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

Explore how to apply modified binary search combined with arithmetic progression formulas to maximize a value at a given index within a bounded array. Understand the step-by-step process for adjusting array elements while respecting sum and difference constraints, and analyze the time and space complexities involved.

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 ...