For having knight forks involved in the key lines, I got this one relatively easily, I hope, unless I am missing something stronger:
1. …..Qc2!
And with his queen unprotected, and with it protecting both minor pieces at e2 and e3, it seems to me that white has only three options, Qd4, Qc2, and Qd1, all of which lose-
Variation A with 2.Qd4:
2. Qd4 Rf1 3. Rf1 Rf1 4. Kf1
And here was the hardest black move for me to find:
4. …..Ne6!
And the bishop at e3 will fall since the white queen has no safe square from which to protect it. Even taking the d5 pawn fails to black’s reply of Ne3+ forking the king and queen. Best for white seems to be:
5. Qh4 Ne3 6. Kf2
Here, 6.Ke1 loses to Ng2+ and 6.Kg1 just loses the knight at e2 and is probably mate in another 2 or three moves. Here, though black might be able to continue the attack with Nd1, in an actual game, I would probably just liquidate the position by exchanging off white’s knight with
6. …..Ng2 7. Kg2
Here, 7.Qh5 is adequately met by Ngf4 since Qe8+ is no threat due to Nf8 blocking the check while double covering the e6 square at the same time. Also, 7.Qe7 is met by the same move, Ngf4, and for the same reasons. Continuing:
7. …..Qe2 and the rest is a matter of technique.
Variation B with 2.Qc2:
2. Qc2 Rf1 3. Rf1 Rf1 4. Kf1 Ne3 5. Kf2 Nc2 and black is up a knight for a pawn.
Variation C with 2.Qd1:
2. Qd1 Rf1 3. Qf1 Rf1 4. Rf1 Ne3 and black should win this easily as it is the most materially unbalanced of the three lines.
The cleanest line is:
1… Rxf1+
The immediate 1…Qc2 also works.
2 Rxf1 Rxf1+
3 Kxf1 Qc2!
4 Qxc2
White can’t avoid losing a piece. 4 Nf4 Qxd3, 5 Nxd3 Nxe3+ also loses a Pawn.
4 … Nxe3+
5 Kf2 Nxc2
1…. Rxf1+
2.Rxf1 Rxf1+
3.Kxf1 Qc2+
4.Qd4 Ne6 wins a piece
I spent a while trying to make 3… Qd1+ work before spotting Qc2.
In fact 1… Qc2 also seems to win, though I wouldn’t play it OTB as there is just more to check and possibly go wrong.
1…Qc2!!-+ (a)2.Qxc2 Rxf1+ 3.Rxf1 Rxf1+ 4.Kxf1 Nxe3+ and 5…Nxc2; (b)2.exf6 Qxd3; (c)2.Rfd1 Rf1+! 3.Rxf1 Qxd3; (d)2.Nf4? Rxf4 (or even 2…Qxd3)
1. … Qc2! looks pretty good since 2. Qxc2 is answered by 2. … Rxf1+ 3. Rxf1 Rxf1+ 4. Kxf1 Nxe3+ and 5. … Nxc2.
I think the winning move is
Qc2 before taking the rooks off.
If … QxQ
Rxf1+ Rxf1
Rxf1+ Kxf1
Nxe3+ forking the K&Q.
For having knight forks involved in the key lines, I got this one relatively easily, I hope, unless I am missing something stronger:
1. …..Qc2!
And with his queen unprotected, and with it protecting both minor pieces at e2 and e3, it seems to me that white has only three options, Qd4, Qc2, and Qd1, all of which lose-
Variation A with 2.Qd4:
2. Qd4 Rf1
3. Rf1 Rf1
4. Kf1
And here was the hardest black move for me to find:
4. …..Ne6!
And the bishop at e3 will fall since the white queen has no safe square from which to protect it. Even taking the d5 pawn fails to black’s reply of Ne3+ forking the king and queen. Best for white seems to be:
5. Qh4 Ne3
6. Kf2
Here, 6.Ke1 loses to Ng2+ and 6.Kg1 just loses the knight at e2 and is probably mate in another 2 or three moves. Here, though black might be able to continue the attack with Nd1, in an actual game, I would probably just liquidate the position by exchanging off white’s knight with
6. …..Ng2
7. Kg2
Here, 7.Qh5 is adequately met by Ngf4 since Qe8+ is no threat due to Nf8 blocking the check while double covering the e6 square at the same time. Also, 7.Qe7 is met by the same move, Ngf4, and for the same reasons. Continuing:
7. …..Qe2 and the rest is a matter of technique.
Variation B with 2.Qc2:
2. Qc2 Rf1
3. Rf1 Rf1
4. Kf1 Ne3
5. Kf2 Nc2 and black is up a knight for a pawn.
Variation C with 2.Qd1:
2. Qd1 Rf1
3. Qf1 Rf1
4. Rf1 Ne3 and black should win this easily as it is the most materially unbalanced of the three lines.
1. … Qc2 creates a fork that wins material:
2. Qxc2 Rxf1+
3. Rxf1 Rxf1+
4. Kxf1 Ne3+
5. Kf2 Nxc2
It is not an hard problem. I think the solution is 1.Qc2 Qxc2 2.Rxf1 Rxf1 3.Rxf1 Kxf1 4.Nxe3+ winning
I am assuming that even evil Vidmar can see Qc2
1… Rxf1+
2.Rxf1 Rxf1+
3.Kxf1 Qc2!
winning a piece.
Qc2
c2
1…Qc2 wins a piece.
1. Qc2! Qc2
2. Rf1+ Rf1
3. Rf1+ Kf1
4. Ne3+ and wins
1.-;Dc2 and black wins
qc2 and it is over
From Spain…
1)…,Qc2
2)Qc2,Rf1+
3)Rf1,Rf1+
4)Kf1,Ne3+
5)Kf2,Nc2 +-
1)…,Qc2
2)Qd4,Rf1+
3)Rf1,Qe2
4)Rf8,Kf8 +-
Greetings from Spain
1 … Qc2!!
2 Qc2 Rf1+
3 Rf1 Rf1+
4 Kf1 Ne3+
5 Kf2 Nc2
1…Qc2! 2.Qxc2 Rxf1+ 3.Rxf1 Rxf1+ 4.Kxf1 Nxe3+ 0-1