The 19^th century German mathematician Hermann Minkowski investigated a non-Euclidean 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:

\(d(T_1, T_2) = |x_1 - x_2| + |y_1 - y_2|\)

All other definitions are the same as in Euclidean 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 (Euclidean) geometry, and the other in taxicab geometry. The burden of solving this difficult problem has fallen onto you.

The first and only line of input contains the radius \(R\), an integer smaller than or equal to \(10\,000\).

On the first line, output the area of a circle with radius \(R\) in normal (Euclidean) geometry.

On the second line, output the area of a circle with radius \(R\) in taxicab geometry.

Note: Outputs within \(±0.000001\) of the official solution will be accepted.

riseoj 작성

출처 COCI 2006/2007 Contest 1