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)

#define _CRT_SECURE_NO_WARNINGS

#include <stdio.h>
#include <string.h>
#include <algorithm>
#include <set>
#include <map>
#include <vector>
#include <math.h>
#include <cmath>
#include <queue>
#include <stack>
#include <list>
#include <functional>
#include <numeric>
#include <iostream>
#include <string>
#include <time.h>

using namespace std;
typedef long long ll;
#define rep(i, n) for (ll i = 0; i < (n); ++i)

char S[64];

int main() {

	scanf("%s", S);

	char A[8], B[8];
	A[0] = S[0];
	A[1] = S[1];
	A[2] = 0;
	B[0] = S[2];
	B[1] = S[3];
	B[2] = 0;

	int a = atoi(A);
	int b = atoi(B);

	if (a >= 1 && a <= 12) {
		if (b >= 1 && b <= 12) {
			printf("AMBIGUOUS\n");
		}
		else {
			printf("MMYY\n");
		}
	}
	else {	
		if (b >= 1 && b <= 12) {
			printf("YYMM\n");
		}
		else {
			printf("NA\n");
		}
	}

	return 0;
}