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 PyPy3 (2.4.0) (judge verdict: Wrong Answer)

from sys import stdin
import math
import fractions
from collections import deque

INF = 10 ** 10

S = stdin.readline().rstrip()

A = S[:2]
B = S[2:]

isYYMM = False
isMMYY = False

if int(B) <= 12 and int(B) >= 1 and int(A) >= 1:
    isYYMM = True

if int(A) <= 12 and int(A) >= 1 and int(B) >= 1:
    isMMYY = True

if isMMYY and isYYMM:
    print("AMBIGUOUS")
elif isMMYY:
    print("MMYY")
elif isYYMM:
    print("YYMM")
else:
    print("NA")