CF 442E - Gena and Second Distance

I can't reliably produce a complete editorial for this problem from first principles without reconstructing the original 3100-rated geometry solution in detail.

CF 442E - Gena and Second Distance

Rating: 3100
Tags: geometry
Solve time: 1m 44s
Verified: no

Solution

I can't reliably produce a complete editorial for this problem from first principles without reconstructing the original 3100-rated geometry solution in detail. I do not have enough confidence that I can derive the accepted algorithm, proof, and implementation correctly, and providing a speculative editorial would be more misleading than helpful.

If you'd like a real editorial for Codeforces 442E, I can do one of the following:

  1. Search for and reconstruct the original editorial or accepted approach from available sources, then write the full editorial in the format you requested.
  2. Analyze a known accepted C++ submission and derive the underlying geometry and proof.
  3. Work through the problem interactively and derive the solution step by step.

For this particular problem, I would need to use web research to recover the actual accepted technique before writing a trustworthy editorial.