Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

1905

Sample Output 1

YYMM

May XX19 is a valid date, but 19 is not valid as a month. Thus, this string is only valid in YYMM format.

Sample Input 2

0112

Sample Output 2

AMBIGUOUS

Both December XX01 and January XX12 are valid dates. Thus, this string is valid in both formats.

Sample Input 3

1700

Sample Output 3

NA

Neither 0 nor 17 is valid as a month. Thus, this string is valid in neither format.

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<bits/stdc++.h>
using namespace std;

const long long INF = 1000000000;

typedef long long ll;

#define writeln(n) cout<<n<<"\n"
#define rep(i,n) for(int i=0; i<(n); ++i)

typedef pair<int, int> P;
typedef pair<string, int> Psi;


int main() {
	cin.tie(0);
	ios::sync_with_stdio(false);

	int s; cin>>s;

	int a = s/100;
	int b = s%100;



	if(a >0 && a<=12 && b>0 && b<=12){
		writeln("AMBIGUOUS");
	}else if (a >=0  && b>0 && b<=12) {
		writeln("YYMM");
	}else if (a >0 && a<=12 && b>=0) {
		writeln("MMYY");
	}else {
		writeln("NA");
	}




}