## THE MANDARIN'S PUZZLE.

(

The Guarded Chessboard)

The following puzzle has an added interest from the circumstance that a

correct solution of it secured for a certain young Chinaman the hand of

his charming bride. The wealthiest mandarin within a radius of a hundred

miles of Peking was Hi-Chum-Chop, and his beautiful daughter, Peeky-Bo,

had innumerable admirers. One of her most ardent lovers was Winky-Hi,

and when he asked the old mandarin for his consent to their marriage,

Hi-Chum-Chop presented him with the following puzzle and promised his

consent if the youth brought him the correct answer within a week.

Winky-Hi, following a habit which obtains among certain solvers to this

day, gave it to all his friends, and when he had compared their

solutions he handed in the best one as his own. Luckily it was quite

right. The mandarin thereupon fulfilled his promise. The fatted pup was

killed for the wedding feast, and when Hi-Chum-Chop passed Winky-Hi the

liver wing all present knew that it was a token of eternal goodwill, in

accordance with Chinese custom from time immemorial.

The mandarin had a table divided into twenty-five squares, as shown in

the diagram. On each of twenty-four of these squares was placed a

numbered counter, just as I have indicated. The puzzle is to get the

counters in numerical order by moving them one at a time in what we call

"knight's moves." Counter 1 should be where 16 is, 2 where 11 is, 4

where 13 now is, and so on. It will be seen that all the counters on

shaded squares are in their proper positions. Of course, two counters

may never be on a square at the same time. Can you perform the feat in

the fewest possible moves?

In order to make the manner of moving perfectly clear I will point out

that the first knight's move can only be made by 1 or by 2 or by 10.

Supposing 1 moves, then the next move must be by 23, 4, 8, or 21. As

there is never more than one square vacant, the order in which the

counters move may be written out as follows: 1--21--14--18--22, etc. A

rough diagram should be made on a larger scale for practice, and

numbered counters or pieces of cardboard used.

Read Answer

Next:

EXERCISE FOR PRISONERS.
Previous:

THE FOUR FROGS.