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:
def z_func(s):
    l = 0
    r = 0
    n = len(s)
    z = [0]*n
    z[0] = 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 = i
            r = i+z[i]-1
    return z

string = input()
n = len(string)
z = z_func(string)
l = 0

for i in range(n-1,0,-1):
    if z[i]==n-i:
        for j in range(1,i):
            if z[j]>=z[i]:
                l = z[i]
                break

if l>0:
    print(string[0:l])
else:
    print('Just a legend')