An eccentric coach asks players on the team to line up
alphabetically at the start of practice. The coach does not
tell the players whether they need to line up in increasing or
decreasing order, so they guess. If they guess wrong, the coach
makes them run laps before practice. Given a list of names, you
are to determine if the list is in increasing alphabetical
order, decreasing alphabetical order or neither.
The input consists of a single test case. The first line
will contain the number $N$ of people on the team
($2 \leq N \leq 20$).
Following that are $N$
lines, each containing the name of one person. A name will be
at least two characters and at most $12$ characters in length and
will consist only of capital letters, and with no white spaces
(sorry BILLY BOB and MARY JOE). Duplicates names will
not be allowed on a team.
Output a single word: INCREASING if the list
is in increasing alphabetical order, DECREASING if it
is in decreasing alphabetical order, and otherwise NEITHER.
|Sample Input 1
||Sample Output 1
|Sample Input 2
||Sample Output 2
|Sample Input 3
||Sample Output 3