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1.e6 (A)1... fxe62.f7+ Nxf7(2.... Qxf7 loses Q without any compensation.)3.Qg6 Qe8(3.... Qe7 4.Qh7+ Kf8 5.5Qh8#)4.Qh7+ Kf85.Nf4 Ke7(5... Rc6 6.Ng6#)6.Rxe6 wins Q.(B)1... g62.e7 Qe83.Qh4 h54.Qg5 followed by 5.Qh6 and 6.Qg7#(C) 1... Ng62.fxg7 Qxg7(2...Kxg7 3.Rxf7+ wins)3.Rxf7 wins
1.e6 g6 2.exf7+ Kh7 3.Ng5+ hxg5 4.Qh3+ Qh6 5.Rf3 Nxf7 6.Re7 Kg8 7.Rxf7 Qxh3 8.Rg7+ Kf8 9.Rxh3 /+-/
I think 1.e6 is the strongest approach:1. e6 fe6 (alternatives below)Now, white has a choice again- retake at e6 with the rook, or play f7+. I will cover both since I think they are largely equivalent in term of winning:2. f7 Nf7?! (Qf7!? 3.Rf7 wins)3. Qg6! Qe8 (mate otherwise)4. Re6Stronger here might be Qh7, but is more complex than the brute force 4.Re6. Continuing:4. .....Qe6 (mate otherwise)5. Qe6 wins easily.At move 2, white should win with an immediate recapture at e6, but it is more complex to my mind than 2. f7+:1. e6 fe62. Re6White is now threatening both f7 and fxg7. I don't see a real defense. Black can't play either g6 or g5 here. I don't see a better move here than Rc6:2. .....Rc63. fg7White should win with 3.f7+, too. Continuing:3. .....Qg7 (any better?)4. Qg7 Kg75. Re7 wins a piece and white still has a devastating attack on the king.So, at move 1, can black improve on fxe6? The reasonable alternatives I see are g6 and Re8:1. e6 g62. ef7 Qf7 (Nf7 3.Qg6 Kh8 4.Qh7#)If black plays Kf7, 3.Re7 wins. If black plays Kh7, then 3.Re7 Rab8 4.Ng5 will mate black eventually. Continuing:3. Re7 and white wins with ease.Finally, at move 1:1. e6 Re82. e7 Re7 (what else now?)3. Re7 wins.
After observing the comments I had to think whether my part(B) is wrong.1.e6 g62.e7 Qe83.Qh4 does black have some defence?(3... Qh7 4.Ng5+ Kg8 5.Qxh6 wins).Then after 3... h54.Qg5 Rc6(4.... Qh7 is refuted by 5.Qxh5+)5.Qh6 Rxf6 6.Ng5 Rxf1+7.B/R/Kxf1 Qxe78.Qh7+ Kf89.Qxh8#
Prof S.G."Wrong" is too strong a word in many chess situations. I hadn't considered 2.e7 simply because 2.exf7 works to win, and it never really occurred to me to look further afield. I reviewed your comment earlier today, and concluded 2.e7 is as good or better than my suggestion.
Dear Yancey,I was trying to find out whether there was a loophole in my analysis.This usually happens to me when nobody else endorses my view.My view was based on white Q finding a way to g7.Suppose there is a way for black to stall my plan of reaching g7.The position is still won but white has to think of fresh adventure on Q side.I had actually planned to take the rook by 5... Rxf6 6.Rxf6 satisfied with a R for a P but mate would be far away.But only yesterday i hit upon 6.Ng5 leading to mate.
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