White to play and mate in 16

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Avatar of lopside

I'm sure many have seen this problem, indeed, I've no doubt it's been posted here before, but I found it amusing.  

Avatar of lopside

There are quite a few alternate paths to take the c5 pawn, but it needs to be done in four moves in order to make mate in 16.  So the problem is a little jacked up in moves eight through eleven.  But still fun!

Avatar of theresalion

u had to go h3,h4; why??? just to get to sixteen????

Avatar of lopside
theresalion wrote:

u had to go h3,h4; why??? just to get to sixteen????


if h4 first, the queen will never be on the correct square when you have to capture b3, and the mate will fail.  You can try it in analysis.  Knights need either an odd or an even number of moves to land on any given square no matter what.  So if h4, no number of moves will produce a better result than a draw, but h3 wins.  

After the first move, one way to analyze the position is to count the number of moves from h8 to b3 (shortest route is five moves, right?) then count an even or odd number of moves for the queen to move back and forth... in this case, five, so five moves (or any odd number of moves) puts her on a2.  So!  You need to promote on an even numbered move, otherwise the queen will always be on a2 when you try capture on b3.  Promotion happens in five moves after 2. h4, or six moves after 2. h3.  Clearly, six is an even number, so you have your solution.  

The problem is clearly ridiculous, but it illustrates at least this principal about knights :)

 

ps: Fruit (a very strong chess computer) is totally unable to solve this until you feed it the first two correct moves.. it completely dismisses h3 and refuses to consider it until you force it.  Glaurung finds the correct mate in 16 after about 20 seconds of thinking.  


Avatar of setanator

i saw many times that the night could have ben taken so it wouldent work

Avatar of lopside
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Avatar of emtofaan

what can i say?? good joke.