You are given an integer a that consists of n digits. You are also given a sequence of digits s of length m. The digit in position j (1≤j≤m) of sequence s means that you can choose an arbitrary position i (1≤i≤n) in a and replace the digit in the chosen position i with sj. Each element in the sequence s can participate in no more than one replacing operation.
Your task is to perform such sequence of replacements, that the given number a gets maximum value. You are allowed to use not all elements from s.
The first line contains positive integer a. Its length n is positive and doesn't exceed 105. The second line contains sequence of digits s. Its length m is positive and doesn't exceed 105. The digits in the sequence s are written consecutively without any separators.
The given number a doesn't contain leading zeroes.
Print the maximum value that can be obtained from a after a series of replacements. You are allowed to use not all elements from s. The printed number shouldn't contain any leading zeroes.
1024
010
1124
987
1234567
987