# Problem E

European Trip

After winning Vietlott, a woman decided to go on a trip to
Europe! Let’s refer to her as *Ms.
Mask*.

Like other women, *Ms. Mask* really
loves shopping and guess where her first stop is? Of course, it
is London, a dream land for shopaholics. She has already
discovered three greatest shopping centers in London: Westfield
Stratford City, Piccadily Arcade and Fortnum & Mason. On
the Cartesian plane, these three shopping centers can be
depicted by three points.

*Ms. Mask* wants to rent a house to
stay during the whole trip, so that the total distance from her
house to those shopping centers are as small as possible. Help
her find an optimal position for her house, assuming that she
can put her house everywhere, even in Green Park or on Thames
River!

## Input

The input consists of three lines, each line contains two integers $x$ and $y$ (between $0$ and $10^3$, inclusive) representing the coordinates of three shopping centers.

It is guaranteed that those three points are not collinear.

## Output

Write in one line two real numbers $x$ and $y$ representing the place where
*Ms. Mask* should hire a house and
stay.

Let $P$ be the total distance from your point to three points given in the input, and $J$ be the total distance from jury’s point. Your answer is considered correct iff $P$ differs from $J$ at most $10^{-4}$ in term of either absolute or relative value.

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

0 0 1 0 0 1 |
0.211324865 0.211324865 |

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

174 711 980 989 976 384 |
803.563974893 697.742533711 |