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Omni-MATH / You are given 16 pieces of paper numbered 16,15,…,2,1 in that order. You want to put them in the order 1,2,…,15,16 switching only two adjacent pieces of paper at a time. What is th…

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problem

You are given 16 pieces of paper numbered 16,15,…,2,116,15, \ldots, 2,1 in that order. You want to put them in the order 1,2,…,15,161,2, \ldots, 15,16 switching only two adjacent pieces of paper at a time. What is the minimum number of switches necessary?
Plain-text mathematical notation (without MathML)
You are given 16 pieces of paper numbered 16,15,…,2,1 in that order. You want to put them in the order 1,2,…,15,16 switching only two adjacent pieces of paper at a time. What is the minimum number of switches necessary?
Original LaTeX notation
You are given 16 pieces of paper numbered $16,15, \ldots, 2,1$ in that order. You want to put them in the order $1,2, \ldots, 15,16$ switching only two adjacent pieces of paper at a time. What is the minimum number of switches necessary?

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