How to Solve Maximum and Minimum Sums of at Most Size K Subarrays Problem
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Maximum and Minimum Sums of at Most Size K Subarrays
You are given an integer array nums and a positive integer k. Return the sum of the maximum and minimum elements of all subarrays with at most k elements.
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Understanding the Maximum and Minimum Sums of at Most Size K Subarrays Problem
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Problem Statement
You are given an integer array nums and a positive integer k. Return the sum of the maximum and minimum elements of all subarrays with at most k elements.
Maximum and Minimum Sums of at Most Size K Subarrays
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Examples
nums = [1,2,3], k = 2
20
The subarrays of nums with at most 2 elements are: Subarray Minimum Maximum Sum [1] 1 1 2 [2] 2 2 4 [3] 3 3 6 [1, 2] 1 2 3 [2, 3] 2 3 5 Final Total 20 The output would be 20.
nums = [1,-3,1], k = 2
-6
The subarrays of nums with at most 2 elements are: Subarray Minimum Maximum Sum [1] 1 1 2 [-3] -3 -3 -6 [1] 1 1 2 [1, -3] -3 1 -2 [-3, 1] -3 1 -2 Final Total -6 The output would be -6.
Constraints
1 <= nums.length <= 80000
1 <= k <= nums.length
106 <= nums[i] <= 106
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