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;

namespace BYymmOrMmyy
{
    class Program
    {
        static void Main(string[] args)
        {
            // 入力の取得
            var inputs = Console.ReadLine().ToCharArray();

            // ２桁ずつの値を int に変換
            var first = int.Parse(String.Concat(inputs[0], inputs[1]));
            var second = int.Parse(String.Concat(inputs[2], inputs[3]));

            // それぞれが月の可能性があるか否か
            var maybeMmFirst = 1 <= first && first <= 12;
            var maybeMmSecond = 1 <= second && second <= 12;

            // 解答の出力
            if (maybeMmFirst && maybeMmSecond) Console.WriteLine("AMBIGUOUS");
            else if (maybeMmFirst && !maybeMmSecond) Console.WriteLine("MMYY");
            else if (!maybeMmFirst && maybeMmSecond) Console.WriteLine("YYMM");
            else Console.WriteLine("NA");
        }
    }
}