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## A RAILWAY MUDDLE.

(

Moving Counter Problem)

The plan represents a portion of the line of the London, Clodville, and

Mudford Railway Company. It is a single line with a loop. There is only

room for eight wagons, or seven wagons and an engine, between B and C on

either the left line or the right line of the loop. It happened that two

goods trains (each consisting of an engine and sixteen wagons) got into

the position shown in the illustration. It looked like a hopeless

deadlock, and each engine-driver wanted the other to go back to the next

station and take off nine wagons. But an ingenious stoker undertook to

pass the trains and send them on their respective journeys with their

engines properly in front. He also contrived to reverse the engines the

fewest times possible. Could you have performed the feat? And how many

times would you require to reverse the engines? A "reversal" means a

change of direction, backward or forward. No rope-shunting,

fly-shunting, or other trick is allowed. All the work must be done

legitimately by the two engines. It is a simple but interesting puzzle

if attempted with counters.

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