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 KMPPreprocess(p):
    m = len(p)
    kmp = [0] * m
    i = 1
    j = 0
    while i < m:
        if p[i] == p[j]:
            j += 1
            kmp[i] = j
            i += 1
        else:
            if j == 0:
                kmp[i] = j
                i += 1
            else:
                j = kmp[j - 1]
    return kmp

s = input()
kmp = KMPPreprocess(s)
res = 0

for i in range(1, len(s) - 1):
    if kmp[i] != 0:
        if kmp[i] == kmp[-1]:
            res = kmp[i]
            break
if res == 0 and kmp[-1] != 0 and kmp[kmp[-1] - 1] != 0:
    res = kmp[kmp[-1] - 1]

print(s[:res] if res > 0 else 'Just a legend')