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

Explore how to maximize the value at a specific index of a bounded array by applying a modified binary search. Understand how to calculate sums of arithmetic sequences on both sides of the index while respecting constraints on element variance and total sum. This lesson helps you implement an efficient approach to this problem with a time complexity of logarithmic scale and constant space usage.

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 ...