10684: ABC126 —— B - YYMM or MMYY
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Description
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`.
- 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`.
Input
Input is given from Standard Input in the following format:
```
$S$
```
```
$S$
```
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Constraints
$S$ is a digit sequence of length $4$.
Sample 1 Input
1905
Sample 1 Output
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 2 Input
0112
Sample 2 Output
AMBIGUOUS
Both December XX01 and January XX12 are valid dates. Thus, this string is valid in both formats.
Sample 3 Input
1700
Sample 3 Output
NA
Neither 0 nor 17 is valid as a month. Thus, this string is valid in neither format.