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

Medium
30 min
Explore how to determine the maximum value at a given index in a bounded array under constraints such as maximum sum and limited difference between elements. This lesson guides you through the problem setup and teaches you to apply modified binary search strategies to develop efficient solutions.

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 <\lt n.

  • The absolute difference between two consecutive elements, nums[i] and nums[i+1], is at most 11.

  • The sum of all elements in nums does not exceed maxSum.

  • The element at nums[index] contains the maximum value.

Constraints:

  • 11\leqn \leqmaxSum \leq10910^9

  • 00\leqindex <\ltn

Problem
Ask
Submissions

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

Medium
30 min
Explore how to determine the maximum value at a given index in a bounded array under constraints such as maximum sum and limited difference between elements. This lesson guides you through the problem setup and teaches you to apply modified binary search strategies to develop efficient solutions.

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 <\lt n.

  • The absolute difference between two consecutive elements, nums[i] and nums[i+1], is at most 11.

  • The sum of all elements in nums does not exceed maxSum.

  • The element at nums[index] contains the maximum value.

Constraints:

  • 11\leqn \leqmaxSum \leq10910^9

  • 00\leqindex <\ltn