It seems to me that black is threatening Ke5 and Kf6 with what should be a clear draw. If white is to win, he must not waste time trying to bring his king to either pawn at first. This suggests pushing the g-pawn immediately. This isn’t crazy- the rook is tied down to defending d8, so the bishop is immune. The idea is to get the pawn ahead of the black king to the point where it can’t be caught, and to form a wall with the bishop and pawn so that the black king can’t get in front of the g-pawn, and give white time to bring his king up the h-file after that. What you are aiming for is the pawn on g5 and the bishop on g4 or h3 before bringing the king up:
1. g5 Ke5
Everything else loses, too. Any non-checking rook move off the d-file loses to d8(Q). If black checks from e5, white plays Be4 and the rook can’t even return to d5: [1. …Re5 2.Be4! Re4 (2. …Ke4 3.d8Q+-) 3.Kd2+-]. Also, Rd6 loses to g6 and the rook can’t stop both pawns by itself, and the king is already too far away from either pawn to aid. Continuing:
2. Bg4!
Here, Bh3 is also good. The set up is a common one in B+P vs K+Piece endgames. The black king has no access to e6, f6, and f5- what I call a corner-wall. In addition, the black king can’t even get to d6 without allowing white to queen the d-pawn. Now, if black plays Kf4 attacking the pawn and bishop simultaneously, white just pushes with g6 and the rook is helpless to stop the two pawns by himself. And if black tries capturing at d7, that wall saves white’s remaining pawn: [2. …Rd7 3.Bd7 Kd6 4.g6 Ke7 (4. …Kd7 5.g7+-) 5.Bf5 and white will hold the pawn while bringing the king up to finish off the game]. Black probably strings this out the longest with either Rd4 or Rd6- also, this gives white the chance to mess up by pushing the g-pawn prematurely:
2. …..Rd6 3. Kf3
With the black king no longer able to get to the g-pawn, now is the time to bring the white king into play. Continuing:
3. …..Rd3
There is nothing better. Continuing:
4. Kg2 Rd2
Here, if black moves the king to f4 or e4, white pushes the g-pawn and wins, so black doesn’t even have the option of keeping the rook at the fourth rank. Continuing:
5. Kh3 Rd3 6. Kh4 Rd2 7. Kh5 Kf4
This is one last trap set by black. Continuing:
8. Be6!
Surely not 8.g6?? Rh2 followed by mate! Continuing:
8. …..Rd6
Here, Ke5 and Rh2 both lose more quickly by not even allowing a rook vs queen ending: [8. …Ke5 9.Bh3! Rd6 10.Bg4 Rd3 (or 10. …Rd2 11.Kh6 Kf4 12.Be6! Ke5 13.Bh3! Rd6 14.Kg7 Kf4 15.g6 Kg5 16.Kf7+-) 11.g6 Kf6 12.Kh6 Rd2 13.g7 Kf7 14.Bh3! and black doesn’t have time to pin and win the bishop, and the black king can’t move over to guard d8 without allowing g8Q]; or [8. …Rh2 9.Kg6 Rd2 (or 9. …Rh8 10.Kg7 Rd8 11.g6 Ke5 12.Kf7 Kd6 13.g7+-) 10.Kf6 Ke4 11.g6 Rf2 12.Ke7+-]. Continuing:
It seems a draw. The white king can go to h4 to support the g pawn advance, but the black king can control the g5 and e5 squares, while the black rook watches the d pawn. Be6 followed by Rd6, and the black king can get to f6. The bishop doesnt have many squares to go to, it has to protect the d pawn. The rook can control the d pawn while it watches the d file preventing the white king to go to the queen side. Also on d6 the rook can help prevent the g pawn advance, while the black king can go to f4 forcing the bishop to stay protecting the g pawn.
I didn’t really cover the moves that draw for white, but it is instructive to look at them:
1. Be6 Rd6
Certainly, Rd6 is the only move that doesn’t lose since Re5+ is met by Kd2 and the d-pawn can no longer be prevented from queening. Continuing:
2. Kf3
Here, 2.g5 is met by the same move by black. Continuing:
2. …..Ke5 (only move to draw) 3. Bf5
What else can white try here? Continuing:
3. …..Kf6
Now, the question is this- how does white make progress? If white tries Kf4 to push g5, black just checks with the rook from d4. If white makes for h4/h5, black just cuts him off with Kg5. Let’s look at the first of these to make the point explicit about both:
4. Kf4 Rd4 5. Kg3 Kg5 and this is clearly drawn. And black almost surely had other drawing moves at moves 4 and 5.
So, let’s look at 1.Kf3 with the idea of reaching h4/g5 (this is too slow as should be obvious from the line above and simple counting):
1. Kf3 Ke5
Here, Ke5 is surely the only draw available for black. Continuing:
2. Kg3 Kf6
I am not 100% sure, but rook moves along the d-file (other than Rd3) are probably draws, too, since white is still not in position to cut off the black king from f6. Continuing:
3. Kh4
Here, 3.Kf4 will just transpose to the previous line above. Continuing:
3. …..Rd6
Without analyzing it, I can’t be sure that 3. …Ke7/f7/g7 draw for black, but I see absolutely no reason to give up control of g5- white can’t push g5 without losing his bishop, and the bishop can’t be moved without giving up the d-pawn. Continuing:
Of course, Rd4 is now a mistake (as are king moves) since white plays Ke8 and the black rook must be able to check from the e-file to hold. Continuing:
9. Ke8 Re5 10.Kd8
Or repeat with Kf8. Continuing:
10. ….Rd5 11. Kc7
Or repeat with Ke8. Continuing:
11. ….Ke7
The only move to draw probably, but more than enough, and easy to see. Continuing:
12.Kc6
Here, I think white must really concede the draw. Trying to win with g5 is a likely loss since black plays Rc5, and white will lose his bishop and both pawns in short order. Continuing:
Well, I would play 1. g5, as the White bishop is immune from capture by the Black rook, having to guard the d-pawn.
The best defense to 1. g5 appears to be 1. … Ke5, and now White must not play 2. g6, since 2. … Kf6 holds everything.
But White can play 2. Bg4 or 2. Bh3, the idea being to keep Black’s king out of f6 and f5. This should win as, now White will be able to bring her King up (the h-file) to support the g-pawn.
I don’t have any definitive variations on this, but I think this strategy will work. The important thing is not to be in a hurry. White has time to bring her king up to support the g-pawn.
1.g5 Ke5 (RxB?)
(..Rd6,g6 Ke5,g7…)
2.Bg4! Rd6 (only one, any other move with king to other side… g6-g7-g8Q )
3.Ke3 Rd5
4.Rd6 g6!
5.Rf6 Af5!!
And white wins with the king to the battle
Key piece avoid rook move to e1
Kf3 should let the king get around the pawn and eventually support pawn on d7 creating zw.
1.g5 Ke5 2.Bh3 3.Rd4
[2…Rd6 3.Ke3 4.Ke2 Rd4 5.Bg4 Rd6 6.Ke3]
3.Bg4 Rd6
[3…Re4+ 4.Kf2 Rd4 5.Kg3 Rd3+ 6.Kh4 Rd6 7.Kh5]
4.Ke3 Rd4 5.g6
It seems to me that black is threatening Ke5 and Kf6 with what should be a clear draw. If white is to win, he must not waste time trying to bring his king to either pawn at first. This suggests pushing the g-pawn immediately. This isn’t crazy- the rook is tied down to defending d8, so the bishop is immune. The idea is to get the pawn ahead of the black king to the point where it can’t be caught, and to form a wall with the bishop and pawn so that the black king can’t get in front of the g-pawn, and give white time to bring his king up the h-file after that. What you are aiming for is the pawn on g5 and the bishop on g4 or h3 before bringing the king up:
1. g5 Ke5
Everything else loses, too. Any non-checking rook move off the d-file loses to d8(Q). If black checks from e5, white plays Be4 and the rook can’t even return to d5: [1. …Re5 2.Be4! Re4 (2. …Ke4 3.d8Q+-) 3.Kd2+-]. Also, Rd6 loses to g6 and the rook can’t stop both pawns by itself, and the king is already too far away from either pawn to aid. Continuing:
2. Bg4!
Here, Bh3 is also good. The set up is a common one in B+P vs K+Piece endgames. The black king has no access to e6, f6, and f5- what I call a corner-wall. In addition, the black king can’t even get to d6 without allowing white to queen the d-pawn. Now, if black plays Kf4 attacking the pawn and bishop simultaneously, white just pushes with g6 and the rook is helpless to stop the two pawns by himself. And if black tries capturing at d7, that wall saves white’s remaining pawn: [2. …Rd7 3.Bd7 Kd6 4.g6 Ke7 (4. …Kd7 5.g7+-) 5.Bf5 and white will hold the pawn while bringing the king up to finish off the game]. Black probably strings this out the longest with either Rd4 or Rd6- also, this gives white the chance to mess up by pushing the g-pawn prematurely:
2. …..Rd6
3. Kf3
With the black king no longer able to get to the g-pawn, now is the time to bring the white king into play. Continuing:
3. …..Rd3
There is nothing better. Continuing:
4. Kg2 Rd2
Here, if black moves the king to f4 or e4, white pushes the g-pawn and wins, so black doesn’t even have the option of keeping the rook at the fourth rank. Continuing:
5. Kh3 Rd3
6. Kh4 Rd2
7. Kh5 Kf4
This is one last trap set by black. Continuing:
8. Be6!
Surely not 8.g6?? Rh2 followed by mate! Continuing:
8. …..Rd6
Here, Ke5 and Rh2 both lose more quickly by not even allowing a rook vs queen ending: [8. …Ke5 9.Bh3! Rd6 10.Bg4 Rd3 (or 10. …Rd2 11.Kh6 Kf4 12.Be6! Ke5 13.Bh3! Rd6 14.Kg7 Kf4 15.g6 Kg5 16.Kf7+-) 11.g6 Kf6 12.Kh6 Rd2 13.g7 Kf7 14.Bh3! and black doesn’t have time to pin and win the bishop, and the black king can’t move over to guard d8 without allowing g8Q]; or [8. …Rh2 9.Kg6 Rd2 (or 9. …Rh8 10.Kg7 Rd8 11.g6 Ke5 12.Kf7 Kd6 13.g7+-) 10.Kf6 Ke4 11.g6 Rf2 12.Ke7+-]. Continuing:
9. g6 Ke5 (what else, now?)
10.g7 Ke6 (everything else worse)
11.g8(Q)Kd7
I might have missed a better line for white that doesn’t give a rook vs queen ending, but I honestly don’t see where.
I was thinking Be6 with a win.
Rd6 Kf3 and the g pawn will push easy enough.
Re5+ Kf3 and the d pawn will queen.
otherwise d8=Q or Bxd5 and its game over.
It seems a draw. The white king can go to h4 to support the g pawn advance, but the black king can control the g5 and e5 squares, while the black rook watches the d pawn. Be6 followed by Rd6, and the black king can get to f6. The bishop doesnt have many squares to go to, it has to protect the d pawn. The rook can control the d pawn while it watches the d file preventing the white king to go to the queen side. Also on d6 the rook can help prevent the g pawn advance, while the black king can go to f4 forcing the bishop to stay protecting the g pawn.
The bishop takes it all:
1.Be6 Rd6(2…Re5+ 3.Kf3 /+-) 2.g5 Ke5 3.Bh3! (3…Kg4 4.g6 /+- ) 3… Rxd7 4.Bxd7 Kd6 5.g6 6.Ke7 Bf5 /+-
You need to create a wall to keep the black king at bay.
I didn’t really cover the moves that draw for white, but it is instructive to look at them:
1. Be6 Rd6
Certainly, Rd6 is the only move that doesn’t lose since Re5+ is met by Kd2 and the d-pawn can no longer be prevented from queening. Continuing:
2. Kf3
Here, 2.g5 is met by the same move by black. Continuing:
2. …..Ke5 (only move to draw)
3. Bf5
What else can white try here? Continuing:
3. …..Kf6
Now, the question is this- how does white make progress? If white tries Kf4 to push g5, black just checks with the rook from d4. If white makes for h4/h5, black just cuts him off with Kg5. Let’s look at the first of these to make the point explicit about both:
4. Kf4 Rd4
5. Kg3 Kg5 and this is clearly drawn. And black almost surely had other drawing moves at moves 4 and 5.
So, let’s look at 1.Kf3 with the idea of reaching h4/g5 (this is too slow as should be obvious from the line above and simple counting):
1. Kf3 Ke5
Here, Ke5 is surely the only draw available for black. Continuing:
2. Kg3 Kf6
I am not 100% sure, but rook moves along the d-file (other than Rd3) are probably draws, too, since white is still not in position to cut off the black king from f6. Continuing:
3. Kh4
Here, 3.Kf4 will just transpose to the previous line above. Continuing:
3. …..Rd6
Without analyzing it, I can’t be sure that 3. …Ke7/f7/g7 draw for black, but I see absolutely no reason to give up control of g5- white can’t push g5 without losing his bishop, and the bishop can’t be moved without giving up the d-pawn. Continuing:
4. Kh5 Rd4
5. Kh6 Rd6
6. Kh7 Rd4
7. Kg8 Rd6
8. Kf8 Rd5 (or Rd2 or Rd1)
Of course, Rd4 is now a mistake (as are king moves) since white plays Ke8 and the black rook must be able to check from the e-file to hold. Continuing:
9. Ke8 Re5
10.Kd8
Or repeat with Kf8. Continuing:
10. ….Rd5
11. Kc7
Or repeat with Ke8. Continuing:
11. ….Ke7
The only move to draw probably, but more than enough, and easy to see. Continuing:
12.Kc6
Here, I think white must really concede the draw. Trying to win with g5 is a likely loss since black plays Rc5, and white will lose his bishop and both pawns in short order. Continuing:
12. ….Ra5 and this is clearly a draw.
1.g5 Ke5
(any other lose by g6)
2.Bg4!
Here we have some ideas, one with black is take the tower to file h8-a8 by the move Rd4 wait for king in f column or move Rd6
After Bg4 blacks king dont go any were is that so..
..Rd4
3.Ke3!
(Kf3? Rf4+!..Kx Rf8! and white can’t win)
Rd6 or Rd5 does not maters Kf3-Kh4-Kh5-Kg6-Kf7 imparable one of the peons win!
..Re4!
(Kf3? Rf4=)
4.Kd3!! Rd4+
5.Kc4 zung zang Rd6
6.Kc5..+-
and white wins!
Kf3 lose without move foreward the pawn you will never going to move youre bishop and is tables
Rd6? why i should move that? y going to persuit youre king y atack te bishop and you never going to be able to protected
It is not a draw
“
1.Be6 Rd6(2…Re5+ 3.Kf3 /+-)
2.g5 Ke5 3.Bh3! (3…Kg4 4.g6 /+- ) 3… Rxd7 4.Bxd7 Kd6 5.g6 6.Ke7 Bf5 /+-“
After Bh3!? 3.. Rd4! the best
4.Ke3!
(Kf3? Rf4+! Kanywere Rf8! = tables)
..Re4+! Kd3!!
and white wins with Kf3 it repeats de move Rf4+!
Well, I would play 1. g5, as the White bishop is immune from capture by the Black rook, having to guard the d-pawn.
The best defense to 1. g5 appears to be 1. … Ke5, and now White must not play 2. g6, since 2. … Kf6 holds everything.
But White can play 2. Bg4 or 2. Bh3, the idea being to keep Black’s king out of f6 and f5. This should win as, now White will be able to bring her King up (the h-file) to support the g-pawn.
I don’t have any definitive variations on this, but I think this strategy will work. The important thing is not to be in a hurry. White has time to bring her king up to support the g-pawn.
Indeed, ‘Be6’ line doesn’t work with the White king placed on ‘e’ file:
1.Be6 Rd6( 2.Bf5 Ke5 /=) 2.g5 Rxd6+ /-+
though ‘Bh3’ is still there…
1.g5 Ke5 2.Bh3 Rd4 3.Kf2 Rd3 4.Kg2(4…Kf4 5.g6 Rg2+ 6.Kf1 Kf3 7.Ke1) 4… Rd4 5.Kg3 /+-.
Black can not prevent White from getting on ‘h’.
First easy go for white.
1 b5 Ke5
2 Bg4 Kf4
3g6 KxBg4
4g7 and wins.
If 2…. Rd6
3 Kf3 white brings king around h5 supporting g pawn and wins.