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Solution: Maximum Value at a Given Index in a Bounded Array

Explore a binary search approach to maximize an element's value at a given index in a bounded array. Understand how to calculate sums of arithmetic sequences, handle constraints, and apply these techniques to efficiently find the maximum value without exceeding the total sum limit.

Statement

Given three positive integers, n, index, and maxSum, output the nums[index] by constructing an array of nums with the length of n, which satisfies the following conditions:

  • The length of the array nums is equal to n.

  • Each element nums[i] is a positive integer, where 11\leq ...