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Message from discussion The mad veterinarian puzzle

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More options Sep 1 1998, 3:00 am
Newsgroups: rec.puzzles
From: Bob Harris <nitl...@mindspring.com>
Date: 1998/09/01
A mad veterinarian has created three animal transmogrifying machines.

Place a cat in the input bin of the first machine, press the button, and
... whirrr ... bing!  Open the output bins to find two dogs and five
mice.

The second machine can convert a dog into three cats and three mice, and
the third machine can convert a mouse into a cat and a dog.  Each
machine can also operate in reverse (e.g. if you've got three cats and
three mice, you can convert them into a dog).

You have one cat.

1) Can you convert it into seven mice?
2) Can you convert it into a pack of dogs, with no mice or cats left
over?