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<iostream>
#include<climits>
#include<numeric>
#include<algorithm>
#include <sstream>
#include<cstring>
#include<cmath>
#include<iterator>
#include<utility>
#include<array>
#include<vector>
#include<deque>
#include<queue>
#include<stack>
#include<list>
#include<forward_list>
#include<set>
#include<unordered_set>
#include<map>
#include<unordered_map>
#define ll long long
#define ull unsigned long long
#define vi vector<int>
#define vlli vector<long long int>
#define vvi vector<vector<int>>
#define vpii vector<pair<int,int>>
#define vs vector<string>
#define pa(a) cout<<a<<endl;
#define lin1(x) ll int x; x = scan();
#define lin2(x,y) ll int x, y; x = scan(), y = scan();
#define lin3(x,y,z) ll int x, y, z; x = scan(), y = scan(), z = scan();
#define pb(x) push_back(x)
#define makep(x,y) make_pair(x,y)
#define mx(a,b) (a)>(b)?(a):(b)
#define mn(a,b) (a)<(b)?(a):(b)
#define fori(s,e) for(i=s;i<=e;i++)
#define forj(s,e) for(j=s;j<=e;j++)
#define fork(s,e) for(k=s;k<=e;k++)
#define rep(i,s,e) for(int i=s;i<=e;i++)
#define brep(i,s,e) for(int i=s;i>=e;i--)
#define all(x) x.begin(),x.end()
#define mem(x,y) memset(x,y,sizeof(x));
#define bits1(x) __builtin_popcount(x)
#define pi 3.14159265358979323846264338327950
#define MOD7 1000000007
#define MOD9 1000000009
#define fast std::ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL)
using namespace std;

int main()
{
#ifdef RAHUL
    freopen("input.txt","r",stdin);
#endif
ll t;
cin>>t;
ll a=t%100;
ll b=t/100;
//5
//19
if(1<=a and a<=12){
    if(1<=b and b<=12){
        cout<<"AMBIGUOUS"<<endl;
    }
    else{
        cout<<"YYMM"<<endl;
    }
}
else{
    if(1<=b and b<=12){
        cout<<"MMYY"<<endl;
    }
    else{
        cout<<"NA"<<endl;
    }
}
return 0;   

}