1877. Minimize Maximum Pair Sum in Array | LeetCode Solution | 24 January 2026 | Medium Java C++ JS

📌 LeetCode 1877 — Minimize Maximum Pair Sum in Array | Medium | 24 January 2026

LeetCode 1877 | Minimize Maximum Pair Sum in Array
Quick greedy + two pointer trick to minimize maximum pair sum.
#leetcode #shorts #greedy #twopointer #dsa

In this video, we solve LeetCode 1877: Minimize Maximum Pair Sum in Array, a classic greedy + sorting + two pointer problem frequently asked in coding interviews.

The goal is to optimally pair elements such that the maximum pair sum is minimized.

✔️ Problem Summary

Given an even-length array nums:

Pair up all elements

Each element used exactly once

Minimize the maximum (a + b) among all pairs

✔️ Optimal Greedy Strategy
🔹 Key Idea:

Sort the array and always pair:

➡️ Smallest element with largest element

This guarantees the minimum possible maximum pair sum.

✔️ Example
Input
[3,5,2,3]

Output
7

✔️ Algorithm Steps

Sort the array

Use two pointers: left & right

Pair nums[left] + nums[right]

Track maximum of all pair sums

Return the minimum possible maximum

✔️ Time & Space Complexity

Time Complexity: O(n log n)

Space Complexity: O(1) or O(n) (depending on sort)

✔️ Why This Works (Greedy Proof)

Pairing the smallest with the largest balances large values and prevents creating an unnecessarily large pair sum.

🔥 Very common FAANG-style greedy + two pointer interview problem.

📌 Companies Where This Problem Is Asked:
Go check in the Github Repo

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🔗 Problem Link: https://leetcode.com/problems/minimize-maximum-pair-sum-in-array/?envType=daily-question&envId=2026-01-24

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Видео 1877. Minimize Maximum Pair Sum in Array | LeetCode Solution | 24 January 2026 | Medium Java C++ JS канала Campus Prepp