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 c/b;
}
  
 public static void main(String[] args){
   Scanner sc = new Scanner(System.in);
   long A = sc.nextLong()-1;
   long B = sc.nextLong();
   long C = sc.nextInt();
   long D = sc.nextInt();
   
   long lcm_cd = 0;
   long sum_B = 0;
   long sum_A = 0;
   if(C >=D) 
   {
    lcm_cd = lcm(C,D);
   }
   else 
   {
     lcm_cd = lcm(D,C);
   } 
   sum_B = B - ( (B/C) + (B/D) - (B/lcm_cd) );
   sum_A = A - ( (A/C) + (A/D) - (A/lcm_cd) );
   System.out.println(sum_B-sum_A);
 }
}