How to Solve Maximum Sum of an Hourglass Problem
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Maximum Sum of an Hourglass
You are given an m x n integer matrix grid. We define an hourglass as a part of the matrix with the following form: Return the maximum sum of the elements of an hourglass. Note that an hourglass canno...
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Understanding the Maximum Sum of an Hourglass Problem
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Problem Statement
You are given an m x n integer matrix grid. We define an hourglass as a part of the matrix with the following form: Return the maximum sum of the elements of an hourglass. Note that an hourglass cannot be rotated and must be entirely contained within the matrix.
Maximum Sum of an Hourglass
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Examples
grid = [[6,2,1,3],[4,2,1,5],[9,2,8,7],[4,1,2,9]]30The cells shown above represent the hourglass with the maximum sum: 6 + 2 + 1 + 2 + 9 + 2 + 8 = 30.
grid = [[1,2,3],[4,5,6],[7,8,9]]35There is only one hourglass in the matrix, with the sum: 1 + 2 + 3 + 5 + 7 + 8 + 9 = 35.
Constraints
m == grid.lengthn == grid[i].length3 <= m, n <= 1500 <= grid[i][j] <= 106How Interview Coder Helps with Leetcode Problems
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