[User]
In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 0), (5, 8), (2, 8), (1, 2), (9, 6), (6, 8), (8, 0), (8, 1), (9, 7), (6, 4), (7, 7), (9, 1), (1, 8)?

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

dataset: MATH


[User]
In a 8x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 1), (3, 5), (0, 3), (3, 4), (2, 1), (7, 0)?

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


[User]
In a 8x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 6), 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), (7, 3), (6, 2), (0, 3), (1, 1)?

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


[User]
In a 7x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 9), 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), (4, 0), (2, 3), (1, 6), (0, 3), (6, 0), (2, 2), (1, 4), (5, 1), (0, 8)?

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


[User]
In a 8x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 9), 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), (3, 8), (6, 8), (5, 1), (1, 8), (0, 9), (6, 6), (3, 1), (5, 6)?

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


[User]
In a 7x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 4), (2, 3), (1, 3), (4, 5), (6, 5), (5, 4), (1, 1), (4, 6)?

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


[User]
In a 7x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 6), (1, 1), (5, 0), (4, 2), (3, 6)?

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


[User]
In a 10x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 6), (6, 3), (2, 6), (2, 1), (0, 5), (1, 4), (0, 3), (2, 0), (8, 7), (8, 4), (0, 1), (5, 1), (4, 3), (5, 6)?

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


[User]
In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 2), (9, 5), (5, 2), (7, 2), (6, 0), (5, 4), (4, 4), (6, 4)?

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


[User]
In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 6), (1, 5), (0, 5)?

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


[User]
In a 10x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 6), (5, 4), (4, 3), (2, 0), (8, 5), (8, 0), (6, 6), (4, 4), (5, 3), (4, 5), (1, 0), (9, 2), (5, 2)?

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


[User]
In a 10x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 6), 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, 6), (0, 5), (7, 4), (6, 1), (6, 6), (1, 1), (0, 4), (6, 3), (8, 5)?

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


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

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


[User]
In a 8x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 0), (4, 0)?

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


[User]
In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 3), (4, 4), (4, 7), (9, 0), (7, 3), (8, 5), (3, 1), (1, 7), (0, 7), (7, 1), (4, 6), (0, 6), (9, 1), (5, 6)?

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


[User]
In a 8x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 7), (3, 0), (5, 6)?

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


[User]
In a 8x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 1), (7, 1), (4, 2)?

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


[User]
In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 2), (6, 1), (1, 8), (5, 6), (3, 2), (9, 2)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 1), (3, 4), (2, 5), (3, 7), (2, 3), (3, 3)?

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


[User]
In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), 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), (6, 5), (2, 1), (7, 2), (4, 1), (4, 5), (3, 2), (2, 8), (4, 4), (3, 4), (0, 5), (1, 0)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 7), (5, 6), (3, 4), (1, 4), (5, 5)?

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


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

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


[User]
In a 10x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 6), (7, 0), (9, 2), (5, 2), (8, 3), (2, 5), (8, 6)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), 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), (0, 6), (4, 5), (1, 5), (4, 2), (5, 5), (6, 2), (2, 1), (3, 5), (3, 0)?

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


[User]
In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 5), (6, 0), (8, 3), (3, 7), (5, 6), (2, 5), (7, 6), (8, 7), (3, 3), (7, 1), (1, 3), (1, 0)?

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


[User]
In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 8), (8, 7), (6, 3), (0, 7), (5, 8), (7, 3), (1, 4), (8, 6), (1, 1), (6, 6), (8, 0), (7, 2), (4, 2)?

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


[User]
In a 10x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 2), (5, 3), (4, 0), (8, 2), (8, 3), (4, 3), (3, 5)?

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


[User]
In a 7x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 6), 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), (5, 6), (3, 4), (0, 5), (2, 6)?

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


[User]
In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 4), (0, 8), (7, 2), (4, 4), (4, 7), (6, 6), (1, 5), (6, 2), (0, 7), (5, 3)?

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


[User]
In a 9x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 0), (0, 7), (6, 7), (2, 6), (0, 5), (2, 7), (7, 3), (8, 4), (3, 7), (6, 2), (1, 4), (0, 2), (3, 4)?

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


[User]
In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 2), (8, 5), (1, 4), (7, 8), (7, 0), (6, 1), (2, 5), (5, 5), (2, 8), (3, 0), (3, 7), (6, 0), (0, 7)?

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


[User]
In a 9x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 4), (5, 1), (3, 3), (1, 3), (4, 2), (2, 0), (7, 5), (7, 7), (3, 2), (6, 5), (0, 3)?

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


[User]
In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), 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), (6, 2), (0, 4), (6, 1), (5, 2), (2, 4)?

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


[User]
In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 6), (5, 6), (6, 2), (3, 1), (5, 2), (2, 3), (1, 7), (1, 8), (1, 4), (1, 1)?

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


[User]
In a 9x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 4), (8, 3), (8, 2)?

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


[User]
In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 8), (3, 8), (6, 2), (8, 0), (7, 3), (1, 1)?

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


[User]
In a 7x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 5), (2, 1), (5, 6), (0, 1)?

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


[User]
In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 8), (5, 8), (6, 0), (3, 6), (3, 3), (6, 4), (5, 4), (3, 4), (8, 8)?

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


[User]
In a 8x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 2), (3, 0), (7, 3), (4, 0), (2, 5), (2, 0), (3, 4), (1, 4), (3, 3), (7, 4), (0, 4)?

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


[User]
In a 10x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 6), 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), (3, 4), (0, 3), (0, 1), (7, 6), (9, 2)?

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


[User]
In a 7x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 7), (3, 4), (3, 2), (5, 1)?

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


[User]
In a 9x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 9), 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), (4, 9), (2, 7), (3, 3), (2, 4), (0, 9), (3, 7), (5, 4), (3, 1), (7, 7), (8, 0)?

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


[User]
In a 7x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 1), (3, 8), (4, 2)?

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


[User]
In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 2), (2, 3), (6, 2), (1, 2)?

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


[User]
In a 9x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 6), 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, 4), (6, 2), (3, 6)?

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


[User]
In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), 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), (0, 2), (3, 5), (4, 3), (6, 1), (7, 3), (0, 3)?

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


[User]
In a 8x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 7), 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), (6, 2), (3, 1), (7, 6), (3, 2)?

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


[User]
In a 7x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 8), 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), (4, 5), (6, 6), (3, 6), (3, 1), (5, 2), (1, 2)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 0), (4, 3), (5, 5), (0, 2), (4, 0), (3, 6)?

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


[User]
In a 8x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 6), (4, 6), (5, 3), (1, 5), (4, 0), (6, 2), (4, 2)?

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


[User]
In a 9x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 7), 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), (6, 2)?

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


[User]
In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 6), (0, 2), (6, 1), (0, 8), (3, 8), (1, 0), (8, 1), (1, 6)?

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


[User]
In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 4), (7, 8), (5, 3), (5, 1), (0, 7), (3, 0), (7, 1), (8, 0), (4, 5)?

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


[User]
In a 10x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (9, 2), (8, 3), (2, 4), (9, 3), (5, 2)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 0), (5, 4), (6, 2), (2, 5), (2, 7)?

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


[User]
In a 7x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 0), (0, 1), (4, 3), (2, 3), (4, 0), (5, 3), (2, 0), (5, 5), (5, 1)?

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


[User]
In a 10x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 1), (2, 5)?

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


[User]
In a 9x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 2), (1, 0)?

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


[User]
In a 10x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 4), (5, 3), (1, 7), (9, 7), (2, 0), (7, 8), (3, 6), (1, 0), (0, 9), (2, 7), (2, 9), (0, 2), (2, 1), (3, 9), (4, 6)?

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


[User]
In a 7x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 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, 3), (6, 4), (2, 6), (3, 1), (0, 2), (4, 4)?

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


[User]
In a 8x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 0), (2, 2), (7, 1), (2, 5), (5, 2), (7, 5), (2, 4), (3, 0), (1, 0), (3, 5)?

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


[User]
In a 10x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 4), (6, 1), (7, 2), (0, 2), (9, 4), (1, 1), (9, 5), (6, 5), (3, 6), (4, 3), (5, 7), (5, 0), (6, 4), (5, 1)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 4), (1, 4), (0, 3), (0, 7), (4, 1), (1, 3), (5, 5)?

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


[User]
In a 9x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 7), 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), (1, 0), (4, 6)?

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


[User]
In a 8x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 6), 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), (5, 5), (3, 2), (3, 5), (3, 4), (5, 1), (7, 1), (4, 3), (4, 2), (1, 5), (5, 4), (0, 3)?

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


[User]
In a 9x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (0, 2), (4, 3), (5, 7), (6, 2), (5, 3)?

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


[User]
In a 8x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 1), (1, 0)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 1), (3, 2), (3, 4)?

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


[User]
In a 10x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 9), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 3), (9, 5), (1, 8), (9, 1), (7, 8), (6, 5), (6, 0), (3, 9), (4, 7), (2, 0), (5, 2), (3, 3), (1, 1), (0, 8)?

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


[User]
In a 8x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 6), 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, 3), (3, 5), (6, 6), (3, 0), (5, 6), (2, 3), (7, 2), (7, 1), (7, 0)?

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


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

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 3), (4, 3), (5, 7)?

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


[User]
In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 1), (8, 0), (4, 6), (7, 8), (8, 4), (6, 2), (2, 0)?

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


[User]
In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (4, 2), (7, 8), (7, 6), (5, 8), (5, 4), (2, 0), (6, 5), (5, 2), (4, 1), (4, 6), (0, 3), (5, 1)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 1), (2, 4), (1, 7), (1, 5), (2, 5), (6, 6)?

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


[User]
In a 9x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (2, 5), (1, 0), (8, 6), (3, 1), (3, 7), (4, 3), (3, 4), (7, 3)?

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


[User]
In a 7x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 2), (5, 5)?

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


[User]
In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 2), (3, 2), (5, 6), (0, 2), (2, 3), (6, 8), (3, 6), (8, 0), (2, 0), (1, 6), (4, 3), (5, 8), (8, 5)?

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


[User]
In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (8, 4), (7, 3), (7, 4), (7, 5)?

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


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

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


[User]
In a 7x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 9), 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), (3, 8), (2, 4), (0, 9)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 4), (2, 7), (6, 5), (2, 2), (1, 2), (0, 6)?

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


[User]
In a 10x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 0), (6, 0)?

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


[User]
In a 8x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 7), 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), (6, 2), (5, 1), (7, 4), (2, 4), (4, 0), (0, 1), (2, 5)?

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


[User]
In a 9x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (0, 1), (8, 5), (0, 2), (8, 2), (2, 2), (6, 0), (4, 3), (2, 6), (2, 4), (5, 1)?

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


[User]
In a 9x10 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 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, 2), (5, 0), (8, 3), (3, 5), (6, 7)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 0), (6, 3), (3, 4), (2, 5), (0, 1), (5, 3), (0, 5)?

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


[User]
In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 5), (5, 0), (4, 8), (6, 6), (2, 1), (0, 4), (3, 0)?

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


[User]
In a 7x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 1), (4, 4)?

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


[User]
In a 10x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 7), 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), (8, 1), (4, 4), (7, 3), (2, 7), (1, 4), (8, 5), (8, 4), (5, 4), (8, 2), (7, 7), (3, 2), (3, 4), (3, 0), (6, 1)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 2), (0, 5), (0, 1), (1, 0), (6, 6)?

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


[User]
In a 10x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (9, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (7, 0), (9, 3), (4, 4), (6, 2), (5, 1), (0, 4), (5, 6), (7, 4), (8, 8), (8, 5), (2, 7), (6, 5), (0, 8), (8, 4), (5, 0)?

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


[User]
In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (5, 0), (6, 3)?

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


[User]
In a 9x7 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 6), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 6), (1, 2), (1, 6)?

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


[User]
In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (2, 6), (6, 8), (5, 4), (6, 6), (2, 2), (3, 8), (7, 6), (7, 2)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), 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), (1, 2), (4, 5)?

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


[User]
In a 7x8 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 7), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (3, 2), (5, 5)?

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


[User]
In a 9x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (8, 8), 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), (6, 6), (5, 2)?

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


[User]
In a 8x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (7, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (6, 8), (7, 1), (2, 4)?

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


[User]
In a 7x9 grid, how many different paths are there from the bottom left (0, 0) to the top right (6, 8), if you can only move right or up at each step, subject to the constraint that you cannot move through the following cells: (1, 7), (6, 7), (0, 1), (3, 3), (6, 4)?

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