[User]
In a 18x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 7), (9, 7), (1, 8), (9, 0), (1, 3), (1, 2), (11, 5), (16, 2), (7, 2), (7, 8), (12, 4), (9, 8), (6, 4), (8, 1), (4, 9), (4, 3), (6, 2), (8, 9), (5, 8), (4, 6), (14, 5), (0, 2), (6, 3), (4, 1), (3, 8)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 14x17 grid, how many different paths are there from the bottom left (0, 0) to the top right (13, 16), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (11, 13), (13, 5), (0, 9), (0, 5), (12, 12), (2, 5), (6, 14), (6, 6), (4, 2), (2, 8), (4, 11), (2, 4), (7, 6), (3, 5), (11, 15), (10, 10), (12, 2), (11, 0), (12, 3), (8, 1), (6, 3), (10, 2), (7, 7), (9, 8), (4, 1), (1, 11), (8, 11)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 17x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (16, 13), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (10, 11), (4, 1), (3, 0), (10, 5), (6, 4), (16, 5), (2, 10), (12, 13), (1, 13), (8, 11), (13, 3), (8, 7), (16, 3), (2, 3), (4, 3), (0, 2), (12, 3), (4, 13), (14, 13), (1, 5), (4, 9), (9, 13), (13, 10), (0, 3), (5, 0), (3, 12), (15, 12)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 14x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (13, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (13, 9), (6, 8), (1, 13), (13, 12), (13, 10), (11, 14), (5, 13), (5, 4), (5, 16), (12, 7), (9, 17), (5, 11), (3, 6), (9, 10), (8, 12), (5, 3), (4, 14), (10, 2), (4, 4), (0, 7), (5, 15), (3, 5), (10, 12), (11, 1), (0, 16), (8, 15), (1, 16), (1, 2), (1, 9), (5, 14), (3, 18), (5, 7), (12, 12), (6, 4), (10, 11), (0, 1)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 16x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (15, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 4), (2, 1), (12, 18), (15, 17), (3, 10), (7, 12), (10, 1), (4, 18), (8, 15), (5, 16), (15, 16), (9, 0), (13, 6), (9, 4), (1, 2), (6, 15), (4, 5), (4, 14), (12, 3), (9, 15), (0, 8), (6, 3), (10, 4), (1, 5), (11, 3), (6, 8), (6, 0), (8, 10), (8, 2), (10, 0), (13, 10), (1, 11), (7, 2), (7, 13), (4, 7), (10, 15), (3, 0), (5, 6), (2, 0), (7, 10), (4, 13), (3, 17), (3, 13), (15, 2), (5, 8), (11, 14)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 12x19 grid, how many different paths are there from the bottom left (0, 0) to the top right (11, 18), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 3), (6, 8), (4, 9), (11, 9), (7, 16), (4, 11), (1, 9), (4, 16), (9, 13), (1, 10), (1, 17), (6, 5), (1, 4), (9, 14), (2, 2), (10, 16), (8, 7), (9, 12)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 11x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 5), (2, 8), (3, 4), (8, 9), (8, 0), (7, 6), (6, 7), (9, 3), (9, 4)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 17x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (16, 13), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 12), (15, 7), (14, 7), (12, 8), (12, 0), (15, 10), (11, 0), (6, 5), (14, 6), (1, 2), (14, 8), (10, 9), (13, 10), (4, 9), (5, 3), (3, 3), (7, 13), (0, 9), (5, 9), (16, 10), (8, 12), (13, 7), (16, 4), (10, 5), (11, 7), (1, 7), (16, 3), (11, 1), (1, 13), (7, 0), (4, 8), (12, 2), (11, 5), (14, 11), (1, 10), (7, 7), (9, 0), (6, 6)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 18x13 grid, how many different paths are there from the bottom left (0, 0) to the top right (17, 12), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 7), (7, 10), (10, 8), (7, 5), (0, 8), (7, 2), (1, 2), (9, 3), (17, 9), (2, 8), (1, 12), (14, 12), (15, 1), (4, 2), (5, 0), (15, 4), (0, 2), (4, 7), (6, 7), (12, 10), (8, 4)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 19x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (18, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 3), (2, 5), (4, 10), (17, 10), (18, 8), (8, 8), (8, 10), (15, 2), (6, 8), (18, 3), (16, 6), (12, 10), (7, 5), (3, 7), (10, 3), (13, 9), (15, 10), (13, 4), (4, 7), (1, 8), (15, 7), (17, 3), (9, 2), (16, 4), (10, 8), (18, 0)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 14x17 grid, how many different paths are there from the bottom left (0, 0) to the top right (13, 16), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 7), (12, 12), (10, 0), (11, 4), (10, 3), (13, 10), (9, 9), (1, 2), (11, 15), (9, 12), (4, 15), (8, 11), (8, 4), (13, 1), (5, 1), (3, 13), (11, 14), (5, 15), (11, 6), (6, 10), (7, 3), (10, 16), (10, 6), (1, 5), (8, 6)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 10x12 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 11), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 3), (3, 5), (1, 6), (2, 7), (4, 0), (4, 6), (1, 9), (3, 6), (5, 11), (3, 11), (6, 8), (2, 6), (8, 2)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 10x18 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 17), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 10), (6, 8), (4, 10), (0, 17), (8, 0), (1, 10), (2, 17), (3, 14)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 19x11 grid, how many different paths are there from the bottom left (0, 0) to the top right (18, 10), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 1), (0, 10), (11, 3), (15, 9), (15, 8), (13, 5), (7, 7), (7, 10), (14, 1), (5, 6), (15, 2), (18, 5), (9, 10), (8, 10), (5, 5), (3, 5), (9, 2), (18, 4), (13, 9), (3, 10), (14, 10), (6, 8), (1, 6), (6, 9), (13, 6), (3, 1), (17, 10), (10, 5)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 11x14 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 13), 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), (3, 0), (7, 2), (0, 7), (4, 4), (0, 4), (0, 1), (6, 1), (2, 11), (8, 0), (9, 6), (1, 6), (7, 13), (2, 9), (10, 6)?

Present the answer in LaTex format: \boxed{Your answer}


[User]
In a 11x15 grid, how many different paths are there from the bottom left (0, 0) to the top right (10, 14), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 11), (0, 11), (0, 1), (1, 3), (8, 6), (6, 5), (2, 10), (9, 9), (9, 13), (1, 4), (2, 4)?

Present the answer in LaTex format: \boxed{Your answer}