| Answer
The smallest number
of biscuits must have been 1021,
from
which it is
evident that they were of that miniature description that finds favour
in
the nursery.
The general
solution is that for n
men
the number must be m
(nn+1)
- (n
- 1), where m
is any
integer.
Each man will
receive m
(n
- 1)n
- 1 biscuits at the final division, though in
the case of two men, when m
= 1, the final
distribution only benefits
the dog.
Of course, in every
case each man steals an nth
of the number
of biscuits, after giving the odd one to the dog
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