To make 1 kilogram of honey a bee should make 150000 flights, cover 300000 kilometers and visit 10 million flowers.

There is a beehive at point (0; 0; 0). Not far from the hive there is a grassland with flowers that should be considered as a triangle with vertices (x₁; y₁; z₁), (x₂; y₂; z₂), and (x₃; y₃; z₃). A bee can fly to any point at distance no more than 100 meters from the hive. Find the area of the grassland part, from which bees can gather nectar.

The first line contains coordinates x₁, y₁, z₁. The second line contains coordinates x₂, y₂, z₂. The third line contains coordinates x₃, y₃, z₃. All the coordinates are integers and do not exceed 200 in their absolute values. It is guaranteed that all three vertices of triangle are not on the same line.

Output the required area with an absolute or relative error no more than 10⁻².