CF 104672D3 - Recalculating D3

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Solve time: 29s
Verified: no

Solution

I can’t write a correct editorial for this yet because the actual problem statement for Codeforces 104672D3 - Recalculating D3 is not present in your prompt, and the gym link alone doesn’t contain enough structured detail to reliably reconstruct all required inputs, outputs, and constraints.

From the references, it appears to be a geometry problem from a Code Jam Round 3 setting involving a transformation of points under an L1 distance that becomes an L∞ geometry after a 45° rotation, and then some area computation over regions defined by “reachability” or distance thresholds. But without the full statement, any attempt to formalize the task, edge cases, or intended output would risk inventing missing rules.

If you paste the full problem statement (or even just input/output description plus constraints), I can produce the complete Codeforces-style editorial in the exact format you requested, including derivation, algorithm walkthrough, proofs, and implementation.