Diagonals

Four pointsA(x₁; y₁), B(x₂; y₂), C(x₃; y₃), D(x₄; y₄)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 ACand through a gap - BD. The results lead to three decimal.