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Nine trolls (Posted on 2015-07-23) Difficulty: 2 of 5
Nine trolls are placed in the cells of a three-by-three square.
The trolls in neighboring cells shake hands with each other.
Later they re-arrange themselves in the square and the neighbors greet each other once more.
Then they repeat it again for the 3rd time.

Prove (or provide a counterexample) that there is at least one pair of trolls who didn’t greet each other.

Based on a problem in Russian "Kvantik",2012

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Solution.....needs editingJer2015-07-23 20:46:43
re(2): computer solutionCharlie2015-07-23 12:22:03
re: computer solutionCharlie2015-07-23 12:15:34
Solutioncomputer solutionCharlie2015-07-23 11:57:51
re: computer solutionCharlie2015-07-23 11:37:25
Hints/Tipsre: Solution.....needs editingAdy TZIDON2015-07-23 10:51:38
SolutionSolutionJer2015-07-23 10:25:35
computer solutionDaniel2015-07-23 10:13:56
Some Thoughtsonly a startCharlie2015-07-23 08:27:41
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