Given m, n, p, and q, create an m-by-n matrix made up of submatrices, each sized p-by-q (if possible - the last row and column of blocks may be smaller). The elements of the (j,k)th block all have the same value: (j+k-1).
For example, if m = 4, n = 7, p = 2, and q = 3, the matrix is:
A 4-by-7 matrix with each 2-by-3 block shaded a different color. The overall dimensions (m = 4, n = 7) of the matrix are noted. The 2-by-3 (p-by-q) size of each block is also noted.
You can assume m, n, p, and q are all positive integers. (They can have the value 1, however.) As in the illustration above, m may or may not be divisible by p, and n may or may not be divisible by q. It is even possible for m < p or n < q. The resulting matrix will always be m-by-n.
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Mehdi Dehghan Vasilis Bellos Anne Adamczyk Umar

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