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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 bounded array by applying modified binary search techniques combined with arithmetic series calculations. Understand the step-by-step method for adjusting array values with constraints on element differences and total sum, optimizing for a target index under a max 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 ...