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KöMaL 2023 C1753

    A long strip of paper is divided into squares. The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 are written in the first ten squares, then the same numbers are written in the next ten squares, too, and so on. There are exactly 2030 squares numbered in this way. A token is placed in square 11. In each move, the token is moved as many squares ahead as the number written in the square it is standing on. What is the number in the square where the token is when its next move would get out off the paper strip of length 20302030?

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