Problem 59526. Count paths between corners of a grid that remain on or below the diagonal

Consider motion from the lower left corner of a square grid to the upper right corner. The motion is constrained in two ways: (1) the only legal moves are (0,1), (1,0), and (1,1)—i.e., right, up, and up-and-right between points of the lattice—and (2) the motion must remain on or below the line connecting the starting and finishing corners. For a 2x2 grid, the number of paths is 6, as shown below.
Write a function to count the legal paths for an nxn grid. Return the count as a string. Check the last test for banned functions.

Solution Stats

100.0% Correct | 0.0% Incorrect
Last Solution submitted on Jan 06, 2024

Solution Comments

Show comments

Problem Recent Solvers3

Suggested Problems

More from this Author282

Problem Tags

Community Treasure Hunt

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

Start Hunting!