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

abcd
aaaa
ababab
.

Sample Output

1
4

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);
            }
        }
    }