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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 in a bounded array by applying a modified binary search algorithm combined with arithmetic sequence formulas. Understand the approach to maintain constraints on element differences and total sum, and learn how to efficiently calculate the array's sum to find the optimal solution.

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 ...