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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main(int argc, char const *argv[]) {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  string s;
  cin >> s;
  int n = s.length();
  int j = 0, i = 1;
  int prefix[n];
  prefix[0] = 0;
  int k = 0;
  while (i < n) {
    if (s[i] == s[j]) {
      prefix[i] = j + 1;
      i++;
      j++;
    } else {
      if (j != 0)
        j = prefix[j - 1];
      else
        prefix[i] = 0, i++;
    }
  }
  j = prefix[n - 1];
  for (int i = 0; i < n - 1; i++) k = max(k, prefix[i]);
  while (j > 0 && j > k) j = prefix[j - 1];
  if (j)
    cout << s.substr(0, j) << endl;
  else
    cout << "Just a legend\n";
  return 0;
}