The preferred way to generate user login in Polygon is to concatenate a prefix of the user's first name and a prefix of their last name, in that order. Each prefix must be non-empty, and any of the prefixes can be the full name. Typically there are multiple possible logins for each person.

You are given the first and the last name of a user. Return the alphabetically earliest login they can get (regardless of other potential Polygon users).

As a reminder, a prefix of a string s is its substring which occurs at the beginning of s: "a", "ab", "abc" etc. are prefixes of string "{abcdef}" but "b" and 'bc" are not. A string a is alphabetically earlier than a string b, if a is a prefix of b, or a and b coincide up to some position, and then a has a letter that is alphabetically earlier than the corresponding letter in b: "a" and "ab" are alphabetically earlier than "ac" but "b" and "ba" are alphabetically later than "ac".

Input

The input consists of a single line containing two space-separated strings: the first and the last names. Each character of each string is a lowercase English letter. The length of each string is between 1 and 10, inclusive. 

Output

Output a single string — alphabetically earliest possible login formed from these names. The output should be given in lowercase as well.

Examples

Input

harry potter


Output

hap


Input

tom riddle


Output

tomr
#include <bits/stdc++.h>
using namespace std;
template <typename T>
std::string NumberToString(T Number) {
  std::ostringstream ss;
  ss << Number;
  return ss.str();
}
long long StringToNumber(string ch) {
  stringstream ss(ch);
  long long f;
  ss >> f;
  return f;
}
long long power(int x, int y) {
  if (y == 0) return 1;
  long long d = power(x, y >> 1);
  if ((y & 1) == 0)
    return (d * d);
  else
    return (x * d * d);
}
void read(int &x) { scanf("%d", &x); }
void read(int64_t &x) { scanf("%lld", &x); }
void read(double &x) { scanf("%lf", &x); }
void read(char &x) { scanf(" %c", &x); }
void read(char *x) { scanf("%s", x); }
void W(const int &x) { printf("%d", x); }
void W(const int64_t &x) { printf("%lld", x); }
void W(const double &x) { printf("%.16f", x); }
void W(const char &x) { putchar(x); }
void W(char *x) { printf("%s", x); }
void espace() { printf(" "); }
int main() {
  string a, b;
  cin >> a >> b;
  cout << a[0];
  for (int i = 1; a[i]; i++) {
    if (a[i] >= b[0]) break;
    cout << a[i];
  }
  cout << b[0];
  return 0;
}
