Problem: Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them.

A little later they found a string s, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring t of the string s.

Prefix supposed that the substring t is the beginning of the string s; Suffix supposed that the substring t should be the end of the string s; and Obelix supposed that t should be located somewhere inside the string s, that is, t is neither its beginning, nor its end.

Asterix chose the substring t so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring t aloud, the temple doors opened. 

You know the string s. Find the substring t or determine that such substring does not exist and all that's been written above is just a nice legend.

Input

You are given the string s whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters.

Output

Print the string t. If a suitable t string does not exist, then print "Just a legend" without the quotes.

Examples

Input

fixprefixsuffix


Output

fix

Input

abcdabc


Output

Just a legend

Solution (in JAVA):

Solution:
import java.util.Scanner;

public class Passwordd {

    static int[] cnt;

    public static void main(String[] args) {

        Scanner sc = new Scanner(System.in);

        String match = sc.nextLine();

        int[] arr = new int[match.length()];

        cnt = new int[match.length()];

        prefix(match,arr);

        int len = arr[match.length()-1];

        if(len>0 && cnt[len]<2)

            len = arr[len-1];

        if(len==0)

            System.out.println("Just a legend");

        else

            System.out.println(match.substring(0,len));
            sc.close();

}

    public static boolean KMP(String str,String match,int[] arr){

       int i=0;

       int j=0;

        while(i<str.length() && j<match.length()){

            if(str.charAt(i)==match.charAt(j)){

                i++;
                j++;

            }

            else{

                if(j!=0)

                    j = arr[j-1];

                else

                    i++;

            }

            if(j==match.length())

                return true;

        }

        return false;

    }

    public static void prefix(String match,int[] arr){

        arr[0] = 0;

        int index = 0;

        for(int i=1;i<match.length();){

            if(match.charAt(i)==match.charAt(index))

            {

                arr[i] = index+1;

                index++;

                i++;

                cnt[index]++;

            }

            else{

                if(index!=0)

                    index = arr[index-1];

                else{

                    arr[i] = 0;

                    i++;

                    cnt[0]++;

                }

            }

        }

    }

}