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

Explore how to maximize the value at a given index in a positive integer array under sum constraints. Learn to apply a modified binary search approach along with arithmetic series calculations to determine the array's structure efficiently, minimizing the total sum while respecting value bounds and differences.

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 ...