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) {
		try(Scanner sn = new Scanner(System.in)) {
			int a = sn.nextInt();
			int b = sn.nextInt();
			int c = sn.nextInt();
			int d = sn.nextInt();

			if ((Math.abs(b - a) <= d && Math.abs(c - b) <= d) || Math.abs(c - a) <= d) {
				System.out.println("Yes");
			} else {
				System.out.println("No");
			}
		}
	}

}
