Old Watch

When you were younger, you had a digital watch you were very fond of. It had 4 modes you selected with a button that could:

• tell the time in the 24hours format (0000 to 2359)
• tell the temperature of your suroundings from 000 to 100
• tell the current month of the year (01to 12)
• tell the current day of the week (1 to 7).

One day while cleaning your room, you find this watch and wonder whether it still works. The mode the watch is in can be identified by counting the number of digits that are visible from the right (leading spaces are important).

• 4 digits means it’s in 24hr mode
• 3 digits means it’s in Temperature mode
• 2 digits means it’s in Month mode
• 1 digit means it’s in Day mode

From the Information given, it’s obvious that there are some values that woudn’t make sense in each mode(ex : 2567 isn’t a valid time for 24hr even though there are 4 digits). In all such cases, we consider the watch to be in Broken mode.

if there are gaps between the digits, it is also considered to be in Broken mode(ex: 0 10 is Broken).

If the screen shows anything other than a digit or a space, the watch is considered to be in Malfunctioning mode. (*when a malfunnctioning character is there, it doesn’t matter if the digits and spaces make sense or not in any other mode. It will be considered malfunctioning)

If the screen shows nothing at all, the watch is considered to be in Dead mode.

Identify the mode the watch is in for every test case and print it out.

Input Format

One line containing \(t\), the number of testcases

followed by \(t\) lines containing 4 characters each (a character can be a digit from 0 to 9, a space or any other character).

Output Format

\(t\) lines each Containing the mode of the given test case

Constraints

testcases can have leading spaces(see sample testcase).

Sample Input 0

6
1247
 070
  13
   2
 .10
 1 1

Sample Output 0

24hr
Temperature
Broken
Day
Malfunctioning
Broken