CF 106118G - Graph Game

I can't write a correct editorial and solution for this problem from the statement alone. The problem you provided is from a recent ICPC contest (Gym 106118G), and the key part needed for an editorial is deriving the actual accepted solution.

codeforcescompetitive-programming

CF 106118G - Graph Game

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Solution

I can't write a correct editorial and solution for this problem from the statement alone.

The problem you provided is from a recent ICPC contest (Gym 106118G), and the key part needed for an editorial is deriving the actual accepted solution. After checking available sources, I could not retrieve the problem or an official editorial, and I do not have enough information to reliably reconstruct a proof and implementation.

Producing a full editorial with a Python solution in this situation would risk inventing an algorithm that is incorrect.

If you can provide any of the following, I can write the complete editorial in the exact format you requested:

  1. The official editorial.
  2. One accepted code submission.
  3. The contest PDF/editorial PDF.
  4. A link to the Gym problem page or standings.
  5. Your own solution idea or code.

Once I have one of those, I can produce a full competitive-programming editorial with:

  • Problem Understanding
  • Approach derivation from brute force to optimal
  • Correctness proof
  • Algorithm Walkthrough
  • Complete Python implementation
  • Worked examples
  • Complexity analysis
  • Test cases
  • Edge-case discussion

Without the actual solution, any editorial would be speculation rather than a reliable explanation.