A. Horrible boss
time limit per test
2 seconds
memory limit per test
64 megabytes
input
standard input
output
standard output

There is a fight between a boss and his 3 employees. But instead of firing, the boss invites them to a judo fight. As if that was not enough, he says that 2 employees can come together to fight him. If we define the power of the 3 employees as P1,P2 and P3, and W is the power of the boss. Now, the fight is won by the team which has higher total combined power. In case of same power, the employees win. You need to check if the employees can win or not.

Input

The input contains 4 lines of input: P1, P2, P3 and W in this order only.

Output

Output a single word: "YES" if the employees can win, "NO" otherwise. Don't print the quotes in the output.

Example
Input
1
2
3
7
Output
NO