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 password {
	static int[] index;
	public static void main(String[] args) {
		Scanner scan = new Scanner(System.in);

		String match = scan.nextLine();
		int[] array= new int[match.length()];
		index = new int[match.length()];
		prefix(match,array);
		int length = array[match.length()-1];
		if(length>0 && index[length]<2)
			length = array[length-1];
		if(length==0)
			System.out.println("Just a legend");
		else
			System.out.println(match.substring(0,length));
		scan.close();
	}

	public static boolean KMP(String s,String m,int[] array){
		int i=0;
		int j=0;
		while(i<s.length() && j<m.length())
		{
			if(s.charAt(i)==m.charAt(j))
			{
				i++;
				j++;
			}
			else
			{
				if(j!=0)
					j = array[j-1];
				else
					i++;
			}
			if(j==m.length())
				return true;
		}
		return false;
	}

	public static void prefix(String m,int[] array)
	{
		array[0] = 0;
		int id = 0;
		for(int i=1;i<m.length();)
		{
			if(m.charAt(i)==m.charAt(id))
			{
				array[i] = id+1;
				id++;
				i++;
				index[id]++;
			}
			else
			{
				if(id!=0)
					id = array[id-1];
				else
				{
					array[i] = 0;
					i++;
					index[0]++;
				}
			}
		}
	}
}