Diagonals

Four points $A(x_1;y_1)$, $B(x_2;y_2)$, $C(x_3;y_3)$, $D(x_4;y_4)$ are the vertices of parallelogram. Determine the length of the diagonals and find the coordinates of their intersection.

Input

In 4-lines through the gap defined $x$ and $y$ coordinates of successive peaks parallelogram, respectively points $A$, $B$, $C$ and $D$. All numbers in absolute value does not exceed $100$.

Output

The first line print after a gap of $x$ and $y$ coordinates of the point $O$, in the second - print the length of the diagonal $AC$ and through a gap - $BD$. The results lead to three decimal.

Examples