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:
#!/usr/bin/env python3

#ref: book_DG!

def preZ(s):    #preprocessing by Z algo
    n    = len(s)
    z    = [0]*n
    z[0] = n
    r    = 0
    if n==1: return z
    while r+1<n and s[r]==s[r+1]: r+=1
    z[1] = r #note z=length! not 0-indexed
    l    = 1 if r>0 else 0
    for k in range(2,n):
        bl = r+1-k  #|\beta|
        gl = z[k-l] #|\gamma|
        if gl<bl:
            z[k]=z[k-l] #Case2a
        else:
            j=max(0,r-k+1)  #Case1 & 2b
            while k+j<n and s[j]==s[k+j]: j+=1
            z[k]=j
            l,r =k,k+j-1
    return z

def f(s):
    n  = len(s)
    if n==1: return "Just a legend" 
    z  = preZ(s)
    maxm = max(preZ(s[:-1])[1:],default=0)
    ans  = max([z[i] for i in range(n) if z[i]<=maxm and i+z[i]==n],default=0)
    if ans==0: return "Just a legend"
    return s[:ans]

print(f(input()))