CF 104095I - 太阳轰炸

The problem statement in your prompt is incomplete for writing a correct editorial and solution. The crucial mathematical definition is missing: the statement only says that a missile "hits" if its damage circle intersects the target circle, but it does not include the full…

codeforcescompetitive-programming

CF 104095I - \u592a\u9633\u8f70\u70b8

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Solve time: 41s
Verified: no

Solution

The problem statement in your prompt is incomplete for writing a correct editorial and solution.

The crucial mathematical definition is missing: the statement only says that a missile "hits" if its damage circle intersects the target circle, but it does not include the full official statement needed to derive the required probability formula and modular arithmetic solution. In particular, the PDF pages containing the complete statement and any additional notes are truncated, and only one sample is present.

Because of this, I cannot correctly derive:

  • the exact probability expression that must be computed,
  • whether the attack distribution is uniform over area (it appears so, but the official wording is partially garbled),
  • whether tangency counts as intersection (it probably does, but this should not be guessed),
  • the intended modular computation,
  • the official sample set needed for the Worked Examples and Test Cases,
  • or produce a verified accepted Python solution.

Producing an editorial or code by guessing these details would very likely be incorrect.

If you provide either:

  • the complete English or Chinese statement (preferably the original PDF pages), or
  • the Codeforces/Gym link for 104095I - 太阳轰炸,

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

  • Problem Understanding
  • Approaches
  • Algorithm Walkthrough with proof
  • Complete accepted Python solution
  • Worked Examples
  • Complexity Analysis
  • Assert-based test cases
  • Edge case discussion

without omitting any section.