Petya recieved a gift of a string s with length up to 105 characters for his birthday. He took two more empty strings t and u and decided to play a game. This game has two possible moves:

  * Extract the first character of s and append t with this character. 
  * Extract the last character of t and append u with this character. 



Petya wants to get strings s and t empty and string u lexicographically minimal.

You should write a program that will help Petya win the game.

Input

First line contains non-empty string s (1 ≤ |s| ≤ 105), consisting of lowercase English letters.

Output

Print resulting string u.

Examples

Input

cab


Output

abc


Input

acdb


Output

abdc
#include <bits/stdc++.h>
using namespace std;
const int dx[8] = {1, 0, -1, 0, 1, -1, -1, 1};
const int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1};
const int INF = 1000000000;
const long long LINF = 1000000000000000000;
const long long MOD = 1000000007;
const double PI = acos(-1.0);
const double EPS = 1e-10;
template <class T>
inline bool chmax(T& a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <class T>
inline bool chmin(T& a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <class T>
inline void add(T& a, T b) {
  a = ((a + b) % MOD + MOD) % MOD;
};
int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);
  string s;
  cin >> s;
  int n = s.size();
  vector<char> miChar(n + 1, 'z');
  for (int i = n - 1; i >= 0; i--) {
    miChar[i] = min(miChar[i + 1], s[i]);
  }
  stack<char> st;
  int cur = 0;
  while (cur < n || !st.empty()) {
    if (!st.empty() && st.top() <= miChar[cur]) {
      cout << st.top();
      st.pop();
    } else
      st.push(s[cur]), cur++;
  }
  cout << endl;
}
