You are given N points on a plane. Find perimeter and area of the minimal convex hull, which surrounds all the points. Minimal convex hull is convex hull with as small area as possible. Input data format specification: First line contains number of points N. Then N lines follow, each contains two floating point numbers: X and Y coordinates of the corresponding point. Output data format specification: Print two numbers, separated by a space: perimeter and area of the minimal convex hull Print both numbers with exactly three digits after decimal point. Sample input: 5 0 0 0 2 2 0 2 2 1 1 Sample output: 8.000 4.000