CF 102875G - Grid Coloring

The problem statement included in your prompt is incomplete. The key mathematical condition is truncated, with several formulas replaced by fragments such as: 如果 ，dp转移只需要最近两列的状态即可... and later: 考虑 的时候... 对于 ，打表可以发现...

codeforcescompetitive-programming

CF 102875G - Grid Coloring

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Solution

The problem statement included in your prompt is incomplete. The key mathematical condition is truncated, with several formulas replaced by fragments such as:

如果 ，dp转移只需要最近两列的状态即可...

and later:

考虑 的时候...

对于 ，打表可以发现...

The actual input format, output format, constraints, and even the precise coloring rule are missing. As a result, the editorial cannot be derived reliably, and any algorithm or proof would be speculation.

A complete Codeforces editorial requires the full problem statement because the missing parts determine:

  • what constitutes a valid coloring,
  • what the input variables are,
  • whether there are multiple test cases,
  • the required output,
  • the transition rules for the DP that the Chinese notes refer to,
  • the closed-form cases for different grid dimensions.

If you provide either:

  • the complete Codeforces 102875G statement, or
  • the original Chinese statement without the missing formulas,

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

  • Problem Understanding
  • Approaches
  • Algorithm Walkthrough
  • Correctness proof
  • Complete Python 3 solution
  • Worked examples
  • Complexity Analysis
  • Assert-based test cases
  • Edge case discussion

without inventing any missing details.