A farmer has a field of $$w$$ meters wide and $$l$$ meters long. This field yields $$c$$ cubic meters of grain per hectare (1 hectare = 10,000 square meters). The farmer has a number of cylindrical grain silos in which he stores his harvest. Each grain silo has a radius of $$r$$ meters and a height of $$h$$ meters.

Input

The values $$w$$, $$l$$, $$c$$, $$r$$ and $$h \in \mathbb{R}$$, in that order and on separate lines.

Output

Two lines of text. The first line contains the number of grain silos the farmer needs to store his harvest. The second line contains the height of the harvest in the last grain silo, which is possibly only filled partially.

Example

Input:

503.3
623.4
5.5
2.1
5.6

Output:

3
1.255694726337511

Example

Input:

3.1415926535897931
16
100000
4
10

Output:

1
10.0