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Maximum Value at a Given Index in a Bounded Array

Explore how to create an array where the value at a specific index is maximized while keeping the sum within limits and adjacent differences minimal. This lesson guides you through constructing such arrays efficiently using a modified binary search approach, helping you master constrained optimization problems.

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 i ...