#10298Power 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).

Input

Each test case is a line of input representing s, a string of printable characters. 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.

Output

For each s you should print the largest n such that s = a^n for some string a.

abcd
aaaa
ababab
.

1
4
3