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>

#define int int64_t
#define rep(i,a,n) for(int i=(a); i<(n); ++i)
#define gsort(x,n) sort((x),(x)+(n),greater<int>())
#define all(x) (x).begin(), (x).end()
#define re(s) reverse((s).begin(),(s).end())
#define ll long long
#define setout(n,x) setw(n) << setfill(x)
#define Fixed fixed << setprecision(10)
const int INF = 0x3f3f3f3f;
const int LINF = 0x3f3f3f3f3f3f3fLL;
const int mod = 1000000007;
using namespace std;

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

    int a,b,c;
    cin>>a;
    b = a/100;
    c = a%100;

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