Power Strings

Description

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.

Sample Input

abcdaaaaababab.

Sample Output

14
3
 private static final int MAX_NUMBER = 100001;    private int[] next = new int[MAX_NUMBER];    private void getNext(char[] str, int len) {        int i = 0;        int j = -1;        next[0] = j;        while (i < len) {            if (j == -1 || str[i] == str[j]) {                ++i;                ++j;                next[i] = j;            } else {                j = next[j];            }        }    }    public void getResult() {        char[] str;        Scanner scan = new Scanner(System.in);        while (true) {            String s = scan.nextLine();            str = s.toCharArray();            if (str[0] == '.') {                break;            }            int len = str.length;            getNext(str, len);            if ((len % (len - next[len])) == 0) {                System.out.println(len / (len - next[len]));            } else {                System.out.println(1);            }        }    }