Perimeter and area of triangle

Six real numbers $x_1,y_1,x_2,y_2,x_3,y_3$ — the coordinates of triangle vertices are given. Find the perimeter and the area of a triangle.

Input

Six real numbers — the coordinates of triangle vertices are given: $x_1,y_1,x_2,y_2,x_3,y_3$. The numbers do not exceed $100$ by absolute value.

Output

Print the perimeter and the area of a triangle with $4$ decimal digits.

Examples