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 scan = new Scanner(System.in);
      String s = scan.next();
      int a = Integer.parseInt(s.substring(0,2));
       int b = Integer.parseInt(s.substring(2));
       if(a!=0 && a<=12) {
    	   if(b!=0 && b<=12) {
    		   System.out.println("AMBIGUOUS");
    	   }else {
    		   System.out.println("MMYY");
    	   }
       }else {
    	   if(b!=0 && b<=12) {
    		   System.out.println("YYMM");
    	   }else {
    		   System.out.println("NA");
    	   }
       }
	}
}