How to Solve Maximum Value at a Given Index in a Bounded Array Problem
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Maximum Value at a Given Index in a Bounded Array
You are given three positive integers: n, index, and maxSum. You want to construct an array nums (0-indexed) that satisfies the following conditions: nums.length == n nums[i] is a positive integer whe...
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Understanding the Maximum Value at a Given Index in a Bounded Array Problem
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Problem Statement
You are given three positive integers: n, index, and maxSum. You want to construct an array nums (0-indexed) that satisfies the following conditions: nums.length == n nums[i] is a positive integer where 0 <= i < n. abs(nums[i] - nums[i+1]) <= 1 where 0 <= i < n-1. The sum of all the elements of nums does not exceed maxSum. nums[index] is maximized. Return nums[index] of the constructed array. Note that abs(x) equals x if x >= 0, and -x otherwise.
Maximum Value at a Given Index in a Bounded Array
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Examples
n = 4, index = 2, maxSum = 62nums = [1,2,2,1] is one array that satisfies all the conditions. There are no arrays that satisfy all the conditions and have nums[2] == 3, so 2 is the maximum nums[2].
n = 6, index = 1, maxSum = 103Constraints
1 <= n <= maxSum <= 1090 <= index < nHow Interview Coder Helps with Leetcode Problems
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