Problem: Marina loves strings of the same length and Vasya loves when there is a third string, different from them in exactly t characters. Help Vasya find at least one such string.

More formally, you are given two strings s1, s2 of length n and number t. Let's denote as f(a, b) the number of characters in which strings a and b are different. Then your task will be to find any string s3 of length n, such that f(s1, s3) = f(s2, s3) = t. If there is no such string, print  - 1.

Input

The first line contains two integers n and t (1 ≤ n ≤ 105, 0 ≤ t ≤ n).

The second line contains string s1 of length n, consisting of lowercase English letters.

The third line contain string s2 of length n, consisting of lowercase English letters.

Output

Print a string of length n, differing from string s1 and from s2 in exactly t characters. Your string should consist only from lowercase English letters. If such string doesn't exist, print -1.

Examples

Input

3 2
abc
xyc


Output

ayd

Input

1 0
c
b


Output

-1

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main() {
  int n, t;
  cin >> n >> t;
  string s1, s2, s3;
  cin >> s1 >> s2;
  s3 = s1;
  int t1 = t, t2 = t;
  for (int i = 0; i < n; i++) {
    if (s1[i] != s2[i]) {
      s3[i] = s2[i];
      t1--;
    }
    if (t1 == 0) {
      break;
    }
  }
  for (int i = 0; i < n; i++) {
    if (s3[i] != s2[i]) {
      t2--;
    }
  }
  for (int i = 0; i < n; i++) {
    if (t2 == 0) {
      break;
    }
    if (s3[i] == s2[i] && s3[i] != s1[i]) {
      for (int j = 0; j < 26; j++) {
        if ('a' + j != s2[i] && 'a' + j != s1[i]) {
          s3[i] = 'a' + j;
          t2--;
          break;
        }
      }
    }
  }
  for (int i = 0; i < n; i++) {
    if (t1 == 0) {
      break;
    }
    if (s3[i] == s1[i] && s3[i] == s2[i]) {
      for (int j = 0; j < 26; j++) {
        if ('a' + j != s2[i] && 'a' + j != s1[i]) {
          s3[i] = 'a' + j;
          t1--;
          t2--;
          break;
        }
      }
    }
  }
  if (t1 != t2 || t1 != 0 || t2 != 0) {
    cout << -1 << endl;
    return 0;
  }
  cout << s3 << endl;
  return 0;
}