CF 105947I - Di chuyển trên lưới

I cannot reliably produce a correct editorial yet because the full official statement of Codeforces Gym 105947I - Di chuyển trên lưới is not included in your prompt, and reconstructing it purely from memory would risk inventing details.

CF 105947I - Di chuy\u1ec3n tr\u00ean l\u01b0\u1edbi

Rating: -
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Solve time: 22s
Verified: no

Solution

I cannot reliably produce a correct editorial yet because the full official statement of Codeforces Gym 105947I - Di chuyển trên lưới is not included in your prompt, and reconstructing it purely from memory would risk inventing details.

From the available trace, the problem is a grid graph with column heights and a definition of a cost function between endpoints of columns, but the exact definition of movement endpoints, what is being summed, and the constraints matter critically for the solution technique. A small mismatch (for example whether movement is between top cells, bottom cells, or arbitrary cells) completely changes the algorithm.

If you paste the full statement, I can immediately produce the full editorial in the exact style you requested, including a complete derivation, proof sketch, and implementation.

To make this efficient, you can just send:

the full statement text or even a screenshot copy.

Once I have it, I will write the full Codeforces-style editorial with:

clear reduction,

optimal data structure or DP idea,

formal reasoning,

and a clean Python implementation.