Problem B. Bedtime thoughts ≡
| Author: | A. Usmanov. Translation and Illustrations: A. Logutova. | Time limit: | 1 sec | |
| Input file: | Standard input | Memory limit: | 256 Mb | |
| Output file: | Standard output |
Statement
When Anastasia was a child, she often saw highlights moving on the celling of her room. These highlights became especially visible at night, when Anastasia was lying in her bed, looking at the celling. As she got older she understood, that the reason of the highlights were headlights of automobiles, driving to the yard.
Today Anastasia's husband presented her a car. She is interested if her new car could light up her room.
Windows of Anastasia's room are at height of H meters. You can assume that room is lighted up if any part of the window is lighted up.
Light of the headlights forms a sector of a circle. The range of her car's headlights is L meters. The maximum angle of light spread is A degrees.
The yard can be considered as a horizontal surface. The height of the car is negligible.
Input format
The first line contains three integers H, L and A.
Output format
Print "Yes" or "No" (without quotes) — Can Anastasia's new car light up her room?
Constraints
1 ≤ L, H ≤ 100
0 < A < 90
Sample tests
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