Two triangular projectors form two spots on a wall, one of blue, and second of yellow colour. Find the area of a green spot that is obtained with superposition of two spots and the form (number of vertices) of a green spot.

   Input

   The first line contains the coordinates of the first spot: x₁₁, y₁₁, x₁₂, y₁₂, x₁₃, y₁₃, and the second line contains the same vertex coordinates of the second spot x₂₁, y₂₁, x₂₂, y₂₂, x₂₃, y₂₃. It is know that -100 ≤ x_i, y_i ≤ 100.

   Output

   Print 2 numbers, separated with a blank, in one line: the number of vertices in a green spot and its area with two digits after the decimal point.