# Problem B

Herman

The 19th century German mathematician Hermann Minkowski investigated a non-Euclidian geometry, called the taxicab geometry. In taxicab geometry the distance between two points $T_1(x_1, y_1)$ and $T_2(x_2, y_2)$ is defined as:

\[ D(T_1,T_2) = \left|x_1 - x_2\right| + \left|y_1 - y_2\right| \]All other definitions are the same as in Euclidian geometry, including that of a circle:

A **circle** is the set of all points in
a plane at a fixed distance (the radius) from a fixed point
(the centre of the circle).

We are interested in the difference of the areas of two circles with radius $R$, one of which is in normal (Euclidian) geometry, and the other in taxicab geometry. The burden of solving this difficult problem has fallen onto you.

## Input

The first and only line of input will contain the radius $R$, a positive integer smaller than or equal to $10\, 000$.

## Output

On the first line you should output the area of a circle with radius $R$ in normal (Euclidian) geometry. On the second line you should output the area of a circle with radius $R$ in taxicab geometry.

Note: Outputs within $\pm 0.0001$ of the official solution will be accepted.

Sample Input 1 | Sample Output 1 |
---|---|

1 |
3.141593 2.000000 |

Sample Input 2 | Sample Output 2 |
---|---|

21 |
1385.442360 882.000000 |

Sample Input 3 | Sample Output 3 |
---|---|

42 |
5541.769441 3528.000000 |