You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D.

Constraints

* 1\leq A\leq B\leq 10^{18}
* 1\leq C,D\leq 10^9
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


A B C D


Output

Print the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D.

Examples

Input

4 9 2 3


Output

2


Input

10 40 6 8


Output

23


Input

314159265358979323 846264338327950288 419716939 937510582


Output

532105071133627368
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		// TODO 自動生成されたメソッド・スタブ
		Scanner sc=new Scanner(System.in);
		
		long a=sc.nextLong();
		long b=sc.nextLong();
		long c=sc.nextLong();
		long d=sc.nextLong();
		a=a-1;
 
        long s1=a-(a/c+a/d-a/lcm(c,d));
        long s2=b-(b/c+b/d-b/lcm(c,d));
 
        System.out.println(s2-s1);
        sc.close();
    }
 
    static long gcd(long a,long b) {
        if(b%a==0) {
            return a;
        }
        return gcd(b%a,a);
    }
 
    static long lcm(long a,long b) {
        return a*b/gcd(a,b);
	}
}