Three people left 3 different trails. We give you here the start and the ends of each one of the people (you don’t know who ended where). We also give you how many times each one of the people has turned up, down, right or left and how many times each one of the people get into an intersection that someone else has also passed. A: north 5, south 1, east 3, west 2, crosses 9
B: north 5, south 0, east 2, west 2, crosses 8
C: north 6, south 1, east 2, west 4, crosses 9

Can you reconstruct the three trails?

(In reply to Solution by Penny)

Penny,  prior to publication I saw Assaf's solution which I think I had been assured was unique.

Looking over your presentation I would have to agree with that you have abided by Assaf's criteria, however there is something 'unique' in your 'unique' solution.  None, yes not one, of your exits match his!

We have a paradox!  A problem with a unique solution has a different unique solution :-)  

............  maybe it's because of the exit strategy [frown] ???

Posted by brianjn on 2007-06-25 04:14:31