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
# coding:utf-8

import math
import re

def main(params):
    n = list(params[0])
    f = n[0] + n[1]
    s = n[2] + n[3]

    try:
        if (int(f) >= 1 and int(f) <= 12) and (int(s) == 0 or int(s) > 12):
            print "MMYY"
        elif (int(f) >= 1 and int(f) <= 12) and (int(f) >= 1 and int(f) <= 12):
            print "AMBIGUOUS"
        elif (int(s) >= 1 and int(s) <= 12) and (int(f) == 0 or int(f) > 12):
            print "YYMM"
        else:
            print "NA"
    except:
        print "NA"

if __name__ == "__main__":
    cnt = 1 # TODO: edit here
    params = []
    for i in range(cnt):
        param = raw_input()
        params.append(param)
    main(params)

