You have a digit sequence S of length 4. You are wondering which of the following formats S is in:

* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order



If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.

Constraints

* S is a digit sequence of length 4.

Input

Input is given from Standard Input in the following format:


S


Output

Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.

Examples

Input

1905


Output

YYMM


Input

0112


Output

AMBIGUOUS


Input

1700


Output

NA
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner scanner = new Scanner(System.in);
		String S = scanner.next();
		String t = S.substring(0, 2);
		String k = S.substring(2);
		int a = Integer.parseInt(t);
		int b = Integer.parseInt(k);
		String s;
		if ((1 <= a && a <= 12) && (1 <= b && b <= 12)) {
			s = "AMBIGUOUS";
		} else if ((1 <= a && a <= 12) && (13 <= b || b == 0)) {
			s = "MMYY";
		} else if ((a >= 13 || a == 0) && (1 <= b && b <= 12)) {
			s = "YYMM";
		} else {
			s = "NA";
		}
		System.out.println(s);
	}
}