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 kmp_fail(p):
    m=len(p)
    fail=m*[0]
    k=0
    j=1
    while j<m:
        if p[j]==p[k]:
            fail[j]=k+1
            j+=1
            k+=1
        elif k>0:
            k=fail[k-1]
        else:
            j+=1
    return fail
s=input()
f=kmp_fail(s)
ans=f[-1]
if f.count(f[-1])>1 and ans!=0:
    print(s[0:ans])
elif f[ans-1]>0:
    print(s[0:f[ans-1]])
else:
    print('Just a legend')