1877. Minimize Maximum Pair Sum in Array

Question The pair sum of a pair (a,b) is equal to a + b. The maximum pair sum is the largest pair sum in a list of pairs. For example, if we have pairs (1,5), (2,3), and (4,4), the maximum pair sum would be max(1+5, 2+3, 4+4) = max(6, 5, 8) = 8. Given an array nums of even length n, pair up the elements of nums into n / 2 pairs such that: Each element of nums is in exactly one pair, and The maximum pair sum is minimized. Return the minimized maximum pair sum after optimally pairing up the elements. Example 1: Input: nums = [3,5,2,3] Output: 7 Explanation: The elements can be paired up into pairs (3,3) and (5,2). The maximum pair sum is max(3+3, 5+2) = max(6, 7) = 7. Example 2: Input: nums = [3,5,4,2,4,6] Output: 8 Explanation: The elements can be paired up into pairs (3,5), (4,4), and (6,2). The maximum pair sum is max(3+5, 4+4, 6+2) = max(8, 8, 8) = 8. Solution class Solution { public: int minPairSum(vector& nums) { sort(nums.begin(), nums.end()); int i=0, j = nums.size()-1, maxi = INT_MIN; while(i < j) { maxi = max(nums[i]+nums[j], maxi); i++; j--; } return maxi; } };

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