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2019 SAIMC keystage2-EMIC team Question 3

xIMC · 2019 SAIMC keystage2-EMIC team

Question 3

There are nine cards that are arranged in a sequence $7,8,9,4,5,6,1,2,3$ in this order as shown below. On each turn, we may remove any number of consecutive cards, reverse their order and put them back anywhere in the row. After three turns the cards are in the sequence $1,2,3,4,5,6,7,8,9$. What are the three turns? Show your steps.

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