421.--A CHAIN PUZZLE.

To open and rejoin a link costs threepence. Therefore to join the nine

pieces into an endless chain would cost 2s. 3d., whereas a new chain

would cost 2s. 2d. But if we break up the piece of eight links, these

eight will join together the remaining eight pieces at a cost of 2s. But

there is a subtle way of even improving on this. Break up the two pieces

containing three and four links respectively, and these seven will join

together the remaining seven pieces at a cost of only 1s. 9d.

Amusements in Mathematics · 第 957 / 970 题