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.