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, math
readline = sys.stdin.readline
s = readline().split()[0]
def z_Func(s):
    n = len(s)
    l,r = 0,0
    z = [0 for _ in range(n)]
    for i in range(1,n):
        if i <= r:
            z[i] = min(r - i + 1,z[i - l])
        while i + z[i] < n and s[z[i]] == s[i + z[i]]:
            z[i] += 1
        if i + z[i] - 1 > r:
            l,r = i,i + z[i] - 1
    return z

tp = z_Func(s)
j = 0
m = 0
for i in range(len(tp)):
    if tp[i] == len(tp) - i and tp[i] <= m:
        j = i
        break
    m = max(m,tp[i])
if j:
    print(s[:len(tp) - j])
else:
    print('Just a legend')