Chess Problem Solutions
1. 
Rhg7 
1. 
... 
Kc8 

1. 
... 
Ke8 

1. 
... 
Nb7 

1. 
... 
Nf7 

1. 
... 
Ne8 

1. 
... 
Nc8 
2. 
Ra8# 


2. 
Rg8# 


2. 
Ra8# 


2. 
Rg8# 


2. 
Ra8# 


2. 
Rg8# 

1. 
Re1 
1. 
... 
Kxe1 

1. 
... 
Bg2 

1. 
... 
B~ 
2. 
Qd2# 


2. 
Qh4# 


2. 
Qg1# 

1. 
Rg4 
1. 
... 
Kc1 

1. 
... 
Kb3 

1. 
... 
Kd3 

1. 
... 
B~ 
2. 
Rc4# 


2. 
Qxd1# 


2. 
Qe4# 


2. 
Qb1# 

1. 
Bb8 
f2 
2. 
Rc7 
Kh2 
3. 
Rh7# 
1. 
Nd5 

(threatening 2. Nc7#) 
1. 
... 
Rg7 

1. 
... 
a4 

1. 
... 
Rc6 
2. 
Rb6# 


2. 
Nc7+ 
Ka5 

2. 
Rb6+ 
Rxb6 




3. 
Rb5# 


3. 
Nc7# 

1. 
g8=N 
b5 
2. 
Ne7 
Kxb4 
3. 
Nc6# 
1. 
Kf5 
Kd6 
2. 
Ne4+ 
Kxd5 
3. 
Kf6 
Kxe4 
4. 
Bc6# 
1. 
Ba3 
b4 
2. 
Bbd4 
bxa3 
3. 
Ba1 
a2 
4. 
Kc3 
Kxa1 
5. 
Kc2# 
1. 
Bd1 

(threatening 2. Bb3#) 
1. 
... 
Kc4 
2. 
Bb3+ 
Kd3 
3. 
Ba4 

(threatening 4. Bb5#) 
3. 
... 
Kc4 
4. 
Bb5+ 
Kd5 
5. 
Nf3 

(threatening 6. Re5#) 
5. 
... 
Kxe6 
6. 
Bc4# 
1. 
c4+ 
Rxc4 
2. 
e4+ 
Rxe4 
3. 
Ne7+ 
Rxe7 
4. 
Nc7+ 
Rxc7 
stalemate 
1. 
Ba6 
ab 
2. 
Bb5 
bc 
3. 
Bc4 
cd 
4. 
Bd3 
de 
5. 
Be2 
ef# 
1. 
Re5 
Kf7 or Kh7 
2. 
g8=R 
f2# or h2# 
1. 
Ra4 
c6 
2. 
Ra5 
c5 
3. 
c4 
g4# 
1. 
c7 
Rd6+ 
2. 
Kb5 
Rd5+ 
(if 2. Kb7 Rd7, and if 2. Kc5 Rd1 3. c8=Q Rc1+) 
3. 
Kb4 
Rd4+ 
4. 
Kc3 
Rd1 
5. 
Kc2 
Rd4 
6. 
c8=R 
Ra4 
(if 6. c8=Q Rd4+ 7. Qxd4 stalemate) 
7. 
Kb3 

(threatening both 8. Kxa4 and 8. Rc1#) 

1  0 
1. 
Be3+ 
Kb7 
2. 
e7 
Rxa3 
3. 
Ba7 
Ra1 
4. 
Kf4 
Rf1+ 
5. 
Bf2 
Rxf2+ 
6. 
Ke3 
Rf1 
7. 
Ke2 

(and the pawn promotes) 

1  0 
1. 
Bh6+ 
Kg8 
2. 
g7 

2. 
... 
e5 

2. 
... 
e6 

2. 
... 
Kf7 
3. 
Ke6 
e4 

3. 
Kd6 
Kf7 

3. 
g8=Q+ 
Kxg8 
4. 
Kf6 
e3 

4. 
Ke5 
Kg8 

4. 
Ke6 
Kh8 
5. 
Bxe3 


5. 
Kf6 


5. 
Kf7 
e6/e5 

1  0 


1  0 

6. 
Bg7# 

1. 
Kg7 
h4 
2. 
Kf6 

2. 
... 
h3 

2. 
... 
Kb6 
3. 
Ke6 
h2 

3. 
Ke5 
3. 
c7 
Kb7 

3. 
... 
h3 

3. 
... 
Kxc6 
4. 
Kd7 


4. 
Kd6 
h2 

4. 
Kf4 
h3 

½  ½ 

4. 
c7 


4. 
Kg3 






½  ½ 


½  ½ 

1. 
f7 
Rf8 
2. 
e6 
b6 
3. 
Kb7 
Kc5 
(if 3. e7 Rxf7 and the epawn is pinned) 
4. 
e7 
Rxf7 
5. 
Ka6 
Rxe7 
stalemate 
1. 
Rf8+ 
Kd7 
2. 
Rf7+ 
Ke6 
3. 
Rf5 


½  ½ 
If black moves away his attacked rook he loses the other one with
Rf6+, and if his king retreats to the 7th rank white checks as
before.
Answer: c3
1. 
Kb3 
Bd5+ 
2. 
c4 
dc+ 
3. 
Kxc3+ 

Answer: h6
Proof
 First consider which white pieces were captured on e6 and h6. The
bishops never moved (look at the pawns), so it must have been the
queen and the missing knight.
 Next consider which black piece was captured on b3. Only the
bishops are missing, and so it must have been the whitesquared
bishop.
 Finally consider the order in which these captures occurred. The
first capture must have been the white knight on either e6 or h6. But
if it was on h6, how could the whitesquared bishop get out to b3? So
it must have been e6, and therefore the white queen must have fallen
on h6.
1. 
Nf3 
e5 
2. 
Nxe5 
Ne7 
3. 
Nxd7 
Nc6 
4. 
Nxb8 
Nxb8 
1. 
e4 
e6 
2. 
Bb5 
Ke7 
3. 
Bxd7 
c6 
4. 
Be8 
Kxe8 
1. 
Nc3 
d5 
2. 
Nxd5 
g6 
3. 
Nxe7 
Nf6 
4. 
Nxg6 
Ne4 
5. 
Nxh8 
Nc3 
6. 
Nxf7 
Qg5 
7. 
Nxg5 
Nb1 
8. 
Nxh7 
Bd7 


9. 
Nxf8 
c6 
10. 
Nxd7 
b5 
11. 
Nxb8 
Kf7 
12. 
Nxc6 
Kg6 
13. 
Nxa7 
Kh5 
14. 
Nxb5 
Ra3 
15. 
Nxa3 
Kh4 
16. 
Nxb1 


Proof Game
1. 
Nf3 
Nf6 
2. 
Ne5 
Nd5 
3. 
Ng6 
Nb4 
4. 
Nxf8 
Nxa2 
5. 
Ng6 
Nb4 
6. 
Ne5 
oo 
7. 
g3 
Nd3+ 
8. 
cd 
a5 
9. 
b4 
a4 
10. 
Nc3 
a3 


11. 
Bb2 
a2 
12. 
Rc1 
a1=Q 
13. 
Bh3 
Na6 
14. 
Be6 
Nc5 
15. 
Nf3 
Qa5 
16. 
Ba2 
Ne4 
17. 
de 
Qf5 
18. 
ef 
Ra6 
19. 
h4 
Rg6 
20. 
fg 
Re8 


21. 
gh+ 
Kf8 
22. 
h8=B 
Kg8 
23. 
Kf1 
Kh7 
24. 
Kg1 
Kg6 
25. 
Nd5 
Kh5 
26. 
Bd4 
Kg4 
27. 
Nh2+ 
Kh3 
28. 
f3 
Rf8 
29. 
Ne3 
Re8 
30. 
Ng2 
Rf8 


31. 
Bf2 
Re8 
32. 
Qf1 
Rf8 
33. 
e3 
Re8 
34. 
Re1 
Rf8 
35. 
Re2 
Re8 
36. 
Be1 
Rf8 
37. 
Qf2 
Re8 
38. 
Kf1 
Rf8 
39. 
Rg1 
Re8 
40. 
Ng4 
Rf8 


41. 
Ne5 
Kh2 
42. 
Nc6 
dc 
43. 
Bb3 
Bh3 
44. 
g4 
Qd7 
45. 
Ba2 
Ra8 
46. 
Bb1 
Qd8 

Description
The wBh8 requires wPc2xd3xe4xf5xg6xh7h8=B, consuming all missing
black units except blacksquared bBf8. Then the bPa7 had to be
promoted before it can be captured. So that a wP (a or b) had to be
captured to open the way (and no 2nd white promotion is possible). The
other missing white unit is a wN, captured by d7xNc6. bPh7 cannot have
been promoted, so that it has been captured at home.
The SE corner unlocks by (1) retracting wPg3g4, then (2)
extracting the bBh3, then (3) retracting bKh3h2, then (4) inserting
something on h2 and (5) retracting Rh1g1. Then everything unlocks.
But only a wN can reach h2 for step (4). This wN must be resurrected
on c6, after bBc8 is driven back home (requiring that e7e6 is taken
back).
Now we see that the bK had to leave the 8th rank before d7xc6 or
e7e6 took place. He had to go through the h7 hole, when there was a
promoted wBh8. Necessarily, the bKR was still there (so that the bQR
has been captured) and it could only let the bK out if the first move
of the bK was OO. (The bR now on a8 is the original bKR, the bKB was
captured at home, the wPa2 was captured on its file).
1. 
d4 
e5 
2. 
Kd2 
ed 
3. 
b3 
d3 
4. 
Kc3 
de 
5. 
Kb2 
exd1=N# 
1. 
e3 
a5 
2. 
Qh5 
Ra6 
3. 
Qxa5 
h5 
4. 
Qxc7 
Rah6 
5. 
h4 
f6 
6. 
Qxd7+ 
Kf7 
7. 
Qxb7 
Qd3 
8. 
Qxb8 
Qh7 
9. 
Qxc8 
Kg6 
10. 
Qe6 

stalemate 