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I’d try 1. Bxg6, threatening Qxf7+. If 1… fxg6 then 2.Bh6.
Bg6 seems pretty obvious, though the followup is much less so:
1. Bg6 Rf8
The only important alternative is fg6, but after 2.Bh6, black can delay the coming mate at g7 only a single move. Continuing:
2. Bh7
A challenge might be to see if 2.Bh6 wins, too. I don’t know. I worked on it for a while, but it is far more complicated and I couldn’t quite convince myself that it actually wins. Continuing:
2. …..Kh7
Nothing will hold for black- he must take at h7 now or later: [2. …Kg7 3.Qf6 Kh7 4.Qh6 Kg8 5.Bf6+-]; or [2. …Kh8 3.Qf8 Kh7 4.Qf7 Kh8 5.Bf6+-]. Continuing:
3. Qf8 Qg5
Nothing will hold. Black can give up the queen a variety of other ways, but the mating net is intact. If black queens the pawn, white just takes at f7 and then plays Bf6 with check winning. Continuing:
4. hg5 and no matter what black does other than Kg6, white will play Qf7+ followed by g6 and Qh7# eventually.
1Bg6 2 Bh6 3 Queen mates
Bh6 followed by Qf6 is not sufficient as a1/Q is followed by a sacrifice of the new queen on h1, Qh3+ and Ra1#.
So i thought
Nb3 stops this threat. Black can try to play to open the diagonal for the bishop b7 with d4, but it’s behind in tempos, for example:
Nb3 d4
Qxb7
1.Bh6 g5
2.hxg5 h5
3.Qf6 hxg6+
4.fxg6 1-0
-cogitate
Spent some time eliminating other moves, to ensure that the below sequence is the right one.
1. Bxg6!
Threatens 2. Qxf7 leading to mate. The bishop cannot be taken due to 1… fxg6 Bh6!! after which mate is unavoidable. So there is only one thing that black can do, which is:
1… Rf8
2. Bh7+!!
Now there is no escape. The best thing to do is to take the bishop, after which:
2… Kxh7
3. Qxf8
Now if black leaves things alone, he is lost:
3… a1=Q
4. Qxf7+ Kh8
5. Bf6+ Qg7
6. Qxg7#
So he has to do something drastic, like:
3… Qxg5
4. hxg5 a1=Q
5. Qxf7+ Kh8
6. g6
Now there is no way black can avoid mate.
I had thought black managed to save the position after his 3rd move in this variation, but later on realized it is still a lost game.
Bg6 fg, Bf6
mustafiz
1. Bxg6, Rf8 (1. .., fxg6 2. Nxe5, Qxe5 (the only way to delay the mate at Qg7 3. Qxe5+, Kg7 (3. .., Kf8 loses instantly to Bh6# and 3. .., Kh7 loses to Qf7 followed by Bf6#) 4. Qe7+, Kg8 or h8 5. Bh6 and the mate Qg7# cannot be prevented)
1.Bxg6 Rf8 2.Bh7+ Kh8 3.Qxf8+ Kxh7 4.Qh6+ Kg8 5.Nxe6 Qxe6 6.Bf6
1.Bxg6 Rf8 2.Bh7+ Kxh7 3.Qxf8 Qxg5 4.hxg5 a1=Q 5.Qxf7+ Kh8 6.Nxe6 Qxe5 7.g6
1.Bxg6 Rf8 2.Bh7+ Kg7 3.Qf6+ Kxh7 4.Qh6+ Kg8 5.Nxe6 Qxe6 6.Bf6 Qxf6 7.exf6
i think, the only try is Bxg6, because it threatens Qxf7 and Qh7 mate, and after fxg6, Bf6 will be mate.
But what to do after Rf8?
i don´t know. maybe Nb3 with the threats of Qxb7, Qxb4 and, in case the queen moves, most of all Bh6.
greets, jan
White should summon the arbiter, point to the presence of a Black pawn on a2, and claim a win.
1Bxg6 Rf8
The only plausible defence. 1… fxg6 2Bf6 followed by mate at g7.
2Bxh7+ This buys time.2Bf6 Qxg6
2…. Kxh7
2…Kh8 3Bf6+ Kxh7 4Qxf8 followed by 5Qh8+ and 6Qg7#
3Qxf8 A quiet move Now 4Qxf7+ can not be prevented.
Bh6 works as a second move regardless of whether black plays Rf8 or not. No need to calculate Bh7.
Dear Anonymous at 11:31:00 A.M.,
1Bxg6 Rf8
2Bh6 Qxg6
3Qxf8+ Kh7
What next?
In my posting also there is technical error. It should 2Bh7+ and not 2Bxh7+.also in subvariation 2… Kh8 3Qxf8+ is superior.(Yancey)