1999-2000 ACM Northeastern European Regional Programming Contest

Problem A
"Divisibility"

Consider an arbitrary sequence of integers. One can place + or - operators between integers in the sequence, thus deriving different arithmetical expressions that evaluate to different values. Let us, for example, take the sequence: 17, 5, -21, 15. There are eight possibilities that result:
 
17 + 5 + -21 + 15   = 16
17 + 5 + -21 - 15   = -14
17 + 5 - -21 + 15   = 58
17 + 5 - -21 - 15   = 28
17 - 5 + -21 + 15   = 6
17 - 5 + -21 - 15   = -24
17 - 5 - -21 + 15   = 48
17 - 5 - -21 - 15   = 18

We call the sequence of integers divisible by K if + or - operators can be placed between integers in the sequence in such way that resulting value is divisible by K. In the above example, the sequence is divisible by 7 (because 17+5+-21-15=-14), but the sequence is not divisible by 5.

You are to write a program that will determine divisibility of sequence of integers.

Input

The first line of the input file contains the number of tests present in the file.

For each test present, subsequent lines of the input file alternate between

Containing two integers, N and K (1 <= N <= 10000, 2 <= K <= 100) separated by a space,  and
Containing a sequence of N integers separated by spaces. Each integer is less than 10001 in absolute value.

Output

For each test, your program should output the word "Divisible" if the given sequence of N integers is divisible by K or "Not divisible" if  not.

Sample input

2
4 7
17 5 -21 15
4 5
17 5 -21 15

Sample Output

Divisible
Not divisible