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.

Input Specification

The input consists of a single line with integers ~a, b, c~ separated by spaces.

Output Specification

Output on a single line, yes if a valid triangle can be formed.
If a valid triangle can not be formed, output no.

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

no

Sample Input 2

1 2 2

Sample Output 2

yes