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)

N = int(input())
y = [0,1,2,3,4,5,6,7,8,9]
one = [1]
zero = [0]
p = [1,2,3,4,5,6,7,8,9]
q = [0,1,2]
a=N//1000
b=(N - (a * 1000))//100 
c=(N- (a*1000)-(b * 100))// 10
d=(N - (a*1000)-(b*100)-(c*10))

if ((a in one) and (b in q)or(a in zero) and (b in p))and((c in one) and (d in q)or(c in zero)and(d in q)):
  print('AMBIGUOUS')
elif (a in y )and(b in y)and((c in one) and (d in q) or (c in zero) and(d in p)):
  print('YYMM')
elif (((a in one )and(b in q))or((a in zero)and(c in p)))and(c in y) and (d in y):
  print('MMYY')
else:
  print('NA')