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## THE ECCENTRIC CHEESEMONGER.

(

Moving Counter Problem)

The cheesemonger depicted in the illustration is an inveterate puzzle

lover. One of his favourite puzzles is the piling of cheeses in his

warehouse, an amusement that he finds good exercise for the body as well

as for the mind. He places sixteen cheeses on the floor in a straight

row and then makes them into four piles, with four cheeses in every

pile, by always passing a cheese over four others. If you use sixteen

counters and number them in order from 1 to 16, then you may place 1 on

6, 11 on 1, 7 on 4, and so on, until there are four in every pile. It

will be seen that it does not matter whether the four passed over are

standing alone or piled; they count just the same, and you can always

carry a cheese in either direction. There are a great many different

ways of doing it in twelve moves, so it makes a good game of "patience"

to try to solve it so that the four piles shall be left in different

stipulated places. For example, try to leave the piles at the extreme

ends of the row, on Nos. 1, 2, 15 and 16; this is quite easy. Then try

to leave three piles together, on Nos. 13, 14, and 15. Then again play

so that they shall be left on Nos. 3, 5, 12, and 14.

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