Construct triangle 4

Construct a triangle given the lengths of its three sides.

Input

The program receives three real numbers as input, representing the lengths of the sides of a triangle. These side lengths are positive numbers, each not exceeding 10^4, and they satisfy the triangle inequality conditions.

Output

Output 6 real numbers, which are the coordinates of the vertices of a triangle that matches the given side lengths. Ensure the coordinates are presented with a precision of at least 6 decimal places.

Examples