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 <iostream>
#include <string>
using namespace std;

int main() {
	string S;
	cin >> S;
	int F = stoi(S.substr(0, 2));
	int B = stoi(S.substr(2, 2));
	string Answers[4] = { "YYMM", "NA", "AMBIGUOUS", "MMYY" };
	int ans = 2 * (F <= 12 && F > 0) + (B > 12 || B == 0);
	cout << Answers[ans] << endl;
}