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pku Campus 2008 ( POJ Founder Monthly Contest – 2008.05.10); Competition of Attacking Network Trust
北大08校賽邀請校外隊伍以學校名義參賽，每校1~2支隊伍。請用Email向本站管理員提供競賽負責人姓名和通信地址以便傳送邀請函。
為加快我們的處理過程，請校外隊伍先行按照這裡的說明向組委會提交信息，無須等待邀請函。Language:DefaultRound and Round We Go
Time Limit: 1000MS Memory Limit: 10000K
Total Submissions: 3800 Accepted: 1692
Description
A cyclic number is an 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:
142857 *1 = 142857
142857 *2 = 285714
142857 *3 = 428571
142857 *4 = 571428
142857 *5 = 714285
142857 *6 = 857142
Input
Write a program which will determine whether or not numbers are cyclic. The input file is a list of integers from 2 to 60 digits in length. (Note that preceding zeros should not be removed, they are considered part of the number and count in determining n. Thus, "01"is a two-digit number, distinct from "1" which is a one-digit number.)
Output
For each input integer, write a line in the output indicating whether or not it is cyclic.
Sample Input
142857
142856
142858
01
0588235294117647
Sample Output
142857 is cyclic
142856 is not cyclic
142858 is not cyclic
01 is not cyclic
0588235294117647 is cyclic
Source
Greater New York 2001
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