354.--AN AMAZING DILEMMA.

In a game of chess between Mr. Black and Mr. White, Black was in

difficulties, and as usual was obliged to catch a train. So he proposed

that White should complete the game in his absence on condition that no

moves whatever should be made for Black, but only with the White pieces.

Mr. White accepted, but to his dismay found it utterly impossible to win

the game under such conditions. Try as he would, he could not checkmate

his opponent. On which square did Mr. Black leave his king? The other

pieces are in their proper positions in the diagram. White may leave

Black in check as often as he likes, for it makes no difference, as he

can never arrive at a checkmate position.

[Illustration]

Amusements in Mathematics · 第 414 / 970 题