NOTE: I accept co-author for removing duals.Thank you.

Popeye Windows-32Bit v4.63 (512 MB)

a)

1.Qf1-c4 ! threat:

2.Qc4*f7 +

2...Ke7-d6

3.Qf7*d7 #

1...d7-d5

2.Qc4*d5 threat:

3.Qd5-d8 #

2...Ke7-f8

3.Qd5*f7 #

1...Ke7-d6

2.Ba5-d8 threat:

3.Qc4-d3 #

 

b) -bPf7

1.Kf5-e4 ! threat:

2.Ke4-d5 threat:

3.Qf1-f7 #

2.Qf1-f7 +

2...Ke7-d6

3.Qf7-f6 #

3.Qf7*d7 #

1...c5-c4

2.Ke4-d5 threat:

3.Qf1-f7 #

1...d7-d5 +

2.Ke4*d5 threat:

3.Qf1-f7 #

1...Ke7-e6

2.Qf1-f7 +

2...Ke6-d6

3.Qf7-f6 #

3.Qf7*d7 #

solution finished. Time = 0.109 s