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.*;
import static java.lang.Integer.*;
//import static java.lang.Long.*;
import static java.lang.Math.*;
import static java.lang.System.*;

public class Main {
	public static void main(String[] args) {
		int i;
		Scanner sc = new Scanner(in);
		int a = parseInt(sc.next());
		int b = parseInt(sc.next());
		int c = parseInt(sc.next());
		int d = parseInt(sc.next());
		sc.close();
		out.println((abs(b-a)<=d&&abs(c-b)<=d)||abs(c-a)<=d?"Yes":"No");
	}
}
