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How does white checkmate?

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rok300

Barring any blunders, how does a King and Queen checkmate a King and Rook in this situation?  Here's the board with white to move:

 

 

 

 

 

 

White is only playing for the draw, but I am curious as to whether or not black can win this game outright.  Thanks for the help!


rok300
Sorry, I am new to the site and don't know how to edit the title.  It should have read "How does black checkmate?"  Not white. 
mxdplay4
The answer is black can win, but the sequence is complicated.  I can't remember how it goes, but you basically restrict the rooks moves and force the king to a corner, then fork the rook after a series of checks with the queen after the rook is forced to move away from the king.
hybridy

Well, that was incredibly messy and painful. It'll look something similar to this, I believe:

 


Jambux_Josh
i think a draw is more likely.
rok300

Thanks guys for the insight.  I am white in this example and offered my opponent a draw after about 40 moves with the current setup.  He still declined and insisted he was positive he could win even if I didn't make any blunders.  He wants to continue the match until he wins or finds out he can't win.  This was our eighth match, with me leading 6-1.  LOL, as you can see he really wanted the win and not a draw. 

Additionally, I appreciated the attempt with the macro diagram, but it contained several blunders essentially handing the match over to black. 


hybridy
rok300 wrote:

Thanks guys for the insight.  I am white in this example and offered my opponent a draw after about 40 moves with the current setup.  He still declined and insisted he was positive he could win even if I didn't make any blunders.  He wants to continue the match until he wins or finds out he can't win.  This was our eighth match, with me leading 6-1.  LOL, as you can see he really wanted the win and not a draw. 

Additionally, I appreciated the attempt with the macro diagram, but it contained several blunders essentially handing the match over to black. 


Ahh, I made a few blunders? I'm pretty sure both sides played somewhat solidly in my diagram. Could you point out where white could have played better? I'll see if I can't clear up why I moved the way I did XD


rok300
The key strategy for white to play for the draw is to keep the king and rook close and out of pins, skewers, or forks.  Your move relocating the rook to the back rank would be a blunder.  Nor is white allowing itself to be pinned in the corner.  White can still maintain the center on most all of black's checks. 
cyberknight92
chances are that you would wait for the king to get behind the rook and check the king and get the rook, it is difficult to do, but remember that after you get the rook he has 50 moves.
YuvalW
Black can win this kind of position... you need to keep a knight-move distance from his king with your queen and then force the king move or the rook move away from the king... now you only need to fork them and get the rook...
hybridy
rok300 wrote: The key strategy for white to play for the draw is to keep the king and rook close and out of pins, skewers, or forks.  Your move relocating the rook to the back rank would be a blunder.  Nor is white allowing itself to be pinned in the corner.  White can still maintain the center on most all of black's checks. 

I realize that, but relocating to the back rank is white's only move in the situation I presented. If white moves anywhere else, he's one to two moves from losing his rook no matter what. The back-rank move actually prolongs death for an extra turn...


grolich
Jambux_Josh wrote: i think a draw is more likely.

It's a known win. So there is no question of it being a draw.

The only problem is, it is not as simple as it was once believed. It is still a win though, even if a complex one