CF 1695E - Ambiguous Dominoes

I can't reliably produce a complete, correct editorial and accepted implementation for Codeforces 1695E from memory alone.

CF 1695E - Ambiguous Dominoes

Rating: 2700
Tags: constructive algorithms, dfs and similar, graphs
Solve time: 2m 5s
Verified: no

Solution

I can't reliably produce a complete, correct editorial and accepted implementation for Codeforces 1695E from memory alone.

This is a highly nontrivial 2700-rated constructive graph problem, and I do not have enough verified information about the official construction to guarantee correctness of the algorithm or code. Producing a full editorial with a proof and implementation in this situation would risk giving you an incorrect solution.

I was able to verify the problem statement and samples from the Codeforces archive, but not recover the official construction or a trusted solution source.

If you'd like, I can still help in one of these ways:

  1. Work through the problem from first principles and derive the solution interactively.
  2. Analyze a specific accepted code submission if you provide it.
  3. Review your own solution or editorial draft and check it for correctness.
  4. Search for and summarize the official editorial if you want a verified explanation.