[Title "The Chess Monthly, 11/1860, Helpmate In 3 Moves (Version)"]
[FEN "6R1/7q/8/5k2/3K1B2/8/8/8 b - - 0 1"]
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Now, in this chess problem by Samuel Loyd, both sides work together for a checkmate. If Black is to move first, how can White give mate in 3 with Black's cooperation?