"So let's say today is my day off. If yesterday wasn't also a day off, then I'm off again tomorrow. If, on the other hand, I was off yesterday, then tomorrow I'll have to work.
"Say I worked today. Bummer. If I didn't work two days before today, I'll have to head to work tomorrow. But if I did work two days ago, I'm off tomorrow. Yeow!"
Assuming a 365-day year, and ignoring weekends and holidays, use what Sammy said to figure how many days he works in a year.
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