 17), (19, 15), (19, 25), (3, 29), (14, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 17), (16, 25), (2, 29), (4, 7), (29, 35), (14, 28), (19, 25), (26, 32), (27, 13), (10, 11), (30, 18), (15, 2), (0, 15), (19, 33), (28, 2), (3, 17), (10, 28), (18, 21), (6, 12), (15, 9), (8, 35), (24, 2), (6, 9), (5, 23), (20, 13), (29, 32), (2, 21), (12, 15), (28, 21), (2, 33), (11, 5), (24, 15), (15, 17), (30, 17), (9, 34), (6, 37), (21, 21), (24, 17), (8, 29), (26, 21), (9, 27), (23, 22), (9, 13), (30, 8), (12, 9), (22, 36), (19, 16), (1, 28), (11, 2), (17, 3), (9, 25), (24, 26), (3, 16), (13, 38), (22, 35), (22, 13), (22, 20), (17, 30), (2, 37), (1, 25), (9, 36), (6, 15), (28, 31), (10, 20), (24, 7), (29, 3), (20, 16), (21, 37), (6, 28), (16, 12), (18, 38), (21, 38), (8, 1), (14, 12), (24, 23), (7, 22), (6, 7), (17, 5), (13, 22), (13, 25), (18, 2), (2, 3), (1, 36), (16, 26), (10, 10), (9, 26), (12, 19), (3, 25), (30, 33), (18, 13), (20, 17), (5, 37), (26, 11), (0, 20), (18, 16), (27, 27), (11, 3), (18, 11), (10, 24), (19, 28), (28, 7), (1, 15), (11, 35), (28, 4), (18, 33), (17, 8), (8, 16), (28, 16), (29, 38), (0, 27), (16, 17), (21, 34), (14, 4), (14, 11), (4, 5), (6, 22), (29, 36), (28, 19), (15, 4), (21, 32), (18, 37), (17, 12), (14, 29), (11, 30), (30, 9), (18, 5), (17, 0), (23, 3), (6, 13), (4, 31), (30, 12), (26, 36), (5, 15), (20, 28), (5, 12), (22, 19), (9, 10), (11, 4), (25, 23), (24, 24), (23, 30), (23, 2), (30, 31), (27, 28), (1, 26), (15, 26), (20, 6), (19, 1), (23, 25), (27, 2), (1, 34), (26, 27), (19, 21), (10, 2), (19, 8), (27, 23), (14, 25), (12, 3), (16, 7), (0, 33), (11, 26), (21, 16), (13, 11), (16, 28), (2, 36), (13, 33), (13, 31), (17, 6), (7, 0), (22, 5), (13, 18), (28, 29), (23, 23), (19, 17), (13, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 0), (11, 16), (22, 18), (24, 18), (4, 23), (29, 3), (22, 8), (19, 17), (3, 19), (26, 7), (21, 12), (20, 28), (4, 0), (30, 25), (0, 30), (8, 17), (7, 12), (6, 27), (7, 1), (12, 26), (10, 16), (11, 1), (9, 27), (4, 25), (3, 31), (15, 24), (10, 15), (30, 24), (11, 30), (5, 24), (21, 27), (11, 19), (15, 11), (9, 3), (20, 0), (23, 15), (21, 1), (16, 27), (9, 12), (16, 5), (23, 18), (9, 10), (31, 2), (2, 2), (17, 25), (12, 8), (27, 19), (17, 7), (5, 11), (13, 23), (10, 24), (3, 16), (22, 4), (17, 18), (13, 17), (23, 14), (18, 26), (2, 5), (31, 25), (4, 4), (9, 28), (21, 18), (7, 18), (9, 21), (10, 7), (17, 22), (2, 1), (6, 5), (4, 30), (12, 6), (31, 1), (21, 9), (21, 25), (16, 17), (14, 1), (13, 4), (6, 16), (5, 30), (23, 2), (27, 16), (24, 1), (21, 28), (9, 1), (27, 0), (19, 0), (7, 27), (0, 29), (27, 3), (21, 21), (20, 20), (22, 31), (15, 23), (27, 2), (12, 29), (14, 7), (15, 5), (15, 26), (3, 25), (22, 14), (8, 13), (21, 11), (10, 8), (31, 30), (8, 14), (6, 3), (5, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 14), (9, 3), (10, 23), (26, 28), (0, 20), (4, 20), (10, 28), (25, 29), (24, 14), (25, 27), (20, 32), (22, 32), (2, 28), (10, 9), (28, 9), (15, 3), (28, 5), (17, 19), (32, 0), (1, 21), (28, 0), (28, 27), (4, 4), (17, 24), (7, 33), (30, 18), (20, 10), (24, 1), (20, 21), (25, 14), (31, 9), (13, 9), (0, 26), (5, 6), (5, 28), (5, 33), (8, 22), (17, 4), (12, 7), (10, 25), (18, 12), (24, 16), (14, 0), (25, 23), (30, 4), (6, 26), (15, 29), (13, 6), (21, 8), (29, 0), (7, 29), (4, 21), (15, 8), (19, 3), (9, 4), (9, 23), (3, 33), (0, 4), (18, 21), (0, 17), (29, 6), (20, 18), (26, 21), (31, 12), (3, 1), (1, 27), (26, 31), (25, 26), (30, 5), (20, 31), (7, 28), (7, 20), (14, 33), (5, 32), (23, 13), (27, 22), (5, 17), (23, 31), (23, 10), (26, 14), (31, 8), (28, 17), (31, 31), (20, 0), (32, 8), (32, 6), (12, 24), (5, 31), (29, 22), (18, 2), (32, 23), (8, 0), (9, 29), (11, 19), (8, 8), (15, 14), (21, 6), (31, 2), (23, 8), (16, 15), (27, 4), (17, 11), (1, 15), (18, 6), (11, 33), (16, 20), (25, 4), (22, 3), (17, 15), (28, 11), (5, 23), (18, 7), (22, 11), (0, 16), (2, 9), (5, 1), (18, 18), (8, 23), (30, 8), (0, 7), (27, 33), (29, 17), (14, 18), (24, 19), (17, 30), (18, 25), (14, 31), (13, 13), (6, 20), (0, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 17), (20, 32), (0, 18), (12, 27), (31, 25), (21, 26), (11, 32), (12, 23), (9, 5), (7, 10), (10, 24), (34, 28), (16, 2), (15, 19), (16, 11), (0, 24), (11, 3), (11, 6), (4, 10), (1, 13), (11, 9), (7, 14), (17, 29), (1, 0), (10, 17), (8, 24), (3, 19), (27, 26), (6, 2), (35, 20), (34, 19), (5, 10), (20, 31), (14, 27), (12, 20), (5, 8), (16, 16), (30, 32), (22, 19), (11, 24), (8, 14), (5, 4), (16, 4), (18, 22), (11, 7), (0, 11), (8, 2), (30, 22), (26, 18), (31, 14), (22, 26), (6, 9), (8, 11), (24, 11), (15, 18), (6, 12), (12, 29), (12, 18), (10, 32), (16, 21), (25, 12), (26, 13), (20, 10), (14, 15), (34, 26), (28, 2), (17, 0), (33, 26), (26, 27), (25, 15), (0, 17), (34, 20), (31, 10), (16, 10), (19, 13), (10, 5), (0, 12), (13, 20), (6, 6), (17, 19), (14, 29), (28, 19), (21, 21), (12, 10), (19, 18), (8, 7), (4, 14), (2, 32), (10, 29), (35, 16), (29, 1), (17, 4), (4, 6), (9, 7), (3, 1), (2, 23), (33, 13), (25, 18), (29, 28), (25, 1), (21, 22), (20, 0), (5, 3), (10, 26), (11, 31), (17, 12), (11, 0), (33, 0), (23, 15), (25, 6), (15, 5), (18, 2), (17, 31), (35, 4), (28, 25), (8, 21), (13, 26), (2, 30), (8, 27), (22, 12), (15, 25), (24, 34), (28, 13), (7, 17), (3, 18), (3, 2), (9, 2), (27, 31), (21, 2), (22, 4), (5, 20), (9, 16), (22, 22), (4, 1), (34, 11), (22, 15), (22, 18), (35, 0), (0, 31), (23, 29), (4, 32), (25, 25), (8, 13), (29, 12), (9, 18), (32, 0), (4, 22), (9, 32), (20, 15), (15, 27), (23, 7), (28, 11), (30, 9), (31, 0), (18, 34), (1, 23), (5, 18), (17, 10), (20, 29), (16, 5), (14, 19), (14, 10), (13, 25), (25, 24), (24, 12), (35, 13), (6, 5), (9, 29), (30, 29), (24, 2), (32, 34), (18, 31), (32, 30), (6, 25), (0, 30), (5, 23), (22, 11), (18, 10), (20, 34), (5, 21), (12, 9), (12, 26), (17, 13), (22, 21), (28, 8), (2, 27), (10, 8), (12, 19), (19, 31), (9, 21), (19, 6), (13, 11), (10, 18), (33, 27), (26, 9), (24, 15), (15, 7), (13, 1), (30, 14), (10, 0), (22, 8), (8, 22), (14, 0), (21, 20), (19, 25), (15, 30), (1, 7), (32, 12), (35, 33), (10, 31), (2, 7), (1, 5), (0, 20), (26, 16), (18, 16), (15, 22), (5, 26), (12, 3), (11, 10), (21, 4), (7, 18), (29, 5), (27, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 27), (26, 30), (15, 33), (14, 27), (29, 21), (13, 14), (18, 6), (31, 3), (27, 8), (24, 11), (33, 0), (20, 7), (11, 9), (23, 6), (3, 16), (4, 16), (21, 26), (20, 10), (27, 14), (2, 16), (33, 25), (25, 23), (13, 11), (6, 18), (31, 20), (22, 23), (17, 9), (30, 26), (14, 1), (25, 15), (12, 20), (35, 10), (28, 1), (4, 14), (35, 34), (27, 4), (1, 33), (16, 1), (18, 14), (1, 24), (25, 24), (24, 7), (23, 32), (34, 11), (12, 0), (20, 22), (14, 11), (5, 9), (26, 6), (0, 7), (17, 18), (15, 7), (0, 5), (29, 22), (15, 0), (13, 26), (31, 35), (5, 11), (6, 14), (30, 32), (23, 9), (15, 22), (2, 3), (34, 13), (21, 18), (9, 35), (15, 5), (36, 15), (11, 2), (29, 7), (0, 8), (22, 25), (9, 6), (34, 6), (16, 31), (22, 6), (30, 27), (8, 26), (33, 34), (25, 9), (16, 3), (11, 5), (21, 4), (20, 3), (26, 34), (15, 32), (28, 27), (35, 29), (21, 5), (23, 14), (0, 2), (15, 23), (5, 15), (1, 32), (25, 28), (15, 28), (10, 35), (11, 4), (32, 12), (12, 28), (15, 30), (8, 31), (25, 25), (6, 19), (17, 0), (15, 20), (26, 26), (8, 5), (35, 17), (20, 17), (20, 35), (5, 16), (17, 14), (3, 17), (8, 1), (27, 3), (6, 9), (12, 1), (12, 32), (22, 15), (11, 15), (6, 24), (12, 27), (35, 2), (7, 24), (11, 23), (3, 33), (20, 5), (8, 6), (11, 18), (18, 32), (21, 22), (13, 6), (5, 10), (7, 12), (25, 34), (30, 23), (0, 12), (11, 33), (12, 12), (4, 30), (21, 11), (10, 5), (8, 13), (27, 20), (23, 20), (32, 8), (23, 11), (25, 22), (23, 28), (5, 8), (9, 12), (28, 18), (26, 12), (3, 1), (26, 33), (6, 20), (28, 35)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 25), (35, 3), (17, 19), (7, 8), (9, 27), (1, 5), (22, 34), (0, 12), (35, 12), (2, 27), (30, 32), (4, 5), (2, 25), (35, 37), (23, 7), (22, 6), (3, 16), (14, 27), (12, 33), (8, 13), (13, 33), (34, 10), (36, 21), (5, 14), (23, 12), (27, 23), (8, 23), (32, 37), (22, 26), (25, 27), (6, 38), (19, 12), (17, 22), (2, 26), (8, 28), (24, 2), (7, 11), (6, 29), (0, 36), (15, 24), (21, 21), (10, 0), (4, 32), (14, 12), (15, 16), (3, 1), (36, 14), (22, 1), (35, 24), (32, 8), (21, 19), (23, 23), (18, 10), (35, 17), (1, 11), (15, 2), (0, 11), (20, 5), (4, 21), (2, 30), (9, 20), (31, 9), (11, 7), (31, 14), (16, 9), (9, 18), (31, 6), (4, 1), (34, 28), (16, 26), (24, 5), (14, 33), (6, 0), (28, 22), (20, 0), (29, 38), (12, 6), (21, 16), (3, 28), (16, 13), (16, 23), (35, 27), (1, 1), (20, 14), (18, 36), (33, 21), (4, 23), (20, 33), (1, 9), (29, 17), (31, 10), (5, 35), (8, 20), (2, 36), (23, 4), (0, 4), (30, 37), (29, 22), (1, 4), (24, 4), (2, 8), (4, 38), (13, 37), (18, 27), (23, 19), (5, 2), (9, 1), (13, 35), (3, 10), (27, 37), (7, 29), (20, 19), (36, 7), (16, 6), (20, 10), (6, 6), (0, 28), (4, 11), (34, 37), (4, 27), (36, 29), (13, 19), (10, 35), (4, 20), (21, 14), (10, 15), (8, 37), (36, 26), (19, 37), (9, 11), (9, 24), (3, 31), (20, 15), (20, 3), (34, 18), (32, 1), (25, 8), (36, 22), (32, 18), (18, 5), (4, 36), (19, 11), (18, 15), (34, 14), (8, 16), (22, 11), (13, 9), (31, 5), (26, 7), (21, 23), (22, 37), (27, 4), (20, 18), (22, 35), (6, 21), (22, 24), (37, 8), (21, 7), (11, 0), (11, 10), (23, 13), (9, 8), (2, 28), (30, 25), (0, 18), (11, 22), (26, 28), (32, 16), (1, 0), (29, 31), (36, 23), (24, 16), (18, 18), (28, 36), (27, 12), (14, 0), (29, 0), (36, 2), (3, 8), (21, 36), (8, 38), (24, 23), (35, 18), (37, 25), (33, 38), (35, 6), (22, 8), (18, 30), (18, 29), (18, 22), (11, 16), (17, 13), (10, 9), (16, 33), (5, 31), (2, 18), (37, 33), (12, 11), (22, 17), (24, 22), (12, 18), (4, 14), (1, 18), (36, 3), (29, 37), (13, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 33x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 28), (3, 20), (31, 31), (6, 31), (23, 15), (15, 22), (6, 23), (17, 1), (14, 21), (19, 30), (6, 19), (3, 13), (15, 24), (24, 11), (18, 19), (25, 3), (4, 1), (19, 27), (1, 26), (26, 30), (28, 0), (12, 5), (32, 19), (17, 18), (12, 14), (9, 26), (10, 26), (4, 6), (2, 2), (10, 18), (25, 25), (22, 16), (12, 0), (27, 11), (20, 27), (1, 2), (32, 10), (11, 31), (30, 3), (20, 17), (19, 3), (30, 21), (8, 25), (24, 10), (7, 14), (2, 22), (14, 3), (27, 7), (29, 5), (26, 3), (21, 16), (23, 19), (24, 21), (2, 20), (26, 15), (31, 4), (21, 18), (29, 22), (28, 7), (20, 5), (26, 26), (16, 26), (23, 21), (6, 17), (12, 21), (20, 31), (2, 9), (30, 12), (18, 7), (4, 19), (18, 0), (29, 0), (13, 15), (1, 23), (23, 30), (20, 18), (5, 13), (7, 22), (29, 3), (24, 18), (32, 7), (30, 4), (26, 21), (10, 22), (17, 21), (8, 1), (16, 19), (22, 18), (8, 30), (27, 16), (2, 29), (16, 6), (16, 2), (21, 6), (0, 19), (15, 26), (12, 26), (0, 30), (15, 21), (13, 23), (3, 16), (4, 30), (24, 5), (10, 19), (12, 12), (19, 25), (4, 8), (29, 29), (2, 1), (30, 20), (25, 18), (30, 5), (1, 31), (20, 29), (7, 9), (3, 5), (4, 7), (9, 16), (12, 8), (5, 16), (28, 16), (10, 13), (13, 0), (18, 10), (16, 5), (14, 28), (0, 7), (12, 10), (18, 24), (12, 9), (13, 7), (31, 7), (29, 2), (27, 29), (20, 2), (28, 11), (31, 24), (11, 8), (22, 12), (6, 4), (21, 12), (25, 11), (2, 16), (24, 17), (11, 18), (16, 0), (16, 21), (13, 13), (3, 12), (19, 15), (15, 7), (28, 21), (7, 3), (5, 18), (5, 20), (7, 30), (25, 24), (32, 2), (30, 22), (10, 27), (14, 25), (32, 8), (5, 7), (13, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 6), (35, 1), (6, 0), (12, 18), (34, 30), (14, 29), (10, 20), (10, 33), (14, 26), (8, 29), (27, 9), (6, 33), (32, 36), (28, 5), (8, 12), (31, 6), (12, 9), (3, 10), (0, 35), (32, 23), (9, 9), (15, 12), (34, 15), (29, 24), (11, 14), (27, 32), (4, 12), (5, 30), (27, 6), (0, 15), (28, 21), (16, 17), (8, 25), (26, 27), (18, 7), (23, 19), (19, 19), (33, 23), (1, 8), (17, 32), (32, 34), (11, 33), (20, 21), (10, 16), (28, 19), (28, 32), (34, 9), (21, 27), (27, 25), (11, 32), (3, 20), (32, 3), (3, 6), (11, 19), (23, 5), (19, 35), (3, 29), (19, 27), (30, 27), (22, 15), (12, 15), (15, 13), (29, 27), (14, 34), (20, 18), (26, 2), (23, 1), (13, 20), (32, 30), (36, 6), (2, 11), (10, 9), (10, 10), (7, 19), (25, 19), (12, 0), (13, 10), (3, 0), (30, 31), (33, 9), (16, 34), (9, 17), (32, 26), (7, 20), (5, 27), (3, 3), (26, 21), (34, 19), (35, 6), (7, 2), (8, 9), (12, 27), (19, 12), (15, 16), (32, 18), (28, 33), (19, 16), (11, 29), (34, 16), (32, 7), (7, 26), (1, 13), (2, 8), (0, 29), (14, 22), (9, 23), (2, 17), (19, 25), (21, 9), (14, 7), (12, 34), (3, 30), (25, 26), (9, 34), (8, 20), (5, 26), (34, 29), (20, 3), (25, 33), (16, 32), (23, 33), (16, 28), (8, 34), (28, 25), (7, 36), (19, 13), (1, 11), (6, 15), (16, 6), (8, 35), (22, 33), (12, 10), (19, 24), (20, 16), (21, 10), (22, 23), (29, 25), (36, 18), (35, 23), (32, 17), (24, 15), (34, 21), (11, 26), (10, 30), (8, 15), (13, 2), (21, 17), (6, 18), (2, 9), (35, 32), (6, 34), (27, 24), (31, 22), (25, 25), (13, 29), (26, 20), (2, 29), (11, 18), (19, 7), (17, 24), (34, 7), (21, 2), (14, 30), (23, 18), (31, 27), (35, 21), (0, 28), (0, 22), (13, 31), (32, 4), (33, 14), (3, 18), (14, 18), (18, 19), (3, 36), (13, 25), (30, 14), (35, 29), (9, 4), (22, 4), (7, 13), (8, 7), (28, 11), (12, 13), (30, 20), (6, 26), (0, 17), (8, 31), (1, 36), (33, 2), (25, 7), (10, 27), (32, 24), (1, 33), (20, 29), (6, 7), (22, 34), (27, 17), (30, 17), (15, 15), (15, 32), (18, 27), (0, 10), (32, 22), (30, 30), (20, 26), (26, 25), (22, 29), (25, 20), (25, 34), (5, 19), (32, 31), (20, 12), (12, 6), (30, 6), (29, 0), (17, 33), (29, 28), (36, 34), (11, 8), (3, 4), (9, 5), (12, 33), (35, 17), (35, 19), (20, 35), (27, 31), (31, 25), (26, 13), (5, 35), (8, 1), (36, 28), (0, 4), (5, 7), (0, 6), (23, 10), (3, 27), (20, 30), (28, 12), (12, 1), (29, 36), (34, 8), (14, 13), (2, 2), (26, 31), (26, 32), (23, 12), (35, 22), (10, 21), (28, 0), (22, 2), (8, 4), (16, 13), (30, 8), (34, 17), (10, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 1), (23, 8), (8, 14), (31, 25), (9, 27), (5, 4), (18, 22), (1, 18), (1, 22), (12, 29), (8, 6), (2, 6), (10, 10), (28, 7), (20, 18), (27, 13), (25, 9), (19, 10), (15, 28), (16, 22), (9, 7), (30, 8), (10, 7), (29, 12), (28, 8), (13, 9), (9, 17), (13, 4), (10, 15), (7, 9), (29, 14), (13, 18), (18, 2), (15, 25), (26, 21), (18, 11), (22, 16), (25, 7), (14, 2), (27, 18), (19, 0), (4, 5), (30, 9), (1, 11), (30, 21), (15, 3), (23, 28), (19, 8), (12, 8), (22, 27), (11, 1), (28, 24), (2, 22), (29, 10), (27, 27), (9, 29), (4, 2), (29, 0), (4, 21), (13, 21), (15, 4), (8, 29), (2, 28), (14, 12), (24, 18), (18, 3), (0, 23), (29, 20), (2, 9), (22, 15), (28, 21), (28, 27), (23, 15), (21, 11), (24, 12), (0, 20), (4, 19), (8, 11), (10, 28), (28, 18), (17, 16), (28, 16), (22, 14), (16, 28), (28, 20), (1, 7), (10, 24), (8, 20), (30, 17), (15, 13), (27, 24), (29, 26), (19, 7), (3, 3), (11, 13), (27, 1), (21, 25), (10, 0), (13, 23), (26, 1), (12, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 32x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 9), (15, 32), (13, 2), (9, 11), (14, 32), (2, 26), (5, 27), (2, 7), (8, 13), (2, 3), (4, 20), (29, 25), (15, 12), (1, 28), (7, 3), (30, 8), (27, 14), (0, 32), (17, 15), (3, 9), (28, 16), (7, 31), (6, 21), (16, 23), (10, 18), (9, 0), (10, 20), (26, 21), (1, 24), (28, 32), (1, 0), (30, 10), (14, 5), (0, 9), (21, 11), (13, 1), (4, 8), (20, 31), (18, 21), (31, 28), (8, 30), (23, 19), (3, 6), (10, 7), (5, 5), (9, 16), (1, 14), (29, 6), (2, 17), (5, 14), (2, 2), (31, 2), (25, 14), (6, 29), (1, 6), (14, 22), (4, 31), (5, 3), (7, 32), (15, 18), (29, 30), (6, 9), (12, 19), (16, 27), (20, 23), (31, 6), (19, 21), (15, 9), (9, 24), (12, 0), (5, 12), (20, 5), (11, 4), (18, 14), (28, 29), (16, 29), (19, 25), (16, 14), (3, 1), (24, 18), (18, 27), (3, 29), (19, 19), (20, 20), (30, 12), (11, 8), (8, 15), (18, 8), (9, 14), (23, 12), (19, 32), (22, 2), (24, 30), (5, 7), (21, 7), (7, 26), (24, 24), (12, 14), (29, 11), (3, 28), (13, 6), (5, 13), (20, 16), (23, 32), (19, 1), (6, 2), (3, 18), (19, 0), (24, 7), (29, 0), (20, 26), (9, 12), (26, 15), (5, 32), (26, 4), (22, 27), (2, 8), (6, 10), (30, 23), (30, 15), (17, 29), (19, 7), (31, 24), (31, 18), (17, 2), (20, 2), (11, 20), (19, 3), (24, 9), (6, 26), (28, 2), (6, 4), (16, 17), (11, 14), (11, 5), (23, 29), (2, 30), (23, 17), (17, 20), (27, 28), (24, 28), (28, 7), (8, 16), (4, 30), (2, 25), (5, 24), (25, 32), (31, 10), (19, 20), (31, 5), (19, 6), (18, 2), (20, 21), (28, 25), (19, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 15), (15, 9), (19, 16), (8, 24), (7, 9), (2, 22), (27, 30), (17, 8), (27, 32), (14, 21), (19, 24), (3, 31), (30, 6), (23, 14), (7, 10), (31, 14), (34, 5), (2, 11), (35, 17), (28, 24), (5, 16), (34, 24), (14, 17), (13, 0), (25, 25), (27, 7), (29, 12), (23, 0), (31, 1), (33, 21), (12, 33), (5, 32), (12, 17), (30, 25), (4, 18), (3, 20), (24, 0), (4, 8), (25, 0), (19, 5), (22, 32), (25, 19), (19, 15), (26, 22), (22, 25), (17, 15), (4, 12), (1, 29), (4, 25), (22, 7), (32, 12), (6, 18), (5, 6), (21, 1), (9, 30), (34, 18), (21, 9), (16, 5), (3, 4), (20, 28), (28, 22), (31, 3), (2, 29), (19, 1), (2, 8), (25, 31), (28, 0), (16, 8), (0, 23), (12, 1), (22, 29), (25, 23), (1, 31), (12, 8), (17, 12), (33, 10), (23, 21), (29, 25), (31, 17), (3, 21), (11, 6), (23, 32), (2, 13), (3, 16), (16, 33), (26, 8), (19, 0), (1, 19), (0, 4), (32, 9), (5, 9), (6, 10), (31, 20), (14, 7), (20, 6), (26, 7), (8, 27), (7, 30), (5, 1), (10, 7), (34, 20), (11, 0), (11, 18), (13, 17), (9, 16), (15, 33), (2, 21), (25, 6), (20, 32), (18, 20), (21, 30), (14, 2), (12, 10), (29, 8), (23, 28), (0, 30), (6, 13), (19, 11), (29, 15), (12, 18), (18, 32), (13, 2), (5, 10), (19, 10), (23, 5), (12, 31), (0, 10), (6, 22), (17, 28), (20, 17), (20, 31), (24, 11), (27, 21), (30, 11), (28, 2), (8, 20), (7, 4), (8, 31), (13, 27), (3, 13), (15, 20), (32, 28), (34, 15), (29, 5), (21, 31), (9, 31), (14, 31), (31, 11), (3, 27), (31, 9), (30, 30), (28, 8), (28, 31), (19, 17), (0, 7), (31, 22), (11, 14), (2, 32), (9, 8), (23, 23), (22, 21), (26, 4), (4, 26), (2, 9), (11, 9), (29, 7), (22, 8), (26, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 6), (5, 31), (15, 22), (19, 12), (31, 30), (19, 23), (8, 28), (32, 3), (28, 11), (33, 7), (11, 10), (27, 12), (28, 23), (13, 12), (22, 28), (12, 14), (22, 14), (1, 3), (10, 11), (8, 12), (4, 31), (6, 7), (1, 1), (17, 16), (34, 25), (35, 2), (31, 26), (20, 3), (26, 10), (18, 23), (13, 23), (15, 31), (13, 21), (2, 9), (33, 17), (33, 18), (24, 3), (18, 22), (30, 3), (5, 28), (34, 6), (18, 7), (6, 4), (16, 10), (17, 6), (26, 26), (5, 5), (12, 11), (16, 25), (28, 2), (19, 8), (25, 27), (15, 12), (24, 12), (10, 4), (5, 6), (32, 27), (35, 7), (11, 19), (27, 30), (4, 32), (29, 23), (8, 26), (5, 26), (3, 21), (1, 7), (7, 22), (21, 12), (33, 26), (9, 27), (34, 2), (9, 21), (22, 23), (26, 11), (4, 20), (21, 23), (1, 25), (9, 14), (22, 10), (3, 3), (27, 20), (16, 27), (4, 24), (14, 23), (8, 27), (3, 25), (35, 19), (31, 18), (15, 0), (13, 24), (6, 28), (1, 28), (3, 16), (17, 1), (20, 0), (20, 10), (21, 25), (16, 14), (16, 28), (29, 13), (35, 31), (30, 21), (13, 8), (10, 31), (24, 17), (20, 4), (15, 11), (6, 1), (31, 0), (0, 11), (7, 2), (34, 14), (22, 19), (30, 16), (31, 7), (3, 31), (6, 25), (7, 23), (0, 21), (10, 21), (14, 16), (27, 13), (3, 9), (17, 4), (0, 31), (1, 0), (26, 18), (6, 26), (7, 8), (8, 0), (29, 31), (25, 32), (25, 6), (35, 13), (15, 16), (30, 13), (32, 14), (0, 15), (5, 1), (5, 8), (1, 2), (10, 7), (15, 14), (17, 23), (34, 27), (24, 23), (27, 5), (8, 6), (29, 1), (23, 7), (8, 18), (14, 18), (26, 15), (16, 18), (27, 7), (29, 0), (1, 31), (0, 32), (25, 25), (15, 5), (6, 5), (2, 30), (14, 22), (32, 11), (23, 21), (5, 10), (29, 21), (9, 10), (33, 21), (7, 19), (11, 31), (30, 9), (33, 1), (10, 1), (2, 8), (10, 25), (28, 7), (26, 7), (12, 1), (27, 15), (6, 20), (16, 26), (34, 31), (11, 0), (20, 17), (16, 12), (15, 4), (34, 28), (17, 10), (9, 26), (16, 17), (7, 21), (32, 32), (9, 5), (3, 24), (24, 32), (6, 16), (16, 22), (21, 18), (32, 22), (27, 9), (4, 13), (21, 0), (29, 3), (35, 25), (2, 29), (5, 27), (9, 2), (5, 12), (22, 27), (22, 6), (11, 28), (30, 28), (33, 19), (28, 15), (0, 9), (2, 24), (8, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 0), (21, 16), (27, 2), (21, 6), (34, 23), (7, 8), (11, 19), (18, 11), (21, 17), (29, 14), (17, 29), (13, 5), (23, 23), (15, 17), (5, 1), (27, 12), (34, 30), (21, 28), (25, 12), (32, 2), (2, 7), (13, 10), (2, 14), (8, 0), (3, 34), (30, 3), (20, 21), (31, 12), (20, 33), (2, 34), (32, 10), (30, 24), (3, 2), (2, 29), (32, 12), (8, 27), (2, 37), (32, 17), (15, 19), (2, 12), (10, 11), (31, 36), (25, 14), (3, 25), (23, 33), (11, 5), (20, 12), (8, 6), (0, 28), (33, 13), (15, 6), (17, 3), (0, 11), (33, 27), (5, 20), (6, 36), (33, 16), (1, 27), (0, 29), (16, 12), (32, 18), (32, 4), (16, 0), (13, 15), (1, 13), (19, 8), (10, 1), (27, 28), (26, 22), (2, 35), (20, 22), (19, 14), (1, 19), (12, 19), (14, 16), (12, 18), (31, 16), (33, 26), (12, 3), (1, 15), (34, 1), (18, 2), (6, 22), (20, 11), (13, 24), (9, 2), (16, 14), (15, 36), (4, 12), (8, 37), (0, 30), (17, 36), (28, 30), (19, 27), (8, 12), (15, 13), (2, 18), (19, 31), (28, 15), (7, 26), (0, 7), (25, 36), (14, 17), (25, 37), (13, 28), (28, 21), (33, 0), (12, 31), (27, 19), (20, 27), (18, 33), (20, 18), (11, 16), (3, 0), (1, 10), (4, 18), (17, 0), (15, 11), (28, 0), (21, 34), (34, 11), (0, 2), (22, 36), (4, 16), (27, 15), (9, 7), (21, 24), (24, 18), (28, 33), (3, 28), (30, 5), (12, 13), (0, 37), (22, 9), (34, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 7), (15, 0), (25, 35), (17, 21), (7, 10), (29, 5), (25, 15), (3, 1), (18, 19), (25, 9), (16, 1), (28, 35), (7, 21), (24, 25), (4, 5), (10, 7), (20, 30), (21, 37), (30, 3), (20, 35), (12, 19), (5, 6), (13, 36), (16, 2), (5, 8), (12, 7), (29, 18), (4, 30), (26, 37), (21, 24), (27, 0), (16, 30), (22, 1), (31, 6), (25, 32), (18, 4), (16, 11), (26, 32), (12, 33), (3, 20), (5, 19), (31, 13), (25, 12), (17, 20), (13, 6), (31, 1), (8, 8), (24, 18), (5, 30), (17, 18), (4, 1), (15, 27), (25, 4), (9, 27), (1, 17), (23, 11), (28, 32), (29, 37), (10, 34), (25, 7), (26, 7), (13, 26), (23, 22), (28, 11), (29, 28), (3, 36), (12, 14), (18, 28), (30, 15), (10, 8), (16, 17), (20, 12), (6, 37), (5, 12), (13, 22), (26, 24), (14, 17), (15, 13), (15, 1), (11, 6), (17, 10), (11, 5), (0, 20), (28, 27), (21, 25), (16, 35), (30, 6), (6, 12), (25, 3), (11, 24), (13, 27), (15, 9), (1, 26), (20, 36), (24, 15), (2, 11), (15, 31), (20, 28), (6, 9), (14, 18), (5, 3), (0, 17), (20, 14), (25, 18), (30, 12), (4, 16), (13, 28), (1, 5), (25, 31), (20, 6), (0, 6), (18, 36), (29, 14), (22, 33), (7, 5), (15, 30), (5, 37), (16, 10), (14, 11), (0, 30), (30, 21), (20, 19), (3, 3), (5, 22), (1, 19), (6, 22), (13, 19), (8, 30), (26, 36), (12, 35), (20, 18), (10, 29), (14, 30), (16, 9), (15, 23), (11, 21), (13, 24), (19, 34), (8, 15), (25, 34), (6, 26), (2, 23), (2, 35), (23, 33), (2, 20), (4, 24), (1, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 36x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 27), (16, 21), (10, 20), (1, 28), (2, 16), (30, 21), (1, 14), (34, 4), (21, 12), (13, 17), (8, 12), (22, 34), (33, 35), (9, 3), (24, 15), (13, 30), (31, 22), (23, 16), (23, 30), (7, 10), (6, 10), (8, 1), (27, 20), (29, 2), (13, 22), (22, 15), (16, 19), (4, 16), (28, 24), (35, 23), (35, 13), (34, 27), (17, 27), (7, 20), (12, 21), (24, 35), (17, 34), (8, 7), (17, 6), (15, 20), (21, 1), (18, 18), (35, 28), (32, 29), (12, 35), (34, 25), (19, 31), (27, 23), (14, 9), (12, 1), (33, 6), (19, 0), (1, 11), (34, 12), (21, 13), (10, 33), (33, 3), (8, 33), (20, 1), (25, 15), (4, 28), (35, 27), (28, 30), (10, 29), (10, 2), (17, 16), (29, 3), (35, 1), (20, 17), (17, 0), (11, 30), (35, 9), (23, 8), (2, 21), (15, 12), (34, 15), (31, 11), (4, 12), (27, 29), (0, 15), (28, 8), (20, 32), (6, 22), (17, 8), (30, 17), (19, 8), (13, 11), (33, 13), (31, 17), (34, 26), (35, 7), (27, 16), (35, 17), (3, 17), (16, 34), (22, 14), (32, 6), (31, 34), (3, 10), (20, 4), (25, 8), (29, 22), (28, 35), (29, 32), (18, 2), (9, 18), (2, 4), (26, 26), (19, 3), (2, 31), (25, 10), (32, 4), (33, 34), (5, 19), (17, 11), (24, 5), (30, 22), (5, 22), (0, 19), (8, 14), (16, 0), (22, 32), (29, 1), (25, 4), (2, 14), (4, 29), (28, 32), (16, 3), (3, 29), (12, 17), (31, 19), (24, 3), (30, 33), (22, 20), (30, 0), (20, 11), (31, 7), (25, 32), (1, 35), (17, 32), (12, 6), (0, 18), (9, 25), (9, 6), (35, 16), (27, 9), (34, 14), (3, 32), (35, 4), (9, 21), (0, 26), (8, 2), (11, 32), (31, 3), (13, 24), (32, 32), (4, 3), (3, 13), (5, 33), (29, 16), (25, 23), (14, 26), (20, 24), (23, 25), (23, 3), (22, 3), (14, 11), (27, 33), (17, 31), (11, 17), (14, 30), (19, 20), (14, 8), (31, 21), (3, 2), (31, 15), (3, 26), (3, 18), (18, 0), (18, 22), (32, 27), (1, 8), (21, 26), (29, 27), (25, 33), (24, 4), (4, 17), (14, 21), (13, 13), (6, 21), (1, 0), (28, 0), (25, 27), (0, 17), (4, 7), (2, 25), (26, 4), (20, 0), (0, 29), (25, 7), (26, 33), (6, 13), (14, 22), (16, 29), (27, 24), (27, 28), (4, 34), (17, 22), (13, 31), (21, 34), (8, 20), (3, 1), (11, 8), (14, 35), (6, 8), (27, 26), (35, 3), (27, 31), (17, 2), (22, 11), (29, 15), (16, 33), (33, 12), (18, 15), (10, 11), (2, 5), (1, 23), (7, 23), (27, 1), (28, 23), (27, 2), (17, 20), (11, 18), (33, 17), (34, 11), (8, 24), (24, 24), (28, 31), (17, 17), (3, 28), (18, 9), (23, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 11), (29, 35), (15, 35), (18, 18), (10, 18), (27, 28), (7, 26), (24, 35), (10, 36), (16, 9), (8, 19), (14, 21), (13, 29), (12, 25), (2, 14), (22, 5), (23, 4), (3, 35), (4, 15), (30, 22), (22, 31), (9, 20), (21, 24), (30, 1), (9, 16), (11, 30), (1, 38), (26, 20), (6, 1), (3, 1), (10, 32), (4, 0), (16, 30), (3, 34), (3, 23), (20, 32), (9, 14), (23, 24), (27, 18), (13, 9), (22, 33), (9, 12), (20, 25), (24, 4), (29, 31), (21, 26), (7, 37), (14, 10), (24, 7), (21, 18), (7, 17), (14, 23), (18, 33), (5, 37), (24, 27), (16, 0), (11, 14), (0, 27), (7, 0), (26, 10), (7, 11), (10, 7), (13, 37), (1, 33), (12, 28), (15, 36), (7, 35), (12, 21), (1, 3), (8, 2), (23, 23), (20, 38), (14, 19), (7, 15), (11, 31), (19, 37), (15, 22), (24, 33), (26, 6), (11, 24), (14, 1), (27, 16), (5, 35), (23, 5), (0, 7), (25, 7), (6, 34), (10, 26), (27, 21), (1, 19), (0, 34), (13, 21), (30, 9), (12, 14), (14, 2), (9, 36), (29, 5), (8, 6), (25, 0), (7, 27), (8, 15), (11, 18), (27, 33), (7, 4), (15, 10), (13, 16), (28, 9), (18, 31), (18, 13), (30, 18), (3, 9), (16, 33), (21, 22), (19, 4), (10, 19), (11, 22), (25, 37), (25, 15), (6, 36), (26, 32), (29, 16), (0, 22), (4, 24), (7, 32), (19, 22), (18, 29), (2, 16), (15, 29), (17, 31), (6, 27), (27, 8), (24, 8), (4, 5), (27, 19), (8, 12), (17, 13), (14, 31), (23, 7), (15, 12), (28, 20), (30, 35), (13, 14), (20, 7), (9, 17), (25, 32), (30, 26), (16, 26), (5, 32), (9, 10), (20, 26), (25, 27), (4, 12), (27, 25), (20, 22), (14, 34), (13, 27), (26, 23), (8, 4), (3, 31), (7, 25), (8, 27), (24, 0), (9, 19), (24, 38), (5, 11), (10, 37), (2, 35), (4, 14), (4, 27), (9, 24), (11, 29), (11, 15), (16, 37), (28, 14), (22, 0), (11, 11), (21, 31), (29, 10), (13, 28), (18, 27), (24, 30), (1, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 26), (17, 5), (10, 11), (25, 25), (16, 7), (9, 7), (10, 10), (5, 0), (8, 6), (19, 30), (12, 18), (15, 8), (13, 15), (30, 0), (9, 8), (27, 30), (24, 25), (30, 23), (9, 30), (31, 6), (26, 9), (31, 22), (5, 30), (21, 28), (15, 4), (24, 23), (23, 0), (0, 25), (13, 25), (12, 14), (5, 11), (10, 28), (10, 5), (20, 16), (22, 11), (23, 15), (14, 25), (1, 17), (22, 13), (30, 3), (6, 11), (6, 22), (6, 13), (29, 5), (16, 12), (14, 0), (23, 29), (0, 2), (14, 7), (28, 0), (31, 20), (27, 5), (17, 14), (15, 29), (14, 17), (24, 17), (26, 27), (13, 18), (23, 28), (7, 11), (19, 18), (22, 10), (12, 21), (9, 28), (15, 30), (26, 11), (20, 15), (26, 28), (4, 4), (30, 18), (26, 5), (17, 22), (27, 7), (2, 1), (14, 4), (28, 16), (20, 24), (28, 26), (5, 5), (18, 10), (23, 26), (13, 20), (6, 7), (4, 10), (14, 3), (1, 8), (29, 10), (8, 9), (5, 18), (4, 26), (9, 11), (11, 29), (20, 21), (24, 3), (31, 16), (31, 14), (6, 21), (0, 5), (21, 0), (31, 13), (10, 21), (6, 4), (25, 30), (11, 22), (32, 12), (5, 3), (26, 19), (24, 5), (28, 5), (2, 16), (9, 14), (18, 5), (19, 8), (11, 12), (20, 3), (3, 10), (4, 16), (6, 10), (26, 12), (4, 30), (14, 28), (12, 12), (3, 11), (21, 17), (19, 13), (13, 1), (16, 18), (31, 17), (13, 6), (4, 9), (1, 1), (22, 6), (14, 24), (11, 6), (9, 1), (6, 30), (19, 10), (12, 29), (30, 25), (11, 3), (30, 1), (17, 19), (28, 22), (15, 9), (23, 3), (14, 2), (8, 20), (23, 9), (25, 13), (28, 29), (13, 4), (15, 21), (3, 30), (11, 26), (9, 18), (29, 15), (8, 0), (17, 16), (5, 10), (24, 2), (23, 10), (3, 29), (17, 23), (31, 26), (29, 2), (5, 19), (30, 13), (29, 8), (25, 23), (27, 11), (27, 23), (23, 14), (20, 29), (3, 4), (6, 1), (30, 5), (32, 10), (22, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 37x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 9), (34, 4), (28, 34), (7, 22), (14, 37), (4, 8), (5, 23), (25, 20), (12, 28), (24, 7), (35, 25), (15, 23), (20, 2), (18, 16), (5, 0), (11, 28), (7, 8), (6, 17), (35, 16), (15, 7), (5, 10), (32, 7), (10, 35), (34, 34), (0, 4), (33, 2), (25, 24), (2, 24), (30, 31), (21, 28), (27, 30), (3, 12), (12, 36), (4, 33), (33, 30), (8, 36), (25, 1), (17, 17), (26, 6), (2, 37), (2, 2), (21, 26), (6, 19), (29, 0), (27, 25), (17, 6), (6, 7), (29, 11), (35, 37), (19, 24), (36, 0), (3, 4), (7, 26), (26, 27), (18, 13), (25, 11), (3, 31), (29, 17), (4, 23), (17, 16), (16, 32), (7, 17), (20, 27), (27, 15), (17, 23), (4, 11), (25, 25), (1, 34), (21, 7), (3, 2), (27, 16), (18, 22), (7, 4), (23, 11), (4, 29), (6, 32), (15, 19), (31, 26), (27, 29), (8, 11), (30, 6), (25, 31), (3, 32), (34, 30), (16, 3), (8, 4), (10, 25), (20, 21), (21, 20), (31, 20), (23, 8), (11, 7), (12, 21), (5, 24), (9, 18), (18, 36), (7, 3), (8, 16), (17, 11), (2, 19), (4, 4), (7, 29), (24, 16), (10, 19), (18, 0), (29, 37), (10, 24), (23, 19), (25, 28), (4, 16), (31, 31), (33, 13), (1, 23), (13, 23), (6, 3), (4, 18), (19, 36), (18, 20), (33, 22), (1, 0), (12, 8), (8, 20), (4, 15), (36, 4), (25, 8), (19, 22), (5, 13), (5, 29), (28, 26), (13, 24), (4, 22), (24, 21), (7, 6), (20, 37), (31, 14), (11, 30), (5, 32), (10, 13), (29, 14), (25, 6), (8, 32), (24, 12), (2, 26), (22, 32), (29, 20), (25, 7), (9, 31), (13, 14), (36, 10), (9, 32), (12, 29), (14, 26), (33, 36), (27, 8), (30, 16), (13, 1), (8, 23), (1, 35), (26, 35), (1, 6), (28, 31), (25, 10), (6, 20), (30, 10), (34, 9), (31, 36), (25, 26), (26, 4), (15, 14), (32, 35), (30, 14), (15, 6), (9, 36), (29, 35), (22, 19), (29, 3), (18, 11), (32, 9), (11, 6), (12, 22), (18, 10), (0, 14), (6, 24), (3, 26), (25, 14), (26, 31), (27, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 16), (16, 1), (7, 18), (10, 26), (27, 23), (2, 29), (13, 34), (25, 29), (10, 3), (16, 10), (27, 27), (21, 17), (3, 35), (24, 36), (22, 35), (28, 8), (4, 32), (0, 17), (15, 7), (1, 9), (29, 23), (3, 5), (28, 1), (10, 5), (23, 28), (13, 10), (21, 30), (14, 29), (23, 17), (13, 25), (22, 26), (1, 18), (4, 14), (12, 0), (18, 28), (9, 7), (9, 14), (29, 31), (26, 34), (21, 23), (11, 16), (5, 25), (21, 10), (14, 7), (4, 11), (17, 1), (0, 20), (0, 23), (4, 23), (12, 24), (19, 33), (5, 28), (10, 12), (22, 6), (7, 24), (28, 22), (20, 8), (26, 9), (19, 13), (28, 25), (23, 3), (28, 4), (15, 15), (11, 0), (18, 34), (20, 19), (10, 20), (15, 17), (10, 23), (20, 33), (12, 12), (5, 18), (21, 1), (7, 19), (12, 19), (3, 33), (7, 23), (22, 17), (23, 20), (3, 19), (4, 9), (23, 23), (6, 2), (8, 35), (12, 17), (14, 35), (9, 20), (12, 1), (20, 17), (15, 11), (27, 12), (15, 28), (23, 18), (4, 1), (20, 35), (5, 29), (24, 22), (26, 21), (27, 19), (22, 32), (27, 31), (2, 30), (0, 36), (12, 9), (13, 17), (1, 17), (13, 16), (25, 14), (20, 4), (23, 14), (14, 24), (6, 34), (2, 18), (19, 0), (14, 27), (2, 32), (19, 6), (2, 27), (19, 22), (19, 8), (0, 3), (19, 35), (20, 27), (1, 16), (13, 19), (13, 28), (8, 30), (10, 2), (6, 19), (23, 31), (14, 15), (7, 2), (29, 4), (26, 31), (17, 10), (18, 0), (27, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 27), (0, 2), (18, 18), (30, 26), (8, 20), (11, 1), (14, 14), (15, 27), (4, 12), (19, 18), (13, 31), (22, 24), (4, 25), (21, 29), (26, 17), (23, 2), (14, 24), (18, 17), (22, 18), (20, 12), (0, 23), (7, 24), (21, 28), (19, 3), (13, 11), (10, 8), (27, 4), (26, 7), (30, 3), (7, 25), (29, 21), (6, 8), (15, 16), (27, 29), (1, 31), (5, 13), (26, 24), (30, 0), (24, 26), (14, 6), (29, 32), (23, 19), (19, 7), (2, 30), (6, 25), (21, 17), (27, 31), (29, 2), (18, 19), (22, 5), (2, 27), (26, 30), (20, 31), (24, 8), (21, 5), (3, 24), (30, 24), (26, 14), (20, 27), (19, 28), (3, 17), (21, 24), (18, 12), (3, 14), (23, 24), (12, 1), (9, 4), (12, 5), (11, 13), (26, 6), (2, 14), (7, 30), (24, 28), (3, 1), (19, 1), (0, 3), (12, 3), (0, 4), (18, 25), (2, 16), (29, 4), (3, 20), (16, 32), (12, 22), (2, 7), (18, 0), (11, 0), (7, 15), (3, 10), (21, 15), (20, 17), (28, 10), (12, 6), (24, 21), (30, 11), (23, 26), (12, 7), (1, 27), (18, 16), (26, 20), (12, 28), (25, 22), (14, 22), (25, 6), (30, 29), (10, 24), (23, 14), (7, 8), (14, 29), (12, 13), (30, 22), (19, 30), (28, 14), (24, 20), (25, 3), (22, 32), (16, 30), (16, 2), (29, 26), (23, 7), (29, 9), (9, 25), (23, 21), (12, 4), (17, 15), (27, 6), (20, 2), (3, 6), (15, 31), (12, 29), (30, 28), (22, 25), (24, 13), (11, 8), (2, 12), (24, 18), (7, 18), (9, 11), (27, 32), (20, 20), (28, 15), (16, 7), (17, 24), (20, 30), (27, 12), (12, 31), (29, 25), (25, 31), (30, 17), (24, 23), (21, 30), (18, 2), (8, 3), (1, 17), (11, 24), (18, 8), (23, 4), (18, 28), (2, 6), (11, 4), (1, 5), (5, 25), (19, 24), (3, 27), (6, 21), (29, 8), (25, 26), (7, 29), (11, 32), (23, 5), (4, 1), (25, 2), (27, 7), (29, 27), (30, 21), (4, 9), (22, 4), (13, 32), (16, 1), (16, 11), (30, 7), (22, 31), (16, 17), (24, 15), (4, 28), (22, 12), (26, 27), (5, 24), (18, 4), (15, 30), (19, 8), (13, 4), (8, 16), (19, 21), (22, 2), (13, 12), (9, 12), (8, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 26), (13, 21), (3, 12), (16, 7), (1, 9), (28, 12), (21, 15), (12, 1), (1, 1), (21, 27), (16, 30), (20, 24), (24, 20), (4, 2), (1, 25), (5, 12), (27, 20), (25, 11), (15, 19), (21, 29), (18, 13), (1, 3), (11, 16), (25, 6), (14, 23), (23, 20), (5, 16), (23, 27), (8, 3), (14, 4), (23, 19), (6, 19), (24, 10), (11, 6), (8, 11), (17, 12), (7, 4), (18, 3), (19, 11), (25, 0), (12, 27), (1, 5), (5, 10), (14, 10), (18, 28), (28, 13), (28, 18), (18, 33), (4, 22), (12, 10), (25, 33), (26, 11), (11, 15), (13, 9), (0, 5), (21, 31), (6, 16), (1, 4), (2, 19), (23, 8), (23, 10), (3, 31), (13, 15), (0, 3), (16, 29), (21, 5), (27, 19), (21, 32), (0, 21), (14, 2), (18, 16), (21, 4), (4, 6), (18, 30), (5, 5), (24, 22), (15, 3), (0, 28), (11, 12), (24, 27), (15, 4), (0, 9), (18, 29), (19, 17), (16, 21), (28, 3), (29, 8), (19, 33), (12, 11), (16, 8), (28, 0), (0, 31), (0, 4), (19, 4), (17, 17), (4, 25), (29, 13), (17, 14), (27, 13), (2, 3), (3, 25), (18, 23), (0, 17), (29, 2), (7, 33), (27, 7), (22, 22), (13, 4), (11, 24), (6, 21), (10, 5), (3, 33), (6, 22), (23, 14), (15, 7), (22, 27), (28, 32), (23, 13), (22, 15), (6, 33), (5, 2), (23, 31), (0, 30), (17, 33), (20, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 36x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 3), (7, 31), (3, 7), (23, 14), (11, 29), (1, 16), (0, 27), (3, 14), (29, 11), (28, 20), (1, 8), (19, 28), (17, 30), (18, 15), (5, 2), (27, 20), (4, 27), (10, 10), (22, 29), (26, 19), (11, 12), (29, 29), (16, 30), (24, 15), (26, 2), (3, 26), (20, 26), (31, 12), (12, 22), (23, 12), (25, 31), (20, 31), (18, 8), (14, 19), (19, 27), (16, 5), (19, 22), (1, 9), (1, 17), (11, 10), (4, 13), (12, 3), (15, 19), (13, 19), (2, 26), (6, 29), (31, 30), (13, 4), (34, 24), (26, 30), (11, 4), (2, 21), (23, 15), (26, 16), (13, 2), (8, 27), (19, 4), (17, 27), (22, 33), (26, 27), (8, 14), (5, 33), (2, 9), (17, 14), (11, 7), (28, 11), (15, 6), (22, 2), (19, 7), (14, 28), (25, 1), (19, 5), (19, 26), (10, 33), (13, 5), (2, 33), (9, 18), (15, 7), (21, 13), (0, 10), (23, 3), (14, 12), (8, 28), (6, 4), (34, 15), (16, 25), (17, 13), (1, 19), (24, 31), (30, 19), (15, 31), (22, 15), (33, 31), (16, 15), (21, 9), (3, 32), (5, 27), (32, 3), (10, 21), (19, 25), (5, 14), (28, 13), (29, 25), (16, 12), (14, 9), (15, 28), (2, 15), (9, 29), (4, 16), (19, 18), (25, 24), (9, 6), (25, 9), (24, 7), (20, 29), (0, 14), (3, 19), (11, 13), (30, 2), (2, 20), (12, 14), (21, 7), (15, 26), (8, 12), (14, 8), (18, 31), (27, 27), (2, 12), (5, 21), (20, 27), (23, 21), (7, 9), (28, 29), (19, 14), (34, 16), (19, 8), (30, 29), (10, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 26), (22, 1), (19, 24), (7, 11), (28, 25), (15, 1), (9, 16), (5, 10), (10, 14), (28, 17), (9, 5), (8, 20), (0, 22), (0, 28), (17, 1), (30, 15), (9, 26), (27, 5), (24, 24), (3, 7), (6, 14), (21, 8), (25, 14), (22, 28), (7, 23), (15, 3), (16, 29), (11, 4), (11, 16), (30, 11), (17, 17), (1, 4), (5, 29), (18, 21), (5, 20), (0, 6), (18, 27), (29, 6), (16, 22), (2, 3), (12, 26), (3, 18), (20, 23), (23, 4), (12, 23), (16, 7), (21, 5), (10, 3), (22, 13), (22, 26), (28, 12), (28, 4), (23, 8), (21, 4), (4, 1), (16, 5), (4, 13), (2, 23), (29, 5), (4, 22), (20, 21), (14, 24), (2, 21), (10, 15), (29, 14), (14, 17), (21, 27), (23, 15), (19, 5), (21, 29), (11, 6), (4, 18), (29, 1), (9, 29), (19, 20), (13, 26), (17, 7), (13, 15), (10, 26), (14, 4), (5, 0), (6, 3), (26, 20), (28, 23), (9, 7), (14, 19), (2, 12), (16, 21), (27, 3), (19, 6), (14, 6), (25, 10), (15, 16), (26, 26), (29, 15), (6, 4), (19, 9), (16, 24), (4, 23), (26, 9), (0, 23), (21, 10), (13, 16), (28, 24), (5, 23), (0, 15), (14, 7), (16, 15), (28, 16), (9, 2), (22, 29), (27, 14), (25, 22), (24, 7), (17, 19), (9, 14), (26, 17), (14, 15), (29, 16), (20, 5), (6, 16), (1, 9), (25, 9), (27, 15), (6, 9), (19, 17), (16, 16), (15, 11), (26, 18), (27, 21), (0, 14), (23, 18), (6, 23), (26, 21), (10, 4), (11, 13), (17, 24), (7, 28), (24, 26), (20, 10), (16, 26), (29, 3), (17, 2), (14, 0), (13, 0), (3, 17), (28, 29), (17, 13), (18, 2), (5, 16), (28, 15), (2, 18), (16, 8), (23, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 12), (30, 20), (18, 4), (13, 32), (12, 28), (10, 29), (6, 20), (17, 1), (23, 28), (22, 5), (24, 17), (6, 16), (15, 6), (4, 30), (21, 24), (15, 3), (18, 0), (17, 28), (27, 17), (3, 4), (8, 19), (29, 14), (23, 12), (22, 14), (23, 30), (22, 4), (27, 11), (23, 15), (2, 13), (24, 26), (15, 32), (6, 14), (4, 13), (29, 8), (9, 22), (12, 25), (27, 6), (5, 18), (1, 2), (26, 16), (6, 8), (1, 11), (3, 30), (27, 21), (7, 8), (5, 12), (3, 0), (24, 27), (16, 6), (24, 10), (16, 12), (11, 15), (31, 31), (28, 4), (27, 9), (15, 21), (19, 16), (11, 0), (4, 12), (10, 2), (4, 22), (21, 22), (30, 22), (25, 23), (3, 29), (15, 24), (7, 0), (26, 23), (24, 9), (31, 28), (23, 7), (14, 25), (22, 15), (29, 4), (18, 27), (12, 9), (3, 19), (31, 6), (25, 15), (13, 16), (7, 29), (26, 12), (24, 13), (4, 31), (32, 24), (6, 23), (7, 27), (16, 18), (4, 27), (21, 10), (24, 6), (27, 20), (28, 18), (3, 11), (24, 7), (4, 2), (16, 31), (11, 6), (21, 18), (12, 12), (3, 1), (14, 18), (19, 26), (5, 11), (3, 23), (21, 7), (31, 21), (2, 7), (5, 5), (10, 14), (2, 15), (9, 31), (23, 23), (27, 0), (29, 30), (6, 29), (14, 26), (7, 17), (15, 26), (3, 21), (32, 21), (11, 14), (16, 9), (13, 6), (21, 9), (29, 22), (22, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 10), (32, 12), (1, 10), (33, 30), (6, 31), (25, 16), (26, 29), (1, 0), (23, 20), (16, 4), (1, 37), (16, 19), (25, 3), (33, 0), (18, 6), (30, 24), (7, 12), (17, 33), (16, 16), (34, 9), (25, 13), (30, 5), (21, 5), (29, 19), (3, 6), (29, 2), (30, 26), (20, 28), (27, 0), (2, 18), (29, 3), (14, 1), (26, 22), (27, 32), (20, 31), (5, 10), (27, 35), (33, 4), (6, 14), (0, 13), (18, 26), (17, 2), (28, 35), (1, 20), (33, 24), (27, 33), (18, 25), (28, 23), (21, 20), (30, 18), (20, 19), (18, 7), (15, 22), (16, 21), (7, 32), (15, 5), (10, 21), (6, 7), (9, 14), (14, 14), (27, 18), (34, 15), (35, 32), (27, 22), (12, 32), (25, 1), (27, 16), (9, 25), (22, 28), (2, 27), (17, 20), (18, 8), (14, 18), (1, 16), (35, 34), (15, 2), (20, 36), (5, 23), (16, 8), (19, 35), (30, 22), (31, 12), (6, 17), (29, 28), (4, 26), (12, 9), (33, 15), (7, 9), (13, 32), (18, 34), (18, 10), (31, 15), (30, 23), (11, 33), (25, 7), (7, 8), (9, 37), (32, 5), (2, 3), (22, 22), (25, 37), (13, 19), (14, 10), (8, 25), (12, 14), (9, 20), (16, 6), (20, 23), (2, 16), (3, 35), (9, 1), (33, 36), (8, 21), (25, 22), (9, 36), (6, 23), (4, 36), (0, 12), (25, 33), (29, 20), (14, 33), (26, 19), (19, 19), (16, 12), (14, 15), (32, 19), (2, 7), (18, 38), (18, 33), (22, 2), (16, 26), (28, 13), (16, 18), (14, 22), (15, 25), (3, 28), (27, 12), (11, 28), (24, 6), (13, 3), (29, 15), (28, 32), (23, 17), (4, 29), (14, 7), (7, 28), (14, 37), (5, 36), (11, 23), (29, 17), (18, 31), (23, 0), (3, 26), (7, 33), (35, 11), (10, 29), (14, 23), (20, 2), (17, 7), (21, 0), (13, 37), (17, 16), (24, 1), (1, 2), (14, 34), (32, 9), (34, 37), (21, 21), (15, 4), (34, 12), (7, 16), (13, 23), (26, 38), (16, 34), (18, 4), (13, 24), (6, 8), (25, 21), (29, 14), (8, 18), (4, 6), (29, 5), (22, 25), (3, 29), (33, 32), (22, 35), (34, 36), (21, 22), (10, 15), (26, 21), (34, 32), (23, 23), (21, 12), (23, 13), (30, 29), (33, 31), (4, 21), (19, 23), (23, 35), (12, 12), (13, 5), (14, 28), (1, 22), (1, 25), (6, 1), (30, 33), (24, 37), (3, 4), (28, 27), (31, 6), (26, 31), (0, 15), (10, 11), (31, 29), (16, 9), (5, 21), (18, 21), (12, 19), (23, 26), (22, 20), (9, 10), (34, 28), (7, 17), (31, 37), (6, 13), (10, 0), (7, 26), (8, 7), (9, 16), (28, 28), (4, 7), (9, 8), (4, 13), (2, 24), (3, 27), (30, 25), (16, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 31), (7, 30), (29, 0), (11, 20), (27, 24), (24, 19), (26, 34), (2, 13), (31, 8), (14, 33), (18, 19), (17, 6), (14, 16), (27, 0), (22, 26), (23, 25), (22, 15), (21, 0), (12, 23), (29, 10), (4, 21), (9, 3), (6, 17), (19, 16), (13, 5), (13, 22), (9, 17), (4, 4), (12, 30), (27, 11), (0, 31), (7, 22), (15, 32), (24, 30), (31, 7), (10, 30), (17, 24), (11, 13), (9, 34), (13, 35), (14, 5), (11, 11), (20, 28), (7, 11), (12, 13), (21, 29), (13, 11), (4, 19), (14, 35), (20, 19), (24, 14), (18, 0), (23, 26), (7, 35), (12, 6), (22, 9), (7, 20), (17, 14), (23, 1), (25, 23), (20, 14), (3, 2), (6, 11), (16, 2), (22, 14), (24, 4), (20, 32), (26, 12), (28, 5), (18, 5), (25, 21), (19, 31), (3, 0), (17, 34), (8, 35), (23, 29), (11, 3), (17, 18), (14, 14), (26, 8), (29, 2), (20, 23), (25, 29), (15, 10), (8, 16), (24, 26), (14, 13), (11, 35), (16, 17), (31, 26), (6, 34), (26, 6), (31, 1), (17, 8), (13, 16), (31, 27), (26, 24), (9, 32), (1, 4), (27, 32), (21, 12), (2, 29), (15, 29), (0, 24), (16, 1), (17, 5), (27, 1), (25, 25), (3, 5), (12, 27), (11, 18), (22, 10), (26, 0), (26, 14), (19, 22), (3, 11), (30, 28), (20, 9), (10, 20), (12, 31), (31, 0), (8, 25), (26, 13), (16, 33), (14, 6), (10, 35), (8, 3), (21, 20), (23, 20), (31, 30), (29, 32), (3, 8), (21, 10), (4, 10), (16, 19), (11, 4), (27, 16), (24, 1), (22, 11), (7, 13), (24, 12), (28, 14), (6, 8), (4, 18), (18, 4), (30, 15), (19, 30), (18, 8), (13, 0), (8, 0), (8, 26), (12, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 29), (18, 36), (23, 14), (32, 16), (18, 12), (29, 8), (24, 19), (21, 36), (11, 34), (10, 5), (38, 35), (22, 17), (18, 30), (21, 17), (23, 24), (31, 17), (5, 36), (32, 30), (9, 27), (0, 35), (38, 15), (32, 12), (20, 28), (23, 17), (30, 23), (32, 2), (22, 19), (22, 12), (29, 23), (3, 9), (25, 17), (9, 22), (22, 27), (28, 30), (37, 31), (24, 32), (4, 0), (23, 8), (23, 21), (13, 36), (0, 27), (2, 26), (23, 16), (19, 15), (25, 15), (32, 19), (34, 20), (28, 21), (20, 9), (27, 14), (34, 18), (7, 31), (7, 1), (19, 4), (15, 26), (4, 22), (0, 2), (28, 20), (10, 25), (20, 12), (13, 19), (33, 24), (8, 24), (3, 0), (34, 21), (4, 5), (16, 21), (28, 23), (34, 23), (27, 34), (36, 12), (15, 4), (1, 1), (10, 18), (36, 11), (21, 6), (31, 15), (2, 14), (11, 19), (23, 9), (7, 6), (14, 12), (29, 17), (30, 2), (29, 19), (11, 16), (9, 1), (7, 13), (9, 14), (37, 4), (16, 23), (8, 26), (19, 26), (3, 21), (8, 28), (8, 31), (29, 18), (20, 20), (35, 10), (27, 16), (25, 34), (0, 7), (33, 18), (30, 30), (30, 19), (1, 15), (13, 25), (3, 6), (2, 18), (14, 7), (18, 2), (17, 26), (19, 5), (13, 18), (17, 8), (22, 13), (25, 10), (8, 11), (12, 2), (18, 14), (1, 8), (14, 18), (1, 9), (38, 33), (19, 27), (14, 23), (0, 36), (24, 30), (38, 2), (12, 29), (7, 9), (27, 22), (38, 19), (16, 31), (30, 35), (4, 7), (37, 28), (27, 1), (0, 24), (22, 26), (12, 17), (9, 5), (37, 2), (6, 32), (25, 14), (12, 31), (11, 17), (33, 16), (9, 34), (15, 6), (1, 21), (18, 27), (9, 26), (10, 0), (12, 32), (5, 8), (11, 10), (24, 27), (14, 20), (3, 17), (9, 10), (1, 13), (33, 36), (2, 22), (38, 29), (25, 3), (14, 33), (9, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 5), (10, 5), (19, 15), (27, 21), (10, 25), (16, 12), (23, 18), (9, 11), (12, 26), (14, 8), (6, 1), (14, 28), (1, 25), (14, 16), (13, 14), (26, 30), (2, 17), (8, 27), (12, 1), (22, 20), (6, 20), (22, 1), (14, 21), (29, 27), (22, 22), (15, 21), (25, 28), (12, 17), (16, 1), (28, 27), (10, 29), (7, 8), (5, 20), (4, 19), (15, 6), (23, 10), (5, 30), (22, 28), (19, 28), (14, 5), (11, 14), (4, 20), (29, 14), (3, 24), (30, 30), (12, 15), (22, 26), (1, 6), (20, 16), (6, 8), (5, 14), (30, 27), (7, 6), (23, 30), (1, 24), (14, 0), (0, 12), (13, 19), (18, 17), (6, 19), (30, 18), (11, 17), (7, 29), (0, 26), (20, 14), (13, 17), (2, 25), (14, 25), (23, 4), (3, 22), (19, 19), (28, 31), (2, 11), (27, 26), (28, 18), (13, 9), (27, 3), (24, 16), (11, 2), (12, 4), (30, 8), (5, 1), (8, 14), (12, 18), (3, 31), (7, 4), (25, 26), (21, 24), (14, 2), (5, 28), (4, 18), (3, 27), (8, 1), (21, 30), (25, 9), (20, 4), (2, 3), (25, 31), (29, 26), (17, 27), (7, 25), (21, 22), (28, 17), (9, 15), (22, 12), (18, 25), (19, 1), (19, 24), (19, 6), (24, 10), (23, 7), (9, 14), (25, 23), (26, 13), (27, 5), (0, 28), (6, 7), (18, 31), (3, 19), (2, 8), (28, 6), (14, 10), (7, 21), (4, 23), (30, 26), (11, 4), (22, 6), (23, 23), (18, 20), (8, 30), (11, 3), (6, 30), (4, 17), (17, 26), (11, 10), (18, 6), (19, 7), (28, 5), (12, 25), (17, 15), (11, 1), (13, 3), (24, 20), (11, 31), (9, 31), (18, 24), (17, 6), (2, 13), (2, 16), (13, 26), (10, 9), (9, 23), (25, 29), (22, 0), (10, 19), (17, 8), (25, 15), (13, 21), (10, 31), (20, 11), (19, 11), (18, 19), (6, 11), (19, 13), (4, 22), (14, 6), (28, 3), (9, 1), (19, 10), (20, 18), (17, 3), (12, 13), (4, 13), (11, 29), (23, 6), (22, 2), (12, 16), (24, 15), (0, 22), (27, 7), (29, 4), (6, 17), (26, 21), (27, 2), (14, 31), (1, 3), (21, 20), (25, 18), (12, 29), (19, 30), (12, 7), (30, 19), (13, 20), (18, 27), (30, 22), (7, 18), (29, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 6), (12, 22), (11, 24), (26, 35), (2, 23), (32, 23), (3, 10), (32, 32), (25, 23), (8, 23), (14, 13), (14, 29), (32, 31), (23, 4), (10, 25), (23, 30), (12, 23), (0, 23), (21, 22), (25, 30), (13, 21), (0, 28), (1, 12), (9, 4), (12, 14), (7, 13), (8, 35), (24, 26), (33, 24), (33, 20), (18, 26), (28, 4), (23, 5), (28, 14), (32, 17), (18, 1), (22, 9), (1, 36), (23, 29), (30, 12), (9, 25), (16, 35), (1, 14), (22, 3), (9, 15), (8, 1), (22, 0), (26, 12), (6, 34), (25, 8), (32, 18), (9, 33), (30, 13), (5, 18), (7, 34), (5, 32), (19, 7), (17, 8), (20, 28), (13, 27), (4, 19), (9, 1), (27, 33), (7, 9), (32, 15), (18, 28), (31, 11), (7, 14), (2, 36), (30, 33), (24, 3), (10, 31), (31, 9), (24, 5), (11, 18), (19, 25), (24, 37), (33, 12), (13, 9), (13, 23), (8, 6), (23, 36), (5, 28), (8, 16), (2, 10), (17, 34), (30, 32), (17, 3), (20, 7), (7, 20), (7, 33), (22, 23), (10, 28), (8, 11), (23, 11), (1, 5), (32, 10), (10, 20), (4, 12), (2, 5), (0, 26), (32, 22), (18, 32), (21, 14), (15, 16), (14, 14), (6, 11), (4, 13), (6, 27), (11, 0), (10, 9), (30, 4), (32, 33), (19, 28), (22, 18), (14, 22), (16, 20), (5, 14), (16, 18), (30, 31), (13, 13), (1, 7), (9, 0), (31, 14), (10, 24), (27, 22), (23, 0), (2, 8), (27, 31), (15, 25), (25, 24), (20, 22), (28, 16), (16, 23), (31, 4), (14, 21), (28, 13), (26, 8), (7, 10), (20, 3), (25, 14), (11, 2), (20, 8), (26, 23), (18, 29), (8, 26), (10, 5), (28, 34), (9, 29), (26, 5), (15, 30), (3, 4), (27, 15), (4, 10), (31, 37), (30, 37), (15, 19), (23, 3), (25, 18), (31, 17), (30, 8), (21, 3), (15, 7), (10, 19), (32, 12), (27, 14), (25, 32), (15, 10), (3, 11), (32, 35), (25, 19), (27, 16), (16, 11), (2, 16), (27, 11), (31, 15), (28, 11), (9, 22), (19, 20), (5, 16), (17, 1), (25, 1), (11, 31), (3, 18), (9, 17), (17, 11), (5, 0), (3, 5), (33, 11), (17, 2), (26, 32), (29, 10), (8, 20), (19, 26), (22, 1), (19, 37), (25, 3), (3, 34), (0, 25), (24, 36), (33, 16), (19, 34), (15, 29), (10, 37), (8, 10), (19, 19), (3, 15), (20, 18), (11, 12), (28, 24), (32, 8), (26, 22), (16, 26), (11, 7), (1, 28), (0, 30), (2, 14), (26, 2), (2, 28), (19, 33), (24, 1), (28, 31), (33, 18), (16, 12), (0, 18), (17, 25), (13, 16), (32, 13), (9, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (35, 4), (4, 33), (28, 9), (17, 10), (12, 25), (32, 17), (22, 11), (17, 24), (7, 0), (22, 23), (3, 23), (23, 34), (32, 32), (25, 3), (27, 30), (11, 19), (9, 18), (33, 8), (15, 10), (4, 13), (3, 0), (9, 22), (3, 24), (4, 32), (15, 30), (20, 16), (6, 30), (30, 28), (17, 0), (2, 34), (16, 34), (28, 2), (20, 0), (28, 6), (8, 29), (6, 17), (6, 4), (10, 9), (33, 10), (11, 17), (10, 11), (18, 11), (15, 33), (16, 21), (25, 9), (11, 7), (17, 30), (31, 9), (21, 0), (26, 1), (5, 16), (21, 7), (13, 17), (5, 18), (26, 22), (3, 28), (19, 7), (13, 10), (4, 20), (29, 4), (25, 6), (28, 19), (26, 4), (2, 19), (32, 7), (18, 26), (0, 12), (11, 20), (15, 27), (16, 18), (31, 2), (9, 16), (19, 31), (27, 5), (5, 5), (28, 3), (8, 28), (27, 15), (17, 12), (5, 6), (31, 26), (26, 26), (24, 3), (23, 15), (0, 16), (19, 11), (2, 33), (13, 19), (23, 31), (21, 19), (16, 25), (32, 0), (33, 1), (35, 33), (22, 18), (32, 12), (30, 8), (0, 4), (10, 0), (9, 11), (12, 17), (15, 6), (23, 3), (13, 15), (26, 10), (6, 32), (5, 12), (7, 27), (9, 5), (6, 22), (23, 21), (24, 16), (11, 5), (12, 22), (14, 20), (18, 21), (20, 18), (6, 24), (4, 15), (29, 9), (27, 11), (29, 21), (17, 34), (5, 17), (33, 2), (0, 9), (32, 26), (12, 24), (3, 1), (7, 19), (24, 9), (28, 22), (10, 28), (35, 23), (24, 6), (33, 13), (1, 10), (27, 6), (12, 10), (11, 15), (10, 18), (7, 17), (20, 22), (3, 6), (32, 18), (35, 32), (14, 32), (5, 22), (9, 12), (0, 32), (19, 18), (1, 0), (23, 32), (5, 13), (24, 25), (13, 11), (34, 0), (30, 14), (21, 16), (2, 1), (33, 20), (14, 11), (30, 32), (0, 22), (28, 23), (2, 0), (20, 27), (33, 5), (25, 25), (20, 23), (8, 11), (1, 5), (5, 34), (16, 16), (26, 11), (2, 20), (4, 28), (12, 2), (32, 1), (30, 10), (6, 19), (35, 18), (17, 17), (12, 23), (22, 34), (26, 0), (8, 1), (35, 22), (16, 19), (19, 20), (26, 12), (0, 3), (19, 12), (31, 5), (1, 30), (17, 5), (3, 13), (22, 20), (25, 17), (16, 22), (2, 7), (4, 14), (33, 16), (0, 14), (0, 30), (19, 24), (26, 13), (18, 17), (20, 13), (33, 27), (6, 6), (6, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 38x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 13), (23, 24), (32, 26), (32, 14), (27, 20), (32, 18), (19, 9), (25, 21), (14, 10), (32, 17), (32, 0), (9, 25), (12, 18), (23, 32), (28, 29), (7, 15), (2, 32), (19, 15), (3, 6), (1, 20), (15, 26), (33, 0), (28, 1), (21, 31), (3, 22), (10, 12), (18, 10), (28, 21), (14, 5), (22, 3), (14, 17), (28, 15), (9, 27), (19, 24), (27, 34), (16, 6), (23, 27), (29, 13), (36, 21), (2, 24), (23, 1), (20, 19), (16, 11), (23, 16), (17, 5), (7, 14), (32, 32), (30, 25), (31, 22), (27, 17), (4, 33), (10, 1), (13, 15), (33, 24), (34, 10), (3, 20), (30, 5), (3, 8), (6, 8), (25, 24), (14, 8), (7, 21), (33, 14), (22, 34), (35, 9), (10, 11), (25, 11), (11, 8), (8, 19), (16, 19), (6, 9), (32, 34), (27, 26), (26, 35), (7, 19), (6, 29), (13, 20), (1, 34), (37, 5), (17, 2), (16, 36), (28, 33), (19, 26), (35, 2), (1, 33), (5, 7), (21, 15), (8, 5), (34, 29), (5, 33), (16, 30), (1, 2), (29, 17), (29, 35), (22, 19), (33, 8), (33, 30), (36, 36), (3, 34), (7, 35), (0, 7), (32, 11), (14, 33), (26, 34), (25, 28), (16, 0), (14, 13), (21, 10), (15, 33), (20, 23), (22, 8), (1, 6), (5, 19), (9, 3), (35, 7), (4, 22), (25, 13), (6, 16), (20, 9), (19, 25), (20, 6), (9, 14), (4, 15), (23, 28), (30, 34), (10, 10), (12, 27), (25, 15), (26, 0), (1, 35), (24, 21), (24, 3), (8, 24), (8, 2), (18, 3), (3, 24), (26, 4), (26, 17), (14, 34), (4, 8), (14, 23), (31, 36), (25, 9), (9, 35), (21, 30), (9, 5), (2, 1), (26, 28), (1, 0), (2, 26), (10, 2), (1, 4), (15, 29), (11, 4), (24, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (35, 15), (8, 13), (11, 23), (4, 7), (18, 11), (0, 11), (8, 27), (36, 26), (34, 24), (31, 10), (10, 15), (11, 16), (0, 13), (12, 12), (10, 9), (18, 28), (4, 29), (13, 13), (12, 23), (34, 22), (5, 5), (35, 3), (27, 2), (1, 29), (29, 11), (13, 28), (9, 30), (4, 0), (11, 18), (32, 12), (27, 10), (14, 18), (12, 20), (0, 3), (24, 10), (8, 31), (33, 31), (12, 21), (32, 27), (12, 16), (18, 18), (4, 18), (0, 29), (14, 29), (19, 8), (23, 20), (17, 10), (17, 29), (32, 13), (21, 13), (36, 5), (11, 1), (31, 34), (15, 13), (21, 5), (35, 28), (1, 16), (6, 1), (15, 3), (32, 10), (22, 20), (24, 13), (21, 31), (13, 26), (16, 31), (8, 4), (33, 10), (17, 5), (29, 12), (14, 19), (8, 26), (34, 34), (24, 28), (12, 28), (15, 20), (27, 18), (27, 13), (20, 3), (14, 24), (5, 28), (11, 31), (9, 0), (34, 12), (18, 9), (26, 15), (15, 15), (30, 22), (13, 21), (34, 25), (0, 17), (10, 11), (5, 19), (33, 21), (28, 10), (14, 28), (35, 24), (12, 5), (18, 8), (11, 0), (4, 2), (9, 33), (0, 8), (21, 17), (34, 20), (31, 33), (9, 22), (22, 11), (24, 9), (5, 34), (31, 18), (12, 0), (6, 24), (17, 13), (20, 14), (31, 22), (27, 19), (12, 10), (14, 17), (20, 0), (29, 4), (3, 17), (20, 8), (4, 20), (7, 34), (19, 15), (30, 0), (15, 11), (34, 29), (9, 28), (3, 32), (22, 30), (33, 18), (27, 6), (2, 15), (4, 15), (4, 9), (36, 1), (1, 8), (8, 34), (2, 18), (19, 27), (4, 10), (0, 1), (19, 17), (2, 6), (31, 3), (18, 30), (17, 9), (22, 31), (25, 12), (16, 10), (20, 27), (5, 9), (14, 2), (18, 25), (28, 33), (4, 11), (2, 17), (29, 29), (21, 25), (17, 16), (31, 6), (0, 18), (34, 30), (28, 12), (3, 29), (24, 22), (13, 34), (9, 16), (27, 15), (17, 8), (15, 10), (27, 17), (12, 31), (20, 30), (1, 7), (36, 8), (3, 25), (10, 7), (12, 11), (24, 20), (31, 11), (2, 33), (13, 30), (11, 17), (6, 28), (20, 18), (12, 19), (11, 3), (13, 9), (6, 3), (22, 33), (33, 34), (3, 19), (14, 31), (9, 10), (22, 0), (3, 16), (25, 17), (28, 11), (3, 8), (2, 0), (0, 31), (9, 18), (16, 20), (33, 26), (19, 5), (31, 8), (22, 24), (11, 22), (2, 31), (32, 16), (16, 32), (1, 17), (11, 33), (9, 9), (0, 32), (36, 32), (31, 27), (9, 20), (19, 23), (33, 24), (33, 8), (36, 11), (17, 31), (20, 11), (32, 34), (7, 7), (5, 31), (5, 0), (25, 8), (13, 33), (24, 19), (20, 7), (16, 9), (8, 24), (28, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 33x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 36), (7, 16), (28, 29), (21, 17), (18, 26), (2, 30), (29, 20), (8, 27), (30, 11), (5, 27), (1, 8), (5, 19), (17, 13), (9, 3), (8, 26), (4, 29), (27, 24), (9, 31), (20, 29), (20, 4), (4, 26), (10, 31), (27, 3), (18, 10), (10, 25), (12, 12), (14, 34), (7, 19), (9, 11), (13, 24), (12, 22), (4, 8), (13, 35), (29, 31), (17, 11), (17, 23), (1, 16), (7, 15), (11, 10), (2, 3), (10, 14), (19, 13), (3, 33), (20, 20), (9, 36), (8, 0), (21, 24), (4, 12), (22, 28), (27, 15), (10, 20), (18, 21), (28, 11), (20, 8), (29, 32), (0, 28), (17, 3), (31, 11), (13, 14), (23, 19), (7, 2), (28, 6), (24, 4), (12, 11), (13, 30), (3, 6), (15, 24), (9, 18), (32, 3), (23, 33), (20, 30), (1, 11), (29, 24), (11, 24), (4, 13), (25, 37), (16, 27), (18, 16), (8, 12), (30, 24), (26, 29), (29, 35), (18, 17), (28, 10), (13, 31), (27, 31), (13, 0), (29, 36), (16, 23), (12, 20), (18, 22), (18, 9), (2, 36), (10, 27), (3, 17), (18, 7), (5, 35), (26, 6), (13, 34), (31, 21), (0, 27), (14, 4), (24, 0), (24, 10), (15, 3), (22, 5), (23, 14), (1, 4), (22, 4), (30, 14), (11, 28), (16, 20), (24, 17), (14, 21), (20, 27), (2, 33), (25, 7), (31, 10), (9, 25), (0, 5), (10, 8), (16, 35), (18, 6), (0, 37), (32, 13), (32, 21), (28, 21), (27, 10), (12, 21), (30, 23), (5, 4), (11, 11), (27, 22), (22, 19), (3, 5), (31, 15), (11, 20), (12, 1), (13, 32), (7, 0), (16, 1), (21, 9), (8, 10), (13, 6), (10, 11), (12, 15), (1, 24), (14, 33), (21, 23), (18, 18), (22, 7), (25, 0), (11, 25), (12, 9), (13, 19), (6, 2), (26, 1), (10, 36), (7, 4), (29, 13), (20, 7), (32, 23), (17, 22), (17, 20), (0, 17), (10, 10), (23, 32), (31, 14), (32, 11), (32, 18), (5, 11), (13, 18), (17, 17), (5, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 20), (2, 22), (6, 19), (22, 22), (5, 29), (1, 29), (18, 12), (19, 6), (7, 6), (1, 23), (24, 0), (19, 32), (17, 3), (5, 24), (3, 25), (12, 7), (10, 5), (34, 26), (35, 10), (22, 23), (33, 11), (16, 12), (6, 11), (32, 21), (14, 3), (21, 32), (14, 9), (17, 4), (32, 31), (2, 2), (18, 9), (15, 19), (4, 29), (20, 2), (26, 30), (24, 22), (18, 0), (15, 8), (31, 32), (27, 3), (28, 1), (11, 3), (15, 28), (18, 27), (24, 12), (18, 10), (6, 9), (6, 0), (33, 25), (34, 12), (26, 7), (2, 19), (24, 7), (18, 23), (24, 28), (6, 30), (15, 13), (20, 31), (23, 17), (14, 25), (31, 10), (2, 16), (26, 14), (24, 31), (16, 31), (31, 14), (34, 5), (23, 26), (29, 3), (19, 9), (19, 23), (11, 29), (4, 12), (22, 31), (18, 4), (29, 0), (17, 28), (23, 29), (9, 9), (25, 23), (3, 26), (21, 30), (3, 4), (12, 16), (0, 24), (1, 24), (24, 21), (0, 12), (11, 32), (5, 10), (1, 17), (23, 25), (34, 16), (6, 14), (23, 27), (15, 31), (15, 18), (30, 25), (22, 25), (32, 7), (35, 16), (17, 2), (12, 31), (5, 0), (30, 5), (30, 32), (4, 2), (22, 7), (29, 31), (34, 8), (18, 32), (13, 0), (9, 14), (12, 32), (31, 19), (16, 30), (13, 7), (35, 14), (15, 27), (10, 28), (29, 25), (12, 9), (7, 23), (20, 13), (20, 18), (1, 21), (23, 9), (7, 27), (33, 1), (35, 21), (2, 20), (6, 12), (8, 6), (14, 0), (11, 28), (31, 5), (32, 6), (25, 22), (26, 32), (22, 13), (34, 20), (35, 23), (18, 8), (29, 9), (22, 11), (0, 25), (8, 21), (25, 16), (13, 5), (29, 4), (9, 7), (16, 8), (1, 3), (6, 27), (20, 23), (2, 0), (8, 15), (28, 27), (14, 1), (31, 23), (2, 1), (26, 20), (7, 25), (30, 22), (21, 9), (33, 24), (33, 10), (10, 6), (1, 20), (14, 23), (20, 8), (0, 23), (17, 5), (8, 24), (26, 18), (15, 16), (17, 6), (7, 1), (22, 15), (24, 5), (26, 22), (26, 12), (21, 12), (19, 25), (6, 18), (0, 14), (35, 6), (35, 20), (17, 17), (19, 14), (21, 18), (31, 8), (15, 23), (6, 22), (23, 22), (13, 11), (25, 15), (24, 30), (6, 20), (28, 3), (19, 21), (4, 19), (29, 16), (4, 22), (14, 11), (34, 17), (35, 12), (5, 19), (17, 13), (5, 2), (19, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 16), (8, 29), (14, 1), (7, 21), (10, 23), (10, 6), (10, 20), (18, 2), (14, 3), (0, 14), (6, 25), (18, 4), (8, 26), (31, 27), (19, 2), (23, 2), (6, 20), (16, 4), (18, 23), (33, 26), (14, 12), (15, 7), (10, 35), (31, 16), (23, 4), (10, 30), (18, 15), (24, 10), (1, 19), (12, 6), (29, 29), (1, 11), (2, 18), (5, 12), (7, 32), (17, 3), (24, 14), (0, 18), (3, 22), (14, 28), (27, 25), (31, 11), (11, 4), (6, 2), (34, 26), (30, 7), (11, 30), (1, 14), (21, 1), (24, 31), (24, 8), (20, 10), (26, 23), (24, 32), (25, 8), (6, 10), (16, 25), (28, 21), (3, 14), (17, 14), (34, 16), (15, 34), (32, 17), (14, 8), (25, 5), (6, 9), (21, 26), (27, 13), (25, 20), (31, 24), (3, 12), (26, 29), (7, 20), (20, 4), (24, 6), (9, 5), (30, 32), (29, 32), (28, 6), (5, 16), (23, 31), (20, 15), (21, 10), (18, 33), (3, 3), (3, 35), (23, 12), (9, 31), (17, 24), (20, 12), (8, 22), (31, 10), (24, 13), (22, 35), (18, 27), (26, 30), (11, 6), (15, 26), (9, 9), (14, 2), (3, 2), (30, 3), (30, 20), (13, 8), (14, 36), (0, 21), (25, 31), (24, 19), (32, 8), (23, 14), (8, 35), (33, 21), (28, 29), (19, 12), (9, 26), (10, 15), (20, 25), (23, 32), (30, 17), (30, 25), (22, 6), (17, 22), (8, 16), (4, 18), (24, 9), (21, 4), (2, 9), (26, 0), (27, 23), (6, 35), (29, 2), (4, 3), (16, 33), (32, 30), (12, 14), (33, 23), (16, 36), (23, 5), (10, 18), (5, 29), (33, 1), (15, 21), (23, 33), (15, 17), (2, 1), (25, 22), (19, 8), (12, 31), (34, 21), (15, 35), (10, 21), (7, 1), (32, 25), (27, 14), (18, 5), (22, 7), (15, 9), (28, 2), (25, 0), (7, 18), (13, 36), (2, 24), (16, 19), (28, 25), (10, 7), (13, 11), (29, 16), (10, 10), (11, 19), (19, 33), (20, 31), (21, 35), (0, 22), (12, 34), (6, 0), (5, 14), (16, 17), (10, 9), (24, 11), (34, 14), (25, 32), (33, 32), (32, 35), (13, 23), (0, 9), (31, 17), (29, 30), (26, 34), (28, 4), (8, 15), (20, 26), (21, 27), (26, 33), (7, 25), (14, 5), (15, 19), (27, 31), (12, 4), (0, 20), (32, 1), (0, 15), (21, 16), (23, 8), (30, 15), (9, 36), (30, 31), (29, 17), (8, 14), (11, 2), (32, 33), (2, 21), (25, 14), (4, 22), (22, 4), (31, 33), (11, 24), (4, 7), (25, 11), (8, 11), (25, 16), (6, 28), (24, 25), (13, 10), (3, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 12), (35, 25), (14, 32), (9, 21), (12, 11), (13, 2), (11, 31), (1, 14), (17, 7), (35, 20), (13, 20), (7, 26), (22, 29), (2, 19), (20, 28), (6, 5), (16, 0), (35, 17), (20, 12), (3, 25), (28, 9), (7, 16), (14, 27), (4, 34), (25, 21), (13, 32), (1, 31), (21, 14), (23, 19), (28, 20), (22, 5), (13, 26), (8, 4), (2, 18), (10, 23), (32, 18), (30, 33), (35, 6), (35, 12), (24, 19), (15, 5), (16, 2), (0, 3), (13, 0), (5, 18), (12, 21), (11, 30), (9, 19), (0, 31), (3, 7), (4, 1), (27, 6), (19, 6), (29, 24), (29, 17), (16, 18), (0, 17), (15, 10), (5, 3), (27, 33), (29, 9), (4, 29), (6, 31), (6, 18), (30, 20), (19, 16), (14, 12), (5, 27), (20, 8), (7, 23), (5, 8), (8, 3), (1, 9), (7, 29), (14, 26), (26, 6), (12, 6), (34, 19), (32, 9), (23, 16), (17, 2), (24, 1), (17, 26), (23, 21), (10, 31), (5, 4), (23, 2), (3, 29), (21, 30), (24, 33), (33, 0), (27, 2), (28, 17), (2, 34), (15, 29), (17, 17), (22, 32), (25, 19), (35, 33), (6, 1), (29, 28), (13, 29), (28, 23), (26, 20), (2, 24), (21, 9), (13, 23), (24, 14), (6, 26), (22, 12), (26, 32), (17, 30), (28, 21), (14, 5), (18, 25), (17, 18), (33, 8), (35, 26), (23, 26), (35, 32), (5, 12), (33, 12), (18, 2), (8, 12), (29, 30), (24, 5), (36, 24), (28, 32), (21, 6), (31, 22), (17, 12), (28, 1), (17, 24), (20, 34), (3, 17), (23, 17), (14, 18), (12, 27), (30, 13), (9, 31), (35, 21), (24, 25), (34, 15), (36, 26), (9, 9), (13, 7), (10, 28), (29, 5), (5, 17), (29, 31), (9, 33), (9, 12), (22, 27), (7, 20), (0, 2), (33, 22), (11, 32), (7, 13), (35, 11), (25, 10), (25, 13), (3, 28), (21, 22), (8, 34), (9, 24), (7, 7), (31, 12), (23, 0), (19, 31), (0, 16), (31, 5), (36, 33), (6, 20), (14, 29), (0, 5), (19, 23), (32, 26), (1, 29), (34, 31), (19, 29), (20, 23), (18, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 16), (3, 2), (6, 35), (10, 13), (9, 2), (29, 6), (22, 35), (2, 1), (17, 35), (3, 3), (26, 15), (12, 22), (12, 20), (15, 22), (18, 27), (16, 31), (25, 19), (0, 16), (20, 11), (19, 24), (14, 12), (23, 24), (0, 20), (24, 12), (12, 9), (25, 35), (26, 12), (14, 26), (9, 30), (27, 27), (15, 15), (22, 34), (8, 10), (28, 16), (19, 18), (24, 7), (6, 16), (5, 13), (5, 35), (22, 22), (0, 12), (25, 9), (29, 19), (28, 7), (16, 27), (18, 20), (2, 17), (16, 2), (0, 7), (16, 30), (3, 27), (1, 11), (28, 31), (24, 13), (16, 10), (8, 4), (21, 8), (28, 2), (7, 4), (27, 24), (28, 28), (9, 19), (0, 32), (19, 7), (22, 5), (22, 6), (20, 8), (15, 21), (7, 21), (16, 1), (23, 8), (22, 2), (3, 30), (19, 15), (13, 36), (20, 26), (14, 32), (3, 31), (27, 28), (21, 6), (28, 25), (22, 7), (18, 30), (4, 5), (26, 19), (0, 36), (18, 25), (28, 12), (27, 13), (3, 10), (7, 9), (14, 4), (3, 4), (20, 4), (18, 8), (16, 14), (27, 12), (24, 21), (21, 2), (12, 35), (1, 5), (15, 31), (24, 9), (0, 17), (21, 36), (17, 26), (0, 5), (2, 8), (0, 25), (1, 29), (7, 0), (28, 0), (16, 36), (24, 32), (15, 8), (8, 35), (29, 2), (27, 21), (11, 20), (10, 19), (25, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (35, 10), (9, 19), (2, 24), (13, 26), (20, 26), (33, 25), (31, 5), (0, 13), (1, 22), (5, 29), (15, 7), (22, 10), (26, 14), (9, 14), (11, 27), (13, 13), (4, 6), (18, 15), (22, 12), (28, 24), (18, 9), (28, 14), (20, 6), (5, 16), (2, 11), (35, 24), (24, 0), (6, 26), (10, 5), (23, 17), (30, 28), (16, 1), (27, 24), (11, 11), (8, 26), (10, 7), (3, 27), (22, 4), (9, 23), (17, 16), (26, 0), (3, 6), (28, 4), (17, 10), (35, 2), (21, 11), (3, 12), (12, 21), (17, 27), (9, 30), (23, 18), (17, 15), (12, 20), (19, 29), (31, 18), (10, 24), (19, 6), (29, 9), (7, 16), (26, 30), (16, 9), (2, 6), (23, 19), (3, 0), (19, 15), (18, 27), (9, 2), (17, 6), (7, 1), (28, 2), (28, 25), (32, 15), (3, 22), (28, 7), (35, 7), (11, 10), (24, 22), (18, 23), (35, 27), (14, 13), (35, 0), (16, 10), (9, 8), (19, 30), (3, 23), (6, 16), (21, 16), (2, 16), (9, 15), (4, 1), (4, 15), (6, 1), (27, 22), (35, 4), (4, 21), (10, 3), (34, 10), (15, 10), (9, 17), (2, 5), (11, 15), (14, 2), (22, 11), (7, 23), (19, 28), (24, 11), (10, 0), (4, 24), (16, 24), (8, 2), (17, 8), (27, 14), (0, 26), (25, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 20), (21, 14), (17, 7), (29, 24), (27, 5), (27, 24), (27, 25), (20, 20), (27, 9), (19, 0), (16, 27), (30, 26), (15, 11), (35, 13), (33, 3), (6, 14), (34, 19), (22, 15), (33, 5), (8, 19), (6, 29), (35, 20), (12, 12), (24, 9), (0, 19), (10, 5), (30, 18), (19, 10), (6, 18), (4, 14), (25, 23), (12, 24), (29, 14), (30, 13), (30, 6), (1, 4), (20, 27), (1, 28), (34, 14), (21, 19), (24, 1), (29, 21), (7, 14), (9, 29), (28, 11), (30, 7), (23, 27), (16, 13), (11, 9), (13, 21), (4, 23), (16, 18), (2, 29), (7, 8), (28, 13), (32, 20), (34, 7), (28, 2), (30, 8), (15, 1), (1, 1), (25, 21), (35, 3), (26, 26), (30, 24), (5, 9), (9, 1), (30, 14), (11, 5), (24, 18), (0, 1), (24, 14), (2, 5), (6, 28), (13, 1), (24, 22), (21, 15), (34, 24), (5, 3), (2, 4), (6, 8), (4, 12), (0, 2), (21, 6), (10, 16), (27, 11), (7, 27), (27, 29), (34, 17), (12, 26), (16, 22), (30, 28), (16, 23), (25, 13), (23, 6), (16, 8), (23, 28), (19, 6), (9, 21), (25, 25), (28, 6), (31, 1), (6, 10), (8, 13), (20, 13), (3, 27), (16, 1), (29, 3), (22, 27), (1, 7), (22, 12), (23, 3), (7, 7), (33, 7), (5, 20), (9, 9), (17, 8), (27, 0), (22, 14), (3, 15), (9, 11), (32, 25), (32, 16), (24, 2), (24, 12), (32, 7), (15, 25), (20, 26), (7, 23), (4, 24), (15, 13), (0, 4), (33, 14), (0, 27), (3, 25), (15, 5), (5, 2), (18, 19), (4, 3), (6, 11), (17, 23), (22, 24), (0, 13), (4, 0), (3, 20), (2, 25), (23, 19), (26, 3), (16, 11), (24, 13), (13, 6), (34, 5), (24, 16), (14, 21), (30, 22), (10, 13), (23, 1), (31, 23), (16, 17), (7, 22), (16, 2), (15, 0), (33, 28), (32, 5), (19, 8), (29, 2), (25, 7), (31, 0), (9, 18), (18, 14), (19, 9), (19, 11), (24, 26), (18, 1), (30, 4), (12, 9), (18, 15), (35, 25), (1, 11), (0, 9), (22, 17), (14, 2), (1, 2), (33, 25), (14, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 32x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 16), (17, 32), (30, 30), (31, 28), (22, 29), (18, 18), (16, 27), (22, 27), (25, 16), (24, 23), (21, 18), (0, 10), (30, 1), (4, 8), (20, 23), (1, 27), (10, 17), (12, 30), (3, 11), (0, 24), (3, 1), (29, 28), (14, 0), (6, 33), (25, 22), (27, 17), (23, 11), (2, 28), (15, 4), (16, 2), (5, 18), (23, 3), (9, 18), (4, 18), (27, 31), (7, 13), (2, 12), (11, 27), (16, 13), (11, 20), (2, 17), (29, 8), (27, 11), (23, 4), (30, 25), (29, 12), (19, 8), (27, 10), (25, 14), (12, 8), (28, 6), (17, 21), (23, 8), (29, 23), (28, 2), (5, 27), (22, 13), (2, 1), (26, 31), (10, 7), (19, 16), (10, 2), (9, 25), (13, 10), (24, 13), (21, 15), (9, 8), (25, 8), (20, 27), (26, 15), (17, 23), (29, 22), (28, 12), (30, 17), (7, 15), (5, 6), (30, 14), (11, 23), (23, 23), (31, 31), (1, 11), (26, 3), (3, 26), (12, 32), (29, 9), (28, 31), (18, 11), (24, 24), (22, 9), (1, 5), (29, 26), (14, 27), (0, 7), (4, 30), (19, 14), (25, 25), (21, 5), (17, 15), (18, 33), (26, 23), (9, 16), (22, 2), (26, 5), (27, 16), (18, 21), (5, 16), (20, 16), (3, 29), (27, 29), (26, 19), (23, 22), (4, 12), (31, 26), (21, 10), (14, 22), (19, 15), (9, 12), (24, 3), (9, 29), (26, 6), (27, 4), (21, 4), (15, 12), (31, 4), (29, 20), (16, 29), (4, 31), (30, 12), (31, 25), (12, 3), (16, 5), (1, 28), (10, 27), (24, 8), (6, 22), (24, 30), (22, 12), (1, 2), (2, 19), (26, 24), (18, 16), (4, 22), (21, 31), (9, 24), (29, 25), (12, 17), (5, 19), (31, 23), (10, 3), (28, 8), (15, 31), (6, 9), (4, 23), (7, 12), (28, 19), (15, 17), (0, 21), (22, 20), (31, 20), (30, 26), (3, 14), (4, 28), (19, 19), (16, 4), (2, 15), (25, 32), (14, 18), (2, 11), (29, 31), (17, 31), (29, 10), (5, 24), (7, 29), (13, 27), (19, 28), (4, 27), (15, 32), (5, 21), (19, 11), (13, 28), (11, 9), (24, 27), (12, 14), (15, 21), (4, 26), (19, 21), (21, 3), (28, 25), (5, 14), (19, 27), (14, 29), (20, 19), (24, 17), (13, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 0), (24, 25), (16, 25), (8, 7), (24, 29), (23, 29), (2, 1), (34, 20), (24, 12), (15, 23), (33, 13), (5, 3), (6, 11), (20, 10), (30, 14), (33, 5), (13, 11), (26, 20), (10, 13), (8, 13), (33, 1), (3, 10), (7, 6), (31, 25), (33, 16), (14, 23), (3, 5), (7, 18), (21, 7), (13, 10), (27, 11), (11, 6), (31, 5), (12, 2), (14, 10), (0, 17), (21, 23), (25, 5), (8, 22), (11, 8), (30, 20), (21, 18), (15, 6), (4, 10), (2, 7), (10, 8), (7, 8), (34, 28), (7, 2), (0, 15), (25, 19), (33, 14), (3, 4), (26, 7), (1, 18), (24, 4), (32, 0), (7, 14), (25, 9), (10, 27), (17, 22), (16, 8), (9, 3), (6, 27), (9, 1), (18, 19), (1, 20), (20, 2), (32, 7), (28, 15), (12, 14), (3, 26), (30, 5), (2, 5), (33, 4), (33, 21), (26, 8), (28, 21), (30, 17), (1, 2), (2, 29), (17, 14), (24, 18), (17, 25), (27, 3), (7, 20), (27, 24), (5, 15), (22, 0), (9, 15), (21, 1), (28, 18), (25, 28), (17, 2), (29, 1), (27, 21), (27, 0), (33, 7), (22, 1), (20, 23), (29, 15), (24, 2), (9, 2), (12, 24), (13, 13), (27, 18), (21, 11), (17, 5), (7, 26), (12, 29), (7, 29), (9, 6), (17, 17), (27, 6), (11, 27), (1, 22), (21, 21), (20, 15), (10, 16), (1, 24), (4, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 0), (13, 21), (5, 28), (7, 7), (29, 8), (17, 3), (26, 14), (17, 15), (30, 24), (17, 1), (11, 25), (24, 23), (12, 5), (13, 27), (25, 14), (24, 4), (7, 0), (15, 17), (22, 9), (5, 7), (2, 2), (11, 22), (28, 25), (4, 4), (0, 8), (31, 17), (13, 2), (12, 11), (29, 27), (5, 1), (30, 15), (29, 7), (7, 2), (6, 7), (30, 17), (24, 20), (27, 19), (29, 5), (5, 9), (32, 13), (9, 22), (11, 28), (14, 3), (15, 2), (26, 13), (9, 25), (31, 18), (16, 10), (10, 1), (17, 8), (25, 12), (18, 6), (19, 6), (7, 19), (16, 15), (13, 6), (15, 28), (18, 27), (22, 17), (26, 16), (7, 12), (10, 26), (23, 11), (27, 15), (32, 10), (28, 4), (29, 10), (7, 16), (25, 15), (21, 8), (10, 22), (31, 8), (17, 20), (30, 20), (17, 24), (31, 11), (5, 15), (9, 7), (18, 26), (22, 21), (0, 18), (30, 14), (22, 2), (15, 27), (1, 8), (25, 11), (20, 4), (9, 13), (5, 3), (3, 20), (13, 1), (32, 21), (29, 2), (9, 10), (17, 27), (8, 2), (7, 24), (20, 7), (11, 1), (8, 12), (19, 5), (27, 27), (25, 28), (28, 18), (24, 2), (26, 8), (0, 23), (22, 29), (24, 8), (26, 18), (21, 18), (12, 17), (22, 3), (6, 3), (5, 5), (2, 14), (31, 29), (1, 25), (7, 1), (10, 17), (0, 14), (4, 12), (11, 18), (29, 24), (7, 6), (14, 25), (18, 3), (20, 3), (6, 12), (24, 21), (13, 5), (5, 2), (14, 1), (31, 22), (28, 7), (3, 3), (32, 8), (6, 15), (20, 28), (8, 15), (1, 12), (18, 14), (19, 9), (13, 24), (2, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 32x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 30), (15, 14), (4, 28), (0, 9), (29, 13), (30, 15), (17, 29), (23, 25), (2, 10), (31, 24), (1, 17), (21, 29), (19, 28), (28, 7), (24, 0), (20, 7), (29, 2), (17, 2), (11, 16), (11, 7), (19, 29), (5, 29), (12, 0), (18, 10), (27, 21), (16, 24), (23, 30), (29, 19), (2, 29), (19, 2), (31, 3), (1, 6), (16, 13), (29, 15), (9, 17), (16, 5), (5, 16), (17, 13), (14, 27), (14, 16), (21, 12), (4, 15), (30, 18), (23, 7), (7, 10), (29, 9), (26, 17), (12, 1), (17, 5), (16, 16), (1, 28), (21, 17), (27, 10), (3, 4), (15, 18), (10, 14), (3, 29), (23, 21), (9, 30), (17, 10), (24, 20), (18, 29), (23, 23), (11, 2), (0, 29), (19, 9), (29, 0), (17, 14), (9, 6), (8, 20), (13, 21), (5, 9), (13, 8), (26, 20), (20, 5), (9, 14), (21, 28), (13, 29), (7, 20), (2, 23), (15, 13), (23, 8), (12, 14), (19, 17), (28, 1), (31, 11), (24, 13), (12, 25), (6, 8), (4, 0), (31, 28), (18, 23), (17, 26), (1, 23), (3, 7), (22, 1), (20, 24), (16, 2), (28, 27), (15, 2), (18, 3), (30, 29), (2, 9), (29, 28), (7, 6), (23, 19), (3, 11), (3, 15), (1, 30), (0, 22), (18, 1), (17, 0), (9, 3), (8, 1), (6, 10), (16, 8), (30, 17), (14, 3), (4, 1), (8, 19), (16, 1), (10, 22), (30, 26), (31, 23), (0, 25), (15, 26), (16, 22), (20, 9), (0, 10), (2, 7), (14, 10), (12, 18), (19, 11), (8, 8), (19, 16), (11, 23), (7, 27), (20, 18), (15, 30), (13, 16), (26, 1), (7, 16), (30, 11), (9, 2), (13, 1), (6, 22), (10, 26), (23, 27), (10, 13), (13, 14), (15, 0), (2, 8), (13, 4), (10, 6), (18, 12), (17, 21), (19, 15), (28, 0), (28, 28), (18, 25), (24, 2), (22, 7), (10, 18), (3, 2), (22, 26), (17, 16), (15, 1), (16, 26), (15, 20), (1, 21), (22, 18), (14, 17), (25, 8), (31, 22), (6, 30), (19, 0), (8, 24), (13, 0), (12, 27), (5, 25), (26, 29), (10, 11), (7, 25), (24, 29), (25, 18), (29, 1), (3, 6), (5, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 37x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 22), (7, 3), (31, 9), (10, 27), (13, 17), (7, 5), (3, 6), (11, 27), (12, 13), (32, 4), (35, 10), (25, 0), (10, 24), (9, 0), (29, 24), (17, 17), (21, 4), (16, 20), (13, 23), (29, 15), (16, 7), (2, 0), (9, 20), (34, 12), (19, 0), (20, 26), (13, 16), (17, 21), (16, 6), (15, 13), (21, 25), (8, 5), (6, 18), (21, 20), (19, 28), (27, 28), (17, 13), (0, 8), (27, 7), (30, 16), (6, 5), (29, 25), (22, 15), (11, 1), (7, 9), (36, 14), (14, 1), (3, 24), (4, 29), (29, 28), (31, 22), (35, 6), (32, 24), (26, 29), (31, 7), (23, 14), (36, 8), (17, 9), (0, 11), (24, 24), (23, 3), (11, 11), (6, 13), (26, 27), (21, 26), (8, 1), (23, 1), (27, 21), (33, 12), (21, 14), (5, 19), (33, 14), (4, 16), (16, 28), (6, 7), (5, 22), (21, 5), (18, 7), (0, 2), (19, 5), (10, 14), (5, 8), (9, 1), (32, 12), (19, 27), (23, 20), (18, 8), (14, 18), (3, 17), (8, 13), (18, 19), (1, 19), (15, 0), (22, 20), (17, 7), (25, 11), (17, 12), (31, 8), (23, 12), (23, 23), (28, 27), (9, 28), (23, 9), (18, 13), (13, 6), (5, 7), (12, 17), (23, 4), (9, 19), (18, 5), (10, 23), (33, 19), (25, 14), (8, 25), (18, 25), (1, 26), (34, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (36, 16), (2, 4), (25, 5), (2, 0), (31, 9), (15, 34), (3, 24), (11, 13), (34, 10), (10, 8), (13, 26), (25, 25), (5, 14), (1, 4), (25, 6), (33, 18), (19, 3), (32, 22), (4, 28), (10, 23), (13, 31), (5, 34), (35, 35), (26, 12), (32, 36), (8, 2), (3, 8), (35, 24), (9, 29), (3, 27), (31, 24), (15, 31), (0, 4), (5, 7), (34, 20), (10, 9), (23, 31), (1, 27), (13, 27), (31, 33), (32, 21), (28, 10), (4, 19), (3, 28), (18, 28), (25, 1), (16, 28), (20, 9), (34, 6), (17, 30), (24, 26), (2, 1), (0, 19), (24, 17), (17, 35), (33, 34), (21, 30), (2, 34), (25, 26), (36, 30), (27, 13), (33, 14), (7, 26), (17, 1), (29, 17), (5, 29), (17, 11), (34, 22), (0, 15), (24, 33), (30, 23), (8, 14), (11, 9), (4, 10), (5, 21), (3, 20), (34, 11), (15, 11), (11, 35), (24, 27), (19, 11), (22, 5), (18, 1), (14, 10), (22, 11), (3, 11), (14, 24), (24, 16), (35, 1), (29, 27), (26, 20), (33, 19), (14, 2), (10, 5), (0, 17), (8, 17), (16, 33), (3, 36), (27, 8), (27, 12), (26, 35), (33, 3), (19, 27), (36, 18), (32, 30), (34, 27), (32, 5), (11, 21), (13, 6), (27, 34), (34, 30), (6, 2), (31, 29), (21, 23), (6, 17), (11, 16), (20, 17), (27, 0), (34, 34), (8, 28), (7, 32), (12, 3), (15, 3), (14, 11), (27, 1), (10, 12), (29, 26), (26, 8), (31, 2), (9, 36), (27, 4), (1, 36), (9, 31), (2, 23), (36, 7), (30, 32), (2, 29), (21, 5), (32, 15), (9, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 23), (22, 13), (13, 4), (17, 19), (27, 18), (16, 7), (36, 0), (34, 23), (2, 14), (34, 28), (31, 14), (36, 21), (28, 10), (3, 27), (25, 10), (36, 1), (32, 19), (35, 0), (19, 16), (8, 5), (12, 8), (5, 9), (27, 11), (31, 12), (6, 13), (9, 28), (15, 28), (3, 28), (19, 15), (18, 3), (25, 28), (26, 1), (17, 5), (7, 23), (1, 26), (25, 16), (3, 6), (6, 27), (10, 18), (34, 16), (3, 12), (4, 14), (32, 16), (33, 17), (20, 7), (19, 29), (1, 20), (23, 9), (24, 12), (1, 25), (16, 8), (32, 21), (21, 29), (18, 22), (29, 27), (32, 7), (28, 30), (16, 21), (31, 0), (4, 24), (28, 15), (28, 21), (12, 5), (0, 8), (3, 4), (8, 30), (36, 15), (1, 15), (2, 10), (24, 6), (18, 13), (33, 14), (27, 9), (14, 8), (9, 25), (0, 10), (10, 2), (30, 11), (29, 8), (28, 25), (1, 0), (31, 28), (0, 17), (10, 30), (8, 8), (23, 2), (14, 3), (34, 3), (35, 29), (8, 14), (16, 2), (23, 1), (5, 4), (9, 30), (18, 8), (12, 3), (23, 22), (8, 20), (7, 0), (35, 1), (23, 21), (6, 3), (35, 12), (32, 2), (24, 1), (17, 11), (16, 23), (32, 29), (14, 0), (13, 12), (35, 27), (33, 1), (8, 28), (23, 18), (14, 25), (5, 20), (34, 7), (27, 6), (15, 23), (26, 10), (34, 17), (31, 9), (20, 26), (9, 5), (11, 1), (20, 3), (26, 17), (11, 16), (33, 25), (0, 29), (22, 17), (23, 17), (26, 8), (26, 25), (21, 14), (23, 3), (14, 20), (28, 1), (1, 22), (29, 11), (28, 16), (19, 30), (32, 3), (12, 16), (25, 1), (32, 27), (23, 24), (17, 21), (2, 3), (11, 6), (0, 27), (19, 11), (23, 20), (28, 8), (18, 16), (11, 14), (22, 18), (16, 14), (12, 9), (19, 7), (15, 7), (2, 7), (22, 26), (25, 22), (15, 8), (20, 13), (8, 1), (23, 26), (7, 18), (36, 13), (6, 8), (4, 16), (30, 29), (17, 15), (0, 22), (7, 15), (0, 23), (2, 9), (19, 20), (19, 19), (10, 11), (17, 1), (12, 27), (36, 28), (5, 26), (1, 19), (31, 27), (5, 22), (16, 9), (10, 4), (20, 14), (5, 13), (14, 11), (7, 26), (20, 2), (36, 24), (31, 13), (5, 8), (26, 23), (29, 13), (21, 12), (10, 1), (22, 9), (5, 10), (2, 26), (13, 8), (28, 26), (9, 29), (20, 29), (4, 23), (15, 4), (29, 16), (13, 11), (0, 14), (0, 25), (6, 6), (27, 16), (21, 5), (23, 15), (1, 7), (8, 6), (10, 10), (28, 4), (32, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 11), (12, 16), (31, 33), (13, 16), (30, 25), (25, 35), (30, 35), (25, 24), (25, 14), (38, 1), (2, 18), (25, 3), (33, 12), (25, 7), (12, 11), (35, 28), (24, 33), (23, 28), (23, 27), (1, 11), (37, 16), (16, 28), (34, 8), (8, 35), (36, 30), (15, 11), (1, 19), (12, 8), (19, 3), (25, 33), (9, 26), (17, 20), (35, 33), (17, 24), (34, 0), (33, 29), (36, 6), (35, 16), (26, 28), (16, 29), (1, 22), (8, 29), (7, 9), (20, 4), (11, 20), (0, 19), (34, 11), (3, 28), (30, 27), (27, 11), (14, 3), (12, 6), (29, 9), (19, 19), (2, 10), (22, 23), (18, 35), (31, 1), (24, 22), (33, 0), (8, 16), (15, 10), (30, 31), (32, 32), (28, 24), (16, 32), (6, 20), (26, 35), (38, 9), (22, 12), (14, 8), (34, 30), (11, 5), (9, 32), (6, 19), (13, 15), (16, 26), (6, 26), (26, 4), (20, 19), (30, 13), (35, 24), (13, 7), (37, 31), (11, 34), (7, 20), (14, 4), (22, 24), (6, 34), (34, 6), (31, 31), (31, 7), (27, 26), (9, 34), (17, 34), (20, 25), (19, 4), (18, 33), (29, 19), (20, 14), (0, 28), (23, 35), (35, 6), (32, 22), (28, 18), (24, 35), (29, 22), (20, 27), (24, 31), (32, 18), (34, 31), (26, 16), (10, 1), (0, 31), (14, 11), (29, 35), (38, 32), (19, 21), (13, 31), (1, 16), (10, 12), (7, 10), (17, 26), (19, 15), (18, 19), (37, 27), (20, 33), (31, 24), (36, 22), (9, 16), (36, 10), (16, 0), (18, 18), (3, 19), (8, 17), (29, 33), (17, 29), (10, 27), (15, 7), (24, 9), (20, 22), (31, 4), (2, 33), (23, 26), (37, 12), (26, 5), (16, 17), (25, 0), (11, 1), (5, 1), (31, 15), (5, 27), (29, 27), (8, 14), (24, 0), (10, 20), (31, 5), (16, 27), (33, 16), (2, 2), (6, 28), (27, 35), (0, 12), (10, 10), (30, 29), (34, 10), (34, 3), (14, 14), (34, 17), (9, 0), (6, 30), (9, 4), (37, 0), (28, 0), (15, 27), (37, 14), (25, 32), (28, 27), (21, 30), (15, 6), (7, 7), (35, 1), (11, 23), (24, 4), (20, 8), (8, 30), (36, 20), (38, 12), (12, 14), (22, 21), (32, 33), (23, 2), (21, 5), (36, 15), (18, 14), (3, 10), (1, 20), (26, 19), (9, 33), (0, 11), (2, 9), (16, 25), (36, 9), (8, 3), (4, 19), (12, 7), (13, 2), (20, 2), (10, 32), (4, 12), (8, 8), (4, 28), (27, 30), (20, 26), (32, 28), (37, 30), (16, 35), (5, 9), (18, 24), (35, 27), (3, 16), (32, 27), (25, 26), (21, 23), (29, 21), (4, 18), (8, 21), (19, 27), (38, 7), (1, 12), (8, 11), (15, 15), (21, 17), (6, 1), (17, 11), (14, 35), (0, 33), (14, 25), (16, 23), (17, 12), (22, 29), (20, 16), (21, 3), (17, 28), (4, 29), (21, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 39x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 26), (30, 10), (12, 24), (30, 21), (27, 19), (17, 20), (38, 20), (21, 14), (7, 2), (7, 16), (35, 28), (12, 3), (34, 30), (25, 18), (3, 17), (34, 10), (2, 11), (16, 22), (6, 7), (9, 10), (18, 22), (13, 7), (14, 5), (38, 15), (30, 30), (15, 26), (29, 28), (1, 24), (17, 8), (20, 4), (15, 25), (9, 24), (27, 26), (2, 15), (35, 1), (32, 18), (12, 10), (23, 5), (4, 3), (13, 5), (20, 30), (1, 12), (3, 12), (21, 6), (12, 27), (27, 18), (23, 25), (35, 19), (7, 3), (34, 19), (35, 17), (29, 12), (17, 2), (33, 1), (27, 21), (38, 23), (10, 9), (35, 26), (17, 13), (31, 19), (10, 15), (3, 30), (16, 9), (3, 11), (8, 3), (11, 15), (34, 15), (16, 14), (25, 0), (25, 9), (23, 3), (9, 21), (12, 28), (37, 3), (14, 9), (25, 13), (7, 22), (24, 15), (4, 15), (26, 24), (34, 17), (12, 17), (37, 8), (2, 21), (25, 30), (8, 17), (8, 20), (36, 17), (27, 13), (21, 25), (13, 3), (37, 9), (18, 8), (12, 21), (38, 21), (9, 5), (31, 25), (23, 0), (13, 1), (7, 18), (10, 24), (22, 2), (34, 21), (11, 10), (12, 16), (31, 21), (23, 19), (21, 27), (0, 19), (28, 20), (0, 15), (29, 10), (18, 16), (1, 27), (18, 21), (10, 11), (13, 26), (9, 16), (2, 9), (7, 29), (4, 9), (32, 25), (34, 11), (29, 18), (22, 6), (35, 10), (15, 3), (13, 22), (23, 15), (25, 23), (17, 9), (28, 8), (29, 5), (19, 11), (8, 8), (34, 22), (18, 5), (15, 15), (29, 9), (7, 30), (33, 19), (12, 2), (8, 2), (37, 21), (9, 18), (2, 1), (11, 27), (25, 11), (30, 2), (3, 0), (26, 16), (33, 14), (14, 25), (30, 29), (3, 6), (24, 20), (19, 24), (23, 9), (30, 22), (17, 5), (26, 6), (15, 28), (19, 13), (33, 26), (4, 28), (7, 20), (31, 15), (16, 3), (13, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 5), (19, 24), (25, 18), (15, 16), (10, 8), (1, 25), (20, 14), (7, 10), (8, 18), (30, 18), (13, 16), (10, 31), (22, 25), (17, 6), (14, 20), (19, 19), (14, 23), (12, 19), (19, 21), (7, 17), (15, 21), (29, 6), (20, 2), (5, 22), (1, 8), (16, 18), (29, 15), (10, 20), (24, 22), (29, 21), (1, 0), (7, 8), (28, 13), (3, 2), (26, 17), (22, 24), (12, 15), (20, 28), (5, 35), (22, 29), (22, 2), (7, 9), (15, 31), (7, 27), (8, 10), (27, 33), (17, 17), (10, 15), (0, 24), (21, 35), (30, 8), (26, 10), (24, 1), (23, 0), (10, 21), (9, 5), (0, 20), (3, 28), (24, 11), (9, 20), (13, 0), (27, 9), (17, 3), (26, 23), (23, 2), (27, 31), (21, 26), (18, 22), (14, 9), (3, 5), (16, 29), (9, 15), (15, 5), (16, 34), (15, 24), (17, 16), (11, 16), (24, 13), (14, 33), (20, 17), (6, 7), (13, 14), (26, 13), (30, 2), (10, 34), (7, 12), (27, 23), (10, 1), (23, 33), (23, 15), (13, 22), (4, 8), (9, 17), (10, 19), (9, 19), (29, 12), (23, 17), (26, 28), (4, 33), (30, 19), (14, 35), (6, 8), (16, 32), (18, 31), (10, 4), (15, 14), (25, 12), (5, 23), (13, 35), (18, 12), (0, 26), (14, 22), (28, 10), (13, 29), (21, 8), (7, 33), (23, 8), (27, 18), (6, 28), (16, 19), (3, 3), (15, 11), (22, 6), (14, 1), (16, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 32x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 17), (20, 32), (29, 9), (28, 27), (28, 20), (16, 19), (26, 33), (3, 14), (16, 25), (17, 22), (25, 30), (8, 7), (25, 14), (15, 0), (15, 27), (27, 17), (8, 17), (12, 22), (26, 24), (19, 30), (26, 7), (20, 5), (27, 18), (13, 6), (10, 13), (17, 7), (26, 3), (29, 3), (3, 31), (1, 8), (28, 2), (11, 7), (18, 17), (1, 15), (15, 33), (0, 12), (29, 21), (31, 30), (21, 29), (29, 1), (6, 15), (4, 28), (26, 26), (8, 13), (15, 21), (3, 12), (15, 9), (2, 29), (1, 4), (9, 1), (3, 23), (8, 3), (10, 27), (25, 25), (21, 15), (31, 6), (19, 9), (4, 30), (25, 9), (27, 32), (22, 0), (12, 8), (27, 33), (7, 25), (14, 13), (15, 14), (20, 29), (19, 19), (17, 28), (25, 33), (30, 7), (5, 2), (16, 7), (28, 17), (21, 1), (14, 5), (2, 25), (2, 9), (9, 26), (1, 26), (30, 19), (12, 5), (8, 4), (9, 3), (27, 15), (3, 27), (21, 12), (27, 23), (23, 6), (13, 14), (28, 3), (4, 21), (13, 7), (20, 21), (22, 6), (22, 27), (5, 31), (11, 34), (13, 20), (6, 21), (31, 28), (16, 24), (11, 4), (23, 19), (2, 3), (19, 21), (19, 0), (29, 2), (3, 4), (20, 23), (19, 27), (16, 13), (14, 34), (19, 26), (19, 22), (11, 17), (10, 8), (20, 10), (9, 6), (29, 30), (18, 33), (9, 16), (9, 5), (7, 13), (15, 5), (27, 6), (5, 5), (5, 24), (21, 26), (20, 16), (22, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 33x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 21), (20, 22), (3, 1), (14, 13), (1, 29), (10, 2), (16, 5), (32, 10), (27, 27), (29, 29), (16, 6), (32, 15), (18, 20), (11, 14), (27, 20), (22, 15), (1, 2), (27, 1), (22, 17), (12, 13), (17, 31), (12, 1), (22, 8), (26, 31), (30, 8), (3, 7), (14, 19), (18, 8), (7, 0), (28, 14), (28, 7), (21, 17), (30, 18), (3, 21), (5, 31), (28, 11), (5, 16), (27, 0), (8, 22), (4, 3), (31, 24), (0, 15), (19, 26), (32, 17), (26, 7), (17, 15), (32, 18), (19, 9), (5, 3), (18, 1), (25, 27), (13, 29), (31, 29), (7, 8), (6, 21), (1, 31), (16, 23), (4, 22), (16, 4), (28, 18), (26, 21), (19, 10), (28, 10), (23, 0), (13, 25), (6, 26), (10, 6), (6, 9), (10, 22), (28, 16), (25, 14), (13, 17), (3, 17), (0, 21), (24, 1), (27, 21), (25, 24), (12, 6), (4, 23), (30, 11), (15, 18), (30, 22), (20, 12), (14, 12), (22, 21), (6, 2), (23, 6), (3, 4), (22, 6), (3, 26), (13, 6), (5, 23), (29, 17), (3, 28), (32, 28), (21, 19), (9, 12), (5, 18), (19, 13), (11, 26), (27, 7), (20, 16), (7, 14), (21, 4), (27, 30), (14, 6), (24, 12), (27, 4), (19, 21), (27, 22), (9, 14), (8, 0), (23, 26), (4, 28), (18, 3), (22, 24), (5, 27), (26, 28), (31, 22), (32, 7), (17, 14), (12, 26), (10, 0), (28, 27), (0, 29), (4, 9), (4, 21), (19, 15), (16, 9), (6, 6), (0, 26), (32, 1), (5, 22), (25, 11), (4, 6), (23, 16), (12, 14), (12, 10), (13, 5), (13, 28), (26, 27), (31, 19), (23, 15), (15, 22), (5, 1), (0, 4), (7, 22), (1, 0), (8, 27), (24, 24), (10, 5), (0, 27), (7, 29), (6, 7), (17, 17), (20, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 11), (29, 0), (15, 11), (5, 4), (11, 18), (7, 15), (7, 21), (22, 26), (19, 25), (14, 8), (28, 0), (20, 27), (4, 32), (13, 8), (25, 4), (14, 24), (18, 15), (26, 15), (11, 13), (29, 11), (8, 5), (22, 3), (1, 8), (16, 6), (28, 24), (16, 19), (25, 10), (5, 2), (4, 14), (1, 19), (18, 8), (12, 10), (20, 15), (18, 1), (26, 17), (21, 6), (22, 18), (8, 28), (21, 23), (23, 4), (1, 21), (23, 14), (21, 32), (24, 3), (14, 5), (25, 29), (3, 16), (13, 12), (4, 17), (27, 4), (29, 32), (27, 0), (10, 14), (6, 7), (5, 16), (11, 20), (20, 10), (17, 14), (22, 31), (3, 0), (7, 26), (21, 4), (26, 26), (0, 14), (1, 7), (10, 30), (17, 32), (19, 7), (13, 31), (30, 24), (10, 5), (28, 30), (13, 2), (17, 26), (21, 15), (18, 30), (16, 28), (4, 21), (29, 30), (13, 4), (22, 6), (15, 6), (26, 10), (23, 28), (10, 6), (29, 16), (11, 32), (25, 7), (7, 1), (29, 20), (22, 15), (8, 15), (23, 27), (3, 1), (17, 18), (19, 5), (11, 24), (20, 11), (30, 23), (9, 20), (18, 13), (28, 26), (23, 13), (11, 30), (9, 10), (26, 9), (10, 28), (22, 22), (18, 11), (21, 28), (13, 26), (25, 22), (3, 10), (19, 30), (30, 27), (12, 17), (7, 25), (14, 10), (29, 19), (6, 2), (4, 23), (3, 23), (24, 15), (0, 32), (1, 5), (0, 27), (24, 19), (24, 16), (0, 29), (2, 25), (0, 22), (14, 18), (22, 2), (17, 9), (30, 15), (20, 1), (15, 0), (3, 31), (3, 8), (7, 14), (7, 20), (25, 28), (20, 20), (21, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 35), (11, 34), (12, 27), (18, 0), (4, 22), (14, 36), (11, 19), (25, 8), (23, 2), (11, 18), (19, 1), (29, 23), (30, 5), (15, 3), (32, 19), (24, 1), (5, 1), (19, 19), (26, 1), (14, 32), (25, 30), (18, 35), (29, 33), (15, 34), (26, 28), (10, 32), (26, 9), (1, 10), (25, 21), (30, 17), (10, 34), (30, 6), (30, 35), (20, 25), (24, 0), (20, 17), (13, 2), (2, 24), (4, 23), (17, 7), (31, 9), (13, 28), (32, 22), (0, 5), (15, 23), (3, 36), (10, 14), (23, 26), (31, 17), (0, 10), (5, 24), (5, 10), (28, 37), (32, 27), (27, 14), (2, 20), (15, 29), (11, 0), (26, 18), (19, 18), (1, 22), (20, 20), (1, 33), (6, 35), (27, 30), (3, 28), (20, 5), (27, 11), (5, 14), (0, 21), (28, 34), (28, 9), (3, 19), (28, 3), (19, 6), (16, 9), (17, 12), (12, 0), (6, 18), (15, 11), (18, 13), (1, 21), (6, 33), (8, 35), (20, 0), (12, 19), (12, 3), (19, 13), (15, 17), (3, 10), (28, 2), (17, 32), (29, 10), (18, 22), (10, 35), (11, 20), (20, 24), (5, 34), (5, 20), (10, 12), (21, 18), (0, 2), (5, 26), (19, 3), (4, 11), (2, 30), (32, 5), (3, 23), (8, 25), (3, 37), (13, 3), (13, 1), (31, 33), (13, 5), (1, 24), (3, 13), (6, 17), (9, 9), (10, 6), (28, 30), (29, 17), (20, 23), (8, 16), (32, 16), (10, 19), (4, 0), (15, 13), (9, 25), (15, 25), (20, 35), (15, 18), (12, 32), (28, 11), (2, 25), (5, 19), (26, 8), (32, 2), (10, 23), (22, 2), (20, 19), (24, 12), (1, 30), (9, 28), (27, 34), (25, 2), (26, 34), (20, 27), (15, 37), (5, 30), (10, 13), (21, 26), (27, 15), (30, 33), (15, 8), (10, 4), (31, 16), (8, 24), (15, 35), (32, 21), (16, 21), (5, 11), (8, 20), (17, 11), (17, 24), (3, 21), (2, 9), (29, 32), (17, 15), (5, 5), (9, 3), (24, 36), (1, 15), (31, 34), (31, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 34x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 22), (28, 29), (14, 16), (11, 16), (19, 19), (10, 26), (17, 14), (20, 22), (23, 12), (26, 21), (0, 19), (12, 6), (3, 25), (18, 23), (7, 9), (6, 5), (26, 14), (16, 19), (3, 19), (10, 13), (3, 4), (26, 19), (30, 1), (6, 27), (1, 13), (18, 6), (20, 6), (13, 20), (17, 0), (7, 21), (19, 28), (27, 26), (29, 16), (21, 3), (28, 22), (15, 18), (32, 14), (14, 29), (18, 15), (23, 17), (15, 5), (24, 1), (30, 25), (10, 19), (19, 23), (31, 21), (16, 4), (23, 11), (11, 21), (32, 6), (10, 22), (32, 0), (1, 12), (15, 11), (28, 15), (9, 6), (21, 4), (21, 22), (15, 3), (30, 24), (29, 23), (17, 21), (20, 2), (30, 5), (17, 3), (26, 0), (19, 17), (29, 19), (15, 29), (1, 9), (21, 15), (23, 20), (11, 12), (11, 27), (2, 28), (28, 3), (3, 8), (2, 29), (1, 17), (13, 26), (14, 22), (20, 1), (0, 24), (31, 27), (17, 9), (33, 1), (9, 11), (22, 22), (30, 19), (2, 23), (1, 0), (12, 24), (10, 27), (13, 8), (12, 16), (15, 0), (20, 9), (29, 4), (27, 10), (30, 18), (22, 29), (26, 26), (10, 21), (32, 12), (28, 7), (23, 4), (33, 10), (14, 3), (12, 15), (10, 6), (2, 26), (20, 8), (19, 3), (32, 1), (14, 21), (29, 7), (16, 22), (33, 5), (12, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 31), (25, 18), (30, 8), (10, 4), (33, 11), (26, 5), (2, 27), (32, 29), (0, 19), (12, 0), (3, 31), (22, 23), (6, 16), (18, 23), (34, 14), (19, 4), (34, 15), (8, 1), (5, 27), (22, 2), (28, 7), (36, 6), (35, 32), (0, 22), (35, 17), (0, 27), (29, 26), (35, 22), (4, 5), (14, 7), (11, 16), (28, 22), (5, 26), (16, 23), (11, 23), (19, 31), (36, 24), (24, 12), (15, 26), (5, 13), (30, 26), (11, 24), (31, 11), (29, 30), (17, 32), (27, 3), (12, 25), (24, 21), (27, 8), (20, 25), (35, 18), (21, 17), (0, 2), (5, 20), (36, 0), (7, 13), (20, 22), (28, 28), (16, 7), (35, 5), (16, 19), (27, 30), (34, 12), (12, 29), (23, 15), (26, 2), (1, 13), (16, 4), (20, 20), (23, 8), (18, 30), (32, 14), (13, 1), (25, 17), (3, 23), (33, 20), (5, 25), (26, 28), (9, 20), (23, 30), (3, 14), (14, 20), (33, 12), (4, 28), (37, 4), (18, 4), (7, 10), (8, 31), (15, 4), (21, 28), (5, 4), (23, 13), (28, 5), (19, 8), (7, 12), (10, 32), (22, 24), (34, 22), (34, 21), (27, 18), (32, 16), (26, 18), (3, 30), (9, 1), (31, 18), (29, 19), (5, 18), (20, 31), (26, 8), (27, 32), (24, 19), (34, 13), (16, 14), (12, 19), (9, 2), (10, 1), (9, 16), (7, 9), (5, 7), (24, 18), (17, 5), (23, 25), (34, 8), (34, 2), (25, 27), (25, 6), (33, 21), (4, 4), (31, 23), (12, 10), (13, 20), (35, 0), (36, 5), (28, 14), (19, 22), (17, 2), (34, 0), (8, 2), (34, 5), (28, 10), (32, 12), (34, 20), (1, 19), (11, 1), (3, 8), (11, 30), (27, 22), (27, 15), (27, 25), (33, 15), (23, 29), (15, 9), (6, 9), (34, 9), (18, 28), (8, 8), (28, 16), (14, 28), (7, 22), (30, 22), (1, 27), (9, 3), (10, 3), (10, 29), (8, 12), (7, 19), (3, 9), (10, 21), (19, 25), (34, 10), (22, 19), (2, 25), (27, 21), (9, 4), (23, 18), (31, 26), (26, 15), (3, 13), (33, 3), (4, 32), (35, 28), (33, 18), (28, 19), (32, 2), (12, 4), (17, 3), (21, 29), (25, 22), (3, 24), (3, 1), (15, 21), (24, 31), (4, 25), (11, 9), (25, 10), (35, 27), (28, 15), (29, 0), (33, 6), (14, 21), (14, 5), (33, 23), (27, 10), (25, 14), (37, 19), (35, 20), (33, 13), (25, 24), (28, 21), (13, 17), (17, 0), (1, 12), (18, 27), (1, 24), (29, 16), (31, 25), (12, 11), (33, 5), (10, 26), (14, 10), (6, 18), (2, 17), (15, 19), (10, 24), (12, 22), (19, 14), (2, 13), (14, 25), (9, 23), (24, 5), (13, 28), (6, 3), (4, 9), (26, 31), (1, 28), (11, 6), (3, 12), (20, 16), (4, 30), (1, 23), (24, 20), (18, 11), (0, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 37x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 14), (12, 27), (6, 3), (21, 14), (22, 19), (33, 34), (22, 5), (11, 24), (12, 18), (6, 24), (33, 17), (16, 14), (9, 19), (24, 13), (26, 22), (22, 4), (35, 12), (3, 4), (13, 26), (17, 12), (10, 14), (9, 22), (23, 6), (34, 17), (13, 1), (11, 1), (4, 1), (33, 11), (8, 11), (24, 12), (1, 0), (7, 10), (29, 19), (15, 13), (23, 15), (15, 29), (29, 9), (24, 6), (21, 16), (29, 21), (25, 26), (20, 24), (13, 29), (32, 26), (30, 30), (29, 12), (17, 23), (12, 16), (0, 10), (29, 3), (3, 5), (31, 35), (30, 15), (36, 29), (29, 16), (5, 11), (28, 16), (30, 5), (8, 1), (7, 19), (18, 1), (7, 29), (25, 16), (18, 35), (36, 4), (19, 23), (30, 25), (19, 0), (13, 16), (25, 17), (4, 11), (28, 33), (11, 19), (21, 25), (22, 26), (32, 30), (26, 27), (22, 7), (6, 11), (18, 4), (31, 16), (22, 1), (4, 0), (11, 18), (18, 28), (4, 24), (13, 10), (18, 12), (24, 24), (33, 12), (31, 11), (36, 26), (2, 28), (29, 17), (35, 10), (3, 14), (11, 32), (33, 22), (13, 9), (32, 25), (17, 6), (5, 22), (30, 7), (31, 31), (8, 33), (28, 4), (9, 9), (35, 9), (18, 24), (1, 29), (9, 15), (29, 8), (1, 30), (14, 5), (20, 14), (14, 13), (19, 27), (12, 13), (2, 27), (3, 29), (3, 8), (29, 29), (0, 34), (19, 9), (22, 25), (33, 24), (6, 19), (8, 14), (4, 18), (6, 15), (0, 33), (28, 15), (3, 6), (28, 17), (10, 35), (9, 7), (20, 29), (15, 27), (22, 15), (10, 6), (35, 23), (3, 13), (28, 21), (30, 0), (17, 14), (18, 16), (32, 0), (17, 26), (30, 13), (20, 7), (6, 8), (26, 16), (18, 19), (6, 1), (32, 6), (23, 3), (23, 18), (10, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 34x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 0), (0, 3), (0, 8), (14, 2), (25, 4), (29, 19), (12, 26), (5, 33), (16, 24), (13, 34), (32, 34), (5, 35), (25, 33), (28, 14), (21, 5), (22, 6), (22, 28), (24, 8), (20, 3), (14, 32), (4, 29), (5, 14), (20, 5), (11, 12), (29, 29), (29, 18), (23, 20), (6, 26), (27, 25), (13, 21), (25, 10), (16, 34), (32, 27), (32, 30), (2, 24), (18, 26), (22, 30), (11, 24), (12, 7), (5, 24), (19, 11), (31, 7), (12, 18), (33, 27), (8, 6), (14, 10), (30, 14), (9, 5), (9, 25), (29, 11), (26, 10), (7, 12), (15, 26), (30, 9), (9, 34), (1, 38), (29, 1), (10, 27), (7, 14), (28, 28), (16, 5), (27, 2), (18, 31), (0, 2), (29, 32), (18, 5), (24, 13), (3, 28), (0, 35), (32, 24), (18, 15), (16, 12), (0, 18), (29, 33), (0, 27), (6, 22), (16, 37), (17, 6), (21, 9), (28, 13), (31, 0), (14, 12), (25, 13), (25, 36), (27, 1), (9, 16), (15, 29), (28, 37), (28, 5), (16, 16), (5, 36), (10, 23), (8, 31), (23, 34), (7, 6), (19, 23), (20, 15), (4, 36), (10, 7), (28, 29), (4, 1), (21, 28), (3, 27), (10, 22), (31, 37), (11, 29), (17, 7), (25, 29), (31, 29), (28, 12), (8, 32), (30, 36), (9, 2), (11, 38), (20, 7), (0, 37), (26, 8), (28, 35), (15, 38), (24, 38), (6, 29), (18, 16), (18, 22), (6, 38), (22, 9), (31, 28), (5, 30), (5, 18), (18, 35), (32, 21), (7, 15), (2, 37), (6, 17), (33, 12), (8, 3), (5, 23), (22, 5), (19, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 24), (14, 28), (12, 0), (26, 17), (20, 26), (5, 6), (2, 1), (21, 17), (19, 11), (15, 6), (1, 6), (6, 28), (13, 19), (29, 9), (16, 5), (28, 30), (9, 30), (16, 11), (13, 2), (27, 24), (25, 31), (21, 21), (31, 13), (10, 27), (4, 29), (34, 3), (23, 15), (3, 3), (24, 21), (5, 12), (16, 26), (1, 29), (28, 19), (28, 20), (34, 18), (6, 7), (8, 20), (17, 11), (12, 1), (15, 24), (34, 15), (19, 23), (7, 9), (13, 28), (18, 18), (31, 3), (0, 20), (8, 2), (28, 1), (13, 4), (6, 27), (31, 0), (27, 20), (18, 9), (25, 29), (25, 27), (11, 15), (15, 19), (22, 4), (32, 20), (34, 30), (0, 28), (16, 15), (19, 21), (6, 22), (20, 3), (29, 30), (31, 20), (5, 14), (9, 3), (22, 22), (19, 7), (32, 3), (22, 5), (3, 1), (2, 12), (33, 17), (4, 25), (5, 26), (34, 27), (10, 3), (10, 24), (0, 12), (10, 32), (5, 15), (8, 26), (13, 18), (7, 8), (34, 16), (14, 11), (4, 11), (24, 9), (8, 7), (0, 30), (10, 16), (15, 3), (11, 1), (22, 29), (25, 18), (34, 6), (33, 10), (23, 28), (24, 12), (13, 23), (20, 21), (25, 23), (1, 21), (34, 25), (17, 9), (31, 11), (28, 14), (13, 25), (24, 28), (26, 21), (24, 19), (8, 22), (18, 21), (9, 32), (6, 20), (4, 14), (30, 31), (6, 0), (30, 25), (18, 16), (2, 7), (2, 4), (23, 31), (20, 5), (17, 27), (15, 20), (15, 21), (5, 24), (34, 24), (3, 27), (18, 23), (9, 23), (32, 25), (31, 5), (29, 8), (17, 16), (0, 8), (1, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 38x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (36, 14), (32, 27), (28, 27), (10, 24), (27, 18), (28, 33), (2, 3), (9, 24), (36, 0), (2, 18), (26, 24), (12, 19), (21, 6), (11, 23), (3, 11), (26, 6), (9, 6), (25, 22), (7, 31), (4, 31), (12, 7), (32, 31), (15, 17), (23, 9), (29, 5), (9, 14), (29, 23), (20, 8), (21, 9), (28, 25), (36, 31), (7, 23), (34, 18), (1, 30), (10, 32), (19, 6), (33, 4), (27, 21), (37, 6), (1, 16), (30, 20), (19, 23), (25, 8), (15, 20), (0, 30), (31, 0), (23, 31), (2, 9), (26, 1), (14, 18), (20, 26), (10, 22), (18, 27), (28, 14), (7, 3), (23, 11), (26, 33), (22, 20), (33, 10), (33, 27), (23, 30), (15, 32), (6, 27), (36, 28), (25, 11), (21, 11), (31, 28), (18, 28), (37, 8), (29, 13), (20, 16), (6, 17), (36, 18), (28, 8), (22, 28), (0, 17), (27, 27), (16, 25), (35, 23), (24, 9), (29, 3), (35, 13), (19, 16), (27, 33), (21, 22), (5, 4), (20, 3), (11, 5), (36, 30), (23, 7), (26, 22), (13, 22), (33, 31), (22, 31), (3, 24), (23, 28), (23, 13), (22, 3), (18, 0), (9, 10), (33, 20), (36, 24), (26, 20), (19, 24), (22, 30), (6, 2), (15, 3), (27, 30), (23, 15), (23, 14), (3, 6), (17, 15), (30, 19), (34, 0), (35, 8), (18, 8), (31, 30), (14, 33), (33, 16), (2, 29), (3, 22), (13, 8), (24, 22), (30, 14), (6, 7), (26, 16), (20, 11), (18, 31), (34, 14), (3, 32), (34, 16), (28, 4), (6, 23), (35, 18), (15, 23), (15, 16), (0, 7), (21, 27), (31, 21), (33, 15), (11, 4), (36, 4), (3, 26), (15, 19), (28, 26), (19, 30), (1, 22), (9, 17), (10, 13), (10, 10), (30, 21), (14, 1), (19, 3), (5, 32), (11, 10), (8, 2), (19, 26), (7, 15), (11, 12), (32, 13), (13, 13), (21, 19), (16, 31), (7, 28), (2, 16), (15, 29), (16, 26), (16, 13), (19, 21), (19, 1), (32, 26), (34, 7), (2, 21), (9, 28), (1, 19), (29, 15), (33, 25), (11, 24), (14, 5), (17, 6), (15, 24), (8, 14), (12, 9), (1, 18), (26, 11), (4, 15), (7, 20), (25, 6), (31, 13), (19, 4), (1, 20), (13, 24), (1, 33), (31, 19), (8, 18), (14, 21), (32, 14), (4, 14), (7, 12), (25, 0), (5, 11), (17, 28), (5, 18), (29, 19), (27, 24), (35, 21), (4, 3), (2, 14), (19, 5), (37, 22), (32, 19), (11, 2), (36, 22), (18, 16), (4, 20), (6, 4), (9, 20), (24, 23), (20, 2), (19, 25), (26, 25), (25, 2), (31, 24), (37, 10), (13, 19), (22, 18), (26, 7), (29, 22), (5, 20), (14, 24), (20, 22), (0, 14), (0, 18), (21, 28), (10, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (30, 24), (18, 18), (29, 20), (18, 15), (27, 27), (23, 5), (1, 24), (1, 10), (20, 2), (18, 0), (22, 27), (11, 1), (4, 20), (24, 21), (10, 29), (23, 9), (16, 1), (12, 11), (23, 21), (19, 16), (17, 5), (27, 24), (20, 6), (26, 25), (15, 2), (0, 17), (18, 27), (30, 19), (22, 12), (4, 11), (8, 29), (6, 21), (11, 13), (30, 23), (30, 17), (27, 17), (9, 4), (17, 8), (12, 10), (12, 2), (28, 6), (4, 1), (20, 28), (25, 0), (24, 14), (27, 7), (12, 16), (5, 10), (29, 21), (25, 29), (30, 14), (2, 25), (2, 29), (4, 19), (19, 6), (8, 21), (24, 3), (9, 24), (2, 21), (13, 18), (17, 16), (14, 17), (1, 22), (25, 5), (9, 10), (6, 1), (25, 7), (0, 18), (17, 21), (1, 8), (23, 22), (21, 7), (23, 17), (21, 17), (11, 10), (13, 11), (12, 19), (21, 13), (11, 11), (28, 10), (30, 25), (17, 22), (0, 27), (1, 20), (19, 1), (21, 18), (13, 10), (20, 22), (9, 23), (5, 0), (7, 24), (22, 9), (14, 14), (7, 17), (3, 22), (24, 23), (7, 29), (23, 1), (1, 19), (25, 18), (11, 4), (18, 6), (18, 12), (28, 25), (27, 18), (22, 3), (1, 14), (14, 22), (24, 18), (29, 27), (21, 16), (6, 7), (23, 2), (29, 15), (1, 12), (0, 19), (25, 22), (6, 10), (13, 0), (25, 27), (7, 22), (14, 11), (3, 2), (0, 1), (17, 4), (9, 18), (17, 13), (29, 6), (0, 11), (8, 3), (18, 21), (30, 7), (12, 27), (26, 6), (24, 29), (2, 16), (7, 16), (28, 28), (25, 8), (18, 7), (5, 12), (17, 20), (29, 5), (19, 28), (17, 17), (28, 1), (7, 10), (15, 21), (10, 10), (13, 28), (3, 16), (17, 18), (27, 19), (4, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 28), (17, 16), (6, 9), (29, 1), (17, 26), (36, 13), (36, 1), (4, 14), (11, 25), (32, 7), (16, 27), (0, 27), (23, 8), (37, 11), (20, 29), (13, 11), (26, 11), (38, 22), (29, 20), (19, 20), (16, 18), (7, 24), (32, 23), (35, 19), (9, 3), (28, 12), (18, 23), (12, 8), (34, 9), (22, 15), (36, 12), (19, 7), (1, 3), (1, 15), (1, 29), (18, 11), (4, 7), (34, 19), (13, 13), (28, 0), (28, 15), (33, 4), (17, 29), (19, 17), (37, 20), (25, 20), (33, 9), (26, 15), (27, 24), (38, 20), (35, 26), (0, 29), (2, 11), (35, 23), (22, 17), (17, 23), (30, 22), (21, 17), (13, 15), (17, 0), (9, 16), (33, 8), (11, 19), (18, 10), (15, 26), (35, 2), (34, 25), (7, 27), (33, 23), (9, 13), (27, 0), (8, 21), (4, 6), (7, 28), (22, 6), (12, 13), (17, 2), (6, 20), (0, 24), (12, 15), (7, 7), (26, 3), (13, 6), (16, 11), (25, 15), (26, 0), (15, 20), (32, 12), (37, 27), (16, 22), (31, 11), (28, 7), (18, 26), (1, 26), (21, 27), (36, 6), (1, 4), (10, 23), (2, 6), (31, 18), (15, 12), (38, 21), (0, 20), (17, 27), (35, 24), (33, 1), (5, 24), (6, 17), (2, 19), (4, 5), (4, 9), (21, 4), (35, 13), (24, 21), (23, 15), (6, 26), (37, 13), (0, 3), (34, 20), (34, 8), (9, 29), (34, 0), (21, 5), (11, 6), (30, 13), (3, 20), (38, 24), (36, 5), (10, 24), (28, 10), (2, 17), (35, 15), (2, 4), (36, 20), (32, 25), (20, 19), (38, 23), (7, 21), (2, 18), (17, 8), (10, 11), (12, 28), (33, 22), (11, 1), (6, 2), (2, 28), (28, 24), (22, 2), (36, 21), (8, 5), (12, 7), (9, 26), (33, 19), (7, 17), (7, 10), (20, 15), (24, 1), (26, 28), (26, 8), (5, 19), (7, 25), (23, 1), (22, 18), (33, 12), (32, 20), (37, 17), (2, 16), (32, 17), (25, 18), (23, 19), (5, 21), (17, 1), (29, 5), (15, 29), (27, 4), (6, 0), (31, 27), (9, 5), (2, 26), (19, 23), (35, 9), (19, 12), (38, 9), (34, 5), (1, 17), (14, 10), (35, 3), (7, 9), (23, 27), (31, 23), (29, 4), (12, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 8), (23, 2), (16, 2), (6, 8), (8, 15), (11, 10), (13, 16), (31, 6), (7, 8), (11, 2), (5, 12), (14, 34), (21, 17), (28, 16), (18, 36), (10, 17), (5, 37), (11, 21), (29, 4), (13, 30), (9, 33), (4, 18), (26, 23), (32, 3), (10, 28), (15, 1), (16, 6), (18, 24), (23, 29), (6, 5), (0, 14), (4, 13), (25, 6), (6, 14), (16, 26), (2, 32), (5, 4), (25, 19), (3, 0), (9, 17), (5, 14), (30, 18), (1, 9), (14, 22), (23, 16), (13, 15), (11, 1), (15, 38), (4, 23), (30, 10), (29, 22), (12, 7), (21, 23), (20, 7), (14, 24), (8, 22), (19, 26), (11, 5), (21, 33), (31, 0), (6, 25), (16, 23), (3, 22), (28, 28), (21, 38), (15, 33), (7, 38), (16, 20), (22, 11), (15, 13), (12, 11), (24, 37), (16, 14), (12, 32), (17, 4), (20, 14), (4, 24), (7, 37), (29, 11), (5, 10), (10, 32), (31, 30), (11, 35), (0, 15), (30, 38), (3, 5), (17, 21), (12, 22), (2, 38), (25, 36), (16, 7), (13, 19), (16, 4), (26, 34), (6, 17), (7, 29), (11, 37), (11, 23), (28, 24), (16, 35), (5, 17), (13, 9), (25, 3), (17, 23), (29, 30), (11, 7), (20, 13), (17, 8), (6, 19), (27, 16), (14, 38), (7, 22), (20, 23), (31, 22), (6, 3), (14, 1), (26, 13), (30, 0), (17, 15), (16, 9), (2, 1), (7, 33), (1, 6), (28, 0), (27, 0), (27, 21), (13, 31), (13, 11), (10, 8), (20, 8), (13, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 32x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 16), (12, 26), (5, 1), (15, 3), (15, 26), (8, 24), (9, 2), (4, 13), (3, 21), (17, 8), (17, 0), (3, 3), (3, 0), (4, 5), (23, 19), (3, 32), (14, 4), (21, 0), (29, 25), (21, 10), (19, 23), (6, 30), (29, 26), (28, 3), (3, 30), (0, 25), (29, 31), (1, 20), (27, 19), (28, 29), (10, 19), (24, 3), (6, 35), (11, 2), (10, 16), (12, 25), (19, 25), (27, 21), (19, 15), (0, 4), (31, 21), (18, 2), (14, 29), (0, 27), (31, 15), (16, 27), (7, 35), (16, 3), (17, 11), (13, 15), (9, 26), (29, 12), (0, 35), (21, 12), (5, 29), (30, 33), (27, 27), (15, 14), (0, 9), (11, 7), (28, 19), (0, 31), (15, 1), (8, 22), (16, 17), (4, 17), (13, 0), (3, 7), (25, 31), (3, 25), (5, 16), (7, 29), (7, 13), (14, 31), (5, 23), (22, 28), (3, 11), (5, 2), (23, 25), (19, 34), (19, 33), (1, 4), (9, 27), (26, 15), (27, 17), (29, 2), (14, 22), (15, 11), (19, 7), (22, 18), (2, 11), (2, 14), (26, 1), (19, 11), (19, 10), (27, 18), (23, 15), (13, 20), (9, 15), (11, 24), (8, 8), (25, 32), (11, 28), (14, 26), (16, 21), (22, 9), (13, 4), (26, 9), (2, 31), (4, 27), (10, 3), (15, 5), (24, 20), (30, 18), (4, 2), (1, 5), (19, 2), (11, 12), (19, 13), (21, 29), (19, 17), (13, 34), (14, 25), (5, 18), (28, 20), (22, 22), (18, 20), (9, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 5), (16, 14), (18, 3), (27, 6), (4, 16), (17, 3), (13, 11), (27, 12), (28, 15), (26, 10), (24, 7), (23, 24), (1, 27), (2, 10), (1, 10), (27, 17), (15, 17), (8, 26), (16, 20), (2, 19), (15, 8), (20, 2), (28, 24), (5, 27), (20, 9), (0, 9), (9, 19), (8, 2), (2, 5), (18, 0), (0, 4), (2, 22), (25, 13), (10, 14), (26, 18), (20, 18), (22, 13), (18, 6), (17, 23), (28, 9), (15, 25), (8, 23), (24, 4), (9, 13), (2, 21), (8, 30), (1, 18), (8, 29), (27, 8), (21, 19), (0, 11), (15, 26), (23, 14), (8, 13), (27, 26), (14, 24), (12, 6), (17, 5), (4, 1), (1, 4), (28, 10), (18, 21), (18, 28), (5, 30), (16, 22), (5, 23), (15, 16), (23, 21), (5, 20), (9, 10), (10, 15), (18, 13), (13, 23), (17, 7), (26, 28), (16, 27), (19, 2), (1, 21), (12, 11), (9, 3), (27, 16), (25, 11), (20, 1), (13, 21), (19, 19), (6, 11), (9, 0), (14, 2), (29, 1), (26, 29), (8, 1), (11, 1), (18, 15), (23, 17), (14, 11), (26, 21), (26, 14), (20, 25), (0, 6), (12, 7), (13, 12), (12, 8), (2, 25), (20, 6), (12, 15), (5, 11), (5, 2), (7, 17), (25, 25), (25, 4), (29, 17), (23, 22), (11, 23), (27, 22), (11, 19), (18, 27), (5, 12), (10, 13), (15, 24), (6, 2), (4, 13), (6, 1), (3, 14), (4, 23), (17, 25), (6, 23), (1, 23), (29, 0), (24, 8), (15, 29), (7, 28), (6, 27), (13, 17), (22, 29), (23, 0), (17, 22), (27, 7), (1, 22), (17, 10), (26, 19), (6, 17), (15, 5), (13, 0), (21, 0), (2, 6), (10, 1), (4, 2), (1, 26), (14, 27), (28, 8), (14, 28), (24, 0), (9, 24), (23, 5), (9, 23), (5, 1), (7, 6), (14, 17), (22, 25), (1, 28), (2, 29), (11, 27), (11, 3), (14, 12), (7, 18), (4, 10), (2, 11), (21, 28), (18, 16), (14, 25), (29, 11), (17, 29), (9, 15), (13, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 10), (3, 10), (19, 10), (12, 2), (3, 0), (3, 1), (10, 30), (19, 15), (33, 8), (5, 9), (8, 21), (18, 12), (14, 28), (12, 1), (28, 5), (4, 3), (6, 8), (13, 23), (0, 2), (3, 27), (32, 2), (15, 22), (11, 31), (26, 15), (9, 23), (22, 17), (11, 0), (4, 7), (13, 30), (18, 8), (5, 18), (2, 5), (31, 15), (17, 2), (2, 20), (7, 11), (33, 27), (29, 20), (1, 27), (33, 5), (11, 7), (1, 6), (15, 21), (28, 24), (6, 26), (13, 4), (14, 4), (3, 30), (28, 22), (13, 10), (2, 23), (33, 14), (5, 17), (16, 9), (12, 17), (32, 11), (24, 7), (11, 4), (22, 2), (20, 3), (29, 30), (11, 9), (18, 17), (2, 25), (28, 3), (22, 13), (6, 19), (22, 22), (20, 14), (32, 16), (0, 15), (25, 0), (15, 3), (33, 1), (26, 18), (33, 7), (0, 4), (4, 26), (13, 5), (11, 13), (1, 25), (11, 8), (18, 25), (1, 29), (14, 26), (13, 1), (16, 10), (7, 16), (9, 22), (14, 3), (11, 17), (17, 23), (17, 14), (26, 19), (30, 29), (14, 13), (27, 20), (26, 17), (9, 13), (29, 15), (4, 11), (21, 16), (31, 30), (11, 12), (25, 15), (31, 18), (12, 30), (11, 11), (16, 31), (11, 20), (23, 27), (27, 22), (26, 4), (21, 29), (32, 28), (32, 20), (3, 13), (1, 26), (6, 23), (15, 25), (5, 30), (33, 17), (7, 6), (19, 4), (17, 21), (31, 14), (25, 26), (24, 0), (30, 0), (10, 4), (25, 23), (32, 31), (10, 12), (29, 12), (29, 6), (4, 31), (16, 14), (21, 18), (29, 18), (15, 12), (29, 7), (27, 7), (1, 9), (8, 6), (18, 1), (10, 8), (29, 9), (28, 31), (13, 13), (24, 24), (14, 11), (13, 2), (28, 28), (17, 12), (31, 22), (16, 4), (4, 10), (18, 14), (10, 15), (11, 18), (25, 10), (21, 30), (21, 17), (3, 25), (9, 29), (3, 19), (13, 27), (33, 15), (12, 28), (10, 24), (27, 18), (23, 9), (28, 27), (2, 27), (19, 25), (2, 14), (29, 24), (13, 15), (18, 9), (5, 5), (27, 24), (13, 8), (2, 28), (16, 3), (27, 5), (6, 3), (13, 25), (30, 31), (12, 6), (2, 31), (2, 18), (27, 16), (4, 19), (28, 9), (16, 21), (31, 1), (21, 14), (1, 31), (14, 18), (1, 19), (19, 19), (30, 5), (8, 30), (13, 6), (29, 27), (25, 18), (32, 25), (13, 22), (27, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "12", "dataset": "MATH"}
{"messages": [{"content": "In a 34x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 2), (22, 5), (25, 0), (1, 4), (28, 0), (21, 29), (13, 4), (17, 27), (10, 14), (29, 0), (20, 21), (14, 19), (1, 28), (21, 27), (16, 4), (24, 30), (27, 5), (26, 3), (28, 12), (5, 26), (3, 29), (8, 20), (33, 22), (13, 6), (5, 24), (27, 26), (16, 24), (3, 18), (24, 0), (1, 15), (19, 9), (14, 16), (29, 15), (3, 13), (19, 20), (4, 4), (22, 6), (30, 4), (18, 19), (2, 18), (28, 23), (14, 17), (24, 1), (0, 18), (18, 6), (0, 10), (17, 2), (20, 2), (6, 8), (32, 31), (33, 27), (31, 21), (19, 6), (16, 25), (20, 14), (5, 9), (6, 5), (9, 13), (24, 18), (4, 25), (16, 3), (2, 1), (7, 27), (23, 7), (10, 9), (21, 26), (33, 1), (16, 7), (20, 16), (9, 28), (26, 20), (0, 14), (19, 26), (5, 8), (19, 4), (22, 0), (27, 23), (15, 19), (5, 22), (1, 1), (13, 15), (19, 16), (22, 16), (25, 24), (14, 15), (29, 27), (12, 4), (17, 8), (2, 11), (30, 1), (24, 8), (23, 14), (8, 8), (7, 11), (10, 0), (17, 30), (16, 15), (7, 1), (27, 12), (0, 26), (9, 1), (12, 19), (33, 28), (9, 22), (10, 27), (25, 29), (16, 8), (16, 28), (27, 18), (23, 12), (9, 0), (16, 17), (4, 1), (15, 2), (1, 5), (20, 11), (11, 26), (5, 31), (24, 26), (28, 28), (21, 6), (26, 10), (5, 28), (5, 18), (18, 27), (0, 31), (7, 2), (11, 14), (12, 21), (0, 4), (30, 17), (18, 17), (31, 20), (9, 10), (17, 26), (4, 21), (3, 14), (2, 29), (19, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 35x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 6), (15, 8), (29, 31), (0, 15), (29, 14), (0, 12), (11, 36), (5, 27), (25, 3), (5, 37), (5, 28), (34, 0), (17, 36), (15, 32), (8, 26), (29, 30), (17, 8), (32, 22), (4, 36), (12, 16), (21, 37), (5, 35), (29, 6), (10, 33), (12, 14), (6, 15), (27, 23), (22, 36), (21, 17), (14, 29), (24, 5), (29, 26), (27, 34), (33, 22), (14, 23), (17, 28), (15, 23), (21, 35), (11, 16), (4, 21), (27, 25), (15, 34), (3, 29), (11, 6), (3, 0), (18, 32), (9, 1), (26, 14), (22, 3), (0, 8), (29, 24), (17, 1), (6, 21), (28, 16), (6, 12), (30, 8), (0, 25), (31, 13), (12, 3), (1, 32), (19, 23), (9, 28), (8, 17), (25, 12), (33, 30), (11, 35), (15, 20), (15, 18), (20, 20), (0, 32), (18, 13), (19, 10), (33, 1), (25, 31), (17, 38), (0, 13), (28, 30), (4, 2), (4, 33), (34, 4), (17, 34), (6, 31), (11, 26), (20, 11), (22, 32), (18, 23), (20, 15), (1, 24), (7, 4), (33, 37), (2, 38), (13, 19), (0, 11), (34, 3), (30, 28), (21, 2), (34, 29), (6, 14), (22, 34), (15, 33), (0, 14), (17, 9), (19, 2), (24, 23), (7, 32), (21, 29), (14, 32), (31, 10), (32, 16), (26, 6), (27, 24), (2, 10), (8, 9), (19, 28), (34, 17), (7, 6), (7, 25), (32, 17), (25, 2), (28, 38), (20, 8), (24, 10), (3, 19), (16, 13), (27, 3), (15, 15), (20, 6), (3, 8), (31, 23), (8, 30), (22, 23), (14, 25), (31, 33), (19, 1), (4, 6), (25, 20), (11, 29), (5, 26), (7, 34), (34, 16), (18, 0), (31, 12), (12, 32), (17, 6), (2, 26), (15, 26), (2, 33), (19, 22), (11, 3), (26, 4), (6, 16), (8, 14), (1, 30), (17, 4), (0, 16), (26, 21), (16, 0), (15, 12), (18, 3), (11, 31), (22, 24), (4, 16), (6, 18), (27, 33), (2, 36), (8, 32), (19, 25), (18, 1), (15, 30), (1, 27), (12, 28), (11, 14), (13, 21), (31, 24), (2, 15), (33, 34), (2, 20), (31, 6), (21, 7), (12, 36), (1, 6), (31, 22), (0, 7), (3, 11), (33, 12), (6, 38), (15, 0), (6, 37), (22, 5), (6, 0), (9, 3), (7, 9), (26, 8), (9, 38), (17, 2), (22, 20), (32, 38), (16, 37), (5, 31), (1, 35), (23, 23), (26, 15), (27, 5), (16, 27), (6, 30), (24, 19), (10, 30), (6, 13), (10, 13), (17, 14), (13, 9), (30, 18), (34, 35), (10, 17), (7, 28), (0, 9), (24, 6), (27, 9), (19, 7), (34, 10), (20, 22), (19, 14), (0, 26), (7, 30), (17, 32), (21, 15), (32, 13), (18, 30), (1, 20), (10, 34), (33, 23), (5, 30), (31, 20), (28, 13), (4, 10), (6, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 19), (23, 13), (25, 9), (20, 4), (4, 22), (18, 9), (2, 26), (5, 29), (13, 3), (8, 13), (15, 32), (7, 0), (26, 27), (30, 0), (28, 22), (23, 2), (10, 29), (21, 5), (19, 15), (24, 31), (19, 2), (18, 21), (7, 20), (19, 21), (29, 18), (27, 7), (17, 13), (6, 24), (17, 1), (11, 3), (27, 24), (18, 29), (21, 23), (10, 2), (23, 29), (22, 8), (19, 10), (15, 31), (15, 2), (29, 7), (2, 13), (2, 30), (16, 6), (24, 29), (5, 12), (11, 23), (13, 19), (3, 30), (23, 4), (7, 30), (4, 27), (13, 14), (2, 16), (23, 14), (28, 15), (6, 13), (4, 20), (21, 18), (30, 19), (23, 32), (21, 4), (3, 2), (6, 8), (11, 32), (15, 28), (19, 26), (22, 9), (13, 33), (11, 24), (4, 21), (0, 1), (14, 9), (26, 8), (1, 32), (10, 22), (14, 22), (28, 10), (5, 16), (20, 9), (28, 23), (27, 27), (28, 29), (4, 34), (5, 5), (23, 12), (26, 1), (2, 14), (6, 4), (1, 26), (24, 1), (5, 34), (18, 25), (26, 10), (22, 3), (1, 1), (7, 34), (22, 11), (0, 24), (22, 33), (18, 22), (7, 13), (26, 30), (20, 14), (1, 6), (1, 28), (17, 0), (15, 30), (25, 34), (15, 15), (3, 24), (18, 11), (8, 26), (1, 8), (14, 11), (8, 12), (9, 19), (24, 24), (30, 16), (30, 18), (3, 11), (29, 8), (19, 5), (8, 18), (7, 17), (12, 28), (23, 27), (3, 32), (7, 28), (22, 25), (15, 29), (27, 8), (20, 16), (12, 6), (2, 12), (17, 5), (11, 10), (3, 6), (21, 31), (17, 2), (23, 26), (2, 4), (6, 17), (18, 27), (0, 6), (20, 11), (16, 29), (15, 6), (16, 10), (16, 0), (26, 21), (20, 27), (15, 23), (20, 17), (5, 11), (25, 13), (29, 30), (27, 21), (3, 21), (12, 33), (25, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 39x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (36, 11), (35, 15), (6, 0), (10, 21), (26, 8), (6, 15), (37, 25), (29, 16), (26, 24), (33, 28), (19, 13), (24, 26), (18, 7), (18, 6), (32, 17), (26, 18), (35, 2), (31, 25), (2, 14), (37, 12), (38, 2), (31, 0), (14, 18), (5, 10), (34, 17), (10, 25), (2, 6), (18, 0), (21, 14), (4, 8), (1, 17), (10, 9), (2, 4), (35, 12), (28, 13), (33, 20), (3, 19), (28, 25), (36, 8), (20, 27), (36, 17), (31, 19), (6, 3), (11, 23), (7, 20), (0, 15), (22, 12), (33, 6), (24, 15), (35, 3), (3, 27), (29, 8), (10, 20), (26, 14), (16, 29), (27, 18), (21, 6), (23, 22), (28, 23), (4, 11), (36, 23), (29, 11), (36, 20), (9, 7), (9, 12), (34, 20), (5, 2), (14, 27), (22, 9), (31, 24), (7, 6), (27, 22), (2, 8), (30, 22), (8, 5), (10, 27), (0, 24), (3, 29), (29, 23), (9, 29), (29, 7), (37, 20), (7, 28), (28, 28), (14, 19), (1, 24), (4, 29), (10, 11), (33, 5), (24, 21), (25, 7), (17, 25), (15, 2), (10, 0), (0, 9), (0, 25), (11, 25), (19, 5), (6, 20), (17, 20), (16, 25), (9, 14), (26, 7), (18, 5), (15, 7), (10, 8), (11, 15), (36, 5), (28, 19), (3, 14), (0, 20), (26, 20), (28, 12), (27, 3), (27, 13), (14, 2), (6, 14), (5, 26), (33, 23), (23, 14), (20, 23), (38, 3), (14, 14), (25, 24), (23, 26), (2, 9), (17, 7), (35, 23), (38, 12), (21, 4), (21, 20), (17, 29), (33, 10), (29, 15), (33, 27), (21, 9), (11, 13), (18, 23), (24, 22), (38, 25), (31, 20), (7, 9), (36, 24), (8, 24), (2, 7), (19, 1), (9, 22), (29, 3), (6, 29), (3, 20), (22, 0), (5, 21), (38, 8), (25, 2), (17, 27), (23, 19), (35, 28), (21, 29), (24, 13), (27, 28), (5, 11), (18, 1), (9, 0), (35, 0), (37, 13), (20, 21), (0, 27), (34, 6), (7, 0), (5, 24), (29, 10), (35, 14), (19, 8), (29, 28), (22, 17), (24, 27), (32, 26), (0, 19), (13, 17), (18, 28), (32, 10), (4, 15), (33, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 13), (19, 20), (3, 29), (13, 19), (14, 1), (7, 9), (28, 9), (7, 32), (28, 16), (20, 13), (16, 16), (23, 11), (7, 29), (15, 32), (14, 8), (20, 2), (20, 20), (16, 30), (7, 11), (5, 15), (11, 8), (16, 25), (6, 18), (30, 22), (21, 30), (0, 12), (21, 20), (4, 33), (26, 11), (23, 6), (1, 4), (16, 17), (17, 14), (13, 3), (21, 14), (0, 2), (3, 3), (5, 26), (21, 9), (17, 4), (19, 13), (7, 31), (30, 9), (27, 31), (22, 9), (31, 8), (23, 26), (6, 20), (19, 17), (30, 14), (11, 4), (20, 7), (20, 11), (2, 26), (7, 8), (29, 6), (11, 20), (1, 26), (15, 12), (13, 28), (4, 25), (26, 17), (24, 23), (4, 32), (17, 31), (21, 6), (30, 27), (14, 5), (1, 33), (25, 18), (29, 2), (22, 15), (4, 7), (17, 15), (24, 32), (13, 0), (31, 18), (2, 17), (6, 19), (27, 5), (7, 2), (26, 6), (26, 31), (23, 30), (1, 9), (9, 22), (22, 0), (19, 24), (12, 5), (18, 16), (5, 16), (7, 1), (16, 7), (6, 32), (21, 13), (9, 7), (2, 12), (24, 25), (22, 19), (11, 15), (25, 31), (1, 12), (25, 2), (5, 14), (20, 5), (30, 1), (28, 14), (31, 28), (27, 20), (21, 32), (20, 30), (1, 27), (24, 19), (12, 14), (16, 31), (25, 9), (26, 3), (8, 9), (6, 21), (4, 20), (1, 1), (19, 0), (28, 22), (6, 9), (18, 30), (14, 17), (31, 3), (7, 4), (29, 16), (5, 33), (28, 17), (12, 13), (18, 5), (28, 15), (6, 22), (26, 5), (13, 2), (2, 28), (22, 4), (29, 20), (8, 21), (28, 12), (5, 20), (0, 27), (16, 5), (25, 20), (14, 12), (0, 8), (11, 5), (22, 6), (4, 5), (21, 1), (14, 26), (21, 21), (10, 27), (10, 13), (4, 13), (23, 10), (4, 17), (25, 23), (20, 33), (30, 26), (17, 25), (5, 27), (13, 15), (6, 3), (23, 31), (30, 17), (16, 13), (3, 9), (7, 25), (15, 18), (7, 26), (27, 17), (8, 16), (21, 11), (9, 32), (27, 3), (18, 31), (13, 5), (18, 32), (27, 32), (8, 23), (30, 11), (2, 15), (27, 1), (17, 3), (28, 5), (4, 23), (23, 21), (18, 26), (20, 31), (13, 24), (23, 25), (31, 0), (17, 22), (28, 20), (6, 12), (0, 19), (26, 25), (1, 5), (27, 18), (17, 16), (6, 26), (19, 3), (22, 21), (14, 2), (22, 7), (8, 32), (29, 23), (30, 16), (4, 21), (5, 10), (15, 11), (16, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 38x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 24), (19, 25), (3, 34), (36, 35), (16, 21), (0, 1), (16, 15), (21, 24), (5, 1), (19, 29), (10, 29), (7, 5), (30, 25), (37, 16), (22, 22), (21, 32), (7, 16), (37, 21), (21, 28), (14, 12), (5, 12), (2, 25), (33, 13), (25, 8), (23, 21), (26, 26), (16, 7), (9, 11), (23, 8), (6, 2), (26, 34), (5, 25), (30, 11), (8, 12), (13, 27), (23, 26), (14, 17), (2, 29), (19, 3), (14, 10), (3, 27), (24, 5), (10, 7), (30, 23), (20, 21), (14, 22), (20, 24), (3, 11), (15, 11), (32, 6), (28, 20), (36, 15), (0, 16), (36, 28), (19, 14), (33, 11), (5, 10), (16, 26), (30, 27), (1, 27), (30, 13), (29, 13), (19, 21), (33, 19), (35, 28), (4, 23), (26, 12), (18, 25), (24, 17), (24, 23), (15, 10), (18, 24), (5, 6), (12, 30), (29, 11), (13, 15), (21, 19), (18, 4), (10, 25), (3, 20), (4, 15), (16, 27), (12, 35), (19, 4), (15, 1), (24, 13), (8, 30), (16, 29), (20, 18), (33, 26), (15, 15), (17, 35), (20, 12), (8, 31), (3, 12), (18, 29), (11, 1), (0, 33), (14, 31), (18, 9), (37, 13), (30, 22), (20, 35), (13, 25), (18, 20), (35, 2), (1, 13), (11, 22), (10, 11), (18, 23), (3, 19), (9, 4), (19, 10), (11, 35), (1, 24), (23, 9), (13, 21), (33, 6), (15, 30), (29, 33), (25, 0), (29, 28), (25, 6), (29, 3), (19, 7), (6, 5), (11, 31), (27, 32), (27, 30), (32, 4), (11, 34), (37, 6), (32, 35), (14, 24), (13, 33), (17, 18), (30, 26), (5, 7), (15, 32), (17, 30), (32, 0), (37, 27), (25, 1), (32, 5), (0, 4), (7, 35), (35, 22), (9, 8), (1, 20), (2, 33), (22, 18), (29, 35), (4, 11), (6, 18), (22, 20), (28, 33), (37, 32), (6, 10), (5, 22), (36, 17), (28, 4), (3, 26), (19, 11), (36, 3), (33, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 18), (14, 12), (27, 7), (17, 22), (27, 0), (21, 31), (22, 2), (15, 1), (16, 1), (29, 12), (17, 30), (2, 14), (3, 32), (0, 13), (5, 11), (4, 15), (11, 10), (18, 5), (16, 28), (19, 10), (9, 27), (0, 1), (0, 19), (15, 19), (27, 30), (10, 14), (22, 24), (26, 17), (10, 29), (3, 25), (6, 11), (0, 16), (24, 17), (19, 20), (15, 22), (0, 22), (26, 26), (22, 9), (19, 30), (16, 5), (8, 13), (28, 23), (18, 28), (2, 4), (20, 27), (28, 24), (2, 15), (8, 3), (4, 9), (9, 11), (20, 6), (0, 20), (8, 31), (12, 24), (16, 8), (26, 2), (10, 0), (5, 1), (18, 4), (21, 20), (14, 18), (14, 27), (1, 21), (22, 19), (29, 2), (17, 17), (20, 10), (1, 22), (27, 15), (25, 24), (11, 16), (23, 8), (15, 0), (19, 25), (4, 8), (22, 5), (14, 23), (24, 16), (17, 25), (16, 7), (19, 29), (11, 25), (29, 11), (2, 3), (4, 2), (21, 17), (29, 26), (18, 20), (13, 28), (13, 21), (18, 14), (17, 10), (26, 20), (21, 2), (28, 15), (7, 30), (27, 1), (26, 12), (14, 30), (0, 11), (13, 1), (18, 12), (4, 28), (8, 11), (21, 22), (8, 17), (15, 24), (28, 19), (4, 22), (1, 26), (18, 6), (9, 28), (13, 25), (14, 10), (18, 19), (12, 28), (23, 32), (10, 7), (18, 27), (29, 0), (16, 30), (27, 13), (19, 12), (28, 10), (9, 17), (26, 16), (23, 10), (10, 4), (14, 32), (21, 23), (26, 14), (7, 22), (5, 19), (7, 7), (5, 3), (4, 7), (1, 13), (28, 2), (1, 5), (26, 13), (25, 10), (8, 29), (23, 4), (27, 19), (5, 28), (22, 4), (28, 9), (30, 26), (6, 18), (13, 12), (21, 26), (30, 4), (12, 23), (20, 17), (21, 9), (13, 8), (1, 14), (15, 9), (23, 14), (9, 32), (1, 12), (19, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 7), (13, 13), (33, 0), (27, 31), (21, 30), (10, 14), (16, 16), (7, 17), (18, 31), (29, 9), (5, 9), (4, 19), (20, 17), (13, 2), (32, 17), (19, 6), (22, 33), (5, 34), (0, 4), (15, 18), (19, 12), (6, 29), (25, 25), (27, 13), (7, 14), (5, 23), (14, 34), (10, 20), (3, 34), (6, 14), (3, 16), (10, 29), (27, 15), (0, 26), (23, 26), (21, 6), (12, 21), (12, 18), (15, 23), (5, 6), (16, 22), (0, 25), (6, 6), (19, 22), (17, 18), (1, 32), (9, 6), (15, 29), (9, 19), (33, 19), (15, 32), (14, 3), (11, 17), (19, 15), (21, 26), (6, 3), (10, 2), (25, 27), (14, 31), (10, 24), (12, 3), (25, 22), (17, 30), (14, 32), (30, 26), (16, 3), (1, 5), (5, 7), (17, 6), (22, 11), (33, 8), (5, 27), (16, 30), (4, 12), (17, 13), (7, 23), (5, 24), (22, 8), (1, 10), (21, 15), (7, 7), (16, 19), (19, 29), (11, 7), (22, 12), (12, 29), (16, 29), (12, 7), (33, 32), (2, 1), (2, 10), (15, 7), (26, 9), (29, 15), (23, 15), (24, 12), (27, 21), (14, 16), (8, 12), (26, 24), (24, 24), (7, 35), (10, 33), (2, 13), (6, 23), (17, 28), (20, 2), (4, 6), (10, 5), (25, 19), (16, 26), (10, 18), (18, 16), (15, 1), (33, 11), (15, 9), (27, 23), (29, 30), (4, 4), (21, 4), (3, 31), (8, 25), (26, 16), (29, 4), (17, 23), (15, 6), (19, 23), (25, 0), (6, 21), (25, 34), (7, 25), (29, 32), (21, 1), (18, 22), (18, 9), (7, 12), (27, 5), (32, 16), (3, 20), (31, 35), (12, 26), (0, 23), (20, 28), (3, 27), (3, 28), (19, 32), (9, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (27, 26), (11, 0), (6, 16), (5, 3), (14, 9), (20, 2), (21, 5), (16, 0), (13, 18), (16, 27), (4, 22), (16, 17), (0, 24), (5, 27), (11, 9), (17, 6), (19, 28), (30, 11), (25, 14), (0, 23), (9, 23), (12, 21), (19, 20), (16, 23), (30, 5), (31, 7), (12, 24), (25, 11), (9, 11), (2, 19), (16, 31), (29, 30), (5, 28), (13, 8), (13, 7), (18, 31), (16, 14), (14, 23), (12, 31), (29, 10), (12, 11), (10, 31), (6, 25), (11, 26), (26, 25), (17, 9), (6, 6), (15, 18), (21, 7), (4, 8), (23, 2), (32, 26), (8, 20), (1, 2), (8, 25), (24, 8), (21, 8), (8, 15), (7, 1), (1, 29), (4, 32), (15, 17), (25, 9), (22, 19), (28, 20), (12, 20), (3, 16), (2, 32), (6, 13), (2, 11), (24, 20), (10, 28), (25, 18), (5, 19), (30, 28), (32, 3), (5, 30), (22, 10), (17, 31), (14, 31), (17, 27), (17, 21), (9, 28), (20, 18), (5, 10), (25, 3), (2, 7), (0, 2), (24, 9), (27, 1), (31, 4), (6, 9), (16, 11), (12, 23), (21, 22), (12, 25), (2, 20), (16, 3), (31, 11), (11, 12), (28, 5), (2, 10), (10, 4), (6, 22), (4, 30), (16, 10), (4, 3), (28, 4), (7, 9), (17, 10), (20, 27), (18, 6), (18, 3), (25, 4), (9, 17), (20, 28), (32, 30), (13, 32), (7, 14), (12, 19), (1, 16), (5, 1), (4, 11), (20, 26), (10, 18), (10, 12), (1, 4), (20, 9), (5, 25), (26, 23), (24, 2), (25, 0), (15, 25), (20, 10), (16, 16), (13, 27), (31, 9), (21, 20), (17, 30), (4, 25), (6, 28), (11, 30), (13, 23), (7, 25), (1, 0), (17, 3), (31, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 0), (24, 10), (4, 17), (1, 20), (21, 25), (17, 21), (16, 18), (23, 14), (8, 1), (18, 11), (15, 16), (6, 20), (28, 29), (2, 29), (29, 3), (18, 0), (20, 23), (20, 14), (11, 23), (1, 11), (0, 31), (29, 17), (26, 14), (6, 10), (29, 25), (15, 21), (16, 26), (18, 5), (8, 24), (28, 20), (3, 2), (17, 3), (8, 21), (16, 8), (28, 2), (18, 17), (16, 4), (7, 29), (22, 23), (21, 23), (9, 3), (16, 13), (4, 2), (8, 4), (22, 17), (18, 3), (19, 11), (12, 19), (23, 15), (18, 15), (19, 8), (29, 16), (26, 13), (23, 4), (11, 24), (22, 31), (8, 0), (24, 3), (14, 17), (28, 23), (21, 21), (26, 6), (13, 9), (11, 20), (17, 0), (11, 29), (22, 20), (4, 1), (18, 18), (13, 31), (10, 8), (5, 15), (20, 13), (26, 25), (20, 18), (3, 29), (10, 6), (19, 12), (17, 8), (4, 25), (7, 4), (17, 23), (4, 18), (20, 10), (10, 25), (27, 10), (19, 19), (1, 5), (13, 30), (12, 1), (11, 25), (3, 31), (4, 24), (23, 13), (21, 11), (14, 12), (2, 23), (5, 5), (2, 6), (25, 27), (27, 8), (29, 1), (27, 29), (18, 27), (8, 5), (12, 20), (10, 2), (9, 9), (4, 8), (15, 27), (0, 23), (16, 17), (21, 17), (6, 15), (8, 17), (2, 21), (22, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 35x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 5), (23, 23), (15, 32), (23, 13), (7, 9), (5, 4), (13, 10), (16, 13), (21, 5), (9, 28), (14, 28), (7, 34), (4, 17), (33, 13), (20, 9), (20, 14), (16, 11), (26, 28), (30, 17), (14, 29), (12, 24), (30, 23), (19, 14), (1, 18), (14, 20), (17, 30), (26, 31), (9, 5), (29, 32), (19, 17), (7, 27), (0, 28), (32, 14), (24, 8), (12, 9), (3, 15), (3, 8), (15, 14), (10, 20), (21, 18), (14, 27), (34, 19), (6, 11), (24, 33), (23, 4), (3, 34), (29, 34), (2, 17), (25, 1), (17, 21), (29, 30), (34, 11), (29, 8), (28, 20), (5, 28), (10, 28), (33, 27), (11, 9), (3, 1), (28, 5), (14, 8), (24, 34), (25, 26), (17, 26), (25, 22), (19, 29), (33, 5), (7, 0), (9, 16), (1, 23), (26, 8), (34, 23), (13, 4), (32, 7), (2, 9), (7, 15), (27, 4), (22, 17), (26, 11), (13, 7), (9, 8), (7, 14), (27, 24), (7, 10), (2, 33), (22, 28), (2, 23), (23, 16), (5, 34), (30, 9), (34, 29), (19, 24), (32, 26), (15, 1), (13, 28), (12, 20), (17, 24), (33, 8), (28, 8), (19, 22), (16, 10), (24, 6), (3, 33), (9, 31), (30, 27), (32, 28), (34, 0), (15, 30), (17, 12), (31, 25), (31, 7), (15, 0), (23, 12), (2, 15), (23, 7), (7, 5), (23, 3), (5, 21), (0, 32), (12, 28), (29, 10), (14, 31), (20, 34), (27, 14), (14, 12), (16, 9), (1, 6), (18, 2), (21, 3), (17, 28), (0, 34), (26, 21), (25, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 13), (11, 16), (22, 29), (6, 1), (6, 30), (0, 26), (16, 5), (9, 8), (23, 15), (24, 26), (11, 28), (5, 23), (15, 7), (32, 23), (13, 16), (17, 33), (13, 29), (19, 36), (12, 5), (14, 2), (6, 8), (8, 28), (31, 31), (29, 24), (11, 23), (32, 8), (10, 25), (21, 37), (11, 20), (31, 21), (8, 34), (27, 29), (18, 34), (22, 16), (27, 7), (6, 7), (26, 5), (4, 16), (4, 11), (5, 4), (24, 15), (18, 26), (7, 7), (21, 30), (15, 3), (30, 35), (26, 11), (4, 7), (5, 22), (13, 11), (13, 5), (29, 21), (27, 20), (32, 17), (3, 13), (9, 0), (19, 29), (10, 15), (31, 11), (19, 22), (13, 32), (23, 27), (16, 28), (5, 15), (6, 28), (10, 36), (19, 9), (14, 10), (8, 37), (3, 23), (7, 27), (29, 26), (22, 25), (24, 34), (19, 7), (29, 18), (30, 30), (31, 17), (28, 28), (24, 12), (15, 2), (20, 10), (10, 37), (2, 33), (0, 20), (15, 21), (26, 19), (23, 9), (21, 14), (21, 10), (0, 16), (27, 33), (31, 2), (28, 34), (10, 0), (15, 1), (26, 2), (11, 34), (16, 4), (8, 33), (26, 3), (0, 33), (25, 25), (15, 12), (19, 31), (13, 4), (6, 25), (19, 23), (7, 35), (14, 15), (32, 24), (0, 13), (31, 24), (26, 35), (1, 37), (10, 3), (22, 30), (1, 2), (0, 6), (27, 27), (32, 11), (2, 7), (2, 28), (8, 35), (26, 29), (13, 34), (31, 33), (18, 12), (32, 7), (30, 23), (31, 5), (30, 22), (28, 21), (10, 21), (6, 37), (30, 19), (31, 3), (15, 11), (11, 10), (22, 2), (13, 6), (27, 12), (23, 8), (25, 19), (23, 13), (30, 34), (12, 16), (14, 27), (28, 24), (8, 23), (16, 21), (3, 30), (19, 2), (0, 8), (0, 17), (25, 30), (19, 15), (0, 28), (8, 10), (30, 6), (28, 30), (13, 13), (8, 32), (13, 35), (7, 3), (0, 36), (24, 10), (24, 33), (19, 16), (20, 33), (26, 32), (5, 20), (16, 16), (5, 34), (13, 10), (13, 33), (14, 5), (6, 0), (32, 35), (1, 18), (10, 30), (0, 14), (19, 32), (32, 25), (11, 14), (16, 1), (21, 34), (4, 2), (17, 21), (28, 6), (18, 24), (13, 26), (12, 14), (26, 28), (5, 5), (2, 26), (3, 6), (25, 17), (19, 33), (32, 22), (16, 3), (0, 34), (3, 25), (27, 18), (21, 19), (7, 33), (30, 16), (22, 32), (21, 8), (15, 10), (22, 31), (25, 16), (20, 12), (31, 37), (24, 32), (30, 12), (14, 29), (14, 30), (1, 35), (8, 12), (23, 28), (30, 21), (20, 20), (14, 14), (10, 7), (3, 18), (22, 5), (9, 22), (25, 6), (15, 13), (8, 27), (3, 17), (1, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 37x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 2), (28, 5), (24, 32), (36, 14), (1, 36), (1, 4), (2, 32), (29, 9), (19, 11), (28, 19), (0, 37), (22, 12), (29, 32), (28, 13), (24, 17), (8, 3), (13, 18), (29, 36), (36, 5), (22, 3), (4, 20), (3, 14), (7, 31), (23, 0), (21, 1), (7, 19), (29, 2), (4, 5), (10, 1), (13, 13), (13, 14), (3, 21), (10, 4), (8, 8), (34, 11), (10, 18), (14, 8), (13, 15), (36, 30), (21, 33), (8, 32), (33, 0), (7, 12), (7, 5), (27, 28), (10, 8), (19, 15), (36, 25), (32, 19), (20, 14), (17, 8), (25, 7), (30, 8), (15, 13), (5, 26), (27, 31), (5, 11), (33, 24), (29, 35), (18, 27), (4, 4), (31, 16), (31, 27), (6, 8), (34, 12), (12, 27), (7, 8), (33, 36), (18, 34), (2, 35), (34, 26), (1, 16), (25, 27), (2, 22), (32, 9), (20, 28), (22, 22), (21, 32), (2, 11), (8, 34), (24, 21), (19, 0), (18, 20), (25, 19), (31, 5), (24, 8), (6, 18), (1, 20), (14, 26), (22, 25), (11, 2), (13, 17), (1, 24), (27, 3), (9, 6), (30, 22), (22, 10), (27, 16), (18, 13), (7, 0), (20, 8), (18, 4), (31, 9), (33, 32), (31, 14), (3, 16), (4, 27), (10, 32), (15, 30), (1, 5), (18, 18), (15, 29), (24, 7), (34, 28), (3, 4), (30, 33), (13, 0), (21, 28), (23, 4), (21, 31), (6, 3), (7, 9), (10, 24), (20, 34), (8, 19), (16, 34), (2, 29), (29, 6), (13, 7), (2, 5), (21, 7), (21, 6), (4, 14), (11, 32), (25, 22), (9, 32), (29, 31), (22, 7), (8, 0), (34, 37), (32, 32), (10, 15), (20, 15), (11, 3), (3, 5), (19, 32), (9, 5), (35, 23), (7, 24), (12, 16), (32, 24), (28, 20), (10, 14), (4, 18), (16, 6), (23, 9), (0, 35), (12, 11), (2, 7), (30, 9), (34, 35), (32, 12), (16, 28), (12, 1), (3, 31), (36, 13), (14, 4), (21, 30), (20, 24), (29, 34), (35, 21), (2, 17), (34, 3), (21, 22), (7, 36), (36, 6), (13, 37), (28, 37), (32, 20), (24, 25), (15, 6), (13, 9), (21, 25), (23, 28), (25, 34), (16, 27), (8, 16), (0, 21), (8, 13), (25, 31), (16, 15), (28, 16), (22, 0), (2, 20), (30, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 10), (3, 10), (17, 27), (18, 12), (3, 33), (30, 25), (30, 14), (34, 7), (8, 9), (4, 8), (36, 22), (25, 7), (2, 28), (12, 19), (20, 29), (2, 22), (7, 12), (0, 25), (29, 32), (27, 32), (22, 21), (4, 0), (22, 6), (28, 23), (18, 31), (32, 21), (30, 18), (13, 2), (34, 3), (29, 16), (13, 6), (19, 31), (1, 8), (4, 2), (22, 26), (33, 7), (25, 27), (24, 6), (36, 1), (4, 16), (7, 32), (15, 7), (26, 10), (35, 14), (34, 8), (15, 17), (29, 2), (24, 23), (25, 0), (12, 23), (18, 7), (26, 29), (35, 25), (21, 3), (6, 26), (8, 7), (12, 28), (21, 31), (14, 3), (14, 22), (31, 20), (18, 24), (15, 28), (7, 31), (28, 25), (11, 15), (8, 32), (30, 33), (25, 5), (13, 23), (9, 28), (8, 24), (26, 4), (6, 33), (33, 30), (20, 9), (23, 33), (5, 17), (26, 3), (35, 17), (10, 25), (24, 3), (1, 18), (3, 12), (3, 5), (22, 20), (28, 2), (19, 17), (4, 25), (4, 17), (21, 32), (32, 32), (2, 8), (20, 17), (6, 14), (22, 14), (4, 21), (20, 15), (8, 33), (23, 1), (20, 20), (29, 5), (35, 10), (34, 1), (11, 14), (29, 18), (0, 21), (17, 1), (13, 26), (25, 22), (35, 8), (1, 7), (17, 12), (20, 4), (2, 2), (19, 20), (2, 1), (8, 13), (27, 27), (32, 5), (7, 5), (11, 25), (9, 7), (17, 29), (33, 27), (26, 12), (35, 18), (11, 5), (29, 26), (15, 33), (14, 16), (9, 5), (35, 20), (21, 14), (29, 25), (0, 32), (5, 8), (33, 26), (32, 6), (23, 5), (28, 5), (12, 18), (24, 26), (31, 31), (16, 11), (32, 11), (11, 18), (26, 24), (8, 11), (31, 32), (28, 11), (19, 29), (14, 33), (31, 3), (10, 1), (28, 18), (1, 20), (30, 2), (21, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 27), (7, 21), (34, 29), (31, 2), (26, 15), (20, 13), (12, 27), (29, 32), (10, 25), (16, 25), (21, 15), (4, 2), (24, 23), (15, 6), (1, 6), (18, 8), (5, 26), (13, 0), (17, 18), (2, 15), (27, 29), (26, 7), (22, 32), (21, 23), (34, 18), (11, 14), (30, 15), (22, 25), (5, 27), (8, 17), (5, 12), (2, 11), (14, 25), (15, 27), (21, 7), (32, 31), (26, 25), (15, 7), (30, 1), (8, 0), (12, 1), (14, 32), (18, 20), (15, 23), (26, 23), (33, 27), (28, 25), (18, 2), (30, 17), (20, 30), (6, 29), (20, 33), (23, 8), (29, 24), (23, 30), (16, 33), (9, 4), (19, 12), (13, 6), (27, 12), (31, 26), (9, 29), (10, 18), (21, 13), (20, 6), (4, 33), (11, 27), (21, 9), (11, 11), (4, 13), (24, 0), (23, 29), (9, 20), (0, 26), (0, 18), (24, 4), (32, 26), (29, 9), (3, 9), (6, 14), (23, 15), (2, 30), (9, 26), (26, 33), (20, 1), (19, 26), (34, 32), (5, 32), (25, 24), (1, 16), (4, 10), (21, 10), (3, 14), (28, 15), (9, 6), (7, 32), (11, 8), (7, 20), (27, 27), (7, 5), (11, 7), (26, 0), (11, 23), (25, 1), (20, 8), (26, 2), (32, 13), (34, 22), (8, 33), (15, 14), (29, 21), (21, 27), (11, 28), (4, 5), (18, 11), (7, 33), (29, 30), (23, 2), (28, 6), (13, 5), (8, 22), (29, 7), (28, 28), (27, 10), (20, 21), (13, 30), (15, 29), (19, 25), (13, 26), (5, 20), (21, 1), (28, 29), (31, 14), (14, 18), (0, 17), (3, 16), (19, 33), (16, 31), (23, 32), (4, 29), (3, 29), (7, 28), (25, 14), (11, 33), (21, 2), (14, 12), (32, 10), (23, 31), (18, 1), (11, 17), (2, 2), (19, 16), (13, 17), (19, 10), (28, 9), (25, 27), (7, 15), (19, 23), (28, 4), (7, 31), (9, 9), (26, 28), (5, 1), (28, 5), (34, 4), (27, 11), (17, 14), (10, 26), (27, 30), (31, 13), (0, 30), (31, 20), (26, 29), (3, 12), (30, 31), (31, 27), (29, 28), (30, 10), (26, 19), (15, 33), (19, 0), (6, 16), (29, 29), (8, 15), (1, 14), (2, 27), (20, 25), (34, 21), (32, 20), (1, 27), (31, 12), (32, 28), (32, 32), (11, 19), (8, 29), (25, 20), (4, 25), (30, 22), (7, 2), (33, 3), (26, 27), (6, 11), (7, 10), (3, 5), (1, 0), (32, 11), (1, 15), (32, 22), (22, 0), (26, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 27), (11, 16), (11, 11), (14, 24), (30, 7), (19, 10), (12, 0), (11, 27), (4, 16), (15, 8), (13, 12), (18, 29), (9, 3), (20, 2), (22, 24), (10, 7), (26, 30), (26, 3), (34, 26), (18, 12), (29, 11), (2, 15), (24, 23), (0, 21), (16, 19), (29, 7), (31, 27), (5, 24), (17, 8), (26, 29), (34, 17), (7, 21), (21, 15), (9, 22), (5, 11), (1, 2), (17, 12), (33, 0), (24, 29), (9, 4), (25, 21), (16, 30), (14, 7), (10, 22), (19, 11), (29, 24), (31, 4), (29, 18), (0, 6), (26, 26), (24, 26), (20, 6), (27, 27), (25, 10), (21, 4), (9, 26), (25, 13), (25, 22), (7, 4), (32, 30), (20, 19), (16, 17), (3, 10), (11, 8), (21, 10), (5, 9), (6, 22), (24, 2), (29, 10), (1, 3), (13, 27), (14, 25), (8, 24), (1, 0), (7, 8), (21, 5), (8, 3), (19, 30), (34, 12), (30, 21), (2, 0), (18, 21), (7, 0), (23, 20), (11, 3), (18, 0), (8, 12), (6, 3), (34, 2), (27, 0), (33, 29), (29, 8), (25, 18), (32, 25), (5, 25), (10, 16), (31, 22), (4, 26), (4, 15), (11, 5), (15, 6), (8, 9), (31, 26), (4, 0), (24, 18), (15, 12), (20, 23), (29, 26), (1, 21), (14, 15), (24, 10), (32, 10), (22, 18), (1, 9), (19, 27), (25, 5), (9, 19), (10, 20), (31, 11), (7, 25), (6, 10), (27, 26), (11, 24), (19, 15), (21, 27), (0, 15), (27, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 35x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 19), (13, 7), (17, 5), (3, 32), (12, 15), (13, 28), (17, 6), (15, 33), (32, 4), (16, 11), (32, 3), (7, 4), (14, 22), (12, 37), (21, 4), (31, 37), (20, 13), (19, 35), (8, 2), (13, 24), (22, 30), (5, 25), (24, 18), (17, 17), (27, 10), (3, 37), (13, 17), (22, 0), (22, 2), (22, 1), (21, 12), (7, 9), (4, 17), (12, 13), (25, 14), (18, 10), (1, 25), (13, 16), (25, 8), (9, 0), (25, 26), (24, 16), (3, 35), (2, 28), (14, 30), (16, 32), (22, 4), (8, 15), (23, 31), (29, 30), (21, 6), (31, 32), (2, 21), (16, 21), (6, 37), (12, 33), (24, 3), (11, 9), (8, 30), (20, 4), (33, 17), (5, 7), (20, 18), (1, 4), (28, 28), (28, 18), (28, 14), (18, 30), (31, 16), (2, 14), (23, 19), (7, 19), (14, 37), (4, 23), (7, 31), (3, 33), (0, 4), (17, 27), (3, 17), (18, 9), (19, 31), (13, 38), (8, 37), (27, 30), (30, 30), (4, 15), (18, 24), (3, 21), (0, 17), (12, 7), (6, 6), (8, 31), (8, 24), (18, 11), (2, 24), (31, 20), (14, 38), (29, 10), (10, 25), (19, 14), (12, 18), (21, 32), (1, 0), (7, 35), (31, 25), (4, 26), (8, 18), (34, 15), (22, 15), (22, 10), (17, 10), (27, 34), (14, 11), (2, 16), (7, 18), (23, 26), (3, 0), (22, 12), (16, 19), (4, 21), (14, 34), (16, 37), (11, 0), (12, 11), (15, 10), (28, 31), (15, 13), (12, 0), (13, 12), (10, 32), (21, 1), (11, 34), (33, 32), (32, 38), (29, 31), (2, 18), (16, 38), (5, 31), (22, 6), (33, 22), (0, 27), (9, 11), (12, 30), (28, 23), (16, 12), (12, 1), (22, 33), (25, 19), (33, 3), (28, 16), (5, 0), (28, 17), (4, 11), (8, 7), (11, 20), (8, 11), (5, 29), (17, 36), (31, 38), (24, 35), (29, 18), (19, 25), (15, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 2), (26, 22), (23, 14), (2, 21), (14, 0), (15, 11), (25, 29), (25, 4), (17, 22), (26, 32), (17, 29), (6, 10), (4, 24), (5, 19), (20, 17), (28, 27), (21, 12), (27, 21), (7, 14), (31, 32), (26, 2), (25, 21), (21, 6), (10, 10), (30, 4), (5, 2), (9, 32), (23, 25), (23, 4), (18, 8), (0, 26), (9, 19), (8, 0), (22, 25), (24, 15), (26, 10), (28, 22), (32, 18), (15, 29), (32, 4), (6, 14), (4, 16), (20, 16), (24, 30), (3, 29), (8, 1), (13, 19), (9, 9), (3, 0), (3, 23), (10, 0), (23, 5), (29, 21), (13, 6), (27, 12), (19, 29), (11, 1), (27, 25), (29, 0), (18, 12), (29, 20), (12, 10), (5, 16), (2, 1), (0, 11), (24, 18), (14, 31), (1, 3), (20, 11), (0, 20), (1, 18), (9, 11), (21, 8), (20, 10), (25, 3), (28, 17), (24, 10), (27, 8), (30, 15), (7, 10), (3, 9), (29, 24), (7, 6), (29, 30), (1, 27), (0, 28), (12, 6), (3, 28), (24, 23), (16, 21), (26, 3), (17, 19), (20, 20), (10, 1), (1, 1), (18, 11), (2, 12), (30, 11), (25, 31), (18, 19), (29, 27), (4, 13), (12, 18), (15, 30), (27, 32), (14, 14), (13, 4), (30, 21), (31, 6), (3, 1), (0, 13), (30, 2), (25, 18), (16, 7), (16, 28), (4, 17), (30, 32), (0, 30), (12, 3), (8, 28), (15, 20), (11, 21), (32, 21), (22, 30), (7, 31), (30, 26), (26, 21), (22, 18), (8, 22), (17, 13), (16, 6), (13, 23), (31, 19), (29, 28), (9, 6), (31, 4), (18, 2), (7, 30), (5, 31), (26, 30), (21, 11), (16, 25), (7, 1), (1, 23), (13, 32), (12, 15), (29, 19), (22, 6), (0, 25), (0, 19), (30, 6), (19, 4), (28, 16), (0, 3), (22, 31), (26, 13), (6, 26), (19, 7), (29, 9), (13, 20), (30, 5), (3, 12), (6, 30), (19, 20), (30, 10), (10, 27), (22, 17), (12, 9), (13, 14), (12, 21), (29, 15), (24, 19), (11, 29), (20, 29), (8, 25), (5, 12), (31, 2), (26, 7), (11, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 31x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 32), (26, 11), (18, 22), (29, 24), (8, 17), (11, 23), (24, 5), (11, 8), (5, 13), (13, 1), (28, 0), (1, 25), (13, 9), (12, 32), (5, 3), (11, 24), (20, 32), (5, 6), (4, 24), (3, 17), (30, 1), (17, 0), (30, 16), (18, 7), (26, 19), (2, 5), (6, 5), (25, 23), (2, 11), (21, 33), (30, 13), (16, 37), (6, 19), (14, 32), (19, 3), (9, 34), (8, 26), (5, 30), (13, 25), (20, 9), (9, 23), (25, 12), (4, 29), (30, 28), (1, 16), (3, 11), (1, 18), (7, 25), (25, 25), (26, 3), (5, 22), (22, 4), (15, 18), (3, 7), (28, 19), (16, 13), (22, 16), (16, 1), (17, 4), (20, 11), (26, 0), (27, 19), (21, 37), (23, 22), (28, 11), (15, 34), (21, 19), (3, 13), (6, 14), (3, 30), (24, 0), (10, 35), (28, 17), (20, 10), (4, 26), (24, 33), (20, 14), (18, 10), (24, 10), (25, 20), (16, 30), (19, 35), (26, 8), (10, 18), (17, 14), (4, 7), (24, 14), (8, 21), (9, 5), (29, 7), (20, 30), (4, 19), (29, 25), (25, 19), (17, 11), (16, 15), (17, 24), (1, 17), (1, 37), (27, 0), (27, 11), (14, 23), (21, 17), (6, 26), (16, 27), (6, 35), (28, 31), (19, 37), (2, 26), (28, 23), (9, 16), (14, 34), (21, 32), (7, 0), (0, 12), (20, 15), (23, 2), (2, 10), (20, 18), (22, 13), (30, 9), (3, 22), (5, 27), (11, 28), (4, 9), (2, 12), (18, 0), (12, 11), (25, 33), (6, 16), (30, 0), (22, 19), (12, 29), (0, 6), (17, 10), (16, 0), (17, 7), (14, 24), (9, 37), (24, 32), (15, 22), (9, 7), (12, 1), (4, 30), (19, 6), (28, 27), (18, 29), (3, 33), (19, 31), (15, 19), (15, 4), (4, 22), (3, 1), (24, 27), (25, 2), (10, 7), (0, 14), (12, 12), (14, 4), (13, 8), (16, 28), (23, 23), (25, 36), (29, 23), (18, 26), (1, 24), (1, 4), (7, 36), (3, 0), (29, 29), (24, 30), (17, 12), (17, 36), (12, 18), (16, 10), (11, 4), (26, 28), (16, 16), (2, 21), (30, 21), (16, 8), (21, 34), (4, 20), (19, 19), (26, 33), (19, 28), (24, 8), (15, 37), (5, 7), (10, 34), (13, 35), (7, 2), (14, 2), (5, 10), (28, 12), (3, 9), (10, 11), (10, 33), (28, 15), (11, 13), (22, 20), (14, 28), (1, 3), (23, 28), (4, 16), (11, 37), (18, 27), (0, 20), (10, 19), (20, 0), (23, 19), (25, 8), (9, 20), (6, 23), (13, 31), (17, 22), (24, 34), (12, 33), (20, 31), (3, 31), (10, 4), (3, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 11), (20, 7), (1, 2), (3, 17), (32, 17), (29, 4), (7, 7), (24, 6), (24, 0), (5, 28), (30, 24), (0, 21), (29, 13), (34, 5), (19, 2), (9, 33), (0, 33), (16, 31), (32, 33), (27, 12), (22, 12), (11, 4), (1, 32), (24, 26), (31, 13), (25, 16), (13, 16), (27, 5), (21, 12), (10, 1), (14, 1), (26, 28), (26, 17), (0, 31), (27, 36), (8, 32), (27, 15), (30, 7), (18, 25), (22, 29), (1, 28), (13, 23), (28, 22), (10, 12), (3, 13), (12, 6), (9, 26), (1, 5), (18, 36), (8, 28), (0, 16), (25, 18), (8, 34), (17, 21), (9, 9), (15, 5), (8, 16), (0, 7), (11, 0), (13, 2), (6, 33), (0, 30), (23, 26), (34, 31), (26, 24), (2, 31), (24, 16), (15, 15), (12, 24), (9, 19), (24, 28), (23, 27), (8, 10), (28, 29), (15, 19), (21, 21), (27, 22), (21, 20), (23, 2), (34, 18), (3, 11), (16, 11), (22, 11), (20, 34), (34, 25), (11, 23), (23, 29), (22, 35), (24, 27), (3, 7), (17, 6), (34, 27), (18, 34), (11, 16), (30, 12), (7, 2), (29, 9), (1, 8), (13, 18), (15, 2), (22, 2), (4, 27), (1, 15), (6, 17), (9, 35), (27, 34), (22, 20), (33, 16), (28, 33), (3, 15), (27, 3), (10, 17), (27, 33), (4, 33), (15, 24), (19, 27), (21, 4), (4, 19), (1, 18), (22, 22), (2, 25), (28, 21), (28, 12), (28, 30), (34, 21), (1, 3), (8, 17), (18, 10), (3, 21), (13, 29), (0, 29), (12, 25), (6, 4), (8, 1), (13, 24), (19, 26), (14, 9), (1, 33), (17, 8), (24, 31), (22, 18), (12, 31), (34, 2), (27, 35), (30, 22), (27, 17), (33, 33), (1, 36), (9, 24), (20, 27), (27, 30), (4, 4), (21, 24), (7, 15), (30, 29), (27, 27), (19, 31), (33, 2), (10, 13), (18, 15), (3, 18), (12, 8), (16, 16), (16, 1), (20, 29), (10, 21), (13, 27), (20, 0), (2, 32), (1, 24), (8, 18), (19, 6), (20, 16), (29, 24), (27, 14), (24, 34), (6, 10), (13, 34), (25, 21), (7, 33), (13, 35), (24, 20), (23, 3), (18, 20), (15, 6), (24, 33), (6, 2), (31, 3), (15, 18), (5, 34), (30, 4), (12, 0), (15, 20), (4, 6), (28, 10), (5, 12), (14, 34), (31, 12), (15, 7), (16, 17), (21, 11), (34, 34), (16, 10), (19, 7), (2, 16), (26, 30), (16, 19), (28, 5), (10, 36), (11, 13), (6, 27), (21, 28), (23, 34), (22, 28), (14, 4), (20, 5), (26, 21), (12, 34), (9, 23), (29, 19), (33, 7), (7, 32), (28, 11), (7, 36), (30, 11), (34, 3), (28, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 18), (20, 13), (17, 14), (21, 27), (9, 26), (21, 3), (11, 21), (12, 21), (25, 7), (1, 15), (1, 12), (18, 25), (21, 19), (27, 4), (20, 20), (19, 19), (11, 10), (9, 17), (15, 15), (28, 10), (20, 26), (18, 14), (10, 21), (18, 17), (18, 24), (27, 22), (5, 26), (17, 6), (21, 13), (19, 5), (20, 21), (12, 20), (16, 1), (21, 7), (6, 19), (5, 18), (13, 15), (2, 0), (20, 7), (21, 5), (8, 2), (29, 15), (27, 25), (12, 26), (23, 26), (6, 18), (1, 0), (26, 21), (24, 22), (28, 4), (21, 8), (13, 22), (1, 21), (28, 27), (28, 2), (12, 22), (2, 8), (20, 6), (10, 11), (7, 12), (26, 8), (15, 2), (11, 25), (20, 23), (15, 0), (14, 22), (14, 5), (12, 23), (28, 24), (21, 15), (10, 0), (1, 5), (27, 28), (27, 27), (0, 21), (21, 28), (8, 12), (27, 2), (25, 14), (16, 8), (1, 13), (7, 28), (5, 25), (2, 26), (1, 20), (2, 15), (22, 6), (14, 26), (12, 4), (20, 4), (15, 14), (14, 0), (14, 29), (11, 23), (28, 22), (1, 11), (28, 9), (4, 29), (18, 20), (0, 16), (9, 20), (15, 12), (20, 3), (24, 25), (25, 21), (12, 11), (2, 17), (13, 0), (15, 13), (17, 16), (17, 20), (6, 14), (16, 17), (18, 11), (5, 12), (21, 18), (20, 17), (4, 10), (11, 20), (9, 25), (10, 16), (27, 9), (7, 9), (1, 22), (13, 25), (14, 10), (16, 21), (24, 6), (23, 14), (24, 7), (18, 0), (26, 16), (26, 2), (20, 19), (10, 26), (10, 3), (2, 29), (22, 20), (0, 22), (24, 0), (15, 28), (22, 25), (15, 11), (20, 27), (0, 17), (6, 6), (1, 14), (26, 28), (8, 13), (23, 12), (22, 21), (11, 4), (6, 3), (19, 18), (25, 29), (14, 3), (25, 6), (21, 2), (3, 15), (28, 14), (10, 2), (0, 20), (28, 15), (17, 21), (12, 16), (3, 10), (4, 12), (5, 9), (27, 10), (0, 25), (3, 11), (21, 16), (8, 4), (28, 7), (6, 7), (14, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 37x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 8), (35, 9), (17, 7), (20, 8), (33, 14), (27, 10), (36, 10), (14, 11), (33, 12), (35, 1), (13, 3), (4, 17), (35, 19), (7, 18), (1, 23), (6, 26), (11, 3), (9, 28), (17, 3), (7, 20), (27, 4), (33, 2), (30, 22), (26, 24), (16, 6), (24, 1), (16, 5), (17, 8), (16, 21), (2, 7), (12, 22), (26, 0), (20, 29), (34, 6), (34, 14), (1, 15), (29, 1), (35, 3), (28, 29), (10, 24), (35, 15), (10, 11), (18, 21), (34, 27), (6, 22), (17, 9), (6, 6), (23, 5), (3, 15), (6, 27), (32, 15), (0, 5), (29, 3), (7, 21), (16, 12), (9, 20), (11, 19), (19, 23), (29, 5), (21, 1), (31, 10), (33, 13), (2, 11), (34, 29), (32, 11), (25, 8), (33, 9), (36, 22), (0, 27), (20, 20), (31, 29), (23, 13), (13, 2), (24, 5), (11, 8), (17, 23), (31, 25), (13, 13), (24, 4), (13, 24), (12, 16), (27, 17), (33, 4), (32, 26), (24, 26), (15, 12), (5, 17), (1, 21), (12, 10), (30, 15), (32, 23), (23, 25), (23, 29), (5, 27), (2, 20), (21, 12), (26, 2), (3, 27), (9, 17), (19, 4), (5, 16), (20, 1), (22, 19), (19, 17), (31, 2), (16, 2), (4, 1), (1, 16), (8, 12), (35, 18), (4, 28), (22, 5), (12, 23), (36, 11), (12, 8), (34, 24), (15, 28), (24, 25), (17, 28), (10, 29), (18, 14), (0, 9), (18, 8), (14, 15), (26, 19), (26, 27), (7, 11), (21, 25), (23, 15), (8, 15), (13, 17), (6, 29), (18, 5), (16, 25), (15, 2), (3, 2), (20, 21), (23, 17), (24, 12), (35, 21), (34, 1), (14, 29), (3, 20), (2, 24), (23, 20), (31, 7), (36, 2), (26, 6), (7, 8), (16, 26), (25, 12), (33, 29), (4, 23), (32, 24), (34, 18), (14, 28), (33, 5), (19, 20), (14, 27), (13, 18), (15, 20), (11, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 22), (11, 1), (3, 33), (17, 9), (14, 9), (9, 1), (11, 32), (6, 14), (11, 30), (17, 20), (9, 24), (3, 5), (24, 29), (13, 31), (16, 24), (11, 3), (31, 3), (4, 9), (23, 31), (13, 29), (7, 34), (14, 33), (12, 23), (13, 21), (27, 30), (12, 10), (14, 22), (21, 10), (12, 26), (11, 11), (6, 19), (29, 14), (18, 2), (25, 2), (22, 16), (20, 25), (28, 16), (8, 11), (4, 3), (1, 33), (7, 9), (8, 13), (3, 1), (4, 18), (19, 15), (8, 33), (31, 14), (1, 16), (32, 11), (24, 13), (5, 28), (4, 33), (19, 23), (23, 26), (4, 13), (25, 31), (20, 33), (4, 12), (15, 15), (24, 32), (0, 28), (17, 29), (21, 16), (2, 30), (10, 11), (30, 34), (17, 25), (4, 31), (3, 34), (22, 32), (14, 18), (31, 24), (18, 28), (5, 26), (4, 23), (11, 25), (15, 8), (24, 20), (16, 12), (10, 6), (25, 1), (6, 1), (28, 7), (9, 17), (1, 20), (9, 12), (25, 32), (18, 34), (6, 15), (7, 25), (21, 25), (16, 8), (26, 26), (14, 24), (26, 3), (15, 32), (16, 4), (15, 19), (17, 16), (22, 28), (3, 30), (1, 11), (22, 3), (15, 10), (22, 5), (20, 2), (14, 26), (9, 19), (27, 4), (26, 11), (20, 16), (30, 22), (13, 24), (26, 22), (14, 1), (11, 20), (15, 21), (24, 14), (26, 7), (28, 31), (17, 11), (29, 18), (24, 9), (15, 16), (23, 23), (9, 10), (13, 17), (2, 32), (28, 20), (29, 27), (26, 1), (15, 9), (32, 13), (19, 34), (3, 8), (3, 6), (0, 24), (23, 8), (22, 34), (15, 20), (22, 24), (32, 9), (25, 33), (9, 29), (8, 6), (21, 5), (30, 1), (26, 16), (10, 22), (13, 13), (15, 6), (16, 3), (23, 24), (26, 10), (12, 18), (16, 9), (11, 9), (29, 19), (21, 18), (31, 28), (1, 34), (16, 20), (30, 25), (1, 6), (7, 18), (20, 31), (18, 17), (25, 29), (21, 26), (5, 9), (12, 20), (27, 6), (26, 18), (21, 19), (23, 32), (19, 10), (9, 3), (18, 6), (17, 2), (11, 7), (11, 8), (17, 15), (13, 19), (21, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 34x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 13), (12, 0), (7, 14), (24, 2), (32, 11), (22, 3), (23, 27), (18, 30), (23, 5), (32, 15), (29, 17), (13, 21), (12, 14), (23, 23), (17, 23), (27, 18), (27, 14), (26, 29), (4, 26), (15, 24), (15, 27), (12, 22), (1, 2), (1, 3), (30, 0), (16, 19), (3, 29), (3, 22), (2, 13), (16, 5), (15, 22), (24, 21), (9, 24), (5, 4), (28, 22), (33, 17), (2, 1), (22, 19), (29, 20), (18, 2), (25, 4), (1, 14), (7, 18), (25, 10), (22, 30), (3, 26), (9, 17), (4, 11), (23, 12), (27, 17), (22, 8), (0, 16), (20, 4), (28, 24), (19, 13), (6, 10), (33, 23), (12, 29), (19, 10), (32, 7), (25, 0), (22, 24), (14, 3), (24, 30), (14, 14), (27, 10), (9, 11), (15, 4), (15, 6), (31, 17), (30, 17), (3, 21), (22, 26), (3, 14), (20, 14), (24, 8), (8, 20), (23, 28), (0, 8), (32, 19), (13, 29), (13, 24), (33, 19), (14, 23), (22, 6), (26, 25), (23, 9), (14, 15), (16, 4), (32, 8), (18, 4), (26, 6), (11, 23), (13, 11), (25, 3), (7, 4), (29, 9), (2, 3), (22, 7), (19, 11), (4, 19), (24, 15), (24, 1), (17, 19), (4, 17), (12, 25), (21, 23), (14, 25), (32, 18), (5, 29), (23, 8), (9, 22), (30, 25), (18, 9), (22, 1), (6, 2), (31, 16), (16, 30), (29, 22), (5, 0), (26, 1), (28, 10), (0, 4), (9, 5), (31, 29), (9, 4), (12, 24), (32, 10), (17, 0), (8, 18), (9, 7), (24, 17), (7, 10), (6, 4), (10, 0), (26, 21), (23, 3), (16, 28), (9, 13), (8, 23), (19, 28), (33, 28), (14, 18), (28, 27), (13, 7), (6, 21), (17, 14), (32, 20), (26, 3), (27, 23), (30, 5), (11, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 18), (12, 28), (2, 25), (27, 24), (1, 21), (17, 1), (35, 4), (13, 37), (12, 32), (6, 36), (31, 28), (17, 15), (29, 35), (27, 0), (28, 21), (19, 29), (18, 1), (9, 17), (18, 34), (15, 36), (18, 12), (4, 7), (24, 33), (25, 24), (27, 28), (4, 12), (29, 22), (33, 37), (9, 3), (4, 3), (22, 2), (33, 10), (16, 30), (30, 8), (10, 36), (2, 13), (20, 0), (26, 1), (3, 27), (22, 15), (31, 20), (4, 25), (32, 38), (23, 5), (17, 17), (9, 18), (26, 0), (28, 10), (18, 10), (6, 8), (35, 0), (27, 30), (4, 4), (16, 5), (5, 13), (3, 3), (35, 33), (21, 20), (32, 37), (9, 6), (23, 4), (7, 37), (23, 11), (7, 33), (3, 5), (23, 3), (0, 30), (19, 21), (24, 38), (18, 14), (24, 3), (15, 6), (21, 11), (18, 20), (31, 0), (35, 19), (13, 35), (3, 30), (17, 14), (18, 22), (15, 21), (10, 9), (30, 12), (11, 18), (19, 35), (3, 6), (4, 15), (10, 21), (6, 37), (18, 18), (18, 0), (31, 25), (2, 4), (28, 38), (35, 26), (16, 3), (5, 24), (4, 29), (3, 19), (1, 5), (2, 19), (31, 16), (33, 4), (12, 4), (18, 19), (6, 34), (8, 16), (24, 23), (6, 38), (10, 3), (35, 35), (9, 37), (18, 21), (2, 26), (10, 6), (1, 0), (16, 33), (27, 17), (10, 8), (15, 35), (7, 0), (26, 7), (18, 2), (15, 8), (33, 36), (20, 16), (14, 20), (18, 29), (22, 4), (22, 33), (27, 18), (1, 2), (14, 21), (32, 23), (0, 11), (17, 12), (4, 14), (13, 27), (16, 19), (35, 12), (30, 35), (33, 34), (4, 22), (29, 37), (30, 14), (3, 8), (12, 6), (6, 25), (26, 26), (27, 10), (29, 7), (33, 32), (20, 11), (12, 23), (11, 21), (4, 10), (9, 0), (2, 38), (5, 2), (29, 20), (35, 29), (26, 8), (21, 1), (23, 14), (2, 31), (13, 36), (1, 28), (1, 4), (7, 8), (8, 25), (25, 28), (17, 38), (13, 3), (17, 5), (11, 29), (34, 1), (0, 38), (22, 14), (23, 24), (23, 15), (32, 36), (20, 33), (6, 32), (30, 18), (23, 7), (17, 23), (5, 10), (31, 10), (29, 16), (16, 26), (1, 6), (22, 19), (28, 37), (13, 7), (18, 32), (17, 3), (35, 25), (34, 4), (6, 21), (21, 14), (34, 3), (25, 4), (30, 1), (20, 31), (24, 20), (35, 13), (9, 13), (10, 26), (20, 28), (28, 12), (24, 28), (21, 24), (27, 8), (28, 29), (7, 31), (8, 8), (27, 27), (15, 30), (30, 5), (6, 16), (19, 28), (31, 17), (11, 34), (24, 15), (29, 38), (34, 30), (15, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 12), (18, 12), (0, 11), (26, 28), (27, 3), (7, 5), (5, 11), (28, 25), (25, 26), (5, 1), (15, 11), (34, 13), (27, 11), (21, 23), (13, 20), (18, 29), (14, 5), (33, 29), (29, 19), (9, 18), (30, 10), (21, 10), (35, 2), (14, 21), (8, 1), (6, 28), (28, 10), (22, 12), (26, 20), (29, 17), (23, 28), (31, 26), (12, 10), (26, 16), (16, 11), (31, 25), (3, 6), (22, 18), (25, 10), (4, 20), (14, 18), (30, 8), (15, 27), (15, 13), (31, 12), (3, 17), (6, 8), (22, 10), (7, 0), (19, 7), (1, 9), (7, 17), (27, 21), (3, 13), (27, 5), (24, 2), (26, 0), (18, 22), (6, 27), (8, 21), (4, 26), (8, 29), (29, 13), (29, 15), (35, 22), (15, 18), (19, 17), (0, 3), (29, 11), (21, 9), (15, 15), (12, 11), (4, 4), (19, 18), (33, 28), (13, 18), (16, 15), (13, 23), (19, 27), (1, 26), (14, 12), (2, 3), (29, 18), (6, 10), (0, 5), (19, 8), (29, 12), (28, 1), (35, 0), (12, 21), (30, 18), (2, 0), (10, 12), (34, 3), (18, 16), (10, 20), (25, 15), (30, 3), (7, 26), (22, 30), (19, 25), (24, 20), (14, 17), (27, 30), (9, 15), (26, 6), (29, 22), (19, 0), (24, 27), (6, 21), (0, 9), (15, 20), (34, 28), (4, 10), (30, 24), (18, 23), (11, 15), (28, 27), (0, 13), (7, 13), (31, 1), (16, 1), (14, 10), (33, 10), (21, 12), (20, 12), (10, 23), (29, 2), (31, 10), (26, 23), (3, 9), (33, 6), (35, 12), (19, 3), (17, 18), (18, 14), (16, 7), (18, 10), (4, 11), (32, 15), (18, 8), (27, 10), (33, 7), (1, 27), (31, 20), (7, 25), (28, 2), (6, 18), (35, 18), (11, 1), (5, 24), (12, 2), (1, 14), (31, 9), (13, 14), (24, 16), (23, 27), (26, 12), (22, 9), (30, 1), (5, 10), (5, 13), (29, 4), (9, 21), (16, 12), (1, 19), (26, 14), (14, 8), (11, 0), (33, 4), (13, 24), (11, 22), (19, 26), (15, 24), (28, 16), (20, 8), (26, 10), (9, 14), (25, 16), (34, 17), (2, 12), (33, 21), (20, 1), (21, 19), (13, 29), (34, 8), (25, 9), (28, 15), (13, 25), (11, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 18), (17, 17), (8, 25), (21, 6), (17, 18), (12, 14), (13, 25), (1, 17), (21, 7), (16, 24), (19, 10), (9, 18), (11, 7), (26, 3), (16, 27), (2, 0), (20, 6), (23, 29), (28, 17), (9, 5), (15, 15), (0, 8), (21, 28), (2, 1), (26, 14), (20, 3), (14, 18), (8, 12), (13, 5), (2, 15), (4, 23), (24, 4), (27, 6), (14, 15), (15, 6), (20, 23), (6, 5), (21, 29), (1, 20), (12, 5), (25, 24), (4, 11), (7, 27), (0, 12), (18, 6), (16, 29), (27, 27), (1, 19), (23, 5), (10, 24), (22, 3), (27, 8), (17, 20), (12, 7), (15, 5), (0, 20), (25, 12), (18, 25), (9, 14), (26, 20), (6, 0), (19, 15), (6, 29), (27, 7), (6, 28), (7, 28), (29, 2), (13, 4), (11, 17), (4, 16), (11, 1), (16, 1), (23, 13), (22, 28), (19, 24), (17, 16), (2, 22), (3, 24), (7, 8), (13, 8), (29, 20), (6, 24), (23, 17), (15, 25), (12, 27), (7, 24), (14, 22), (13, 1), (4, 25), (4, 0), (0, 23), (8, 28), (21, 8), (13, 7), (26, 11), (20, 19), (18, 15), (3, 9), (6, 21), (6, 19), (2, 23), (12, 18), (0, 14), (13, 9), (23, 15), (13, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 18), (20, 18), (9, 26), (31, 1), (14, 4), (14, 33), (0, 19), (19, 2), (0, 21), (6, 15), (14, 12), (12, 25), (32, 24), (8, 6), (25, 14), (27, 18), (3, 19), (18, 24), (20, 26), (4, 9), (27, 14), (3, 21), (30, 14), (12, 26), (18, 35), (32, 18), (32, 27), (33, 22), (8, 5), (17, 35), (13, 9), (3, 7), (32, 2), (19, 9), (33, 27), (9, 30), (17, 0), (29, 14), (15, 3), (16, 3), (24, 7), (19, 24), (15, 30), (24, 14), (28, 0), (7, 16), (6, 33), (11, 23), (30, 27), (7, 30), (7, 14), (16, 1), (10, 21), (2, 28), (14, 7), (8, 15), (23, 21), (5, 14), (30, 2), (14, 35), (1, 13), (23, 33), (20, 8), (28, 26), (3, 23), (1, 16), (27, 19), (28, 21), (18, 20), (9, 12), (6, 10), (31, 15), (35, 26), (27, 32), (25, 23), (1, 28), (31, 27), (31, 33), (3, 10), (30, 8), (7, 28), (34, 1), (23, 6), (16, 16), (22, 10), (11, 35), (23, 22), (3, 0), (32, 32), (0, 24), (24, 28), (23, 28), (20, 27), (1, 17), (9, 10), (34, 33), (16, 5), (19, 26), (20, 16), (0, 33), (1, 27), (4, 23), (12, 11), (30, 28), (11, 29), (10, 7), (28, 33), (6, 0), (0, 2), (15, 35), (14, 29), (22, 30), (29, 34), (9, 21), (21, 28), (28, 6), (27, 35), (18, 9), (24, 24), (21, 25), (16, 27), (22, 33), (12, 12), (5, 3), (16, 20), (0, 10), (30, 35), (5, 21), (34, 34), (3, 24), (17, 27), (24, 5), (20, 21), (9, 25), (25, 8), (11, 34), (11, 19), (1, 30), (27, 0), (24, 16), (33, 5), (12, 4), (10, 13), (31, 9), (3, 16), (14, 21), (20, 34), (18, 14), (32, 23), (13, 2), (7, 11), (16, 35), (33, 28), (6, 29), (5, 2), (27, 12), (33, 7), (21, 27), (6, 31), (20, 33), (30, 4), (34, 31), (1, 3), (22, 27), (20, 12), (12, 9), (4, 28), (1, 4), (30, 20), (9, 6), (4, 16), (33, 9), (21, 34), (27, 6), (20, 4), (18, 8), (3, 31), (9, 29), (7, 9), (29, 17), (17, 28), (5, 33), (11, 27), (10, 20), (24, 4), (4, 33), (2, 5), (31, 34), (17, 29), (33, 0), (20, 19), (33, 1), (31, 16), (5, 13), (32, 21), (1, 9), (22, 13), (2, 17), (22, 6), (4, 10), (32, 16), (31, 20), (35, 9), (10, 17), (29, 31), (32, 25), (22, 17), (2, 31), (15, 23), (27, 25), (11, 25), (13, 29), (8, 24), (22, 8), (24, 25), (26, 14), (18, 18), (22, 4), (13, 26), (11, 2), (7, 8), (19, 22), (23, 12), (32, 29), (29, 21), (19, 4), (14, 25), (32, 31), (1, 34), (34, 35), (9, 1), (9, 22), (17, 4), (28, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (34, 27), (24, 36), (30, 10), (16, 21), (1, 15), (10, 31), (0, 18), (0, 3), (13, 6), (8, 28), (25, 9), (11, 26), (33, 19), (38, 9), (4, 2), (9, 27), (1, 37), (25, 15), (3, 36), (13, 31), (21, 13), (24, 17), (27, 10), (35, 37), (22, 27), (28, 31), (26, 13), (18, 30), (2, 9), (29, 19), (22, 11), (1, 7), (32, 13), (5, 29), (31, 1), (33, 21), (21, 2), (18, 17), (26, 20), (21, 6), (7, 13), (16, 17), (33, 22), (33, 23), (34, 0), (4, 4), (26, 5), (30, 13), (2, 1), (1, 6), (27, 22), (24, 37), (29, 28), (2, 0), (29, 37), (10, 20), (22, 14), (25, 21), (4, 27), (23, 25), (11, 24), (37, 16), (27, 33), (29, 1), (17, 28), (2, 29), (26, 31), (15, 0), (31, 0), (12, 16), (16, 25), (5, 16), (37, 18), (32, 28), (26, 0), (29, 29), (35, 26), (23, 33), (36, 17), (37, 35), (18, 34), (16, 28), (32, 22), (2, 30), (18, 23), (17, 15), (18, 9), (27, 2), (0, 35), (38, 15), (4, 24), (3, 14), (17, 1), (29, 10), (13, 0), (37, 12), (37, 1), (34, 23), (16, 7), (22, 25), (22, 7), (34, 29), (3, 13), (6, 24), (24, 30), (32, 9), (36, 4), (22, 3), (36, 8), (23, 31), (33, 1), (31, 2), (35, 4), (33, 30), (4, 29), (20, 28), (0, 26), (6, 6), (36, 24), (37, 36), (22, 10), (31, 34), (27, 32), (19, 29), (23, 14), (2, 26), (31, 22), (2, 33), (31, 8), (18, 1), (23, 9), (23, 8), (13, 5), (13, 26), (3, 27), (34, 19), (10, 12), (27, 18), (24, 23), (8, 13), (25, 7), (22, 17), (22, 20), (2, 11), (8, 36), (20, 18), (26, 21), (38, 21), (30, 37), (9, 28), (27, 34), (2, 19), (6, 33), (5, 12), (26, 3), (21, 23), (3, 29), (2, 17), (5, 23), (8, 3), (16, 37), (16, 19), (3, 9), (37, 31), (33, 35), (16, 35), (5, 5), (37, 2), (1, 18), (20, 3), (37, 22), (32, 31), (23, 0), (25, 36), (12, 10), (11, 22), (19, 8), (13, 13), (9, 2), (34, 3), (30, 19), (25, 32), (26, 25), (15, 2), (38, 12), (33, 18), (14, 19), (23, 4), (27, 36), (20, 27), (20, 20), (22, 2), (37, 29), (30, 8), (17, 7), (15, 19), (6, 1), (19, 15), (24, 25), (1, 33), (1, 26), (15, 18), (8, 24), (24, 29), (1, 32), (22, 26), (35, 8), (15, 23), (8, 32), (18, 19), (36, 25), (15, 26), (27, 3), (22, 9), (20, 16), (37, 27), (4, 15), (38, 33), (18, 29), (7, 19), (20, 12), (21, 33), (7, 23), (31, 21), (2, 27), (38, 24), (34, 15), (23, 24), (1, 19), (32, 27), (20, 15), (22, 16), (29, 33), (26, 32), (23, 17), (27, 5), (36, 0), (34, 20), (0, 23), (13, 21), (32, 36), (23, 12), (38, 28), (28, 6), (4, 35), (6, 7), (33, 8), (19, 3), (38, 0), (38, 36), (8, 25), (18, 7), (23, 37), (20, 5), (4, 25), (3, 2), (9, 34), (32, 24), (36, 9), (15, 30), (27, 23), (15, 16), (17, 13), (14, 9), (27, 31), (35, 29), (0, 31), (12, 5), (7, 18), (2, 32), (2, 25), (12, 28), (11, 4), (2, 7), (9, 22), (5, 25), (14, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "In a 38x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 34), (12, 21), (37, 32), (12, 26), (36, 30), (3, 11), (35, 22), (1, 10), (3, 25), (2, 18), (24, 9), (19, 33), (26, 12), (36, 9), (14, 26), (14, 29), (9, 29), (37, 27), (16, 24), (6, 34), (16, 23), (5, 2), (4, 34), (17, 33), (13, 8), (37, 15), (27, 9), (8, 27), (13, 13), (24, 30), (11, 6), (15, 7), (26, 30), (6, 5), (27, 25), (30, 17), (26, 26), (35, 12), (3, 2), (18, 7), (21, 9), (37, 5), (28, 1), (22, 3), (25, 14), (35, 32), (16, 34), (25, 9), (3, 30), (11, 33), (25, 17), (3, 3), (26, 24), (13, 11), (31, 17), (19, 24), (30, 2), (37, 25), (29, 2), (2, 34), (3, 18), (4, 5), (33, 32), (12, 8), (1, 22), (16, 6), (35, 4), (20, 7), (26, 5), (34, 35), (14, 16), (6, 21), (12, 33), (13, 0), (9, 35), (22, 15), (25, 16), (27, 34), (33, 24), (4, 6), (20, 29), (17, 23), (18, 23), (33, 18), (8, 1), (18, 0), (36, 32), (11, 34), (7, 35), (31, 18), (8, 21), (36, 26), (2, 6), (6, 25), (0, 20), (13, 33), (28, 34), (0, 30), (9, 28), (0, 12), (22, 26), (3, 0), (8, 30), (17, 13), (14, 28), (23, 8), (16, 31), (4, 3), (13, 23), (33, 23), (18, 35), (31, 6), (1, 26), (10, 5), (10, 12), (14, 15), (12, 7), (25, 4), (30, 1), (28, 10), (36, 5), (1, 25), (20, 16), (19, 0), (4, 25), (21, 2), (10, 9), (2, 11), (8, 18), (20, 22), (36, 6), (16, 20), (27, 35), (7, 26), (21, 20), (9, 9), (16, 14), (28, 24), (31, 5), (23, 34), (12, 32), (22, 1), (7, 16), (26, 11), (8, 28), (15, 17), (11, 11), (30, 9), (18, 34), (12, 30), (27, 10), (14, 12), (34, 22), (35, 35), (37, 6), (1, 28), (24, 22), (32, 21), (24, 14), (13, 35), (10, 11), (0, 16), (26, 0), (37, 2), (22, 30), (17, 24), (12, 22), (37, 20), (34, 23), (20, 33), (19, 31), (19, 22), (16, 12), (5, 20), (16, 2), (8, 32), (27, 32), (24, 8), (23, 26), (10, 13), (37, 28), (3, 6), (20, 31), (14, 25), (34, 21), (12, 2), (35, 29), (5, 0), (14, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (33, 30), (13, 24), (17, 32), (36, 21), (15, 22), (12, 24), (9, 30), (37, 35), (37, 1), (18, 11), (17, 31), (7, 28), (20, 30), (14, 4), (8, 11), (22, 16), (12, 2), (10, 35), (16, 22), (30, 30), (3, 12), (6, 11), (3, 14), (3, 1), (24, 8), (23, 27), (11, 23), (19, 8), (4, 22), (37, 22), (1, 26), (22, 28), (15, 13), (10, 28), (22, 25), (18, 33), (34, 25), (15, 1), (25, 6), (26, 27), (18, 13), (2, 8), (37, 17), (34, 9), (23, 13), (37, 8), (25, 14), (19, 25), (36, 14), (8, 17), (31, 5), (9, 26), (17, 16), (26, 34), (5, 15), (0, 17), (3, 8), (23, 5), (19, 24), (0, 8), (6, 14), (2, 30), (17, 29), (15, 23), (28, 3), (26, 2), (1, 0), (21, 6), (24, 35), (6, 20), (22, 22), (38, 27), (3, 23), (26, 8), (16, 31), (6, 31), (6, 30), (5, 17), (10, 16), (34, 16), (16, 8), (34, 12), (23, 31), (21, 13), (8, 30), (16, 24), (19, 26), (34, 17), (5, 25), (38, 4), (1, 20), (9, 27), (34, 33), (34, 26), (21, 5), (32, 27), (33, 24), (31, 19), (20, 27), (31, 23), (34, 29), (20, 4), (12, 13), (23, 15), (38, 29), (16, 32), (34, 4), (1, 32), (8, 29), (14, 1), (35, 2), (16, 35), (28, 28), (23, 17), (32, 17), (20, 26), (27, 6), (22, 33), (21, 2), (34, 15), (28, 16), (31, 6), (38, 12), (0, 4), (4, 17), (28, 31), (18, 30), (31, 27), (17, 25), (19, 9), (7, 35), (28, 27), (0, 24), (31, 12), (24, 6), (18, 21), (8, 24), (26, 26), (32, 24), (18, 3), (10, 22), (33, 10), (36, 16), (14, 23), (30, 0), (35, 27), (28, 7), (6, 24), (13, 2), (3, 18), (0, 35), (38, 5), (34, 7), (17, 9), (2, 10), (14, 7), (33, 26), (30, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 20), (2, 14), (15, 16), (19, 4), (2, 6), (29, 8), (22, 13), (9, 29), (35, 23), (8, 25), (26, 11), (17, 25), (21, 31), (18, 26), (11, 16), (28, 4), (33, 18), (25, 3), (30, 1), (0, 14), (16, 8), (19, 17), (30, 9), (16, 25), (34, 18), (31, 13), (10, 7), (32, 5), (35, 2), (19, 29), (1, 20), (4, 14), (34, 17), (21, 28), (16, 9), (10, 5), (27, 24), (29, 13), (0, 9), (2, 24), (8, 20), (26, 27), (27, 15), (9, 16), (12, 23), (24, 27), (33, 16), (10, 29), (20, 8), (6, 6), (13, 3), (14, 20), (34, 24), (31, 1), (6, 23), (18, 28), (1, 31), (22, 5), (16, 1), (17, 29), (19, 22), (13, 5), (8, 13), (4, 18), (14, 19), (7, 12), (15, 20), (22, 2), (13, 7), (36, 9), (2, 18), (19, 6), (12, 25), (24, 25), (9, 4), (36, 19), (31, 4), (34, 12), (29, 17), (15, 18), (18, 30), (25, 16), (2, 9), (13, 4), (30, 2), (24, 17), (25, 4), (11, 10), (25, 20), (34, 19), (26, 18), (29, 7), (14, 25), (29, 16), (19, 27), (12, 22), (36, 4), (12, 29), (30, 10), (33, 20), (7, 0), (22, 3), (8, 24), (1, 17), (7, 2), (13, 17), (0, 26), (35, 7), (12, 7), (0, 29), (15, 6), (11, 12), (7, 13), (26, 14), (28, 8), (36, 15), (11, 15), (17, 0), (5, 1), (33, 29), (36, 12), (33, 25), (12, 4), (37, 14), (28, 31), (2, 17), (23, 24), (19, 25), (20, 17), (11, 0), (14, 14), (26, 5), (27, 26), (24, 11), (7, 10), (16, 23), (20, 7), (29, 12), (16, 4), (3, 8), (36, 25), (20, 25), (33, 11), (31, 18), (11, 11), (7, 25), (36, 20), (31, 31), (18, 9), (37, 9), (30, 6), (23, 25), (4, 2), (21, 12), (34, 6), (27, 29), (29, 25), (12, 28), (1, 22), (25, 13), (6, 2), (5, 24), (15, 24), (24, 15), (5, 2), (15, 8), (6, 13), (22, 20), (6, 5), (36, 5), (5, 3), (27, 13), (36, 29), (37, 19), (1, 28), (25, 25), (13, 1), (19, 5), (2, 4), (29, 21), (35, 17), (29, 20), (0, 21), (35, 25), (29, 31), (23, 19), (36, 3), (35, 4), (24, 2), (27, 20), (33, 28), (29, 24), (33, 9), (18, 27), (30, 14), (2, 19), (10, 17), (0, 11), (22, 15), (1, 6), (17, 16), (24, 28), (23, 28), (26, 21), (14, 8), (33, 6), (8, 16), (16, 11), (19, 26), (16, 10), (2, 11), (7, 6), (22, 28), (23, 20), (29, 10), (25, 31), (3, 28), (20, 18), (3, 16), (34, 27), (25, 21), (15, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 5), (15, 24), (30, 33), (11, 29), (6, 18), (16, 31), (27, 0), (5, 19), (32, 3), (21, 7), (15, 22), (12, 19), (1, 32), (5, 17), (0, 14), (18, 4), (8, 26), (4, 25), (18, 33), (23, 1), (1, 4), (25, 28), (0, 12), (21, 17), (17, 19), (20, 26), (3, 9), (10, 21), (15, 33), (2, 11), (24, 14), (5, 23), (17, 29), (20, 6), (25, 33), (5, 0), (27, 14), (11, 9), (9, 32), (26, 2), (12, 7), (8, 19), (28, 31), (23, 12), (26, 22), (32, 17), (29, 6), (3, 22), (13, 23), (27, 19), (22, 18), (22, 14), (11, 5), (6, 30), (16, 3), (17, 13), (25, 29), (29, 30), (20, 22), (5, 32), (4, 7), (0, 29), (6, 17), (4, 28), (20, 27), (5, 7), (17, 4), (24, 18), (9, 3), (4, 17), (0, 19), (7, 26), (10, 19), (8, 14), (5, 2), (11, 27), (2, 23), (30, 19), (16, 5), (16, 33), (0, 28), (15, 29), (19, 28), (15, 1), (19, 11), (3, 30), (18, 27), (20, 23), (26, 9), (11, 31), (18, 1), (1, 0), (19, 24), (25, 6), (22, 6), (3, 12), (27, 27), (24, 15), (1, 14), (19, 30), (20, 12), (19, 0), (18, 8), (26, 32), (11, 30), (14, 29), (8, 28), (14, 7), (17, 20), (11, 7), (21, 3), (26, 33), (18, 22), (1, 29), (15, 17), (11, 20), (24, 32), (19, 20), (17, 8), (13, 28), (32, 18), (25, 14), (0, 13), (6, 4), (25, 23), (23, 0), (30, 5), (12, 21), (11, 28), (9, 10), (13, 13), (6, 8), (31, 0), (3, 7), (28, 22), (13, 24), (12, 15), (2, 21), (7, 7), (21, 16), (19, 12), (32, 25), (29, 31), (30, 20), (12, 22), (17, 0), (19, 17), (5, 21), (13, 6), (10, 25), (24, 29), (32, 32), (8, 7), (25, 18), (28, 17), (29, 1), (11, 26), (0, 32), (22, 25), (13, 12), (8, 0), (23, 30), (18, 32), (6, 22), (13, 0), (20, 19), (11, 15), (23, 7), (30, 14), (32, 11), (8, 6), (11, 12), (2, 29), (11, 14), (1, 1), (14, 8), (8, 31), (17, 10), (5, 5), (32, 2), (3, 4), (7, 5), (7, 8), (12, 29), (14, 14), (25, 12), (13, 9), (2, 2), (2, 8), (10, 6), (22, 21), (0, 11), (7, 14), (29, 4), (19, 5)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 35x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (16, 13), (34, 0), (12, 14), (15, 28), (0, 7), (32, 33), (4, 21), (2, 28), (34, 12), (28, 9), (18, 4), (4, 14), (8, 3), (11, 15), (31, 19), (30, 5), (2, 32), (2, 24), (9, 5), (1, 7), (14, 0), (15, 26), (13, 28), (9, 1), (12, 22), (32, 32), (3, 12), (34, 31), (26, 3), (4, 20), (16, 1), (24, 31), (16, 28), (24, 5), (9, 27), (1, 23), (7, 29), (25, 24), (3, 19), (1, 29), (21, 15), (0, 17), (29, 7), (32, 23), (27, 11), (25, 15), (21, 10), (11, 17), (28, 30), (6, 16), (1, 12), (15, 1), (26, 19), (2, 4), (26, 10), (14, 26), (10, 14), (11, 13), (6, 15), (14, 32), (33, 23), (27, 18), (11, 28), (17, 31), (24, 19), (33, 22), (18, 0), (15, 2), (32, 30), (6, 11), (3, 4), (10, 21), (0, 13), (17, 17), (11, 23), (12, 28), (2, 11), (12, 3), (20, 0), (24, 21), (23, 32), (11, 8), (24, 1), (27, 2), (10, 15), (1, 30), (11, 21), (15, 29), (2, 14), (26, 9), (24, 12), (3, 26), (34, 20), (24, 10), (30, 7), (16, 10), (30, 22), (33, 15), (31, 28), (5, 3), (2, 5), (18, 1), (3, 9), (16, 30), (26, 5), (21, 13), (25, 25), (14, 6), (31, 11), (15, 12), (14, 11), (11, 0), (9, 15), (31, 27), (25, 17), (7, 24), (22, 8), (16, 26), (16, 24), (16, 4), (7, 21), (6, 32), (26, 26), (27, 26), (11, 22), (10, 31), (29, 25), (29, 23), (1, 19), (22, 10), (10, 12), (4, 5), (11, 18), (0, 3), (9, 26), (2, 25), (9, 14), (7, 16), (34, 30), (14, 19), (32, 2), (5, 10), (24, 14), (10, 8), (29, 10), (24, 30), (3, 33), (5, 13), (13, 6), (23, 17), (10, 19), (31, 4), (8, 7), (5, 19), (29, 32), (16, 9), (13, 24), (18, 3), (24, 27), (28, 17), (25, 33), (13, 4), (3, 24), (10, 20), (22, 9), (1, 0), (28, 19), (20, 10), (14, 28), (24, 7), (21, 14), (20, 1), (25, 12), (32, 8), (8, 13), (10, 24), (32, 18), (22, 24), (31, 33), (26, 25), (8, 1), (34, 14), (4, 32), (23, 9), (16, 17), (21, 16), (1, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 18), (31, 29), (23, 17), (12, 7), (0, 13), (5, 21), (12, 13), (31, 30), (27, 14), (3, 25), (32, 28), (13, 18), (18, 24), (8, 2), (31, 3), (17, 10), (3, 7), (17, 6), (23, 0), (18, 20), (34, 25), (27, 16), (1, 2), (10, 14), (33, 6), (9, 6), (19, 27), (10, 12), (6, 9), (25, 1), (29, 23), (8, 7), (25, 27), (13, 21), (16, 20), (24, 2), (21, 29), (10, 10), (24, 30), (11, 28), (20, 30), (13, 17), (2, 25), (9, 1), (10, 23), (9, 26), (25, 11), (12, 5), (17, 12), (24, 14), (23, 11), (14, 21), (21, 0), (23, 8), (16, 3), (20, 8), (24, 26), (15, 22), (14, 4), (7, 12), (34, 0), (5, 8), (13, 2), (33, 5), (33, 27), (32, 9), (33, 17), (1, 21), (29, 10), (10, 8), (16, 16), (29, 26), (10, 30), (14, 3), (19, 4), (34, 13), (3, 28), (10, 19), (18, 6), (3, 10), (26, 8), (16, 22), (17, 20), (19, 26), (17, 14), (33, 29), (25, 24), (9, 4), (22, 8), (23, 19), (1, 24), (8, 6), (26, 17), (21, 13), (27, 4), (19, 28), (14, 26), (22, 24), (31, 12), (11, 11), (27, 11), (8, 27), (7, 22), (15, 10), (10, 7), (32, 12), (6, 21), (28, 21), (4, 25), (33, 4), (11, 25), (23, 27), (2, 16), (31, 7), (24, 19), (5, 29), (6, 14), (19, 14), (12, 22), (1, 11), (5, 17), (17, 3), (7, 16), (30, 0), (24, 5), (19, 12), (2, 28), (20, 26), (31, 0), (34, 9), (5, 27), (15, 24), (9, 19), (5, 20), (25, 22), (6, 5), (20, 2), (15, 27), (4, 3), (6, 27), (7, 3), (7, 6), (24, 22), (12, 29), (4, 28), (21, 11), (3, 15), (34, 6), (34, 20), (34, 19), (21, 6), (8, 24), (0, 26), (28, 14), (32, 3), (20, 23), (33, 21), (14, 28), (9, 25), (12, 2), (21, 25), (20, 12), (6, 15), (12, 23), (33, 19), (3, 16), (11, 22), (17, 0), (3, 9), (10, 11), (34, 12), (31, 23), (3, 11), (28, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 13), (15, 3), (31, 24), (3, 14), (21, 11), (24, 27), (3, 17), (28, 4), (14, 25), (23, 2), (31, 17), (14, 23), (15, 10), (17, 20), (22, 31), (2, 1), (26, 20), (15, 29), (21, 25), (9, 1), (24, 1), (4, 13), (27, 13), (6, 17), (28, 14), (32, 11), (0, 12), (21, 12), (30, 31), (14, 12), (27, 3), (12, 1), (21, 2), (29, 14), (7, 23), (15, 4), (18, 26), (32, 26), (19, 13), (0, 30), (23, 19), (12, 2), (32, 19), (5, 22), (9, 15), (26, 2), (3, 0), (22, 17), (8, 26), (3, 23), (17, 27), (8, 3), (25, 0), (25, 3), (8, 23), (11, 26), (25, 12), (1, 13), (0, 10), (7, 19), (10, 24), (23, 18), (4, 31), (12, 0), (25, 7), (0, 6), (25, 21), (32, 4), (18, 25), (13, 20), (14, 8), (1, 4), (8, 31), (25, 20), (13, 15), (29, 19), (23, 28), (12, 4), (11, 0), (5, 23), (3, 30), (32, 23), (6, 31), (6, 22), (6, 28), (21, 26), (29, 8), (24, 21), (30, 2), (15, 9), (15, 25), (29, 26), (1, 19), (2, 18), (21, 14), (30, 3), (7, 20), (29, 2), (26, 24), (14, 11), (29, 20), (29, 24), (1, 2), (26, 27), (15, 17), (13, 6), (28, 23), (8, 16), (3, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 36x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 17), (8, 27), (33, 7), (31, 19), (8, 19), (2, 27), (28, 4), (9, 21), (4, 8), (14, 26), (12, 23), (14, 30), (6, 28), (26, 9), (13, 31), (29, 24), (7, 34), (35, 3), (17, 32), (14, 28), (14, 25), (0, 14), (14, 17), (14, 10), (23, 9), (13, 20), (10, 16), (31, 20), (29, 5), (25, 13), (11, 30), (29, 33), (13, 24), (17, 1), (35, 5), (9, 25), (11, 0), (27, 25), (15, 18), (26, 28), (9, 8), (8, 33), (22, 1), (0, 11), (27, 30), (12, 19), (8, 34), (13, 21), (19, 32), (3, 28), (9, 20), (33, 10), (7, 30), (1, 2), (23, 7), (10, 34), (24, 11), (8, 10), (25, 31), (22, 26), (18, 33), (13, 5), (10, 2), (8, 6), (21, 27), (11, 1), (35, 12), (33, 29), (32, 8), (22, 21), (26, 12), (1, 19), (20, 13), (9, 17), (31, 31), (11, 34), (12, 7), (8, 9), (20, 23), (29, 32), (34, 5), (17, 4), (32, 23), (29, 20), (28, 14), (5, 22), (25, 7), (27, 7), (15, 8), (29, 8), (30, 22), (8, 7), (24, 21), (1, 31), (30, 3), (6, 5), (30, 31), (30, 16), (5, 5), (16, 34), (15, 14), (31, 34), (11, 5), (24, 31), (28, 12), (24, 20), (24, 22), (29, 27), (3, 13), (27, 4), (16, 15), (6, 29), (9, 16), (11, 32), (25, 30), (12, 4), (3, 3), (2, 20), (33, 27), (29, 14), (11, 14), (29, 12), (35, 27), (14, 3), (20, 29), (24, 34), (19, 20), (28, 2), (32, 26), (4, 2), (13, 27), (1, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 8), (29, 8), (33, 33), (13, 25), (18, 37), (1, 13), (14, 21), (1, 7), (2, 38), (10, 5), (1, 29), (35, 7), (27, 29), (36, 7), (21, 0), (29, 10), (15, 28), (13, 23), (17, 32), (34, 31), (27, 17), (24, 33), (21, 11), (36, 20), (30, 15), (4, 14), (10, 36), (19, 12), (13, 38), (16, 19), (11, 1), (26, 14), (17, 10), (5, 36), (2, 31), (14, 35), (9, 37), (33, 32), (36, 15), (13, 8), (29, 31), (25, 24), (33, 1), (4, 13), (31, 17), (8, 27), (28, 38), (19, 30), (11, 36), (18, 35), (21, 13), (10, 21), (0, 9), (16, 6), (3, 27), (6, 23), (31, 35), (19, 13), (7, 28), (33, 26), (37, 13), (17, 20), (25, 4), (24, 23), (15, 7), (6, 17), (28, 32), (6, 24), (7, 29), (19, 18), (33, 21), (6, 25), (0, 3), (28, 4), (0, 20), (34, 28), (22, 0), (35, 18), (29, 16), (33, 31), (4, 35), (30, 0), (16, 8), (3, 29), (21, 7), (33, 24), (35, 32), (27, 15), (10, 9), (16, 18), (21, 28), (27, 23), (19, 28), (29, 28), (0, 15), (10, 17), (10, 11), (1, 2), (27, 31), (29, 4), (18, 28), (20, 37), (14, 24), (33, 14), (22, 14), (1, 25), (3, 38), (26, 16), (22, 31), (29, 2), (14, 2), (36, 27), (29, 29), (4, 4), (19, 21), (13, 34), (2, 28), (21, 24), (17, 4), (17, 7), (5, 25), (5, 10), (16, 26), (22, 5), (37, 25), (12, 34), (6, 1), (8, 34), (8, 13), (3, 22), (17, 15), (31, 11), (17, 13), (12, 19), (32, 0), (17, 1), (14, 12), (2, 14), (19, 17), (9, 30), (34, 38), (9, 21), (4, 11), (9, 1), (27, 25), (22, 9), (14, 18), (15, 14), (34, 13), (3, 3), (37, 11), (36, 31), (30, 4), (3, 7), (7, 20), (30, 31), (21, 38), (12, 7), (4, 1), (7, 33), (15, 1), (4, 28), (5, 6), (8, 12), (24, 36), (24, 5), (30, 27), (21, 25), (21, 5), (27, 11), (32, 19), (32, 8), (24, 6), (24, 7), (16, 16), (10, 34), (25, 15), (28, 14), (25, 22), (23, 26), (9, 27), (20, 11), (32, 23), (6, 38), (4, 6), (6, 12), (24, 3), (18, 13), (37, 37), (5, 13), (23, 5), (9, 23), (20, 22), (1, 16), (7, 19), (33, 12), (22, 4), (10, 2), (34, 5), (25, 17), (3, 30), (20, 1), (34, 8), (33, 29), (15, 26), (23, 19), (26, 30), (34, 4), (17, 27), (15, 29), (32, 38), (31, 16), (3, 0), (13, 22), (25, 32), (36, 37), (34, 35), (24, 12), (13, 33), (16, 33), (12, 5), (19, 6), (5, 26), (27, 37), (1, 31), (23, 38), (11, 6), (25, 5), (30, 25), (24, 25), (9, 5), (5, 22), (30, 36), (31, 25), (10, 33), (36, 17), (28, 21), (0, 35), (11, 17), (28, 16), (13, 32), (18, 6), (36, 13), (33, 8), (5, 7), (15, 4), (27, 4), (23, 21), (33, 23), (22, 18), (34, 15), (30, 33), (5, 33), (29, 17), (3, 23), (35, 30), (0, 26), (4, 24), (25, 36), (7, 27), (12, 2), (6, 18), (27, 27), (8, 15), (5, 0), (14, 26), (21, 4), (25, 38)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 34x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 16), (20, 35), (17, 14), (13, 21), (7, 20), (16, 24), (19, 3), (7, 7), (20, 33), (17, 10), (22, 17), (16, 0), (3, 26), (26, 32), (18, 10), (10, 27), (13, 16), (4, 17), (5, 31), (3, 25), (5, 1), (13, 33), (33, 16), (7, 23), (10, 11), (21, 22), (1, 7), (16, 17), (30, 1), (9, 24), (21, 17), (23, 30), (20, 30), (19, 32), (23, 32), (4, 34), (1, 12), (29, 21), (32, 32), (29, 7), (0, 16), (25, 30), (13, 4), (20, 7), (20, 12), (32, 17), (9, 12), (20, 32), (5, 32), (21, 20), (12, 7), (23, 15), (31, 20), (29, 1), (23, 31), (11, 20), (23, 20), (7, 13), (25, 11), (24, 34), (1, 13), (20, 13), (16, 28), (14, 1), (19, 1), (31, 9), (24, 14), (24, 33), (17, 8), (6, 28), (27, 13), (24, 18), (20, 16), (23, 35), (14, 35), (25, 28), (8, 31), (27, 28), (7, 5), (5, 11), (28, 30), (27, 9), (22, 32), (18, 16), (20, 27), (2, 25), (6, 3), (7, 9), (0, 22), (13, 7), (31, 10), (9, 3), (31, 25), (25, 29), (13, 23), (15, 31), (4, 5), (29, 35), (0, 15), (22, 34), (3, 21), (4, 21), (17, 21), (24, 17), (6, 32), (20, 0), (2, 19), (14, 14), (26, 0), (23, 34), (3, 19), (20, 6), (9, 25), (20, 4), (9, 0), (7, 17), (1, 25), (28, 28), (2, 9), (17, 33), (27, 21), (6, 16), (31, 22), (12, 31), (10, 6), (15, 29), (29, 5), (20, 14), (31, 27), (12, 3), (29, 23), (32, 25), (30, 14), (25, 4), (1, 17), (12, 19), (10, 14), (15, 10), (0, 6), (20, 20), (18, 2), (19, 19), (6, 25), (18, 9), (17, 24), (27, 32), (28, 0), (12, 9), (12, 35), (17, 30), (11, 2), (26, 14), (19, 12), (1, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 39x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 13), (25, 18), (24, 18), (22, 12), (32, 22), (19, 21), (36, 2), (38, 4), (10, 19), (36, 4), (5, 3), (27, 9), (3, 7), (23, 2), (29, 7), (7, 13), (1, 20), (3, 23), (27, 31), (15, 10), (2, 13), (4, 5), (35, 19), (13, 27), (12, 29), (33, 7), (22, 31), (13, 25), (7, 9), (23, 30), (35, 9), (7, 25), (33, 16), (5, 2), (37, 31), (6, 20), (9, 26), (28, 16), (0, 22), (7, 22), (11, 14), (2, 1), (31, 32), (38, 26), (31, 27), (3, 16), (29, 16), (26, 20), (18, 14), (21, 28), (34, 4), (35, 15), (8, 28), (9, 22), (11, 5), (6, 12), (14, 21), (30, 23), (13, 8), (1, 18), (5, 24), (19, 20), (29, 8), (0, 16), (4, 21), (32, 15), (9, 16), (10, 25), (23, 31), (27, 5), (2, 8), (2, 22), (29, 1), (32, 25), (31, 19), (13, 13), (20, 9), (26, 30), (9, 21), (10, 10), (22, 23), (12, 5), (9, 11), (16, 1), (27, 7), (36, 7), (18, 23), (3, 20), (6, 3), (28, 0), (12, 1), (20, 18), (18, 5), (9, 9), (33, 17), (19, 28), (0, 21), (32, 10), (27, 22), (18, 30), (21, 14), (38, 16), (15, 15), (32, 8), (35, 22), (27, 28), (1, 24), (22, 22), (3, 15), (8, 13), (17, 0), (12, 0), (5, 9), (9, 20), (4, 23), (17, 25), (28, 9), (12, 10), (31, 12), (2, 27), (35, 11), (25, 20), (4, 19), (24, 31), (18, 20), (28, 23), (19, 31), (36, 8), (8, 1), (7, 6), (29, 5), (16, 15), (1, 29), (26, 31), (11, 19), (6, 2), (30, 18), (19, 11), (4, 22), (23, 7), (25, 0), (17, 31), (31, 9), (14, 15), (16, 26), (31, 7), (36, 24), (30, 19), (23, 9), (1, 12), (22, 30), (22, 15), (18, 7), (38, 30), (37, 13), (19, 6), (4, 10), (8, 31), (3, 12), (2, 30), (5, 32), (10, 0), (24, 21), (29, 2), (14, 30), (36, 23), (35, 10), (4, 31), (6, 6), (10, 20), (26, 25), (33, 23), (16, 11), (4, 30), (20, 30), (1, 16), (20, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 10), (24, 19), (29, 33), (25, 19), (27, 4), (4, 35), (17, 33), (28, 17), (33, 13), (20, 11), (9, 15), (26, 7), (17, 3), (10, 11), (22, 7), (25, 18), (25, 6), (33, 28), (36, 16), (2, 27), (17, 21), (15, 23), (30, 13), (24, 27), (23, 8), (10, 6), (14, 23), (19, 29), (34, 25), (34, 16), (15, 25), (15, 33), (5, 25), (25, 20), (7, 0), (2, 2), (3, 5), (19, 6), (8, 34), (26, 34), (1, 15), (21, 20), (30, 37), (33, 4), (18, 14), (17, 23), (33, 9), (21, 33), (9, 23), (30, 32), (3, 6), (28, 38), (30, 1), (16, 0), (15, 0), (3, 37), (28, 30), (5, 30), (7, 31), (9, 36), (1, 10), (33, 31), (30, 33), (36, 25), (16, 37), (12, 3), (4, 13), (10, 38), (33, 38), (30, 7), (20, 8), (36, 9), (1, 34), (11, 31), (14, 17), (30, 3), (14, 13), (17, 11), (21, 36), (15, 13), (1, 9), (1, 14), (14, 9), (17, 12), (5, 37), (33, 0), (35, 31), (23, 37), (21, 12), (13, 6), (5, 18), (26, 31), (0, 36), (27, 28), (22, 23), (21, 31), (16, 19), (34, 34), (26, 4), (27, 9), (21, 34), (21, 4), (28, 18), (33, 17), (31, 19), (7, 6), (10, 36), (29, 17), (2, 16), (28, 10), (16, 16), (7, 32), (16, 20), (26, 28), (23, 13), (5, 36), (6, 1), (22, 20), (7, 11), (11, 28), (24, 12), (21, 13), (31, 4), (11, 0), (2, 8), (2, 31), (11, 34), (2, 36), (31, 36), (4, 22), (26, 23), (17, 22), (15, 32), (27, 0), (5, 16), (14, 22), (31, 30), (31, 22), (2, 22), (29, 2), (25, 28), (6, 4), (6, 3), (13, 22), (1, 3), (29, 21), (35, 22), (8, 9), (3, 31), (22, 21), (6, 29), (12, 19), (36, 21), (7, 29), (23, 9), (27, 11), (16, 28), (1, 23), (4, 34), (31, 1), (10, 10), (32, 15), (10, 30), (7, 1), (31, 34), (22, 30), (32, 19), (5, 10), (25, 8), (23, 12), (17, 7), (4, 24), (31, 7), (10, 25), (7, 30), (16, 33), (3, 20), (4, 0), (19, 21), (1, 6), (3, 12), (5, 24), (8, 19), (7, 38), (15, 19), (14, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 5), (14, 26), (15, 17), (29, 11), (25, 24), (22, 18), (18, 9), (0, 5), (22, 12), (23, 21), (17, 26), (20, 23), (27, 23), (15, 21), (2, 7), (12, 13), (10, 10), (27, 1), (14, 25), (13, 1), (0, 10), (0, 19), (15, 29), (18, 14), (32, 0), (22, 14), (2, 12), (0, 21), (30, 6), (3, 13), (20, 5), (5, 10), (7, 27), (29, 0), (15, 24), (0, 27), (5, 28), (12, 27), (11, 30), (27, 19), (28, 16), (17, 17), (5, 26), (17, 7), (0, 25), (14, 4), (2, 22), (23, 22), (15, 7), (19, 21), (13, 5), (29, 3), (18, 25), (2, 25), (9, 21), (4, 1), (15, 12), (18, 24), (30, 30), (1, 30), (10, 15), (28, 20), (18, 31), (24, 22), (1, 24), (9, 9), (19, 11), (31, 22), (0, 6), (3, 24), (16, 12), (7, 11), (29, 27), (24, 18), (3, 8), (20, 12), (1, 29), (19, 31), (21, 4), (2, 1), (10, 14), (17, 21), (9, 30), (6, 21), (31, 3), (24, 16), (28, 28), (31, 1), (8, 10), (18, 5), (3, 1), (20, 0), (20, 28), (26, 26), (5, 25), (31, 27), (18, 29), (16, 5), (19, 17), (1, 27), (9, 28), (24, 17), (29, 5), (30, 20), (23, 26), (23, 25), (6, 8), (16, 18), (19, 27), (6, 15), (20, 19), (31, 31), (31, 17), (22, 3), (27, 11), (10, 16), (27, 13), (11, 3), (8, 5), (26, 8), (28, 21), (28, 22), (10, 2), (21, 3), (22, 5), (27, 16), (31, 20), (27, 9), (0, 8), (15, 13), (0, 2), (24, 10), (1, 5), (8, 30), (16, 29), (26, 24), (14, 18), (15, 18), (19, 0), (21, 14), (23, 17), (11, 27), (16, 4), (1, 16), (2, 10), (21, 5), (13, 11), (5, 22), (9, 24), (2, 3), (17, 29), (9, 5), (21, 7), (12, 28), (5, 16), (14, 8), (30, 7), (8, 31), (8, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 22), (19, 15), (25, 35), (29, 15), (7, 0), (28, 19), (3, 9), (8, 9), (11, 32), (21, 28), (20, 19), (6, 27), (19, 24), (19, 10), (3, 6), (8, 4), (18, 36), (25, 10), (24, 5), (24, 2), (5, 23), (5, 16), (16, 5), (0, 23), (1, 18), (13, 5), (1, 23), (26, 28), (5, 6), (8, 28), (14, 17), (9, 2), (25, 9), (5, 15), (26, 22), (10, 23), (19, 0), (17, 7), (26, 31), (21, 33), (2, 35), (4, 2), (16, 17), (26, 2), (11, 23), (10, 33), (2, 27), (13, 26), (2, 14), (8, 7), (20, 21), (8, 36), (0, 13), (17, 22), (17, 32), (22, 32), (25, 25), (22, 28), (28, 2), (24, 3), (9, 9), (4, 4), (1, 17), (5, 33), (13, 13), (28, 28), (29, 0), (7, 17), (22, 0), (29, 35), (15, 9), (12, 8), (7, 16), (15, 3), (18, 5), (19, 34), (15, 30), (27, 4), (12, 1), (13, 24), (1, 9), (0, 11), (13, 19), (1, 24), (15, 27), (14, 12), (13, 28), (16, 11), (15, 24), (10, 10), (17, 9), (20, 16), (17, 23), (26, 15), (21, 22), (18, 8), (23, 22), (28, 31), (17, 13), (20, 24), (0, 7), (23, 24), (2, 9), (6, 28), (8, 30), (11, 24), (16, 16), (22, 1), (12, 27), (10, 17), (29, 22), (4, 13), (17, 30), (4, 21), (9, 27), (28, 16), (7, 14), (14, 8), (1, 34), (1, 19), (25, 34), (28, 1), (18, 13), (22, 20), (3, 7), (7, 34), (7, 25), (22, 25), (18, 16), (13, 16), (2, 7), (3, 29), (14, 16), (7, 4), (12, 10), (28, 10), (11, 34), (12, 24), (24, 13), (29, 28), (20, 29), (12, 26), (2, 30), (12, 20), (11, 18), (8, 32), (11, 4), (19, 8), (15, 1), (4, 34), (1, 13), (2, 17), (16, 19), (6, 21), (24, 18), (23, 19), (19, 3), (18, 32), (20, 8), (18, 6), (9, 28), (13, 4), (9, 3), (11, 15), (21, 26), (22, 33), (21, 30), (10, 5), (14, 11), (9, 34), (10, 22), (16, 10), (3, 18), (16, 9), (10, 31), (7, 5), (21, 8), (24, 0), (25, 19), (28, 5), (15, 33), (8, 17), (8, 16), (12, 35), (23, 20), (22, 34), (23, 17), (11, 28), (24, 24), (15, 23), (3, 19), (16, 24), (21, 5), (9, 20), (0, 29), (20, 33), (9, 10), (29, 34), (20, 26), (14, 18), (23, 28), (21, 36), (5, 13), (11, 9), (5, 24), (12, 25), (7, 24), (6, 22), (18, 4), (16, 15), (19, 2), (23, 31), (24, 12), (16, 3), (25, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 1), (19, 25), (23, 16), (13, 28), (12, 13), (34, 27), (26, 23), (22, 2), (8, 4), (19, 6), (8, 20), (36, 9), (26, 15), (15, 8), (3, 14), (32, 19), (36, 5), (32, 4), (12, 27), (33, 23), (3, 27), (12, 25), (11, 14), (35, 14), (28, 7), (16, 7), (37, 4), (16, 8), (11, 5), (19, 9), (0, 8), (12, 20), (3, 16), (13, 16), (17, 13), (5, 12), (2, 28), (31, 2), (31, 7), (7, 23), (22, 24), (32, 23), (11, 7), (36, 7), (14, 4), (29, 9), (20, 25), (15, 14), (25, 25), (17, 5), (16, 10), (31, 18), (14, 24), (26, 5), (35, 27), (1, 0), (21, 5), (0, 17), (9, 10), (36, 27), (9, 22), (24, 21), (8, 28), (7, 14), (21, 25), (36, 29), (8, 26), (27, 15), (9, 18), (26, 14), (30, 28), (35, 19), (31, 25), (30, 14), (19, 1), (14, 20), (27, 10), (29, 27), (13, 1), (10, 9), (13, 23), (16, 4), (4, 12), (25, 9), (13, 7), (0, 20), (32, 27), (24, 12), (3, 23), (3, 26), (27, 12), (1, 17), (26, 20), (34, 14), (5, 8), (26, 21), (4, 19), (8, 21), (17, 16), (4, 22), (15, 28), (14, 2), (8, 23), (16, 6), (28, 5), (10, 2), (10, 8), (4, 28), (7, 17), (5, 23), (29, 1), (31, 21), (4, 17), (11, 18), (21, 6), (34, 10), (35, 13), (34, 12), (11, 15), (13, 12), (9, 20), (14, 15), (26, 8), (1, 16), (13, 8), (2, 21), (3, 22), (0, 2), (33, 22), (7, 13), (27, 29), (0, 6), (20, 0), (4, 25), (1, 19), (25, 8), (34, 21), (6, 18), (23, 0), (17, 25), (33, 17), (29, 24), (12, 23), (34, 26), (30, 7), (9, 26), (31, 16), (11, 25), (17, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 26), (26, 25), (17, 9), (26, 9), (7, 8), (32, 6), (5, 13), (18, 15), (30, 17), (29, 18), (12, 7), (28, 19), (2, 4), (7, 7), (0, 8), (15, 25), (1, 8), (5, 3), (3, 1), (14, 21), (7, 16), (15, 4), (0, 7), (22, 8), (7, 29), (17, 1), (13, 28), (26, 22), (32, 14), (5, 6), (19, 14), (0, 16), (1, 7), (24, 21), (23, 25), (24, 23), (11, 6), (10, 17), (23, 21), (11, 16), (28, 0), (20, 13), (3, 2), (27, 9), (17, 0), (11, 17), (2, 3), (21, 27), (20, 17), (5, 1), (9, 18), (17, 12), (31, 26), (27, 13), (11, 22), (12, 8), (18, 7), (26, 24), (14, 11), (11, 11), (2, 12), (25, 5), (0, 25), (12, 19), (25, 6), (2, 26), (23, 16), (15, 19), (21, 26), (22, 29), (21, 11), (13, 24), (26, 3), (8, 13), (12, 21), (13, 27), (28, 29), (29, 29), (27, 23), (17, 3), (5, 25), (27, 18), (5, 23), (20, 20), (14, 28), (6, 2), (8, 18), (0, 11), (11, 3), (3, 5), (24, 18), (32, 8), (28, 11), (8, 28), (19, 6), (30, 1), (21, 6), (26, 2), (6, 21), (24, 19), (17, 15), (28, 27), (4, 2), (11, 15), (1, 4), (5, 24), (32, 9), (10, 20), (16, 26), (27, 25), (17, 2), (12, 15), (10, 3), (21, 23), (9, 2), (13, 25), (7, 1), (5, 12), (7, 26), (25, 7), (7, 4), (11, 23), (20, 8), (14, 9), (5, 16), (16, 27), (0, 26), (4, 28), (13, 13), (2, 16), (6, 19), (28, 28), (7, 25), (7, 20), (31, 9), (31, 21), (3, 3), (1, 15), (9, 10), (30, 27), (5, 28), (8, 26), (28, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 7), (20, 24), (5, 12), (6, 17), (7, 20), (8, 14), (10, 24), (18, 31), (26, 8), (28, 18), (10, 29), (1, 25), (24, 12), (0, 8), (1, 14), (7, 21), (3, 30), (24, 2), (14, 17), (9, 20), (12, 15), (26, 17), (28, 24), (22, 10), (8, 31), (2, 9), (18, 26), (15, 26), (20, 22), (4, 5), (9, 18), (5, 0), (25, 19), (17, 15), (18, 28), (8, 5), (5, 28), (12, 11), (0, 1), (31, 17), (5, 16), (20, 1), (25, 16), (2, 14), (31, 16), (3, 28), (14, 3), (11, 4), (12, 18), (8, 8), (17, 10), (2, 15), (30, 12), (26, 7), (22, 27), (25, 18), (2, 10), (20, 13), (4, 31), (16, 25), (23, 19), (27, 15), (16, 31), (19, 23), (29, 19), (16, 1), (28, 4), (6, 9), (13, 0), (18, 17), (13, 31), (27, 19), (30, 29), (0, 11), (28, 19), (14, 28), (31, 24), (15, 19), (11, 9), (31, 0), (20, 19), (29, 7), (22, 0), (8, 3), (13, 16), (3, 4), (14, 5), (26, 29), (5, 14), (5, 3), (23, 10), (21, 8), (24, 16), (1, 7), (27, 4), (18, 14), (29, 18), (10, 16), (10, 8), (14, 6), (4, 20), (2, 0), (8, 7), (17, 29), (13, 18), (17, 5), (6, 25), (12, 26), (24, 24), (2, 23), (8, 16), (24, 9), (19, 14), (30, 10), (7, 24), (31, 14), (6, 27), (17, 12), (7, 11), (25, 29), (4, 8), (23, 15), (7, 14), (6, 13), (27, 31), (31, 26), (28, 25), (27, 25), (28, 0), (25, 21), (16, 20), (5, 17), (4, 14), (27, 23), (29, 26), (5, 4), (25, 11), (30, 16), (23, 31), (30, 27), (28, 28), (8, 11), (1, 28), (21, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 27), (5, 23), (28, 27), (27, 9), (27, 3), (10, 36), (27, 34), (9, 11), (29, 6), (25, 20), (14, 16), (15, 0), (16, 28), (3, 26), (18, 7), (21, 15), (12, 10), (9, 5), (29, 19), (29, 13), (20, 9), (15, 14), (15, 37), (0, 30), (24, 30), (16, 35), (16, 3), (22, 7), (27, 37), (25, 11), (25, 9), (12, 8), (16, 11), (0, 1), (23, 12), (5, 3), (18, 33), (26, 26), (4, 31), (6, 15), (13, 7), (10, 25), (29, 7), (27, 5), (9, 12), (11, 30), (12, 21), (9, 33), (11, 11), (2, 7), (26, 30), (4, 0), (1, 20), (14, 24), (8, 34), (26, 0), (4, 10), (15, 6), (27, 33), (3, 19), (26, 10), (25, 2), (26, 16), (27, 22), (24, 23), (27, 2), (6, 29), (19, 33), (13, 13), (19, 29), (28, 15), (18, 36), (23, 17), (29, 16), (10, 3), (27, 16), (11, 9), (14, 0), (10, 11), (27, 35), (8, 35), (29, 33), (15, 17), (21, 33), (14, 28), (16, 29), (16, 15), (23, 31), (13, 25), (1, 32), (11, 34), (2, 33), (25, 21), (0, 20), (3, 29), (17, 33), (15, 3), (12, 12), (7, 12), (1, 14), (13, 32), (1, 28), (18, 16), (11, 28), (27, 1), (21, 9), (16, 25), (19, 12), (8, 16), (29, 29), (23, 18), (28, 23), (16, 30), (26, 12), (17, 7), (7, 20), (23, 29), (3, 2), (12, 11), (20, 8), (20, 7), (21, 30), (10, 16), (0, 21), (5, 37), (22, 34), (1, 1), (1, 37)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 8), (1, 19), (28, 26), (4, 16), (27, 14), (27, 33), (5, 19), (29, 2), (18, 0), (5, 25), (28, 16), (11, 23), (26, 27), (17, 10), (11, 11), (29, 33), (16, 9), (21, 11), (4, 13), (4, 3), (27, 30), (6, 27), (15, 20), (16, 25), (9, 4), (6, 1), (18, 29), (4, 34), (3, 4), (18, 20), (10, 0), (23, 26), (19, 7), (10, 4), (28, 31), (21, 33), (16, 16), (21, 16), (18, 3), (17, 27), (25, 26), (3, 9), (16, 18), (13, 20), (14, 19), (21, 35), (23, 23), (13, 14), (29, 34), (20, 9), (9, 13), (25, 0), (1, 3), (7, 11), (21, 2), (17, 24), (18, 4), (21, 32), (28, 12), (12, 11), (20, 31), (16, 31), (3, 28), (0, 14), (16, 1), (12, 14), (28, 1), (15, 24), (3, 24), (3, 35), (3, 23), (18, 26), (24, 18), (0, 26), (4, 2), (28, 34), (13, 10), (4, 15), (16, 0), (27, 10), (3, 14), (7, 24), (9, 24), (19, 8), (22, 29), (5, 16), (10, 9), (0, 21), (25, 13), (23, 1), (0, 34), (28, 10), (4, 0), (16, 23), (6, 26), (8, 18), (8, 24), (21, 17), (8, 21), (17, 3), (25, 32), (9, 5), (9, 2), (8, 28), (11, 12), (9, 35), (6, 9), (9, 12), (7, 25), (6, 10), (22, 22), (9, 10), (25, 23), (4, 29), (14, 15), (2, 6), (20, 23), (19, 29), (17, 4), (13, 23), (26, 33), (10, 32), (13, 9), (26, 35), (15, 5), (29, 18), (24, 19), (1, 5), (26, 10), (13, 2), (10, 23), (27, 17), (13, 11), (25, 5), (14, 1), (29, 31), (26, 23), (6, 22), (13, 0), (2, 17), (24, 11), (26, 0), (5, 13), (3, 15), (10, 25), (29, 20), (6, 12), (20, 24), (13, 16), (0, 15), (26, 1), (20, 30), (12, 7), (9, 0), (21, 34), (15, 22), (27, 1), (4, 26), (9, 11), (15, 26), (9, 14), (2, 22), (11, 0), (4, 19), (2, 32), (7, 10), (12, 29), (2, 27), (0, 4), (0, 1), (24, 6), (5, 15), (16, 34), (23, 27), (28, 27), (19, 2), (18, 7), (24, 0), (15, 11), (13, 13), (17, 15), (18, 13), (29, 8), (12, 12), (27, 25), (23, 22), (2, 21), (14, 22), (14, 3), (10, 13), (7, 2), (2, 1), (3, 31), (18, 9), (14, 14), (1, 35), (0, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 32x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 33), (5, 9), (19, 21), (25, 15), (15, 6), (15, 22), (18, 26), (3, 1), (5, 23), (15, 18), (14, 9), (3, 8), (10, 20), (2, 21), (11, 27), (22, 10), (14, 23), (19, 29), (11, 30), (24, 7), (3, 13), (17, 22), (17, 19), (9, 7), (0, 3), (11, 1), (18, 14), (7, 33), (20, 0), (16, 20), (12, 31), (31, 12), (18, 32), (6, 10), (19, 6), (11, 3), (29, 6), (14, 2), (11, 9), (18, 24), (18, 17), (8, 0), (27, 5), (28, 7), (26, 8), (31, 10), (19, 8), (16, 9), (0, 26), (9, 16), (13, 24), (15, 7), (12, 11), (6, 14), (1, 13), (27, 3), (29, 23), (26, 4), (9, 15), (12, 20), (20, 29), (12, 23), (21, 14), (22, 21), (19, 14), (7, 28), (12, 4), (1, 7), (10, 19), (16, 16), (12, 18), (16, 27), (27, 2), (24, 25), (11, 26), (21, 17), (31, 30), (5, 12), (26, 23), (19, 15), (5, 11), (20, 30), (26, 15), (30, 6), (28, 23), (27, 33), (9, 25), (28, 3), (27, 20), (13, 31), (28, 33), (9, 6), (24, 31), (1, 27), (14, 20), (8, 22), (26, 29), (17, 13), (23, 21), (19, 1), (28, 6), (12, 7), (15, 15), (14, 31), (21, 26), (3, 5), (28, 26), (27, 14), (21, 20), (2, 16), (17, 10), (23, 16), (16, 13), (24, 14), (31, 13), (21, 7), (24, 2), (10, 0), (19, 18), (27, 23), (14, 12), (4, 14), (4, 19), (12, 9), (29, 31), (16, 30), (5, 29), (24, 1), (17, 25), (28, 14), (17, 14), (20, 32), (27, 0), (4, 26), (31, 5), (6, 5), (12, 6), (27, 9), (1, 29), (21, 18), (18, 10), (23, 4), (24, 6), (31, 31), (20, 5), (2, 15), (18, 30), (24, 32), (5, 19), (8, 12), (10, 5), (26, 27), (17, 23), (12, 33), (16, 23), (7, 32), (19, 12), (19, 7), (29, 13), (11, 4), (23, 5), (0, 7), (9, 12), (17, 3), (20, 23), (25, 30), (22, 18), (11, 29), (22, 32), (25, 1), (17, 29), (18, 7), (31, 32), (27, 1), (25, 12), (21, 12), (22, 17), (25, 20), (30, 32), (18, 0), (14, 27), (19, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 30x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (7, 13), (27, 26), (8, 22), (25, 8), (2, 19), (15, 28), (28, 19), (14, 4), (15, 21), (26, 2), (28, 3), (8, 24), (2, 0), (16, 29), (16, 18), (13, 17), (27, 25), (5, 13), (25, 12), (15, 26), (14, 21), (4, 18), (27, 0), (12, 10), (22, 13), (3, 15), (8, 4), (7, 4), (17, 27), (2, 28), (15, 32), (25, 28), (7, 11), (23, 12), (7, 29), (14, 1), (18, 18), (25, 29), (1, 31), (8, 7), (10, 21), (26, 14), (6, 21), (12, 13), (7, 16), (18, 29), (17, 19), (6, 26), (14, 34), (1, 16), (29, 6), (16, 1), (7, 25), (24, 17), (13, 5), (2, 8), (12, 26), (28, 24), (29, 9), (26, 19), (6, 1), (19, 15), (11, 22), (7, 24), (23, 26), (13, 4), (0, 6), (2, 7), (13, 2), (10, 15), (6, 33), (6, 32), (21, 33), (28, 4), (8, 10), (27, 3), (12, 22), (24, 27), (3, 14), (18, 31), (11, 26), (4, 35), (19, 32), (19, 19), (24, 15), (20, 9), (24, 32), (0, 35), (4, 20), (2, 33), (28, 16), (9, 26), (8, 13), (22, 26), (26, 21), (20, 21), (17, 15), (16, 23), (0, 30), (27, 27), (21, 9), (2, 22), (6, 11), (16, 10), (23, 20), (12, 2), (15, 12), (4, 3), (14, 17), (19, 23), (19, 22), (23, 15), (1, 3), (0, 24), (29, 27), (2, 10), (22, 32), (5, 12), (20, 20), (28, 6), (1, 17), (2, 5), (8, 1), (0, 28), (28, 27), (3, 8), (10, 34), (19, 2), (3, 0), (2, 18), (4, 10), (1, 18), (3, 1), (21, 22), (4, 28), (16, 8), (8, 14), (6, 4), (14, 18), (26, 27), (21, 1), (9, 6), (26, 7), (15, 2), (29, 12), (4, 13), (1, 12), (8, 6), (12, 35), (8, 29), (8, 20), (2, 13), (14, 25), (11, 31), (10, 3), (21, 15), (10, 10), (20, 26), (9, 14), (14, 29), (26, 11), (0, 27), (7, 8), (22, 33), (0, 23), (27, 9), (21, 27), (20, 17), (9, 25), (11, 24), (0, 31), (5, 30), (9, 35), (4, 7), (28, 5), (6, 31), (9, 27), (29, 30), (27, 35), (19, 17), (3, 34), (3, 9), (1, 33), (26, 32), (4, 4), (13, 21), (17, 33), (21, 12), (19, 3), (28, 10), (17, 0), (2, 35), (26, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 35x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 7), (16, 2), (3, 21), (27, 27), (15, 12), (1, 11), (29, 27), (19, 12), (20, 14), (28, 18), (9, 26), (26, 12), (31, 13), (11, 9), (4, 19), (11, 11), (9, 2), (25, 18), (8, 10), (15, 22), (9, 12), (24, 7), (3, 8), (10, 6), (15, 30), (33, 26), (14, 2), (34, 14), (20, 13), (28, 26), (11, 10), (22, 16), (7, 17), (4, 3), (22, 4), (18, 8), (17, 20), (7, 2), (8, 28), (31, 28), (2, 23), (19, 22), (25, 16), (7, 24), (4, 16), (1, 5), (1, 21), (7, 33), (30, 15), (34, 0), (30, 31), (17, 32), (18, 13), (24, 13), (12, 25), (24, 32), (14, 24), (2, 12), (26, 8), (16, 0), (11, 27), (18, 25), (1, 0), (12, 9), (26, 0), (22, 17), (17, 27), (15, 20), (27, 10), (8, 8), (20, 18), (7, 7), (4, 25), (3, 0), (27, 16), (15, 6), (8, 12), (24, 21), (20, 20), (4, 13), (10, 13), (30, 3), (11, 23), (13, 28), (8, 19), (6, 7), (28, 23), (27, 0), (2, 8), (19, 8), (7, 19), (31, 1), (22, 14), (29, 14), (10, 30), (18, 18), (4, 28), (13, 25), (30, 20), (1, 25), (6, 6), (33, 2), (19, 13), (12, 20), (17, 21), (4, 21), (11, 1), (5, 16), (33, 33), (2, 33), (8, 31), (32, 5), (15, 26), (27, 5), (26, 22), (24, 31), (18, 27), (26, 1), (21, 10), (6, 19), (10, 27), (20, 26), (4, 9), (19, 29), (23, 25), (28, 12), (9, 15), (28, 32), (27, 17), (5, 1), (21, 24), (19, 23), (30, 27), (34, 18), (18, 6), (22, 13), (29, 6), (19, 30), (31, 10), (20, 7), (20, 2), (21, 14), (3, 1), (25, 27), (21, 17), (0, 29), (4, 2), (8, 24), (6, 26), (22, 0), (7, 28), (32, 7), (25, 23), (32, 17), (23, 8), (12, 29), (33, 10), (33, 5), (4, 24), (24, 12), (16, 4), (24, 10), (14, 13), (23, 12), (29, 22), (15, 4), (23, 32), (26, 6), (13, 4), (31, 17), (14, 30), (7, 21), (8, 3), (25, 20), (18, 33), (21, 31), (3, 4), (10, 18), (23, 23), (9, 31), (1, 2), (29, 21), (12, 19), (20, 12), (22, 15), (32, 0), (7, 20), (28, 14), (15, 13), (10, 8), (5, 26), (10, 21), (0, 20), (18, 0), (24, 4), (29, 20), (27, 30), (0, 23), (24, 26), (0, 7), (33, 30), (18, 16), (15, 16), (29, 25), (5, 17), (21, 4), (10, 0), (15, 3), (4, 23), (34, 30), (8, 9), (12, 6), (8, 4), (1, 7), (24, 23), (26, 16), (6, 9), (4, 5), (31, 19), (2, 17), (10, 11), (2, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 35x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 14), (15, 16), (4, 20), (2, 27), (11, 4), (4, 32), (14, 19), (25, 2), (14, 21), (20, 22), (21, 19), (11, 32), (6, 7), (17, 5), (12, 2), (1, 10), (33, 1), (18, 14), (7, 33), (18, 28), (3, 28), (24, 24), (15, 25), (20, 28), (0, 4), (7, 12), (5, 35), (9, 13), (25, 4), (30, 28), (16, 10), (10, 2), (15, 23), (16, 12), (1, 23), (22, 20), (17, 29), (20, 26), (22, 24), (20, 2), (25, 32), (1, 9), (33, 6), (1, 30), (32, 23), (14, 30), (32, 4), (7, 21), (9, 0), (10, 17), (26, 35), (5, 4), (16, 9), (13, 12), (2, 18), (20, 20), (25, 12), (8, 11), (24, 17), (9, 23), (5, 29), (4, 3), (23, 17), (8, 6), (14, 24), (34, 17), (9, 14), (27, 31), (23, 29), (27, 18), (14, 22), (31, 34), (33, 16), (16, 16), (20, 10), (28, 26), (27, 28), (20, 14), (7, 32), (15, 20), (5, 23), (29, 24), (33, 0), (0, 29), (18, 18), (30, 19), (33, 8), (24, 9), (24, 15), (19, 28), (3, 1), (32, 17), (26, 7), (4, 31), (25, 34), (32, 21), (29, 18), (15, 0), (22, 2), (33, 23), (3, 25), (25, 21), (32, 16), (24, 5), (34, 20), (14, 23), (24, 31), (7, 19), (29, 35), (30, 6), (31, 8), (23, 31), (16, 31), (12, 4), (17, 11), (5, 24), (25, 23), (13, 35), (3, 15), (30, 7), (2, 33), (14, 8), (20, 7), (17, 2), (11, 23), (29, 33), (32, 14), (16, 2), (18, 24), (20, 29), (4, 23), (34, 30), (27, 22), (16, 11), (11, 17), (28, 23), (7, 26), (29, 20), (31, 13), (23, 11), (12, 27), (29, 1), (15, 32), (19, 4), (2, 22), (27, 27), (14, 25), (30, 26), (29, 15), (21, 30), (20, 16), (13, 23), (28, 33), (30, 35), (13, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 17), (14, 5), (12, 0), (9, 6), (7, 10), (13, 2), (16, 18), (21, 3), (1, 9), (23, 12), (4, 0), (4, 35), (25, 0), (27, 15), (18, 19), (27, 8), (18, 37), (27, 23), (29, 4), (10, 16), (23, 2), (9, 11), (16, 32), (8, 25), (15, 10), (11, 1), (20, 13), (3, 36), (22, 9), (2, 17), (7, 3), (26, 37), (27, 22), (18, 4), (13, 20), (21, 26), (24, 31), (5, 38), (10, 6), (18, 7), (1, 5), (22, 14), (8, 35), (16, 11), (10, 29), (16, 38), (3, 3), (2, 12), (28, 24), (10, 38), (23, 31), (11, 12), (0, 28), (6, 26), (14, 35), (3, 17), (13, 17), (3, 21), (29, 11), (12, 4), (15, 14), (4, 17), (6, 17), (27, 18), (22, 21), (13, 22), (2, 0), (24, 12), (5, 5), (14, 15), (0, 6), (4, 36), (27, 24), (0, 17), (14, 6), (25, 2), (9, 25), (0, 8), (22, 2), (7, 22), (4, 31), (20, 36), (22, 32), (24, 13), (21, 9), (0, 11), (26, 28), (29, 33), (18, 34), (7, 23), (7, 2), (16, 37), (10, 12), (3, 6), (21, 19), (8, 26), (1, 36), (23, 29), (1, 27), (17, 24), (11, 2), (7, 32), (26, 26), (7, 5), (29, 15), (9, 37), (11, 34), (22, 19), (17, 9), (20, 9), (28, 34), (23, 35), (17, 25), (20, 24), (14, 26), (13, 24), (27, 38), (22, 27), (2, 26), (19, 37), (29, 0), (12, 11), (7, 6), (23, 1), (3, 28), (19, 34), (8, 10), (6, 25), (12, 6), (10, 28), (27, 34), (6, 5), (18, 1), (17, 20), (9, 0), (15, 21), (13, 29), (8, 17), (23, 25), (18, 12), (21, 17), (8, 19), (12, 17), (19, 16), (10, 7), (5, 21), (24, 29), (13, 16), (7, 18), (6, 36), (15, 7), (28, 16), (6, 31), (13, 32), (21, 5), (28, 6), (15, 4), (10, 22), (19, 2), (17, 13), (7, 8), (2, 37), (13, 1), (26, 7), (3, 5), (2, 21), (20, 12), (4, 7), (5, 0), (7, 20), (15, 38), (22, 3), (24, 11), (16, 10), (8, 20), (25, 29), (8, 0), (16, 1), (13, 15), (6, 34), (27, 5), (11, 32), (8, 16), (4, 12), (22, 0), (5, 29), (29, 31), (16, 31), (10, 23), (5, 24), (22, 17), (15, 32), (25, 24), (23, 37), (8, 33), (17, 27), (24, 28), (29, 19), (9, 27), (26, 2), (20, 25), (23, 11), (7, 34), (25, 12), (14, 4), (24, 18), (7, 19), (28, 38)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 39x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 28), (12, 31), (38, 9), (17, 32), (4, 17), (38, 11), (32, 8), (22, 25), (1, 34), (31, 17), (36, 6), (7, 33), (33, 20), (28, 24), (29, 30), (8, 18), (30, 17), (22, 7), (38, 21), (36, 21), (33, 28), (21, 14), (37, 6), (15, 9), (7, 31), (37, 32), (11, 17), (5, 14), (23, 20), (4, 27), (3, 9), (7, 18), (1, 24), (24, 1), (26, 21), (10, 6), (32, 34), (17, 17), (30, 29), (31, 20), (25, 10), (16, 7), (9, 16), (35, 12), (19, 23), (0, 17), (27, 11), (24, 29), (35, 20), (26, 33), (30, 11), (33, 30), (25, 33), (25, 1), (17, 22), (19, 25), (26, 0), (13, 10), (9, 17), (26, 10), (27, 33), (36, 11), (1, 6), (38, 25), (5, 29), (21, 5), (23, 9), (3, 7), (8, 24), (37, 5), (37, 1), (13, 28), (0, 18), (26, 9), (19, 27), (25, 31), (28, 32), (31, 25), (29, 7), (31, 24), (0, 8), (2, 28), (14, 9), (36, 20), (12, 29), (19, 14), (10, 24), (25, 30), (13, 3), (28, 13), (33, 24), (18, 4), (18, 0), (22, 21), (19, 29), (6, 15), (29, 10), (0, 6), (32, 6), (20, 16), (35, 27), (8, 26), (37, 27), (36, 3), (9, 4), (32, 1), (29, 5), (23, 27), (34, 11), (13, 7), (23, 21), (36, 34), (18, 13), (1, 30), (3, 33), (4, 24), (5, 0), (30, 22), (22, 29), (9, 30), (30, 30), (27, 14), (21, 2), (19, 4), (6, 9), (4, 6), (8, 22), (10, 18), (4, 25), (23, 4), (29, 27), (25, 21), (11, 4), (11, 13), (21, 30), (30, 19), (33, 26), (0, 20), (31, 26), (34, 27), (29, 16), (34, 9), (37, 34), (1, 7), (21, 17), (27, 26), (7, 14), (0, 15), (23, 24), (11, 1), (7, 29), (5, 12), (33, 4), (37, 20), (3, 8), (10, 3), (12, 25), (1, 22), (23, 19), (18, 22), (31, 32), (4, 33), (1, 11), (12, 32), (0, 19), (20, 33), (4, 23), (24, 4), (17, 12), (19, 13), (19, 33), (11, 26), (13, 19), (21, 24), (9, 10), (33, 12), (31, 14), (7, 23), (0, 24), (13, 34), (30, 21), (7, 2), (27, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 33x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (29, 34), (13, 24), (32, 27), (25, 4), (13, 9), (26, 1), (27, 32), (16, 30), (29, 28), (27, 30), (11, 4), (24, 16), (10, 7), (4, 7), (2, 19), (9, 4), (31, 6), (7, 8), (18, 17), (10, 0), (25, 7), (20, 26), (13, 2), (10, 9), (13, 26), (24, 15), (31, 24), (21, 2), (31, 26), (9, 5), (16, 0), (16, 17), (8, 34), (12, 6), (32, 21), (31, 3), (23, 0), (28, 34), (21, 18), (7, 28), (12, 26), (13, 16), (23, 11), (19, 8), (7, 3), (22, 35), (0, 31), (31, 0), (29, 33), (1, 8), (31, 29), (3, 0), (30, 15), (28, 21), (6, 14), (29, 13), (0, 15), (29, 17), (8, 4), (11, 12), (28, 24), (29, 10), (30, 10), (3, 17), (1, 2), (18, 1), (30, 29), (32, 11), (20, 10), (7, 4), (7, 11), (16, 31), (13, 19), (25, 14), (18, 19), (5, 31), (14, 4), (22, 0), (6, 30), (0, 26), (22, 21), (12, 25), (3, 14), (16, 10), (32, 29), (29, 18), (29, 35), (29, 31), (9, 28), (24, 3), (20, 33), (6, 2), (25, 35), (22, 18), (10, 30), (3, 3), (21, 35), (28, 7), (25, 6), (16, 5), (11, 18), (9, 31), (9, 23), (27, 7), (10, 22), (17, 7), (2, 10), (0, 25), (15, 28), (14, 24), (6, 36), (9, 24), (11, 35), (17, 16), (4, 3), (7, 27), (0, 28), (22, 31), (5, 17), (16, 8), (21, 19), (24, 17), (22, 2), (28, 9), (15, 31), (7, 14), (15, 9), (24, 4), (14, 0), (24, 11), (0, 18), (17, 21), (25, 1), (24, 18), (8, 14), (26, 5), (8, 27), (25, 8), (3, 18), (13, 11), (12, 19), (22, 23), (1, 17), (10, 11), (16, 36), (7, 20), (18, 24), (27, 9), (4, 29), (4, 34), (20, 18), (7, 5), (17, 31), (10, 29), (6, 24), (24, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 33), (5, 20), (18, 2), (2, 6), (22, 28), (3, 29), (7, 10), (10, 20), (25, 31), (21, 32), (3, 16), (16, 10), (26, 8), (19, 11), (18, 7), (2, 1), (14, 3), (28, 32), (26, 15), (11, 3), (8, 16), (26, 21), (8, 10), (13, 8), (16, 25), (29, 1), (8, 30), (21, 10), (7, 33), (12, 14), (24, 29), (12, 33), (30, 1), (1, 6), (9, 5), (29, 32), (26, 31), (23, 15), (6, 11), (0, 27), (19, 3), (0, 26), (8, 1), (8, 9), (2, 18), (9, 16), (10, 18), (7, 12), (17, 31), (13, 32), (9, 26), (23, 17), (27, 25), (29, 15), (29, 21), (12, 12), (15, 24), (2, 11), (22, 29), (12, 1), (23, 12), (6, 25), (27, 6), (17, 22), (30, 26), (13, 1), (10, 12), (12, 11), (29, 16), (28, 13), (6, 14), (21, 7), (8, 18), (23, 18), (7, 5), (24, 16), (5, 22), (23, 26), (21, 33), (3, 27), (11, 16), (2, 5), (10, 9), (21, 2), (0, 28), (6, 13), (6, 33), (22, 21), (14, 16), (27, 11), (4, 35), (12, 23), (12, 26), (1, 10), (2, 19), (1, 18), (24, 27), (22, 17), (6, 29), (2, 12), (4, 12), (6, 3), (3, 15), (4, 13), (27, 17), (26, 34), (16, 33), (9, 30), (28, 3), (16, 9), (21, 20), (3, 34), (11, 12), (13, 4), (15, 21), (9, 31), (14, 20), (22, 22), (11, 30), (14, 24), (27, 24), (8, 23), (20, 8), (6, 30), (3, 24), (5, 30), (20, 12), (13, 2), (28, 10), (14, 7), (21, 3), (28, 20), (23, 20), (25, 26), (8, 31), (17, 34), (29, 8), (17, 11), (10, 26), (24, 32), (2, 25), (14, 2), (17, 27), (22, 27), (17, 20), (19, 26), (23, 9), (17, 18), (3, 31), (20, 10), (21, 15), (9, 35), (20, 15), (9, 33), (2, 24), (15, 13), (13, 28), (12, 10), (27, 21), (1, 12), (11, 35), (8, 15), (5, 15), (24, 17), (29, 28), (2, 20), (23, 10), (25, 14), (1, 2), (1, 27), (1, 24), (12, 9), (27, 35), (25, 5), (14, 35), (4, 32), (19, 1), (28, 0), (23, 34), (6, 8), (30, 7), (13, 0), (4, 31), (5, 35), (25, 30), (2, 15), (6, 16), (9, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 34x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (10, 4), (23, 0), (4, 3), (2, 13), (5, 4), (32, 28), (24, 14), (26, 24), (1, 7), (29, 4), (32, 24), (22, 6), (11, 14), (29, 11), (30, 15), (7, 12), (18, 12), (10, 26), (14, 5), (23, 2), (12, 19), (18, 14), (13, 1), (14, 7), (8, 14), (18, 19), (3, 27), (32, 15), (3, 11), (32, 21), (29, 1), (9, 28), (29, 16), (9, 15), (5, 28), (5, 13), (20, 22), (2, 2), (6, 17), (8, 6), (20, 8), (1, 3), (16, 29), (14, 14), (33, 21), (32, 16), (22, 23), (3, 29), (32, 4), (21, 19), (16, 4), (13, 28), (5, 6), (11, 27), (21, 17), (12, 3), (14, 9), (17, 4), (29, 26), (15, 7), (20, 6), (32, 11), (6, 7), (32, 26), (10, 27), (28, 29), (21, 26), (20, 12), (1, 17), (26, 4), (27, 5), (30, 25), (7, 29), (3, 2), (17, 16), (6, 12), (27, 23), (1, 28), (21, 24), (16, 16), (26, 0), (22, 5), (13, 11), (21, 5), (31, 0), (25, 24), (0, 10), (15, 20), (11, 12), (5, 23), (13, 17), (31, 13), (22, 7), (31, 22), (8, 2), (14, 16), (22, 4), (3, 17), (28, 0), (12, 7), (24, 27), (33, 9), (21, 23), (30, 19), (26, 13), (21, 18), (33, 19), (22, 16), (18, 8), (14, 4), (28, 27), (31, 26), (25, 20), (8, 21), (25, 22), (30, 24), (0, 28), (4, 20), (25, 7), (7, 21), (7, 18), (16, 0), (10, 8), (12, 20), (3, 15), (27, 8), (24, 21), (5, 16), (11, 26), (23, 15), (2, 1), (1, 11), (6, 4), (19, 6), (0, 16), (8, 28), (9, 18), (1, 12), (5, 1), (24, 5), (15, 21), (28, 10), (7, 8), (22, 15), (13, 19), (27, 6), (19, 23), (30, 18), (13, 23), (19, 28), (30, 20), (12, 29), (32, 6), (24, 19), (7, 13), (29, 17), (29, 14), (27, 25), (22, 19), (19, 0), (29, 7), (0, 18), (14, 6), (19, 15), (12, 26), (8, 26), (19, 24), (31, 12), (27, 2), (9, 2), (22, 9), (7, 1), (28, 3), (0, 7), (14, 28), (9, 20), (14, 17), (16, 13), (19, 21), (25, 29), (17, 13), (23, 8), (20, 7), (31, 23), (29, 19), (3, 26), (0, 21), (33, 3), (28, 4), (4, 29), (1, 4), (8, 9), (17, 5), (28, 24), (11, 29), (25, 6), (12, 16), (16, 28), (4, 18), (25, 25), (8, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 25), (0, 21), (5, 21), (38, 20), (33, 35), (17, 11), (26, 17), (12, 13), (38, 8), (36, 12), (21, 11), (30, 19), (35, 32), (37, 29), (17, 38), (28, 19), (12, 34), (8, 26), (13, 30), (6, 33), (6, 10), (5, 7), (0, 34), (20, 1), (4, 30), (7, 12), (27, 17), (30, 31), (35, 21), (8, 18), (24, 33), (30, 7), (13, 25), (15, 28), (4, 3), (25, 22), (6, 18), (1, 12), (36, 24), (15, 29), (15, 21), (16, 21), (38, 14), (1, 23), (31, 32), (35, 29), (19, 8), (1, 13), (3, 5), (36, 31), (11, 12), (13, 26), (13, 21), (19, 35), (19, 19), (8, 3), (23, 5), (23, 23), (28, 36), (12, 1), (26, 4), (28, 1), (25, 15), (2, 25), (21, 0), (31, 25), (33, 18), (25, 31), (18, 2), (13, 33), (23, 13), (11, 3), (10, 19), (32, 8), (13, 4), (25, 28), (26, 26), (19, 14), (3, 26), (1, 32), (7, 17), (17, 37), (36, 18), (5, 16), (37, 24), (32, 26), (1, 4), (19, 0), (28, 15), (4, 17), (18, 9), (21, 12), (12, 4), (20, 0), (32, 32), (21, 22), (5, 29), (25, 29), (26, 7), (7, 33), (4, 23), (33, 38), (34, 20), (28, 28), (7, 19), (19, 16), (37, 30), (27, 27), (2, 27), (31, 34), (21, 38), (23, 3), (12, 6), (37, 4), (7, 9), (4, 18), (28, 32), (2, 16), (28, 5), (6, 27), (22, 36), (30, 37), (37, 6), (25, 6), (19, 4), (36, 37), (17, 21), (35, 9), (19, 38), (10, 33), (18, 29), (27, 23), (6, 7), (4, 2), (35, 4), (28, 31), (30, 4), (11, 14), (0, 30), (35, 20), (37, 18), (19, 20), (19, 10), (35, 34), (26, 1), (31, 0), (28, 27), (29, 6), (35, 35), (19, 1), (31, 29), (32, 33), (10, 32), (2, 14), (20, 31), (13, 1), (36, 20), (0, 26), (9, 1), (16, 10), (17, 15), (23, 30), (18, 22), (30, 21), (9, 37), (3, 18), (22, 14), (35, 15), (9, 0), (35, 5), (26, 6), (20, 28), (31, 24), (35, 26), (21, 29), (20, 12), (18, 4), (8, 31), (33, 15), (37, 28), (25, 38), (28, 4), (20, 38), (33, 12), (23, 9), (36, 36), (14, 24), (32, 7), (13, 28), (0, 13), (16, 8), (24, 10), (2, 33), (7, 37), (25, 2), (34, 38), (11, 6), (9, 8), (16, 17), (15, 30), (30, 12), (3, 1), (11, 18), (23, 32), (30, 1), (7, 31), (8, 25), (18, 15), (20, 37), (10, 16), (34, 2), (12, 30), (25, 17), (12, 35), (8, 28), (28, 3), (37, 2), (28, 37), (25, 25), (24, 25), (24, 35), (37, 27), (18, 31), (34, 19), (19, 22), (9, 32), (32, 30), (29, 1), (31, 2), (34, 9), (4, 1), (18, 17), (22, 20), (23, 22), (7, 36), (13, 22), (14, 16), (8, 5), (10, 3), (19, 25), (24, 30), (6, 23), (29, 32), (18, 25), (22, 7), (20, 25), (15, 37), (16, 22), (17, 29), (37, 20), (21, 19), (36, 30), (10, 12), (12, 3), (33, 1), (15, 17), (37, 15), (4, 9), (34, 24), (27, 38), (32, 21), (20, 26), (21, 9), (30, 35), (26, 3), (16, 25), (6, 29), (6, 25), (35, 2), (37, 36), (34, 11), (29, 9), (6, 32), (31, 33), (18, 8), (15, 16), (12, 36), (13, 36), (11, 10), (36, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 25), (12, 24), (0, 9), (13, 14), (29, 24), (21, 30), (0, 18), (10, 31), (11, 1), (9, 1), (13, 16), (13, 19), (12, 4), (25, 7), (28, 25), (3, 18), (17, 16), (11, 13), (27, 9), (10, 29), (30, 8), (27, 19), (9, 5), (11, 30), (4, 18), (20, 2), (9, 17), (24, 27), (17, 10), (14, 22), (2, 30), (29, 5), (8, 15), (9, 29), (29, 15), (18, 20), (12, 13), (5, 8), (6, 8), (20, 34), (30, 1), (10, 14), (5, 23), (26, 26), (30, 25), (16, 0), (5, 7), (16, 32), (17, 4), (4, 13), (17, 34), (12, 21), (20, 12), (2, 8), (29, 16), (12, 20), (23, 16), (27, 6), (22, 23), (1, 20), (7, 21), (2, 20), (19, 13), (5, 31), (8, 33), (5, 9), (27, 33), (24, 14), (16, 27), (20, 22), (6, 20), (4, 30), (8, 7), (12, 31), (2, 16), (16, 3), (7, 25), (27, 27), (17, 30), (23, 6), (0, 11), (10, 17), (29, 28), (0, 12), (5, 26), (13, 27), (6, 0), (6, 5), (23, 35), (26, 25), (16, 29), (28, 23), (7, 23), (19, 32), (26, 0), (10, 1), (11, 17), (15, 24), (4, 0), (14, 21), (4, 4), (2, 4), (16, 2), (21, 12), (28, 9), (29, 23), (8, 8), (28, 5), (28, 34), (1, 7), (13, 28), (23, 7), (17, 1), (8, 20), (30, 32), (5, 28), (5, 12), (11, 25), (16, 18), (2, 22), (7, 5), (10, 10), (20, 15), (12, 11), (21, 2), (19, 15), (15, 33), (9, 18), (25, 6), (11, 29), (12, 14), (3, 8), (14, 0), (0, 22), (20, 27), (0, 21), (7, 15), (10, 4), (15, 7), (4, 29), (15, 31), (4, 31), (8, 17), (14, 17), (6, 26), (28, 29), (30, 14), (10, 12), (14, 29), (5, 29), (16, 34), (30, 19), (20, 31), (7, 1), (4, 22), (25, 28), (10, 9), (20, 20), (7, 19), (6, 17), (21, 23), (15, 5), (8, 19), (18, 21), (9, 32), (29, 3), (2, 12), (18, 14), (0, 16), (8, 14), (20, 33), (17, 15), (4, 8), (29, 29), (13, 11), (9, 12), (28, 16), (17, 17), (7, 0), (21, 6), (17, 18), (24, 34), (16, 17), (10, 30), (30, 27), (19, 17), (8, 35), (2, 6), (30, 24), (5, 5), (25, 8), (27, 30), (29, 17), (13, 31), (3, 14), (10, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 10), (26, 8), (28, 8), (19, 3), (18, 3), (21, 8), (7, 26), (9, 26), (30, 32), (32, 33), (37, 26), (23, 4), (7, 8), (8, 14), (15, 33), (38, 30), (16, 20), (33, 34), (15, 19), (37, 6), (37, 22), (2, 12), (22, 11), (15, 31), (3, 18), (10, 4), (2, 20), (2, 14), (12, 32), (17, 3), (2, 8), (20, 7), (14, 11), (34, 23), (36, 28), (25, 4), (38, 27), (25, 21), (33, 28), (26, 4), (15, 11), (23, 10), (36, 24), (18, 10), (15, 30), (10, 7), (2, 32), (25, 30), (9, 25), (4, 28), (38, 6), (18, 11), (5, 10), (6, 31), (8, 15), (29, 13), (7, 7), (38, 4), (9, 0), (12, 16), (16, 18), (29, 17), (16, 7), (36, 4), (2, 24), (15, 3), (19, 0), (9, 4), (22, 8), (19, 26), (4, 7), (22, 4), (35, 11), (0, 16), (5, 11), (25, 31), (13, 7), (22, 25), (1, 17), (31, 1), (38, 26), (8, 19), (9, 27), (11, 33), (22, 33), (7, 30), (11, 19), (14, 33), (16, 2), (27, 26), (9, 9), (4, 10), (24, 32), (10, 6), (2, 25), (33, 25), (32, 14), (4, 16), (1, 0), (34, 28), (31, 9), (9, 30), (27, 15), (28, 14), (0, 25), (16, 22), (32, 1), (13, 5), (34, 11), (37, 3), (31, 2), (1, 26), (26, 22), (34, 30), (27, 33), (7, 13), (5, 31), (20, 33), (13, 13), (18, 30), (32, 23), (33, 24), (34, 12), (3, 34), (30, 23), (23, 3), (18, 14), (2, 11), (33, 20), (5, 8), (18, 7), (6, 7), (8, 18), (16, 17), (9, 17), (18, 27), (23, 27), (8, 22), (35, 21), (32, 12), (36, 18), (38, 8), (27, 32), (9, 28), (32, 0), (23, 16), (38, 1), (11, 27), (31, 0), (15, 22), (18, 8), (26, 2), (38, 13), (4, 24), (15, 24), (38, 21), (30, 14), (1, 5), (27, 2), (22, 13), (7, 34), (13, 22), (1, 8), (32, 10), (8, 11), (26, 5), (13, 1), (14, 12), (8, 8), (34, 16), (20, 23), (0, 5), (31, 15), (10, 23), (7, 27), (28, 3), (36, 23), (12, 10), (14, 18), (16, 14), (10, 15), (6, 14), (15, 14), (20, 22), (9, 7), (27, 16), (25, 6), (3, 20), (14, 16), (8, 27), (0, 10), (13, 2), (38, 23), (17, 18), (6, 13), (24, 16), (21, 16), (11, 26), (26, 27), (31, 3), (34, 26), (17, 32), (25, 17), (7, 20), (7, 2), (28, 26), (29, 25), (34, 32), (37, 2), (10, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 28), (21, 24), (18, 18), (6, 16), (21, 21), (18, 16), (24, 7), (10, 24), (1, 23), (5, 3), (16, 8), (33, 29), (30, 32), (25, 11), (31, 4), (4, 25), (0, 26), (25, 7), (6, 12), (30, 8), (32, 18), (6, 20), (22, 16), (27, 6), (1, 11), (30, 13), (7, 25), (24, 0), (26, 23), (32, 4), (25, 4), (21, 23), (3, 5), (7, 10), (19, 25), (28, 31), (22, 27), (29, 31), (10, 32), (21, 2), (14, 11), (0, 19), (3, 18), (22, 24), (34, 9), (9, 31), (23, 3), (20, 7), (28, 27), (11, 32), (22, 7), (30, 7), (17, 18), (7, 23), (28, 14), (6, 11), (29, 4), (16, 27), (6, 3), (5, 17), (34, 17), (34, 28), (2, 11), (33, 22), (23, 33), (3, 32), (2, 0), (24, 11), (18, 1), (10, 14), (7, 32), (4, 14), (28, 10), (11, 14), (33, 4), (0, 14), (12, 18), (33, 30), (21, 5), (5, 33), (26, 20), (33, 3), (9, 22), (18, 14), (23, 29), (29, 29), (28, 9), (32, 13), (2, 15), (8, 14), (33, 6), (30, 3), (33, 16), (20, 21), (17, 29), (33, 11), (8, 27), (21, 20), (8, 10), (13, 8), (5, 5), (29, 16), (17, 8), (11, 29), (0, 2), (5, 28), (8, 7), (3, 25), (2, 23), (24, 31), (30, 5), (3, 33), (10, 19), (21, 14), (25, 2), (24, 18), (2, 6), (34, 20), (17, 27), (5, 9), (31, 1), (9, 8), (9, 32), (4, 16), (8, 3), (4, 20), (19, 26), (33, 19), (1, 28), (16, 32), (6, 10), (1, 25), (0, 29), (10, 15), (0, 7), (13, 18), (3, 19), (25, 19), (34, 19), (25, 31), (17, 17), (12, 22), (5, 26), (7, 12), (18, 29), (20, 16), (12, 2), (26, 29), (17, 32), (30, 24), (18, 8), (13, 20), (3, 6), (11, 1), (29, 15), (32, 21), (18, 22), (14, 0), (20, 8), (20, 9), (12, 4), (17, 7), (9, 19), (30, 19), (15, 15), (4, 31), (12, 0), (14, 14), (17, 4), (28, 17), (4, 24), (25, 27), (22, 3), (32, 26), (10, 4), (18, 28), (15, 18), (4, 29), (26, 27), (25, 0), (10, 30), (32, 23), (23, 13), (27, 1), (15, 29), (14, 27), (23, 5), (5, 31), (1, 33), (26, 17), (4, 4), (2, 31), (21, 8), (20, 18), (8, 28), (27, 3), (30, 23), (11, 4), (30, 9), (34, 22), (27, 27), (14, 12), (30, 4), (12, 25), (24, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 17), (19, 14), (38, 23), (24, 15), (32, 14), (5, 20), (4, 31), (22, 3), (0, 29), (25, 13), (5, 23), (1, 12), (5, 6), (19, 1), (38, 10), (6, 14), (26, 9), (24, 18), (8, 23), (2, 1), (22, 1), (25, 24), (8, 7), (17, 3), (31, 9), (24, 13), (34, 25), (21, 1), (28, 21), (3, 13), (5, 25), (12, 17), (14, 3), (13, 26), (11, 20), (29, 25), (11, 10), (38, 0), (3, 16), (17, 30), (17, 29), (28, 0), (2, 5), (33, 24), (21, 28), (4, 29), (35, 4), (14, 21), (20, 28), (12, 7), (22, 19), (10, 11), (23, 7), (30, 20), (4, 11), (4, 28), (14, 11), (32, 24), (9, 19), (13, 17), (3, 31), (31, 23), (25, 18), (14, 22), (10, 19), (3, 26), (1, 3), (10, 17), (20, 31), (33, 2), (2, 4), (8, 21), (7, 23), (30, 24), (21, 14), (3, 20), (12, 12), (7, 18), (16, 18), (28, 16), (10, 7), (37, 16), (28, 13), (27, 6), (9, 10), (7, 25), (16, 9), (9, 14), (9, 3), (26, 28), (15, 19), (8, 17), (23, 0), (1, 16), (26, 13), (9, 26), (34, 23), (3, 11), (3, 27), (14, 1), (21, 7), (28, 23), (0, 24), (12, 15), (3, 14), (16, 30), (30, 2), (22, 20), (37, 31), (1, 14), (0, 16), (13, 18), (21, 25), (22, 13), (13, 3), (9, 12), (34, 21), (11, 8), (35, 22), (21, 10), (4, 7), (26, 12), (23, 22), (8, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 34x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 24), (1, 14), (14, 0), (23, 23), (15, 33), (14, 16), (15, 32), (33, 31), (7, 26), (17, 23), (32, 24), (4, 26), (26, 38), (19, 29), (29, 14), (16, 32), (5, 18), (18, 34), (2, 26), (31, 29), (23, 12), (6, 14), (8, 25), (14, 32), (18, 13), (30, 25), (4, 35), (19, 26), (32, 36), (5, 30), (27, 27), (22, 29), (16, 11), (6, 12), (31, 31), (32, 14), (0, 3), (29, 15), (2, 15), (17, 5), (5, 1), (13, 6), (28, 11), (14, 25), (11, 5), (13, 26), (9, 32), (21, 19), (4, 25), (9, 28), (9, 25), (26, 2), (24, 31), (26, 3), (1, 21), (20, 8), (2, 33), (26, 8), (6, 25), (30, 18), (17, 4), (13, 12), (7, 5), (15, 38), (32, 6), (23, 13), (11, 20), (16, 20), (22, 24), (23, 27), (24, 5), (6, 16), (21, 2), (33, 22), (15, 25), (2, 27), (18, 14), (26, 35), (0, 22), (31, 6), (27, 7), (1, 29), (5, 22), (29, 21), (27, 16), (1, 19), (0, 26), (33, 9), (28, 0), (31, 16), (8, 2), (1, 37), (19, 33), (4, 37), (21, 12), (33, 12), (3, 29), (2, 28), (3, 1), (3, 7), (10, 13), (33, 18), (15, 19), (12, 11), (5, 15), (15, 22), (4, 14), (10, 16), (3, 28), (18, 25), (6, 22), (19, 22), (10, 25), (28, 19), (9, 10), (22, 11), (29, 28), (30, 8), (6, 8), (30, 15), (14, 36), (12, 24), (27, 3), (24, 35), (28, 35), (26, 14), (10, 5), (15, 1), (16, 25), (14, 13), (5, 9), (11, 28), (28, 1), (6, 26), (14, 30), (30, 11), (5, 20), (18, 32), (24, 36), (1, 6), (12, 18), (7, 38), (18, 26), (2, 5), (23, 14), (33, 0), (24, 1), (33, 17), (6, 20), (1, 32), (25, 21), (16, 21), (32, 27), (30, 17), (2, 2), (17, 36), (7, 11), (19, 19), (21, 10), (31, 26), (4, 6), (1, 28), (8, 27), (27, 31), (15, 29), (15, 2), (24, 0), (32, 17), (12, 22), (3, 30), (33, 25), (21, 31), (5, 13), (21, 17), (16, 18), (28, 34), (23, 16), (10, 30), (7, 16), (10, 38), (14, 22), (12, 15), (12, 3), (27, 23), (9, 30), (0, 15), (17, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 27), (10, 22), (17, 12), (32, 22), (29, 10), (2, 17), (19, 5), (0, 25), (28, 7), (6, 1), (5, 29), (27, 6), (6, 23), (14, 3), (17, 4), (5, 17), (24, 22), (27, 9), (7, 23), (18, 1), (8, 29), (20, 11), (5, 31), (21, 16), (14, 17), (35, 6), (10, 4), (35, 17), (4, 3), (33, 11), (34, 16), (21, 8), (17, 2), (32, 32), (35, 3), (6, 13), (8, 12), (27, 16), (11, 11), (27, 11), (25, 13), (17, 1), (9, 11), (8, 25), (8, 32), (1, 6), (28, 12), (25, 16), (4, 6), (1, 25), (27, 23), (28, 21), (35, 11), (12, 11), (21, 20), (23, 13), (26, 5), (20, 16), (15, 3), (12, 18), (10, 9), (11, 28), (2, 32), (31, 3), (28, 18), (33, 9), (23, 1), (4, 21), (22, 10), (12, 16), (20, 21), (27, 17), (19, 31), (13, 18), (3, 31), (4, 11), (4, 20), (13, 11), (21, 21), (28, 3), (18, 19), (17, 32), (13, 8), (21, 32), (16, 27), (34, 18), (17, 17), (20, 4), (34, 7), (28, 32), (9, 7), (7, 18), (26, 11), (12, 17), (33, 23), (17, 23), (3, 17), (29, 20), (27, 15), (3, 25), (8, 31), (14, 30), (11, 16), (14, 6), (31, 22), (0, 17), (28, 24), (31, 9), (8, 13), (20, 0), (15, 19), (28, 15), (29, 29), (30, 3), (2, 15), (2, 4), (2, 2), (20, 6), (9, 6), (25, 7), (24, 8), (7, 15), (35, 9), (4, 27), (32, 18), (0, 14), (1, 21), (5, 32), (30, 5), (16, 2), (34, 5), (15, 29), (12, 10), (24, 19), (22, 20), (10, 29), (14, 19), (16, 7), (9, 28), (9, 19), (10, 21), (0, 20), (21, 9), (35, 8), (10, 25), (16, 6), (31, 8), (6, 4), (15, 9), (11, 20), (22, 27), (15, 12), (34, 22), (4, 2), (32, 9), (7, 22), (0, 16), (21, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 35x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 19), (15, 31), (33, 19), (22, 2), (24, 30), (30, 35), (4, 30), (5, 31), (31, 34), (10, 34), (3, 27), (24, 11), (33, 27), (7, 10), (1, 6), (21, 2), (8, 32), (4, 10), (25, 13), (21, 16), (23, 4), (12, 23), (26, 38), (2, 18), (26, 31), (16, 29), (21, 35), (16, 3), (16, 32), (24, 17), (23, 9), (30, 30), (29, 18), (30, 3), (34, 33), (9, 37), (3, 14), (14, 1), (2, 2), (11, 6), (30, 1), (16, 1), (30, 34), (29, 20), (17, 30), (18, 30), (27, 38), (21, 37), (24, 13), (1, 27), (4, 27), (13, 3), (5, 1), (20, 16), (21, 26), (33, 17), (8, 28), (31, 7), (14, 27), (4, 18), (25, 22), (7, 37), (13, 28), (30, 2), (24, 32), (30, 37), (16, 0), (29, 5), (28, 21), (14, 5), (2, 0), (12, 30), (7, 32), (14, 13), (28, 31), (22, 10), (19, 31), (1, 1), (31, 12), (4, 38), (22, 5), (7, 12), (11, 19), (3, 24), (34, 23), (22, 29), (9, 24), (31, 6), (24, 4), (33, 10), (17, 0), (29, 4), (19, 8), (26, 27), (11, 14), (27, 20), (6, 12), (22, 38), (21, 24), (19, 11), (30, 31), (3, 29), (2, 9), (30, 26), (24, 27), (10, 5), (15, 18), (29, 2), (23, 38), (3, 3), (7, 4), (8, 38), (16, 30), (27, 17), (19, 0), (18, 7), (4, 32), (28, 20), (29, 8), (25, 30), (25, 18), (0, 14), (9, 20), (22, 8), (8, 21), (17, 7), (13, 12), (15, 35), (21, 33), (32, 3), (20, 26), (9, 33), (24, 7), (6, 28), (11, 21), (25, 3), (7, 17), (2, 8), (23, 23), (2, 7), (26, 28), (21, 30), (5, 23), (12, 4), (28, 16), (0, 8), (25, 23), (21, 21), (1, 13), (14, 29), (19, 20), (31, 30), (30, 32), (26, 6), (11, 9), (13, 33), (3, 15), (29, 19), (16, 21), (0, 26), (25, 8), (25, 27), (20, 14), (32, 6), (33, 36), (15, 2), (19, 25), (6, 5), (9, 19), (0, 12), (29, 35), (33, 21), (32, 10), (7, 1), (26, 21), (4, 8), (14, 26), (0, 21), (9, 12), (9, 27), (28, 35), (24, 1), (32, 33), (2, 22), (11, 2), (8, 5), (5, 27), (7, 34), (20, 13), (12, 19), (9, 25), (33, 33), (16, 27), (28, 18), (6, 36), (34, 16), (9, 29), (21, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 15), (23, 22), (7, 11), (11, 13), (16, 11), (9, 35), (28, 8), (16, 2), (19, 22), (3, 6), (8, 21), (1, 20), (2, 6), (21, 23), (19, 10), (11, 24), (0, 25), (34, 13), (17, 9), (25, 18), (28, 3), (28, 27), (10, 36), (9, 29), (4, 11), (11, 35), (16, 34), (23, 23), (32, 16), (2, 18), (1, 19), (15, 15), (14, 25), (26, 33), (24, 2), (2, 36), (29, 34), (26, 0), (0, 29), (16, 32), (31, 14), (14, 21), (4, 17), (3, 16), (4, 30), (29, 1), (30, 35), (26, 21), (23, 26), (11, 33), (16, 36), (7, 9), (11, 20), (28, 13), (5, 9), (17, 24), (7, 4), (24, 20), (5, 21), (10, 23), (10, 34), (2, 24), (24, 7), (13, 27), (20, 13), (33, 26), (10, 29), (30, 15), (3, 9), (23, 28), (16, 3), (25, 2), (34, 31), (12, 3), (2, 34), (20, 0), (19, 2), (30, 3), (24, 24), (10, 28), (18, 36), (31, 20), (13, 12), (7, 34), (11, 18), (18, 7), (34, 33), (1, 12), (2, 1), (8, 13), (24, 35), (32, 22), (24, 17), (27, 27), (4, 19), (13, 36), (9, 17), (22, 12), (14, 9), (22, 1), (32, 33), (3, 13), (9, 18), (16, 5), (32, 10), (4, 36), (19, 17), (9, 19), (16, 7), (13, 29), (28, 31), (29, 7), (5, 30), (11, 11), (17, 15), (30, 22), (4, 2), (3, 22), (32, 14), (6, 36), (20, 23), (7, 32), (17, 2), (27, 3), (20, 16), (4, 12), (4, 5), (0, 17), (5, 32), (27, 16), (26, 34), (28, 34), (22, 27), (0, 11), (2, 27), (5, 25), (30, 4), (31, 10), (21, 5), (17, 0), (23, 29), (2, 15), (9, 25), (1, 13), (34, 27), (17, 34), (8, 1), (2, 22), (8, 27), (29, 2), (15, 9), (8, 8), (8, 20), (17, 25), (7, 25), (33, 17), (32, 34), (13, 5), (27, 11), (3, 24), (22, 18), (21, 36), (25, 29), (25, 10), (1, 1), (1, 29), (5, 1), (10, 30), (16, 0), (6, 15), (13, 1), (16, 4), (24, 9), (0, 20), (6, 2), (1, 5), (16, 23), (7, 30), (0, 26), (4, 32), (6, 3), (5, 29), (12, 2), (7, 21), (0, 9), (0, 21), (3, 21), (10, 1), (12, 28), (22, 6), (23, 15), (22, 14), (33, 22), (28, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 34), (3, 16), (28, 0), (7, 17), (27, 30), (26, 4), (15, 9), (9, 22), (35, 26), (11, 19), (8, 8), (33, 14), (13, 10), (26, 22), (33, 32), (20, 1), (21, 1), (29, 6), (15, 5), (14, 12), (35, 4), (31, 25), (16, 1), (2, 6), (5, 15), (29, 22), (6, 28), (29, 29), (22, 3), (31, 20), (16, 9), (10, 6), (8, 20), (11, 28), (5, 3), (14, 34), (2, 5), (27, 13), (34, 9), (15, 29), (34, 20), (4, 6), (23, 19), (17, 3), (12, 18), (9, 31), (36, 20), (18, 14), (9, 16), (9, 17), (17, 19), (21, 24), (11, 29), (1, 16), (31, 33), (9, 11), (28, 22), (13, 29), (21, 15), (22, 27), (8, 7), (31, 24), (1, 3), (3, 7), (15, 18), (27, 20), (28, 32), (20, 31), (3, 8), (23, 12), (15, 32), (28, 14), (18, 17), (38, 16), (34, 24), (17, 9), (13, 16), (14, 21), (33, 2), (5, 25), (19, 18), (7, 19), (26, 33), (17, 27), (31, 18), (21, 28), (17, 11), (27, 1), (33, 26), (24, 20), (30, 28), (8, 9), (38, 19), (2, 9), (31, 14), (5, 33), (24, 24), (2, 22), (35, 28), (27, 5), (23, 29), (20, 24), (8, 23), (11, 17), (11, 4), (27, 14), (18, 11), (0, 21), (35, 27), (24, 8), (34, 30), (23, 32), (32, 26), (7, 30), (33, 19), (18, 13), (13, 15), (5, 32), (15, 22), (20, 33), (10, 21), (8, 12), (14, 10), (23, 17), (5, 8), (37, 28), (19, 32), (24, 17), (8, 29), (20, 4), (5, 4), (26, 14), (22, 19), (8, 10), (7, 9), (15, 26), (33, 9), (19, 20), (37, 4), (4, 33), (34, 21), (16, 28), (27, 25), (7, 24), (23, 22), (31, 16), (3, 1), (31, 0), (15, 4), (14, 1), (1, 14), (23, 16), (24, 32), (14, 31), (31, 13), (6, 22), (34, 32), (26, 17), (5, 9), (17, 8), (11, 21), (32, 28), (8, 24), (7, 4), (19, 8), (32, 5), (28, 10), (22, 9), (0, 11), (26, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 25), (12, 0), (30, 2), (8, 10), (4, 15), (19, 30), (19, 23), (15, 2), (7, 1), (18, 1), (0, 9), (24, 13), (0, 26), (12, 20), (10, 21), (6, 0), (24, 20), (6, 30), (9, 12), (23, 16), (17, 14), (10, 26), (11, 20), (11, 18), (29, 4), (2, 1), (0, 27), (17, 27), (9, 29), (18, 13), (28, 29), (1, 26), (15, 13), (16, 26), (1, 13), (7, 3), (7, 10), (19, 9), (29, 20), (8, 0), (26, 3), (3, 7), (12, 22), (26, 15), (30, 16), (16, 3), (2, 18), (24, 21), (11, 7), (25, 4), (14, 26), (3, 3), (29, 27), (19, 14), (27, 1), (30, 9), (13, 7), (3, 17), (27, 26), (23, 21), (8, 7), (13, 31), (2, 28), (14, 4), (8, 17), (3, 1), (9, 9), (16, 17), (18, 25), (4, 26), (3, 15), (24, 19), (13, 12), (25, 23), (23, 23), (26, 11), (20, 22), (17, 25), (16, 2), (25, 21), (28, 12), (18, 0), (26, 27), (5, 27), (2, 0), (27, 29), (7, 2), (15, 1), (23, 2), (8, 18), (20, 14), (10, 16), (0, 21), (20, 12), (24, 4), (28, 19), (8, 30), (2, 25), (1, 23), (27, 13), (25, 27), (24, 26), (23, 15), (3, 5), (25, 31), (24, 22), (15, 25), (10, 2), (15, 26), (9, 19), (8, 26), (12, 7), (4, 20), (24, 9), (6, 10), (10, 10), (16, 30), (4, 3), (8, 11), (14, 21), (11, 11), (5, 29), (19, 10), (28, 2), (9, 6), (23, 24), (11, 1), (13, 8), (30, 15), (22, 3), (14, 5), (2, 9), (26, 17), (26, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 18), (15, 21), (2, 11), (5, 6), (31, 29), (19, 12), (28, 5), (10, 13), (22, 3), (20, 33), (21, 18), (9, 7), (29, 16), (2, 23), (17, 33), (15, 13), (32, 26), (17, 9), (25, 30), (28, 23), (20, 17), (28, 36), (26, 33), (9, 19), (28, 21), (27, 4), (14, 32), (7, 16), (13, 1), (26, 36), (24, 13), (14, 36), (6, 1), (16, 30), (10, 7), (20, 18), (9, 23), (13, 0), (16, 24), (25, 23), (3, 4), (3, 5), (16, 10), (7, 30), (5, 19), (2, 12), (24, 33), (2, 6), (17, 4), (26, 35), (24, 27), (21, 12), (2, 5), (3, 9), (9, 3), (27, 16), (14, 9), (31, 10), (5, 4), (6, 7), (28, 6), (19, 33), (5, 30), (15, 18), (4, 35), (3, 35), (27, 19), (19, 28), (15, 36), (1, 5), (4, 0), (11, 20), (29, 9), (5, 29), (6, 19), (5, 32), (32, 20), (0, 30), (24, 25), (7, 27), (0, 7), (15, 27), (3, 3), (9, 10), (15, 24), (19, 31), (31, 14), (19, 23), (28, 28), (11, 18), (1, 26), (3, 22), (5, 3), (1, 20), (19, 13), (15, 2), (29, 28), (11, 14), (11, 33), (18, 28), (32, 8), (26, 23), (16, 21), (9, 16), (23, 5), (30, 33), (21, 7), (3, 29), (9, 34), (27, 32), (32, 24), (8, 14), (32, 32), (4, 7), (29, 10), (3, 14), (17, 24), (20, 4), (17, 14), (24, 18), (9, 1), (0, 2), (26, 2), (31, 7), (26, 30), (0, 14), (19, 16), (5, 26), (10, 27), (21, 4), (16, 23), (18, 17), (16, 35), (19, 8), (32, 21), (1, 2), (13, 22), (19, 36), (30, 14), (2, 31), (21, 32), (31, 33), (12, 16), (12, 2), (10, 23), (6, 11), (24, 35), (6, 32), (6, 35), (2, 1), (24, 16), (20, 23), (29, 0), (4, 31), (27, 36), (9, 18), (28, 10), (15, 0), (3, 7), (26, 5), (7, 3), (22, 35), (22, 25), (28, 26), (14, 11), (26, 27), (2, 15), (17, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 27), (6, 23), (11, 3), (11, 15), (13, 29), (10, 28), (27, 2), (21, 27), (26, 8), (17, 3), (27, 23), (15, 25), (4, 8), (27, 29), (22, 4), (23, 2), (18, 17), (6, 2), (30, 15), (9, 8), (1, 27), (8, 13), (1, 18), (4, 26), (3, 0), (23, 20), (24, 33), (21, 8), (23, 28), (3, 19), (31, 14), (10, 6), (10, 33), (13, 18), (12, 3), (16, 26), (18, 10), (3, 11), (10, 2), (11, 30), (22, 24), (21, 17), (11, 19), (5, 16), (0, 4), (23, 4), (3, 9), (30, 20), (2, 31), (14, 31), (12, 19), (25, 28), (16, 21), (7, 19), (14, 5), (28, 6), (14, 17), (24, 26), (30, 29), (27, 25), (17, 14), (5, 24), (20, 4), (21, 25), (8, 10), (5, 7), (13, 4), (3, 27), (21, 0), (15, 18), (21, 5), (28, 19), (21, 1), (25, 34), (22, 9), (9, 26), (30, 33), (1, 30), (19, 23), (14, 27), (0, 32), (27, 32), (6, 0), (7, 21), (16, 19), (5, 29), (14, 9), (23, 5), (9, 29), (4, 21), (25, 17), (11, 5), (30, 32), (26, 12), (22, 28), (18, 4), (17, 22), (8, 5), (7, 17), (26, 16), (9, 34), (23, 6), (14, 21), (5, 14), (17, 27), (26, 19), (16, 32), (28, 20), (1, 16), (25, 9), (26, 31), (12, 28), (30, 17), (30, 16), (28, 25), (7, 0), (1, 31), (5, 30), (12, 1), (8, 8), (19, 11), (21, 23), (11, 11), (12, 18), (14, 24), (0, 13), (18, 13), (16, 1), (27, 9), (24, 23), (19, 6), (25, 21), (5, 27), (5, 15), (14, 19), (3, 26), (2, 32), (11, 24), (9, 2), (3, 24), (9, 23), (10, 16), (23, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 34x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (26, 10), (12, 29), (14, 5), (14, 17), (17, 24), (26, 6), (3, 4), (10, 3), (26, 13), (25, 0), (8, 28), (29, 0), (12, 8), (5, 26), (30, 14), (24, 14), (17, 10), (28, 25), (17, 16), (22, 10), (10, 28), (25, 3), (29, 30), (18, 16), (12, 15), (2, 14), (15, 23), (4, 24), (8, 8), (11, 22), (21, 21), (14, 25), (14, 15), (20, 2), (12, 26), (25, 7), (6, 5), (31, 30), (16, 10), (21, 9), (15, 20), (11, 8), (17, 21), (12, 1), (8, 19), (10, 29), (30, 11), (17, 17), (6, 7), (32, 14), (13, 29), (27, 1), (24, 11), (3, 7), (4, 17), (25, 25), (1, 28), (20, 29), (6, 8), (6, 30), (2, 4), (18, 15), (19, 16), (24, 23), (4, 19), (7, 15), (22, 14), (10, 22), (21, 20), (10, 8), (26, 4), (4, 15), (20, 9), (14, 13), (29, 26), (16, 9), (27, 12), (11, 6), (15, 8), (4, 16), (31, 27), (7, 4), (1, 15), (24, 27), (18, 13), (17, 9), (3, 23), (3, 15), (29, 13), (1, 0), (18, 27), (1, 3), (9, 30), (28, 27), (17, 2), (7, 29), (5, 5), (8, 0), (33, 4), (16, 30), (24, 17), (3, 0), (11, 15), (14, 24), (15, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "In a 38x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 15), (36, 25), (30, 7), (19, 7), (29, 6), (6, 35), (15, 0), (28, 31), (31, 6), (36, 7), (22, 5), (25, 33), (35, 1), (7, 37), (26, 35), (24, 35), (23, 18), (27, 16), (5, 7), (5, 16), (5, 3), (19, 12), (34, 16), (20, 20), (16, 25), (26, 26), (32, 21), (25, 7), (14, 27), (34, 2), (19, 29), (3, 23), (30, 0), (15, 7), (20, 13), (31, 34), (13, 5), (12, 32), (28, 26), (9, 10), (13, 10), (29, 15), (29, 24), (17, 32), (3, 2), (22, 1), (0, 5), (15, 14), (32, 24), (6, 24), (24, 10), (28, 19), (33, 0), (11, 3), (17, 24), (18, 34), (30, 9), (35, 7), (8, 7), (17, 16), (6, 14), (27, 6), (5, 18), (37, 20), (0, 16), (6, 12), (8, 4), (2, 16), (22, 16), (9, 4), (14, 24), (28, 13), (12, 15), (10, 27), (28, 7), (13, 34), (1, 7), (26, 8), (27, 34), (14, 8), (20, 15), (18, 32), (19, 21), (9, 33), (31, 17), (37, 5), (6, 10), (3, 16), (35, 2), (7, 9), (37, 35), (13, 20), (19, 34), (15, 21), (15, 34), (35, 25), (26, 1), (22, 22), (12, 31), (14, 23), (4, 12), (33, 3), (32, 25), (23, 22), (29, 14), (26, 29), (18, 36), (37, 19), (34, 31), (25, 21), (37, 8), (33, 28), (17, 13), (37, 34), (28, 29), (4, 33), (33, 15), (3, 27), (14, 3), (18, 4), (0, 32), (34, 4), (7, 3), (8, 24), (20, 21), (22, 29), (10, 14), (22, 4), (36, 13), (35, 20), (33, 17), (4, 9), (7, 1), (34, 25), (15, 26), (31, 21), (25, 12), (2, 33), (12, 19), (25, 8), (20, 16), (21, 20), (5, 6), (17, 22), (6, 32), (18, 6), (28, 2), (27, 9), (10, 36), (17, 10), (9, 6), (27, 12), (32, 11), (27, 19), (16, 16), (14, 18), (36, 28), (1, 8), (27, 8), (12, 34), (10, 0), (30, 30), (9, 15), (22, 2), (10, 1), (13, 0), (16, 20), (1, 30), (7, 32), (26, 16), (35, 19), (34, 24), (32, 35), (25, 1), (8, 29), (22, 3), (17, 14), (10, 23), (1, 20), (25, 24), (25, 30), (11, 0), (4, 3), (22, 26), (23, 14), (3, 12), (30, 35), (20, 30), (35, 15), (6, 27), (19, 32), (10, 16), (18, 28), (34, 10), (24, 21), (19, 23), (10, 4), (8, 5), (29, 21), (5, 28), (13, 3), (28, 24), (19, 36), (30, 13), (4, 6), (12, 2), (17, 9), (23, 1), (26, 18), (7, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 27), (5, 2), (1, 0), (26, 22), (7, 10), (14, 29), (14, 7), (9, 14), (16, 9), (0, 28), (5, 5), (10, 9), (24, 0), (2, 23), (19, 20), (18, 28), (9, 1), (6, 15), (11, 6), (8, 6), (27, 18), (21, 0), (21, 4), (3, 19), (3, 24), (16, 25), (13, 18), (4, 26), (3, 3), (6, 2), (30, 1), (7, 24), (18, 7), (11, 28), (6, 23), (22, 21), (10, 4), (25, 20), (11, 21), (6, 5), (12, 28), (22, 3), (20, 14), (12, 4), (5, 28), (19, 6), (26, 23), (20, 15), (13, 25), (20, 21), (5, 11), (6, 27), (8, 7), (18, 27), (28, 12), (11, 29), (10, 17), (27, 9), (2, 8), (16, 7), (27, 3), (22, 23), (7, 13), (23, 11), (3, 6), (21, 12), (16, 24), (21, 17), (26, 30), (24, 5), (29, 27), (24, 29), (10, 5), (22, 16), (16, 6), (24, 2), (25, 17), (22, 10), (25, 23), (18, 9), (1, 20), (7, 2), (1, 3), (1, 13), (10, 10), (11, 7), (26, 16), (0, 11), (6, 30), (7, 28), (5, 26), (2, 12), (11, 3), (30, 17), (7, 20), (19, 22), (17, 15), (6, 1), (14, 19), (3, 2), (27, 1), (25, 14), (18, 26), (7, 16), (11, 4), (21, 27), (13, 11), (10, 1), (4, 15), (21, 11), (19, 23), (24, 18), (10, 25), (25, 11), (23, 14), (5, 6), (26, 15), (4, 5), (9, 28), (28, 23), (19, 26), (13, 16)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 38x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 30), (14, 22), (10, 9), (12, 26), (18, 29), (26, 11), (18, 26), (23, 0), (24, 24), (15, 5), (16, 1), (12, 3), (24, 2), (16, 6), (32, 0), (27, 11), (25, 24), (21, 3), (31, 15), (0, 14), (30, 10), (29, 5), (8, 28), (17, 19), (20, 16), (19, 6), (20, 17), (27, 18), (33, 4), (10, 24), (6, 3), (22, 22), (21, 34), (27, 16), (4, 2), (1, 35), (29, 13), (11, 18), (16, 10), (3, 18), (35, 24), (18, 5), (36, 33), (4, 35), (13, 14), (4, 14), (10, 6), (30, 17), (16, 23), (8, 26), (13, 12), (31, 5), (22, 11), (31, 12), (35, 26), (14, 13), (10, 35), (37, 21), (18, 28), (11, 17), (19, 8), (23, 36), (24, 30), (33, 19), (33, 10), (16, 22), (22, 32), (25, 35), (4, 18), (3, 2), (37, 26), (11, 14), (20, 11), (6, 12), (29, 9), (13, 21), (20, 15), (21, 36), (26, 28), (19, 24), (20, 36), (29, 3), (27, 22), (10, 2), (11, 22), (36, 32), (25, 9), (32, 17), (25, 22), (10, 11), (9, 9), (9, 14), (19, 26), (5, 36), (5, 11), (7, 29), (31, 24), (17, 28), (34, 13), (19, 10), (24, 22), (37, 23), (28, 26), (20, 4), (35, 30), (36, 27), (20, 20), (3, 20), (24, 33), (5, 34), (11, 15), (9, 2), (0, 26), (17, 30), (37, 25), (12, 4), (28, 27), (10, 15), (10, 32), (32, 28), (36, 2), (34, 26), (17, 13), (4, 32), (2, 15), (26, 3), (37, 35), (35, 10), (16, 7), (32, 31), (25, 32), (13, 27), (35, 5), (26, 2), (14, 17), (1, 6), (5, 24), (9, 10), (37, 4), (24, 9), (14, 5), (5, 4), (35, 4), (11, 7), (34, 24), (35, 18), (12, 22), (35, 11), (4, 9), (25, 0), (23, 29), (33, 17), (17, 9), (12, 35), (9, 19), (5, 29), (3, 9), (12, 34), (3, 7), (23, 16), (22, 7), (33, 9), (33, 8), (17, 12), (4, 31), (26, 12), (17, 3), (15, 14), (3, 31), (1, 3), (3, 23), (17, 2), (0, 23), (6, 6), (7, 22), (5, 28), (25, 2), (9, 22), (14, 15), (23, 20), (9, 16), (6, 24), (29, 15), (3, 3), (21, 7), (24, 18), (35, 9), (33, 23), (6, 22), (8, 24), (18, 4), (6, 20), (12, 13), (30, 22), (1, 19), (6, 10), (3, 8), (24, 29), (20, 23), (20, 25), (10, 27), (24, 28), (28, 23), (19, 13), (37, 10), (23, 21), (35, 23), (8, 5), (30, 0), (2, 17), (29, 29), (23, 15), (14, 27), (15, 1), (4, 26), (36, 1), (29, 1), (6, 2), (8, 12), (32, 27), (14, 26), (28, 34), (26, 25), (4, 0), (29, 22), (5, 5), (8, 9), (11, 24), (31, 0), (11, 33), (18, 8), (7, 23), (28, 16), (2, 36), (32, 33), (15, 16), (34, 32), (29, 25), (2, 14), (31, 32), (3, 33), (31, 28), (13, 11), (14, 2), (25, 3), (20, 6), (17, 29), (20, 1), (31, 10), (10, 7), (26, 17), (18, 11), (28, 11)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 35x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (34, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 9), (19, 9), (2, 12), (23, 10), (13, 1), (4, 13), (30, 3), (1, 29), (34, 17), (27, 10), (1, 11), (17, 11), (7, 3), (32, 17), (33, 6), (0, 3), (24, 6), (32, 10), (24, 23), (6, 12), (19, 0), (12, 26), (14, 27), (1, 5), (18, 16), (2, 4), (27, 26), (26, 15), (27, 8), (26, 10), (19, 15), (7, 13), (21, 16), (27, 1), (14, 15), (25, 8), (0, 5), (25, 27), (34, 0), (17, 14), (25, 3), (29, 4), (0, 11), (9, 14), (7, 19), (4, 1), (9, 13), (5, 3), (28, 24), (20, 14), (11, 15), (6, 13), (19, 16), (18, 26), (13, 18), (17, 10), (11, 12), (31, 10), (29, 16), (27, 6), (8, 24), (0, 23), (16, 6), (25, 14), (24, 15), (28, 21), (28, 27), (11, 19), (23, 14), (11, 22), (1, 1), (17, 29), (6, 1), (17, 0), (29, 7), (33, 27), (23, 4), (26, 19), (32, 16), (11, 11), (14, 10), (18, 17), (31, 4), (19, 17), (7, 12), (26, 22), (13, 23), (1, 23), (24, 9), (22, 0), (28, 29), (21, 7), (22, 11), (5, 16), (7, 0), (18, 4), (0, 20), (31, 12), (30, 18), (27, 2), (30, 4), (34, 11), (30, 1), (12, 17), (14, 0), (4, 26), (28, 9), (22, 13), (1, 7), (1, 0), (26, 26), (12, 27), (24, 12), (2, 5), (6, 18), (28, 22), (4, 15), (29, 17), (17, 13), (4, 5), (2, 26), (34, 25), (2, 3), (22, 19), (8, 25), (12, 18), (7, 8), (12, 19), (4, 0), (2, 25), (20, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (22, 3), (18, 15), (6, 17), (12, 32), (27, 17), (1, 3), (13, 18), (6, 10), (18, 1), (14, 11), (19, 22), (13, 1), (3, 10), (25, 26), (26, 23), (16, 19), (17, 9), (27, 30), (7, 5), (0, 7), (19, 24), (5, 7), (1, 28), (26, 25), (7, 21), (23, 4), (25, 8), (4, 15), (18, 9), (19, 25), (22, 17), (16, 32), (3, 13), (19, 2), (17, 0), (29, 14), (15, 23), (12, 22), (3, 7), (9, 24), (17, 5), (28, 15), (10, 30), (27, 25), (23, 21), (7, 4), (0, 16), (22, 8), (15, 17), (2, 4), (5, 29), (5, 19), (20, 21), (22, 28), (23, 11), (20, 5), (21, 30), (15, 29), (0, 5), (24, 7), (22, 7), (24, 31), (27, 22), (14, 18), (28, 22), (19, 31), (0, 24), (6, 31), (29, 11), (27, 9), (11, 2), (20, 6), (17, 7), (14, 19), (20, 0), (8, 16), (27, 21), (8, 18), (11, 18), (11, 6), (14, 2), (2, 12), (11, 30), (7, 7), (28, 23), (16, 1), (17, 8), (29, 19), (10, 18), (17, 3), (5, 24), (24, 0), (2, 3), (21, 18), (21, 16), (23, 5), (19, 13), (2, 19), (28, 17), (27, 4), (13, 25), (18, 31), (27, 18), (25, 17), (28, 2), (13, 26), (19, 1), (24, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 34x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 32), (18, 18), (31, 33), (12, 3), (25, 20), (28, 1), (8, 29), (20, 8), (12, 7), (10, 14), (17, 34), (15, 27), (23, 17), (24, 22), (23, 30), (26, 8), (16, 12), (17, 10), (14, 30), (32, 34), (26, 25), (23, 15), (14, 7), (22, 1), (6, 10), (13, 34), (4, 33), (19, 30), (20, 30), (31, 3), (20, 25), (1, 12), (10, 4), (32, 8), (2, 33), (15, 16), (4, 17), (5, 25), (26, 0), (19, 4), (23, 14), (17, 21), (27, 5), (5, 26), (2, 0), (8, 15), (29, 14), (30, 27), (33, 25), (4, 7), (28, 13), (4, 10), (10, 26), (31, 2), (7, 33), (9, 10), (21, 10), (10, 19), (9, 17), (20, 13), (11, 32), (28, 14), (15, 22), (12, 23), (28, 31), (17, 30), (20, 22), (2, 15), (31, 11), (31, 14), (11, 17), (22, 24), (27, 22), (23, 32), (19, 11), (18, 2), (1, 13), (20, 11), (21, 35), (22, 4), (20, 34), (13, 19), (32, 14), (33, 2), (16, 5), (32, 20), (8, 17), (7, 27), (11, 25), (33, 19), (13, 21), (32, 23), (4, 28), (23, 7), (15, 30), (30, 8), (3, 15), (24, 35), (30, 28), (6, 11), (24, 16), (20, 2), (7, 10), (8, 7), (29, 10), (12, 0), (5, 16), (32, 10), (9, 35), (22, 29), (11, 33), (32, 17), (31, 29), (13, 32), (27, 23), (10, 25), (33, 1), (8, 24), (11, 18), (14, 13), (30, 33), (19, 6), (31, 27), (19, 16), (2, 20), (23, 2), (22, 3), (21, 34), (22, 13), (32, 33), (8, 25), (11, 15), (32, 18), (16, 11), (13, 28), (7, 13), (0, 22), (30, 11), (13, 4), (27, 25), (10, 30), (9, 23), (5, 12), (17, 27), (10, 6), (9, 16), (22, 16), (20, 27), (30, 0), (1, 4), (24, 4), (22, 30), (28, 23), (27, 1), (25, 6), (5, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (18, 6), (12, 22), (0, 12), (35, 25), (29, 8), (5, 11), (9, 6), (12, 4), (0, 6), (1, 12), (24, 25), (12, 8), (4, 26), (5, 15), (34, 0), (2, 18), (25, 21), (23, 23), (24, 15), (14, 6), (28, 11), (19, 13), (0, 27), (29, 10), (5, 20), (27, 9), (1, 19), (9, 17), (0, 17), (21, 25), (17, 25), (22, 15), (27, 1), (28, 4), (21, 10), (0, 19), (26, 5), (26, 3), (10, 19), (8, 12), (6, 21), (17, 3), (20, 18), (9, 23), (0, 16), (28, 23), (27, 13), (11, 28), (24, 7), (20, 26), (23, 24), (18, 22), (11, 0), (19, 26), (4, 14), (20, 1), (34, 21), (5, 13), (0, 23), (25, 5), (21, 1), (0, 26), (15, 11), (20, 29), (13, 0), (23, 11), (22, 1), (31, 19), (16, 23), (14, 20), (26, 17), (23, 28), (35, 14), (28, 15), (34, 22), (18, 16), (27, 17), (9, 24), (19, 3), (8, 15), (24, 9), (10, 16), (1, 4), (6, 26), (18, 5), (26, 9), (11, 20), (32, 9), (3, 12), (17, 15), (10, 3), (21, 11), (19, 21), (34, 1), (2, 11), (8, 9), (34, 7), (1, 29), (30, 21), (21, 15), (6, 13), (4, 8), (8, 22), (14, 3), (10, 15), (28, 6), (12, 25), (11, 4), (29, 19), (5, 7), (0, 18), (1, 14), (15, 3), (26, 18), (24, 24), (12, 14), (30, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 34x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 9), (19, 0), (3, 29), (26, 10), (13, 8), (22, 33), (30, 36), (12, 7), (21, 0), (9, 35), (9, 14), (24, 5), (29, 35), (20, 8), (29, 9), (3, 4), (9, 15), (16, 25), (27, 27), (31, 30), (1, 35), (5, 14), (16, 34), (15, 19), (18, 10), (27, 31), (21, 14), (6, 2), (0, 27), (10, 28), (1, 24), (26, 31), (9, 6), (28, 20), (14, 12), (32, 3), (27, 19), (25, 21), (18, 18), (10, 16), (20, 10), (6, 7), (27, 5), (17, 22), (9, 17), (26, 16), (15, 29), (3, 17), (18, 19), (7, 6), (31, 32), (12, 3), (30, 0), (4, 29), (32, 22), (9, 10), (3, 16), (1, 16), (2, 19), (0, 11), (28, 28), (18, 36), (14, 37), (1, 15), (22, 0), (7, 3), (1, 1), (20, 9), (24, 30), (3, 36), (13, 29), (5, 26), (10, 9), (31, 14), (11, 12), (24, 28), (25, 35), (26, 37), (33, 4), (6, 18), (5, 0), (4, 15), (8, 7), (10, 23), (16, 22), (15, 10), (12, 2), (16, 14), (29, 34), (32, 9), (6, 16), (24, 36), (17, 13), (19, 4), (8, 5), (12, 10), (5, 21), (25, 22), (27, 12), (29, 31), (19, 33), (8, 19), (15, 36), (10, 25), (13, 6), (18, 4), (11, 10), (3, 32), (11, 30), (22, 32), (12, 22), (15, 33), (2, 15), (4, 34), (1, 19), (29, 6), (14, 22), (6, 35), (12, 25), (6, 4), (4, 6), (11, 4), (30, 16), (0, 1), (1, 23), (9, 20), (23, 2), (3, 31), (29, 19), (24, 15), (26, 0), (21, 34), (24, 24), (4, 24), (5, 19), (18, 1), (31, 25), (28, 37), (27, 4), (5, 6), (16, 23), (33, 30), (4, 8), (26, 30), (33, 16), (19, 17), (22, 3), (33, 11), (19, 22), (0, 15), (6, 20), (8, 27), (32, 16), (21, 4), (19, 29), (33, 32), (6, 31), (28, 33), (11, 6), (29, 21), (18, 30), (31, 18), (30, 30), (7, 17), (25, 6), (28, 7), (8, 25), (8, 0), (20, 6), (31, 6), (24, 21), (1, 4), (11, 0), (0, 23), (21, 2), (23, 6), (19, 23), (33, 22), (4, 7), (11, 1), (31, 2), (16, 33), (20, 3), (23, 13), (27, 26), (1, 3), (18, 12), (7, 19), (18, 33), (12, 36), (14, 32), (19, 10), (12, 33), (16, 8), (19, 8), (12, 13), (26, 36), (25, 9), (26, 9), (30, 1), (8, 15), (23, 12), (28, 32), (9, 22), (6, 12), (0, 29), (4, 5), (9, 28), (13, 26), (18, 28), (30, 15), (11, 11), (26, 5), (12, 18), (18, 6), (27, 29), (20, 22), (1, 5), (13, 2), (11, 13), (13, 27), (29, 28), (20, 13), (7, 12), (26, 21), (5, 7), (18, 16), (9, 3), (3, 13), (32, 4), (17, 37), (17, 31), (11, 5), (12, 17), (4, 2), (14, 19), (2, 8), (14, 31), (25, 25), (18, 29), (3, 1), (2, 37), (33, 13), (5, 16), (16, 28), (21, 29), (22, 11), (22, 10), (25, 13), (4, 35), (27, 33), (18, 22), (4, 21), (32, 33), (20, 5), (13, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "In a 33x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 3), (29, 34), (17, 30), (8, 26), (28, 25), (19, 33), (12, 7), (16, 18), (29, 32), (31, 0), (5, 11), (4, 7), (12, 10), (3, 17), (8, 19), (0, 14), (2, 4), (20, 0), (32, 17), (5, 19), (26, 18), (20, 29), (27, 34), (8, 22), (25, 6), (18, 8), (5, 15), (22, 25), (22, 2), (25, 25), (7, 4), (26, 5), (9, 4), (16, 27), (1, 28), (18, 2), (2, 16), (32, 19), (7, 28), (32, 32), (21, 18), (0, 17), (31, 13), (2, 19), (20, 10), (4, 27), (20, 25), (21, 3), (21, 29), (6, 3), (17, 22), (8, 18), (32, 9), (12, 4), (18, 29), (18, 32), (30, 2), (14, 1), (19, 8), (0, 22), (21, 14), (9, 22), (17, 6), (7, 6), (21, 26), (17, 9), (27, 7), (5, 7), (5, 23), (7, 27), (8, 24), (1, 32), (16, 30), (31, 22), (6, 2), (18, 24), (20, 15), (12, 27), (31, 7), (31, 29), (20, 3), (22, 24), (2, 32), (8, 34), (32, 23), (15, 9), (0, 34), (17, 23), (7, 20), (12, 1), (6, 26), (0, 3), (15, 29), (2, 30), (21, 22), (7, 0), (3, 11), (22, 23), (2, 26), (16, 24), (23, 24), (6, 8), (19, 1), (30, 12), (32, 2), (16, 28), (22, 33), (25, 14), (9, 17), (8, 7), (13, 29), (17, 18), (20, 4), (23, 22), (7, 10), (8, 3), (22, 15), (13, 32), (28, 33), (19, 30), (25, 33), (8, 32), (13, 2), (12, 28), (15, 34), (11, 28), (30, 20), (22, 18), (18, 7), (3, 25), (2, 27), (3, 12), (4, 2), (26, 6), (17, 11), (16, 4), (21, 21), (23, 18), (14, 15), (29, 0), (11, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 27), (7, 0), (22, 26), (9, 1), (11, 6), (7, 15), (24, 11), (0, 4), (8, 14), (31, 3), (0, 14), (22, 12), (18, 16), (23, 19), (4, 12), (26, 2), (30, 15), (5, 18), (0, 3), (0, 31), (13, 13), (17, 10), (27, 4), (5, 0), (20, 7), (7, 18), (22, 29), (27, 22), (5, 25), (0, 8), (2, 27), (28, 0), (2, 12), (29, 31), (17, 16), (6, 27), (14, 19), (13, 30), (22, 14), (17, 14), (27, 3), (18, 10), (24, 27), (24, 22), (11, 12), (7, 22), (6, 18), (26, 12), (24, 0), (7, 17), (11, 30), (3, 30), (12, 17), (0, 13), (13, 12), (31, 29), (14, 17), (9, 22), (8, 7), (10, 6), (29, 20), (0, 22), (27, 18), (14, 20), (7, 4), (2, 9), (7, 30), (0, 20), (0, 28), (16, 25), (18, 19), (5, 21), (2, 19), (15, 12), (10, 29), (4, 10), (2, 23), (18, 13), (9, 14), (20, 1), (28, 1), (2, 17), (17, 20), (20, 16), (11, 16), (31, 25), (3, 0), (8, 12), (27, 13), (14, 30), (16, 24), (24, 14), (23, 18), (4, 2), (17, 4), (24, 12), (27, 16), (25, 18), (29, 28), (21, 21), (11, 4), (14, 25), (31, 22), (2, 10), (10, 0), (20, 19), (21, 28), (11, 14), (6, 24), (18, 2), (19, 12), (13, 8), (15, 14), (30, 18), (26, 22), (25, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 16), (22, 5), (23, 7), (28, 29), (1, 12), (0, 7), (28, 14), (7, 19), (29, 31), (2, 4), (20, 12), (10, 20), (27, 27), (28, 16), (22, 24), (16, 27), (1, 31), (10, 18), (5, 28), (4, 27), (17, 5), (23, 35), (20, 33), (18, 31), (23, 17), (9, 29), (12, 26), (15, 4), (28, 3), (22, 18), (17, 18), (18, 29), (12, 11), (26, 33), (18, 20), (26, 10), (26, 6), (29, 9), (13, 31), (19, 29), (24, 35), (23, 22), (10, 33), (11, 18), (30, 12), (17, 3), (1, 0), (29, 28), (30, 5), (9, 6), (21, 7), (0, 22), (28, 5), (17, 29), (8, 35), (9, 3), (3, 4), (27, 21), (15, 5), (2, 9), (1, 4), (27, 9), (19, 22), (14, 24), (5, 7), (19, 15), (11, 3), (1, 21), (0, 26), (10, 17), (25, 15), (7, 17), (24, 6), (20, 1), (6, 19), (30, 32), (21, 19), (21, 22), (22, 34), (28, 27), (18, 17), (10, 3), (14, 14), (29, 21), (3, 9), (11, 10), (7, 22), (2, 8), (20, 28), (10, 27), (19, 25), (18, 23), (6, 17), (28, 26), (24, 27), (1, 33), (19, 6), (21, 12), (16, 34), (12, 18), (13, 10), (21, 8), (24, 9), (28, 32), (29, 0), (19, 4), (17, 16), (27, 18), (15, 6), (15, 22), (1, 24), (21, 32), (22, 21), (21, 30), (24, 30), (28, 11), (22, 35), (4, 8), (7, 11), (25, 8), (9, 4), (3, 15), (27, 0)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 34x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 28), (13, 22), (0, 25), (10, 22), (4, 9), (13, 27), (21, 11), (19, 20), (32, 13), (22, 10), (2, 9), (17, 24), (12, 21), (22, 15), (15, 8), (13, 11), (11, 28), (16, 12), (19, 21), (14, 13), (12, 10), (30, 28), (19, 6), (22, 6), (5, 5), (27, 2), (4, 14), (7, 7), (27, 24), (4, 6), (19, 29), (3, 26), (17, 26), (24, 10), (31, 29), (8, 14), (10, 20), (16, 11), (27, 14), (6, 8), (13, 6), (6, 18), (23, 16), (6, 26), (6, 22), (5, 21), (26, 25), (32, 2), (1, 9), (4, 1), (25, 8), (19, 13), (21, 14), (20, 1), (6, 23), (4, 17), (9, 26), (13, 18), (23, 27), (26, 9), (32, 4), (9, 18), (23, 1), (8, 15), (5, 8), (6, 20), (28, 15), (17, 25), (0, 3), (3, 22), (10, 6), (31, 23), (9, 24), (13, 13), (9, 21), (21, 28), (26, 20), (12, 29), (22, 11), (5, 26), (14, 27), (30, 26), (4, 22), (12, 11), (17, 15), (7, 19), (2, 4), (9, 10), (14, 18), (13, 21), (28, 10), (17, 28), (8, 0), (23, 12), (22, 17), (0, 10), (33, 27), (8, 25), (2, 0), (33, 1), (14, 2), (27, 19), (1, 15), (0, 27), (25, 15), (21, 18), (2, 5), (20, 6), (15, 17), (25, 26), (27, 12), (22, 18), (29, 18), (12, 2), (12, 12), (2, 19), (0, 14), (13, 3), (15, 11), (1, 29), (4, 8), (8, 5), (2, 6), (15, 20), (17, 10), (13, 29), (25, 11), (8, 4), (26, 26), (4, 29), (2, 15), (25, 28), (7, 5), (33, 9), (2, 29), (30, 4), (27, 7), (6, 28), (7, 25), (26, 6), (29, 6), (33, 24), (12, 26), (24, 2), (14, 0), (13, 23), (17, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 9), (13, 0), (10, 12), (21, 1), (22, 16), (19, 3), (1, 27), (16, 19), (23, 0), (22, 21), (7, 6), (19, 22), (28, 15), (14, 26), (9, 14), (17, 8), (2, 23), (16, 3), (13, 17), (1, 25), (7, 14), (1, 13), (10, 21), (4, 27), (25, 23), (15, 26), (27, 0), (12, 18), (28, 28), (17, 13), (25, 7), (19, 16), (24, 8), (11, 23), (4, 15), (9, 5), (6, 15), (25, 1), (5, 24), (23, 7), (8, 13), (1, 21), (12, 12), (8, 5), (18, 8), (25, 20), (4, 8), (5, 3), (9, 28), (8, 23), (13, 11), (11, 4), (1, 6), (15, 4), (12, 13), (23, 11), (4, 22), (1, 20), (19, 23), (28, 23), (12, 27), (6, 25), (18, 1), (18, 13), (10, 22), (16, 23), (10, 25), (20, 18), (21, 5), (27, 12), (17, 0), (27, 16), (15, 22), (6, 29), (21, 25), (20, 7), (28, 16), (16, 21), (7, 8), (15, 20), (9, 17), (3, 23), (13, 28), (25, 9), (18, 2), (20, 11), (20, 14), (4, 4), (3, 22), (7, 0), (9, 27), (0, 26), (11, 15), (10, 16), (17, 2), (5, 17), (10, 3), (18, 27), (25, 21), (18, 10), (0, 18), (18, 15), (12, 25), (6, 22), (2, 21), (9, 6), (2, 20), (17, 17), (26, 4), (11, 1), (1, 14), (21, 23), (6, 6), (23, 2), (7, 13), (10, 17), (14, 15), (22, 0), (4, 2), (11, 21), (7, 10), (26, 12), (22, 23), (7, 11), (29, 13), (23, 9), (20, 16), (13, 20), (12, 23), (4, 13), (14, 1), (20, 0), (29, 8), (9, 23), (13, 6), (13, 22), (5, 1), (11, 17), (20, 28), (6, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 37x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (0, 8), (19, 32), (26, 23), (9, 28), (16, 4), (2, 6), (32, 23), (22, 28), (35, 6), (10, 26), (31, 3), (17, 29), (0, 36), (3, 7), (8, 13), (22, 16), (36, 14), (18, 9), (12, 23), (21, 20), (2, 35), (2, 14), (35, 24), (35, 26), (32, 0), (31, 28), (16, 18), (34, 17), (15, 0), (11, 13), (9, 26), (7, 6), (0, 19), (25, 17), (16, 20), (35, 1), (19, 10), (25, 20), (28, 14), (28, 36), (31, 31), (16, 0), (11, 12), (2, 27), (26, 15), (27, 32), (6, 3), (0, 32), (13, 5), (9, 32), (8, 10), (30, 28), (35, 18), (13, 18), (14, 4), (31, 32), (8, 6), (18, 33), (25, 9), (18, 26), (22, 34), (34, 1), (21, 14), (2, 26), (20, 32), (24, 3), (8, 34), (2, 7), (25, 18), (31, 13), (15, 6), (14, 31), (20, 34), (1, 25), (29, 11), (26, 16), (32, 13), (28, 17), (14, 16), (12, 12), (2, 3), (30, 2), (25, 10), (8, 4), (13, 7), (34, 13), (12, 34), (0, 26), (35, 31), (1, 2), (34, 29), (5, 30), (8, 33), (4, 10), (24, 9), (5, 4), (16, 2), (27, 7), (23, 6), (6, 9), (14, 13), (15, 16), (2, 18), (10, 12), (11, 2), (24, 24), (2, 0), (12, 35), (27, 0), (4, 26), (14, 22), (11, 14), (3, 17), (24, 16), (11, 10), (14, 17), (3, 15), (20, 5), (26, 19), (11, 29), (6, 13), (32, 3), (21, 12), (31, 18), (32, 24), (30, 34), (5, 12), (29, 4), (8, 17), (5, 28), (33, 13), (29, 25), (14, 26), (3, 18), (15, 24), (30, 10), (33, 21), (34, 5), (5, 27), (21, 7), (4, 7), (26, 1), (33, 18), (0, 10), (18, 27), (10, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 29), (18, 0), (13, 14), (0, 7), (10, 24), (1, 2), (10, 15), (22, 29), (37, 15), (8, 10), (35, 2), (28, 28), (27, 18), (26, 18), (29, 14), (19, 9), (31, 21), (28, 19), (36, 21), (23, 10), (5, 10), (13, 11), (3, 27), (6, 0), (11, 10), (28, 7), (35, 29), (35, 14), (21, 29), (6, 19), (30, 22), (21, 9), (10, 21), (34, 9), (17, 13), (18, 28), (20, 2), (9, 27), (13, 4), (8, 4), (20, 11), (10, 14), (22, 22), (31, 18), (7, 28), (35, 17), (13, 9), (1, 23), (6, 18), (27, 17), (7, 24), (24, 14), (31, 26), (7, 3), (25, 24), (23, 4), (5, 12), (6, 15), (21, 31), (35, 12), (9, 1), (8, 9), (28, 0), (12, 14), (33, 11), (15, 14), (24, 15), (15, 18), (13, 5), (35, 16), (3, 6), (34, 15), (3, 9), (14, 19), (14, 10), (24, 31), (19, 19), (14, 8), (6, 16), (18, 10), (26, 19), (8, 8), (23, 17), (8, 31), (8, 20), (28, 24), (17, 19), (25, 3), (0, 20), (27, 14), (2, 2), (22, 24), (13, 15), (29, 2), (37, 12), (20, 28), (16, 9), (31, 22), (7, 14), (16, 15), (27, 10), (34, 20), (36, 24), (2, 0), (18, 19), (9, 25), (10, 29), (26, 25), (32, 25), (8, 15), (18, 30), (31, 11), (22, 18), (1, 7), (22, 25), (24, 12), (14, 11), (35, 30), (17, 28), (4, 16), (11, 12), (23, 8), (11, 21), (11, 30), (1, 27), (36, 1), (10, 22), (4, 29), (12, 22), (17, 5), (37, 11), (4, 4), (19, 28), (35, 9), (0, 24), (0, 5), (15, 29), (1, 26), (10, 19), (37, 25), (22, 14), (13, 13), (18, 15), (25, 28), (5, 16), (20, 17), (25, 14), (11, 11), (28, 9), (11, 16), (20, 20), (0, 12), (29, 21), (2, 19), (11, 0), (34, 27), (32, 22), (22, 26), (21, 11), (6, 17), (31, 15), (24, 0), (0, 31), (27, 2), (21, 7), (36, 6), (17, 11), (32, 14), (25, 27), (7, 11), (15, 17), (21, 25), (10, 4), (35, 5), (27, 13), (8, 21), (36, 19), (8, 22), (26, 3), (12, 4), (16, 16), (28, 21), (11, 14), (22, 0), (6, 3), (12, 7), (16, 18), (28, 30), (1, 22), (13, 1), (35, 15), (2, 27), (11, 8), (7, 25), (5, 9), (20, 25), (2, 3), (26, 7), (17, 1), (35, 6), (28, 2), (19, 21), (20, 19), (31, 30), (17, 10), (1, 18), (25, 17), (9, 2), (33, 7), (7, 21), (0, 17), (26, 8), (24, 21), (16, 10), (34, 26), (20, 1), (36, 12), (9, 8), (29, 31), (18, 13), (1, 19), (9, 29), (21, 19), (21, 23), (10, 11), (21, 17), (26, 14), (32, 24), (13, 3), (20, 30), (37, 6)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 33x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 9), (15, 7), (23, 16), (26, 11), (31, 32), (19, 9), (23, 32), (32, 14), (20, 11), (10, 14), (23, 10), (18, 14), (27, 1), (12, 9), (12, 27), (10, 0), (12, 26), (10, 24), (31, 3), (11, 8), (19, 16), (23, 1), (22, 31), (31, 18), (12, 8), (32, 24), (29, 24), (32, 30), (18, 28), (18, 24), (14, 7), (25, 0), (22, 3), (2, 36), (24, 19), (17, 0), (17, 19), (1, 33), (0, 19), (5, 12), (13, 7), (14, 27), (20, 17), (24, 17), (28, 6), (10, 3), (27, 33), (31, 12), (8, 17), (5, 6), (28, 28), (11, 5), (1, 7), (1, 27), (19, 33), (8, 18), (22, 13), (26, 21), (15, 22), (15, 23), (6, 22), (25, 21), (3, 17), (21, 13), (32, 9), (24, 30), (17, 31), (4, 23), (25, 31), (12, 12), (16, 15), (31, 7), (12, 36), (3, 2), (17, 27), (31, 10), (25, 15), (21, 24), (14, 34), (2, 11), (24, 10), (21, 25), (25, 35), (9, 14), (15, 29), (0, 16), (12, 28), (15, 4), (0, 1), (11, 18), (25, 28), (31, 27), (7, 8), (29, 17), (15, 10), (6, 1), (25, 13), (3, 1), (9, 1), (17, 20), (28, 26), (25, 3), (5, 26), (18, 11), (22, 29), (1, 28), (20, 15), (21, 4), (21, 31), (4, 12), (30, 36), (11, 23), (20, 12), (11, 26), (22, 34), (14, 14), (13, 22), (16, 14), (18, 17), (7, 11), (5, 8), (7, 28), (9, 9), (12, 32), (29, 14), (7, 2), (29, 34), (2, 15), (16, 32), (10, 16), (2, 29), (27, 36), (2, 16), (25, 20), (32, 4), (28, 25), (23, 25), (1, 5), (1, 17), (5, 15), (20, 26), (28, 21), (21, 33), (13, 34), (21, 2), (3, 10), (25, 10), (1, 14), (26, 31), (22, 20), (0, 29), (19, 4), (2, 19), (21, 21), (26, 19), (8, 2), (26, 6), (22, 22), (15, 27), (25, 25), (7, 17), (7, 16), (3, 36), (9, 7), (16, 18), (17, 3), (19, 0), (28, 12), (25, 14), (4, 5), (3, 13), (1, 16), (12, 2), (26, 26), (31, 19), (28, 13), (28, 11), (9, 27), (30, 19), (11, 25), (23, 23), (26, 3), (20, 27), (4, 0), (15, 25), (0, 24), (18, 33), (11, 34), (9, 22), (7, 1), (4, 20), (24, 26), (27, 22), (30, 25), (15, 34), (10, 22), (11, 17), (2, 32), (23, 8), (2, 9), (17, 12), (15, 13), (14, 21), (4, 4), (26, 27), (29, 2), (30, 12), (32, 1), (28, 29), (21, 0), (5, 21), (12, 15), (8, 20), (22, 10), (17, 5), (31, 35), (12, 24), (16, 0), (17, 7), (3, 9), (19, 23), (2, 33), (9, 36), (13, 20), (6, 30), (3, 35), (9, 12), (4, 35), (27, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "14", "dataset": "MATH"}
{"messages": [{"content": "In a 37x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 36), (16, 16), (8, 13), (7, 4), (12, 1), (4, 25), (27, 8), (2, 28), (13, 35), (20, 2), (34, 30), (18, 16), (4, 18), (2, 9), (22, 15), (26, 37), (14, 5), (5, 12), (35, 26), (10, 11), (36, 7), (27, 0), (4, 30), (22, 33), (21, 7), (18, 33), (19, 35), (4, 31), (2, 14), (29, 36), (6, 1), (21, 28), (0, 25), (8, 29), (15, 7), (26, 10), (2, 23), (6, 4), (15, 20), (25, 22), (10, 7), (16, 21), (17, 7), (34, 2), (20, 21), (11, 24), (23, 5), (30, 6), (34, 28), (0, 27), (35, 17), (19, 33), (28, 0), (24, 20), (14, 38), (4, 19), (27, 13), (15, 8), (25, 25), (13, 10), (1, 32), (12, 33), (11, 14), (15, 25), (33, 22), (24, 17), (35, 15), (23, 6), (11, 3), (34, 15), (4, 1), (16, 35), (0, 16), (6, 34), (4, 10), (22, 35), (26, 19), (10, 8), (16, 6), (36, 34), (13, 28), (2, 36), (22, 7), (3, 5), (28, 23), (33, 25), (10, 34), (35, 30), (10, 16), (31, 29), (25, 8), (19, 28), (34, 25), (9, 3), (22, 23), (15, 10), (28, 18), (26, 13), (27, 23), (35, 33), (13, 18), (12, 31), (20, 29), (16, 27), (13, 22), (25, 5), (20, 36), (1, 25), (31, 34), (24, 23), (19, 32), (30, 31), (32, 34), (28, 10), (22, 5), (30, 35), (18, 18), (22, 6), (10, 13), (6, 31), (25, 11), (5, 30), (24, 36), (35, 19), (7, 14), (22, 25), (27, 16), (32, 36), (14, 20), (6, 21), (20, 0), (30, 22), (1, 23), (22, 30), (29, 19), (32, 1), (6, 22), (23, 15), (14, 15), (26, 33), (23, 25), (1, 0), (8, 32), (13, 32), (3, 6), (16, 9), (32, 21), (19, 19), (12, 20), (19, 26), (29, 22), (7, 36), (31, 9), (33, 14), (32, 15), (8, 24), (11, 18), (34, 17), (35, 20), (3, 9), (9, 34), (21, 8), (26, 9), (3, 18), (28, 29), (1, 17), (7, 12), (1, 38), (1, 7), (4, 3), (29, 24), (2, 30), (15, 17), (34, 6), (22, 17), (30, 2), (20, 6), (16, 24), (7, 27), (22, 24), (24, 3), (1, 27), (1, 12), (5, 16), (28, 5), (11, 20), (5, 22), (2, 3), (5, 6), (24, 32), (3, 2), (2, 34), (25, 12), (12, 0), (36, 9), (17, 18), (8, 16), (25, 0), (30, 12), (3, 23), (31, 24), (9, 21), (1, 5), (14, 23), (15, 0), (13, 6), (33, 30), (8, 2), (18, 12), (28, 1), (25, 33), (11, 2), (1, 33), (12, 24), (1, 2), (8, 4), (11, 1), (36, 0), (20, 24), (31, 27), (21, 37), (35, 2), (19, 13), (20, 37), (15, 16), (15, 4), (7, 0), (6, 6), (6, 30), (7, 30), (23, 21), (36, 20), (7, 5), (7, 8), (5, 5), (32, 16), (31, 18), (12, 36), (28, 12), (25, 36), (30, 32), (7, 10), (26, 3), (6, 25), (35, 21), (32, 7), (20, 9), (1, 15), (23, 29), (30, 29), (31, 37), (31, 33), (16, 28), (34, 26), (35, 9), (6, 32), (6, 9), (10, 29), (9, 5), (10, 0), (8, 9), (2, 19), (30, 30), (33, 8), (15, 38), (12, 2), (22, 31), (4, 24), (17, 9), (21, 27), (11, 27)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 38x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 0), (12, 24), (34, 21), (3, 29), (32, 2), (37, 6), (16, 30), (27, 6), (15, 10), (15, 29), (14, 13), (29, 33), (36, 31), (11, 26), (29, 17), (15, 7), (32, 30), (3, 1), (17, 1), (17, 16), (8, 13), (6, 10), (30, 30), (34, 32), (22, 24), (0, 26), (8, 25), (5, 11), (31, 30), (23, 33), (25, 17), (23, 27), (37, 16), (26, 27), (30, 20), (25, 15), (8, 5), (36, 13), (9, 6), (28, 28), (27, 30), (30, 22), (2, 7), (34, 16), (32, 0), (29, 24), (31, 1), (7, 16), (29, 14), (10, 14), (28, 13), (15, 8), (26, 26), (0, 3), (2, 18), (17, 33), (28, 5), (36, 27), (9, 28), (19, 10), (6, 23), (16, 27), (7, 5), (32, 21), (16, 26), (27, 19), (12, 21), (16, 13), (4, 16), (2, 19), (7, 30), (30, 5), (24, 12), (5, 26), (21, 1), (31, 13), (0, 10), (34, 3), (7, 19), (14, 1), (13, 13), (18, 32), (19, 11), (20, 12), (19, 23), (23, 16), (18, 0), (10, 19), (2, 8), (8, 15), (4, 9), (20, 16), (36, 28), (15, 31), (37, 7), (20, 10), (33, 33), (18, 21), (28, 11), (31, 26), (36, 8), (36, 0), (1, 19), (30, 3), (17, 29), (23, 11), (29, 18), (2, 29), (14, 27), (24, 28), (17, 10), (12, 26), (23, 31), (1, 1), (3, 7), (0, 25), (31, 17), (29, 4), (30, 26), (26, 25), (15, 14), (1, 23), (3, 24), (22, 6), (34, 31), (21, 9), (18, 7), (20, 13), (34, 1), (15, 1), (27, 15), (16, 1), (0, 5), (15, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 33x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 6), (22, 11), (7, 24), (9, 15), (7, 34), (17, 27), (21, 33), (15, 21), (13, 26), (27, 19), (12, 13), (2, 26), (11, 10), (22, 13), (12, 29), (13, 5), (8, 25), (10, 7), (30, 36), (29, 3), (32, 26), (8, 18), (10, 24), (15, 14), (21, 31), (16, 10), (10, 3), (13, 0), (6, 16), (25, 29), (10, 20), (23, 35), (31, 16), (1, 9), (8, 28), (21, 30), (29, 37), (1, 0), (25, 2), (26, 11), (27, 20), (16, 5), (5, 30), (3, 31), (19, 34), (0, 27), (7, 30), (24, 13), (11, 20), (12, 12), (32, 15), (26, 21), (23, 6), (26, 6), (11, 11), (15, 3), (15, 29), (12, 20), (22, 6), (0, 30), (22, 32), (10, 21), (12, 24), (4, 37), (15, 33), (28, 15), (9, 36), (3, 19), (19, 21), (17, 0), (14, 0), (25, 12), (29, 9), (2, 15), (31, 3), (15, 18), (2, 32), (4, 28), (1, 19), (1, 11), (21, 9), (22, 7), (9, 17), (30, 18), (17, 1), (5, 1), (31, 6), (8, 14), (28, 3), (31, 24), (6, 2), (8, 12), (3, 21), (2, 3), (25, 36), (21, 15), (32, 6), (27, 1), (16, 22), (15, 2), (10, 18), (21, 19), (18, 26), (15, 5), (19, 3), (6, 5), (29, 10), (0, 16), (31, 17), (26, 4), (11, 5), (10, 1), (31, 33), (13, 25), (0, 3), (9, 0), (24, 2), (5, 35), (23, 22), (15, 4), (15, 36), (0, 28), (10, 37), (5, 11), (19, 17), (9, 34), (0, 23), (28, 35), (4, 20), (4, 6), (21, 13), (29, 20), (29, 2), (8, 9), (1, 23), (24, 9), (31, 9), (27, 34), (18, 18), (17, 6), (27, 12), (16, 31), (8, 10), (23, 8), (21, 3), (30, 30), (2, 1), (10, 23), (28, 0), (16, 7), (25, 18), (26, 9), (31, 23), (32, 8), (14, 9), (7, 14), (25, 0), (18, 20), (23, 21), (14, 21), (14, 14), (8, 26), (30, 0), (8, 31), (16, 0), (16, 15), (14, 5), (14, 6), (21, 17), (4, 24), (24, 18), (20, 18), (1, 16), (24, 7), (5, 0), (2, 9), (29, 21), (18, 29), (11, 18), (11, 26), (14, 15), (13, 3), (25, 20), (17, 26), (31, 15), (22, 4), (13, 34), (28, 18), (30, 15), (15, 13), (28, 19), (2, 36), (18, 7), (4, 16), (3, 34), (20, 13), (20, 27), (5, 27), (6, 22), (17, 21), (5, 28), (6, 27), (4, 32), (12, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (31, 9), (8, 36), (4, 1), (34, 33), (12, 22), (29, 26), (0, 31), (3, 22), (29, 2), (11, 24), (31, 14), (10, 5), (8, 5), (19, 17), (6, 15), (20, 12), (33, 25), (28, 33), (13, 11), (29, 16), (33, 18), (5, 31), (10, 2), (34, 6), (18, 14), (12, 33), (21, 5), (10, 8), (1, 31), (35, 34), (0, 20), (22, 7), (34, 38), (7, 3), (32, 28), (35, 7), (33, 17), (33, 33), (7, 31), (3, 37), (20, 0), (20, 22), (26, 15), (34, 15), (32, 25), (32, 18), (6, 35), (4, 26), (25, 1), (29, 32), (3, 16), (14, 23), (2, 36), (33, 10), (16, 13), (34, 2), (33, 16), (22, 26), (35, 20), (24, 27), (30, 35), (15, 4), (24, 11), (7, 26), (14, 10), (35, 27), (12, 26), (22, 17), (1, 38), (14, 22), (4, 33), (7, 20), (18, 33), (14, 35), (26, 1), (34, 36), (28, 24), (23, 22), (0, 26), (13, 13), (17, 36), (25, 13), (30, 19), (15, 37), (21, 18), (20, 16), (28, 32), (21, 14), (19, 11), (28, 11), (9, 34), (32, 0), (28, 14), (12, 16), (12, 23), (25, 34), (2, 33), (33, 31), (30, 12), (33, 15), (29, 21), (23, 38), (12, 25), (13, 27), (18, 27), (28, 10), (21, 7), (17, 13), (3, 34), (19, 13), (32, 32), (35, 29), (26, 13), (23, 19), (9, 30), (24, 4), (15, 31), (12, 36), (20, 19), (8, 28), (12, 11), (25, 12), (3, 23), (24, 32), (22, 16), (6, 25), (18, 34), (20, 32), (16, 19), (29, 12), (10, 23), (9, 8), (21, 12), (19, 3), (33, 27), (28, 35), (23, 27), (6, 4), (6, 8), (22, 1), (11, 36), (16, 37), (26, 26), (10, 19), (5, 9), (15, 8), (12, 8), (4, 0), (20, 33), (14, 24), (31, 11), (1, 6), (14, 11), (2, 34), (15, 29), (8, 0), (10, 22), (2, 4), (21, 9), (24, 23), (26, 0), (13, 38), (1, 27), (28, 26), (19, 31), (30, 3), (19, 10), (2, 22), (16, 1), (18, 11), (15, 23), (1, 18), (15, 10), (0, 32), (33, 7), (12, 30), (16, 11), (25, 30), (19, 28), (25, 37), (18, 29), (10, 25), (10, 7), (27, 24), (6, 27), (12, 37), (33, 12), (31, 3)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 1), (26, 17), (28, 32), (36, 21), (28, 24), (11, 29), (31, 18), (14, 27), (30, 19), (32, 29), (37, 8), (13, 2), (24, 21), (12, 18), (15, 12), (34, 24), (4, 32), (31, 15), (30, 17), (15, 22), (34, 3), (36, 1), (1, 28), (26, 18), (36, 24), (24, 19), (27, 5), (34, 30), (29, 33), (17, 31), (37, 32), (25, 4), (30, 14), (15, 29), (29, 0), (2, 24), (14, 28), (13, 11), (13, 6), (28, 12), (5, 33), (11, 5), (0, 11), (0, 17), (9, 7), (25, 6), (35, 27), (14, 2), (7, 27), (18, 11), (7, 21), (22, 12), (25, 31), (7, 18), (24, 9), (36, 12), (7, 33), (34, 28), (35, 30), (38, 30), (30, 29), (15, 34), (18, 26), (12, 17), (24, 25), (8, 3), (17, 14), (25, 9), (13, 5), (25, 27), (10, 33), (17, 0), (24, 33), (15, 21), (7, 24), (9, 23), (12, 14), (2, 10), (25, 12), (17, 32), (33, 27), (16, 22), (28, 21), (33, 22), (27, 16), (14, 22), (20, 17), (26, 13), (38, 26), (38, 3), (0, 19), (14, 19), (15, 8), (3, 26), (25, 28), (18, 13), (17, 6), (18, 23), (4, 31), (2, 27), (6, 0), (8, 26), (0, 20), (38, 15), (30, 33), (27, 9), (0, 27), (16, 10), (30, 10), (13, 17), (26, 23), (38, 27), (22, 7), (21, 11), (34, 29), (12, 27), (0, 5), (29, 1), (11, 26), (5, 19), (3, 30), (0, 1), (7, 25), (32, 15), (25, 8), (23, 12), (25, 0), (32, 4), (24, 8), (29, 4), (26, 30), (38, 2), (14, 23), (9, 22), (27, 34), (37, 22), (37, 14), (13, 10), (5, 4), (20, 1), (27, 12), (7, 15), (12, 34), (3, 28), (15, 17), (11, 32), (21, 1), (33, 13), (28, 18), (22, 30), (0, 26), (18, 9), (9, 19), (38, 23), (1, 14), (19, 23), (27, 33), (4, 17), (8, 14), (31, 28), (4, 20), (1, 3), (8, 21), (23, 26), (9, 11), (20, 16), (2, 17), (37, 24), (19, 16), (20, 18)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 38x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 34), (35, 25), (31, 27), (31, 10), (35, 28), (37, 6), (6, 29), (35, 21), (27, 3), (16, 3), (34, 35), (9, 12), (9, 6), (26, 26), (20, 0), (37, 9), (32, 27), (12, 26), (36, 23), (31, 25), (15, 29), (8, 24), (4, 23), (32, 32), (32, 21), (21, 8), (25, 23), (9, 22), (2, 27), (5, 33), (14, 32), (27, 4), (21, 31), (13, 16), (22, 22), (3, 1), (25, 11), (37, 30), (37, 21), (3, 8), (18, 30), (3, 35), (3, 23), (3, 19), (32, 29), (24, 7), (14, 9), (13, 26), (9, 10), (13, 1), (2, 18), (34, 29), (20, 10), (26, 15), (33, 4), (23, 0), (22, 30), (15, 22), (5, 23), (28, 4), (23, 24), (17, 17), (10, 0), (30, 20), (9, 18), (25, 12), (1, 0), (36, 0), (17, 35), (15, 32), (14, 22), (24, 16), (16, 17), (22, 21), (16, 33), (27, 10), (28, 10), (24, 17), (31, 32), (26, 4), (9, 27), (21, 28), (1, 6), (24, 24), (33, 15), (29, 30), (0, 14), (13, 36), (36, 13), (27, 23), (1, 26), (27, 20), (28, 26), (5, 7), (9, 16), (28, 13), (13, 30), (0, 30), (32, 35), (23, 30), (17, 3), (16, 22), (26, 8), (31, 14), (31, 2), (10, 25), (0, 35), (30, 17), (16, 26), (22, 15), (8, 27), (14, 19), (35, 1), (24, 29), (27, 1), (36, 19), (31, 11), (2, 19), (1, 32), (21, 25), (6, 21), (31, 12), (18, 34), (11, 15), (7, 9), (23, 34), (15, 34), (24, 26), (20, 29), (28, 28), (31, 7), (12, 9), (13, 4), (22, 13), (18, 23), (15, 36), (2, 4), (21, 29), (34, 3), (3, 18), (18, 3), (19, 6), (11, 31), (8, 17), (28, 36), (19, 5), (6, 7), (27, 19), (1, 27), (4, 34), (32, 26), (27, 34), (0, 8), (9, 24), (0, 19), (8, 16), (22, 7), (24, 6), (35, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 36x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (2, 10), (19, 7), (21, 5), (8, 29), (12, 14), (4, 5), (17, 4), (1, 19), (23, 29), (6, 9), (34, 28), (19, 14), (27, 4), (3, 16), (5, 9), (9, 13), (5, 20), (8, 17), (1, 29), (3, 10), (31, 3), (1, 5), (24, 4), (9, 5), (24, 6), (12, 18), (19, 20), (2, 25), (32, 12), (31, 17), (7, 30), (34, 4), (5, 24), (8, 15), (34, 13), (0, 14), (32, 20), (32, 21), (12, 7), (17, 9), (15, 24), (15, 12), (18, 4), (24, 19), (29, 29), (9, 19), (12, 6), (0, 28), (9, 18), (26, 23), (25, 6), (19, 2), (11, 12), (20, 10), (27, 11), (28, 20), (15, 6), (5, 5), (21, 15), (1, 25), (14, 0), (15, 11), (17, 25), (18, 20), (6, 2), (9, 8), (35, 29), (17, 7), (2, 2), (20, 23), (1, 10), (4, 28), (33, 14), (10, 16), (4, 14), (17, 28), (26, 6), (7, 13), (31, 22), (22, 2), (19, 16), (4, 0), (1, 23), (8, 14), (21, 12), (7, 25), (12, 8), (16, 12), (3, 9), (13, 13), (18, 14), (29, 1), (0, 27), (6, 19), (12, 21), (3, 19), (26, 4), (29, 24), (22, 13), (30, 23), (30, 26), (22, 17), (34, 6), (21, 30), (3, 5), (24, 5), (27, 8), (3, 21), (31, 16), (13, 11), (32, 5), (2, 23), (0, 6), (22, 4), (16, 19), (22, 0), (27, 3), (14, 2), (2, 26), (12, 30), (0, 12), (12, 20), (6, 10), (17, 24), (18, 23), (10, 28), (15, 13), (2, 13), (17, 30), (29, 16), (22, 15), (19, 23), (6, 25), (6, 21), (15, 26), (0, 16), (14, 17), (25, 28), (30, 22), (15, 8), (15, 9), (4, 8), (16, 13), (32, 24), (12, 0), (1, 24), (24, 21), (28, 13), (0, 21), (16, 14), (11, 26), (24, 2), (19, 28), (15, 7), (34, 17), (5, 13), (24, 9), (20, 5), (35, 4)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 19), (3, 30), (16, 27), (10, 25), (6, 8), (31, 29), (9, 9), (6, 13), (23, 16), (22, 2), (0, 31), (3, 3), (9, 0), (9, 7), (25, 17), (15, 1), (9, 22), (3, 0), (25, 26), (26, 5), (26, 23), (16, 19), (5, 23), (1, 27), (11, 9), (2, 8), (0, 6), (12, 15), (32, 15), (22, 4), (25, 24), (0, 1), (10, 20), (28, 18), (0, 15), (27, 0), (11, 5), (29, 2), (10, 6), (6, 25), (14, 2), (25, 27), (6, 15), (5, 1), (12, 30), (13, 31), (7, 12), (18, 31), (10, 23), (7, 4), (28, 21), (17, 15), (12, 2), (17, 1), (19, 13), (13, 9), (3, 15), (31, 1), (26, 3), (3, 6), (1, 15), (15, 27), (20, 27), (9, 13), (32, 29), (20, 29), (31, 9), (4, 24), (0, 5), (31, 17), (26, 28), (30, 0), (14, 24), (23, 25), (30, 27), (23, 4), (27, 7), (20, 28), (21, 6), (29, 7), (19, 21), (27, 16), (18, 11), (30, 21), (22, 17), (5, 31), (32, 17), (9, 18), (5, 20), (2, 18), (29, 30), (14, 30), (14, 31), (23, 22), (31, 13), (13, 20), (9, 11), (27, 22), (4, 13), (11, 22), (12, 17), (5, 11), (26, 11), (27, 3), (14, 23), (12, 16), (20, 22), (10, 15), (19, 24), (25, 16), (1, 11), (13, 23), (2, 25), (14, 14), (6, 5), (15, 4), (27, 4), (16, 14), (18, 9), (17, 12)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 38x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 10), (31, 17), (8, 7), (22, 2), (13, 22), (26, 19), (17, 14), (32, 29), (20, 8), (23, 17), (31, 1), (7, 13), (32, 18), (8, 1), (20, 17), (27, 7), (29, 5), (5, 29), (15, 29), (11, 28), (7, 11), (19, 14), (1, 25), (14, 8), (37, 15), (11, 19), (18, 5), (25, 0), (17, 11), (7, 17), (12, 12), (31, 19), (11, 12), (14, 23), (15, 27), (24, 26), (21, 28), (27, 25), (27, 21), (35, 27), (34, 23), (10, 14), (12, 10), (20, 3), (4, 7), (37, 7), (23, 3), (15, 28), (26, 26), (3, 7), (23, 9), (34, 13), (32, 27), (37, 16), (9, 1), (33, 29), (8, 26), (22, 16), (29, 10), (21, 7), (11, 16), (13, 28), (25, 11), (13, 12), (36, 5), (14, 20), (25, 6), (25, 1), (29, 28), (12, 14), (28, 20), (12, 21), (2, 7), (1, 0), (14, 29), (35, 29), (19, 23), (7, 18), (12, 24), (3, 25), (25, 23), (15, 16), (37, 13), (29, 16), (33, 2), (24, 25), (25, 13), (32, 0), (7, 21), (0, 6), (28, 29), (35, 0), (3, 9), (6, 1), (20, 9), (36, 18), (12, 16), (11, 26), (8, 28), (27, 3), (26, 14), (28, 15), (30, 15), (25, 2), (18, 27), (16, 2), (29, 12), (20, 10), (6, 20), (10, 10), (27, 13), (12, 9), (30, 0), (34, 24), (17, 20), (22, 14), (9, 5), (30, 13), (32, 22), (17, 1), (5, 26), (30, 6), (23, 20), (27, 10), (27, 0), (6, 22), (2, 17), (0, 2), (14, 11), (21, 9), (32, 14), (31, 12), (13, 0), (7, 4), (15, 21), (19, 17), (22, 27), (22, 28), (23, 1), (25, 20), (36, 20), (30, 1), (23, 8), (1, 10), (10, 7), (33, 0), (1, 18), (30, 8), (34, 18), (9, 25), (31, 9), (11, 7), (29, 13), (1, 23), (14, 15), (14, 6), (30, 27), (37, 0), (9, 22), (7, 23), (18, 19), (1, 16), (0, 16), (9, 21), (33, 17), (11, 18), (4, 12), (16, 9), (21, 16), (14, 16), (15, 4), (36, 8), (4, 15), (30, 20), (31, 24), (35, 26), (12, 27), (3, 2), (36, 17), (35, 12), (24, 14), (10, 26), (2, 18), (19, 15), (26, 12), (37, 6), (9, 16), (30, 29), (5, 10), (37, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 39x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (28, 9), (15, 20), (17, 30), (6, 15), (28, 19), (0, 26), (34, 15), (15, 2), (6, 6), (4, 8), (20, 25), (36, 30), (28, 22), (31, 8), (6, 16), (33, 32), (28, 0), (36, 20), (37, 31), (1, 7), (34, 31), (15, 14), (19, 8), (32, 6), (12, 6), (3, 10), (10, 13), (3, 25), (22, 16), (19, 22), (3, 8), (16, 17), (21, 3), (8, 29), (24, 18), (32, 19), (20, 14), (31, 21), (10, 10), (26, 6), (23, 2), (2, 2), (27, 30), (16, 3), (38, 7), (6, 27), (15, 32), (34, 18), (2, 8), (35, 32), (24, 22), (23, 9), (9, 27), (13, 18), (36, 13), (20, 12), (8, 4), (5, 28), (1, 30), (13, 29), (22, 22), (8, 32), (34, 12), (23, 15), (5, 4), (13, 24), (14, 8), (16, 8), (30, 16), (22, 29), (16, 27), (29, 25), (10, 3), (27, 15), (27, 16), (30, 25), (27, 19), (31, 12), (30, 14), (1, 15), (30, 21), (7, 21), (32, 18), (14, 9), (17, 32), (19, 20), (27, 10), (18, 29), (33, 14), (18, 28), (38, 11), (0, 13), (13, 5), (1, 3), (2, 27), (29, 28), (17, 3), (7, 12), (38, 28), (35, 8), (26, 11), (5, 1), (10, 5), (24, 32), (3, 13), (35, 30), (7, 16), (29, 11), (17, 4), (11, 10), (32, 27), (26, 15), (3, 32), (23, 18), (29, 24), (14, 20), (36, 5), (26, 12), (38, 5), (6, 20), (24, 21), (9, 2), (12, 14), (13, 26), (17, 22), (36, 26), (9, 16), (26, 5), (15, 9), (23, 17), (33, 7), (4, 4), (13, 15), (18, 31), (35, 12), (14, 2), (28, 23), (18, 27), (18, 23), (4, 20), (15, 7), (6, 32), (26, 19), (28, 13), (13, 21), (11, 21), (0, 31), (26, 7), (36, 18), (35, 16), (36, 3), (25, 13), (7, 19), (0, 4), (27, 27), (33, 18), (4, 24), (37, 0), (34, 21), (36, 22), (21, 21), (21, 5), (17, 19), (20, 17), (2, 17), (12, 29), (5, 24), (26, 23), (35, 25), (11, 29), (37, 4), (28, 27), (4, 25), (5, 7), (36, 27), (17, 25), (12, 25), (30, 20), (1, 0), (16, 2), (33, 11), (19, 14), (17, 14), (1, 26), (6, 29), (17, 24), (8, 18), (21, 2), (9, 15), (1, 31), (36, 4), (20, 26), (38, 15), (10, 2), (30, 19), (37, 28), (18, 9), (19, 6), (34, 16), (28, 32), (9, 20), (31, 18), (25, 3), (31, 16), (11, 3), (34, 20)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "11", "dataset": "MATH"}
{"messages": [{"content": "In a 30x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (9, 31), (28, 0), (24, 14), (19, 24), (22, 10), (20, 30), (9, 19), (15, 15), (26, 19), (29, 30), (11, 19), (5, 30), (21, 17), (28, 9), (13, 27), (3, 29), (12, 0), (21, 20), (22, 11), (20, 28), (20, 17), (26, 5), (13, 23), (1, 31), (7, 8), (0, 21), (16, 6), (13, 8), (10, 11), (21, 0), (14, 10), (28, 8), (0, 18), (0, 9), (24, 10), (2, 0), (7, 7), (20, 26), (4, 22), (0, 29), (5, 15), (1, 8), (17, 1), (23, 27), (5, 25), (27, 6), (4, 17), (2, 16), (9, 22), (1, 24), (16, 3), (5, 3), (17, 27), (11, 4), (13, 18), (5, 14), (14, 6), (28, 6), (1, 19), (1, 15), (2, 18), (23, 3), (6, 25), (26, 21), (19, 17), (3, 27), (24, 20), (21, 1), (21, 5), (20, 21), (15, 4), (5, 10), (19, 1), (20, 23), (9, 6), (24, 2), (12, 28), (17, 17), (4, 7), (29, 10), (6, 2), (26, 25), (11, 27), (26, 6), (8, 17), (11, 15), (2, 23), (29, 26), (8, 18), (0, 12), (4, 3), (1, 9), (28, 21), (23, 16), (12, 22), (3, 3), (27, 4), (25, 29), (28, 11), (8, 22), (22, 8), (28, 26), (3, 7), (1, 17), (24, 25), (19, 16), (1, 14), (19, 10), (2, 10), (19, 29), (28, 30), (6, 20), (22, 16), (14, 20), (29, 23), (28, 15), (15, 19), (26, 18), (22, 24), (20, 24), (2, 8), (0, 5), (16, 17), (13, 20), (8, 3), (16, 5), (10, 7), (21, 12), (4, 25), (8, 1), (20, 6), (12, 30), (3, 5), (13, 17), (8, 21), (8, 4), (11, 28), (27, 23), (8, 29), (18, 1), (16, 29), (1, 3), (20, 31), (27, 22), (27, 7), (12, 4), (11, 22), (21, 3), (29, 22), (2, 7), (17, 19), (5, 31), (22, 19), (28, 23), (25, 18), (20, 15), (7, 12), (10, 27), (8, 12), (23, 17), (26, 12), (0, 22), (4, 13), (12, 26), (14, 16), (14, 0), (15, 18), (5, 18), (14, 18), (1, 10), (14, 26), (10, 22), (14, 4), (10, 17), (13, 13), (29, 5), (28, 14), (0, 28), (16, 0), (19, 7), (8, 16), (24, 4), (1, 16), (20, 3), (22, 3), (1, 18), (27, 18), (19, 2), (20, 1), (19, 4), (25, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 3), (11, 23), (30, 7), (7, 13), (1, 26), (26, 22), (26, 23), (33, 2), (34, 13), (32, 28), (38, 24), (16, 29), (23, 2), (34, 9), (36, 27), (38, 12), (28, 14), (14, 5), (10, 3), (34, 7), (10, 10), (29, 11), (20, 16), (3, 21), (16, 26), (35, 6), (33, 10), (3, 16), (31, 28), (29, 2), (30, 26), (33, 28), (19, 29), (16, 14), (20, 10), (25, 9), (15, 6), (1, 17), (11, 17), (3, 27), (16, 12), (38, 16), (2, 17), (15, 15), (37, 1), (19, 14), (33, 29), (29, 9), (23, 20), (17, 24), (8, 6), (27, 10), (22, 20), (31, 0), (7, 3), (23, 6), (25, 21), (16, 1), (7, 10), (35, 5), (4, 24), (38, 1), (33, 15), (21, 28), (18, 13), (8, 21), (31, 1), (13, 13), (9, 23), (12, 2), (25, 12), (11, 18), (30, 23), (27, 12), (3, 29), (9, 26), (30, 28), (8, 11), (38, 15), (33, 7), (6, 16), (10, 7), (36, 29), (5, 20), (16, 8), (1, 23), (14, 14), (37, 4), (0, 26), (35, 16), (30, 27), (14, 22), (35, 4), (14, 28), (2, 1), (20, 21), (17, 26), (37, 29), (8, 5), (15, 0), (10, 4), (22, 28), (16, 13), (14, 10), (6, 11), (16, 21), (8, 24), (6, 27), (25, 25), (19, 8), (5, 7), (13, 6), (11, 2), (31, 12), (19, 18), (16, 6), (5, 24), (28, 12), (4, 19), (11, 24), (29, 29), (8, 15), (25, 8), (37, 22), (7, 9), (25, 3), (0, 27), (25, 20), (31, 17), (38, 9), (37, 23), (31, 27), (23, 7), (29, 24), (5, 10), (10, 15), (6, 1), (3, 28), (19, 21), (18, 1), (21, 3), (18, 10), (24, 29), (29, 27), (23, 12), (1, 25), (25, 15), (14, 17), (34, 15), (15, 13), (2, 29), (18, 9), (17, 29), (4, 27), (9, 11), (12, 18), (18, 16), (7, 25), (10, 24), (6, 4), (21, 8), (24, 24), (8, 9), (2, 14), (12, 10), (17, 25), (1, 19), (8, 13), (14, 20), (25, 17), (10, 21), (1, 18), (32, 10), (11, 28), (23, 11), (1, 4), (27, 29), (26, 15), (21, 15), (1, 22), (3, 18), (18, 8), (33, 25), (5, 2), (14, 19), (33, 19), (12, 24), (9, 10), (35, 0), (22, 3), (24, 11), (35, 7), (28, 22), (27, 6), (32, 23), (36, 7), (27, 9), (18, 28), (8, 1), (22, 19), (6, 3), (1, 24), (30, 11), (28, 15), (10, 26), (23, 3), (37, 2), (4, 18), (11, 12), (3, 4), (30, 0), (26, 6), (9, 12), (3, 0), (37, 3), (26, 17), (34, 21), (15, 9), (22, 29), (1, 6), (17, 5), (13, 27), (14, 8), (37, 21), (17, 14), (33, 3), (23, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (4, 5), (18, 18), (2, 12), (16, 10), (9, 8), (5, 29), (22, 12), (10, 15), (3, 19), (26, 27), (8, 8), (30, 10), (23, 29), (7, 16), (10, 25), (17, 28), (27, 0), (15, 23), (26, 18), (26, 19), (14, 34), (26, 8), (10, 30), (11, 22), (22, 3), (4, 24), (19, 20), (27, 8), (13, 23), (9, 3), (23, 19), (17, 15), (17, 24), (6, 33), (0, 20), (19, 15), (22, 13), (7, 28), (15, 34), (13, 30), (24, 10), (29, 33), (6, 10), (16, 0), (7, 13), (26, 7), (23, 26), (28, 9), (25, 22), (22, 19), (15, 29), (1, 32), (21, 3), (8, 15), (22, 21), (0, 27), (15, 6), (13, 4), (5, 7), (15, 18), (9, 16), (24, 24), (5, 26), (30, 9), (21, 32), (5, 21), (4, 30), (12, 20), (27, 32), (1, 30), (6, 31), (29, 14), (17, 26), (25, 19), (20, 32), (11, 16), (3, 0), (28, 34), (28, 5), (25, 8), (5, 4), (24, 28), (26, 14), (29, 15), (16, 28), (19, 1), (0, 30), (30, 26), (3, 23), (21, 30), (7, 8), (29, 9), (8, 4), (0, 17), (12, 4), (14, 2), (12, 28), (23, 5), (18, 34), (12, 5), (15, 14), (6, 12), (10, 5), (1, 28), (7, 35), (30, 7), (7, 19), (17, 31), (25, 17), (8, 17), (7, 7), (18, 6), (1, 13), (30, 16), (27, 1), (23, 35), (15, 27), (28, 0), (11, 13), (15, 5), (29, 24), (0, 24), (13, 5), (21, 10), (15, 3), (30, 29), (23, 11), (22, 1), (10, 8), (5, 22), (4, 22), (22, 7), (9, 4), (22, 11), (5, 18), (23, 22), (21, 2), (10, 9), (2, 2), (15, 4), (19, 3), (22, 20), (26, 16), (13, 28), (27, 35), (23, 30), (0, 22), (12, 27), (27, 22), (9, 13), (6, 26), (15, 1), (9, 27), (1, 20), (18, 26), (1, 8), (26, 24), (17, 33), (26, 20), (11, 26), (23, 25), (24, 0), (14, 7), (1, 9), (20, 1), (13, 32), (18, 21), (27, 15), (3, 17), (16, 7), (28, 19), (3, 11), (20, 2), (4, 29), (0, 1), (15, 22), (6, 6), (30, 3), (3, 28), (28, 17), (27, 25), (19, 10), (12, 6), (28, 35), (20, 14), (5, 0), (7, 12), (20, 20), (5, 2), (24, 2)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 30x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 28), (5, 13), (15, 10), (7, 33), (15, 32), (8, 19), (21, 8), (14, 33), (26, 17), (14, 29), (24, 31), (10, 13), (23, 1), (10, 4), (26, 34), (3, 1), (13, 3), (4, 8), (28, 12), (6, 31), (6, 34), (24, 22), (28, 21), (15, 36), (25, 27), (24, 9), (11, 6), (11, 26), (26, 12), (10, 32), (13, 21), (15, 21), (16, 9), (26, 10), (22, 35), (26, 7), (0, 29), (8, 11), (7, 5), (10, 28), (6, 15), (26, 33), (6, 37), (4, 12), (20, 8), (4, 22), (18, 1), (6, 26), (5, 15), (2, 13), (8, 10), (28, 0), (17, 22), (12, 27), (19, 4), (26, 36), (4, 2), (23, 26), (1, 21), (21, 20), (17, 17), (28, 28), (12, 29), (0, 21), (23, 15), (1, 4), (9, 36), (26, 35), (10, 14), (8, 34), (18, 14), (21, 31), (2, 15), (28, 33), (25, 31), (14, 26), (1, 8), (20, 30), (24, 20), (9, 3), (7, 37), (14, 36), (16, 22), (8, 16), (3, 12), (29, 7), (19, 3), (22, 34), (5, 4), (4, 16), (20, 2), (27, 8), (24, 10), (24, 29), (11, 34), (5, 0), (27, 26), (17, 19), (12, 13), (17, 2), (11, 32), (12, 35), (11, 29), (29, 15), (2, 3), (26, 14), (18, 5), (6, 32), (18, 11), (13, 32), (7, 13), (12, 34), (6, 30), (26, 1), (24, 8), (18, 21), (15, 28), (10, 6), (13, 19), (26, 22), (11, 0), (1, 3), (2, 28), (12, 4), (6, 29), (27, 28), (7, 35), (21, 14), (25, 4), (8, 4), (14, 13), (5, 9), (8, 35), (23, 25), (23, 3), (9, 16), (6, 11), (25, 19), (19, 26), (13, 29), (2, 10), (23, 33), (19, 11), (22, 6), (8, 31), (15, 3), (2, 4), (21, 18), (4, 20), (7, 27), (20, 20), (29, 1), (28, 2), (9, 22), (1, 29), (20, 26), (10, 26), (16, 34), (0, 24), (15, 2), (15, 5), (25, 29), (29, 30), (24, 2), (12, 12), (22, 25), (15, 15), (25, 10), (29, 33), (26, 2), (1, 22), (4, 21), (7, 12), (6, 16), (26, 32), (11, 14), (13, 4), (17, 32), (3, 16), (18, 33), (19, 16), (23, 22), (8, 20), (7, 15), (29, 31), (13, 35), (10, 24), (15, 29), (1, 25), (14, 28), (23, 17), (8, 28), (4, 4), (25, 23), (20, 10), (28, 19), (12, 7), (16, 31), (14, 32), (12, 22), (14, 30), (16, 18), (28, 35), (15, 19)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x36 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 35), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 11), (15, 34), (20, 18), (3, 21), (8, 34), (13, 21), (1, 14), (9, 15), (9, 14), (12, 5), (19, 22), (16, 1), (1, 30), (14, 35), (4, 8), (12, 27), (10, 34), (26, 31), (3, 24), (26, 27), (25, 24), (17, 35), (7, 1), (29, 21), (9, 4), (6, 6), (19, 9), (17, 9), (21, 9), (10, 30), (6, 11), (18, 23), (7, 28), (16, 21), (22, 26), (14, 7), (3, 13), (21, 18), (28, 6), (20, 34), (4, 15), (17, 34), (18, 31), (18, 22), (11, 26), (5, 26), (20, 1), (2, 22), (5, 0), (9, 28), (13, 29), (16, 29), (5, 32), (10, 22), (30, 1), (28, 4), (22, 30), (27, 13), (25, 35), (7, 4), (15, 26), (0, 29), (7, 34), (21, 30), (17, 7), (17, 25), (6, 7), (1, 28), (14, 3), (16, 12), (25, 19), (19, 0), (28, 32), (2, 33), (26, 15), (17, 32), (28, 27), (30, 9), (23, 35), (8, 12), (14, 30), (13, 16), (11, 30), (26, 0), (11, 22), (1, 8), (3, 17), (13, 0), (30, 18), (30, 11), (18, 14), (24, 24), (12, 0), (13, 9), (19, 13), (9, 11), (7, 25), (24, 7), (27, 21), (21, 21), (19, 10), (11, 15), (10, 28), (21, 25), (14, 19), (12, 30), (10, 32), (10, 2), (13, 17), (1, 20), (22, 10), (12, 34), (17, 14), (12, 9), (11, 28), (21, 10), (7, 3), (22, 35), (28, 30), (24, 10), (4, 34), (22, 18), (24, 26), (6, 28), (28, 23), (4, 20), (30, 12), (21, 1), (24, 14), (3, 11), (0, 8), (20, 26), (8, 16), (1, 33), (26, 34), (28, 13), (8, 14), (4, 30), (24, 25), (21, 4), (28, 29), (30, 34), (5, 29), (12, 1), (3, 16), (28, 17), (27, 9), (28, 2), (14, 5), (8, 7), (12, 26), (1, 25), (16, 26), (14, 8), (20, 13), (4, 14), (10, 23), (13, 4), (19, 6), (27, 28), (8, 26), (21, 31), (3, 23), (18, 34), (17, 10), (22, 22), (15, 17), (17, 11), (19, 21), (28, 34), (5, 1), (7, 20), (3, 14), (26, 10), (25, 26), (22, 17), (10, 11), (2, 19), (21, 28), (9, 16), (6, 23), (21, 16), (20, 24), (25, 34), (17, 21), (30, 15), (1, 27), (6, 12), (10, 14), (23, 20), (11, 1), (29, 22), (12, 3), (1, 29), (27, 6), (22, 33), (27, 30), (18, 1), (15, 19), (6, 16), (18, 25), (14, 15), (8, 22), (18, 19), (13, 34), (20, 33), (29, 2), (5, 30), (17, 29), (11, 2), (0, 5), (11, 23), (2, 26), (19, 1), (23, 1), (6, 34), (17, 19), (7, 11), (4, 27), (0, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 32x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 25), (31, 10), (11, 20), (24, 28), (22, 23), (17, 25), (26, 14), (15, 25), (24, 18), (24, 15), (11, 3), (25, 16), (13, 10), (13, 32), (21, 2), (22, 29), (6, 6), (31, 12), (31, 5), (27, 24), (19, 28), (11, 0), (8, 0), (23, 7), (22, 26), (9, 28), (21, 1), (23, 3), (10, 18), (14, 6), (14, 12), (17, 17), (4, 32), (14, 30), (4, 9), (21, 3), (4, 19), (1, 34), (24, 29), (1, 32), (0, 22), (23, 4), (22, 25), (19, 25), (27, 30), (1, 31), (24, 34), (25, 4), (28, 32), (21, 8), (11, 17), (23, 6), (21, 28), (23, 21), (1, 30), (20, 34), (18, 31), (26, 15), (6, 2), (21, 12), (23, 20), (21, 20), (16, 18), (13, 2), (26, 4), (1, 33), (0, 25), (29, 33), (17, 0), (26, 23), (18, 2), (25, 2), (1, 27), (5, 34), (24, 6), (12, 14), (6, 14), (14, 15), (19, 19), (18, 4), (8, 15), (29, 32), (6, 11), (22, 1), (16, 30), (13, 17), (2, 21), (10, 28), (2, 4), (3, 21), (31, 7), (26, 0), (9, 12), (18, 33), (28, 10), (17, 34), (16, 32), (10, 24), (5, 19), (2, 17), (17, 29), (2, 15), (11, 23), (16, 5), (19, 32), (15, 3), (4, 20), (13, 24), (30, 18), (6, 12), (0, 11), (24, 14), (30, 29), (16, 22), (15, 9), (21, 10), (20, 1), (11, 7), (9, 25), (0, 34), (4, 24), (1, 0), (8, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 34x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (11, 8), (17, 14), (33, 16), (4, 11), (12, 30), (24, 14), (7, 12), (1, 28), (5, 12), (7, 9), (31, 29), (4, 26), (27, 9), (27, 2), (18, 26), (26, 11), (9, 9), (0, 19), (24, 28), (16, 15), (18, 12), (32, 31), (29, 16), (10, 11), (32, 19), (7, 24), (25, 31), (8, 8), (7, 23), (32, 14), (26, 12), (1, 29), (13, 25), (29, 11), (8, 32), (11, 5), (14, 16), (31, 25), (14, 14), (11, 25), (0, 10), (33, 23), (4, 10), (10, 26), (6, 2), (1, 2), (33, 10), (17, 12), (8, 5), (16, 24), (6, 25), (5, 6), (10, 9), (9, 18), (7, 3), (11, 28), (23, 28), (11, 6), (1, 0), (12, 15), (17, 8), (7, 21), (29, 8), (21, 5), (15, 8), (2, 12), (27, 22), (31, 23), (6, 16), (25, 18), (16, 0), (24, 25), (7, 22), (26, 10), (30, 30), (22, 10), (31, 18), (11, 19), (5, 13), (3, 23), (3, 7), (8, 22), (7, 2), (21, 3), (11, 13), (31, 17), (25, 23), (32, 7), (6, 4), (9, 15), (30, 0), (15, 2), (5, 7), (12, 17), (25, 25), (15, 32), (23, 16), (24, 0), (31, 20), (23, 25), (12, 3), (15, 20), (33, 29), (15, 22), (3, 26), (14, 13), (7, 17), (32, 23), (13, 19), (29, 6), (31, 32), (29, 14), (9, 20), (18, 5), (19, 13), (13, 17), (28, 11), (22, 9), (24, 5), (5, 21), (26, 13), (15, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 39x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 25), (14, 15), (4, 12), (1, 0), (33, 6), (8, 29), (5, 14), (1, 3), (33, 32), (10, 13), (24, 2), (22, 0), (29, 32), (8, 13), (35, 24), (30, 19), (0, 21), (27, 25), (15, 33), (2, 23), (19, 2), (17, 4), (23, 16), (14, 12), (3, 30), (24, 16), (32, 27), (17, 25), (6, 17), (3, 25), (10, 1), (13, 7), (5, 5), (31, 18), (2, 14), (5, 11), (19, 11), (32, 10), (22, 27), (26, 18), (34, 11), (19, 14), (12, 28), (23, 15), (20, 2), (28, 24), (22, 23), (12, 18), (34, 6), (10, 8), (35, 19), (16, 20), (18, 33), (4, 21), (31, 11), (31, 8), (33, 19), (30, 32), (29, 33), (12, 4), (8, 10), (6, 26), (30, 27), (15, 15), (8, 19), (25, 7), (15, 7), (16, 2), (2, 20), (24, 15), (24, 24), (35, 31), (11, 29), (16, 18), (24, 30), (26, 15), (35, 10), (24, 26), (31, 19), (24, 19), (5, 28), (7, 30), (28, 3), (12, 9), (29, 6), (27, 19), (1, 14), (35, 6), (20, 10), (37, 0), (35, 30), (5, 6), (29, 11), (3, 17), (23, 23), (32, 1), (0, 33), (6, 19), (1, 9), (17, 5), (29, 31), (16, 1), (23, 8), (25, 27), (28, 1), (7, 25), (21, 13), (5, 27), (5, 9), (9, 12), (9, 29), (6, 25), (0, 11), (11, 5), (36, 21), (0, 29), (23, 1), (38, 29), (31, 1), (30, 9), (24, 8), (11, 19), (15, 31), (20, 12), (6, 6), (13, 30), (4, 2), (13, 23), (16, 33), (1, 21), (12, 15), (19, 30), (16, 0), (37, 26), (31, 15), (8, 15), (28, 20), (35, 20), (28, 0), (5, 1), (7, 29), (24, 5), (0, 6), (13, 28), (18, 25), (3, 28), (19, 7), (9, 4), (35, 17), (2, 17), (25, 18), (6, 14), (14, 22), (6, 11), (36, 31), (24, 9), (37, 33), (36, 32), (28, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 33x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (19, 21), (14, 1), (25, 11), (8, 12), (15, 28), (9, 13), (16, 35), (0, 9), (6, 25), (0, 37), (27, 18), (12, 11), (31, 23), (11, 8), (16, 18), (10, 17), (10, 19), (16, 28), (6, 13), (10, 4), (16, 27), (12, 3), (9, 38), (19, 20), (2, 26), (7, 31), (22, 37), (17, 10), (27, 16), (16, 30), (20, 22), (7, 20), (10, 10), (13, 38), (4, 29), (26, 26), (28, 17), (17, 5), (14, 19), (30, 9), (23, 16), (28, 35), (16, 1), (4, 33), (5, 20), (9, 17), (1, 12), (1, 22), (19, 38), (26, 37), (16, 32), (24, 21), (28, 20), (32, 32), (12, 12), (0, 17), (5, 0), (31, 38), (24, 12), (14, 21), (5, 25), (3, 26), (9, 30), (3, 1), (13, 5), (0, 10), (21, 16), (10, 33), (8, 19), (9, 36), (5, 22), (16, 19), (1, 25), (18, 11), (21, 4), (1, 7), (25, 34), (14, 13), (30, 8), (31, 9), (2, 32), (24, 6), (22, 25), (22, 27), (18, 6), (16, 4), (11, 26), (20, 17), (11, 11), (3, 37), (18, 5), (4, 25), (18, 9), (22, 4), (16, 13), (21, 2), (15, 23), (19, 35), (10, 27), (12, 13), (17, 24), (1, 15), (3, 9), (13, 30), (13, 12), (17, 1), (10, 7), (6, 10), (21, 26), (30, 32), (26, 35), (15, 16), (6, 3), (17, 33), (19, 7), (12, 33), (14, 23), (18, 30), (32, 13), (26, 7), (31, 29), (21, 5), (2, 20), (22, 29), (27, 15), (19, 11), (12, 17), (29, 17), (6, 35), (9, 34)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 33x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (32, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 16), (14, 32), (6, 16), (22, 7), (20, 13), (19, 25), (26, 4), (19, 26), (0, 22), (17, 9), (23, 8), (32, 7), (15, 5), (6, 12), (2, 24), (17, 13), (11, 26), (18, 10), (16, 20), (15, 30), (2, 2), (27, 27), (5, 17), (20, 9), (0, 6), (14, 22), (16, 1), (14, 0), (21, 22), (30, 2), (24, 5), (7, 7), (7, 9), (26, 14), (13, 23), (2, 21), (1, 25), (8, 11), (27, 1), (6, 10), (1, 16), (18, 19), (13, 16), (30, 27), (23, 20), (31, 28), (2, 6), (24, 31), (4, 9), (5, 9), (22, 9), (15, 10), (0, 30), (29, 12), (0, 9), (0, 3), (13, 11), (27, 3), (10, 21), (30, 19), (8, 19), (26, 9), (28, 9), (21, 29), (23, 28), (26, 18), (23, 11), (25, 22), (2, 31), (26, 30), (3, 14), (18, 29), (3, 29), (20, 28), (20, 10), (24, 18), (12, 24), (20, 23), (14, 5), (24, 0), (32, 26), (3, 0), (27, 24), (9, 17), (7, 3), (21, 30), (18, 18), (17, 30), (27, 10), (31, 24), (7, 26), (27, 20), (16, 32), (25, 3), (6, 24), (11, 8), (13, 21), (23, 23), (17, 12), (5, 26), (17, 29), (0, 16), (5, 28), (28, 30), (8, 28), (0, 27), (24, 32), (15, 0), (19, 20), (19, 1), (26, 12), (14, 15), (16, 18), (21, 18), (28, 10), (13, 14), (25, 4), (6, 22), (32, 3), (12, 6), (2, 30), (3, 7), (11, 30), (15, 14), (8, 17), (29, 27), (17, 6), (25, 18), (12, 7), (32, 28), (20, 12), (21, 12), (13, 0), (15, 3), (7, 24), (8, 10), (29, 9), (8, 2), (9, 22), (5, 10), (29, 0), (9, 6), (8, 27), (31, 17), (23, 1), (5, 15), (23, 29), (9, 20), (18, 22), (22, 21), (11, 17), (16, 22), (4, 32)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (24, 20), (17, 5), (18, 22), (16, 2), (9, 16), (2, 18), (13, 10), (13, 4), (13, 2), (35, 15), (7, 7), (10, 7), (21, 8), (18, 27), (12, 28), (7, 5), (8, 1), (28, 2), (0, 3), (21, 5), (32, 1), (34, 13), (13, 31), (2, 24), (16, 5), (35, 5), (32, 27), (16, 3), (21, 4), (10, 9), (5, 16), (5, 15), (25, 7), (7, 14), (32, 16), (1, 7), (9, 11), (10, 32), (33, 12), (21, 25), (30, 18), (33, 3), (2, 22), (30, 12), (0, 17), (28, 33), (32, 2), (6, 17), (14, 6), (3, 19), (6, 30), (5, 13), (2, 31), (8, 5), (30, 20), (34, 24), (35, 17), (23, 0), (23, 3), (31, 5), (13, 20), (24, 34), (21, 13), (14, 30), (32, 21), (17, 10), (17, 1), (7, 6), (26, 11), (13, 24), (10, 13), (21, 10), (31, 16), (3, 23), (5, 27), (20, 30), (27, 27), (8, 31), (16, 32), (33, 13), (2, 28), (25, 34), (25, 28), (2, 33), (11, 10), (17, 22), (24, 6), (5, 19), (0, 6), (15, 32), (0, 27), (24, 11), (5, 12), (29, 7), (23, 26), (35, 24), (35, 13), (9, 5), (17, 25), (23, 20), (26, 29), (12, 31), (2, 23), (12, 25), (27, 5), (32, 6), (8, 19), (34, 28), (19, 19), (6, 13), (7, 19), (22, 28), (2, 19), (7, 25), (25, 29), (21, 22), (1, 16), (6, 7), (24, 7), (20, 1), (26, 28), (27, 1), (3, 10), (11, 26), (33, 34), (2, 6), (26, 5), (21, 23), (22, 10), (3, 20), (15, 8), (4, 11), (4, 34), (9, 32), (10, 15), (33, 10), (5, 24), (33, 1), (3, 26), (6, 31), (31, 21), (16, 19), (23, 13), (2, 14), (33, 4), (15, 13), (32, 24), (7, 21), (14, 31), (32, 29), (19, 11), (33, 29), (25, 25), (4, 17), (1, 10), (23, 31), (28, 28), (2, 11), (35, 1), (1, 15), (4, 10), (11, 15), (18, 9), (15, 19), (29, 28), (22, 9), (24, 18), (8, 4), (4, 2), (11, 12), (23, 16), (3, 18), (29, 5), (6, 24), (22, 25), (7, 28), (28, 34), (5, 4), (14, 21), (9, 24), (34, 1), (27, 29), (29, 29), (26, 18), (14, 19), (22, 17), (10, 2), (0, 18), (20, 2), (9, 18), (32, 34), (1, 1), (10, 19), (26, 25), (15, 26), (24, 17), (27, 17), (24, 28), (31, 19), (27, 16), (26, 12), (4, 21), (23, 23), (34, 9), (24, 21), (5, 17), (30, 6), (12, 14), (29, 10), (7, 13), (26, 34), (26, 9), (33, 9), (20, 20), (17, 19), (30, 28), (1, 20), (19, 5), (31, 13), (19, 4), (8, 27), (9, 8), (22, 26), (28, 25), (32, 33), (20, 4), (23, 1), (27, 25), (4, 18), (23, 12), (20, 26), (20, 31), (35, 33), (26, 31), (15, 18), (33, 14), (34, 31), (5, 33), (32, 28), (17, 14), (29, 15), (19, 30), (24, 32), (8, 0), (28, 27), (35, 16), (18, 32), (0, 26), (29, 17), (35, 3), (34, 4), (0, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "13", "dataset": "MATH"}
{"messages": [{"content": "In a 34x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (33, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 22), (31, 14), (31, 10), (11, 32), (28, 1), (26, 11), (4, 32), (0, 28), (27, 25), (32, 8), (21, 21), (8, 1), (24, 19), (27, 15), (17, 16), (11, 22), (14, 1), (32, 22), (9, 13), (1, 31), (9, 3), (31, 21), (1, 32), (5, 26), (10, 12), (17, 18), (15, 29), (23, 13), (17, 13), (25, 16), (29, 31), (12, 5), (15, 16), (28, 18), (20, 32), (16, 31), (11, 29), (17, 3), (7, 17), (7, 18), (3, 14), (31, 4), (32, 20), (12, 8), (13, 7), (8, 21), (33, 25), (28, 17), (18, 12), (22, 20), (13, 27), (8, 25), (31, 5), (13, 10), (8, 12), (9, 25), (1, 8), (4, 6), (33, 21), (33, 24), (17, 12), (22, 13), (17, 23), (7, 15), (31, 18), (8, 18), (4, 22), (11, 15), (16, 26), (29, 7), (6, 15), (8, 15), (29, 17), (11, 17), (27, 7), (19, 15), (5, 2), (16, 7), (31, 20), (28, 29), (18, 21), (31, 1), (20, 18), (24, 32), (4, 31), (27, 28), (3, 26), (10, 28), (14, 32), (21, 1), (17, 32), (30, 29), (21, 26), (18, 9), (7, 0), (17, 21), (3, 6), (2, 2), (2, 25), (2, 22), (19, 10), (32, 25), (28, 27), (2, 12), (30, 23), (9, 20), (13, 0), (27, 22), (19, 12), (32, 13), (28, 14), (10, 24), (15, 30), (3, 25), (25, 26)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 30x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (1, 26), (16, 27), (9, 21), (16, 29), (0, 12), (6, 16), (18, 13), (16, 18), (22, 16), (29, 34), (28, 27), (18, 16), (6, 28), (4, 6), (4, 1), (0, 25), (19, 22), (14, 9), (20, 10), (3, 26), (21, 16), (13, 6), (19, 31), (12, 11), (4, 29), (7, 15), (11, 34), (12, 36), (28, 12), (15, 30), (6, 10), (5, 20), (25, 22), (15, 23), (29, 10), (13, 17), (18, 28), (24, 25), (1, 11), (27, 1), (9, 9), (27, 27), (3, 3), (11, 16), (0, 19), (27, 6), (14, 18), (13, 35), (20, 21), (21, 27), (4, 15), (18, 6), (11, 29), (10, 6), (13, 13), (9, 18), (19, 35), (7, 36), (6, 7), (3, 19), (26, 30), (12, 16), (17, 30), (15, 32), (17, 18), (17, 25), (10, 34), (26, 34), (15, 20), (29, 33), (16, 8), (11, 30), (5, 27), (26, 35), (8, 34), (29, 6), (1, 30), (25, 28), (21, 4), (10, 35), (12, 9), (13, 5), (0, 35), (11, 14), (12, 12), (13, 23), (13, 36), (6, 1), (9, 23), (20, 26), (29, 15), (27, 14), (21, 11), (1, 3), (12, 18), (9, 12), (1, 19), (22, 4), (13, 10), (28, 34), (17, 9), (22, 6), (17, 4), (11, 8), (18, 17), (0, 9), (16, 36), (14, 3), (21, 36), (12, 27), (29, 14), (25, 27), (9, 30), (14, 4), (28, 28), (22, 28), (26, 31), (10, 5), (20, 16), (17, 29), (6, 12), (21, 25), (10, 2), (15, 3), (8, 26), (2, 1), (14, 31), (8, 35), (19, 7), (19, 11), (13, 30), (17, 21), (28, 24), (5, 33), (17, 2), (8, 30), (20, 27), (2, 13), (4, 31), (8, 4), (29, 13), (9, 2), (16, 33), (7, 7), (6, 8), (28, 5), (7, 24), (7, 3), (1, 14), (17, 28), (29, 2), (26, 11), (28, 35), (17, 33), (20, 1), (5, 13), (24, 11), (22, 22), (24, 22), (16, 7), (14, 6), (18, 8), (17, 22), (23, 2), (22, 25), (10, 24), (8, 13), (15, 29), (20, 6), (11, 36), (20, 4), (26, 27), (16, 13), (5, 11), (16, 2), (5, 23), (21, 7), (25, 20), (8, 23), (19, 15), (2, 34), (29, 23), (23, 36), (19, 33), (22, 17), (15, 14), (25, 36), (25, 15), (17, 34), (15, 31), (2, 33), (8, 1), (10, 26), (0, 30), (14, 19), (25, 23), (20, 35), (29, 21), (24, 4), (28, 22), (26, 19), (8, 22), (4, 33), (8, 20), (27, 10), (11, 24), (0, 23), (28, 9)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 38x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (37, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 8), (26, 26), (25, 27), (17, 19), (17, 17), (31, 25), (31, 15), (13, 21), (35, 2), (10, 5), (35, 15), (17, 9), (25, 1), (5, 28), (0, 2), (32, 13), (22, 22), (3, 25), (3, 12), (12, 14), (8, 19), (7, 11), (31, 17), (18, 5), (14, 6), (26, 22), (1, 8), (29, 10), (25, 5), (34, 26), (9, 18), (20, 18), (14, 2), (8, 8), (26, 2), (15, 1), (32, 29), (27, 2), (20, 17), (18, 14), (3, 10), (11, 6), (15, 5), (22, 0), (22, 19), (21, 1), (27, 12), (11, 25), (4, 10), (36, 29), (12, 8), (35, 4), (1, 19), (15, 8), (36, 6), (6, 10), (31, 12), (6, 24), (0, 18), (27, 7), (14, 8), (18, 26), (23, 28), (23, 1), (20, 6), (6, 22), (7, 7), (0, 12), (24, 21), (27, 4), (17, 2), (13, 15), (4, 3), (16, 4), (3, 22), (16, 14), (11, 5), (10, 22), (13, 19), (32, 26), (27, 6), (5, 29), (32, 22), (11, 1), (1, 20), (25, 21), (11, 17), (0, 3), (20, 23), (36, 16), (30, 4), (5, 4), (19, 11), (23, 17), (1, 21), (27, 8), (4, 24), (7, 10), (29, 8), (34, 6), (31, 11), (13, 5), (8, 22), (26, 15), (27, 10), (21, 26), (15, 3), (0, 22), (16, 26), (28, 23), (24, 1), (22, 5), (15, 27), (18, 10), (19, 29), (37, 12), (1, 17), (35, 11), (30, 12), (16, 8), (20, 5), (28, 5), (17, 15), (13, 11), (32, 16), (2, 13), (24, 0), (17, 4), (9, 6), (5, 6), (12, 4), (29, 25), (18, 24), (15, 11), (2, 26), (30, 9), (26, 28), (23, 12), (26, 5), (20, 2), (0, 21), (9, 11), (4, 20), (33, 24), (25, 10), (7, 18), (37, 23), (1, 18), (31, 16), (37, 24), (6, 15), (1, 23), (22, 23), (2, 3), (25, 23), (8, 21), (21, 15), (36, 18), (19, 22), (25, 14), (5, 14), (22, 17), (1, 2), (16, 16), (31, 13), (21, 6), (17, 0), (7, 4), (7, 16), (22, 26), (16, 0), (4, 11), (29, 28), (29, 19), (0, 26), (17, 25), (28, 4), (5, 13), (7, 27), (27, 24), (22, 28), (29, 1), (31, 19), (12, 7), (18, 13), (35, 13), (32, 7), (34, 16), (21, 29), (17, 23), (7, 20), (10, 10), (24, 8), (7, 14), (24, 6), (16, 20), (11, 16), (19, 25), (14, 23), (3, 11), (19, 10), (36, 0), (29, 3), (32, 1), (37, 19), (0, 5), (27, 9), (1, 7)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 32x30 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 29), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 6), (0, 23), (27, 8), (15, 26), (24, 19), (30, 10), (29, 24), (16, 10), (20, 22), (9, 5), (29, 15), (13, 28), (22, 27), (10, 24), (6, 0), (16, 15), (14, 17), (15, 18), (24, 29), (9, 4), (2, 14), (12, 9), (23, 26), (11, 4), (21, 9), (7, 24), (27, 22), (4, 28), (12, 23), (2, 6), (17, 24), (23, 18), (22, 15), (0, 25), (9, 16), (30, 26), (20, 17), (25, 5), (10, 19), (26, 17), (6, 1), (4, 17), (6, 20), (11, 15), (27, 6), (10, 13), (13, 22), (6, 3), (12, 18), (18, 23), (0, 2), (13, 29), (14, 24), (11, 5), (12, 5), (0, 14), (21, 23), (5, 11), (0, 17), (7, 22), (29, 3), (8, 21), (3, 3), (27, 1), (1, 20), (16, 1), (27, 19), (27, 3), (18, 7), (8, 20), (23, 9), (2, 11), (23, 6), (17, 0), (19, 8), (20, 1), (30, 17), (25, 22), (23, 23), (21, 11), (13, 24), (4, 4), (8, 13), (7, 19), (25, 10), (12, 28), (30, 15), (31, 7), (25, 11), (13, 26), (1, 27), (9, 7), (1, 18), (28, 27), (21, 19), (26, 3), (18, 25), (31, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 37x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (32, 19), (20, 30), (29, 12), (8, 6), (18, 16), (6, 19), (35, 15), (25, 15), (24, 2), (4, 3), (18, 8), (27, 10), (15, 7), (21, 23), (26, 6), (23, 23), (10, 20), (18, 21), (3, 25), (5, 25), (13, 18), (3, 28), (9, 17), (19, 12), (15, 4), (28, 9), (21, 5), (13, 10), (0, 18), (18, 1), (12, 26), (17, 10), (18, 9), (31, 26), (11, 27), (0, 20), (12, 7), (1, 10), (36, 12), (36, 20), (10, 27), (25, 16), (7, 6), (24, 25), (8, 13), (26, 24), (31, 17), (9, 3), (0, 16), (30, 15), (8, 24), (8, 7), (28, 27), (35, 16), (19, 11), (16, 16), (7, 20), (26, 21), (0, 7), (16, 23), (21, 20), (18, 6), (32, 3), (12, 21), (8, 19), (20, 21), (31, 9), (23, 10), (16, 5), (15, 3), (0, 17), (27, 21), (28, 14), (18, 18), (11, 20), (1, 11), (19, 28), (1, 6), (6, 23), (10, 3), (16, 9), (27, 29), (2, 23), (28, 1), (36, 6), (33, 22), (9, 6), (29, 30), (21, 4), (36, 22), (32, 20), (26, 29), (22, 8), (1, 20), (8, 26), (7, 10), (5, 8), (31, 28), (2, 13), (26, 30), (29, 28), (17, 20), (27, 2), (10, 13), (19, 7), (14, 8), (11, 17), (3, 10), (26, 17), (28, 21), (29, 10), (16, 11), (12, 25), (27, 15), (9, 23), (2, 29), (28, 2), (24, 13), (14, 12), (21, 19), (24, 28), (28, 7), (25, 4), (27, 17), (36, 26), (19, 16), (20, 7), (11, 29)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "In a 37x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (20, 21), (9, 1), (12, 3), (25, 21), (6, 14), (24, 2), (36, 21), (26, 15), (13, 0), (18, 31), (19, 4), (0, 1), (34, 24), (6, 23), (30, 19), (35, 10), (4, 27), (20, 20), (34, 31), (10, 22), (22, 31), (0, 13), (23, 6), (33, 24), (19, 31), (23, 5), (2, 16), (34, 29), (13, 16), (15, 24), (27, 7), (20, 23), (36, 24), (27, 2), (21, 10), (23, 21), (19, 20), (27, 3), (16, 19), (1, 25), (34, 0), (23, 24), (33, 19), (2, 26), (11, 4), (8, 12), (9, 20), (35, 14), (15, 21), (12, 27), (29, 17), (28, 23), (21, 0), (5, 11), (16, 23), (14, 27), (20, 7), (24, 17), (19, 13), (6, 11), (10, 5), (3, 4), (18, 10), (18, 25), (4, 14), (31, 15), (9, 2), (21, 9), (14, 26), (8, 14), (2, 0), (19, 15), (27, 26), (9, 30), (35, 3), (4, 30), (30, 12), (20, 13), (7, 26), (36, 1), (0, 15), (31, 22), (22, 25), (3, 28), (23, 10), (28, 24), (27, 30), (30, 28), (29, 15), (0, 14), (17, 12), (24, 31), (26, 2), (8, 11), (31, 0), (10, 12), (35, 9), (11, 24), (11, 26), (25, 10), (17, 31), (28, 29), (28, 12), (36, 26), (11, 25), (23, 12), (28, 1), (15, 0), (13, 26), (11, 10), (0, 24), (36, 15), (23, 4), (30, 18), (8, 27), (28, 14), (5, 20), (20, 15), (7, 22), (2, 12), (30, 0), (12, 13), (21, 29), (22, 26), (23, 25), (35, 12), (35, 16), (34, 23), (18, 1), (26, 6), (28, 30), (23, 3), (22, 9), (24, 6), (33, 8), (22, 18), (29, 22), (19, 21), (33, 12), (17, 3), (13, 5), (36, 4), (7, 25), (23, 28), (19, 24), (14, 8), (18, 12), (22, 27), (7, 4), (22, 30), (10, 28), (9, 28), (4, 11), (12, 5), (4, 28), (35, 17), (12, 29), (30, 7), (33, 16), (2, 28), (8, 10), (15, 26), (25, 25), (23, 14), (18, 17), (34, 20), (17, 22), (25, 29), (29, 9), (18, 14), (15, 10), (13, 3), (10, 15), (22, 14), (31, 16), (17, 24), (17, 14), (26, 9), (32, 4), (35, 21), (27, 22), (20, 5), (1, 11), (0, 5), (35, 29), (17, 9), (21, 17), (12, 15), (24, 14), (10, 24), (28, 9), (24, 19), (9, 19), (2, 10), (8, 4), (31, 21), (28, 0), (31, 10), (31, 5), (11, 21), (6, 6), (30, 26), (17, 10)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 30x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (23, 22), (23, 21), (6, 12), (13, 16), (20, 24), (28, 21), (0, 32), (9, 3), (21, 17), (3, 8), (26, 17), (10, 25), (12, 13), (3, 10), (15, 27), (1, 16), (24, 34), (12, 28), (5, 24), (0, 33), (24, 22), (0, 30), (27, 10), (14, 11), (25, 30), (6, 30), (24, 4), (13, 20), (29, 11), (3, 29), (23, 17), (16, 30), (12, 21), (14, 19), (18, 21), (28, 25), (12, 14), (29, 15), (28, 26), (25, 29), (22, 28), (14, 32), (7, 21), (4, 8), (12, 34), (18, 1), (7, 7), (22, 2), (27, 21), (13, 26), (19, 1), (26, 12), (17, 25), (8, 21), (22, 7), (23, 20), (3, 6), (19, 15), (5, 4), (23, 6), (19, 24), (28, 24), (4, 10), (6, 18), (7, 0), (21, 22), (20, 26), (23, 33), (27, 1), (9, 27), (18, 12), (6, 27), (26, 11), (15, 32), (15, 34), (22, 5), (22, 4), (1, 29), (19, 8), (20, 12), (18, 7), (26, 19), (25, 10), (14, 3), (14, 16), (14, 1), (29, 19), (21, 21), (23, 23), (7, 32), (12, 26), (13, 25), (20, 33), (22, 30), (18, 11), (17, 8), (5, 25), (26, 15), (23, 19), (3, 7), (5, 10), (15, 18), (9, 0), (6, 2), (3, 3), (0, 14), (17, 30), (3, 1), (3, 28), (20, 1), (12, 24), (19, 19), (27, 0), (27, 11), (9, 20), (25, 28), (19, 5), (19, 32), (11, 19), (21, 30), (19, 33), (25, 15), (16, 13), (11, 9), (0, 9), (15, 25), (8, 16), (3, 2), (22, 27), (26, 20), (10, 9), (18, 31), (1, 14), (17, 17), (2, 18), (13, 9), (4, 14), (21, 2), (4, 34), (3, 14), (9, 8), (15, 12), (5, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "7", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (15, 15), (9, 29), (8, 17), (0, 27), (20, 15), (22, 15), (23, 13), (28, 15), (18, 15), (7, 18), (3, 8), (27, 17), (21, 19), (14, 2), (4, 7), (2, 18), (26, 12), (28, 12), (17, 26), (20, 18), (16, 11), (5, 5), (18, 17), (4, 15), (15, 18), (23, 4), (22, 14), (23, 2), (5, 10), (6, 30), (11, 1), (22, 24), (7, 30), (6, 16), (20, 10), (13, 30), (10, 3), (3, 15), (12, 11), (0, 9), (19, 9), (11, 20), (27, 25), (16, 23), (20, 22), (14, 28), (4, 1), (13, 9), (14, 6), (2, 17), (10, 28), (1, 14), (12, 17), (24, 19), (27, 24), (10, 14), (12, 3), (29, 12), (24, 21), (7, 15), (23, 21), (29, 0), (9, 14), (14, 11), (29, 21), (26, 24), (11, 30), (20, 13), (0, 18), (4, 22), (10, 30), (21, 7), (9, 19), (12, 13), (25, 0), (3, 28), (5, 21), (25, 29), (22, 9), (1, 13), (21, 23), (11, 13), (9, 25), (13, 26), (19, 20), (12, 10), (13, 10), (15, 4), (12, 19), (8, 29), (21, 2), (4, 29), (6, 3), (3, 25), (29, 24), (17, 7), (23, 12), (28, 0), (17, 30), (26, 17), (4, 9), (10, 21), (0, 28), (25, 21), (11, 14), (3, 1), (4, 10), (28, 21)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (8, 23), (11, 7), (18, 4), (9, 10), (16, 5), (26, 17), (30, 19), (26, 28), (15, 27), (21, 24), (27, 3), (14, 0), (0, 5), (16, 24), (11, 5), (15, 28), (6, 21), (27, 19), (2, 29), (1, 27), (1, 17), (5, 24), (18, 15), (0, 26), (18, 20), (19, 14), (3, 29), (7, 22), (16, 4), (15, 3), (21, 13), (19, 9), (27, 18), (29, 7), (7, 4), (25, 28), (29, 16), (14, 30), (22, 3), (18, 10), (23, 26), (0, 11), (4, 9), (0, 12), (11, 11), (17, 28), (22, 18), (0, 27), (12, 29), (0, 24), (29, 0), (10, 22), (22, 6), (13, 7), (16, 25), (5, 28), (15, 8), (29, 20), (24, 30), (30, 25), (16, 16), (20, 27), (8, 21), (30, 13), (25, 22), (8, 22), (5, 27), (3, 4), (18, 12), (25, 0), (4, 4), (1, 1), (19, 27), (22, 7), (17, 13), (22, 1), (12, 26), (28, 13), (10, 4), (14, 18), (28, 0), (17, 11), (22, 11), (24, 8), (9, 28), (15, 23), (4, 22), (5, 2), (10, 17), (13, 0), (0, 8), (7, 24), (29, 2), (0, 22), (25, 30), (25, 1), (24, 2), (16, 3), (30, 0), (26, 29), (4, 18), (22, 8), (24, 25), (11, 18), (20, 6), (19, 24), (8, 19), (13, 3), (19, 28), (24, 14), (0, 23), (24, 10), (13, 16), (4, 20), (2, 19), (24, 6), (6, 0), (11, 3), (10, 1), (14, 5), (10, 2), (11, 22), (2, 5), (3, 1), (7, 29), (7, 19), (30, 10), (9, 27), (17, 15), (30, 4), (15, 26), (26, 8), (26, 25), (21, 14), (12, 7), (2, 4), (17, 26), (23, 1), (11, 9), (11, 13), (9, 1), (25, 17), (2, 24), (28, 19), (19, 2), (10, 6), (23, 5), (15, 5), (18, 3), (7, 9), (26, 5), (27, 9), (18, 27), (19, 6), (21, 26), (10, 18), (1, 29), (12, 4), (12, 23), (16, 28), (0, 6), (18, 8), (14, 16), (20, 19), (2, 23), (25, 24), (29, 23), (23, 29), (8, 4), (13, 11), (18, 5), (1, 16), (26, 9), (13, 18), (15, 14), (30, 3), (2, 2), (17, 30), (30, 17), (10, 7), (9, 11), (23, 15), (4, 0), (30, 18), (14, 25), (22, 14), (29, 25), (14, 29), (10, 24), (25, 5), (23, 7), (29, 1)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x38 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 37), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (13, 33), (25, 5), (21, 28), (12, 11), (7, 30), (32, 20), (28, 29), (10, 9), (13, 19), (22, 0), (0, 24), (6, 4), (19, 22), (20, 0), (26, 3), (23, 24), (13, 4), (31, 19), (26, 32), (15, 21), (11, 31), (19, 13), (14, 26), (19, 28), (5, 17), (28, 11), (6, 19), (11, 19), (10, 24), (5, 9), (3, 28), (1, 30), (16, 24), (31, 35), (6, 36), (10, 1), (4, 14), (13, 32), (29, 10), (34, 7), (35, 4), (20, 11), (4, 6), (8, 35), (32, 16), (28, 10), (8, 11), (32, 14), (18, 18), (2, 35), (19, 23), (7, 9), (1, 27), (4, 10), (11, 27), (10, 23), (26, 23), (33, 33), (24, 0), (16, 4), (32, 36), (2, 12), (30, 24), (6, 24), (28, 35), (26, 30), (20, 21), (8, 30), (32, 24), (1, 7), (14, 7), (1, 4), (7, 20), (29, 4), (33, 10), (29, 16), (6, 27), (1, 33), (21, 35), (31, 23), (29, 5), (34, 12), (4, 29), (9, 8), (32, 0), (0, 32), (4, 33), (9, 36), (27, 15), (24, 36), (18, 7), (4, 11), (15, 36), (19, 3), (7, 14), (24, 14), (9, 26), (17, 25), (29, 18), (21, 12), (0, 31), (7, 17), (22, 2), (15, 6), (16, 37), (26, 9), (0, 2), (13, 34), (32, 26), (3, 12), (24, 20), (31, 4), (17, 1), (9, 16), (26, 12), (13, 2), (25, 25), (4, 3), (1, 17), (27, 32), (7, 25), (28, 31), (18, 29), (30, 25), (1, 31), (5, 29), (21, 11), (22, 34), (23, 36), (27, 17), (16, 19), (16, 15), (28, 17), (29, 8), (31, 16), (33, 23), (13, 14), (25, 10), (29, 23), (21, 33), (23, 9), (16, 7), (27, 11), (20, 25), (20, 10), (33, 31), (1, 1), (29, 19), (20, 7), (3, 17), (22, 33), (27, 21), (35, 29), (2, 2), (18, 33), (22, 9), (6, 31), (19, 15), (7, 4), (0, 34), (3, 14), (8, 32), (31, 18), (0, 6), (34, 24), (2, 17), (5, 33), (29, 22), (33, 2), (2, 8), (30, 10), (10, 18), (5, 0), (15, 1), (7, 12), (6, 1), (15, 5), (16, 34), (3, 35), (32, 34), (2, 21), (34, 28), (17, 3), (28, 33), (15, 22), (24, 33)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "9", "dataset": "MATH"}
{"messages": [{"content": "In a 31x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 32), (12, 28), (3, 25), (2, 2), (7, 28), (28, 12), (21, 13), (22, 18), (7, 19), (4, 21), (16, 27), (26, 12), (15, 27), (9, 6), (24, 1), (8, 24), (9, 30), (0, 28), (28, 14), (28, 31), (24, 27), (3, 15), (18, 27), (6, 12), (27, 5), (20, 27), (5, 26), (4, 14), (24, 2), (14, 26), (27, 4), (13, 4), (12, 10), (28, 32), (26, 17), (6, 20), (15, 21), (8, 28), (15, 30), (24, 18), (29, 26), (3, 13), (23, 25), (21, 27), (10, 7), (16, 18), (22, 30), (2, 4), (26, 11), (21, 10), (10, 9), (22, 21), (7, 2), (28, 4), (20, 16), (7, 24), (22, 11), (30, 9), (17, 7), (6, 19), (14, 21), (3, 29), (21, 25), (13, 13), (25, 3), (18, 24), (4, 12), (30, 23), (27, 24), (13, 20), (18, 23), (7, 12), (8, 9), (10, 16), (30, 7), (18, 6), (28, 27), (21, 32), (27, 27), (15, 11), (19, 1), (26, 15), (3, 7), (26, 27), (24, 6), (4, 22), (2, 3), (18, 22), (8, 3), (4, 13), (4, 3), (18, 21), (18, 28), (14, 10), (10, 31), (29, 27), (26, 25), (30, 29), (21, 15), (1, 15), (16, 28), (19, 26), (6, 26), (14, 17), (1, 14), (22, 7), (13, 6), (14, 7), (24, 21), (20, 28)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 39x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (3, 9), (7, 25), (16, 4), (18, 5), (8, 30), (34, 7), (11, 34), (16, 2), (19, 6), (19, 31), (20, 32), (9, 30), (9, 3), (35, 37), (36, 23), (24, 22), (20, 18), (5, 34), (7, 27), (10, 31), (23, 28), (32, 13), (19, 15), (24, 36), (29, 19), (27, 22), (23, 26), (27, 21), (16, 36), (27, 37), (0, 17), (28, 32), (11, 21), (18, 1), (5, 37), (22, 18), (5, 11), (11, 36), (24, 13), (11, 32), (10, 3), (24, 12), (37, 9), (20, 15), (8, 3), (8, 5), (23, 12), (18, 27), (11, 13), (38, 30), (3, 23), (24, 30), (5, 28), (1, 38), (18, 4), (9, 9), (2, 16), (10, 29), (17, 29), (30, 17), (10, 23), (38, 7), (26, 22), (27, 18), (33, 6), (30, 19), (27, 5), (1, 10), (16, 11), (25, 5), (27, 2), (26, 32), (18, 22), (31, 16), (17, 18), (23, 38), (14, 13), (28, 26), (37, 10), (19, 9), (11, 16), (29, 13), (18, 24), (16, 7), (34, 28), (6, 36), (11, 26), (4, 3), (36, 1), (28, 21), (19, 2), (11, 22), (38, 19), (32, 33), (34, 25), (3, 0), (33, 18), (22, 34), (28, 19), (1, 5), (23, 5), (7, 14), (9, 7), (29, 5), (15, 26), (2, 35), (37, 27), (20, 2), (4, 28), (22, 33), (28, 0), (9, 24), (1, 31), (34, 35), (20, 38), (26, 37), (6, 17), (20, 19), (18, 2), (10, 37), (5, 5), (4, 20), (37, 22), (6, 31), (38, 2), (1, 0), (16, 30), (13, 28), (12, 17), (20, 4), (0, 32), (19, 12), (10, 30), (2, 31), (33, 9), (35, 13), (1, 16), (33, 2), (0, 31), (29, 9), (9, 25), (32, 37), (35, 11), (22, 19), (23, 24), (5, 3), (10, 25), (19, 3), (16, 22), (5, 21), (14, 18), (5, 0), (1, 7), (28, 15), (7, 18), (14, 1), (28, 31), (21, 14), (29, 24), (6, 25), (1, 34), (26, 26), (32, 22), (16, 32), (38, 34), (29, 33), (5, 17), (13, 26), (26, 11), (14, 21), (8, 22), (12, 14), (5, 15), (33, 26), (33, 20), (26, 27), (17, 31), (0, 9), (37, 23), (35, 23), (13, 30), (4, 6), (14, 8), (29, 35), (30, 3), (4, 25), (33, 14), (31, 33), (26, 33), (10, 35), (4, 2), (21, 26), (33, 15), (9, 29), (23, 25), (22, 24), (35, 30), (17, 28), (5, 25), (25, 13), (8, 38), (30, 10), (15, 30), (8, 1), (19, 21), (28, 34), (38, 25), (2, 12), (6, 20), (10, 32), (16, 17), (12, 27), (0, 11), (3, 15), (31, 19), (12, 2), (23, 3), (10, 34), (18, 25), (24, 10), (33, 31), (4, 14), (3, 8), (5, 2), (18, 26), (34, 34), (1, 20), (33, 35), (13, 6), (9, 28), (34, 8), (35, 26), (24, 19), (8, 33), (5, 6), (35, 3), (23, 14), (26, 4), (8, 6), (34, 17), (12, 24), (20, 29), (10, 15), (28, 18), (6, 6), (15, 35), (8, 20), (11, 12), (36, 14)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 31x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 27), (15, 13), (30, 5), (6, 28), (7, 24), (21, 18), (26, 28), (10, 32), (16, 4), (22, 15), (4, 27), (26, 2), (21, 9), (15, 4), (23, 30), (28, 28), (26, 14), (8, 28), (0, 23), (8, 5), (30, 33), (23, 32), (15, 6), (14, 23), (23, 7), (7, 4), (24, 23), (10, 17), (16, 14), (25, 13), (21, 16), (22, 1), (29, 32), (20, 23), (18, 1), (8, 3), (16, 26), (16, 23), (23, 19), (6, 23), (18, 34), (13, 9), (19, 7), (21, 8), (10, 13), (17, 30), (21, 23), (22, 27), (22, 34), (17, 3), (15, 32), (29, 0), (6, 33), (30, 12), (28, 24), (0, 16), (13, 21), (5, 1), (18, 2), (1, 30), (30, 7), (9, 29), (27, 3), (20, 13), (8, 23), (10, 5), (24, 26), (1, 21), (15, 27), (16, 13), (18, 6), (20, 1), (1, 18), (11, 21), (1, 31), (2, 9), (5, 30), (28, 27), (10, 34), (13, 23), (16, 12), (0, 25), (9, 4), (7, 16), (12, 13), (2, 6), (23, 22), (25, 23), (3, 5), (20, 10), (12, 20), (16, 16), (25, 4), (10, 16), (20, 18), (4, 19), (21, 10), (27, 12), (2, 5), (3, 3), (5, 29), (29, 27), (0, 1), (1, 7), (5, 15), (8, 11), (22, 29), (8, 21), (22, 3), (24, 25), (18, 30), (6, 21), (12, 25), (4, 22), (21, 25), (10, 1), (2, 16), (6, 9), (9, 12), (30, 24), (19, 13), (30, 14), (25, 25), (7, 15)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "5", "dataset": "MATH"}
{"messages": [{"content": "In a 31x32 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (30, 31), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (6, 7), (4, 17), (5, 24), (5, 12), (12, 23), (1, 27), (29, 2), (18, 11), (0, 5), (23, 23), (25, 1), (26, 19), (21, 3), (12, 28), (17, 9), (30, 21), (21, 28), (9, 8), (12, 29), (2, 23), (3, 9), (20, 30), (7, 25), (24, 11), (30, 20), (25, 30), (12, 16), (28, 5), (1, 0), (3, 21), (1, 28), (22, 15), (22, 4), (19, 31), (4, 20), (23, 26), (11, 3), (29, 13), (15, 28), (14, 20), (0, 25), (17, 13), (15, 22), (2, 26), (13, 22), (23, 24), (15, 13), (6, 6), (13, 17), (20, 10), (26, 22), (12, 0), (26, 21), (30, 3), (30, 14), (22, 31), (14, 0), (27, 24), (19, 14), (23, 6), (11, 1), (19, 8), (5, 27), (19, 5), (18, 16), (14, 1), (5, 4), (18, 14), (5, 3), (21, 19), (20, 21), (18, 9), (11, 0), (24, 10), (23, 20), (9, 18), (1, 19), (1, 9), (21, 15), (25, 5), (30, 15), (3, 24), (14, 26), (24, 24), (25, 25), (25, 31), (1, 8), (7, 0), (21, 24), (23, 3), (2, 28), (10, 7), (5, 18), (1, 10), (19, 19), (15, 31), (17, 14), (11, 29), (26, 18), (23, 7), (16, 2), (11, 4), (23, 15), (0, 12), (27, 4), (14, 9), (4, 4), (8, 27), (27, 11), (28, 11), (12, 24), (0, 30), (20, 0), (1, 29), (18, 4), (4, 7), (24, 0), (15, 3), (5, 19), (3, 28), (14, 5), (25, 24), (20, 26), (15, 25), (13, 24), (6, 4), (8, 4), (7, 5), (6, 31), (3, 23), (18, 23), (4, 5), (28, 23), (6, 9), (3, 4), (5, 10), (1, 12), (30, 27), (18, 2), (12, 25), (15, 29), (20, 9), (15, 7), (17, 7), (19, 27), (20, 22), (12, 3), (1, 7), (2, 12), (2, 16), (18, 24), (17, 1), (10, 8), (26, 5), (9, 25), (7, 17), (16, 20), (25, 16), (30, 16), (27, 0), (14, 27), (1, 16), (9, 27), (28, 24), (13, 1), (0, 18), (20, 13), (25, 3), (23, 21), (8, 20), (12, 6), (1, 5), (3, 13), (26, 3), (24, 27), (13, 14), (9, 10), (1, 1), (26, 12), (16, 1), (6, 26), (23, 8), (10, 21), (9, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 36x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (35, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (21, 8), (35, 19), (27, 10), (25, 16), (32, 14), (22, 3), (29, 31), (22, 4), (30, 0), (26, 13), (29, 35), (8, 27), (26, 10), (20, 18), (35, 5), (22, 33), (23, 37), (19, 34), (0, 25), (13, 0), (20, 5), (25, 18), (11, 33), (22, 15), (23, 16), (33, 0), (8, 3), (34, 11), (30, 7), (24, 33), (23, 3), (20, 35), (10, 5), (18, 24), (23, 15), (30, 6), (1, 26), (34, 16), (28, 28), (12, 36), (7, 33), (0, 1), (9, 11), (16, 1), (17, 23), (28, 12), (15, 7), (31, 13), (6, 32), (22, 24), (15, 15), (15, 29), (0, 21), (16, 13), (9, 37), (27, 30), (7, 26), (13, 4), (27, 19), (8, 20), (2, 8), (21, 34), (20, 25), (1, 27), (34, 3), (4, 23), (21, 24), (23, 21), (29, 28), (19, 14), (17, 12), (32, 37), (24, 10), (25, 33), (21, 16), (21, 5), (29, 18), (19, 29), (14, 17), (29, 36), (29, 24), (16, 15), (35, 14), (18, 20), (33, 11), (13, 12), (23, 33), (29, 5), (22, 31), (3, 18), (35, 12), (32, 16), (6, 28), (32, 4), (0, 33), (1, 17), (9, 33), (8, 37), (6, 31), (24, 6), (17, 14), (20, 14), (3, 5), (22, 18), (27, 34), (23, 20), (7, 11), (6, 10), (25, 7), (31, 18), (20, 37), (11, 14), (12, 17), (19, 3), (0, 31), (34, 10), (32, 27), (24, 29), (8, 26), (2, 20), (4, 28), (4, 18), (17, 13), (17, 33), (34, 7), (22, 14), (25, 4), (21, 6), (27, 3), (18, 14), (16, 8), (27, 32), (12, 37), (26, 15), (31, 3), (13, 33), (11, 7), (23, 35), (15, 38), (15, 25), (32, 19), (0, 16), (0, 14), (34, 33), (26, 24), (22, 30), (35, 29), (13, 8), (14, 18), (34, 38), (4, 12), (20, 38), (10, 37), (0, 32), (24, 22), (15, 17), (24, 20), (34, 9), (4, 13)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 32x37 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (31, 36), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (5, 25), (2, 30), (9, 32), (30, 24), (22, 34), (0, 35), (1, 0), (21, 34), (6, 31), (28, 7), (17, 33), (12, 4), (3, 23), (9, 4), (22, 15), (22, 19), (8, 6), (27, 12), (17, 23), (12, 34), (3, 15), (9, 25), (3, 4), (14, 29), (8, 9), (6, 29), (29, 9), (16, 8), (24, 26), (17, 17), (2, 3), (13, 9), (12, 15), (14, 14), (6, 16), (29, 32), (22, 11), (20, 0), (14, 27), (13, 7), (26, 28), (4, 24), (31, 10), (4, 15), (15, 26), (3, 9), (27, 0), (15, 19), (10, 16), (29, 17), (4, 20), (21, 29), (19, 28), (10, 24), (26, 24), (6, 22), (28, 13), (4, 30), (21, 21), (1, 26), (17, 16), (16, 17), (5, 18), (8, 1), (6, 32), (18, 21), (4, 14), (24, 16), (24, 6), (7, 34), (20, 17), (30, 35), (31, 28), (18, 3), (29, 24), (14, 5), (17, 19), (6, 17), (0, 19), (13, 5), (17, 13), (8, 7), (12, 25), (2, 6), (23, 29), (30, 0), (5, 28), (11, 13), (3, 25), (11, 33), (22, 7), (28, 34), (30, 31), (25, 26), (26, 0), (17, 14), (4, 5), (21, 12), (9, 10), (24, 28), (1, 34), (11, 4), (10, 29), (7, 31), (7, 8), (12, 7), (0, 34), (5, 9), (19, 30), (22, 2), (22, 10), (4, 21), (29, 28), (12, 11), (11, 3), (25, 5), (27, 32), (21, 3), (0, 22), (13, 36), (23, 7), (3, 11), (6, 33), (22, 32), (13, 8), (9, 30), (12, 23), (7, 29), (11, 36), (26, 2), (7, 17), (22, 21), (3, 3), (3, 21), (25, 21), (16, 33), (15, 18), (27, 23), (10, 0), (13, 10), (22, 30), (31, 17), (1, 29), (20, 22), (7, 19), (11, 26), (9, 33), (21, 20), (20, 2), (1, 36), (25, 19), (10, 22), (28, 14), (11, 35), (9, 8), (0, 25), (21, 10), (1, 20), (26, 11), (20, 6), (12, 10), (24, 31), (29, 4), (1, 27), (3, 1), (23, 26), (18, 25), (30, 13), (0, 8), (27, 20), (2, 24), (18, 34), (20, 27), (1, 21), (3, 16), (17, 5), (20, 5), (9, 18), (3, 17), (18, 5), (15, 20), (31, 12), (8, 20), (5, 19), (7, 10), (3, 19), (21, 5), (13, 28), (10, 30), (15, 36), (5, 35), (31, 30), (7, 11), (16, 6), (13, 0), (29, 2), (0, 26), (28, 28), (29, 6), (7, 0), (24, 10), (0, 31), (7, 20), (16, 14), (13, 27), (5, 22), (28, 5), (27, 2), (18, 31), (18, 24), (7, 9), (13, 30)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 39x39 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 38), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (37, 24), (16, 34), (15, 20), (29, 1), (12, 25), (3, 6), (13, 14), (11, 10), (26, 9), (14, 38), (9, 19), (26, 31), (25, 34), (9, 12), (20, 31), (28, 23), (14, 32), (7, 20), (30, 6), (0, 29), (30, 8), (4, 8), (13, 1), (34, 28), (14, 24), (15, 30), (7, 9), (35, 2), (24, 1), (15, 26), (32, 5), (9, 25), (23, 21), (18, 21), (29, 25), (20, 11), (26, 32), (3, 32), (19, 4), (37, 32), (17, 1), (29, 0), (34, 19), (35, 23), (5, 16), (28, 34), (1, 0), (8, 34), (10, 5), (26, 30), (9, 17), (38, 36), (38, 0), (36, 17), (1, 34), (6, 33), (18, 20), (33, 11), (33, 0), (16, 38), (1, 23), (4, 18), (36, 36), (16, 33), (32, 1), (21, 24), (6, 35), (25, 18), (33, 1), (8, 38), (16, 30), (9, 32), (21, 7), (35, 12), (18, 11), (10, 27), (2, 7), (22, 33), (18, 29), (17, 15), (7, 8), (29, 29), (26, 3), (15, 32), (16, 3), (30, 14), (8, 25), (14, 34), (21, 35), (24, 18), (4, 22), (15, 3), (37, 6), (23, 32), (30, 36), (11, 0), (37, 26), (28, 26), (30, 16), (33, 8), (38, 7), (31, 29), (6, 30), (3, 13), (3, 31), (11, 11), (19, 8), (37, 37), (7, 10), (24, 28), (9, 36), (24, 11), (11, 14), (32, 38), (27, 0), (33, 7), (38, 9), (29, 23), (18, 0), (36, 19), (30, 30), (18, 22), (30, 27), (14, 28), (2, 23), (32, 33), (29, 6), (9, 9), (10, 34), (2, 13), (15, 7), (36, 37), (6, 16), (33, 21), (8, 32), (33, 35), (13, 19), (9, 10), (21, 21), (5, 28), (17, 27), (11, 15), (21, 9), (8, 11), (34, 35), (2, 2), (17, 4), (35, 37), (11, 26), (9, 38), (25, 33), (22, 20), (37, 3), (23, 38), (32, 24), (28, 13), (23, 4), (6, 5), (6, 34), (7, 0), (30, 3), (7, 5), (4, 7), (37, 9), (34, 31), (26, 28), (15, 1), (25, 29), (7, 36), (20, 35), (7, 32), (33, 33), (30, 0), (26, 4), (21, 6), (23, 5), (27, 1), (7, 11), (19, 19), (11, 23), (12, 33), (22, 38), (5, 20), (5, 34), (18, 5), (32, 4), (11, 30), (21, 1), (29, 37), (16, 6), (20, 20), (3, 34), (26, 10), (14, 9), (0, 22)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 39x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (38, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (12, 19), (3, 31), (13, 24), (5, 1), (4, 31), (9, 10), (22, 6), (36, 29), (20, 29), (19, 16), (23, 33), (34, 23), (29, 2), (34, 34), (29, 18), (31, 6), (37, 15), (10, 33), (20, 6), (36, 26), (30, 28), (20, 0), (6, 13), (6, 22), (10, 25), (37, 22), (15, 29), (7, 3), (13, 31), (37, 1), (22, 26), (29, 9), (24, 0), (34, 1), (6, 5), (0, 17), (23, 8), (37, 12), (13, 4), (15, 14), (19, 25), (20, 20), (10, 9), (32, 1), (31, 31), (4, 30), (3, 5), (5, 6), (21, 32), (4, 28), (28, 4), (24, 7), (34, 28), (10, 8), (13, 32), (36, 28), (0, 21), (25, 12), (22, 10), (2, 34), (32, 34), (20, 33), (21, 21), (33, 18), (11, 14), (33, 1), (21, 12), (19, 26), (7, 16), (22, 5), (6, 6), (37, 21), (38, 13), (28, 0), (8, 27), (11, 27), (34, 14), (37, 26), (37, 6), (38, 32), (10, 3), (19, 23), (12, 34), (16, 13), (38, 19), (6, 28), (32, 15), (11, 1), (14, 11), (13, 21), (26, 22), (0, 6), (0, 5), (17, 9), (11, 11), (32, 4), (0, 10), (33, 13), (9, 3), (28, 7), (12, 26), (33, 30), (26, 0), (9, 12), (18, 20), (14, 34), (4, 10), (6, 33), (29, 12), (28, 19), (18, 12), (29, 4), (25, 7), (19, 9), (21, 20), (30, 19), (37, 23), (2, 19), (38, 10), (32, 11), (3, 9), (24, 24), (26, 2), (15, 24), (7, 17), (27, 8), (36, 17), (14, 26), (27, 23), (15, 12), (3, 1), (3, 19), (17, 11), (28, 9), (6, 4), (26, 14), (36, 4), (17, 15), (26, 4), (35, 20), (4, 15), (15, 15), (31, 23), (9, 16), (4, 25), (11, 17), (3, 6), (27, 6), (1, 17), (33, 6), (34, 19), (16, 10), (32, 33), (28, 6), (18, 23), (8, 31), (28, 28), (35, 6), (19, 3), (22, 19), (6, 18), (16, 29), (18, 15), (30, 14), (26, 11), (7, 32), (19, 12), (22, 2), (15, 20), (2, 11), (28, 15), (32, 18), (18, 25), (4, 34), (23, 4), (11, 8), (8, 16), (3, 22), (18, 10), (4, 26), (1, 21), (14, 29), (38, 31), (37, 19), (38, 14), (5, 23), (23, 19), (1, 9), (15, 3), (35, 18), (22, 1), (29, 27), (20, 32), (10, 21), (14, 30), (16, 22), (11, 24), (26, 33), (15, 9), (32, 20), (16, 15), (25, 22), (23, 21), (23, 17), (18, 7), (8, 32), (29, 17), (16, 16), (8, 11), (20, 31), (12, 17), (2, 15), (1, 10), (1, 0), (5, 22), (28, 17), (35, 14), (23, 3), (29, 19), (6, 14), (14, 31), (8, 13), (10, 28), (29, 24), (14, 9), (13, 22), (29, 25), (3, 14), (32, 23), (34, 13), (28, 2), (19, 29), (4, 8), (32, 6), (12, 28), (27, 12), (33, 3), (16, 8), (32, 0), (33, 14), (0, 19), (20, 34), (38, 5), (33, 21), (37, 5), (25, 5), (6, 11), (3, 34), (16, 4), (11, 3), (20, 25), (37, 24), (32, 17), (17, 33), (35, 11), (28, 30), (11, 20), (30, 17), (30, 2), (28, 11), (31, 17), (0, 24)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}
{"messages": [{"content": "In a 37x34 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 33), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (25, 25), (3, 29), (13, 22), (31, 19), (18, 20), (13, 26), (26, 33), (3, 11), (13, 20), (29, 14), (20, 22), (24, 9), (27, 32), (28, 14), (28, 31), (28, 30), (30, 27), (35, 24), (10, 19), (4, 5), (31, 3), (12, 9), (17, 15), (17, 2), (27, 5), (10, 27), (30, 10), (31, 7), (26, 28), (5, 29), (2, 24), (13, 18), (31, 20), (14, 33), (12, 13), (22, 16), (26, 11), (29, 4), (5, 22), (1, 13), (0, 17), (35, 21), (24, 28), (0, 25), (10, 30), (20, 14), (33, 23), (16, 5), (12, 30), (15, 1), (31, 24), (16, 17), (36, 7), (8, 29), (27, 8), (30, 32), (14, 19), (21, 20), (5, 1), (2, 18), (32, 19), (17, 7), (8, 8), (25, 14), (9, 9), (9, 28), (8, 3), (20, 24), (3, 4), (24, 33), (20, 7), (22, 3), (17, 16), (34, 15), (31, 12), (17, 11), (34, 9), (30, 7), (6, 13), (10, 11), (24, 12), (35, 10), (10, 24), (4, 12), (13, 9), (9, 5), (10, 7), (6, 8), (9, 12), (2, 6), (14, 15), (13, 21), (16, 31), (28, 20), (31, 18), (20, 13), (21, 19), (36, 32), (13, 24), (16, 12), (35, 28), (6, 3), (15, 13), (4, 11), (5, 14), (1, 9), (9, 24), (8, 10), (33, 5), (30, 28), (34, 12), (23, 9), (22, 12), (22, 31), (29, 11), (1, 7), (5, 32), (6, 10), (25, 32), (3, 30), (18, 16), (25, 0), (7, 0), (33, 0), (24, 22), (19, 13), (19, 5), (10, 6), (30, 6), (4, 19), (12, 12), (2, 14), (15, 17), (33, 3), (7, 28), (30, 21), (4, 27), (20, 12), (27, 26), (2, 1), (32, 30), (14, 18), (12, 26), (27, 3), (11, 1), (17, 30), (4, 16), (29, 22), (21, 8), (26, 13), (24, 1), (3, 19), (15, 28), (18, 12), (27, 17), (30, 11), (1, 18), (9, 19), (4, 29), (29, 18), (1, 24), (17, 31), (26, 25), (36, 21), (22, 0), (29, 16), (33, 10), (33, 19), (1, 31), (34, 11), (19, 20), (19, 21), (25, 5), (24, 24), (17, 27), (12, 0), (14, 27), (22, 8), (14, 28), (7, 8)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "6", "dataset": "MATH"}
{"messages": [{"content": "In a 30x31 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (29, 30), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 5), (24, 9), (4, 0), (14, 13), (13, 18), (4, 15), (25, 2), (26, 12), (8, 14), (29, 8), (25, 18), (25, 13), (5, 10), (3, 1), (21, 18), (15, 24), (6, 23), (1, 24), (3, 28), (10, 30), (20, 13), (1, 11), (17, 21), (28, 25), (21, 24), (14, 5), (7, 7), (22, 5), (11, 9), (1, 29), (7, 10), (7, 30), (6, 28), (7, 23), (10, 15), (23, 6), (26, 23), (2, 26), (27, 10), (24, 19), (27, 16), (6, 4), (15, 1), (20, 18), (23, 27), (20, 28), (4, 10), (3, 13), (9, 7), (27, 27), (2, 11), (15, 8), (11, 19), (25, 28), (7, 25), (10, 24), (3, 22), (25, 12), (4, 27), (28, 9), (13, 16), (9, 3), (3, 0), (1, 28), (14, 16), (28, 3), (4, 24), (23, 14), (19, 22), (6, 3), (15, 18), (22, 2), (0, 7), (2, 13), (8, 4), (19, 16), (10, 26), (20, 4), (13, 22), (10, 19), (12, 18), (15, 16), (8, 13), (16, 4), (6, 21), (9, 29), (6, 8), (8, 23), (15, 3), (26, 1), (20, 11), (27, 7), (20, 21), (3, 2), (22, 12), (5, 21), (24, 14), (17, 13), (1, 19), (25, 20), (12, 24), (12, 21), (23, 28), (17, 0), (13, 1), (17, 29), (13, 9), (2, 30), (9, 1), (3, 10), (13, 17), (0, 11), (17, 8), (11, 16), (17, 23), (26, 10), (29, 20), (28, 13), (21, 13), (5, 7), (24, 4), (9, 23)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "In a 37x35 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 34), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (14, 7), (9, 20), (10, 34), (29, 20), (4, 17), (3, 20), (9, 21), (1, 6), (22, 9), (2, 4), (5, 33), (4, 1), (34, 29), (19, 19), (25, 26), (8, 1), (9, 34), (3, 29), (8, 12), (24, 16), (15, 8), (29, 24), (16, 5), (36, 30), (20, 23), (3, 4), (4, 12), (24, 31), (19, 33), (13, 32), (27, 31), (32, 25), (23, 23), (10, 25), (16, 1), (36, 29), (4, 24), (27, 2), (2, 9), (1, 33), (1, 31), (24, 2), (33, 25), (11, 29), (17, 20), (21, 17), (34, 11), (4, 10), (15, 32), (25, 14), (26, 23), (8, 2), (34, 4), (6, 32), (30, 18), (14, 5), (1, 18), (12, 18), (31, 4), (7, 14), (12, 22), (13, 24), (18, 16), (18, 17), (11, 12), (15, 31), (7, 34), (23, 21), (24, 12), (29, 22), (7, 13), (9, 19), (33, 24), (30, 22), (8, 34), (19, 31), (31, 32), (1, 23), (28, 22), (29, 30), (17, 34), (19, 1), (2, 12), (19, 15), (17, 28), (23, 10), (21, 24), (24, 23), (16, 22), (3, 30), (0, 34), (0, 8), (18, 9), (2, 33), (22, 34), (33, 10), (10, 3), (25, 7), (28, 1), (19, 29), (10, 31), (17, 8), (22, 0), (7, 29), (21, 19), (27, 6), (29, 34), (22, 3), (7, 32), (6, 14), (16, 10), (22, 4), (17, 0), (33, 18), (36, 19), (23, 13), (29, 29), (35, 0), (30, 12), (31, 5), (36, 22), (29, 14), (17, 3), (23, 11), (11, 22), (21, 28), (9, 17), (5, 34), (22, 30), (11, 32), (30, 1), (14, 15), (6, 6), (20, 22), (10, 2), (35, 3), (3, 34), (22, 13), (10, 23), (4, 29), (14, 8), (17, 21), (28, 2), (28, 20), (5, 25), (26, 27), (13, 4), (33, 27), (26, 14), (3, 24), (25, 25), (16, 7), (17, 12), (31, 3), (23, 19), (28, 17), (9, 26), (31, 10), (13, 9), (5, 29), (26, 21), (12, 12), (11, 15), (35, 5), (4, 13), (12, 2), (33, 2), (5, 24), (18, 15), (0, 10), (9, 29), (28, 13), (19, 21), (22, 25), (14, 2), (18, 26), (34, 15), (6, 7), (5, 6), (10, 24), (26, 8), (35, 12), (32, 2), (14, 30), (21, 27), (32, 23), (6, 15), (27, 11), (35, 25)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "8", "dataset": "MATH"}
{"messages": [{"content": "In a 37x33 grid, what is the fewest number of steps it takes to get from the bottom left (0, 0) to the top right (36, 32), provided you can move right or up by any number of cells (like a chess rook) at each step, subject to the constraint that you cannot move through the following cells: (17, 23), (14, 1), (12, 20), (4, 1), (27, 2), (31, 11), (21, 28), (3, 29), (4, 0), (24, 15), (22, 32), (4, 7), (30, 2), (5, 9), (31, 31), (21, 9), (29, 15), (23, 4), (26, 17), (9, 5), (2, 27), (11, 2), (25, 3), (24, 13), (5, 5), (24, 28), (19, 10), (21, 27), (5, 1), (23, 3), (23, 6), (12, 19), (8, 24), (3, 3), (16, 5), (1, 1), (32, 28), (11, 25), (11, 19), (26, 12), (36, 9), (28, 32), (28, 30), (8, 12), (0, 9), (24, 6), (30, 20), (8, 13), (5, 11), (35, 27), (35, 8), (36, 28), (8, 4), (20, 22), (4, 24), (18, 30), (30, 1), (31, 3), (21, 20), (29, 20), (32, 14), (2, 21), (18, 16), (27, 0), (21, 25), (24, 22), (13, 30), (19, 4), (20, 0), (20, 8), (3, 0), (13, 25), (36, 31), (16, 0), (1, 12), (31, 30), (30, 11), (33, 4), (34, 24), (10, 29), (24, 3), (20, 3), (6, 8), (32, 30), (29, 21), (19, 26), (15, 18), (26, 8), (4, 26), (15, 19), (25, 19), (2, 16), (16, 14), (18, 5), (33, 32), (23, 2), (22, 4), (14, 3), (30, 17), (8, 26), (18, 32), (3, 28), (11, 11), (26, 27), (13, 6), (9, 30), (17, 3), (25, 29), (22, 26), (1, 17), (3, 14), (8, 7), (13, 3), (34, 19), (18, 4), (18, 6), (30, 25), (26, 10), (16, 32), (32, 27), (35, 10), (7, 10), (8, 1), (2, 15), (26, 9), (26, 4), (20, 12), (3, 22), (4, 4), (32, 32), (21, 15), (26, 7), (4, 8), (21, 12), (5, 22), (19, 22), (27, 32), (21, 6), (3, 16), (36, 25), (11, 29), (4, 5), (19, 5), (1, 9), (16, 21), (27, 4), (15, 32), (2, 19), (8, 18), (23, 7), (15, 3), (20, 18), (28, 1), (17, 9), (20, 9), (9, 6), (26, 30), (10, 13), (9, 19), (34, 22), (3, 15), (3, 20), (28, 9), (2, 32), (27, 15), (14, 12), (3, 24), (0, 10), (18, 17)? If it's impossible, answer with -1.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "10", "dataset": "MATH"}