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Constrained Subsequence Sum (hard)
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Problem Statement

Given an array arr containing integers and an integer k, return the maximum sum of a non-empty subsequence of arr array such that for every two adjacent integers in the subsequence, arr[i] and arr[j], where i < j, the condition j - i <= k is satisfied.

A subsequence of the array is obtained by removing some elements (may be zero) from the array, leaving the remaining elements in their original order.

Examples

Example 1:

  • Input: arr = [10, -2, -10, 5], k = 2
  • Expected Output: 13

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