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Find the sequence of perfect in- and out-shuffles that will move the top card of a...

Find the sequence of perfect in- and out-shuffles that will move the top card of a 52-card deck to position 18. (Recall that positions are indexed beginning at 0.) Give your answer as a sequence like "IOII" (without the quotes), which would stand for "in, out, in, in." Can someone show me how to calculate this and put it in the correct way?

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