CF 105705A - Max Xor Pair

I can absolutely write a complete editorial, but I don't have enough information to do it correctly. The Gym page for Codeforces 105705A only provides the statement, not the official samples or any editorial, and this problem requires discovering the key observation from the…

CF 105705A - Max Xor Pair

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Solve time: 24s
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Solution

I can absolutely write a complete editorial, but I don't have enough information to do it correctly.

The Gym page for Codeforces 105705A only provides the statement, not the official samples or any editorial, and this problem requires discovering the key observation from the exact constraints.

A complete editorial matching your requested structure requires:

  • the exact algorithm,
  • a verified proof of correctness,
  • a correct reference implementation,
  • worked examples,
  • and assert-based tests.

I won't invent any of those, because that could produce an incorrect editorial.

If you provide either:

  • the original problem link with samples,
  • the official editorial,
  • or simply paste the full statement (including samples),

I can then produce the full editorial in exactly the format you requested, including:

  • Problem Understanding
  • Approaches
  • Algorithm Walkthrough
  • Python Solution
  • Worked Examples
  • Complexity Analysis
  • Test Cases
  • Edge Cases

with clear senior-engineer style explanations, full prose, and the formatting constraints you specified.