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1.RxB RxR
2.Re4! +-…
Rxg2+ 3.hxR and white wins, any move by black white gona check in Rh8 follow by Rh7+
Other move’s dont stop mate in g7 or some checks.
The first move was pretty easy to find through a process of elimination. In this position, black is threatening Qg2 followed by mate with either Qh2 or Qg4, so white either needs to check black with the first move, protect g2 with Rg1, or sacrifice the exchange at f3. The only check white has is Qe7, but after Kg8, I don’t think white has better than a draw by perpetual check:
1. Qe7 Kg8!
I will discuss Kh8 in an indirect way when I discuss the actual winning solution. Continuing:
2. Qe6
Here, 2.Rf3 will lead, I think to the same path ultimately. Continuing:
2. …..Kg7 (keep off h-file)
3. Qe5 Kg8 and so on. White could take at f3, but without a key tempo, he can’t win in that line.
As for protecting g2 with the rook, this should lose:
1. Rg1 Rce8!
2. Qc7 Kg8!
3. Re8
Otherwise, black is going to capture at g5 and the attack will kill white. Continuing:
3. …..Re8
4. Qd7 Qe3!
5. Rf1 Rf8!
And, now, I doubt white has anything better than the exchange at f3:
6. Rf3 Qf3 (Rf3 ok, too??)
And this is clearly lost for white.
No, the only real chance white ever had was clearly to play Rf3 on the first move while the black king was still on the h-file:
1. Rf3! Rf3? (Qe1 is below)
2. Re4
The key move. White is threatening Rh4+ with a quick mate to follow. For example, if black plays [2. …Kg8 3.Rh4 Qe3 4.Rh8 Kf7 5.Rh7 and white will mate with either 6.Qh8 or 6.Qg7 depending on where the black king goes. About all I can see here for black is to give up material to delay the mate, but I don’t see a defense against it any longer. Best for black was to concede the queen for two rooks at move 1, but the lack of coordination in black’s pieces looks fatal anyway to black as a few double attacks and threats of double attacks allows white to gain a decisive edge:
1. Rf3 Qe1
2. Qe1 Rf3
3. Qe7! Kh8 (Kg8 4.Qe6+-)
4. Qe4! Rcf8
Here, I didn’t look too deeply at alternatives for black, but I can’t imagine anything being better here than connecting the rooks on the f-file. Maybe Re3 here followed by Rce8 might be similar. Continuing:
5. Qg6 R8f7
Here, white was threatening Qh6 and g6, or even Kg4/Kh5/h4. R8f7 addresses these threats for the moment, but white continues to eat up pawns:
6. Qa6 Kg7 (what else is there?)
7. Qb5 d3
8. Qc5 Kg6
9. Qd5 and white will soon start marching the a-pawn, or free the knight by moving the king. I may have overlooked better lines for both players after move 5 for white, but I have a hard time believing they would have been a lot better, especially for black.
1Rxf3 Rxf3
2Re4 should win easily.
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1.Rxf3 Rxf3
2.Re4 Rcf8
3.Rh4+ Kg8
4.Rh8+ Kf7
5.Rh7+ Kg8
6.Qg7#
Qe7+! 1-0
My initial thought is Rxf3 removing black’s mating threats and if Rxf3 Re4 pretty much forces the win of a ton of material.
A better defense seems to be Rxf3 Qxe1 Qxe1 Rxf3. I don’t see an immediate fork to win a rook but white’s queen and knight probably could win?
I don’t see anything after Qe7+ Kg8 except a draw.
Qe7+
Black is threatening mate (Qg2 followed by Qxh2). White has only one check on the board, Qe7, and it isn’t effective after Kh8 — there is no safe followup move.
However, if White blocks the Black threat, what happens?
1. Ne2 BxN
2. RxR (a) RxR
3. Qe7+ Kh8
4. QxR+ Kh7
5. Rg2
White is up the Rook-bishop exchange.
2. … (b) QxR
3. Qe7#
Mark
It seems that 1. Rxf3 is the best that White can do, but that looks more than sufficient to win:
1. Rxf3 Qxe1
2. Qxe1 Rxf3
3. Qe7+ Kh8
4. Qe4 Rcf8
5. Qxg6
Black can do worse by taking the Rook on f3 on his 1st move, because the gives the White rook on e1 the chance to swing over to the h-file:
1. Rxf3 Rxf3
2. Re4
The threat is:
3. Rh4+ Kg8
4. Rh8+ Kf7
5. Rh7+ Kf8
6. Qh8#
There is no good defense to this. Black can only stave off mate for a few moves by sacrificing a lot of material.