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 Python (3.4.3) (judge verdict: Wrong Answer)

#coding: utf-8

S = input()


def valid_my(mon, day):
    m = int(mon)
    d = int(day)

    if m <= 0 or 13 <= m:
        return False

    if d <= 0 or 32 <= d:
        return False

    if m == 2:
        return 1 <= d and d <= 29

    if m in (4, 6, 9, 11):
        return 1 <= d and d <= 30

    else:
        return 1 <= d and d <= 31


def valid_ym(year, mon):
    y = int(year)
    m = int(mon)

    if m <= 0 or 13 <= m:
        return False

    return True


A = S[:2]
B = S[2:]

my = valid_my(A, B)
ym = valid_ym(A, B)

if my and ym:
    print("AMBIGUOUS")
elif my:
    print("MMYY")
elif ym:
    print("YYMM")
else:
    print("NA")