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.*;
public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		String[] items = {"01","02","03","04","05","06","07","08","09","10","11","12"};
		List<String> l = Arrays.asList(items);
		String s = sc.nextLine();
		String mae = s.substring(0, 2);
		String ushiro = s.substring(2,4);
		String ans = null;
		if(l.indexOf(mae) >=0  && l.indexOf(ushiro) >=0) {
			ans="AMBIGUOUS";
		}else if(l.indexOf(mae)>=0) {
			ans="MMYY";
		}else if(l.indexOf(ushiro)>=0) {
			ans="YYMM";
		}else {
			ans ="NA";
		}
		System.out.println(ans);
	}
}