Magic Worms. A magic worm is an adult if it is one foot long; if it is less that one foot long then it is a baby. Adult magic worms do not grow; a baby magic worms grows at the rate of one foot per day until it becomes an adult. If you cut a baby magic worm into two pieces each piece dies, but if you cut an adult magic worm into two pieces, you get two live baby magic worms. Starting with one adult magic worm, how many adult magic worms can you have after one day? after 2 days? Do you need to use phrases like infinitely many or arbitrarily many to answer these questions?
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