You are given three positive integers, ~a, b, c~, such that ~a,b,c \le 1\,000\,000~. Determine whether a triangle of non-zero area can be formed with ~a~, ~b~, and ~c~ as side lengths.
The input consists of a single line with integers ~a, b, c~ 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