Player (206)
Joined: 2/18/2005
Posts: 1451
6th Puzzle: White moves and makes a draw This is also a pretty hard study of W. Karolkov composed in 1947.
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Player (201)
Joined: 7/6/2004
Posts: 511
1. c7+ Kb7 2. c8Q+ Kxc8 3. Bxg4+ Kb8 4. Rd8+ Kc7 5. Rd7+ Qxd7 6. Bxd7 (position is drawn) if 1. ... Ka7 then 2. Ra6+ Kxa6 3. c8Q+ ... 4. Qxg4 (position is drawn or better) if 1. ... Ka6 or Kb6 then keep checking him with rook until game is drawn or he moves into 7th row (use already shown sequence that leads to draw) or cth column. Then ... c8Q ... Qxg4 (position is drawn or better). if he moves into 3rd row where your roock cannot check him anymore, then your rook is already on 4th row so you can play c8Q without fear of Qe4++. (position drawn or better) Maybe there is a better answer that leads to a forced draw instead of just a drawn position?
g,o,p,i=1e4,a[10001];main(x){for(;p?g=g/x*p+a[p]*i+2*!o: 53^(printf("%.4d",o+g/i),p=i,o=g%i);a[p--]=g%x)x=p*2-1;}
Player (206)
Joined: 2/18/2005
Posts: 1451
your solution to the other lines is correct: 1. c7+ Ka7 2. Ta6+ but what if black plays 2....Kb7! instead of capturing the rook?
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Player (201)
Joined: 7/6/2004
Posts: 511
Ah tricky. if 1. c7+ Ka7 2. Ra6+ Kb7! then 3. Bf3+ gxf3 (all King moves lead to draw quickly) 4. Rg6 Qxg6 5. c8Q+ now white can perpetually check black until he captures queen, making stalemate. if 4. ... Qxc7 5. Rg7 if 4. ... any other move 5. c8Q and you can chase check around until black is forced to capture your rook and queen or lose material. pretty funny scenario
g,o,p,i=1e4,a[10001];main(x){for(;p?g=g/x*p+a[p]*i+2*!o: 53^(printf("%.4d",o+g/i),p=i,o=g%i);a[p--]=g%x)x=p*2-1;}
Player (206)
Joined: 2/18/2005
Posts: 1451
You do well, but still a problem: What if black don't capture the rook after 4. Rg6 but moves the Queen to 4....Qd7! instead with dangerous Qd1++ mate-threat? :-) If you check the king he moves to a4 or b4 and then the black pawns will close your line to check one more time without leaving the g-line with the rook... and then if black captures the rook it won't be stalemate because the queen is already on d7. PS: Using Fritz won't help that much here, you need to see the correct line with human-intelligence. Computers are to stupid to see the solution.
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Player (201)
Joined: 7/6/2004
Posts: 511
doh.
g,o,p,i=1e4,a[10001];main(x){for(;p?g=g/x*p+a[p]*i+2*!o: 53^(printf("%.4d",o+g/i),p=i,o=g%i);a[p--]=g%x)x=p*2-1;}
Joined: 4/4/2004
Posts: 66
The missing piece of the solution: 1. c7+ Ka7 2. Ra6+ Kb7 3. Bf3+ gxf3 4. c8=Q+ Kxc8 5. Rg6 Now, white is threatening to play Rg8+ followed by Rg7 with an immediate draw. None of black's king moves or queen moves away from the h-file help. For instance, 5... Qe7 6. Rg8+ Kd7 7. Rg7= This leaves black with 5... f2 or 5... Qh5. 5... Qh5 6. Rg5 and again, black's only choices that avoid the Rg8-g7 draw are 6... f2 and 6... Qh6. 6... Qh6 and white continues to give chase with 7. Rg6. Now, for the usual reasons, black must play either Qh5, repeating the position, or 7... f2. So, basically, black must play f2 at some point. When black plays f2, there are three possible configurations for the white rook and black queen: g6 and h7, g5 and h5, or g6 and h6. No matter how the queen and rook are placed, white draws by simply checking the king with his rook forever. He must be careful not to allow the black queen to take the rook with check. He must also be careful if the black king tries to hide at g4. For example: 6... f2 7. Rg8+ Kd7 8. Rd8+ Ke6 9. Re8+ Kd5 10. Rd8+ Ke4 and not 11. Re8+?? Kf3 12. Re3+ Kg4 13. Rg3+ hxg3 and black wins, but instead 11. Rd4+ Kf3 12. Rxf4+. White must also not take the f2 pawn with his rook, as then the stalemate will be lifted. However, if white avoids those pitfalls, black cannot escape the rook checks. And yes, Fritz is even worse at this one than it was at Deviance's pawn ending! It keeps giving scores of -12 because it can't see that the rook checks can't be escaped.
Player (206)
Joined: 2/18/2005
Posts: 1451
Absolutely correct solution and very well explained. Forcing black to play f2 is the key for the solution. I guess Fritz takes this move very negative because it also threating mate after f1=Q.
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