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 static java.lang.System.*;
import java.util.*;
 
public class Main {
	static Scanner sc = new Scanner(System.in);
	public static void main(String[] args) {
		int a=sc.nextInt(), b=sc.nextInt(), c=sc.nextInt(), d=sc.nextInt();
		int difAB = (int)Math.abs(a-b);
		int difBC = (int)Math.abs(b-c);
		int difAC = (int)Math.abs(a-c);
		if (difAB<=d && difBC<=d) {
			out.println("Yes");
		}
		else if (difAC <= d) out.println("Yes");
		else out.println("No");
	}
}