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Keep an eye Onto the other (Posted on 2019-07-19) Difficulty: 3 of 5
An odd number of soldiers are stationed in a field in such a way that all the pairwise distances are distinct. Each soldier is told to keep an eye on the nearest other soldier. Show that at least one soldier is not being watched.

No Solution Yet Submitted by Danish Ahmed Khan    
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solution | Comment 1 of 4
The two soldiers that are closest will stare at each other.  

Likewise, of the remaining soldiers the two closest will stare at each other.

Continuing in this manner the final soldier will have no one to watch him.

  Posted by xdog on 2019-07-19 08:07:53
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