题目描述
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
输入格式
见题面
输出格式
见题面
样例输入
1 100 2 10
样例输出
Yes