# Solution

(related to Problem: 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 the first move, can always on his $12$th move capture $B;$ and if he has the second move, $A$ can always on his $14$th move make the capture. His point is always to get diagonally in line with his opponent, and by going to $33,$ if he has the 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 ($12$th) 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 ($14$th) move.

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### References

#### Project Gutenberg

1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

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