CF1213E.Two Small Strings

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题目描述

You are given two strings $s$ and $t$ both of length $2$ and both consisting only of characters 'a', 'b' and 'c'.

Possible examples of strings $s$ and $t$ : "ab", "ca", "bb".

You have to find a string $res$ consisting of $3n$ characters, $n$ characters should be 'a', $n$ characters should be 'b' and $n$ characters should be 'c' and $s$ and $t$ should not occur in $res$ as substrings.

A substring of a string is a contiguous subsequence of that string. So, the strings "ab", "ac" and "cc" are substrings of the string "abacc", but the strings "bc", "aa" and "cb" are not substrings of the string "abacc".

If there are multiple answers, you can print any of them.

输入格式

The first line of the input contains one integer $n$ ( $1 \le n \le 10^5$ ) — the number of characters 'a', 'b' and 'c' in the resulting string.

The second line of the input contains one string $s$ of length $2$ consisting of characters 'a', 'b' and 'c'.

The third line of the input contains one string $t$ of length $2$ consisting of characters 'a', 'b' and 'c'.

输出格式

If it is impossible to find the suitable string, print "NO" on the first line.

Otherwise print "YES" on the first line and string $res$ on the second line. $res$ should consist of $3n$ characters, $n$ characters should be 'a', $n$ characters should be 'b' and $n$ characters should be 'c' and $s$ and $t$ should not occur in $res$ as substrings.

If there are multiple answers, you can print any of them.

输入输出样例

输入#1
```
2
ab
bc
```
输出#1
```
YES
acbbac
```
输入#2
```
3
aa
bc
```
输出#2
```
YES
cacbacbab
```
输入#3
```
1
cb
ac
```
输出#3
```
YES
abc
```

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