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 Haskell (GHC 7.10.3) (judge verdict: Wrong Answer)

data DataType = YYMM | MMYY | AMBIGUOUS | NA deriving (Eq,Show)
  
main = do
    str <- getLine
    putStrLn.show $ answer (read $ take 2 str) (read $ drop 2 str)

answer :: Int -> Int -> DataType
answer xx yy
    | xx > 12 && yy >12 = NA
    | xx > 12 && yy > 0 && yy <=12 = YYMM
    | yy > 12 && xx > 0 && xx <=12 = MMYY
    | xx <=12 && xx > 0 && yy <=12 && yy > 0 = AMBIGUOUS
    | xx == 0 && yy > 12 = NA
    | yy == 0 && xx > 12 = NA
    | xx == 0 && yy == 0 = NA
    | xx == 12 && yy == 0 = MMYY
    | xx == 0 && yy == 12 = YYMM
    | otherwise = NA