Limits 500ms, 512 MB

A bee farmer was looking for a plank for a group of bees to live on. While searching, he found a wooden plank. But the problem is that any other group of bees lived on that plank in their own made house just like the picture below. They left the house but now the house is attached to the plank. (I don't know what kind of bee makes house like that!)

The bee farmer needs a plank of area X. Now if the area of ​​that plank is equal to or greater than X, then the farmer will destroy the housing of that plank and take away the board. Otherwise, it won't destroy the housing.

Input

The bees house in the picture is made up of many diagonals. So you will be given the value of one arm of the diagonal and the value of X as input. For which you can use float or double data type.

Output

Would the bee farmer take the plank or not? If the answer is yes then print Yes. Otherwise, print No. [You can assign the area into a double type variable]

Samples

InputOutput
5 6000
No
InputOutput
10 27320.509
No
InputOutput
23.19 14690.99
Yes

Problemsetter: Mushfiqur Rahman (mdvirus)

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81% Solution Ratio
sohomsahaunEarliest, Dec '19
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