Path possibilities based on type of Grid

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Project Description


I'm looking for a Freelancer with expertise in programming to create an algorithm to produce output based on the problem statement provided. Each of the output must be represented visually. Basic example of a problem statement:

How many paths can 2 x 2 grid have starting from the first block to the last block? Four blocks in the grid (row 1 col 1, row 1 col 2, row 2 col 1, row 2 col 2).

Answer: Two paths:

1). row 1 col 1 then row 1 col 2 then row 2 col 2

2). row 1 col 1 then row 2 col 1 then row 2 col 2

(Rules: 1). the paths cannot be diagonal. 2). the path cannot be backwards (i.g cannot be from last block to the first block).

I need the solution for 14 different sizes of grid.

Please let me know if you have any questions.


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