OJ-Problems-Source/HDOJ/3895_autoAC.cpp

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#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
const double eps=1e-4;
using namespace std;
inline double sqr(double a)
{
return a*a;
}
double ax, x2, x3, ay, y2, y3, r1, r2, r3;
int m1, m2, m3;
bool check(double x, double y, double r)
{
if(fabs(sqr(x-ax)+sqr(y-ay)-sqr(r+m1*r1))>eps)return false;
if(fabs(sqr(x-x2)+sqr(y-y2)-sqr(r+m2*r2))>eps)return false;
if(fabs(sqr(x-x3)+sqr(y-y3)-sqr(r+m3*r3))>eps)return false;
return true;
}
int main()
{
int t;
scanf("%d", &t);
while(t-->0)
{
scanf("%lf%lf%lf%d%lf%lf%lf%d%lf%lf%lf%d", &ax, &ay, &r1, &m1, &x2, &y2, &r2, &m2, &x3, &y3, &r3, &m3);
if(m1==0)m1=-1;
if(m2==0)m2=-1;
if(m3==0)m3=-1;
double a, b, c, d, aa, bb, cc, dd;
a=2*(ax-x2);
b=2*(ay-y2);
c=2*(r2*m2-r1*m1);
d=m2*m2*r2*r2-m1*m1*r1*r1-x2*x2+ax*ax-y2*y2+ay*ay;
aa=2*(ax-x3);
bb=2*(ay-y3);
cc=2*(r3*m3-r1*m1);
dd=m3*m3*r3*r3-m1*m1*r1*r1-x3*x3+ax*ax-y3*y3+ay*ay;
double a1, b1, a2, b2;
if(fabs(bb*a-aa*b)<eps){printf("NO SOLUTION!\n");continue;}
a1=(a*cc-c*aa)/(bb*a-aa*b);
b1=(dd*a-d*aa)/(bb*a-aa*b);
if(fabs(b*aa-bb*a)<eps){printf("NO SOLUTION!\n");continue;}
a2=(cc*b-c*bb)/(b*aa-bb*a);
b2=(b*dd-bb*d)/(b*aa-bb*a);
double A, B, C;
A=a2*a2+a1*a1-1;
B=2*a2*b2-2*ax*a2+2*a1*b1-2*ay*a1-2*m1*r1;
C=b2*b2-2*ax*b2+ax*ax+b1*b1-2*ay*b1+ay*ay-r1*r1;
double rr;
if(B*B-4*A*C<0){printf("NO SOLUTION!\n");continue;}
if(fabs(A)<eps){printf("NO SOLUTION!\n");continue;}
rr=(sqrt(B*B-4*A*C)-B)/2/A;
double rx=a2*rr+b2;
double ry=a1*rr+b1;
if(rr>=-eps&&check(rx, ry, rr))
{
printf("%.4lf %.4lf", rx, ry);
if(fabs(rr)>=eps)printf(" %.4lf", rr);
printf("\n");
continue;
}
rr=(-B-sqrt(B*B-4*A*C))/2/A;
rx=a2*rr+b2;
ry=a1*rr+b1;
if(rr>=-eps&&check(rx, ry, rr))
{
printf("%.4lf %.4lf", rx, ry);
if(fabs(rr)>=eps)printf(" %.4lf", rr);
printf("\n");
continue;
}
printf("NO SOLUTION!\n");
}
return 0;
}