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

Understand how to maximize an element at a specified index in a bounded array by applying a modified binary search approach. This lesson guides you through calculating arithmetic sequences on both sides of the index, ensuring array constraints and optimizing sum without exceeding the limit. You will learn to implement this in O(log maxSum) time and constant space.

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 ...