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 PYTHON3):

Solution:
import sys
import math
import collections
import heapq
import decimal
input=sys.stdin.readline
s=input()
n=len(s)-1
l=[0]*n
k=0
i=1
while(i<n):
    if(s[i]==s[k]):
        k+=1
        l[i]=k
        i+=1
    else:
        if(k!=0):
            k=l[k-1]
        else:
            l[i]=0
            i+=1
if(l[n-1]==0):
    print("Just a legend")
else:
    k=-1
    for i in range(n-1):
        if(l[i]==l[n-1]):
            k=i
            break
    if(k==-1):
        if(l[l[n-1]-1]==0):
            print("Just a legend")
        else:
            print(s[:l[l[n-1]-1]])
    else:
        print(s[:l[k]])