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