Finding the Maximum Sum Submatrix Using Prefix Sums and Kadane's Algorithm

Given an N x N matrix of integers, compute the maximum sum of any non-empty submatrix. This problem can be efficiently solved by extending the one-dimensional maximum subarray problem (Kadane's algorithm) to two dimensions using prefix sums. First, precompute a prefix sum array prefixSum where prefixSum[i][j] stores the cumulative sum of elemen ...

Posted on Tue, 20 Oct 2026 16:25:09 +0000 by nova912