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代码:
#include<stdio.h>
#include<math.h>
#define pi acos(-1.0)
#define inf 10000000
struct circle
{
double x,y;
double r;
} c1,c2;
double get_juli(double x1,double y1,double x2,double y2)
{
return sqrt((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2));
}
double get_mianji(circle c1,circle c2)
{
double dis=get_juli(c1.x,c1.y,c2.x,c2.y);
if(dis>=c1.r+c2.r)
return 0;
double min_r=c1.r<c2.r?c1.r:c2.r;
double max_r=c1.r>c2.r?c1.r:c2.r;
if(min_r+dis<=max_r)
return pi*min_r*min_r;
double a=acos((c1.r*c1.r+dis*dis-c2.r*c2.r)/2/c1.r/dis);
double b=acos((c2.r*c2.r+dis*dis-c1.r*c1.r)/2/c2.r/dis);
double area1=a*c1.r*c1.r;
double area2=b*c2.r*c2.r;
double ans=area1+area2;
double area_que=sin(a)*c1.r*dis;
ans-=area_que;
return ans;
}
int main()
{
int q;
scanf("%d",&q);
while(q--)
{
// double x0,y0,x1,y1,r;
scanf("%lf%lf%lf%lf%lf",&c1.x,&c1.y,&c2.x,&c2.y,&c1.r);
double mianji=pi*c1.r*c1.r/2.0;
double l=0,r=inf,mid;
while(r-l>=1e-9)
{
mid=(r+l)/2.0;
c2.r=mid;
if(get_mianji( c1, c2)>=mianji)
r=mid;
else
l=mid;
}
printf("%.4lf\n",r);
}
}
time:16ms, memory:980kb;