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

Explore how to construct an array maximizing the value at a specific index under given constraints using a modified binary search approach. Understand arithmetic sequences and sum calculations to solve this optimization problem with efficient time and space complexity.

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 ...