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Problems

Create a triangle

Create a triangle

Given the lengths of three segments. Is it possible to construct from them the non-degenerate triangle? The triangle is non-degenerate if it has positive area.

Input

Three positive integers a, b, c (1a, b, c1000) - the lengths of three segments.

Output

Print YES if its possible to create the non-degenerate triangle from the given segments and NO otherwise.

Time limit 1 second
Memory limit 128 MiB
Input example #1
5 6 7
Output example #1
YES
Input example #2
3 7 4
Output example #2
NO