You are given three positive integers, , such that . Determine whether a triangle of non-zero area can be formed with , , and as side lengths.
The input consists of a single line with integers separated by spaces.
Output on a single line,
yes if a valid triangle can be formed.
If a valid triangle can not be formed, output
Note: an invalid triangle in this case is one that does not satisfy the strict triangle inequality.
Sample Input 1
1 2 3
Sample Output 1
Sample Input 2
1 2 2
Sample Output 2