the same. Also, if you make the 4, 9, 5 change places with the 7, 3, 8,
and at the same time exchange the 1 and the 6, it will not be different.
But if you only change the 1 and the 6 it will be different, because the
order round the triangle is not the same. This explanation will prevent
any doubt arising as to the conditions.

[Illustration]


385.--"STRAND" PATIENCE.

The idea for this came to me when considering the game of Patience that
I gave in the _Strand Magazine_ for December, 1910, which has been
reprinted in Ernest Bergholt's _Second Book of Patience Games_, under
the new name of "King Albert."

Make two piles of cards as follows: 9 D, 8 S, 7 D, 6 S, 5 D, 4 S, 3 D, 2
S, 1 D, and 9 H, 8 C, 7 H, 6 C, 5 H, 4 C, 3 H, 2 C, 1 H, with the 9 of
diamonds at the bottom of one pile and the 9 of hearts at the bottom of
the other. The point is to exchange the spades with the clubs, so that
the diamonds and clubs are still in numerical order in one pile and the
hearts and spades in the other. There are four vacant spaces in addition
to the two spaces occupied by the piles, and any card may be laid on a
space, but a card can only be laid on another of the next higher
value--an ace on a two, a two on a three, and so on. Patience is
required to discover the shortest way of doing this. When there are four
vacant spaces you can pile four cards in seven moves, with only three
spaces you can pile them in nine moves, and with two spaces you cannot
pile more than two cards. When you have a grasp of these and similar
facts you will be able to remove a number of cards bodily and write down