The Homeless in the Park

A homeless man is walking around the park and notices that he has no cigarettes. And because he is a homeless person, he does not have any money, either. But what for do we have our minds? Our homeless starts to collect cigarette ends. He has cigarette paper in his pocket, and basing on his experience, he can make one cigarette out of seven cigarette ends. After a while he manages to find 49 cigarette ends. The homeless man has a habit of smoking exactly one cigarette every 3 quarters. So there is a question: For how long will the collected cigarettes last?

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