The real numbers x1, y1, x2, y2, x3, y3 - the coordinates of triangle vertices are given. Find the perimeter and the area of a triangle.

Input

In one line the coordinates of triangle vertices are given: 6 numbers x1, y1, x2, y2, x3, y3 that do not exceed 100 by absolute value.

Output

Print in one line the perimeter and the area of a triangle. Print the answer with 4 decimal digits.