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Thread: Arab mathematical olympiad

  1. #1
    Super Member dhiab's Avatar
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    Arab mathematical olympiad

    Given up a circle marked with 1440 real numbers around, such that for every three clockwise successive terms of them, x, y and z, x = |y -z|, find the numbers if we suppose that their sum equals 960.
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  2. #2
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    Re: Arab mathematical olympiad

    $\displaystyle \{1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0, 1,1,0,1,1,0,\text{...}\text{...}\}$
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