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

Explore how to apply a modified binary search algorithm to maximize the value at a given index in a bounded array. This lesson helps you understand arithmetic sequences, sum calculations, and efficient problem-solving techniques while respecting constraints on array values and sums. You will learn to compute series sums on both sides of the index and iteratively refine solutions to meet the maximum sum limit, strengthening your skills in binary search and array manipulation.

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 ...