3.--_The Miller's Puzzle._

The way to arrange the sacks of flour is as follows:--2, 78, 156, 39, 4.

Here each pair when multiplied by its single neighbour makes the number

in the middle, and only five of the sacks need be moved. There are just

three other ways in which they might have been arranged (4, 39, 156, 78,

2; or 3, 58, 174, 29, 6; or 6, 29, 174, 58, 3), but they all require the

moving of seven sacks.

[Illustration]

[Illustration]

The Canterbury Puzzles, and Other Curious Problems · 第 154 / 286 题