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Problems

Perimeter and area of triangle

Perimeter and area of triangle

Time limit 1 second
Memory limit 128 MiB

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 data

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 data

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

Examples

Input example #1
3 2 7 6.5 10 1
Output example #1
19.3568 17.7500
Source SFE-2010 Variant 25