Chess solutions

1. White selfmates in 7

1. a7-a8=N g4-g3
2. Nf2-h3+ Ke3-d3
3. Rc4-g4 g3-g2
4. Na8-c7 g2xh1

Continuations according to promotion in the 4th set:

Rook

5. Nh3-f4+ Kd3-c4
6. Nf4-d5+ Kc4-d3
7. Qg1-f1+ Rh1xf1X

Queen

5. Rb5-d5+ Qh1xd5
6. Qg1-f1+ Kd3-e3
7. Ba5xd2+ Qd5xd2X

Knight

5. Qg1-e3+ Kd3xe3
6. Rb5-e5+ Ke3-d3
7. Nh3-f2+ Nh1xf2X

Bishop

5. Qg1-f1+ Kd3-e3
6. Nc7-d5+ Bh1xd5
7. Rb5-b3+ Bd5xb3X

2. White mates in 2

1. Qh8

3. White mates in 2

1. Nb3

4. White mates in 2

1. Nc3