1647: Power Strings

内存限制:64 MB 时间限制:1.000 S
评测方式:文本比较 命题人:
提交:28 解决:18

题目描述

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).

输入

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.

输出

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

样例输入 复制

abcd
aaaa
ababab
.

样例输出 复制

1
4
3

提示

This problem has huge input, use scanf instead of cin to avoid time limit exceed.