How to Solve Minimum Absolute Difference in Sliding Submatrix Problem
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Minimum Absolute Difference in Sliding Submatrix
You are given an m x n integer matrix grid and an integer k. For every contiguous k x k submatrix of grid, compute the minimum absolute difference between any two distinct values within that submatrix...
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Understanding the Minimum Absolute Difference in Sliding Submatrix Problem
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Problem Statement
You are given an m x n integer matrix grid and an integer k. For every contiguous k x k submatrix of grid, compute the minimum absolute difference between any two distinct values within that submatrix. Return a 2D array ans of size (m - k + 1) x (n - k + 1), where ans[i][j] is the minimum absolute difference in the submatrix whose top-left corner is (i, j) in grid. Note: If all elements in the submatrix have the same value, the answer will be 0. A submatrix (x1, y1, x2, y2) is a matrix that is formed by choosing all cells matrix[x][y] where x1 <= x <= x2 and y1 <= y <= y2.
Minimum Absolute Difference in Sliding Submatrix
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Examples
grid = [[1,8],[3,-2]], k = 2[[2]]There is only one possible k x k submatrix: [[1, 8], [3, -2]]. Distinct values in the submatrix are [1, 8, 3, -2]. The minimum absolute difference in the submatrix is |1 - 3| = 2. Thus, the answer is [[2]].
grid = [[3,-1]], k = 1[[0,0]]Both k x k submatrix has only one distinct element. Thus, the answer is [[0, 0]].
grid = [[1,-2,3],[2,3,5]], k = 2[[1,2]]There are two possible k × k submatrix: Starting at (0, 0): [[1, -2], [2, 3]]. Distinct values in the submatrix are [1, -2, 2, 3]. The minimum absolute difference in the submatrix is |1 - 2| = 1. Starting at (0, 1): [[-2, 3], [3, 5]]. Distinct values in the submatrix are [-2, 3, 5]. The minimum absolute difference in the submatrix is |3 - 5| = 2. Thus, the answer is [[1, 2]].
Constraints
1 <= m == grid.length <= 301 <= n == grid[i].length <= 30105 <= grid[i][j] <= 1051 <= k <= min(m, n)How Interview Coder Helps with Leetcode Problems
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