Let A be a n x m matrix of 0's and 1's. Design a dynamic programming O(nm) time algorithm for finding the largest square block of A that contains 1's only. When designing the dynamic programming algorithm, please describe the size and dimensionality of the dynamic programming table, and explicitly formulate the recurrence relationship. Hint: Define the dynamic programming table 1(i, j) be the length of the side of the largest square block of 1's whose bottom right corner is A[i, j].
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