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, prefix):
	#prefix global
	prefix[0] = 0
	m = len(p)
	j = 0
	i = 1
	while (i < m):
		if (p[i] == p[j]):
			j+= 1
			prefix[i] = j
			i+= 1
		else:
			if (j != 0):
				j = prefix[j - 1]
			else:
				prefix[i] = 0
				i += 1

def KMPCheck(len, prefix):
    curLeng = prefix[len - 1]
    res = 0
    
    while curLeng > 0:
        #print(curLeng)
        for i in range(len - 2, 0, -1):
            if prefix[i] >= curLeng:
                res = max(res, curLeng)
                break
        if res > 0:return res
        else:curLeng = prefix[curLeng - 1]
    return 0

t = input()
n = len(t)
prefix = [0] * (n)
KMPpreprocess(t, prefix)
x = KMPCheck(n, prefix)
if x == 0:
    print('Just a legend')
else: print(t[:x])