In the heart of your home city, there is an old square,
close to the train station, appropriately called Station
Square. It used to look like a perfect square: four sides
of equal length joined by right angles. However, it hasn’t
looked like this for decades, as one of the four corners was
destroyed by bombings in the Second World War. After the war,
the square was rebuilt as a quarter circle, and it has looked
like that ever since. (In other words, it looks like an
isosceles right triangle, except that the hypothenuse is not a
straight line but a circular arc.) This is illustrated in the
figure below, which corresponds with Sample Input 1.
Figure 1: Illustration of the first example input.
Recently, the city council voted to completely remodel the
train station and its surroundings, which includes restoring
Station Square to its original state. Therefore they need to
determine the exact location of the fourth corner. This task is
too complicated for ordinary aldermen, so the city decided to
hire a top scientist. That would be you! Please help the city
complete the square, and you will be greatly rewarded!
There are three lines of input. Each line contains two
integers denoting the $x$
and $y$ coordinates of one
of the corners of the current square ($-10^4 \leq x,y\leq 10^4$).
Output one line with two space-separated integers denoting
the $x$ and $y$ coordinates of the long-lost
|Sample Input 1
||Sample Output 1
|Sample Input 2
||Sample Output 2
|Sample Input 3
||Sample Output 3