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++ (GCC 9.2.1) (judge verdict: Wrong Answer)

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

#ifdef _DEBUG
    #include "/home/v-o_o-v/deb.h"
    #define deb(x...)cerr << "[" << #x << "] = [";_print(x);
#else
    #define deb(x...)
#endif

#define fi first
#define se second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    
    string s;
    cin >> s;
    int x = stoi(s.substr(0, 2)), y = stoi(s.substr(2));
    if((x > 12 && y > 12) || (x == 0 && y == 0))puts("NA");
    else if((x > 12 && y == 0) || (x == 0 && y > 12))puts("NA");
    else if(x <= 12 && y <= 12 && x > 0 && y >= 0)puts("AMBIGUOUS");
    else if(x <= 12)puts("MMYY");
    else puts("YYMM");
    return 0;
}
// Write Here