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: Wrong Answer)

#include <algorithm>
#include <cmath>
#include <cstdio>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_set>
#include <vector>

using namespace std;

#define ll long long
#define P pair<int, int>
#define FOR(i, N) for (int i = 0; i < (int)N; i++)
#define FORIN(i, a, b) for (int i = a; i < (int)b; i++)
#define ALL(x) (x).begin(), (x).end()
#define LAST(x) (x)[(x).size() - 1]
#define GI(name) \
  int(name);     \
  scanf("%d", &(name))
#define GI2(name1, name2) \
  int(name1), (name2);    \
  scanf("%d %d", &(name1), &(name2))
#define GI3(name1, name2, name3) \
  int(name1), (name2), (name3);  \
  scanf("%d %d %d", &(name1), &(name2), &(name3))
#define GVI(name, size)    \
  vector<int>(name)(size); \
  FOR(i, (size)) scanf("%d", &(name)[i])
#define GS(name) \
  string(name);  \
  cin >> (name);
#define MOD 1000000007
#define DEBUG(...) debug(__LINE__, ":" __VA_ARGS__)

string to_string(string s) {
  return s;
}

template <class T>
string to_string(vector<T> v) {
  string ret = "{";
  FOR(i, v.size() - 1) { ret += to_string(v[i]) + ","; }
  if (v.size() > 0) {
    ret += to_string(LAST(v));
  }
  ret += "}";
  return ret;
}

void debug() {
  cerr << endl;
}

template <class Head, class... Tail>
void debug(Head head, Tail... tail) {
  cerr << to_string(head) << " ";
  debug(tail...);
}

void print() {
  cout << endl;
}

template <class Head, class... Tail>
void print(Head head, Tail... tail) {
  cout << to_string(head);
  print(tail...);
}

int main() {
  GI(S);
  int f1 = 2, f2 = 2;
  if (S % 100 > 12) {
    f2 = 1;
  } else if (S % 100 == 0) {
    f2 = 0;
  }
  if (S / 100 > 12) {
    f1 = 1;
  } else if (S / 100 == 0) {
    f1 = 0;
  }
  if (f1 == 2 && f2 == 2) {
    print("AMBIGIOUS");
  } else if (f1 == 2 && f2 == 1) {
    print("MMYY");
  } else if (f1 == 1 && f2 == 2) {
    print("YYMM");
  } else {
    print("NA");
  }
  return 0;
}