UVa 190 Circle through Three Points: the equation of a circle determined by three points of the collinear line

190-circle through Three Points

Time limit:3.000 seconds

http://uva.onlinejudge.org/index.php?option=onlinejudge&page=show_problem&problem=126

The solution is printed as a equation of the form

and an equation of the form

Each line of input to your program would contain the x and Y coordinates of three points, in the order,,,,,. These coordinates would be the real numbers separated the from and the spaces.

Your program must print the required equations on two lines using the format given in the sample below. Your computed values for h, K, R, C, D, and E in equations 1 and 2 above are to is printed with three after the Dec iMAL Point. Plus and minus signs in the equations should is changed as needed to avoid multiple the signs a number. Plus, minus, and equal signs must be separated to adjacent from characters to a single for each side. No other spaces are to appear in the equations. Print a single blank line after each equation pair.