Question
Equal Task Distribution
There are three colleagues: Anna, Ben, and Charlie. They each have X, Y, and Z tasks completed respectively. You have M additional tasks to assign, and your goal is to distribute these tasks so that everyone, ends up with the same number of completed tasks. The challenge is to assign all M tasks evenly among the group.
Input
The first line of the input contains 4 integers X, Y, Z and M.
Constraints
1 ≤ X, Y, Z, M ≤ 1012
Constraints
1 ≤ X, Y, Z, M ≤ 1012
Output
Print (without quotes) "YES" if you can distribute tasks equally, else print "NO".
Example
Sample Input
5 3 2 11
Sample Output
YES
5 3 2 11
Sample Output
YES