Enigma 56: Sore spots
11 February 2013
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From New Scientist #1199, 20th March 1980 [link]
Sam Sorebottom has just spent his weekend cycling around part of the Fens. He arrived at one of the 16 towns by rail and thereafter cycled madly from town to town, until worn out.
The towns have names starting, conveniently, with the letters A to P and he visited each exactly twice (counting his train arrival at A as his first visit to A). His final destination was M and he used only the roads you see on the map.
He told a friend today that he did the towns in this precise order:
A J N H K G B M I E P F C L D O C G N H O K D L P E I F B J A M.
“That cannot be quite right,” said the friend, after a little thought. “No,” Sam replied, having reconsidered, “I see that I have carelessly transposed two successive towns at exactly one point in the order.”
Even without knowing which town is where on the map, can you name the transposed towns?