This problem is inspired by https://www.mathworks.com/matlabcentral/cody/problems/1483-number-of-paths-on-a-grid and https://www.mathworks.com/matlabcentral/cody/problems/44066-number-of-paths-on-a-3d-grid, which you might want to solve first.

Consider n-dimensional grid, and you are moving from one corner to the farthest corner in a minimal number of moves. Each move corresponds to moving to a neighbouring hypercube (among possible up to 2*n neighbours). How many ways are there?

Input format is a row array of size "d" (for d dimension) with number of grid points on each direction.

Optional: can you solve it without loops?

Solve

Solution Stats

56 Solutions

50 Solvers

Last Solution submitted on Dec 16, 2025

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers50

George Berken David Hill Mehdi Dehghan Tajj

Suggested Problems

More from this Author9

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!