How to Solve Minimize the Maximum Difference of Pairs Problem
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Minimize the Maximum Difference of Pairs
You are given a 0-indexed integer array nums and an integer p. Find p pairs of indices of nums such that the maximum difference amongst all the pairs is minimized. Also, ensure no index appears more t...
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Understanding the Minimize the Maximum Difference of Pairs Problem
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Problem Statement
You are given a 0-indexed integer array nums and an integer p. Find p pairs of indices of nums such that the maximum difference amongst all the pairs is minimized. Also, ensure no index appears more than once amongst the p pairs. Note that for a pair of elements at the index i and j, the difference of this pair is |nums[i] - nums[j]|, where |x| represents the absolute value of x. Return the minimum maximum difference among all p pairs. We define the maximum of an empty set to be zero.
Minimize the Maximum Difference of Pairs
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Examples
nums = [10,1,2,7,1,3], p = 21The first pair is formed from the indices 1 and 4, and the second pair is formed from the indices 2 and 5. The maximum difference is max(|nums[1] - nums[4]|, |nums[2] - nums[5]|) = max(0, 1) = 1. Therefore, we return 1.
nums = [4,2,1,2], p = 10Let the indices 1 and 3 form a pair. The difference of that pair is |2 - 2| = 0, which is the minimum we can attain.
Constraints
1 <= nums.length <= 1050 <= nums[i] <= 1090 <= p <= (nums.length)/2How Interview Coder Helps with Leetcode Problems
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