THE WASSAIL BOWL.—solution
The division of the twelve pints of ale can be made in eleven manipulations, as below. The six columns show at a glance the quantity of ale in the barrel, the five-pint jug, the three-pint jug, and the tramps X, Y, and Z respectively after each manipulation.
| Barrel. | 5-pint. | 3-pint. | X. | Y. | Z. | |||||
| 7 | .. | 5 | .. | 0 | .. | 0 | .. | 0 | .. | 0 |
| 7 | .. | 2 | .. | 3 | .. | 0 | .. | 0 | .. | 0 |
| 7 | .. | 0 | .. | 3 | .. | 2 | .. | 0 | .. | 0 |
| 7 | .. | 3 | .. | 0 | .. | 2 | .. | 0 | .. | 0 |
| 4 | .. | 3 | .. | 3 | .. | 2 | .. | 0 | .. | 0 |
| 0 | .. | 3 | .. | 3 | .. | 2 | .. | 4 | .. | 0 |
| 0 | .. | 5 | .. | 1 | .. | 2 | .. | 4 | .. | 0 |
| 0 | .. | 5 | .. | 0 | .. | 2 | .. | 4 | .. | 1 |
| 0 | .. | 2 | .. | 3 | .. | 2 | .. | 4 | .. | 1 |
| 0 | .. | 0 | .. | 3 | .. | 4 | .. | 4 | .. | 1 |
| 0 | .. | 0 | .. | 0 | .. | 4 | .. | 4 | .. | 4 |
And each man has received his four pints of ale.
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