In the puzzle, 1. ... Qh6+ is a faster mate.
a) 2. Kg8 Rg1+ 3. Kf7 Qe6+ 4. Kf8 Rg8#
b) 2. Ke7(e8) Qe6+
i) 3. Kf8 Rg1 and 4. ... Rg8# next
ii) 3. Kd8 Rd1 and take on d2 next.
c) 2. Kf7 Qe6+
ii) 3. Kg7 Rg1+ 4. Kh7 Qg6+ 5. Kh8 Qg7#
18. Bxd6 and white doesn't drop a piece.
20. Re1 would force the Q's off the board, win a pawn, and hold the open file. Or get black mated.
White checkmate in 5 or less. Begin with 51.Rc7 ...(any black move). Anylysis by chessengine.
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