#P2221. 签到题

签到题

hrw最近看到一个有趣的几何题,题目描述是这样的:一个大圆盘里面放入许多小圆,每个小圆必须接触大圆边缘且与其他小圆不能相交,但它们可以互相接触,每个小圆具有相同的半径,求此条件下能否放入n个小圆盘。

Input

Multiple sets of test data,The first line contains three integers n, R and r (1 ≤ n ≤ 100, 1 ≤ r, R ≤ 1000) — the number of plates, the radius of the table and the plates' radius.and you can think the pi is 3.1415927

Output

Print "YES" (without the quotes) if it is possible to place n plates on the table by the rules given above. If it is impossible, print "NO".Remember, that each plate must touch the edge of the table.

Sample Input

4 10 4
2 10 10

Sample Output

YES
NO

HINT

Source