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A cyclic number is a positive integer n digits in length which, when multiplied by any integer from 1 to n, yields a "cycle" of the digits of the original number. That is, if you consider the number after the last digit to "wrap around" back to the first digit, the sequence of digits in both numbers will be the same, though they may start at different positions.
For example, the number 142857 is cyclic, as illustrated by the following table:
Write a program which will determine whether or not numbers are cyclic.
The input is a list of integers from 2 to 1000 digits in length (preceding zeroes are legal).
In the output, display each integer and indicate whether or not it is cyclic.
142857 142856 142858 01 0588235294117647
142857 is cyclic 142856 is not cyclic 142858 is not cyclic 01 is not cyclic 0588235294117647 is cyclic