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LeetCode 765, Hard. Topics: Greedy, Depth-First Search, Breadth-First Search, Union-Find, Graph Theory. View on LeetCode. Generate this problem as a practice environment: tested reference solution, 20 parametrized pytest cases, and a playground notebook:

Problem

There are n couples sitting in 2n seats arranged in a row and want to hold hands. The people and seats are represented by an integer array row where row[i] is the ID of the person sitting in the i<sup>th</sup> seat. The couples are numbered in order, the first couple being (0, 1), the second couple being (2, 3), and so on with the last couple being (2n - 2, 2n - 1). Return the minimum number of swaps so that every couple is sitting side by side. A swap consists of choosing any two people, then they stand up and switch seats.

Examples

Constraints

  • 2n == row.length
  • 2 <= n <= 30
  • 0 <= row[i] < 2n
  • All the elements of row are unique.

Solution

Reference implementation from solution.py on GitHub, full suite in test_solution.py:

Complexity

Tags

Last modified on September 7, 2026