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
#include<bits/stdc++.h>
using namespace std;
int main()
{
 
    int sw;
    cin>>sw;
    int y = sw/100;
    int m = sw%100;
    if((m>=1 && m<=12) && (y>=1 && y<=12))printf("AMBIGUOUS\n");
    else if(y>=1 && y<=12)printf("MMYY\n");
    else if(m>=1 && m<=12)printf("YYMM\n");
    else printf("NA\n");
 
}