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`.

Examples

Input

1905


Output

YYMM


Input

0112


Output

AMBIGUOUS


Input

1700


Output

NA
import sys

def isM(s):
    if (s[0] == '0' and '1'<=s[1]<='9' ) or \
        (s[0] == '1' and s[1] in ('0', '1', '2')):
        return True
    return False

if __name__ == '__main__':
    input = sys.stdin.read()
    F, S = input[:2], input[2:]
    if isM(F) and not isM(S): print "MMYY"
    elif not isM(F) and isM(S): print "YYMM"
    elif isM(F) and isM(S): print "AMBIGUOUS"
    else: print 'NA'