How to Solve Maximum Sum With at Most K Elements Problem
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Maximum Sum With at Most K Elements
You are given a 2D integer matrix grid of size n x m, an integer array limits of length n, and an integer k. The task is to find the maximum sum of at most k elements from the matrix grid such that: T...
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Understanding the Maximum Sum With at Most K Elements Problem
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Problem Statement
You are given a 2D integer matrix grid of size n x m, an integer array limits of length n, and an integer k. The task is to find the maximum sum of at most k elements from the matrix grid such that: The number of elements taken from the ith row of grid does not exceed limits[i]. Return the maximum sum.
Maximum Sum With at Most K Elements
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Examples
grid = [[1,2],[3,4]], limits = [1,2], k = 2
7
From the second row, we can take at most 2 elements. The elements taken are 4 and 3. The maximum possible sum of at most 2 selected elements is 4 + 3 = 7.
grid = [[5,3,7],[8,2,6]], limits = [2,2], k = 3
21
From the first row, we can take at most 2 elements. The element taken is 7. From the second row, we can take at most 2 elements. The elements taken are 8 and 6. The maximum possible sum of at most 3 selected elements is 7 + 8 + 6 = 21.
Constraints
n == grid.length == limits.length
m == grid[i].length
1 <= n, m <= 500
0 <= grid[i][j] <= 105
0 <= limits[i] <= m
0 <= k <= min(n * m, sum(limits))
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