How to Solve Equal Sum Grid Partition I I Problem
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Equal Sum Grid Partition II
You are given an m x n matrix grid of positive integers. Your task is to determine if it is possible to make either one horizontal or one vertical cut on the grid such that: Each of the two resulting ...
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Understanding the Equal Sum Grid Partition I I Problem
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Problem Statement
You are given an m x n matrix grid of positive integers. Your task is to determine if it is possible to make either one horizontal or one vertical cut on the grid such that: Each of the two resulting sections formed by the cut is non-empty. The sum of elements in both sections is equal, or can be made equal by discounting at most one single cell in total (from either section). If a cell is discounted, the rest of the section must remain connected. Return true if such a partition exists; otherwise, return false. Note: A section is connected if every cell in it can be reached from any other cell by moving up, down, left, or right through other cells in the section.
Equal Sum Grid Partition II
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Examples
grid = [[1,4],[2,3]]trueA horizontal cut after the first row gives sums 1 + 4 = 5 and 2 + 3 = 5, which are equal. Thus, the answer is true.
grid = [[1,2],[3,4]]trueA vertical cut after the first column gives sums 1 + 3 = 4 and 2 + 4 = 6. By discounting 2 from the right section (6 - 2 = 4), both sections have equal sums and remain connected. Thus, the answer is true.
grid = [[1,2,4],[2,3,5]]falseA horizontal cut after the first row gives 1 + 2 + 4 = 7 and 2 + 3 + 5 = 10. By discounting 3 from the bottom section (10 - 3 = 7), both sections have equal sums, but they do not remain connected as it splits the bottom section into two parts ([2] and [5]). Thus, the answer is false.
grid = [[4,1,8],[3,2,6]]falseNo valid cut exists, so the answer is false.
Constraints
1 <= m == grid.length <= 1051 <= n == grid[i].length <= 1052 <= m * n <= 1051 <= grid[i][j] <= 105How Interview Coder Helps with Leetcode Problems
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