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 Kotlin (1.0.0) (judge verdict: Wrong Answer)

fun main(args: Array<String>) {

    val s = readLine()!!.split("").toTypedArray()

    val mm = listOf("01", "02", "03", "04", "05", "06", "07", "08", "09", "10", "11", "12")
    val yy = (1..99).map { if (it in (1..9)) "0$it" else it.toString() }

    val l = (s[1] + s[2])
    val r = (s[3] + s[4])

    // 左がMMかつ右がYYの場合
    if (l in mm && r in yy) {
        // 左がYYかつ右がMMの場合
        if (l in yy && r in mm) {
            println("AMBIGUOUS")
            return
        }

        println("MMYY")
        return
    }

    // 左がYYかつ右がMMの場合
    if (l in yy && r in mm) {
        //左がMMかつ右がYYの場合
        if (l in mm && r in yy) {
            println("AMBIGUOUS")
            return
        }

        println("YYMM")
        return
    }

    println("NA")
}