101261: [AtCoder]ABC126 B - YYMM or MMYY

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.