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.ArrayList;
import java.util.Scanner;

public class Parol1 {

  private static ArrayList<Integer> arl;

  public static void main(String[] args) {
    Scanner input = new Scanner(System.in);
    String str = input.next();
    
    arl = new ArrayList<Integer>();
    
    computeLPS(str);
    search(str, arl.get(str.length() - 1));
  }
  
  public static boolean search(String str, int len) {
    if(len == 0) {
      System.out.println("Just a legend");
      return false;
    }
    for (int i = 1; i < str.length() - 1; i++) {
      if (len == arl.get(i)) {
        System.out.println(str.substring(0, len));
        return true;
      }
    }
    if(len == arl.get(len-1)) {
      System.out.println("Just a legend");
      return false;
    }
    return search(str, len=arl.get(len-1));
  }
  
  static void computeLPS(String pat) {
        int len = 0;
        int i = 1;
        arl.add(0);  
 
        while (i < pat.length()) {
            if (pat.charAt(i) == pat.charAt(len)) {
                len++;
                arl.add(i, len);
                i++;
            }
            else {
                if (len != 0) {
                    len = arl.get(len-1);
                }
                else  {
                    arl.add(i, len);
                    i++;
                }
            }
        }
    }
}