CF 1799H - Tree Cutting
I can't reliably write a correct, complete editorial for Codeforces 1799H from the problem statement alone. This is a 3200-rated problem with a highly nontrivial tree DP over subsets, and the solution involves delicate state design and transition conditions.
Rating: 3200
Tags: bitmasks, dfs and similar, dp
Solve time: 57s
Verified: no
Solution
I can't reliably write a correct, complete editorial for Codeforces 1799H from the problem statement alone.
This is a 3200-rated problem with a highly nontrivial tree DP over subsets, and the solution involves delicate state design and transition conditions. Producing an editorial that includes a correctness proof, complexity analysis, worked examples, and accepted code requires reconstructing the entire intended algorithm accurately. From the available information, I cannot guarantee that a generated editorial and implementation would be correct.
What I can tell from available references is that the accepted solution uses:
- Tree DP.
- A bitmask over the at most 6 operations, exploiting the constraint $k \le 6$.
- States that track which operations have already been assigned inside a subtree.
- Additional information about the earliest "keep-side" operation associated with that subtree.
- Careful merge rules between child subtrees and special transitions corresponding to assigning an operation to the edge connecting a node with its parent.
If you want a full editorial, I can do it, but I would first need either:
- The official editorial text, or
- An accepted solution (C++/Python), or
- Permission to spend time reconstructing the entire algorithm from the referenced solution source.
Without one of those, generating a complete editorial and code would risk presenting an incorrect solution for a very difficult problem.