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Periwinkus the Magician has a pet monster named Mugwhump. Early one Sunday Mugwhump broke into Periwinkus' potion cabinet and drank an entire vial of growth potion. The growth potion takes a while to start working, but by Monday Mugwhump had grown half again as tall as he was. By Tuesday he had grown one-third taller than he was on Monday. In general, on the nth day after taking the potion he was one-nth taller than he was on the (n - 1)th day.
Ordinarily, Periwinkus would immediately have given Mugwhump the corresponding shrink potion as an antidote, but he didn't have any on hand, and unfortunately it takes 98 days to brew a new batch. However, Periwinkus knew he had no other choice, and began brewing a new batch of shrink potion right away.
Today's challenge: How much bigger was Mugwhump after 98 days than he was when he drank the potion?


Solution to yesterday's challenge

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