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 Ruby (2.3.3) (judge verdict: Accepted)

S = gets.chomp.split('').map(&:to_i)

def yymm?(s)
  _a = s.slice(0, 2)
  b = s.slice(2, 2)

  b = b.join.to_i

  0 < b && b <= 12
end

def mmyy?(s)
  a = s.slice(0, 2)
  _b = s.slice(2, 2)

  a = a.join.to_i

  0 < a && a <= 12
end

if yymm?(S) && mmyy?(S)
  puts 'AMBIGUOUS'
elsif yymm?(S)
  puts 'YYMM'
elsif mmyy?(S)
  puts 'MMYY'
else
  puts 'NA'
end