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# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Linq;
using System.Collections.Generic;
using System.IO;
class Program
{
    public static long ReadInt()
    {
        return long.Parse(Console.ReadLine());
    }

    public static long[] ReadInts()
    {
        return Console.ReadLine().Split().Select(long.Parse).ToArray();
    }

    public static void Main()
    {
        var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
        Console.SetOut(sw);

        var s = ReadInt();
        bool x = 1 <= s % 100 && s % 100 <= 12;
        bool y = 1 <= s / 100 && s / 100 <= 12;
        if (x && y)
            Console.WriteLine("AMBIGUOUS");
        else if (!x && y)
            Console.WriteLine("MMYY");
        else if (x && !y)
            Console.WriteLine("YYMM");
        else
            Console.WriteLine("NA");


        Console.Out.Flush();
    }
}