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The Cigar Butts
A hobo walks the streets looking for cigar butts.
He uses the tobacco in the butts and rerolls it to make a whole cigar.
He needs 5 cigar butts to make a whole cigar.
One lucky day, he finds 125 cigar butts.
How many cigars can he make from these butts?
He can make a total of 31 cigars from the 125 butts he found.
He can make 25 from the first 125 butts.
Then after he smokes those, he can make 5 more cigars from his new 25 butts.
Finally, he now makes one last cigar from the final 5 he smoked.