Take a look at the position below:
Black to move. What is the least amount of moves for black to checkmate white, assuming both sides play optimally?
Try not to use a chess engine when solving this problem!
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42...Rf4+!! 43.exf4 Rxg2+! 44.Rxg2 ( 44.Kf1 Qh1 checkmate ) 44...Bxd4+ 45.Re3 ( 45.Ke2 Qd3 checkmate) ( 45.Kf1 Qf3+ 46.Rf2 Qxf2 checkmate) 45...Qxe3+ 46.Kf1 Qc1+ 47.Ke2 Qc2+ 48.Ke1 ( 48.Kf1 Qd1 checkmate) 48...Bc3+ 49.Rd2 ( 49.Kf1 Qb1+ 50.Kf2 ( 50.Ke2 Qe1 checkmate) 50...Qe1 checkmate) 49...Bxd2+ 50.Kf1 Qd1+ 51.Kg2 Qe2+ 52.Kg3 Be1+ 53.Kh3 Qf3+ 54.Kh2 Bg3+ 55.Kh3 Bxf4+ 56.Kh4 Qg3+ 57.Kh5 Qxg5 checkmate