Count Multiples of KEasy

Count Multiples of K

EasyPractice library · +10 XPdynamic programmingiterationnumber theory

Given a list of N integers and an integer K, count how many integers in the list are divisible by K. An integer 'a' is divisible by K if 'a' modulo K is equal to 0.

Input

The first line contains two integers N and K, separated by a space. The second line contains N integers, a_1, a_2, ..., a_N, separated by spaces.

Output

Print a single integer: the count of numbers in the list that are divisible by K.

Constraints

1 <= N <= 1000; 1 <= K <= 1000; -1000 <= a_i <= 1000

Time limit 1 s (native code; slower languages get more)Memory 256 MB13 hidden tests

Example 1

Input
5 3
1 2 3 4 5
Output
1

Only the number 3 is divisible by 3.

Example 2

Input
6 2
2 4 6 8 10 12
Output
6

All 6 numbers are divisible by 2.

Hints