# 3468. Igra

Mirko and Slavko are bored on their skiing trip, so they came up with an interesting game they could play. First, Mirko specifies a number $N$. Then Slavko writes $N$ letters he will use to create his word. Then Mirko writes a word consisting of $N$ letters. Slavko’s goal is to create a word using the letters he chose, but so that not a single letter in his word matches the letter at the same position in Mirko’s word. In order to make the game even more intense, Slavko must find the lexicographically smallest such word. This word will surely exist. Since Mirko and Slavko are still young, they know only 3 letters: a, b, and c, which greatly affects their programming skills.

### 输入

The first line of input contains the positive integer $N$ ($1 \le N \le 5000$).

The following line contains a string of $N$ lowercase letters ‘a’, ‘b’, or ‘c’, the letters Slavko chose.

The third line contains a string of $N$ lowercase letters ‘a’, ‘b’, or ‘c’, the word Mirko wrote.

In test cases worth 40 points in total, it will hold $1 \le N \le 20$.

### 输出

The first and only line of output must contain the word Slavko found.

### 样例

Input
3
abc
abc

Output
bca

Input
4
baba
baab

Output
abba

Input
5
aaabc
abcba

Output
baaac


13 人解决，20 已尝试。

15 份提交通过，共有 56 份提交。

8.7 EMB 奖励。