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