Description

Given the three sides of a triangle, tell whether these three sides can form a triangle.

Data Format

Input

Three integers $a, b, c$ of corresponding side length, split by spaces.

Output

If the three sides can form a triangle, output "YES".
Otherwise, output "NO".
Do not output double quote marks and note the capitalized characters.

Data Sample

Input 1

1 1 1

Output 1

YES

Input 2

1 2 1

Output 2

NO

Constraints

All integers in input data are guaranteed to be $\le 10^9$.