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)

S = input()

S_01 = int(S[0] + S[1])
S_23 = int(S[2] + S[3])

yymm_flag = True
mmyy_flag = True

if S_01 == 0 or S_23 == 0:
    yymm_flag = False
    mmyy_flag = False
    
if S_01 >= 13:
    mmyy_flag = False

if S_23 >= 13:
    yymm_flag = False

if yymm_flag == True and mmyy_flag == True:
    print('AMBIGUOUS')
elif mmyy_flag == True and yymm_flag == False:
    print('MMYY')
elif yymm_flag == True and mmyy_flag == False:
    print('YYMM')
else:
    print('NA')