YYMM or MMYY

AtCoder
IDabc126_b
Time2000ms
Memory256MB
Difficulty
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: $S$ [samples]
Samples
Input #1
1905
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.
Input #2
0112
Output #2
AMBIGUOUS

Both December $XX01$ and January $XX12$ are valid dates. Thus, this string is valid in both formats.
Input #3
1700
Output #3
NA

Neither $0$ nor $17$ is valid as a month. Thus, this string is valid in neither format.
API Response (JSON)
{
  "problem": {
    "name": "YYMM or MMYY",
    "description": {
      "content": "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",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc126_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You have a digit sequence $S$ of length $4$. You are wondering which of the following formats $S$ is in:\n\n*   YYMM format: the last two digits of the year and the two-digit representation of the month...",
      "is_translate": false,
      "language": "English"
    }
  ]
}
Full JSON Raw Segments