olymmath

HMMT November 2008 U15

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A cat is going up a stairwell with ten stairs. However, instead of walking up the stairs one at a time, the cat jumps, going either two or three stairs up at each step (though if necessary, it will just walk the last step). How many different ways can the cat go from the bottom to the top?

Dataset text NuminaMath olympiads. Quoted with source.

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12

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