Problem D: Power Strings
Given two strings a and b we define a*b to be
their concatenation. For example, if a = "abc" and b = "def"
then a*b = "abcdef". If we think of concatenation as multiplication,
exponentiation by a non-negative integer is defined in the normal way:
a^0 = "" (the empty string) and a^(n+1) = a*(a^n).
Each test case is a line of input
representing s, a string of printable characters.
For each s you should print the largest n such that
s = a^n for some string a. The length of s will
be at least 1 and
will not exceed 1 million characters. A line containing a period follows the
last test case.
Sample Input
abcd
aaaa
ababab
.
Output for Sample Input
1
4
3