CF 102623J - JXC!!

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Solution

I can write the editorial, but the problem statement you provided is for an interactive problem, while the requested format asks for a normal stdin/stdout solution, sample-based tests, and an offline Python implementation.

Those two formats are incompatible here:

In the original problem, the program does not receive the grid. It receives only n and m, then must print queries such as ? x1 y1 x2 y2 and read the judge’s replies.
The “Input” section contains no hidden grid values, so an offline Python solution cannot reconstruct an answer from stdin.
The sample is an interaction transcript, not a normal sample input/output pair.
The requested assert-based tests cannot be written correctly without a mock interactive judge.

To produce the full editorial in the requested structure, I need one of these clarifications:

The original interactive solution is wanted, including the query strategy and an interactive Python implementation.
The problem has been converted into an offline version, in which the input contains the actual n × m binary grid and the task is to output something else. In that case, please provide the converted statement.

If you want option 1, I can write the complete interactive editorial with the algorithm, proof, complexity analysis, and Python interaction code.