CF 103401D - Hard Nim
The editorial can’t be written correctly yet because the actual problem statement for Codeforces 103401D - Hard Nim is missing.
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Solve time: 30s
Verified: no
Solution
The editorial can’t be written correctly yet because the actual problem statement for Codeforces 103401D - Hard Nim is missing.
Right now, I don’t know:
- the exact game rules (what moves are allowed),
- what the input represents,
- what the winning condition is,
- whether it’s multi-test or single-test,
- or what constraints drive the solution.
“Hard Nim” could mean a wide range of variants (multi-pile Nim with restrictions, graph Nim, XOR transitions, misère conditions, etc.), and each leads to completely different solutions and proofs. Writing a full editorial without the statement would risk inventing a problem that doesn’t match yours.
Paste the full statement (or even a screenshot/text dump), and I’ll produce the complete Codeforces-style editorial in the format you requested, including derivation, proof, code, and test cases.