Three people, A, B and C, are trying to communicate using transceivers. They are standing along a number line, and the coordinates of A, B and C are a, b and c (in meters), respectively. Two people can directly communicate when the distance between them is at most d meters. Determine if A and C can communicate, either directly or indirectly. Here, A and C can indirectly communicate when A and B can directly communicate and also B and C can directly communicate.

Constraints

* 1 ≤ a,b,c ≤ 100
* 1 ≤ d ≤ 100
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


a b c d


Output

If A and C can communicate, print `Yes`; if they cannot, print `No`.

Examples

Input

4 7 9 3


Output

Yes


Input

100 10 1 2


Output

No


Input

10 10 10 1


Output

Yes


Input

1 100 2 10


Output

Yes
import java.util.Scanner;

public class Main{
    public static void main(String[] args){
	Scanner scan = new Scanner(System.in);

	int a = scan.nextInt();
	int b = scan.nextInt();
	int c = scan.nextInt();
	int d = scan.nextInt();

	int ab = Math.abs(a-b);
	int bc = Math.abs(b-c);
	int ca = Math.abs(c-a);

	if(ca <= d){
	    System.out.println("Yes");
	}else{
	    if(ab <= d && bc <= d){
		System.out.println("Yes");
	    }else{
		System.out.println("No");
	    }
	}
    }
}
	
