Ptice

Adrian, Bruno and Goran wanted to join the bird lovers’ club. However, they did not know that all applicants must pass an entrance exam. The exam consists of $N$ questions, each with three possible answers: A, B and C.

Unfortunately, they couldn’t tell a bird from a whale so they are trying to guess the correct answers. Each of the three boys has a theory of what set of answers will work best:

Adrian claims that the best sequence is: A, B, C, A, B, C, A, B, C, A, B, C ...

Bruno is convinced that this is better: B, A, B, C, B, A, B, C, B, A, B, C ...

Goran laughs at them and will use this sequence: C, C, A, A, B, B, C, C, A, A, B, B ...

Write a program that, given the correct answers to the exam, determines who of the three was right – whose sequence contains the most correct answers.

Input

The first line contains an integer $N$ ($1 \le N \le 100$), the number of questions on the exam.

The second line contains a string of $N$ letters ‘A’, ‘B’ and ‘C’. These are, in order, the correct answers to the questions in the exam.

Output

On the first line, output $M$, the largest number of correct answers one of the three boys gets.

After that, output the names of the boys (in alphabetical order) whose sequences result in $M$ correct answers.

Sample Input 1 Sample Output 1
5
BAACC
3
Bruno
Sample Input 2 Sample Output 2
9
AAAABBBBB
4
Adrian
Bruno
Goran