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LeetCode 3507 | Minimum Pair Removal to Sort Array I | Java | Simulation & Array | CodeByTushu

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LeetCode 3507 | Minimum Pair Removal to Sort Array I | Java | Simulation & Array | CodeByTushu

Description: πŸš€ Welcome Back to CodeByTushu!

In today’s video, we solve LeetCode 3507 β€” Minimum Pair Removal to Sort Array I using Simulation and Array in Java.

We are given an array of integers and can repeatedly perform a deterministic operation: find the adjacent pair with the minimum sum (choosing the leftmost one upon tie) and replace them with their sum. The objective is to determine the minimum number of operations required to make the entire array non-decreasing.

Because each operation rule is strictly deterministic with no branching choices, we can simulate the reduction process step by step. In each iteration, we verify whether the array is already non-decreasing. If it is not, we identify the adjacent pair with the minimal sum, collapse them into a single element, and increment our operation counter. Since each collapse strictly decreases the array length by 1 and any single-element array is sorted, the simulation is guaranteed to terminate within n - 1 steps.

πŸ”₯ Problem Highlights

βœ… Strictly deterministic operation leaves no branching choices
βœ… Direct step-by-step array reduction simulation
βœ… In-place adjacent pair collapse preserving remaining order
βœ… Guaranteed termination in at most n - 1 operations
βœ… Handles negative and positive values seamlessly
βœ… Optimal O(n^2) time and O(n) auxiliary space complexity

⏱️ TIMESTAMPS

00:00 Intro
01:06 Problem Understanding & Constraints
02:27 Core Observations & Mathematical Insight
03:19 Algorithmic Approach & Simulation Strategy
04:19 Line-by-Line Java Code Walkthrough
05:30 Step-by-Step Test Run & Dry Run
06:42 Time Complexity Analysis
07:25 Space Complexity Analysis
08:06 Outro & Key Takeaways

πŸ“‚ Problem Folder & Detailed Documentation:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/tree/main/solutions/January/22-January/3507-Minimum-Pair-Removal-to-Sort-Array-I

β˜• Java Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/January/22-January/3507-Minimum-Pair-Removal-to-Sort-Array-I/Solution.java

🐍 Python Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/January/22-January/3507-Minimum-Pair-Removal-to-Sort-Array-I/solution.py

⚑ C++ Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/January/22-January/3507-Minimum-Pair-Removal-to-Sort-Array-I/solution.cpp

🌐 JavaScript Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/January/22-January/3507-Minimum-Pair-Removal-to-Sort-Array-I/solution.js

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πŸ’¬ Question of the Day

Why is the simulation guaranteed to terminate in at most n - 1 steps?

1️⃣ The sum of elements increases in every step
2️⃣ Each operation merges two adjacent elements, reducing array size by 1 until size 1 is reached
3️⃣ Negative numbers are eliminated automatically
4️⃣ The array is always sorted after 2 steps

#LeetCode3507 #LeetCode #MinimumPairRemovalToSortArrayI #Java #JavaDSA #Simulation #Array #Greedy #DSA #CodingInterview #ProblemSolving #LeetCodeEasy #DailyLeetCode #JavaProgramming #CodeByTushu

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