[User]
In a 20x22 grid, how many different paths are there from the bottom left (0, 0) to the top right (19, 21), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (18, 10), (8, 10), (2, 4), (12, 2), (4, 10), (4, 4), (12, 19), (5, 9), (18, 3), (9, 14), (9, 9), (13, 17), (14, 10), (11, 12), (11, 1), (4, 0), (6, 19), (1, 20), (10, 6), (2, 7), (14, 6), (17, 12), (4, 21), (4, 9), (1, 1), (14, 2), (18, 21), (5, 11), (6, 1), (5, 16), (5, 0), (8, 20), (16, 2), (8, 13), (19, 9), (6, 13), (14, 7), (8, 0), (15, 10), (7, 0), (12, 17), (15, 15), (3, 2), (7, 4), (2, 0), (14, 19), (17, 18), (1, 7), (10, 8), (0, 9), (13, 18), (0, 4), (8, 21), (1, 15), (3, 1), (15, 19), (18, 17), (12, 20), (8, 15), (7, 17), (18, 11), (5, 15), (11, 3), (5, 2), (14, 15), (3, 7), (11, 20), (12, 0), (6, 4), (19, 12), (9, 15), (16, 15), (2, 10), (11, 17), (7, 9), (16, 9), (11, 13), (9, 18), (0, 8), (13, 4), (13, 3), (6, 15), (5, 13), (3, 20), (3, 19), (16, 5), (10, 20), (19, 17)?

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[User]
In a 22x22 grid, how many different paths are there from the bottom left (0, 0) to the top right (21, 21), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (17, 16), (17, 17), (3, 13), (9, 16), (1, 10), (1, 8), (6, 1), (2, 21), (14, 16), (17, 13), (7, 1), (12, 8), (3, 3), (17, 21), (0, 13), (14, 7), (1, 11), (18, 2), (4, 18), (3, 15), (12, 6), (1, 4), (21, 5), (0, 15), (16, 5), (3, 14), (9, 10), (20, 6), (15, 6), (0, 14), (9, 5), (6, 17), (20, 18), (6, 9), (4, 2), (6, 7), (12, 17), (1, 17), (4, 10), (8, 14), (9, 12), (6, 6), (7, 19), (13, 6), (20, 13), (2, 9), (2, 15), (7, 21), (9, 17), (8, 16), (16, 8), (21, 11), (2, 11), (4, 11), (8, 18), (0, 20), (13, 0), (20, 5), (10, 14), (11, 5), (16, 17), (3, 0), (0, 3), (1, 3), (20, 16), (17, 12), (13, 1), (1, 2), (6, 16), (13, 13), (14, 15), (9, 13), (20, 20), (5, 16), (6, 11), (3, 12), (15, 17), (20, 2), (13, 12), (20, 21), (10, 19), (15, 19), (9, 21), (14, 20), (11, 14), (11, 1), (6, 0), (2, 18), (19, 11), (19, 19), (8, 15), (10, 21), (0, 1), (11, 18), (4, 21), (19, 6), (4, 5), (6, 20), (10, 0), (16, 2), (14, 3), (17, 5), (4, 4), (4, 20), (2, 16), (5, 11), (21, 12), (7, 13), (8, 9), (13, 21), (7, 20), (5, 8), (18, 12), (5, 21), (17, 20), (21, 14), (11, 2), (11, 13), (4, 13), (17, 15), (13, 14), (1, 1)?

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[User]
In a 21x22 grid, how many different paths are there from the bottom left (0, 0) to the top right (20, 21), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (13, 12), (15, 21), (18, 2), (9, 8), (14, 17), (3, 16), (14, 15), (6, 20), (3, 18), (5, 16), (4, 6), (12, 20), (8, 6), (14, 5), (5, 19), (1, 9), (5, 0), (14, 10), (18, 3), (0, 4), (16, 12), (19, 18), (5, 21), (1, 11), (2, 19), (19, 5), (0, 11), (4, 14), (9, 15), (17, 8), (5, 12), (14, 13), (15, 15), (0, 16), (4, 8), (2, 14), (20, 11), (9, 2), (1, 17), (4, 4), (1, 6), (16, 5), (8, 3), (2, 11), (3, 19), (19, 7), (4, 20), (12, 9), (4, 19), (19, 8), (20, 0), (1, 12), (20, 1), (17, 12), (18, 17), (7, 8), (20, 12), (16, 4), (1, 13), (18, 7), (13, 3), (9, 7), (16, 6), (16, 3), (11, 4), (15, 13), (8, 11), (6, 3), (11, 13), (1, 5), (17, 0), (5, 9), (2, 5), (20, 20), (4, 7), (7, 9), (17, 6), (7, 5), (7, 14), (15, 11), (4, 9), (11, 9), (17, 20), (12, 18), (7, 10), (19, 9), (18, 11), (5, 10), (20, 10), (6, 12), (14, 7), (3, 12), (4, 11), (6, 6), (19, 2), (1, 20), (0, 13), (15, 9), (4, 18), (8, 18), (3, 6), (6, 19), (6, 8), (12, 16), (18, 19)?

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[User]
In a 22x25 grid, how many different paths are there from the bottom left (0, 0) to the top right (21, 24), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 18), (9, 23), (16, 17), (2, 12), (10, 0), (10, 23), (7, 4), (11, 15), (17, 20), (11, 2), (14, 8), (12, 7), (2, 16), (14, 4), (7, 13), (8, 2), (18, 21), (15, 4), (10, 15), (20, 8), (12, 23), (12, 19), (10, 9), (9, 24), (10, 24), (7, 21), (3, 8), (7, 8), (17, 22), (14, 21), (5, 10), (4, 24), (16, 13), (3, 0), (6, 7), (16, 8), (1, 24), (0, 23), (1, 8), (18, 12), (21, 20), (19, 18), (16, 0), (8, 6), (10, 2), (18, 2), (7, 5), (17, 3), (2, 0), (12, 6), (15, 23), (2, 10), (4, 0), (3, 6), (11, 4), (13, 7), (13, 22), (8, 5), (16, 9), (0, 20), (2, 18), (21, 7), (2, 2), (0, 16), (13, 19), (11, 13), (15, 12), (5, 21), (20, 24), (17, 19), (14, 11), (13, 14), (5, 24), (13, 5), (17, 6), (21, 11), (0, 22), (19, 12), (11, 8), (21, 8), (13, 24), (8, 15), (8, 9), (18, 17), (4, 19), (19, 13), (9, 12), (13, 6), (5, 22), (6, 2), (20, 14), (1, 11), (19, 7), (3, 9), (7, 22), (19, 3), (5, 6), (1, 6), (2, 8), (15, 5), (18, 20), (3, 5), (20, 2), (12, 9), (5, 19), (1, 12), (11, 19), (0, 17), (2, 22), (19, 9), (1, 2), (3, 24), (17, 15), (17, 10), (0, 14), (9, 14), (4, 18), (4, 22), (14, 14), (6, 10), (19, 17), (15, 11), (2, 7), (12, 3), (19, 21), (6, 5), (19, 1), (1, 17), (18, 5), (13, 23), (11, 10), (9, 1), (20, 13), (11, 9), (19, 22), (5, 7), (11, 20)?

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[User]
In a 29x24 grid, how many different paths are there from the bottom left (0, 0) to the top right (28, 23), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 9), (24, 21), (16, 20), (13, 17), (16, 9), (10, 8), (27, 6), (5, 5), (14, 12), (2, 3), (12, 0), (26, 19), (23, 4), (22, 19), (4, 0), (6, 12), (26, 21), (22, 22), (17, 17), (20, 5), (3, 19), (23, 19), (7, 20), (2, 4), (10, 21), (23, 8), (10, 4), (4, 5), (7, 22), (1, 9), (22, 23), (15, 4), (19, 10), (0, 7), (3, 11), (14, 10), (17, 12), (13, 11), (24, 10), (14, 21), (20, 9), (12, 9), (18, 16), (5, 11), (3, 21), (4, 17), (3, 5), (10, 5), (10, 13), (14, 8), (18, 0), (5, 8), (19, 1), (24, 16), (13, 18), (9, 12), (0, 15), (21, 13), (12, 6), (20, 15), (28, 22), (0, 19), (19, 17), (1, 3), (16, 12), (13, 23), (12, 14), (24, 4), (25, 0), (21, 15), (21, 12), (12, 10), (5, 9), (25, 1), (9, 10), (9, 11), (21, 2), (1, 18), (8, 7), (5, 19), (28, 4), (2, 13), (7, 2), (4, 10), (11, 6), (27, 17), (20, 21), (25, 23), (5, 6), (28, 18), (20, 23), (24, 22), (7, 7), (15, 10), (22, 14), (1, 17), (6, 6), (25, 7), (22, 16), (22, 9), (26, 2), (26, 5), (14, 19), (0, 16), (8, 17), (6, 11), (25, 8), (18, 2), (23, 11), (7, 4), (26, 3), (4, 11), (2, 15), (3, 14), (19, 7), (8, 19), (11, 2), (11, 0), (15, 14), (15, 0), (0, 2), (14, 7), (7, 17), (20, 1), (24, 5), (16, 5), (6, 5), (28, 15), (8, 6), (18, 13), (22, 2), (4, 7), (23, 9), (16, 19), (13, 22), (14, 18), (5, 18), (3, 8), (9, 21), (13, 19), (20, 6), (22, 12), (5, 4), (21, 4), (17, 7), (23, 7), (1, 8), (22, 11), (21, 1), (11, 20), (23, 21), (24, 12), (14, 16), (15, 20), (21, 0), (14, 22), (20, 4), (8, 1), (24, 20), (25, 2), (20, 20), (2, 10), (19, 4), (4, 8), (1, 5), (25, 17), (5, 7), (13, 14), (19, 6), (25, 5), (18, 18), (11, 5), (9, 23), (26, 13), (24, 3), (13, 13), (8, 14), (13, 4)?

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[User]
In a 25x21 grid, how many different paths are there from the bottom left (0, 0) to the top right (24, 20), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (22, 9), (4, 9), (2, 12), (15, 3), (2, 13), (22, 7), (1, 15), (20, 2), (23, 9), (23, 5), (11, 13), (1, 9), (0, 13), (7, 8), (4, 14), (8, 0), (10, 14), (16, 19), (20, 3), (21, 17), (15, 11), (1, 4), (13, 1), (9, 3), (10, 13), (24, 16), (18, 14), (17, 0), (23, 12), (2, 5), (0, 11), (3, 14), (0, 6), (20, 6), (21, 1), (14, 17), (20, 12), (3, 12), (2, 7), (16, 16), (0, 8), (10, 1), (15, 7), (13, 17), (21, 0), (20, 20), (4, 19), (15, 4), (6, 5), (9, 12), (14, 6), (13, 3), (5, 3), (6, 15), (3, 10), (9, 9), (4, 17), (7, 12), (5, 8), (18, 5), (22, 6), (21, 16), (15, 16), (17, 11), (10, 8), (24, 15), (9, 1), (6, 9), (13, 20), (10, 19), (9, 19), (11, 0), (7, 13), (18, 15), (9, 0), (16, 5), (6, 10), (22, 10), (7, 14), (19, 10), (15, 15), (12, 1), (15, 13), (11, 5), (11, 14), (8, 8), (6, 14), (20, 1), (17, 13), (10, 3), (4, 3), (22, 15), (16, 12), (5, 7), (1, 18), (22, 4), (12, 20), (20, 9), (13, 12), (12, 18), (16, 15), (13, 18), (3, 1), (21, 10), (0, 10), (0, 19), (12, 13), (11, 7), (8, 4), (8, 10), (20, 4), (20, 16), (13, 8), (17, 12), (9, 11), (20, 8), (4, 2), (19, 17), (6, 12), (13, 19), (17, 19), (6, 11), (14, 20), (17, 9)?

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[User]
In a 22x29 grid, how many different paths are there from the bottom left (0, 0) to the top right (21, 28), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 22), (20, 15), (1, 28), (17, 22), (8, 15), (15, 2), (7, 13), (13, 26), (2, 5), (4, 22), (7, 10), (5, 25), (18, 7), (5, 6), (6, 28), (12, 17), (16, 24), (17, 17), (13, 3), (21, 22), (15, 4), (20, 16), (9, 9), (4, 7), (20, 0), (9, 26), (14, 7), (18, 21), (5, 7), (5, 1), (21, 7), (4, 12), (14, 24), (14, 1), (21, 3), (8, 9), (1, 23), (20, 1), (15, 27), (10, 12), (9, 7), (1, 10), (17, 6), (18, 9), (19, 23), (11, 15), (4, 8), (4, 6), (8, 7), (0, 24), (8, 19), (12, 14), (8, 23), (2, 21), (18, 5), (9, 11), (5, 17), (11, 22), (6, 13), (8, 13), (3, 14), (7, 26), (3, 21), (17, 27), (5, 20), (17, 23), (21, 6), (12, 26), (3, 28), (11, 2), (7, 15), (12, 4), (15, 26), (10, 2), (0, 17), (10, 16), (16, 7), (8, 6), (17, 4), (10, 27), (14, 27), (21, 24), (8, 4), (1, 12), (19, 13), (18, 0), (13, 16), (17, 8), (10, 11), (3, 10), (12, 9), (7, 11), (4, 5), (11, 9), (14, 15), (10, 22), (13, 14), (3, 1), (19, 20), (4, 2), (15, 28), (10, 3), (3, 20), (21, 1), (5, 11), (12, 24), (6, 16), (11, 28), (6, 10), (4, 28), (7, 23), (17, 21), (20, 28), (17, 10), (2, 16), (1, 3), (9, 14), (6, 25), (2, 3), (0, 1), (4, 27), (9, 5), (20, 26), (10, 10), (8, 14), (10, 17), (7, 5), (15, 11), (6, 7), (15, 19), (16, 13), (16, 18), (18, 14), (3, 13), (14, 12)?

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[User]
In a 23x25 grid, how many different paths are there from the bottom left (0, 0) to the top right (22, 24), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 3), (12, 0), (12, 18), (13, 0), (7, 9), (11, 14), (1, 12), (8, 10), (11, 1), (17, 5), (17, 22), (10, 0), (19, 16), (13, 13), (8, 14), (9, 15), (19, 1), (5, 24), (8, 8), (20, 11), (20, 18), (3, 6), (21, 23), (6, 22), (4, 14), (13, 18), (11, 12), (5, 12), (16, 8), (8, 16), (16, 20), (7, 22), (12, 1), (17, 0), (21, 3), (1, 10), (18, 2), (14, 13), (8, 12), (3, 19), (13, 12), (22, 23), (22, 8), (16, 4), (0, 3), (21, 6), (12, 21), (3, 10), (1, 6), (16, 11), (10, 24), (5, 2), (7, 1), (11, 3), (12, 15), (6, 2), (0, 14), (12, 9), (17, 2), (8, 4), (0, 8), (11, 23), (14, 20), (0, 6), (12, 7), (20, 3), (8, 9), (6, 17), (16, 0), (17, 17), (2, 15), (11, 20), (10, 17), (18, 3), (8, 11), (5, 6), (20, 0), (5, 13), (14, 24), (19, 21), (16, 18), (17, 4), (9, 20), (0, 10), (22, 10), (1, 3), (5, 20), (20, 15), (3, 4), (12, 13), (11, 11), (4, 22), (2, 18), (19, 13), (6, 21), (15, 11), (8, 15), (14, 9), (6, 20), (7, 7), (10, 13), (17, 20), (14, 11), (10, 1), (16, 1), (6, 7), (19, 11), (22, 5), (15, 6), (20, 20), (21, 20), (7, 11), (17, 10), (3, 7), (16, 13), (12, 8), (12, 19), (14, 17), (5, 14), (9, 21), (21, 17), (8, 6), (5, 16)?

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[User]
In a 25x25 grid, how many different paths are there from the bottom left (0, 0) to the top right (24, 24), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (17, 3), (18, 15), (14, 3), (20, 16), (2, 21), (16, 1), (3, 9), (24, 3), (11, 22), (8, 23), (10, 8), (15, 14), (7, 4), (21, 10), (22, 19), (0, 20), (4, 2), (19, 20), (10, 6), (5, 0), (19, 14), (13, 22), (4, 4), (16, 11), (16, 16), (14, 16), (24, 14), (12, 2), (8, 16), (24, 1), (1, 1), (23, 8), (1, 8), (22, 24), (9, 14), (24, 11), (2, 1), (0, 3), (17, 20), (9, 23), (1, 14), (1, 5), (4, 13), (14, 17), (12, 18), (11, 2), (0, 24), (7, 13), (11, 7), (23, 18), (16, 23), (22, 1), (7, 9), (17, 18), (1, 10), (24, 18), (1, 22), (14, 15), (6, 21), (6, 8), (6, 22), (8, 1), (6, 2), (3, 14), (16, 13), (13, 10), (15, 3), (3, 12), (19, 10), (0, 13), (9, 5), (13, 18), (9, 17), (21, 2), (18, 21), (12, 17), (19, 4), (17, 1), (19, 9), (20, 1), (23, 12), (3, 20), (14, 10), (20, 14), (5, 24), (11, 13), (16, 9), (10, 18), (0, 10), (11, 20), (15, 20), (7, 3), (0, 23), (13, 6), (2, 2), (23, 10), (23, 1), (17, 6), (11, 5), (13, 24), (15, 7), (20, 11), (8, 11), (17, 4), (9, 4), (0, 9), (22, 7), (6, 11), (5, 17), (23, 6), (15, 12), (16, 8), (11, 17), (24, 4), (0, 15), (6, 18), (14, 4), (8, 13), (16, 18), (13, 5), (11, 24), (11, 3), (1, 0), (12, 20), (5, 19), (20, 6), (14, 22), (14, 19), (5, 16), (5, 21), (3, 21), (7, 24), (21, 5), (19, 5), (3, 15), (24, 13), (13, 9), (24, 0), (15, 9), (1, 15), (13, 23), (1, 17), (15, 16), (3, 1), (12, 15), (18, 8), (19, 3), (1, 9), (12, 13), (18, 22)?

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[User]
In a 21x21 grid, how many different paths are there from the bottom left (0, 0) to the top right (20, 20), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (19, 13), (17, 10), (8, 6), (18, 1), (2, 5), (2, 11), (6, 2), (10, 13), (8, 19), (5, 11), (5, 17), (13, 7), (16, 15), (20, 17), (5, 16), (13, 5), (7, 3), (0, 11), (12, 13), (2, 4), (10, 11), (18, 8), (7, 20), (2, 13), (8, 2), (4, 9), (12, 10), (1, 5), (18, 7), (19, 4), (11, 18), (12, 16), (15, 19), (6, 8), (3, 0), (15, 0), (3, 16), (15, 12), (17, 18), (3, 4), (16, 19), (4, 17), (10, 5), (17, 16), (0, 15), (15, 17), (13, 3), (13, 12), (6, 11), (12, 11), (0, 16), (7, 1), (16, 20), (2, 1), (11, 4), (4, 19), (5, 4), (19, 16), (15, 14), (19, 0), (16, 13), (3, 15), (5, 0), (15, 20), (4, 14), (12, 0), (18, 16), (8, 1), (5, 2), (9, 9), (19, 19), (18, 20)?

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[User]
In a 20x22 grid, how many different paths are there from the bottom left (0, 0) to the top right (19, 21), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (14, 11), (19, 5), (9, 3), (5, 21), (19, 4), (15, 17), (10, 0), (11, 13), (10, 4), (17, 11), (18, 12), (10, 16), (12, 13), (12, 21), (19, 10), (0, 17), (3, 21), (14, 8), (4, 7), (1, 21), (11, 10), (18, 3), (6, 5), (9, 6), (1, 12), (19, 17), (15, 7), (2, 12), (9, 14), (1, 17), (3, 17), (5, 17), (16, 10), (18, 17), (18, 7), (16, 1), (16, 16), (3, 8), (0, 20), (19, 12), (14, 15), (0, 18), (1, 1), (11, 0), (0, 21), (17, 2), (2, 14), (5, 0), (19, 8), (4, 3), (8, 5), (9, 12), (18, 20), (8, 9), (4, 16), (18, 8), (16, 3), (4, 17), (8, 6), (3, 18), (9, 21), (13, 15), (7, 15), (15, 21), (8, 0), (3, 3), (19, 20), (3, 19), (10, 2), (3, 5), (15, 11), (2, 16), (15, 6), (10, 7), (4, 11), (19, 15), (13, 9), (15, 15), (17, 3), (14, 5), (3, 7), (12, 20), (12, 12), (14, 21), (15, 18), (15, 10), (9, 11), (9, 1), (16, 17), (7, 0), (17, 13), (8, 19), (5, 7), (4, 2), (7, 5), (7, 18), (14, 10), (2, 11), (14, 9), (13, 3), (12, 17), (19, 6), (1, 4), (1, 7), (5, 16), (16, 14), (15, 19), (19, 7), (5, 5)?

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[User]
In a 29x28 grid, how many different paths are there from the bottom left (0, 0) to the top right (28, 27), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 3), (3, 23), (21, 4), (4, 19), (3, 20), (28, 24), (7, 26), (13, 19), (8, 23), (10, 8), (5, 7), (6, 17), (8, 8), (24, 25), (14, 20), (20, 26), (19, 6), (8, 13), (17, 3), (23, 21), (22, 0), (26, 0), (10, 9), (24, 10), (0, 13), (10, 17), (10, 19), (28, 6), (13, 24), (16, 6), (11, 15), (9, 6), (22, 13), (4, 25), (10, 24), (21, 27), (1, 4), (20, 27), (22, 20), (17, 27), (10, 4), (3, 2), (23, 13), (20, 16), (11, 19), (24, 21), (27, 5), (2, 3), (9, 4), (10, 2), (24, 15), (18, 20), (13, 14), (10, 0), (20, 4), (25, 11), (4, 7), (13, 27), (3, 15), (3, 11), (13, 20), (18, 26), (11, 11), (21, 17), (4, 17), (4, 1), (28, 10), (27, 16), (20, 6), (8, 20), (21, 24), (3, 13), (2, 20), (12, 14), (7, 6), (15, 3), (5, 2), (9, 9), (26, 11), (22, 15), (10, 27), (13, 21), (24, 5), (19, 10), (25, 20), (24, 24), (5, 13), (11, 10), (6, 19), (13, 11), (12, 18), (16, 20), (6, 9), (24, 7), (26, 25), (10, 12), (0, 15), (25, 9), (27, 8), (3, 17), (12, 3), (7, 4), (21, 6), (16, 8), (6, 18), (11, 26), (4, 10), (4, 21), (25, 12), (6, 5), (0, 14), (3, 7), (24, 4), (6, 7), (24, 26), (21, 21), (6, 25), (15, 5), (11, 25), (16, 13), (27, 18), (18, 18), (8, 18), (0, 25), (27, 6), (6, 4), (21, 0), (20, 19), (4, 6), (7, 25), (6, 21), (16, 22), (26, 22), (18, 11), (19, 14), (0, 8), (6, 26), (3, 1), (27, 9), (4, 2), (1, 19), (16, 2), (0, 17), (26, 1), (7, 1), (0, 6), (11, 5), (22, 21), (8, 14), (16, 17), (20, 11), (20, 22), (5, 15), (2, 1), (24, 18), (8, 1), (16, 27), (27, 26), (26, 19), (9, 15), (18, 23), (1, 27), (28, 11), (2, 8), (28, 19), (23, 25), (24, 8), (14, 24), (3, 27), (15, 24), (1, 10), (25, 0), (9, 12), (21, 9), (27, 3), (26, 4), (15, 14), (14, 5), (3, 25), (15, 21), (2, 21), (16, 18), (23, 6), (10, 25), (0, 2), (22, 14), (25, 19), (7, 10), (24, 14), (20, 15), (26, 7), (21, 8), (28, 23), (10, 1), (18, 0), (3, 18), (10, 18), (27, 25), (27, 4), (2, 10), (3, 12), (18, 27), (25, 10), (8, 11), (8, 5), (19, 19)?

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[User]
In a 20x20 grid, how many different paths are there from the bottom left (0, 0) to the top right (19, 19), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (10, 7), (6, 12), (10, 10), (3, 8), (0, 10), (12, 1), (15, 6), (17, 5), (19, 0), (19, 17), (0, 8), (12, 17), (4, 5), (11, 12), (8, 12), (18, 4), (5, 15), (0, 9), (16, 12), (12, 0), (17, 10), (15, 10), (1, 16), (15, 1), (9, 5), (6, 10), (10, 8), (3, 19), (16, 2), (10, 17), (4, 6), (15, 16), (6, 2), (11, 14), (16, 11), (0, 11), (14, 16), (18, 17), (16, 9), (11, 9), (15, 17), (18, 2), (8, 14), (7, 5), (15, 15), (13, 16), (7, 10), (11, 2), (6, 5), (10, 12), (0, 6), (10, 15), (16, 13), (11, 4), (8, 4), (19, 4), (13, 15), (15, 5), (16, 7), (2, 7), (19, 8), (17, 19), (17, 14), (5, 1), (6, 17), (14, 4), (9, 11), (11, 18), (9, 13), (4, 17), (18, 11), (8, 11), (9, 1), (3, 0)?

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[User]
In a 28x26 grid, how many different paths are there from the bottom left (0, 0) to the top right (27, 25), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 19), (20, 22), (19, 22), (1, 3), (22, 0), (19, 14), (12, 13), (23, 24), (0, 5), (15, 22), (12, 19), (17, 24), (16, 24), (21, 24), (19, 24), (25, 8), (9, 8), (21, 5), (4, 17), (4, 7), (26, 16), (10, 24), (20, 7), (4, 23), (6, 15), (17, 5), (27, 23), (15, 2), (7, 13), (5, 22), (1, 24), (25, 7), (7, 0), (11, 6), (18, 24), (25, 15), (5, 10), (15, 24), (22, 5), (11, 0), (12, 6), (6, 5), (10, 20), (18, 11), (16, 16), (22, 19), (13, 1), (24, 25), (24, 22), (13, 24), (3, 17), (19, 20), (16, 3), (5, 11), (11, 7), (6, 19), (22, 10), (2, 0), (12, 2), (0, 17), (7, 23), (18, 6), (12, 8), (23, 21), (3, 13), (15, 4), (11, 2), (13, 22), (20, 12), (2, 4), (23, 17), (27, 18), (11, 21), (24, 23), (16, 22), (12, 5), (8, 23), (10, 11), (6, 25), (24, 24), (16, 12), (22, 3), (0, 16), (17, 20), (14, 6), (20, 1), (23, 11), (17, 9), (21, 25), (19, 10), (0, 20), (9, 10), (0, 2), (25, 6), (18, 16), (27, 1), (9, 22), (20, 25), (11, 15), (13, 5), (12, 25), (1, 14), (14, 2), (22, 23), (19, 13), (11, 8), (18, 14), (26, 11), (13, 3), (23, 22), (10, 25), (21, 9), (13, 9), (24, 3), (8, 3), (6, 21), (26, 14), (6, 16), (2, 5), (3, 7), (21, 10), (21, 20), (0, 10), (21, 21), (16, 4), (8, 24), (25, 23), (1, 0), (5, 9), (11, 4), (7, 8), (3, 0), (21, 18), (16, 18), (1, 11), (6, 2), (11, 14), (14, 7), (7, 21), (14, 25), (18, 19), (15, 11), (19, 17), (10, 5), (4, 4), (6, 18), (4, 12), (22, 20), (14, 14), (16, 2), (24, 10), (12, 7), (4, 22), (7, 17), (19, 19), (7, 14), (6, 6), (5, 2), (2, 12), (0, 8), (17, 22), (17, 21), (11, 25), (8, 7), (4, 1), (2, 7), (20, 4), (16, 17), (6, 3), (24, 18), (16, 15), (5, 16), (24, 6), (9, 4), (27, 14), (21, 1), (18, 13), (3, 21), (13, 0), (24, 8), (20, 13), (18, 1), (14, 9), (0, 6), (11, 11), (12, 9), (5, 1), (15, 7), (22, 18), (3, 4), (21, 11), (19, 6), (17, 25), (17, 7), (14, 17), (15, 19), (16, 19), (19, 5), (0, 14), (23, 19), (1, 8), (22, 4), (2, 3), (23, 16)?

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[User]
In a 28x24 grid, how many different paths are there from the bottom left (0, 0) to the top right (27, 23), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (22, 5), (17, 22), (4, 20), (7, 16), (3, 8), (17, 12), (19, 7), (4, 13), (19, 14), (5, 18), (10, 23), (18, 10), (23, 15), (11, 9), (19, 3), (3, 17), (21, 23), (25, 20), (6, 19), (12, 8), (4, 14), (9, 14), (27, 19), (25, 1), (2, 14), (20, 8), (23, 20), (16, 2), (3, 23), (3, 6), (4, 17), (12, 12), (11, 13), (5, 11), (24, 14), (13, 17), (5, 20), (5, 21), (9, 13), (15, 3), (17, 1), (20, 6), (20, 17), (15, 10), (20, 15), (11, 8), (21, 18), (1, 11), (14, 21), (1, 9), (14, 22), (3, 20), (17, 4), (24, 7), (20, 13), (9, 15), (23, 3), (9, 18), (1, 20), (15, 6), (8, 8), (23, 5), (20, 0), (15, 11), (26, 11), (2, 2), (9, 5), (0, 8), (11, 1), (20, 4), (22, 4), (12, 7), (9, 10), (6, 0), (17, 23), (7, 21), (17, 19), (7, 3), (8, 20), (20, 1), (16, 19), (10, 14), (13, 22), (2, 15), (5, 17), (11, 3), (9, 16), (19, 8), (20, 12), (26, 7), (3, 12), (15, 16), (10, 18), (8, 1), (27, 22), (17, 9), (18, 5), (27, 8), (9, 2), (18, 9), (0, 2), (0, 10), (7, 10), (16, 22), (25, 7), (19, 4), (14, 4), (4, 22), (11, 23), (5, 22), (5, 7), (3, 2), (19, 17), (22, 20), (21, 13), (25, 21), (15, 7), (11, 2), (15, 1), (4, 3), (6, 23), (3, 10), (16, 8), (14, 9), (17, 16), (13, 6), (10, 3), (7, 5), (15, 17), (7, 22), (9, 7), (22, 10), (20, 3), (18, 7), (25, 22), (26, 15), (17, 15), (14, 17), (27, 16), (5, 0), (24, 18), (26, 10), (1, 22), (0, 7), (6, 10), (0, 18), (0, 9), (12, 15), (8, 21), (13, 2), (23, 6), (27, 21), (9, 4), (27, 11), (18, 21), (21, 6), (20, 9), (23, 14), (21, 10), (21, 5), (24, 6), (2, 12), (8, 7), (21, 9), (24, 10), (4, 12), (5, 6), (2, 1), (10, 13), (27, 15), (26, 2), (16, 16), (15, 23), (9, 6), (13, 9), (12, 18), (1, 13), (26, 14), (1, 15), (0, 1), (22, 16), (27, 18), (20, 14), (11, 12), (17, 20), (20, 11), (10, 6), (0, 12), (15, 9), (14, 5), (2, 20), (16, 6), (11, 19), (4, 9), (0, 21), (27, 13), (24, 11), (23, 21), (8, 3), (25, 16), (7, 8), (17, 6), (26, 21), (0, 14), (23, 16), (23, 10), (6, 7)?

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[User]
In a 21x28 grid, how many different paths are there from the bottom left (0, 0) to the top right (20, 27), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (18, 20), (1, 18), (5, 0), (8, 26), (14, 3), (0, 1), (9, 0), (4, 12), (12, 19), (19, 2), (3, 16), (13, 4), (9, 14), (18, 7), (14, 25), (11, 14), (0, 15), (7, 0), (7, 10), (18, 24), (14, 5), (7, 9), (19, 25), (20, 8), (6, 22), (10, 20), (1, 23), (3, 4), (14, 13), (13, 3), (7, 7), (20, 14), (11, 3), (11, 25), (2, 16), (3, 26), (14, 4), (15, 5), (9, 23), (16, 8), (12, 14), (3, 0), (15, 0), (15, 18), (18, 16), (0, 5), (1, 17), (3, 1), (19, 23), (17, 27), (11, 12), (6, 5), (3, 10), (3, 20), (6, 18), (4, 14), (10, 12), (19, 14), (19, 3), (3, 6), (12, 4), (18, 8), (20, 22), (4, 21), (13, 1), (13, 16), (12, 3), (6, 12), (6, 2), (18, 22), (15, 12), (4, 19), (2, 26), (18, 10), (1, 25), (11, 9), (4, 20), (5, 20), (10, 4), (15, 6), (9, 24), (11, 0), (18, 27), (9, 4), (5, 11), (13, 12), (9, 9), (9, 21), (10, 2), (9, 27), (14, 0), (19, 21), (20, 10), (10, 18), (11, 6), (13, 2), (8, 11), (8, 15), (4, 0), (17, 21), (16, 12), (17, 3), (11, 18), (8, 6), (4, 9), (17, 19), (0, 17), (1, 16), (18, 2), (13, 7), (16, 24), (11, 7), (19, 15), (8, 13), (20, 13), (16, 15), (6, 7), (1, 22), (14, 27), (8, 8), (7, 18), (10, 11), (20, 23), (10, 21), (8, 1), (8, 25), (12, 23), (6, 16), (12, 6), (15, 11), (4, 13), (14, 10), (14, 23), (3, 19), (20, 25), (17, 16), (4, 24), (19, 22), (2, 19), (8, 19), (3, 27), (5, 6), (5, 27), (2, 27), (11, 26), (0, 26), (16, 9), (15, 24), (1, 21), (13, 21), (12, 21), (14, 24), (6, 14), (9, 7), (20, 11), (1, 13), (2, 11), (11, 2), (7, 16)?

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[User]
In a 23x22 grid, how many different paths are there from the bottom left (0, 0) to the top right (22, 21), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 14), (0, 21), (10, 10), (7, 2), (3, 20), (19, 9), (4, 6), (12, 12), (10, 15), (4, 0), (17, 14), (10, 4), (19, 16), (10, 8), (10, 3), (8, 7), (8, 8), (22, 7), (8, 13), (5, 20), (5, 0), (6, 15), (10, 1), (20, 3), (18, 13), (20, 8), (2, 1), (17, 0), (5, 17), (7, 6), (10, 20), (21, 4), (11, 14), (12, 9), (8, 2), (8, 18), (5, 2), (2, 18), (16, 14), (4, 12), (17, 20), (1, 15), (5, 8), (19, 2), (8, 12), (5, 11), (14, 5), (14, 1), (6, 4), (6, 6), (10, 13), (20, 19), (5, 15), (11, 1), (15, 3), (11, 19), (6, 3), (0, 1), (21, 12), (16, 11), (12, 11), (11, 17), (17, 6), (17, 9), (15, 11), (0, 15), (17, 19), (21, 15), (17, 15), (11, 15), (16, 0), (8, 21), (16, 10), (4, 7), (10, 11), (13, 4), (22, 1), (9, 20), (3, 21), (1, 5), (7, 3), (22, 4), (0, 11), (10, 0), (10, 6), (6, 20), (19, 6), (4, 3), (13, 14), (2, 19), (16, 13), (0, 4), (14, 10), (21, 19), (3, 15), (12, 5), (21, 1), (17, 7), (2, 5), (18, 21), (16, 9), (20, 2), (15, 18), (11, 13), (15, 8), (10, 5), (13, 12)?

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[User]
In a 24x25 grid, how many different paths are there from the bottom left (0, 0) to the top right (23, 24), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 4), (1, 19), (22, 3), (5, 12), (19, 20), (6, 16), (19, 2), (2, 11), (5, 18), (12, 15), (17, 11), (2, 13), (5, 7), (14, 11), (23, 19), (6, 14), (12, 20), (16, 18), (16, 15), (22, 24), (15, 2), (6, 5), (3, 14), (19, 3), (22, 20), (0, 17), (21, 0), (0, 15), (1, 2), (1, 22), (21, 3), (6, 19), (17, 23), (20, 13), (21, 20), (13, 23), (4, 17), (15, 21), (2, 10), (16, 0), (17, 14), (13, 14), (9, 20), (17, 4), (3, 23), (17, 8), (7, 18), (11, 7), (8, 4), (20, 15), (4, 3), (21, 12), (8, 15), (15, 24), (18, 12), (8, 11), (16, 9), (9, 19), (18, 11), (6, 24), (19, 10), (6, 9), (13, 6), (23, 0), (10, 21), (7, 14), (4, 11), (22, 11), (11, 13), (22, 16), (12, 21), (4, 16), (19, 19), (1, 17), (21, 22), (19, 14), (19, 0), (1, 21), (11, 9), (23, 15), (16, 11), (1, 3), (13, 9), (1, 6), (6, 12), (4, 21), (3, 19), (7, 6), (2, 0), (18, 23), (20, 3), (14, 4), (22, 2), (19, 12), (17, 12), (12, 16), (16, 8), (8, 6), (22, 13), (21, 13), (2, 23), (17, 9), (0, 7), (5, 8), (18, 14), (7, 11), (3, 0), (21, 6), (20, 10), (6, 4), (20, 9), (0, 8), (19, 15), (2, 14), (15, 10), (16, 14), (23, 4), (6, 8), (8, 8), (13, 4), (10, 22), (0, 24), (17, 17), (5, 6), (15, 12), (12, 17), (11, 6), (4, 22), (10, 6), (15, 8), (15, 3), (10, 17), (17, 7), (23, 11), (6, 13), (12, 14), (22, 23), (12, 24), (12, 1), (9, 8), (4, 8), (6, 7), (1, 16), (8, 13), (20, 16), (13, 7), (19, 1), (22, 22), (9, 21), (13, 20), (15, 19)?

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[User]
In a 26x27 grid, how many different paths are there from the bottom left (0, 0) to the top right (25, 26), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (10, 18), (24, 15), (21, 5), (15, 11), (3, 18), (11, 19), (6, 3), (11, 25), (25, 0), (16, 11), (1, 12), (9, 3), (17, 18), (7, 26), (1, 13), (16, 15), (7, 23), (15, 12), (9, 22), (20, 7), (20, 18), (11, 1), (25, 2), (3, 1), (14, 8), (17, 2), (13, 18), (24, 13), (20, 19), (8, 22), (5, 13), (3, 20), (4, 17), (23, 13), (23, 6), (8, 3), (4, 23), (10, 5), (1, 18), (1, 2), (13, 4), (13, 1), (18, 19), (6, 2), (7, 24), (20, 26), (14, 11), (19, 20), (3, 3), (4, 5), (23, 12), (2, 23), (5, 22), (20, 14), (19, 22), (20, 22), (11, 4), (24, 20), (15, 3), (18, 6), (7, 1), (5, 23), (2, 7), (24, 12), (4, 9), (6, 1), (10, 14), (3, 14), (4, 4), (6, 11), (4, 11), (5, 16), (11, 9), (7, 19), (25, 25), (12, 12), (20, 1), (24, 11), (9, 2), (7, 16), (4, 19), (8, 4), (24, 22), (18, 20), (4, 7), (13, 13), (12, 2), (7, 5), (20, 20), (25, 5), (18, 11), (12, 24), (10, 24), (9, 25), (10, 11), (22, 14), (21, 21), (13, 19), (13, 23), (4, 6), (12, 18), (14, 19), (0, 24), (21, 14), (18, 16), (12, 3), (8, 23), (2, 22), (2, 3), (19, 23), (7, 21), (24, 10), (20, 8), (8, 24), (17, 10), (12, 10), (16, 23), (1, 0), (14, 4), (20, 5), (22, 12), (19, 1), (25, 11), (17, 23), (11, 21), (18, 26), (21, 23), (8, 8), (2, 4), (13, 9), (14, 17), (19, 13), (22, 24), (21, 12), (2, 5), (11, 26), (25, 17), (14, 7), (19, 9), (14, 3), (15, 1), (2, 9), (3, 0), (6, 24), (16, 3), (13, 21), (25, 12), (13, 15), (0, 8), (10, 4), (6, 8), (14, 23), (0, 16), (11, 23), (3, 21), (16, 21), (21, 26), (5, 11), (16, 12), (16, 18), (5, 10), (15, 15), (10, 22), (25, 3), (15, 4), (2, 12), (9, 20), (0, 9), (21, 6), (5, 4), (17, 13), (24, 2), (14, 18), (17, 16), (16, 5), (10, 9), (23, 10), (8, 0), (19, 14), (15, 13), (21, 20), (0, 4), (8, 21), (12, 13)?

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[User]
In a 23x27 grid, how many different paths are there from the bottom left (0, 0) to the top right (22, 26), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (13, 4), (14, 8), (8, 22), (18, 11), (19, 13), (7, 20), (22, 22), (18, 1), (14, 5), (20, 1), (19, 7), (19, 3), (19, 14), (18, 8), (10, 17), (8, 3), (15, 2), (13, 21), (2, 20), (14, 16), (12, 21), (13, 8), (13, 16), (3, 0), (6, 21), (14, 23), (10, 3), (21, 15), (9, 16), (6, 4), (4, 20), (8, 18), (4, 16), (18, 26), (6, 10), (9, 10), (8, 24), (0, 20), (6, 9), (22, 3), (13, 17), (22, 19), (16, 15), (2, 7), (13, 9), (17, 0), (9, 19), (22, 6), (1, 5), (2, 21), (14, 0), (10, 21), (18, 4), (19, 25), (16, 22), (19, 1), (5, 9), (14, 24), (0, 18), (10, 13), (11, 4), (17, 18), (20, 11), (6, 17), (14, 10), (2, 5), (18, 22), (17, 10), (20, 4), (21, 5), (3, 3), (15, 23), (20, 17), (13, 12), (11, 20), (5, 16), (0, 11), (6, 20), (22, 13), (13, 20), (10, 24), (22, 7), (12, 18), (13, 22), (1, 1), (12, 17), (13, 1), (13, 0), (21, 21), (6, 22), (9, 8), (4, 7), (11, 24), (12, 1), (21, 11), (5, 6), (18, 19), (8, 26), (7, 4), (4, 5), (11, 15), (10, 0), (18, 17), (14, 26), (11, 0), (20, 23), (16, 4), (22, 11), (21, 16), (2, 18), (15, 9), (9, 24), (12, 8), (1, 24), (0, 21), (3, 19), (14, 1), (19, 16), (14, 4), (22, 23), (12, 26), (13, 15), (11, 14), (0, 1), (8, 11), (16, 18), (11, 5), (22, 10), (6, 14), (16, 16), (9, 25), (13, 24), (20, 10), (15, 14), (6, 3), (20, 22), (6, 7), (2, 25), (9, 2), (21, 13), (7, 17), (10, 23), (5, 14), (0, 12), (13, 6), (18, 0), (0, 3), (12, 22), (20, 16), (21, 1), (2, 12), (10, 9), (7, 19), (3, 24), (12, 7), (17, 24), (11, 11), (8, 14)?

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[User]
In a 27x27 grid, how many different paths are there from the bottom left (0, 0) to the top right (26, 26), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (15, 13), (7, 23), (22, 9), (2, 18), (20, 5), (9, 25), (10, 4), (7, 25), (22, 11), (16, 5), (13, 4), (14, 1), (18, 26), (25, 17), (1, 3), (11, 22), (24, 0), (8, 22), (2, 16), (12, 4), (6, 13), (23, 6), (21, 12), (20, 6), (18, 21), (23, 7), (14, 16), (17, 20), (6, 8), (12, 6), (4, 12), (7, 22), (11, 26), (18, 8), (8, 9), (12, 5), (16, 13), (19, 25), (8, 6), (13, 9), (1, 13), (16, 20), (20, 18), (15, 19), (17, 7), (4, 25), (23, 5), (20, 2), (21, 15), (26, 7), (13, 6), (16, 2), (14, 3), (14, 25), (19, 23), (14, 8), (12, 13), (0, 13), (10, 5), (3, 12), (0, 23), (5, 5), (4, 17), (15, 9), (9, 3), (23, 19), (18, 9), (12, 3), (12, 0), (25, 11), (23, 17), (13, 13), (8, 25), (20, 16), (10, 22), (12, 11), (15, 1), (9, 7), (20, 10), (21, 26), (6, 9), (9, 22), (18, 11), (23, 16), (16, 6), (21, 7), (20, 20), (11, 3), (1, 11), (0, 21), (26, 5), (4, 16), (8, 15), (1, 4), (15, 12), (22, 3), (8, 16), (6, 18), (24, 3), (3, 13), (20, 7), (24, 13), (7, 4), (1, 16), (24, 21), (17, 19), (13, 16), (12, 8), (1, 17), (11, 0), (18, 15), (22, 13), (17, 14), (8, 12), (17, 22), (4, 6), (10, 23), (23, 24), (14, 0), (3, 26), (18, 25), (1, 19), (9, 2), (17, 1), (12, 19), (7, 24), (22, 23), (8, 0), (12, 10), (2, 10), (3, 11), (3, 15), (4, 20), (19, 11), (14, 23), (9, 24), (17, 3), (23, 15), (20, 11), (0, 18), (16, 24), (20, 0), (14, 18), (5, 0), (11, 11), (10, 24), (10, 25), (10, 0), (2, 25), (20, 12), (12, 15), (19, 4), (11, 17), (22, 25), (13, 1), (22, 16), (7, 18), (5, 4), (9, 18), (14, 19), (21, 3), (20, 24), (24, 1), (26, 25), (5, 14), (15, 5), (14, 7), (20, 21), (22, 4), (5, 10), (0, 25), (19, 26), (15, 3), (21, 2), (7, 10), (2, 0), (7, 20), (17, 25), (18, 18), (9, 11), (21, 11), (22, 20), (22, 17), (14, 11), (5, 9), (3, 24), (0, 15), (3, 2), (0, 17), (2, 6), (7, 8), (22, 7), (6, 12), (12, 1), (26, 1), (9, 1), (19, 3), (24, 24), (13, 7), (5, 17), (26, 24), (10, 17), (6, 21), (3, 10), (14, 12), (13, 15), (19, 14), (22, 15), (17, 24), (7, 19), (2, 9), (17, 11), (10, 11)?

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[User]
In a 21x20 grid, how many different paths are there from the bottom left (0, 0) to the top right (20, 19), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (12, 18), (2, 7), (7, 8), (14, 12), (13, 16), (2, 17), (10, 19), (6, 8), (4, 6), (2, 3), (13, 10), (14, 14), (16, 5), (14, 9), (18, 4), (16, 10), (8, 18), (10, 12), (15, 14), (0, 14), (8, 4), (10, 8), (18, 16), (15, 16), (0, 19), (16, 7), (17, 17), (13, 6), (19, 5), (19, 3), (8, 17), (4, 3), (16, 4), (15, 8), (10, 13), (4, 16), (19, 18), (9, 19), (4, 12), (17, 18), (4, 4), (5, 14), (9, 13), (12, 19), (2, 9), (16, 2), (20, 8), (1, 5), (10, 10), (19, 2), (13, 17), (12, 15), (15, 11), (2, 4), (11, 1), (5, 7), (20, 16), (17, 7), (9, 4), (8, 1), (8, 12), (5, 9), (14, 15), (10, 0), (19, 17)?

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[User]
In a 26x27 grid, how many different paths are there from the bottom left (0, 0) to the top right (25, 26), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (10, 0), (9, 20), (7, 3), (17, 19), (18, 5), (5, 22), (5, 4), (6, 18), (6, 14), (10, 24), (6, 15), (13, 12), (20, 9), (16, 6), (11, 4), (8, 23), (0, 18), (0, 11), (24, 19), (23, 1), (15, 15), (8, 15), (6, 17), (7, 11), (11, 11), (25, 18), (18, 10), (4, 4), (21, 9), (10, 9), (9, 6), (18, 13), (24, 15), (20, 25), (3, 6), (14, 1), (14, 9), (6, 24), (15, 3), (1, 17), (10, 3), (12, 26), (22, 19), (1, 6), (7, 4), (19, 1), (0, 7), (22, 9), (7, 22), (11, 12), (21, 1), (20, 15), (1, 22), (17, 22), (10, 22), (13, 9), (22, 3), (24, 24), (5, 21), (11, 25), (23, 0), (19, 19), (20, 1), (6, 22), (2, 15), (5, 16), (23, 8), (20, 26), (13, 10), (15, 1), (9, 2), (21, 13), (16, 5), (18, 22), (3, 20), (14, 13), (20, 22), (4, 23), (4, 8), (8, 9), (9, 19), (8, 19), (8, 8), (23, 2), (17, 6), (19, 17), (8, 22), (5, 14), (18, 19), (9, 24), (22, 11), (1, 21), (8, 13), (21, 6), (4, 14), (4, 9), (18, 4), (6, 8), (8, 20), (12, 22), (1, 11), (6, 19), (12, 7), (25, 14), (15, 21), (5, 5), (20, 23), (17, 8), (0, 12), (9, 1), (25, 25), (0, 14), (9, 16), (19, 23), (14, 23), (14, 25), (3, 2), (16, 10), (1, 26), (22, 23), (19, 3), (19, 9), (2, 4), (13, 20), (9, 14), (15, 13), (11, 15), (11, 23), (6, 2), (13, 23), (0, 10), (20, 20), (24, 3), (10, 26), (18, 20), (7, 15), (19, 16), (7, 23), (18, 23), (1, 8), (8, 12), (8, 24), (4, 21), (24, 18), (13, 3), (25, 13), (0, 6), (9, 12), (13, 7), (2, 2), (17, 25), (5, 11), (6, 23), (19, 4), (1, 15), (18, 6), (12, 19), (24, 14), (4, 15), (4, 1), (21, 15), (5, 18), (11, 3), (0, 25), (9, 0), (22, 26), (8, 3), (10, 13), (2, 5), (10, 17), (2, 8), (21, 24), (11, 14), (6, 26), (20, 11), (18, 18), (13, 5), (12, 10)?

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[User]
In a 24x20 grid, how many different paths are there from the bottom left (0, 0) to the top right (23, 19), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 15), (6, 13), (13, 5), (10, 16), (4, 14), (14, 2), (8, 9), (19, 6), (6, 8), (13, 7), (16, 2), (9, 3), (1, 10), (11, 3), (9, 18), (5, 11), (0, 16), (14, 0), (2, 3), (21, 8), (23, 12), (1, 4), (10, 4), (20, 6), (14, 4), (5, 17), (10, 3), (6, 10), (6, 4), (2, 1), (16, 17), (15, 15), (11, 1), (19, 3), (9, 15), (8, 12), (9, 12), (4, 9), (3, 12), (3, 9), (22, 9), (3, 18), (7, 9), (18, 7), (23, 9), (9, 17), (7, 12), (3, 3), (21, 14), (8, 2), (11, 9), (9, 11), (2, 16), (17, 16), (5, 8), (2, 18), (3, 6), (0, 15), (13, 17), (9, 9), (2, 7), (0, 11), (9, 7), (0, 17), (3, 4), (0, 7), (0, 13), (17, 14), (21, 18), (15, 17), (21, 7), (22, 4), (20, 1), (14, 19), (14, 12), (18, 0), (14, 9), (18, 3), (3, 5), (15, 13), (9, 0), (18, 6), (8, 18), (5, 5), (23, 8), (16, 14), (22, 15), (18, 13), (12, 15), (14, 11), (10, 11), (0, 8), (15, 0), (5, 4), (0, 10), (13, 10), (11, 15), (9, 16), (21, 0), (1, 9), (17, 6), (18, 14), (1, 14), (1, 3), (5, 19), (6, 6), (2, 5), (17, 9), (12, 0), (18, 12), (6, 17), (7, 18), (14, 15), (12, 19), (15, 5), (20, 18), (16, 1), (7, 4), (19, 2), (9, 5), (21, 3), (18, 16), (4, 15), (21, 17), (14, 5), (5, 3)?

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[User]
In a 27x22 grid, how many different paths are there from the bottom left (0, 0) to the top right (26, 21), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 5), (25, 12), (0, 14), (20, 9), (21, 7), (15, 13), (21, 13), (12, 0), (5, 14), (19, 21), (14, 2), (18, 0), (11, 7), (20, 10), (5, 8), (0, 7), (1, 9), (15, 3), (11, 19), (11, 15), (17, 2), (14, 21), (26, 14), (10, 20), (19, 19), (18, 15), (26, 8), (17, 11), (4, 11), (21, 4), (3, 20), (13, 17), (12, 4), (6, 13), (20, 0), (13, 5), (13, 13), (16, 13), (7, 6), (21, 16), (21, 10), (19, 11), (2, 18), (1, 2), (19, 12), (17, 1), (14, 20), (7, 15), (14, 18), (19, 7), (22, 2), (20, 7), (19, 17), (12, 20), (19, 15), (7, 21), (25, 13), (26, 5), (23, 12), (10, 4), (7, 10), (11, 20), (10, 19), (23, 2), (26, 2), (7, 17), (6, 15), (22, 3), (10, 0), (1, 16), (24, 15), (19, 0), (22, 11), (10, 3), (17, 8), (6, 21), (6, 3), (24, 7), (9, 4), (3, 16), (2, 20), (8, 15), (25, 20), (14, 1), (7, 4), (10, 8), (8, 7), (20, 12), (6, 4), (13, 12), (3, 5), (22, 14), (13, 6), (20, 8), (19, 18), (1, 7), (10, 16), (10, 7), (5, 20), (14, 0), (5, 12), (18, 18), (7, 14), (4, 20), (15, 7), (24, 10), (9, 17), (20, 6), (17, 0), (4, 10), (19, 2), (22, 10), (14, 9), (22, 12), (21, 15), (7, 11), (11, 12), (5, 18), (14, 16), (1, 20), (9, 16), (1, 19), (8, 9), (21, 0), (5, 16), (2, 15), (6, 16), (11, 13), (0, 10), (16, 15), (20, 15), (2, 6), (13, 1), (18, 10), (16, 4), (11, 9), (5, 10), (8, 20), (17, 10), (1, 18), (16, 14), (24, 8), (0, 12), (3, 1), (1, 14), (25, 6), (12, 9), (6, 11), (17, 12), (22, 9), (3, 19), (26, 18), (5, 9), (3, 14), (2, 16), (7, 13), (14, 6), (15, 11), (11, 17), (1, 8), (20, 18), (5, 0), (4, 3), (25, 2), (21, 14), (0, 15), (4, 12), (4, 6), (7, 16), (16, 20), (0, 1), (8, 19), (16, 17)?

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[User]
In a 24x28 grid, how many different paths are there from the bottom left (0, 0) to the top right (23, 27), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 5), (18, 24), (2, 4), (11, 5), (23, 20), (22, 3), (13, 23), (7, 22), (21, 22), (16, 7), (16, 3), (14, 17), (17, 10), (20, 17), (22, 18), (13, 17), (18, 0), (12, 9), (11, 18), (7, 14), (22, 12), (19, 16), (1, 24), (12, 19), (0, 14), (6, 7), (9, 9), (10, 19), (12, 13), (5, 16), (21, 9), (23, 6), (16, 24), (21, 7), (12, 24), (5, 13), (22, 19), (19, 12), (16, 18), (14, 4), (16, 13), (15, 25), (13, 0), (0, 26), (21, 5), (9, 2), (8, 16), (17, 4), (15, 15), (7, 20), (23, 1), (17, 6), (20, 21), (11, 10), (8, 10), (8, 6), (19, 19), (2, 7), (10, 0), (15, 20), (7, 0), (16, 6), (20, 9), (18, 22), (12, 14), (9, 22), (11, 14), (13, 20), (19, 17), (17, 18), (3, 7), (5, 4), (12, 7), (6, 5), (20, 11), (20, 3), (16, 0), (4, 6), (13, 7), (18, 4), (21, 25), (1, 4), (21, 18), (4, 13), (5, 27), (11, 17), (13, 12), (12, 23), (16, 8), (21, 15), (23, 21), (12, 5), (0, 15), (20, 10), (14, 16), (23, 17), (15, 4), (21, 10), (22, 20), (11, 27), (14, 2), (12, 4), (4, 22), (22, 16), (9, 4), (17, 16), (5, 8), (20, 26), (18, 20), (21, 23), (3, 1), (10, 21), (13, 25), (7, 25), (9, 10), (6, 23), (0, 24), (9, 17), (6, 9), (4, 9), (14, 26), (10, 27), (20, 22), (15, 24), (7, 26), (5, 17), (2, 9), (22, 27), (16, 26), (22, 1), (7, 21), (21, 2), (14, 18), (7, 4), (0, 4), (11, 23), (11, 26), (6, 25), (22, 14), (12, 22), (0, 20), (15, 14), (7, 12), (1, 3), (20, 6), (10, 16), (12, 25), (20, 2), (22, 11), (16, 12), (3, 5), (12, 0), (15, 13), (22, 15), (1, 14), (13, 27), (12, 20), (7, 1), (21, 0), (0, 25), (2, 11), (22, 2), (7, 6), (4, 21), (1, 19), (21, 21)?

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[User]
In a 27x28 grid, how many different paths are there from the bottom left (0, 0) to the top right (26, 27), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (24, 15), (4, 11), (5, 15), (4, 8), (6, 26), (8, 15), (18, 10), (8, 4), (11, 21), (2, 4), (10, 25), (6, 9), (19, 16), (3, 15), (14, 23), (14, 2), (13, 16), (25, 20), (19, 18), (8, 5), (8, 26), (8, 3), (16, 11), (22, 0), (5, 19), (18, 5), (11, 6), (24, 3), (22, 9), (4, 6), (26, 12), (20, 13), (13, 24), (22, 16), (16, 25), (4, 17), (25, 4), (15, 10), (1, 3), (11, 3), (1, 21), (18, 19), (9, 17), (1, 12), (13, 11), (18, 21), (19, 21), (11, 1), (25, 24), (26, 3), (24, 24), (1, 15), (5, 5), (15, 3), (0, 26), (11, 15), (11, 4), (4, 0), (8, 17), (12, 25), (21, 11), (18, 8), (3, 24), (24, 4), (3, 13), (3, 22), (10, 22), (0, 23), (25, 13), (25, 3), (12, 8), (2, 20), (14, 1), (16, 26), (20, 27), (22, 12), (2, 22), (11, 19), (16, 19), (23, 18), (21, 19), (9, 0), (7, 21), (9, 14), (16, 0), (2, 6), (18, 25), (12, 3), (20, 17), (1, 24), (19, 14), (14, 10), (8, 19), (12, 7), (0, 17), (24, 0), (25, 23), (4, 5), (18, 9), (15, 5), (15, 19), (19, 3), (6, 12), (7, 6), (1, 9), (14, 6), (21, 23), (16, 15), (23, 3), (12, 11), (5, 27), (21, 16), (23, 6), (15, 15), (7, 10), (5, 16), (1, 19), (1, 23), (12, 5), (2, 14), (7, 14), (12, 17), (17, 11), (21, 27), (6, 4), (24, 25), (20, 23), (6, 20), (13, 17), (14, 20), (21, 9), (0, 3), (15, 20), (10, 13), (3, 10), (3, 20), (0, 18), (11, 14), (25, 8), (17, 18), (26, 9), (17, 23), (21, 17), (7, 8), (10, 9), (8, 9), (14, 0), (11, 22), (6, 8), (15, 21), (15, 0), (7, 1), (23, 15), (14, 15), (17, 27), (25, 14), (6, 13), (9, 1), (13, 20), (21, 15), (20, 26), (2, 3)?

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[User]
In a 20x21 grid, how many different paths are there from the bottom left (0, 0) to the top right (19, 20), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (19, 10), (10, 14), (11, 2), (14, 14), (14, 12), (6, 11), (15, 5), (2, 17), (5, 13), (13, 10), (3, 20), (5, 5), (5, 1), (1, 13), (3, 10), (1, 19), (1, 5), (18, 3), (16, 8), (3, 8), (1, 1), (17, 9), (1, 17), (2, 14), (12, 13), (9, 17), (5, 18), (13, 12), (0, 19), (6, 7), (11, 3), (18, 12), (3, 5), (6, 1), (1, 10), (5, 15), (4, 7), (2, 18), (16, 9), (7, 5), (16, 2), (6, 0), (9, 3), (0, 14), (19, 0), (14, 17), (15, 7), (16, 18), (19, 7), (13, 5), (14, 9), (4, 20), (0, 11), (9, 6), (4, 16), (17, 12), (15, 20), (7, 7), (8, 18), (12, 1), (12, 10), (8, 16), (19, 17), (10, 6), (5, 9), (15, 15), (6, 13), (4, 8), (6, 10), (16, 20), (14, 13), (7, 8), (2, 12), (14, 5), (3, 14), (1, 7), (8, 5), (11, 20), (16, 10), (12, 14), (9, 1), (13, 7), (6, 14), (10, 19), (13, 1), (11, 9), (5, 4), (11, 6), (1, 9), (8, 20), (17, 8), (3, 3), (14, 4), (12, 11), (0, 5), (13, 19), (9, 11), (2, 4)?

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[User]
In a 28x27 grid, how many different paths are there from the bottom left (0, 0) to the top right (27, 26), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (14, 26), (10, 21), (12, 19), (20, 5), (19, 25), (9, 19), (10, 4), (22, 21), (3, 25), (1, 21), (18, 26), (15, 11), (16, 1), (9, 13), (21, 7), (6, 15), (12, 25), (14, 0), (27, 0), (2, 3), (11, 12), (5, 25), (19, 6), (25, 26), (7, 17), (6, 0), (23, 15), (13, 23), (13, 16), (23, 0), (16, 5), (9, 12), (25, 18), (25, 3), (23, 2), (21, 2), (26, 22), (9, 0), (10, 6), (16, 26), (21, 12), (8, 1), (8, 5), (5, 14), (5, 21), (21, 26), (13, 5), (27, 3), (24, 16), (7, 6), (19, 8), (18, 5), (18, 8), (0, 3), (24, 7), (16, 12), (3, 15), (10, 19), (13, 12), (27, 16), (6, 12), (4, 2), (18, 1), (21, 23), (1, 10), (12, 0), (18, 25), (26, 23), (20, 21), (17, 8), (24, 14), (10, 11), (5, 17), (10, 17), (1, 19), (5, 16), (27, 10), (2, 20), (6, 17), (9, 7), (22, 0), (18, 13), (9, 9), (23, 3), (5, 4), (25, 11), (27, 4), (7, 15), (25, 5), (23, 14), (27, 9), (18, 3), (17, 11), (14, 13), (27, 11), (26, 5), (19, 17), (22, 24), (26, 0), (27, 1), (23, 26), (8, 23), (2, 10), (0, 23), (22, 7), (0, 21), (20, 12), (14, 12), (2, 9), (25, 21), (27, 12), (15, 23), (15, 13), (16, 11), (2, 18), (11, 0), (13, 26), (9, 11), (2, 12), (24, 17), (17, 14), (0, 17), (23, 23), (19, 24), (1, 8), (12, 7), (13, 24), (9, 4), (0, 24), (3, 1), (16, 24), (4, 23), (0, 9), (7, 18), (15, 1), (13, 10), (10, 14), (21, 22), (18, 12), (13, 13), (9, 10), (2, 19), (10, 3), (26, 3), (25, 16), (27, 2), (14, 10), (0, 10), (14, 21), (7, 2), (7, 16), (9, 6), (14, 14), (7, 1), (15, 26), (17, 3), (1, 20), (11, 24), (22, 12), (26, 10), (21, 24), (26, 24), (3, 13), (16, 17), (22, 15), (22, 9), (5, 6), (14, 24), (19, 26), (0, 6), (13, 21), (12, 16), (18, 24), (1, 18), (11, 10), (0, 11), (8, 13), (3, 4), (20, 17), (21, 15), (12, 6), (24, 19), (3, 24), (14, 15), (11, 25), (4, 3), (16, 25), (0, 14), (9, 17), (19, 14), (10, 13), (5, 5), (10, 26), (17, 2), (16, 23), (26, 15), (0, 5), (22, 5), (4, 16), (17, 24), (16, 18), (2, 5), (18, 2), (12, 20), (25, 24), (5, 24), (1, 12), (0, 18), (12, 13), (7, 20), (0, 22), (1, 6), (16, 0), (8, 4), (26, 21), (22, 25)?

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[User]
In a 26x21 grid, how many different paths are there from the bottom left (0, 0) to the top right (25, 20), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (10, 9), (2, 8), (8, 19), (19, 15), (18, 17), (17, 16), (7, 16), (12, 8), (21, 13), (24, 0), (25, 17), (9, 14), (12, 1), (3, 2), (24, 6), (2, 7), (10, 10), (3, 1), (18, 1), (3, 6), (19, 8), (1, 12), (16, 2), (22, 7), (10, 3), (14, 3), (7, 0), (19, 11), (15, 7), (18, 18), (19, 0), (5, 5), (22, 15), (14, 19), (10, 19), (20, 9), (4, 16), (24, 19), (14, 15), (16, 10), (6, 3), (20, 3), (21, 15), (4, 8), (22, 13), (7, 14), (0, 8), (18, 19), (11, 9), (20, 12), (10, 7), (21, 12), (21, 9), (23, 3), (9, 1), (1, 20), (5, 1), (7, 15), (14, 13), (10, 14), (23, 9), (4, 18), (22, 5), (5, 11), (19, 20), (11, 12), (2, 1), (1, 7), (11, 7), (21, 4), (21, 7), (6, 0), (3, 0), (4, 7), (8, 3), (21, 8), (22, 14), (6, 10), (3, 13), (18, 14), (24, 20), (0, 3), (19, 2), (11, 15), (13, 7), (18, 15), (20, 1), (14, 16), (14, 14), (6, 6), (19, 18), (1, 6), (20, 7), (16, 11), (22, 11), (21, 3), (1, 15), (20, 17), (0, 11), (0, 20), (25, 3), (13, 12), (7, 4), (23, 19), (17, 5), (3, 12), (22, 17)?

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[User]
In a 25x21 grid, how many different paths are there from the bottom left (0, 0) to the top right (24, 20), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 16), (16, 19), (4, 2), (18, 12), (8, 3), (17, 17), (0, 14), (4, 8), (12, 9), (13, 9), (16, 6), (15, 16), (11, 1), (12, 11), (8, 5), (12, 20), (12, 12), (0, 16), (21, 12), (22, 13), (10, 7), (15, 5), (20, 19), (15, 9), (0, 12), (7, 15), (6, 3), (20, 12), (7, 1), (22, 11), (20, 9), (3, 19), (24, 13), (5, 17), (20, 1), (13, 8), (3, 7), (22, 4), (3, 1), (21, 2), (0, 20), (10, 11), (13, 15), (16, 3), (8, 9), (23, 7), (23, 1), (19, 0), (21, 13), (1, 18), (1, 3), (18, 11), (0, 6), (0, 8), (17, 3), (0, 3), (17, 11), (10, 6), (3, 11), (12, 14), (24, 1), (10, 18), (12, 8), (17, 5), (9, 17), (13, 17), (1, 15), (10, 17), (20, 3), (17, 0), (11, 0), (23, 16), (21, 4), (24, 2), (13, 7), (9, 8), (1, 11), (13, 10), (10, 16), (2, 1), (8, 6), (19, 14), (11, 20), (17, 7), (3, 14), (14, 15), (7, 4), (13, 2), (17, 9), (8, 18), (18, 17), (3, 20), (14, 10), (2, 13), (13, 16), (22, 7), (12, 1), (3, 4), (7, 16), (1, 12), (6, 1), (1, 9), (22, 8), (19, 3), (20, 10), (4, 1), (24, 3), (15, 0), (18, 9), (23, 18), (0, 2), (6, 8), (19, 10), (16, 15), (9, 7), (22, 14), (23, 15), (22, 2), (10, 2), (18, 6), (17, 14), (17, 15), (6, 4), (22, 1), (13, 14), (7, 2), (19, 13), (10, 3), (14, 12), (1, 6), (1, 4), (15, 2), (7, 13), (0, 18), (6, 9), (21, 15), (22, 18), (9, 13), (3, 16), (9, 0), (22, 0), (17, 6), (19, 6), (3, 12), (15, 1), (0, 19), (17, 20)?

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[User]
In a 22x22 grid, how many different paths are there from the bottom left (0, 0) to the top right (21, 21), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (16, 21), (15, 7), (15, 12), (0, 6), (13, 0), (16, 12), (10, 7), (10, 5), (12, 12), (5, 4), (21, 5), (20, 11), (0, 19), (8, 9), (8, 6), (3, 13), (19, 18), (2, 1), (21, 17), (13, 21), (17, 7), (7, 7), (19, 6), (14, 16), (1, 2), (13, 11), (1, 1), (21, 11), (10, 2), (18, 10), (20, 17), (3, 3), (13, 2), (20, 7), (9, 19), (0, 8), (20, 1), (16, 9), (9, 17), (6, 13), (0, 14), (10, 21), (14, 17), (1, 17), (19, 1), (8, 19), (17, 16), (19, 0), (14, 20), (7, 17), (0, 4), (1, 9), (3, 7), (20, 12), (1, 12), (21, 14), (7, 1), (16, 4), (12, 3), (0, 15), (16, 2), (13, 6), (12, 1), (11, 10), (3, 18), (14, 19), (19, 20), (4, 10), (12, 18), (4, 3), (1, 18), (19, 15), (15, 14), (3, 20), (0, 18), (11, 19), (7, 21), (20, 14), (14, 8), (4, 18), (17, 18), (9, 20), (18, 11), (21, 12), (13, 10), (9, 1), (14, 2), (11, 17), (19, 13), (0, 3), (18, 6), (7, 12), (7, 18), (6, 18), (9, 13), (7, 15), (4, 17), (7, 16), (14, 10), (13, 20), (3, 2), (7, 5), (21, 15), (14, 1), (9, 7), (19, 3), (5, 2)?

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[User]
In a 21x26 grid, how many different paths are there from the bottom left (0, 0) to the top right (20, 25), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 18), (0, 6), (20, 3), (19, 8), (14, 6), (3, 2), (3, 22), (5, 6), (19, 10), (2, 12), (11, 22), (20, 19), (4, 4), (8, 4), (6, 1), (5, 24), (0, 9), (6, 24), (0, 10), (15, 9), (20, 10), (5, 3), (0, 12), (1, 16), (14, 9), (1, 13), (14, 21), (12, 12), (4, 15), (1, 23), (4, 8), (13, 5), (3, 24), (2, 19), (5, 2), (8, 24), (4, 24), (11, 13), (11, 21), (1, 3), (15, 22), (18, 7), (3, 23), (7, 22), (15, 11), (20, 23), (1, 5), (3, 9), (8, 23), (6, 5), (10, 22), (18, 13), (15, 2), (12, 3), (8, 21), (4, 17), (4, 25), (12, 23), (1, 15), (1, 10), (7, 6), (19, 11), (16, 14), (10, 20), (9, 16), (17, 12), (14, 3), (0, 24), (12, 1), (18, 5), (14, 25), (18, 16), (3, 25), (4, 11), (20, 12), (14, 10), (14, 8), (10, 6), (11, 16), (2, 7), (15, 13), (18, 20), (9, 15), (13, 24), (9, 3), (11, 23), (0, 21), (6, 20), (19, 21), (5, 8), (9, 19), (10, 17), (18, 4), (11, 20), (10, 16), (20, 14), (18, 8), (0, 13), (10, 0), (16, 22), (13, 1), (12, 24), (2, 9), (7, 3), (6, 11), (19, 12), (11, 10), (16, 0), (0, 15), (14, 4), (1, 21), (15, 4), (20, 7), (16, 21), (16, 10), (14, 19), (17, 2), (13, 9), (1, 6), (2, 10), (1, 8), (19, 25), (9, 5), (7, 8), (12, 19), (10, 7), (9, 20), (20, 4), (12, 25), (12, 18), (11, 2), (11, 0), (11, 15), (18, 24), (13, 11), (10, 8), (6, 12), (18, 25), (0, 19), (9, 18), (17, 3), (1, 20), (3, 18), (17, 20)?

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[User]
In a 25x21 grid, how many different paths are there from the bottom left (0, 0) to the top right (24, 20), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 9), (21, 1), (22, 19), (9, 19), (2, 17), (20, 0), (5, 15), (1, 7), (13, 10), (17, 2), (14, 8), (2, 19), (21, 2), (12, 14), (17, 20), (10, 3), (0, 5), (17, 6), (17, 10), (10, 16), (2, 8), (6, 7), (5, 7), (15, 15), (1, 12), (4, 19), (21, 18), (3, 18), (6, 18), (13, 14), (11, 3), (2, 15), (23, 12), (23, 19), (24, 4), (4, 7), (15, 16), (9, 2), (8, 7), (9, 16), (3, 7), (4, 10), (16, 0), (4, 6), (21, 19), (16, 16), (1, 6), (9, 18), (8, 1), (16, 19), (19, 0), (17, 3), (13, 9), (18, 0), (10, 1), (8, 3), (10, 10), (17, 4), (21, 3), (24, 6), (20, 16), (11, 8), (19, 13), (11, 15), (24, 0), (22, 8), (24, 16), (2, 20), (12, 5), (15, 1), (21, 10), (10, 12), (17, 18), (2, 18), (0, 6), (8, 17), (20, 15), (14, 1), (9, 17), (13, 6), (7, 19), (9, 8), (3, 15), (8, 2), (17, 16), (10, 6), (15, 4), (23, 10), (1, 4), (20, 6), (6, 13), (6, 2), (5, 8), (21, 8), (1, 13), (20, 10), (19, 18), (10, 18), (14, 4), (12, 4), (0, 9), (5, 12), (20, 11), (6, 5), (16, 20), (2, 0), (9, 9), (4, 11), (15, 14), (9, 14), (22, 5), (17, 5), (0, 11), (10, 4), (3, 3), (24, 11), (4, 14), (14, 14), (16, 13), (19, 11), (11, 9), (5, 16), (18, 18), (3, 1), (15, 10), (9, 5), (2, 13), (14, 2), (12, 2), (7, 12), (24, 18)?

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[User]
In a 27x28 grid, how many different paths are there from the bottom left (0, 0) to the top right (26, 27), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 1), (6, 9), (15, 20), (2, 26), (22, 7), (20, 9), (23, 18), (26, 9), (24, 1), (26, 25), (9, 11), (20, 2), (26, 20), (21, 14), (8, 12), (12, 11), (17, 10), (13, 9), (19, 10), (18, 7), (10, 21), (11, 21), (22, 12), (21, 2), (25, 4), (11, 8), (12, 15), (6, 12), (12, 14), (25, 8), (24, 20), (12, 9), (3, 18), (6, 11), (0, 8), (0, 1), (8, 10), (20, 14), (15, 22), (20, 8), (7, 13), (10, 23), (12, 24), (1, 12), (25, 16), (4, 19), (4, 21), (9, 6), (19, 17), (8, 6), (4, 0), (18, 9), (9, 12), (20, 22), (1, 6), (12, 12), (7, 14), (1, 8), (22, 17), (13, 22), (23, 22), (25, 1), (1, 14), (10, 4), (2, 14), (6, 17), (26, 5), (7, 25), (7, 18), (26, 2), (4, 5), (15, 8), (10, 13), (9, 0), (6, 25), (16, 1), (24, 2), (15, 19), (0, 12), (16, 12), (23, 27), (16, 21), (16, 17), (7, 15), (12, 23), (16, 0), (20, 18), (11, 18), (17, 23), (8, 13), (25, 27), (22, 5), (14, 3), (3, 2), (11, 1), (6, 13), (1, 16), (15, 4), (2, 15), (14, 7), (23, 0), (7, 6), (21, 11), (3, 8), (2, 10), (13, 2), (25, 14), (19, 2), (26, 16), (0, 18), (17, 9), (7, 16), (11, 23), (19, 16), (20, 7), (12, 6), (24, 22), (21, 8), (6, 8), (20, 4), (24, 19), (23, 12), (11, 5), (7, 27), (23, 13), (1, 15), (16, 23), (2, 5), (9, 2), (4, 8), (19, 21), (18, 4), (20, 21), (4, 2), (10, 9), (6, 15), (10, 2), (19, 4), (9, 21), (13, 13), (8, 15), (21, 3), (6, 6), (25, 24), (0, 2), (14, 18), (21, 9), (13, 12), (17, 12), (2, 13), (8, 20), (7, 22), (13, 16), (15, 9), (6, 4), (14, 8), (16, 26), (7, 17), (15, 7), (14, 25), (3, 5), (9, 17), (6, 19), (21, 7), (14, 2), (10, 26), (25, 17), (5, 22), (0, 23), (15, 6), (12, 8), (23, 4), (25, 22), (14, 13), (25, 15), (12, 1), (20, 16), (14, 11), (16, 25), (18, 11), (22, 3), (7, 12), (3, 20), (25, 21), (12, 21), (16, 19), (25, 23), (6, 20), (1, 23), (10, 5), (5, 16), (13, 10), (1, 24), (4, 13), (7, 23), (17, 0), (15, 15), (9, 16), (8, 25), (4, 27), (23, 10), (15, 0), (3, 1), (14, 22), (22, 2), (18, 19)?

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[User]
In a 24x28 grid, how many different paths are there from the bottom left (0, 0) to the top right (23, 27), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 10), (20, 27), (2, 26), (17, 2), (10, 8), (5, 9), (10, 5), (21, 21), (14, 18), (19, 11), (16, 25), (19, 15), (15, 13), (18, 1), (15, 8), (16, 2), (3, 10), (1, 9), (22, 27), (19, 22), (20, 12), (11, 14), (12, 24), (18, 7), (10, 17), (15, 24), (12, 5), (13, 22), (4, 20), (4, 23), (1, 20), (18, 6), (22, 6), (7, 7), (1, 21), (12, 19), (4, 6), (12, 0), (23, 20), (5, 7), (22, 22), (14, 2), (2, 27), (13, 19), (16, 12), (23, 12), (17, 19), (1, 17), (3, 1), (15, 17), (18, 12), (7, 11), (20, 26), (12, 13), (20, 0), (18, 16), (4, 24), (5, 6), (12, 7), (0, 27), (18, 26), (12, 26), (21, 18), (0, 15), (0, 18), (12, 23), (2, 8), (21, 15), (22, 14), (7, 15), (9, 12), (23, 16), (2, 12), (15, 6), (15, 23), (6, 10), (18, 2), (13, 14), (19, 7), (21, 11), (19, 26), (19, 0), (2, 6), (16, 21), (6, 15), (11, 5), (22, 5), (10, 12), (5, 14), (6, 5), (23, 22), (20, 2), (0, 9), (22, 12), (15, 4), (15, 2), (8, 11), (9, 0), (23, 5), (20, 24), (16, 18), (0, 19), (10, 27), (1, 10), (21, 7), (2, 15), (7, 17), (6, 22), (1, 4), (0, 1), (5, 12), (21, 20), (21, 16), (0, 23), (6, 0), (10, 0), (1, 25), (10, 14), (18, 10), (9, 11), (0, 11), (17, 10), (20, 9), (15, 18), (19, 1), (17, 8), (5, 27), (14, 8), (4, 17), (11, 7), (8, 1), (10, 4), (4, 16), (2, 3), (14, 19), (18, 22), (15, 14), (13, 2), (15, 22), (19, 17), (8, 4), (22, 18), (1, 26), (12, 18), (16, 0), (8, 20), (13, 8), (21, 23)?

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[User]
In a 21x28 grid, how many different paths are there from the bottom left (0, 0) to the top right (20, 27), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 26), (19, 14), (19, 18), (15, 13), (1, 3), (7, 14), (4, 9), (6, 21), (19, 21), (5, 5), (7, 25), (15, 15), (12, 18), (0, 3), (18, 1), (6, 12), (5, 20), (7, 26), (12, 10), (1, 17), (12, 9), (10, 7), (5, 3), (8, 14), (2, 7), (13, 12), (6, 15), (4, 6), (5, 24), (8, 8), (0, 26), (2, 26), (8, 24), (10, 11), (20, 16), (5, 15), (10, 8), (18, 2), (14, 20), (13, 15), (19, 20), (5, 23), (18, 14), (9, 16), (16, 17), (1, 5), (13, 17), (11, 2), (6, 24), (19, 11), (3, 17), (2, 10), (2, 13), (9, 15), (13, 25), (6, 6), (19, 9), (14, 0), (1, 21), (4, 1), (14, 1), (10, 13), (1, 19), (2, 20), (16, 10), (8, 21), (11, 22), (2, 0), (7, 2), (18, 3), (4, 23), (13, 3), (6, 23), (17, 1), (19, 17), (18, 5), (9, 9), (0, 4), (18, 16), (1, 23), (10, 24), (0, 23), (6, 25), (15, 7), (1, 25), (7, 22), (20, 26), (12, 11), (20, 24), (0, 17), (2, 6), (7, 24), (17, 13), (14, 24), (15, 9), (0, 2), (0, 19), (11, 1), (19, 8), (10, 5), (5, 11), (15, 0), (20, 15), (15, 4), (3, 13), (7, 6), (20, 20), (1, 12), (10, 26), (3, 14), (0, 25), (12, 17), (6, 22), (10, 16), (20, 17), (19, 0), (3, 5), (13, 11), (11, 5), (13, 22), (20, 9), (12, 5), (13, 7), (6, 4), (12, 15), (0, 6), (14, 9), (15, 2), (11, 21), (9, 22), (9, 4), (2, 16), (12, 2), (5, 9), (4, 22), (15, 18)?

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[User]
In a 20x21 grid, how many different paths are there from the bottom left (0, 0) to the top right (19, 20), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (13, 15), (19, 10), (2, 17), (7, 11), (2, 18), (5, 4), (9, 1), (10, 15), (19, 5), (7, 12), (5, 8), (11, 5), (17, 0), (4, 5), (5, 9), (12, 13), (6, 7), (18, 0), (12, 16), (1, 8), (5, 2), (11, 7), (13, 18), (12, 19), (7, 1), (14, 18), (11, 19), (4, 3), (8, 8), (12, 8), (16, 8), (10, 0), (8, 4), (16, 6), (16, 18), (10, 11), (17, 20), (1, 5), (9, 16), (10, 5), (1, 10), (13, 20), (18, 14), (0, 19), (19, 6), (18, 6), (10, 17), (13, 4), (11, 0), (15, 19), (12, 1), (13, 17), (1, 6), (19, 16), (0, 11), (4, 1), (2, 10), (12, 4), (19, 3), (18, 11), (1, 9), (3, 10), (3, 15), (10, 10), (3, 0), (17, 11), (0, 18), (16, 13), (6, 13), (12, 14), (11, 17), (7, 17), (14, 11), (12, 12), (4, 14), (18, 10), (16, 1), (9, 3), (0, 15), (14, 13), (6, 18), (19, 9), (6, 1), (4, 12), (16, 19), (4, 8), (13, 1), (5, 15), (16, 10), (19, 12), (12, 5), (5, 18), (2, 16), (15, 18), (0, 12), (2, 15), (17, 7), (14, 2), (18, 5), (12, 7), (0, 4), (8, 2), (4, 20), (14, 19), (16, 12), (15, 7), (6, 8), (6, 3), (8, 14), (7, 15), (8, 6), (6, 11), (4, 2), (5, 10), (11, 1), (13, 19), (7, 10), (18, 1), (4, 19), (14, 3), (10, 14), (16, 5), (6, 16), (15, 0), (18, 4), (17, 5), (2, 1)?

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[User]
In a 24x25 grid, how many different paths are there from the bottom left (0, 0) to the top right (23, 24), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (21, 19), (3, 17), (3, 8), (0, 7), (2, 24), (10, 20), (22, 14), (8, 5), (14, 21), (16, 13), (8, 16), (20, 1), (5, 4), (23, 1), (10, 19), (18, 17), (22, 20), (11, 17), (21, 21), (21, 5), (15, 24), (16, 3), (21, 9), (5, 11), (4, 6), (3, 14), (4, 16), (0, 23), (13, 5), (16, 1), (6, 0), (3, 13), (15, 16), (11, 11), (4, 4), (17, 7), (7, 8), (10, 14), (17, 4), (7, 22), (21, 20), (18, 2), (6, 7), (9, 20), (18, 14), (10, 0), (19, 15), (4, 10), (0, 20), (13, 22), (23, 5), (3, 24), (7, 13), (2, 6), (6, 20), (5, 12), (11, 15), (14, 1), (10, 22), (22, 17), (13, 9), (2, 19), (6, 11), (23, 12), (1, 18), (14, 12), (10, 9), (6, 3), (1, 5), (22, 12), (11, 9), (10, 18), (3, 10), (5, 24), (13, 10), (15, 6), (9, 3), (12, 10), (7, 20), (14, 4), (13, 16), (10, 17), (15, 14), (7, 19), (7, 10), (22, 0), (15, 17), (23, 8), (15, 12), (16, 14), (12, 19), (2, 20), (15, 10), (19, 4), (18, 3), (13, 15), (8, 18), (12, 11), (14, 18), (6, 19), (20, 23), (1, 14), (23, 11), (1, 20), (11, 3), (2, 2), (13, 2), (19, 12), (19, 20), (11, 13), (4, 9), (19, 9), (20, 4), (21, 11), (5, 3), (0, 5), (7, 0), (21, 22), (2, 9), (22, 22), (22, 15), (10, 10), (15, 3), (0, 8), (10, 4), (5, 18), (16, 11), (1, 22), (1, 21), (5, 22), (11, 1), (7, 5), (5, 0), (2, 17), (18, 19), (13, 20), (15, 21), (20, 20), (23, 7), (14, 15), (9, 7), (13, 1), (18, 8), (23, 17), (20, 21), (21, 18), (4, 17), (7, 24), (19, 22), (23, 9), (1, 17), (18, 18), (5, 5)?

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[User]
In a 21x27 grid, how many different paths are there from the bottom left (0, 0) to the top right (20, 26), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 4), (20, 22), (0, 5), (6, 14), (5, 16), (16, 17), (5, 17), (1, 22), (9, 25), (1, 19), (7, 1), (15, 3), (2, 2), (15, 1), (2, 8), (18, 10), (5, 6), (12, 21), (11, 21), (12, 15), (4, 0), (1, 24), (5, 12), (1, 12), (6, 18), (16, 14), (16, 7), (1, 1), (8, 13), (1, 26), (20, 20), (12, 19), (12, 8), (5, 22), (8, 15), (20, 15), (7, 14), (9, 6), (13, 10), (12, 2), (15, 5), (11, 13), (1, 17), (10, 21), (20, 17), (15, 9), (19, 13), (16, 25), (13, 15), (8, 16), (14, 11), (8, 5), (14, 3), (5, 1), (13, 18), (20, 12), (20, 6), (7, 2), (15, 0), (9, 4), (16, 5), (17, 9), (10, 24), (17, 24), (0, 3), (9, 19), (11, 11), (14, 22), (12, 5), (0, 13), (3, 24), (11, 2), (7, 3), (14, 10), (13, 1), (17, 17), (12, 6), (2, 12), (9, 21), (2, 18), (10, 20), (10, 2), (20, 9), (6, 8), (11, 22), (17, 18), (3, 25), (10, 26), (8, 8), (10, 11), (16, 6), (4, 13), (18, 8), (0, 7), (5, 3), (17, 12), (11, 16), (10, 17), (6, 0), (13, 5), (8, 1), (20, 11), (6, 7), (10, 13), (18, 3), (3, 13), (16, 15), (11, 14), (4, 3), (8, 26), (7, 21), (6, 1), (2, 9), (18, 26), (17, 22), (0, 22), (9, 11), (20, 0), (1, 20), (9, 15), (13, 17), (2, 1), (15, 20), (20, 19), (18, 5), (6, 10), (12, 11), (9, 22), (13, 2), (7, 7), (6, 15), (19, 19), (17, 2), (4, 15), (7, 20), (13, 13), (6, 5), (19, 9), (19, 17), (9, 3), (3, 20), (16, 19)?

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[User]
In a 20x22 grid, how many different paths are there from the bottom left (0, 0) to the top right (19, 21), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (15, 15), (16, 2), (2, 14), (4, 19), (12, 17), (3, 13), (15, 2), (2, 1), (19, 4), (19, 14), (17, 1), (5, 16), (9, 11), (3, 2), (15, 19), (11, 12), (1, 15), (15, 12), (15, 11), (5, 18), (13, 13), (14, 12), (13, 14), (18, 9), (6, 1), (10, 7), (7, 20), (10, 10), (15, 21), (4, 16), (18, 1), (5, 9), (2, 13), (10, 15), (14, 20), (5, 3), (12, 7), (16, 8), (14, 2), (4, 0), (13, 12), (6, 18), (6, 12), (5, 15), (8, 11), (11, 17), (10, 5), (10, 14), (6, 10), (1, 12), (3, 7), (1, 6), (7, 17), (11, 4), (14, 17), (6, 21), (15, 18), (15, 14), (18, 14), (4, 7), (4, 21), (15, 5), (16, 6), (3, 20), (6, 13), (11, 1), (16, 19), (17, 18), (3, 14), (12, 18), (11, 0), (4, 20), (9, 12), (3, 1), (9, 14), (19, 6), (9, 18), (0, 9), (0, 20), (15, 1), (11, 21), (7, 9), (9, 16), (11, 8), (11, 10), (10, 11), (11, 16), (13, 7), (6, 17), (2, 4), (8, 14), (14, 7), (18, 10), (6, 0), (6, 16), (11, 14), (18, 2), (14, 6), (19, 19), (15, 16), (12, 16), (17, 2), (10, 17), (9, 0), (1, 2)?

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[User]
In a 27x28 grid, how many different paths are there from the bottom left (0, 0) to the top right (26, 27), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (10, 18), (9, 23), (16, 15), (15, 24), (4, 5), (7, 18), (25, 1), (4, 7), (0, 8), (17, 16), (3, 18), (14, 2), (22, 22), (22, 2), (15, 5), (8, 27), (9, 3), (15, 27), (20, 14), (22, 25), (4, 0), (21, 23), (4, 4), (10, 10), (11, 3), (14, 14), (23, 8), (9, 21), (9, 19), (20, 21), (19, 3), (20, 17), (23, 5), (9, 0), (1, 22), (4, 14), (16, 8), (11, 7), (8, 9), (8, 21), (14, 0), (5, 13), (22, 18), (25, 27), (3, 26), (23, 17), (11, 27), (26, 1), (19, 13), (24, 11), (2, 20), (13, 2), (15, 25), (8, 0), (14, 12), (2, 12), (24, 22), (23, 10), (21, 20), (2, 13), (18, 25), (10, 26), (9, 7), (13, 11), (23, 26), (11, 2), (25, 2), (9, 6), (10, 24), (3, 27), (14, 25), (3, 8), (16, 0), (16, 16), (13, 16), (14, 5), (19, 7), (18, 2), (2, 26), (12, 7), (5, 24), (10, 11), (11, 10), (6, 27), (12, 10), (13, 7), (13, 22), (0, 22), (9, 16), (2, 3), (23, 24), (26, 20), (10, 25), (17, 24), (3, 14), (7, 19), (20, 18), (18, 15), (22, 16), (15, 8), (4, 1), (16, 3), (25, 22), (24, 6), (13, 5), (1, 14), (8, 19), (17, 21), (26, 16), (0, 6), (1, 6), (7, 11), (13, 26), (12, 20), (21, 21), (16, 4), (12, 17), (14, 24), (2, 21), (19, 11), (19, 16), (12, 0), (7, 20), (18, 6), (9, 24), (18, 14), (17, 27), (21, 26), (14, 3), (3, 6), (11, 12), (16, 13), (8, 5), (1, 1), (10, 15), (9, 25), (13, 25), (6, 10), (13, 13), (7, 21), (18, 8), (16, 24), (21, 2), (14, 27), (25, 21), (3, 24), (22, 17), (17, 10), (18, 1), (7, 10), (16, 20), (11, 23), (8, 23), (3, 22), (14, 19), (4, 19), (26, 10), (7, 12), (3, 9), (4, 13), (26, 17), (24, 5), (7, 5), (3, 21), (21, 13), (6, 24), (3, 0), (2, 2), (17, 19), (5, 20), (8, 12), (15, 0), (2, 6), (9, 14), (16, 17)?

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[User]
In a 22x25 grid, how many different paths are there from the bottom left (0, 0) to the top right (21, 24), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 15), (5, 2), (7, 18), (16, 22), (1, 19), (3, 7), (17, 24), (7, 23), (11, 14), (1, 2), (12, 21), (17, 7), (0, 16), (14, 13), (0, 6), (10, 19), (9, 2), (6, 18), (4, 4), (3, 6), (3, 24), (10, 21), (6, 20), (6, 16), (1, 11), (0, 8), (21, 0), (4, 0), (5, 19), (13, 10), (14, 21), (16, 12), (15, 3), (9, 20), (6, 3), (12, 17), (18, 15), (21, 4), (14, 15), (19, 23), (18, 16), (9, 19), (8, 0), (13, 5), (5, 11), (20, 10), (17, 23), (7, 3), (12, 19), (10, 13), (18, 7), (10, 22), (7, 10), (13, 12), (19, 7), (18, 22), (20, 17), (6, 14), (18, 17), (15, 19), (0, 21), (9, 5), (4, 6), (0, 24), (8, 7), (20, 7), (20, 3), (8, 5), (13, 2), (14, 20), (1, 24), (12, 7), (9, 11), (15, 14), (11, 12), (10, 0), (13, 19), (9, 1), (11, 21), (13, 15), (12, 4), (11, 7), (2, 18), (15, 10), (19, 13), (1, 12), (5, 5), (13, 4), (20, 8), (0, 20), (21, 5), (19, 17), (15, 13), (11, 19), (3, 16), (1, 13), (1, 15), (5, 13), (12, 6), (6, 19), (16, 3), (20, 2), (1, 9), (0, 4), (16, 20), (18, 23), (3, 9), (18, 1), (20, 1), (14, 9), (19, 18), (18, 2), (14, 17), (10, 2), (8, 21), (15, 4), (12, 9), (20, 14), (9, 9), (4, 18), (7, 13), (7, 4), (7, 5), (5, 20), (17, 19), (1, 16), (5, 7), (14, 12), (21, 22), (6, 0), (16, 7), (11, 10), (6, 6), (10, 4), (1, 14), (16, 21), (1, 22), (17, 1), (0, 15), (4, 2), (13, 16)?

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[User]
In a 20x25 grid, how many different paths are there from the bottom left (0, 0) to the top right (19, 24), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 10), (8, 17), (14, 21), (2, 2), (16, 11), (14, 24), (8, 11), (5, 6), (15, 2), (15, 14), (17, 9), (9, 21), (10, 5), (1, 5), (19, 1), (9, 18), (12, 13), (2, 16), (11, 6), (0, 18), (18, 12), (4, 4), (5, 17), (6, 7), (18, 20), (6, 5), (1, 18), (0, 8), (16, 9), (2, 10), (7, 3), (7, 4), (15, 10), (17, 14), (13, 16), (19, 13), (9, 20), (16, 17), (2, 13), (2, 7), (3, 2), (0, 10), (2, 9), (6, 24), (9, 6), (14, 9), (13, 24), (4, 15), (17, 7), (10, 14), (6, 4), (9, 15), (1, 24), (2, 11), (5, 11), (19, 12), (7, 8), (4, 10), (3, 16), (0, 15), (2, 6), (11, 21), (19, 21), (2, 19), (12, 24), (5, 21), (3, 6), (14, 22), (0, 11), (3, 1), (6, 17), (6, 21), (9, 12), (12, 2), (7, 0), (12, 9), (14, 4), (8, 8), (6, 18), (3, 10), (18, 8), (12, 3), (16, 2), (15, 15), (4, 13), (4, 21), (3, 20), (11, 0), (8, 6), (16, 10), (17, 23), (10, 4), (19, 20), (15, 3), (7, 12), (4, 22), (9, 10), (9, 3), (18, 9), (11, 9), (9, 22), (1, 17), (10, 1), (19, 17), (19, 18), (10, 2), (16, 19), (5, 5), (13, 14), (1, 15), (19, 22), (19, 11), (15, 7), (13, 1), (13, 10), (4, 7)?

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[User]
In a 29x23 grid, how many different paths are there from the bottom left (0, 0) to the top right (28, 22), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (20, 1), (23, 11), (24, 2), (27, 9), (0, 14), (2, 12), (15, 10), (6, 18), (8, 3), (16, 14), (25, 10), (17, 16), (3, 17), (28, 15), (5, 4), (8, 15), (24, 16), (17, 10), (6, 5), (27, 20), (27, 2), (13, 1), (4, 18), (5, 3), (1, 11), (9, 15), (2, 2), (28, 0), (26, 21), (8, 22), (11, 6), (8, 10), (24, 18), (28, 3), (25, 13), (4, 1), (15, 16), (15, 17), (24, 10), (3, 11), (9, 5), (18, 0), (7, 14), (3, 2), (11, 10), (9, 18), (1, 9), (19, 1), (10, 11), (14, 12), (3, 10), (3, 5), (15, 19), (1, 20), (24, 22), (8, 12), (21, 13), (1, 1), (27, 10), (6, 16), (2, 20), (13, 3), (17, 18), (25, 0), (25, 4), (20, 13), (21, 19), (14, 19), (1, 2), (23, 2), (15, 11), (18, 16), (21, 21), (16, 7), (24, 11), (11, 15), (1, 3), (19, 22), (19, 15), (18, 8), (28, 1), (16, 9), (24, 4), (28, 18), (16, 8), (14, 10), (21, 2), (9, 6), (8, 8), (22, 1), (27, 14), (23, 6), (22, 10), (25, 8), (4, 14), (15, 15), (4, 8), (3, 18), (20, 20), (19, 0), (26, 0), (12, 22), (5, 6), (13, 9), (15, 6), (24, 17), (18, 9), (16, 11), (18, 3), (4, 21), (22, 4), (8, 6), (14, 20), (26, 11), (18, 5), (26, 3), (23, 17), (11, 22), (23, 18), (2, 7), (15, 0), (7, 7), (23, 13), (19, 2), (15, 1), (3, 1), (21, 16), (5, 20), (21, 7), (21, 11), (22, 20), (12, 14), (20, 15), (6, 22), (7, 6), (5, 17), (6, 20), (18, 18), (25, 17), (14, 18), (21, 12), (4, 16), (0, 2), (25, 19), (28, 2), (27, 19)?

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[User]
In a 25x28 grid, how many different paths are there from the bottom left (0, 0) to the top right (24, 27), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 25), (7, 2), (15, 13), (3, 8), (12, 6), (10, 23), (22, 0), (22, 2), (17, 16), (2, 26), (8, 5), (11, 18), (1, 17), (14, 2), (10, 2), (7, 0), (24, 1), (20, 10), (7, 15), (14, 26), (1, 10), (2, 20), (8, 20), (2, 1), (2, 27), (5, 4), (17, 19), (4, 3), (22, 11), (14, 21), (2, 25), (2, 16), (0, 21), (19, 6), (10, 24), (14, 16), (2, 5), (3, 27), (11, 26), (4, 16), (14, 10), (4, 25), (6, 21), (8, 0), (1, 15), (18, 3), (14, 20), (3, 21), (4, 5), (11, 22), (24, 18), (13, 17), (9, 8), (4, 19), (9, 18), (19, 4), (8, 24), (9, 5), (16, 22), (15, 22), (11, 9), (16, 1), (12, 10), (13, 20), (19, 17), (1, 7), (12, 11), (3, 20), (13, 6), (23, 7), (17, 13), (7, 10), (2, 23), (5, 23), (2, 3), (22, 23), (11, 7), (1, 27), (10, 10), (20, 0), (13, 13), (15, 17), (15, 4), (14, 14), (22, 9), (3, 17), (15, 23), (11, 23), (6, 5), (15, 16), (14, 0), (20, 14), (3, 25), (12, 14), (6, 25), (8, 10), (21, 26), (9, 2), (4, 27), (14, 19), (0, 16), (5, 26), (21, 23), (6, 4), (7, 25), (18, 13), (13, 11), (24, 19), (24, 11), (18, 15), (11, 27), (3, 2), (10, 1), (4, 17), (20, 3), (20, 27), (11, 16), (20, 15), (9, 16), (7, 19), (19, 25), (14, 27), (20, 6), (5, 10), (0, 23), (24, 17), (14, 25), (2, 13), (15, 20), (10, 21), (16, 26), (20, 11), (24, 23), (1, 18), (18, 4), (4, 0), (4, 9), (4, 2), (9, 0), (16, 21), (7, 27), (20, 26), (7, 22), (16, 20), (19, 14), (1, 4), (21, 15), (8, 16), (5, 9), (16, 12), (13, 0), (2, 8), (8, 17), (2, 7), (19, 2), (5, 18), (16, 24), (20, 2), (20, 24), (11, 12), (12, 9), (15, 21), (4, 26), (1, 9), (15, 5), (1, 24), (19, 16), (17, 26), (3, 15), (7, 5), (4, 20), (13, 2), (16, 18), (17, 5), (0, 14), (10, 15), (13, 10), (7, 18), (0, 6), (14, 11), (14, 18), (17, 14), (10, 17), (22, 18), (7, 14), (8, 7), (9, 10), (20, 23), (22, 24), (10, 7), (15, 19), (19, 12), (11, 3)?

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[User]
In a 28x20 grid, how many different paths are there from the bottom left (0, 0) to the top right (27, 19), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (24, 3), (10, 14), (22, 13), (7, 16), (22, 17), (25, 1), (18, 5), (8, 18), (27, 3), (2, 12), (23, 9), (14, 5), (9, 16), (5, 11), (11, 18), (13, 8), (4, 19), (21, 13), (4, 6), (3, 3), (20, 14), (16, 3), (9, 4), (10, 10), (25, 4), (17, 7), (9, 13), (23, 10), (16, 16), (1, 12), (20, 5), (22, 11), (23, 1), (13, 17), (11, 2), (11, 17), (1, 1), (17, 17), (14, 10), (18, 1), (24, 9), (23, 17), (9, 14), (9, 15), (0, 3), (5, 0), (7, 17), (10, 1), (14, 14), (12, 9), (23, 3), (24, 19), (3, 4), (26, 14), (11, 9), (20, 4), (7, 9), (16, 9), (14, 3), (4, 13), (24, 14), (14, 9), (7, 6), (15, 10), (20, 17), (3, 6), (11, 16), (1, 6), (22, 18), (15, 14), (24, 8), (10, 15), (19, 4), (18, 7), (27, 7), (7, 11), (23, 2), (21, 16), (4, 8), (25, 13), (16, 12), (4, 11), (20, 2), (17, 14), (1, 0), (18, 8), (17, 19), (8, 15), (23, 4), (2, 7), (25, 0), (13, 6), (22, 5), (24, 7), (6, 15), (20, 16), (7, 19), (8, 0), (14, 19), (9, 1), (3, 11), (19, 14), (11, 7), (6, 12), (2, 19), (17, 0), (8, 14), (10, 12), (27, 8), (12, 2), (21, 10), (5, 9), (19, 2), (18, 11), (7, 13), (5, 7), (22, 4), (11, 13), (6, 1), (8, 11), (5, 13), (5, 14), (3, 2)?

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[User]
In a 29x24 grid, how many different paths are there from the bottom left (0, 0) to the top right (28, 23), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (25, 12), (10, 8), (5, 17), (24, 19), (6, 22), (8, 6), (12, 0), (13, 5), (21, 10), (9, 6), (21, 5), (20, 18), (8, 9), (11, 4), (21, 19), (14, 17), (10, 20), (0, 20), (20, 17), (0, 18), (7, 12), (4, 10), (14, 0), (10, 14), (13, 8), (26, 7), (25, 8), (27, 3), (18, 13), (26, 6), (17, 1), (7, 20), (4, 22), (3, 11), (0, 15), (20, 0), (15, 5), (17, 15), (23, 6), (15, 18), (23, 7), (4, 20), (19, 6), (14, 1), (24, 9), (9, 21), (1, 17), (4, 2), (15, 14), (11, 10), (9, 10), (8, 13), (23, 4), (14, 4), (5, 1), (2, 7), (25, 9), (13, 21), (1, 10), (6, 5), (7, 8), (28, 7), (27, 1), (10, 11), (11, 3), (26, 10), (26, 0), (6, 13), (26, 21), (24, 15), (4, 12), (26, 23), (9, 22), (23, 12), (9, 0), (19, 4), (1, 14), (21, 7), (3, 10), (22, 3), (5, 10), (0, 1), (7, 13), (24, 7), (5, 6), (21, 11), (16, 20), (11, 2), (7, 0), (5, 4), (28, 17), (4, 15), (0, 17), (15, 15), (22, 14), (28, 8), (24, 23), (19, 18), (23, 11), (17, 3), (18, 4), (28, 11), (22, 22), (22, 20), (16, 7), (26, 8), (21, 12), (21, 0), (28, 1), (15, 16), (5, 21), (9, 17), (12, 20), (8, 14), (17, 6), (14, 21), (3, 8), (27, 17), (25, 10), (7, 23), (20, 15), (14, 13), (21, 3), (27, 8), (18, 17), (6, 7), (23, 0), (26, 15), (3, 12), (6, 10), (11, 5), (9, 20), (11, 19), (25, 23), (18, 7), (19, 17), (21, 8), (24, 20), (25, 22), (3, 23), (5, 13), (4, 3), (8, 15), (21, 17), (5, 19), (25, 4), (21, 23), (14, 7), (16, 23), (20, 10), (2, 19), (27, 16), (26, 17), (17, 22), (20, 2), (0, 10), (15, 1), (18, 5), (19, 12), (1, 9), (16, 0), (1, 1), (13, 10), (12, 11), (16, 10), (16, 13), (26, 2), (8, 16), (2, 20), (6, 16), (10, 10), (5, 7), (27, 22), (3, 22), (9, 3), (26, 22), (1, 5), (1, 20), (27, 9), (19, 11), (7, 5), (28, 20), (21, 6), (23, 19), (9, 18), (11, 1), (1, 3), (17, 20), (21, 20), (24, 10), (22, 18), (0, 6), (22, 9)?

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[User]
In a 29x22 grid, how many different paths are there from the bottom left (0, 0) to the top right (28, 21), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (15, 2), (0, 14), (2, 10), (23, 0), (8, 1), (12, 11), (14, 20), (22, 1), (6, 21), (25, 8), (27, 20), (25, 11), (26, 9), (22, 0), (7, 3), (0, 3), (28, 16), (7, 19), (12, 20), (18, 10), (13, 19), (2, 0), (12, 4), (7, 7), (12, 5), (3, 6), (2, 4), (18, 21), (4, 16), (8, 19), (7, 2), (12, 19), (9, 14), (1, 20), (2, 21), (3, 0), (8, 3), (4, 20), (10, 14), (1, 21), (7, 15), (11, 16), (19, 9), (23, 11), (18, 12), (7, 12), (21, 13), (5, 4), (12, 12), (9, 9), (9, 4), (22, 19), (28, 5), (12, 6), (2, 9), (4, 9), (9, 11), (11, 0), (17, 1), (5, 16), (13, 2), (7, 16), (4, 10), (13, 6), (27, 14), (25, 17), (7, 1), (24, 20), (4, 5), (4, 15), (8, 12), (15, 0), (15, 5), (11, 5), (4, 0), (27, 4), (9, 18), (20, 16), (10, 21), (4, 17), (15, 4), (13, 21), (11, 6), (25, 1), (22, 10), (5, 7), (5, 6), (8, 7), (15, 15), (28, 12), (12, 21), (12, 0), (18, 1), (21, 14), (15, 7), (9, 6), (27, 17), (24, 12), (11, 9), (19, 14), (9, 5), (25, 2), (22, 12), (17, 6), (10, 16), (10, 5), (25, 3), (22, 6), (17, 11), (23, 19), (1, 11), (24, 18), (19, 19), (25, 5), (18, 15), (16, 11), (24, 21)?

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[User]
In a 29x29 grid, how many different paths are there from the bottom left (0, 0) to the top right (28, 28), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 26), (18, 20), (2, 18), (24, 0), (23, 21), (11, 4), (5, 10), (1, 22), (20, 21), (23, 7), (3, 20), (8, 8), (0, 23), (26, 3), (19, 21), (19, 0), (7, 18), (11, 21), (13, 6), (14, 27), (25, 4), (4, 17), (21, 21), (1, 17), (12, 16), (6, 12), (9, 7), (7, 2), (13, 27), (15, 18), (8, 17), (22, 3), (26, 24), (1, 1), (1, 21), (24, 17), (8, 18), (13, 18), (23, 3), (8, 25), (11, 22), (4, 27), (17, 18), (10, 1), (27, 10), (18, 23), (28, 22), (5, 8), (15, 13), (5, 1), (17, 27), (28, 0), (17, 13), (1, 26), (12, 3), (21, 28), (15, 17), (10, 13), (20, 7), (20, 11), (27, 6), (23, 13), (13, 15), (16, 13), (16, 28), (18, 24), (16, 14), (14, 3), (18, 8), (5, 15), (1, 25), (16, 7), (6, 5), (17, 19), (7, 4), (6, 0), (6, 6), (17, 4), (25, 19), (28, 25), (16, 4), (26, 28), (11, 15), (12, 11), (2, 26), (11, 14), (0, 28), (26, 21), (6, 4), (25, 13), (18, 1), (23, 19), (22, 18), (26, 23), (5, 18), (14, 11), (24, 3), (10, 12), (14, 19), (23, 16), (18, 12), (21, 19), (14, 8), (26, 16), (12, 4), (6, 11), (24, 15), (2, 15), (24, 9), (6, 1), (2, 6), (22, 24), (9, 25), (5, 0), (0, 3), (12, 17), (14, 24), (28, 10), (10, 22), (25, 21), (13, 21), (28, 6), (2, 21), (12, 28), (20, 15), (19, 22), (10, 11), (19, 17), (21, 12), (19, 5), (17, 17), (0, 10), (3, 26), (19, 6), (5, 20), (8, 10), (27, 18), (6, 25), (4, 1), (3, 27), (0, 2), (10, 14), (28, 4), (6, 28), (4, 19), (19, 20), (3, 16), (26, 4), (6, 19), (14, 18), (23, 9), (28, 5), (14, 15), (27, 28), (2, 20), (0, 13), (21, 17), (19, 27), (24, 16), (8, 6), (22, 1), (12, 5), (8, 15), (15, 27), (0, 16), (11, 5), (8, 2), (14, 9), (7, 3), (20, 22), (2, 14), (18, 13), (16, 6), (8, 21), (4, 11), (4, 0), (13, 3), (18, 7), (2, 8), (24, 19), (26, 5), (28, 2), (27, 21), (9, 9), (19, 13), (27, 9), (4, 20), (24, 7), (19, 9), (22, 8), (7, 15), (5, 13), (16, 25), (27, 1), (25, 26), (8, 26), (7, 8), (7, 10), (27, 0), (26, 2), (21, 13), (10, 20), (24, 25), (21, 24), (0, 21), (20, 14), (14, 5), (21, 3), (21, 0), (4, 28), (7, 0), (23, 11), (1, 13), (16, 10), (1, 11), (16, 22), (8, 4), (12, 8), (25, 17), (11, 17), (5, 26), (17, 8), (7, 12), (0, 26), (12, 6), (14, 20)?

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[User]
In a 29x23 grid, how many different paths are there from the bottom left (0, 0) to the top right (28, 22), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 22), (24, 0), (20, 2), (27, 21), (25, 20), (22, 7), (21, 6), (15, 20), (4, 4), (1, 1), (23, 21), (2, 21), (23, 6), (28, 1), (0, 2), (0, 15), (12, 21), (12, 2), (9, 6), (27, 4), (2, 12), (7, 10), (26, 8), (24, 8), (7, 17), (27, 19), (19, 15), (1, 12), (23, 0), (27, 5), (1, 22), (3, 20), (28, 0), (24, 14), (20, 20), (6, 7), (21, 17), (18, 1), (16, 8), (8, 7), (19, 6), (4, 0), (1, 8), (26, 19), (22, 9), (10, 13), (27, 17), (12, 17), (10, 14), (20, 4), (24, 15), (3, 17), (16, 4), (25, 12), (3, 7), (26, 13), (13, 5), (25, 2), (13, 16), (24, 7), (1, 10), (17, 1), (24, 19), (7, 6), (3, 13), (11, 13), (0, 6), (7, 11), (27, 7), (25, 6), (23, 9), (5, 8), (28, 13), (9, 8), (14, 11), (5, 0), (7, 1), (8, 22), (19, 13), (12, 9), (11, 5), (20, 3), (10, 5), (12, 7), (12, 6), (9, 14), (15, 21), (0, 17), (6, 22), (25, 14), (28, 11), (5, 2), (10, 2), (20, 8), (2, 22), (14, 16), (8, 3), (1, 19), (14, 22), (26, 16), (18, 13), (6, 8), (8, 17), (9, 21), (0, 19), (8, 16), (8, 8), (19, 2), (10, 3), (17, 20), (23, 15), (22, 0), (9, 19), (27, 3), (12, 5), (21, 19), (27, 11), (14, 19), (1, 3), (8, 9), (28, 16), (12, 15), (1, 20), (6, 11), (9, 11), (25, 11), (10, 1), (25, 0), (2, 9), (24, 16), (9, 7), (26, 10), (21, 0), (12, 10), (3, 4), (15, 14), (22, 12), (13, 8), (11, 2), (24, 17), (21, 14), (7, 22), (22, 19), (12, 18), (24, 20), (5, 14), (5, 18), (17, 2), (8, 0), (2, 5), (25, 13), (16, 2), (3, 19), (4, 22), (8, 19), (5, 22), (24, 22), (20, 17), (22, 21), (8, 1), (8, 20), (16, 15)?

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[User]
In a 20x28 grid, how many different paths are there from the bottom left (0, 0) to the top right (19, 27), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 12), (13, 15), (2, 21), (7, 5), (14, 11), (4, 26), (7, 21), (15, 22), (16, 5), (7, 12), (9, 16), (11, 26), (2, 24), (9, 21), (14, 19), (0, 24), (8, 25), (15, 20), (9, 13), (8, 2), (7, 15), (10, 20), (2, 14), (0, 20), (18, 16), (12, 6), (16, 9), (8, 20), (6, 25), (12, 11), (13, 26), (6, 17), (3, 15), (13, 9), (15, 21), (11, 18), (15, 16), (15, 24), (12, 15), (6, 2), (1, 24), (10, 26), (17, 27), (4, 25), (10, 19), (13, 10), (5, 26), (13, 12), (17, 13), (9, 2), (2, 19), (10, 25), (2, 5), (1, 0), (5, 15), (9, 26), (2, 2), (14, 3), (17, 17), (19, 20), (1, 25), (13, 13), (1, 23), (19, 5), (11, 16), (6, 11), (14, 6), (8, 19), (1, 8), (5, 16), (0, 15), (9, 23), (15, 19), (12, 18), (10, 12), (4, 18), (0, 4), (16, 2), (16, 11), (0, 8), (7, 19), (14, 8), (7, 2), (6, 7), (4, 2), (14, 1), (12, 27), (10, 14), (17, 9), (5, 22), (10, 27), (11, 25), (11, 7), (9, 5), (3, 17), (4, 12), (12, 19), (16, 10), (18, 2), (17, 25), (19, 13), (15, 0), (19, 22), (11, 14), (8, 4), (10, 15), (6, 24), (12, 26), (6, 13), (5, 17), (12, 10), (15, 23), (6, 15), (11, 20), (9, 0), (1, 12), (11, 11), (14, 20), (13, 20), (17, 19), (5, 6), (18, 4), (5, 4), (15, 13), (16, 20)?

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[User]
In a 28x28 grid, how many different paths are there from the bottom left (0, 0) to the top right (27, 27), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 14), (23, 4), (3, 22), (14, 17), (27, 25), (4, 15), (24, 7), (21, 26), (1, 21), (12, 0), (15, 6), (20, 26), (22, 12), (8, 6), (4, 22), (20, 27), (25, 8), (15, 23), (22, 25), (11, 20), (7, 23), (27, 21), (25, 20), (2, 15), (13, 9), (17, 5), (4, 13), (4, 20), (0, 5), (3, 9), (22, 5), (1, 12), (20, 16), (19, 17), (25, 23), (9, 27), (26, 11), (26, 23), (13, 25), (25, 2), (25, 0), (14, 1), (13, 6), (15, 9), (19, 13), (19, 20), (22, 23), (24, 19), (20, 5), (9, 4), (3, 15), (14, 2), (11, 1), (25, 27), (4, 18), (21, 14), (23, 9), (21, 16), (16, 17), (26, 12), (17, 18), (6, 2), (12, 26), (25, 24), (7, 15), (17, 25), (12, 7), (3, 27), (1, 26), (19, 10), (23, 26), (4, 4), (26, 8), (11, 0), (21, 15), (25, 17), (1, 14), (14, 26), (0, 27), (2, 1), (26, 25), (17, 19), (15, 8), (22, 16), (6, 27), (0, 13), (10, 7), (3, 12), (17, 23), (7, 22), (21, 18), (3, 14), (14, 25), (16, 12), (14, 5), (1, 5), (18, 16), (5, 10), (7, 16), (24, 14), (6, 0), (24, 23), (2, 14), (10, 17), (6, 8), (11, 19), (1, 19), (26, 6), (27, 17), (2, 4), (15, 16), (6, 18), (6, 13), (11, 27), (1, 11), (9, 14), (26, 5), (12, 13), (11, 23), (7, 13), (26, 15), (19, 4), (6, 4), (13, 5), (10, 12), (25, 4), (14, 18), (2, 16), (2, 23), (27, 11), (17, 3), (21, 4), (22, 15), (11, 21), (17, 15), (15, 4), (17, 9), (27, 16), (9, 25), (23, 2), (18, 27), (20, 25), (13, 11), (1, 9), (24, 26), (0, 17), (3, 18), (4, 17), (20, 11), (24, 5), (0, 25), (18, 7), (10, 22), (12, 27), (1, 27), (15, 21), (0, 6), (4, 2), (7, 8), (12, 21), (18, 25), (27, 6), (25, 16), (17, 22), (11, 16), (26, 3), (26, 2), (14, 14), (9, 20), (18, 0), (21, 25), (25, 21), (18, 4), (27, 10), (1, 17), (7, 7), (13, 13), (23, 8), (1, 3), (11, 12), (10, 2), (10, 11), (12, 19), (23, 23), (21, 2), (15, 5), (5, 13), (20, 13), (27, 4), (5, 15), (0, 9), (8, 2), (19, 0), (13, 18), (3, 20), (27, 5), (13, 19), (13, 20), (13, 23), (20, 2), (12, 22), (17, 17)?

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[User]
In a 27x27 grid, how many different paths are there from the bottom left (0, 0) to the top right (26, 26), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 5), (20, 7), (21, 16), (15, 18), (16, 20), (4, 22), (26, 18), (6, 26), (22, 22), (26, 19), (15, 12), (19, 7), (17, 22), (20, 25), (25, 23), (15, 7), (11, 21), (22, 20), (17, 15), (2, 22), (17, 3), (23, 26), (6, 17), (21, 12), (9, 20), (10, 16), (18, 21), (25, 15), (4, 24), (3, 22), (8, 14), (16, 8), (24, 9), (5, 24), (6, 1), (11, 2), (12, 15), (4, 17), (20, 10), (0, 18), (3, 18), (12, 24), (3, 12), (2, 17), (9, 8), (6, 6), (12, 21), (21, 20), (11, 18), (26, 2), (11, 9), (25, 25), (4, 0), (23, 1), (0, 9), (3, 7), (22, 26), (20, 1), (12, 0), (2, 16), (3, 8), (0, 12), (21, 19), (10, 17), (20, 5), (12, 4), (14, 0), (18, 16), (9, 26), (5, 9), (11, 5), (15, 1), (23, 6), (15, 26), (23, 22), (8, 20), (22, 9), (16, 1), (1, 9), (10, 25), (13, 16), (15, 25), (10, 15), (18, 19), (13, 1), (19, 1), (16, 21), (2, 8), (6, 14), (5, 2), (26, 6), (12, 22), (24, 18), (15, 5), (22, 11), (6, 4), (17, 14), (16, 4), (13, 7), (23, 14), (24, 15), (23, 2), (23, 20), (24, 21), (9, 13), (15, 14), (13, 4), (15, 22), (1, 7), (10, 20), (13, 0), (6, 13), (7, 16), (14, 2), (20, 26), (8, 1), (0, 5), (23, 3), (21, 21), (18, 9), (11, 16), (6, 10), (0, 15), (0, 20), (13, 20), (22, 10), (19, 10), (6, 9), (25, 5), (7, 14), (22, 1), (25, 1), (10, 5), (26, 20), (21, 9), (19, 21), (14, 24), (17, 11), (25, 11), (5, 12), (22, 12), (16, 5), (11, 6), (13, 5), (26, 1), (1, 25), (0, 3), (20, 8), (7, 8), (11, 15), (5, 4), (11, 17), (8, 18), (13, 11), (12, 5), (15, 16), (20, 17), (18, 8), (5, 22), (12, 13), (16, 12), (12, 9), (9, 23), (26, 11), (24, 11), (8, 19), (8, 21), (9, 1), (10, 0), (3, 0), (22, 24), (16, 25), (21, 13), (1, 13), (19, 14), (25, 19), (4, 18), (6, 0), (3, 21), (12, 10), (1, 15), (10, 26), (18, 13), (3, 3), (4, 20), (19, 23), (18, 22), (9, 19), (9, 22), (11, 19), (18, 0), (25, 26), (24, 7), (25, 2), (3, 14), (0, 24), (16, 24), (6, 23), (3, 11), (5, 15), (12, 25), (21, 23), (18, 12), (10, 23), (20, 22), (14, 13), (5, 25), (4, 1), (1, 22), (24, 13), (23, 13), (24, 22), (7, 4), (20, 21), (24, 25), (0, 1)?

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[User]
In a 22x21 grid, how many different paths are there from the bottom left (0, 0) to the top right (21, 20), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 13), (0, 16), (10, 9), (17, 1), (15, 16), (17, 18), (8, 16), (19, 15), (0, 5), (6, 7), (18, 8), (8, 9), (7, 10), (19, 6), (20, 11), (16, 6), (3, 11), (2, 4), (11, 0), (17, 13), (10, 13), (20, 10), (0, 2), (6, 13), (0, 11), (0, 8), (1, 7), (20, 7), (13, 14), (6, 20), (18, 3), (6, 2), (5, 1), (16, 0), (5, 19), (14, 9), (9, 0), (14, 4), (15, 5), (13, 16), (7, 4), (17, 20), (6, 16), (10, 5), (15, 8), (11, 20), (5, 15), (3, 18), (20, 3), (6, 14), (15, 19), (8, 3), (15, 10), (13, 7), (5, 18), (6, 17), (14, 6), (10, 4), (7, 3), (7, 13), (5, 12), (19, 8), (7, 12), (1, 8), (18, 2), (17, 3), (6, 19), (0, 3), (10, 7), (12, 0), (16, 4), (12, 18), (2, 20), (16, 13), (21, 1), (0, 7), (7, 18), (13, 3), (3, 10), (17, 15), (17, 14), (19, 16), (21, 7), (5, 4), (1, 18), (7, 17), (17, 6), (16, 2), (7, 20), (12, 19), (18, 15), (4, 7), (6, 1), (3, 9), (5, 3), (21, 8), (1, 5), (9, 6), (12, 8), (21, 10), (7, 0), (1, 14), (17, 7), (10, 20), (2, 2), (21, 18), (16, 9), (17, 8), (7, 9), (2, 12), (2, 17), (21, 11), (21, 12), (8, 11), (0, 10), (2, 19), (10, 11), (0, 4), (15, 12), (13, 17), (12, 12), (5, 0), (4, 11), (19, 10), (13, 8), (11, 18), (10, 3), (2, 0), (5, 9), (20, 12), (16, 7), (12, 14), (15, 17), (3, 20), (10, 0), (13, 9), (1, 20), (11, 19), (10, 8), (3, 4)?

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[User]
In a 26x28 grid, how many different paths are there from the bottom left (0, 0) to the top right (25, 27), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 15), (15, 17), (16, 10), (23, 21), (20, 18), (1, 14), (4, 12), (9, 13), (8, 25), (5, 27), (25, 21), (0, 25), (14, 25), (8, 27), (6, 19), (10, 20), (25, 13), (21, 18), (1, 26), (10, 12), (12, 15), (0, 23), (0, 4), (19, 3), (7, 26), (24, 25), (2, 5), (9, 27), (2, 0), (21, 21), (9, 24), (23, 20), (23, 11), (6, 20), (13, 9), (4, 4), (0, 21), (4, 20), (2, 2), (25, 22), (16, 22), (21, 24), (8, 4), (15, 12), (23, 15), (13, 11), (19, 22), (22, 16), (1, 15), (0, 1), (16, 25), (7, 9), (13, 16), (16, 20), (25, 23), (16, 12), (4, 16), (8, 2), (11, 2), (6, 18), (24, 8), (6, 27), (4, 11), (5, 17), (17, 10), (14, 3), (11, 21), (16, 26), (8, 1), (3, 3), (19, 6), (19, 20), (24, 12), (15, 3), (17, 21), (6, 10), (25, 25), (3, 21), (23, 14), (22, 26), (4, 19), (11, 0), (18, 25), (3, 17), (23, 18), (16, 7), (17, 25), (12, 2), (12, 24), (25, 16), (13, 20), (20, 14), (0, 5), (8, 21), (22, 5), (17, 27), (19, 1), (9, 22), (15, 4), (4, 22), (16, 19), (2, 11), (11, 4), (20, 11), (13, 22), (5, 5), (9, 16), (16, 17), (17, 11), (19, 11), (10, 24), (9, 14), (5, 16), (2, 3), (19, 9), (25, 10), (14, 14), (24, 11), (17, 14), (5, 3), (12, 19), (0, 17), (22, 1), (25, 8), (7, 27), (10, 6), (12, 22), (15, 0), (3, 27), (21, 16), (7, 17), (25, 12), (1, 4), (3, 8), (10, 22), (24, 27), (12, 6), (9, 17), (23, 27), (23, 13), (1, 5), (1, 7), (1, 17), (0, 13), (18, 3), (24, 17), (13, 7), (2, 6), (5, 20), (23, 8), (8, 12), (23, 10), (13, 5), (5, 19), (0, 2), (18, 26), (14, 15), (6, 16), (19, 26), (3, 10), (16, 27), (0, 9), (10, 25), (20, 22), (3, 2), (20, 6), (13, 19), (20, 24), (19, 2), (25, 15), (24, 0), (4, 24), (13, 1), (19, 16), (4, 21), (18, 9), (17, 3), (13, 8), (13, 14), (25, 9), (0, 15), (6, 2), (20, 13), (19, 19)?

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[User]
In a 26x26 grid, how many different paths are there from the bottom left (0, 0) to the top right (25, 25), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 6), (24, 6), (4, 8), (20, 16), (23, 11), (19, 9), (14, 25), (25, 8), (24, 21), (16, 13), (25, 19), (22, 16), (3, 16), (23, 15), (17, 6), (11, 15), (21, 15), (14, 24), (10, 22), (4, 10), (7, 23), (12, 7), (16, 9), (2, 24), (25, 11), (6, 12), (6, 9), (11, 17), (23, 3), (17, 14), (17, 9), (10, 15), (10, 8), (12, 12), (8, 13), (5, 20), (9, 0), (17, 17), (22, 2), (14, 3), (0, 14), (4, 1), (23, 8), (14, 12), (8, 8), (0, 22), (17, 20), (15, 0), (24, 1), (9, 19), (1, 22), (1, 19), (1, 10), (9, 12), (1, 11), (9, 25), (16, 5), (7, 11), (7, 17), (23, 13), (11, 7), (15, 25), (13, 1), (16, 11), (19, 19), (2, 8), (9, 8), (8, 25), (25, 17), (7, 19), (25, 14), (20, 24), (23, 22), (17, 22), (2, 7), (17, 4), (20, 15), (5, 1), (14, 22), (8, 14), (14, 8), (16, 6), (15, 22), (21, 2), (20, 11), (18, 6), (17, 11), (0, 1), (12, 14), (1, 16), (14, 23), (15, 4), (7, 20), (2, 3), (20, 0), (16, 17), (6, 8), (23, 14), (1, 15), (24, 15), (23, 16), (13, 25), (11, 18), (17, 25), (16, 3), (11, 12), (16, 23), (4, 3), (1, 2), (8, 21), (24, 8), (6, 5), (13, 13), (0, 23), (7, 0), (19, 8), (8, 3), (12, 8), (8, 15), (15, 18), (21, 10), (22, 10), (20, 25), (16, 0), (1, 7), (20, 13), (0, 4), (17, 3), (9, 23), (3, 17), (20, 10), (20, 20), (6, 1), (8, 22), (8, 2), (3, 10), (10, 23), (23, 23), (23, 10), (10, 17), (13, 7), (6, 2), (0, 10), (7, 4), (11, 5), (12, 9), (24, 13), (18, 22), (1, 8), (18, 16), (4, 24), (21, 17), (25, 22), (4, 14), (20, 3), (24, 19), (3, 24), (16, 12), (6, 4), (5, 22), (10, 12), (20, 9), (13, 9), (25, 9), (2, 18), (4, 13), (13, 17), (19, 24), (12, 0), (11, 20), (13, 6), (5, 3), (15, 11), (12, 22), (16, 14), (4, 5), (14, 16), (14, 19), (0, 18), (16, 25), (15, 17), (24, 17), (6, 17)?

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[User]
In a 29x24 grid, how many different paths are there from the bottom left (0, 0) to the top right (28, 23), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (26, 14), (13, 11), (20, 15), (25, 7), (18, 0), (13, 21), (9, 15), (20, 3), (17, 13), (10, 13), (12, 15), (6, 12), (7, 10), (4, 21), (9, 20), (23, 21), (5, 22), (21, 1), (4, 20), (25, 1), (3, 7), (25, 13), (10, 19), (1, 16), (9, 14), (18, 6), (11, 23), (17, 10), (7, 0), (4, 0), (5, 19), (10, 7), (13, 23), (18, 12), (1, 12), (2, 5), (17, 1), (28, 11), (0, 22), (10, 6), (10, 4), (18, 22), (19, 18), (20, 4), (17, 21), (7, 19), (16, 16), (24, 17), (17, 4), (0, 23), (13, 6), (27, 17), (6, 1), (21, 5), (1, 10), (12, 6), (6, 10), (5, 17), (8, 1), (10, 2), (17, 5), (26, 0), (5, 7), (27, 23), (14, 3), (25, 11), (10, 21), (28, 10), (20, 1), (20, 17), (26, 20), (0, 4), (10, 20), (28, 4), (8, 2), (19, 20), (1, 0), (11, 14), (6, 0), (17, 0), (25, 5), (16, 4), (2, 23), (4, 14), (21, 18), (18, 17), (22, 14), (5, 3), (19, 12), (18, 19), (22, 22), (12, 18), (6, 18), (18, 18), (5, 6), (9, 4), (5, 8), (19, 15), (22, 0), (13, 8), (14, 22), (14, 11), (6, 14), (4, 2), (23, 7), (28, 7), (3, 12), (2, 16), (13, 16), (5, 21), (3, 10), (4, 23), (17, 20), (25, 9), (26, 7), (1, 2), (15, 10), (17, 23), (0, 3), (22, 23), (27, 0), (9, 23), (15, 9), (15, 3), (20, 23), (17, 7), (18, 8), (18, 14), (7, 20), (9, 7), (15, 12), (26, 5), (8, 6), (24, 15), (24, 18), (27, 3), (7, 7), (15, 21), (7, 13), (7, 15), (12, 5), (24, 23), (2, 8), (5, 16), (16, 21), (5, 4), (4, 7), (13, 4), (18, 16), (7, 5), (9, 22), (0, 8), (24, 14)?

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[User]
In a 28x27 grid, how many different paths are there from the bottom left (0, 0) to the top right (27, 26), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 18), (20, 6), (23, 21), (27, 14), (9, 24), (24, 24), (8, 2), (12, 2), (23, 12), (19, 20), (22, 17), (3, 15), (26, 8), (21, 14), (22, 14), (26, 22), (4, 12), (11, 12), (14, 17), (27, 1), (20, 26), (10, 12), (11, 10), (24, 16), (3, 20), (3, 23), (18, 15), (23, 14), (1, 8), (27, 5), (17, 2), (14, 24), (18, 19), (22, 12), (10, 2), (23, 11), (16, 1), (16, 16), (2, 20), (4, 0), (12, 0), (21, 20), (10, 9), (6, 1), (22, 15), (4, 6), (3, 13), (20, 19), (21, 25), (26, 6), (17, 7), (27, 24), (14, 14), (19, 11), (15, 7), (23, 2), (7, 8), (3, 5), (0, 25), (19, 23), (21, 5), (7, 12), (17, 11), (15, 21), (0, 2), (11, 20), (26, 3), (27, 25), (4, 17), (13, 22), (21, 16), (19, 19), (22, 5), (6, 18), (10, 3), (16, 19), (12, 15), (4, 23), (19, 5), (19, 21), (3, 1), (22, 4), (16, 8), (25, 21), (2, 26), (1, 5), (23, 6), (25, 4), (27, 13), (16, 4), (8, 23), (12, 6), (7, 25), (13, 11), (16, 25), (12, 12), (1, 7), (26, 25), (11, 6), (0, 22), (6, 4), (25, 6), (2, 21), (15, 12), (26, 18), (24, 14), (11, 21), (21, 1), (19, 16), (12, 22), (26, 20), (13, 4), (11, 7), (25, 1), (23, 10), (0, 4), (25, 2), (5, 15), (25, 8), (8, 7), (4, 4), (21, 21), (5, 10), (6, 23), (6, 17), (8, 9), (18, 25), (18, 14), (24, 9), (2, 19), (14, 0), (17, 20), (5, 9), (26, 7), (2, 16), (21, 0), (6, 25), (18, 23), (26, 21), (15, 4), (8, 21), (21, 13), (8, 18), (9, 10), (23, 22), (0, 8), (20, 17), (0, 1), (10, 17), (8, 16), (24, 7), (19, 7), (7, 17), (7, 19), (12, 16), (8, 14), (4, 14), (19, 17), (24, 1), (25, 17), (5, 25), (0, 12), (6, 20), (23, 7), (9, 13), (11, 16), (11, 26), (21, 19), (4, 1), (11, 19), (7, 23), (2, 12), (13, 13), (18, 11), (1, 15), (8, 17), (6, 22), (18, 4), (1, 2), (0, 7), (3, 2), (0, 6), (9, 0), (23, 15), (17, 13), (11, 13), (17, 9), (25, 10), (25, 16), (1, 26), (15, 3), (9, 1), (11, 5), (7, 3), (1, 19), (4, 22), (12, 14), (24, 8), (13, 3), (24, 19), (22, 22), (17, 23), (23, 24)?

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