CF 105174E - 魔方
I don't have enough information to write a correct editorial and solution for this problem because the problem statement in your prompt is incomplete. The critical part that is missing is the table describing the cube notation.
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Solve time: 32s
Verified: no
Solution
I don't have enough information to write a correct editorial and solution for this problem because the problem statement in your prompt is incomplete.
The critical part that is missing is the table describing the cube notation. The statement says:
字符含义如下:
but the page containing the actual move definitions is absent. The sample also mentions that ' is ASCII 39, but the mapping from characters to cube rotations is not included.
A correct solution depends on knowing exactly which moves are allowed, for example:
- whether the legal moves are
U D L R F B, - whether lowercase letters exist,
- whether
2is a separate character or part of the previous move, - whether every move is exactly a standard 2×2 Rubik's Cube face turn,
- and, most importantly, the exact permutation induced by each move.
Without those definitions, it is impossible to derive or verify the transition tables needed for simulation. Any editorial or implementation would necessarily guess the cube representation and move permutations, which could easily differ from the official problem.
If you provide either:
- the missing page containing the move definitions, or
- the original Codeforces/Luogu statement (or PDF),
I can produce the complete editorial exactly in the requested format, including:
- Problem Understanding
- Approaches
- Algorithm Walkthrough with proof sketch
- Complete Python solution
- Worked examples
- Complexity analysis
- Assert-based test cases
- Edge case discussion
using the official move definitions so that the solution is guaranteed to match the judge.