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Problem 6, 12 days of Christmas

Brony Number 42

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In the song The Twelve Days Of Christmas, you receive a lot of gifts. But you also get multiple copies of a gift, on multiple days. For example, on day two you get 2 turtle doves and a partridge (with a bonus pear tree). This means that you have a total of 2 partridges so far, because you had 1 from day one. We can ask some questions. By day 12, how many of each item do you have? Which item do you have the most of? Make a plot of the cumulative number of items of each type that you get after 12 days.

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