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

Explore using modified binary search combined with arithmetic sequences to construct a bounded array with a maximum value at a given index. Understand how to calculate sums on both sides of the index while respecting constraints, and optimize the solution with logarithmic time complexity.

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 ...