100970: [AtCoder]ABC097 A - Colorful Transceivers

Problem Statement

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.

Sample Input 1

4 7 9 3

Sample Output 1

Yes

A and B can directly communicate, and also B and C can directly communicate, so we should print Yes.

Sample Input 2

100 10 1 2

Sample Output 2

No

They cannot communicate in this case.

Sample Input 3

10 10 10 1

Sample Output 3

Yes

There can be multiple people at the same position.

Sample Input 4

1 100 2 10

Sample Output 4

Yes