hdu 3400 Line belt

时间:2023-03-09 05:12:42
hdu 3400  Line belt

题意:给你两条线段AB,CD;然后给你在AB,CD上的速度P,Q,在其它部分的速度是R,然后求A到D的最短时间。

思路:用三分枚举从AB线段上离开的点,然后再用三分枚举在CD的上的点找到最优点,求距离和时间就可以。

 #include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
using namespace std;
const double eps=1e-; int t;
double p,q,r;
struct point
{
double x,y;
}a,b,c,d; double sqr(double x)
{
return x*x;
} double dis(double x1,double y1,double x2,double y2)
{
return sqrt(sqr(x1-x2)+sqr(y1-y2)+eps);
} double ok(double t1)
{
point pos;
pos.x=a.x+(b.x-a.x)*((t1*p)/dis(a.x,a.y,b.x,b.y));
pos.y=a.y+(b.y-a.y)*((t1*p)/dis(a.x,a.y,b.x,b.y));
double l1=,r1=dis(c.x,c.y,d.x,d.y)/q;
while(r1-l1>eps)
{
double mid1=(r1+l1)/;
double mid2=(mid1+r1)/;
double x1=d.x+(c.x-d.x)*((mid1*q)/dis(c.x,c.y,d.x,d.y));
double y1=d.y+(c.y-d.y)*((mid1*q)/dis(c.x,c.y,d.x,d.y));
double x2=d.x+(c.x-d.x)*((mid2*q)/dis(c.x,c.y,d.x,d.y));
double y2=d.y+(c.y-d.y)*((mid2*q)/dis(c.x,c.y,d.x,d.y));
double d1=dis(pos.x,pos.y,x1,y1)/r;
double d2=dis(pos.x,pos.y,x2,y2)/r;
if(d1+mid1<=d2+mid2)
{
r1=mid2;
}
else
l1=mid1;
}
double xx=d.x+(c.x-d.x)*(l1*q)/dis(c.x,c.y,d.x,d.y);
double yy=d.y+(c.y-d.y)*(l1*q)/dis(c.x,c.y,d.x,d.y);
return dis(pos.x,pos.y,xx,yy)/r+t1+l1;
} int main()
{
scanf("%d",&t);
while(t--)
{
scanf("%lf%lf%lf%lf",&a.x,&a.y,&b.x,&b.y);
scanf("%lf%lf%lf%lf",&c.x,&c.y,&d.x,&d.y);
scanf("%lf%lf%lf",&p,&q,&r);
double ll=,rr=dis(a.x,a.y,b.x,b.y)/p;
while(rr-ll>eps)
{
double mid1=(ll+rr)/;
double mid2=(mid1+ll)/;
if(ok(mid2)>=ok(mid1))
{
ll=mid2;
}
else
rr=mid1;
}
printf("%.2lf\n",ok(ll));
}
}