Print all strings of length $n$ consisting of three characters `A`, `B`, and `C`, where no two adjacent characters are the same.
For example, the string `ABBC` is not valid because it contains two adjacent `B` characters.
### Input
- One line containing an integer $n$.
### Output
- Print all valid strings satisfying the condition. The order of printing can be arbitrary.
### Constraints
- $1 \le n \le 10$.
### Sample
Input:
```
2
```
Output:
```
AB
BA
BC
CB
AC
CA
```
