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In looking at it for about 5 seconds...

1. fxg6 hxg6
2. Nf5+ Kf7 (2...Kh8?? 3. Qh6+ Kg8 4. Qg7🙄
3. Qh6

Hmm, actually, I don't think that works. I'll think about it some more.

2. Rxg6+ Kf7
3. Qh6

is better. Quite sure that's not the solution though due to the anticipated 1...hxg6.

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Nxg6?

Although I don't think that leads anywhere.

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Black got something going there. For black look at

1. - Nc3+!!

If white takes the N with the b pawn then black captures back with a discovered check and attacking white's Queen.
If white doesn't stop this move within his next move then white is going to lose heavy material. (His Queen or his Rook). When I look at it more, white could eventually get mated

Really I have no idea how to help white here

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the best i have is 1.f4, getting an entry square..

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Is white supposed to win?

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Find the best possible move for white.

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Originally posted by kenan
Find the best possible move for white.
Well I figure Nxg6 then with ...hxg6 2.Rxg6+ giving white a pretty nice looking position.

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Originally posted by cmsMaster
Well I figure Nxg6 then with ...hxg6 2.Rxg6+ giving white a pretty nice looking position.
1.Nxg6 Nc3+! and white is toast by either 2. bxc3 bxc3+ or else 2...Qxa2#.

White needs a quick kill that I just don't see. Maybe start with Qh6+!?

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what about b3?!

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Originally posted by irontigran
what about b3?!
It doesn't stop Nc3 though. Black has a double-threat with Qxa2#.

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Originally posted by bosintang
It doesn't stop Nc3 though. Black has a double-threat with Qxa2#.
ok yeah... i forgot about the 2nd mate threat, by plan there was to block the pawn and give up the rook for a diagonal... back to the drawing board..

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Originally posted by bosintang
1.Nxg6 Nc3+! and white is toast by either 2. bxc3 bxc3+ or else 2...Qxa2#.

White needs a quick kill that I just don't see. Maybe start with Qh6+!?
Hm, yeah that might be a problem. I guess white could try 2.Qxc3 bxc3 3.Nxe5+ but I doubt that gets anywhere anyway. Rxg6+ must be white's first move then.

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This is a wildgoose chase, isn't it. White's best move is to resign.

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Originally posted by bosintang
This is a wildgoose chase, isn't it. White's best move is to resign.
Certainly not.

Hint: Almost all of the above posters brought up excellent points.