CodeForces 275C 贪心

A k-multiple free set is a set of integers where there is no pair of integers where one is equal to another integer multiplied by k. That is, there are no two integers x and y (x < y) from the set, such that y = x·k.

You're given a set of n distinct positive integers. Your task is to find the size of it's largest k-multiple free subset.

Input

The first line of the input contains two integers n and k (1 ≤ n ≤ 10⁵, 1 ≤ k ≤ 10⁹). The next line contains a list of n distinct positive integers a₁, a₂, ..., a_n (1 ≤ a_i ≤ 10⁹).

All the numbers in the lines are separated by single spaces.

Output

On the only line of the output print the size of the largest k-multiple free subset of {a₁, a₂, ..., a_n}.

Sample Input

Input

6 2
2 3 6 5 4 10

Output

3

Hint

In the sample input one of the possible maximum 2-multiple free subsets is {4, 5, 6}.

题意：给定集合， 就出不存在y = k*x的子集。

贪心：从小到大选过去，如果选到，则他的k *x 不能选，用set标记下来

代码：

#include 
#include 
#include 
#include 
using namespace std;

int n, k, i, j;
long long num[100005], ans;
set save;
int main() {
    ans = 0;
    scanf("%d%d", &n, &k);
    for (i = 0; i < n; i ++) {
		scanf("%lld", &num[i]);
    }
    sort(num, num + n);
    for (i = 0; i < n; i ++) {
		if (save.count(num[i]) == 0) {
			ans ++;
			save.insert(num[i] * k);
		}
    }
    printf("%lld\n", ans);
    return 0;
}