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 {

//最小公倍数lcm
static long lcm (long a, long b) {
	long temp;
	long c = a;
	c *= b;
	while((temp = a%b)!=0) {
		a = b;
		b = temp;
	}
	return (long)(c/b);
}
	public static void main(String[] args) {
		Scanner stdIn = new Scanner(System.in);
		
		long a = stdIn.nextLong();
		long b = stdIn.nextLong();
		long c = stdIn.nextLong();
		long d = stdIn.nextLong();
		
		long cnt = b-b/c-b/d+b/lcm(c,d);
		
		long ccnt = (a-1)-(a-1)/c-(a-1)/d+(a-1)/lcm(c,d);
		
		long ans = cnt - ccnt;
		System.out.println(ans);
		
	}

}
