151. Construct a triangle

time limit per test: 0.25 sec / memory limit per test: 4096 KB

Find coordinates of any triangle ABC if it is know that |AB|=c, |AC|=b, |AM|=m, AM is a median of triangle.

Input

There are three real numbers in input: c, b, m (0<c,b,m<=10^3) separated by a space. Length of the fractional part of each number is not greater than 2 digits.

Output

If solution exists, write three lines. Write coordinates of point A to first line, coordinates of B to second line and coordinates of C to third line. Separate numbers by a space; absolute value of each coordinate must not exceed 10^4. Write numbers with 5 digits after decimal point. If there is no solution, write “Mission impossible”

Example(s)

Sample Input	Sample Output
5 5 3	0.00000 3.00000 -4.00000 0.00000 4.00000 0.00000