394.--PUSS IN THE CORNER.

No matter whether he plays first or second, the player A, who starts the

game at 55, must win. Assuming that B adopts the very best lines of play

in order to prolong as much as possible his existence, A, if he has

first move, can always on his 12th move capture B; and if he has the

second move, A can always on his 14th move make the capture. His point

is always to get diagonally in line with his opponent, and by going to

33, if he has first move, he prevents B getting diagonally in line with

himself. Here are two good games. The number in front of the hyphen is

always A's move; that after the hyphen is B's:--

33-8, 32-15, 31-22, 30-21, 29-14, 22-7, 15-6, 14-2, 7-3, 6-4, 11-, and A

must capture on his next (12th) move, -13, 54-20, 53-27, 52-34, 51-41,

50-34, 42-27, 35-20, 28-13, 21-6, 14-2, 7-3, 6-4, 11-, and A must

capture on his next (14th) move.

Amusements in Mathematics · 第 928 / 970 题