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(a) 1.Qc1 Kf5 2.Qf7+ Kg5 ( 2. …Qf6?? 3.Qxf4# ) 3.Qcxf4+ ( or 3.Qfxf4+ Qxf4+ [ or 3. …Kh5 4.Qh1# ] 4.Qxf4+ Kh5 5.Qh4# ) 3. …Qxf4+ ( or 3. …Kh5 4.Qh7# ) 4.Qxf4+ Kh5 5.Qh4#
(b) 1.Qc1 Qd4 2.Qh4+ Kf5 3.Qcxf4+ ( or 3.Qhxf4+ Qxf4+ 4.Qxf4# ) 3. …Qxf4+ 4.Qxf4#
(c) 1.Qc1 Qd6 2.Qh4+ Kf5 3.Qcxf4+ ( or 3.Qhxf4+ Qxf4+ 4.Qxf4# ) 3. …Qxf4+ 4.Qxf4#
1. Qc1 Kf5 2. Qf7+ Kg5 [2…Qf6 3. Qxf4#] 3. Qcxf4+ Qxf4+ [3…Kh5 4. Qh7#] 4. Qxf4+ Kh5 5. Qh4#
1. Qc1 Kf5 2. Qf7+ Kg5 3. Qxf4+ Qxf4 4. Qxf4+ Kh5 5. Qh4#
KE6!
1. Qc1 threat is Qh4+ 2. Kf5 Qc8+ wins
Well done
Well done
Well done
You probably mean 1.Qe6, which wins also but white played 1.Qc1 in the game.
1. Qe6? Rg4++ 2. Kf2 Qg3+ and the white king is chase begins!