## THE MOTOR-GARAGE PUZZLE.

(

Moving Counter Problem)

The difficulties of the proprietor of a motor garage are converted into

a little pastime of a kind that has a peculiar fascination. All you need

is to make a simple plan or diagram on a sheet of paper or cardboard and

number eight counters, 1 to 8. Then a whole family can enter into an

amusing competition to find the best possible solution of the

difficulty.

The illustration represents the plan of a motor garage, with

accommodation for twelve cars. But the premises are so inconveniently

restricted that the proprietor is often caused considerable perplexity.

Suppose, for example, that the eight cars numbered 1 to 8 are in the

positions shown, how are they to be shifted in the quickest possible way

so that 1, 2, 3, and 4 shall change places with 5, 6, 7, and 8--that is,

with the numbers still running from left to right, as at present, but

the top row exchanged with the bottom row? What are the fewest possible

moves?

One car moves at a time, and any distance counts as one move. To prevent

misunderstanding, the stopping-places are marked in squares, and only

one car can be in a square at the same time.

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THE TEN PRISONERS.
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A RAILWAY MUDDLE.