Here is the solution:--

| {J 5) | G T8 3

5 | ( J } | G T8 3

5 | {G 3) | JT8

53 | ( G } | JT8

53 | {J T) | G 8

J 5 | (T 3} | G 8

J 5 | {G 8) | T 3

G 8 | (J 5} | T

G 8 | {J T) | 53

JT8 | ( G } | 53

JT8 | {G 3) | 5

G T8 3 | ( J } | 5

G T8 3 | {J 5) |

G, J, and T stand for Giles, Jasper, and Timothy; and 8, 5, 3, for £800,

£500, and £300 respectively. The two side columns represent the left

bank and the right bank, and the middle column the river. Thirteen

crossings are necessary, and each line shows the position when the boat

is in mid-stream during a crossing, the point of the bracket indicating

the direction.

It will be found that not only is no person left alone on the land or in

the boat with more than his share of the spoil, but that also no two

persons are left with more than their joint shares, though this last

point was not insisted upon in the conditions.

Amusements in Mathematics · 第 904 / 970 题