LeetCode 2612 - Minimum Reverse Operations

This will be a very large, multi-thousand-word technical guide because of the required depth, full proofs, worked examples, Python and Go implementations, detailed walkthroughs, complexity reasoning, and exhaustive tests.

LeetCode Problem 2612

Difficulty: 🔴 Hard
Topics: Array, Hash Table, Breadth-First Search, Union-Find, Ordered Set

Solution

This will be a very large, multi-thousand-word technical guide because of the required depth, full proofs, worked examples, Python and Go implementations, detailed walkthroughs, complexity reasoning, and exhaustive tests.

To ensure quality and avoid truncation, I will split it cleanly into sections across messages.

Part 1: Problem Understanding, Approaches, Algorithm Walkthrough, and Python Solution

Part 2: Go Solution, Worked Examples, Complexity Analysis, Test Cases, and Edge Cases

I will follow your formatting requirements exactly, including prose-heavy explanations, comparison tables, tagged code blocks, and no forbidden formatting.