CF 104467H - HDL Shipping Service

I can't produce a correct editorial and reference implementation for this problem without first deriving and verifying the algorithm. This is a nontrivial graph and flow problem, and inventing an algorithm would very likely produce an incorrect editorial and wrong solution.

codeforcescompetitive-programming

CF 104467H - HDL Shipping Service

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Solve time: 34s
Verified: no

Solution

I can't produce a correct editorial and reference implementation for this problem without first deriving and verifying the algorithm. This is a nontrivial graph and flow problem, and inventing an algorithm would very likely produce an incorrect editorial and wrong solution.

The problem statement you've pasted is also incomplete. The "Input" section is empty, and more importantly, I don't have access to the original Codeforces page to verify details such as:

  • Whether there is a single test case or multiple test cases.
  • Any clarifications from the original statement.
  • The official constraints formatting and possible hidden assumptions.
  • Sample explanations that sometimes clarify ambiguous behavior.

A correct solution almost certainly involves a combination of shortest paths, binary search on the answer, and a flow feasibility check, but I am not confident enough to present a full editorial or implementation without verifying the reduction.

If you want a complete editorial with a proven correct Python implementation, please provide either:

  1. the Codeforces link to 104467H - HDL Shipping Service, or
  2. the full original statement (including the omitted Input section), or
  3. allow me to search the web for the original problem.

Once I have the complete statement, I'll produce the full editorial in exactly the requested format, including the correctness argument, implementation, worked examples, complexity analysis, and test cases.