#include<iostream>
#include<iomanip>
#include<vector>
#include<cmath>
#include<algorithm>
#define ep emplace
#define eb emplace_back
#define fi first
#define se second
#define all(x) (x).begin(),(x).end()
#define semicolon ;
#define ryan bear
using namespace std;
typedef long long ll;
typedef pair<int,int>pi;
typedef pair<ll,ll>pl;
typedef pair<double,double>pd;
typedef pair<pd,pd>ln;
const int inf=1e9+7;
const ll INF=1e18;
const double eps=1e-9;
const ln xa(pd(0,0),pd(INF,0));
pd operator-(pd x,pd y)
{
return pd(x.fi-y.fi,x.se-y.se);
}
inline double ccw(pd x,pd y)
{
return x.fi*y.se-x.se*y.fi;
}
inline double sq(double x)
{
return x*x;
}
inline double dist(pd x,pd y)
{
return sqrt(sq(x.fi-y.fi)+sq(x.se-y.se));
}
inline double dot(pd x,pd y)
{
return x.fi*y.fi+x.se*y.se;
}
inline bool cross(ln x,ln y)
{
bool xc=ccw(x.fi-y.fi,x.se-y.fi)*ccw(x.fi-y.se,x.se-y.se)<0;
swap(x,y);
bool yc=ccw(x.fi-y.fi,x.se-y.fi)*ccw(x.fi-y.se,x.se-y.se)<0;
return xc&&yc;
}
inline bool cross2(ln x,ln y)
{
bool xc=ccw(x.fi-y.fi,x.se-y.fi)*ccw(x.fi-y.se,x.se-y.se)<1e-3;
swap(x,y);
bool yc=ccw(x.fi-y.fi,x.se-y.fi)*ccw(x.fi-y.se,x.se-y.se)<1e-3;
return xc&&yc;
}
inline pd cut(ln x,double r)
{
return pd(x.fi.fi*(1-r)+x.se.fi*r,x.fi.se*(1-r)+x.se.se*r);
}
inline pd perp(pd x,ln y)
{
double rs=0;
double re=1;
while(re-rs>eps)
{
double r1=(rs*2+re)/3;
double r2=(rs+re*2)/3;
if(dist(x,cut(y,r1))<dist(x,cut(y,r2)))
re=r2;
else
rs=r1;
}
return cut(y,rs);
}
double d[505][505];
inline void init(int n)
{
for(int i=0;i<n;i++)
for(int j=0;j<n;j++)
d[i][j]=INF;
for(int i=0;i<n;i++)
d[i][i]=0;
return;
}
inline void app(int i,int j,double y)
{
d[i][j]=min(d[i][j],y);
d[j][i]=min(d[j][i],y);
return;
}
vector<ln>rs;
inline void app(int i,int j,int sz,pd x,pd y)
{
for(ln&t:rs)
if(cross(t,ln(x,y)))
return;
double nd=dist(x,y);
if(cross(xa,ln(x,y)))
app(i,j+sz,nd),app(i+sz,j,nd);
else
app(i,j,nd),app(i+sz,j+sz,nd);
return;
}
inline void floyd(int n)
{
for(int k=0;k<n;k++)
for(int i=0;i<n;i++)
for(int j=0;j<n;j++)
d[i][j]=min(d[i][j],d[i][k]+d[k][j]);
return;
}
inline void cal(double&x)
{
x+=x>0?eps:eps;
return;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n;
double s;
cin>>n>>s;
vector<ln>v;
vector<pd>rp;
rp.eb(s,s),rp.eb(-s,s),rp.eb(-s,-s),rp.eb(s,-s);
rs.eb(rp[0],rp[2]);
rs.eb(rp[1],rp[3]);
rs.eb(pd(s,0),pd(-s,0));
rs.eb(pd(0,s),pd(0,-s));
for(pd&t:rp)
v.eb(t,t);
for(int i=0;i<n;i++)
{
pd x,y;
cin>>x.fi>>x.se>>y.fi>>y.se;
if(x.se==0)
x.se=eps;
if(y.se==0)
y.se=eps;
if(cross2(xa,ln(x,y)))
{
if(x.se<y.se)
swap(x,y);
if(x.se>eps)
v.eb(x,cut(ln(x,y),x.se/(x.se-y.se))),v.back().se.se+=eps;
if(y.se<-eps)
v.eb(cut(ln(x,y),x.se/(x.se-y.se)),y),v.back().fi.se-=eps;
}
else
v.eb(x,y);
}
n=v.size();
init(n*2);
for(int i=0;i<n;i++)
{
for(int j=i+1;j<n;j++)
{
app(i,j,n,v[i].fi,v[j].fi);
app(i,j,n,v[i].fi,v[j].se);
app(i,j,n,v[i].se,v[j].fi);
app(i,j,n,v[i].se,v[j].se);
app(i,j,n,v[i].fi,perp(v[i].fi,v[j]));
app(i,j,n,v[i].se,perp(v[i].se,v[j]));
app(i,j,n,v[j].fi,perp(v[j].fi,v[i]));
app(i,j,n,v[j].se,perp(v[j].se,v[i]));
}
}
floyd(n*2);
double m=INF;
for(int i=0;i<n;i++)
m=min(m,d[i][i+n]);
cout<<fixed<<setprecision(12)<<m<<endl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
376 KB |
Output is correct |
6 |
Correct |
5 ms |
376 KB |
Output is correct |
7 |
Correct |
5 ms |
376 KB |
Output is correct |
8 |
Correct |
5 ms |
376 KB |
Output is correct |
9 |
Correct |
5 ms |
376 KB |
Output is correct |
10 |
Correct |
5 ms |
376 KB |
Output is correct |
11 |
Correct |
5 ms |
380 KB |
Output is correct |
12 |
Correct |
5 ms |
376 KB |
Output is correct |
13 |
Correct |
5 ms |
376 KB |
Output is correct |
14 |
Correct |
5 ms |
380 KB |
Output is correct |
15 |
Correct |
5 ms |
376 KB |
Output is correct |
16 |
Correct |
5 ms |
376 KB |
Output is correct |
17 |
Correct |
5 ms |
376 KB |
Output is correct |
18 |
Correct |
5 ms |
376 KB |
Output is correct |
19 |
Correct |
5 ms |
376 KB |
Output is correct |
20 |
Correct |
5 ms |
376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
376 KB |
Output is correct |
6 |
Correct |
5 ms |
376 KB |
Output is correct |
7 |
Correct |
5 ms |
376 KB |
Output is correct |
8 |
Correct |
5 ms |
376 KB |
Output is correct |
9 |
Correct |
5 ms |
376 KB |
Output is correct |
10 |
Correct |
5 ms |
376 KB |
Output is correct |
11 |
Correct |
5 ms |
380 KB |
Output is correct |
12 |
Correct |
5 ms |
376 KB |
Output is correct |
13 |
Correct |
5 ms |
376 KB |
Output is correct |
14 |
Correct |
5 ms |
380 KB |
Output is correct |
15 |
Correct |
5 ms |
376 KB |
Output is correct |
16 |
Correct |
5 ms |
376 KB |
Output is correct |
17 |
Correct |
5 ms |
376 KB |
Output is correct |
18 |
Correct |
5 ms |
376 KB |
Output is correct |
19 |
Correct |
5 ms |
376 KB |
Output is correct |
20 |
Correct |
5 ms |
376 KB |
Output is correct |
21 |
Correct |
5 ms |
376 KB |
Output is correct |
22 |
Correct |
5 ms |
504 KB |
Output is correct |
23 |
Correct |
5 ms |
376 KB |
Output is correct |
24 |
Correct |
5 ms |
376 KB |
Output is correct |
25 |
Correct |
5 ms |
376 KB |
Output is correct |
26 |
Correct |
5 ms |
376 KB |
Output is correct |
27 |
Correct |
5 ms |
504 KB |
Output is correct |
28 |
Correct |
5 ms |
376 KB |
Output is correct |
29 |
Correct |
5 ms |
376 KB |
Output is correct |
30 |
Correct |
6 ms |
376 KB |
Output is correct |
31 |
Correct |
5 ms |
376 KB |
Output is correct |
32 |
Correct |
5 ms |
376 KB |
Output is correct |
33 |
Correct |
5 ms |
376 KB |
Output is correct |
34 |
Correct |
5 ms |
376 KB |
Output is correct |
35 |
Correct |
5 ms |
376 KB |
Output is correct |
36 |
Correct |
5 ms |
376 KB |
Output is correct |
37 |
Correct |
5 ms |
376 KB |
Output is correct |
38 |
Correct |
5 ms |
376 KB |
Output is correct |
39 |
Correct |
5 ms |
376 KB |
Output is correct |
40 |
Correct |
5 ms |
376 KB |
Output is correct |
41 |
Correct |
5 ms |
376 KB |
Output is correct |
42 |
Correct |
5 ms |
376 KB |
Output is correct |
43 |
Correct |
5 ms |
376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
376 KB |
Output is correct |
4 |
Correct |
5 ms |
376 KB |
Output is correct |
5 |
Correct |
5 ms |
376 KB |
Output is correct |
6 |
Correct |
5 ms |
376 KB |
Output is correct |
7 |
Correct |
5 ms |
376 KB |
Output is correct |
8 |
Correct |
5 ms |
376 KB |
Output is correct |
9 |
Correct |
5 ms |
376 KB |
Output is correct |
10 |
Correct |
5 ms |
376 KB |
Output is correct |
11 |
Correct |
5 ms |
380 KB |
Output is correct |
12 |
Correct |
5 ms |
376 KB |
Output is correct |
13 |
Correct |
5 ms |
376 KB |
Output is correct |
14 |
Correct |
5 ms |
380 KB |
Output is correct |
15 |
Correct |
5 ms |
376 KB |
Output is correct |
16 |
Correct |
5 ms |
376 KB |
Output is correct |
17 |
Correct |
5 ms |
376 KB |
Output is correct |
18 |
Correct |
5 ms |
376 KB |
Output is correct |
19 |
Correct |
5 ms |
376 KB |
Output is correct |
20 |
Correct |
5 ms |
376 KB |
Output is correct |
21 |
Correct |
5 ms |
376 KB |
Output is correct |
22 |
Correct |
5 ms |
504 KB |
Output is correct |
23 |
Correct |
5 ms |
376 KB |
Output is correct |
24 |
Correct |
5 ms |
376 KB |
Output is correct |
25 |
Correct |
5 ms |
376 KB |
Output is correct |
26 |
Correct |
5 ms |
376 KB |
Output is correct |
27 |
Correct |
5 ms |
504 KB |
Output is correct |
28 |
Correct |
5 ms |
376 KB |
Output is correct |
29 |
Correct |
5 ms |
376 KB |
Output is correct |
30 |
Correct |
6 ms |
376 KB |
Output is correct |
31 |
Correct |
5 ms |
376 KB |
Output is correct |
32 |
Correct |
5 ms |
376 KB |
Output is correct |
33 |
Correct |
5 ms |
376 KB |
Output is correct |
34 |
Correct |
5 ms |
376 KB |
Output is correct |
35 |
Correct |
5 ms |
376 KB |
Output is correct |
36 |
Correct |
5 ms |
376 KB |
Output is correct |
37 |
Correct |
5 ms |
376 KB |
Output is correct |
38 |
Correct |
5 ms |
376 KB |
Output is correct |
39 |
Correct |
5 ms |
376 KB |
Output is correct |
40 |
Correct |
5 ms |
376 KB |
Output is correct |
41 |
Correct |
5 ms |
376 KB |
Output is correct |
42 |
Correct |
5 ms |
376 KB |
Output is correct |
43 |
Correct |
5 ms |
376 KB |
Output is correct |
44 |
Correct |
52 ms |
1276 KB |
Output is correct |
45 |
Correct |
50 ms |
1272 KB |
Output is correct |
46 |
Correct |
52 ms |
1276 KB |
Output is correct |
47 |
Correct |
48 ms |
1264 KB |
Output is correct |
48 |
Correct |
46 ms |
1144 KB |
Output is correct |
49 |
Correct |
54 ms |
1272 KB |
Output is correct |
50 |
Correct |
49 ms |
1272 KB |
Output is correct |
51 |
Correct |
52 ms |
1276 KB |
Output is correct |
52 |
Correct |
52 ms |
1272 KB |
Output is correct |
53 |
Correct |
51 ms |
1272 KB |
Output is correct |
54 |
Correct |
52 ms |
1272 KB |
Output is correct |
55 |
Correct |
62 ms |
1272 KB |
Output is correct |
56 |
Correct |
56 ms |
1272 KB |
Output is correct |
57 |
Correct |
48 ms |
1272 KB |
Output is correct |
58 |
Correct |
50 ms |
1272 KB |
Output is correct |
59 |
Correct |
51 ms |
1400 KB |
Output is correct |
60 |
Correct |
57 ms |
1272 KB |
Output is correct |
61 |
Correct |
64 ms |
1272 KB |
Output is correct |
62 |
Correct |
6 ms |
504 KB |
Output is correct |
63 |
Correct |
5 ms |
504 KB |
Output is correct |
64 |
Correct |
41 ms |
1148 KB |
Output is correct |
65 |
Correct |
43 ms |
1144 KB |
Output is correct |
66 |
Correct |
40 ms |
1272 KB |
Output is correct |
67 |
Correct |
62 ms |
1272 KB |
Output is correct |
68 |
Correct |
61 ms |
1400 KB |
Output is correct |
69 |
Correct |
43 ms |
1144 KB |
Output is correct |
70 |
Correct |
39 ms |
1144 KB |
Output is correct |
71 |
Correct |
42 ms |
1144 KB |
Output is correct |
72 |
Correct |
45 ms |
1272 KB |
Output is correct |