The perimeter of a triangle

Given the coordinates of 3 points , you are asked to calculate the perimeter of the triangle formed by those points. The perimeter is the sum of all the sides of the triangle.

The 3 lines of the input contain 3 coordinates - each x and y component on a single line.

The program should output a single line - the perimeter of the triangle formed by those coordinates.

Input

Output

0 0 1 0 0 1

3.41421356237

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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