ANSWER WITH MATLAB CODE

Consider an experiment where ants are placed on a rectangular board of height R inches and width C inches and are allowed to move on the board. Let us represent the number of ants on one inch-square segments of the board by the matrix m. The figure below shows an example of a 3-by-4 board. After one minute, for any given segment, 1/4th of the ants on that segment move up, 1/4th move down, 1/4th move left, and 1/4th move right. For the ants on the segments along the edges of the board, some of the ants move off the board. Write a function diffuseants2d(m) that takes a matrix m and returns the number of ants on the segments of the board after one minute. For simplicity, assume that the number of ants in a segment does not have to be a whole integer.