151. Construct a triangle
time limit per test: 0.25
sec.
memory limit per test: 4096
KB
input: standard input
output: standard output
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"
Sample test(s)
Input
5 5 3
Output
0.00000 3.00000
4.00000 0.00000
4.00000 0.00000
Author:  Michael R. Mirzayanov

Resource:  Saratov Subregional School Team Contest, 2002

Date:  Spring, 2002

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