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

hide comments
Shashank Gupta: 2013-11-10 17:41:50

@numerix OK I'll look, thanks. :)

numerix: 2013-11-10 17:33:11

@Shashank Gupta: You will find some hints according this question on the SPOJ forum (Python subforum). If you do not find what you are looking for, you may ask there.

Shashank Gupta: 2013-11-10 17:21:25

@numerix Can you give me a hint in figuring out how? Maybe cStringIO? I'm not able to use Python for a lot of problems because I'm just stuck on the input :\ I have to use C/C++.

numerix: 2013-11-10 14:29:29

@Shashank Gupta: You can get AC with Python without psyco. But it's not easily done.

Shashank Gupta: 2013-11-10 08:04:31

To do this in Python, you need psyco, but psyco is no longer available in SPOJ. In a C/C++ like language use a large character buffer and parse the input yourself rather than using formatted strings/iostreams. Of course, it's easy to go under the time limit using just scanf/printf or sync_with_stdio = False, but you won't get "super" speed. ;)

Last edit: 2013-11-10 08:06:37
Mohammed Hafez: 2013-08-03 22:03:25

OK, I get 0.81 sec
1. How to make my solution faster?
2. @richi18007 How can saving the input in an array (storing large numbers) and then processing it make it faster? "I calculate on the fly" !!!
Thanks :)

Last edit: 2013-09-03 17:05:51
Mitch Schwartz: 2013-07-10 19:29:45

@Adamax: A problem may have multiple data sets (where a data set is an input file paired with an output file), and the total time is the sum of the times for each data set.

Last edit: 2013-07-10 19:34:25
Adamax: 2013-07-10 18:23:06

What is the actual time limit for this problem? It says 8s, but solutions taking over 10 seconds are accepted.

Shubham: 2012-06-11 20:57:35

@Daniel Yes,I got the same results as well :)

Giorgos Christoglou: 2012-04-29 12:55:34

it is a tutorial problem not a classical problem ;)


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