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 2014-07-16, 06:17 #1 Xyzzy     Aug 2002 23×1,051 Posts July 2014 http://domino.research.ibm.com/Comm/.../July2014.html Whew, where to start?
2014-07-16, 06:29   #2
axn

Jun 2003

2×32×293 Posts

Quote:
 Originally Posted by Xyzzy http://domino.research.ibm.com/Comm/.../July2014.html Whew, where to start?
Start by noticing that all the numbers are consecutive Fibonacci numbers

 2014-07-16, 07:39 #3 retina Undefined     "The unspeakable one" Jun 2006 My evil lair 2·3,167 Posts Perhaps I missed something in the description but it seems that the first player can easily win by simply taking all of the pebbles on the first move leaving none the the second player. Edit: Oops, I certainly did miss something. The shape is supposed to be three dimensional. Last fiddled with by retina on 2014-07-16 at 07:42
2014-07-16, 07:54   #4
Brian-E

"Brian"
Jul 2007
The Netherlands

2·3·5·109 Posts

Quote:
 Originally Posted by retina Edit: Oops, I certainly did miss something.
Hardly surprising, the problem is not very well described. The notation for the example moves seems a little odd too: clearly the six numbers in a move are numbers of pebbles to be taken from each edge of the tetrahedron, but nowhere does the writer define in which order the edges are considered.

I suppose the problem is a variation of the game of Nim.

2014-07-16, 08:17   #5
axn

Jun 2003

10100100110102 Posts

Quote:
 Originally Posted by Brian-E but nowhere does the writer define in which order the edges are considered.
The edges are ordered based on the initial values (1,2,3,5,8,13). The examples clarify that.

 2014-07-16, 23:33 #6 science_man_88     "Forget I exist" Jul 2009 Dumbassville 26×131 Posts so they want all the possible lines to winning ?
 2014-11-02, 19:05 #7 Xyzzy     Aug 2002 23×1,051 Posts

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