INTEST - Enormous Input Test

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The purpose of this problem is to verify whether the method you are using to read input data is sufficiently fast to handle problems branded with the enormous Input/Output warning. You are expected to be able to process at least 2.5MB of input data per second at runtime.

Input

The input begins with two positive integers n k (n, k<=107). The next n lines of input contain one positive integer ti, not greater than 109, each.

Output

Write a single integer to output, denoting how many integers ti are divisible by k.

Example

Input:
7 3
1
51
966369
7
9
999996
11

Output:
4


Added by:adrian
Date:2004-11-09
Time limit:2.112s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6 VB.NET
Resource:Idea put forward by Michael Mendelsohn