32.--_The Game of Bandy-Ball._

Sir Hugh explained, in answer to this puzzle, that as the nine holes were

300, 250, 200, 325, 275, 350, 225, 375, and 400 yards apart, if a man

could always strike the ball in a perfectly straight line and send it at

will a distance of either 125 yards or 100 yards, he might go round the

whole course in 26 strokes. This is clearly correct, for if we call the

125 stroke the "drive" and the 100 stroke the "approach," he could play

as follows:--The first hole could be reached in 3 approaches, the second

in 2 drives, the third in 2 approaches, the fourth in 2 approaches and 1

drive, the fifth in 3 drives and 1 backward approach, the sixth in 2

drives and 1 approach, the seventh in 1 drive and 1 approach, the eighth

in 3 drives, and the ninth hole in 4 approaches. There are thus 26

strokes in all, and the feat cannot be performed in fewer.

The Canterbury Puzzles, and Other Curious Problems · 第 188 / 286 题