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Solution:
1. g4+ Ke5 2. d4+! Kd6 3. c5+ Kc7
4. b6+ Kc8 5. b7+ Kc7 6. Nb5+ Kc6
7. bxa8=B#!
On move 4 black could also play 4. ....., Kc6!
White then continues with: 5. Ba4+ Kd5 6. Kb5!!
See next diagram.
to here.
Solution:
The only way for black to prevent 7. Bb3# is
6. ....., Bxe3!
Now the black king can escape at d4, so white plays:
7. Nc2 Bxd4! 8. Nb4+ Ke5 9. Nd3+ Kd5
10. Bb3#
to here.