The mean and corrected sampling variance of a collection of $$n$$ numbers are two statistical quantities that are often used in Descriptive Statistics. The mean $$\bar{x}$$ is the sum of both numbers divided by $$n$$. The corrected sampling variance $$s^2$$ is the mean of the squared deviations of this mean value, corrected by a factor $$\frac{n}{n-1}$$.

Input

Five decimal numbers, each on a separate line.

Output

The mean $$\bar{x}$$ and the corrected sampling variance $$s^2$$ of these five numbers, on two separate lines.

Example

Input:

1.1
2.2
10.0
7.78
0.01

Output:

4.218
19.40522