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Cod sursa(job #401861)
#include <algorithm>
#include <vector>
#include <queue>
#include <cmath>
using namespace std;
#define INF 2000000000
#define pb push_back
#define DIM 805
struct punct {double x,y;} a[DIM],v[DIM];
double w[DIM*DIM],dst[DIM];
vector <int> g[DIM];
double ct[DIM][DIM];
int t[DIM],viz[DIM];
int f[DIM][DIM];
double sol,nrt;
queue <int> q;
int n,m,s,d;
void read ()
{
int i;
scanf ("%d",&n);
for (i=1; i<=n; ++i)
scanf ("%lf%lf",&a[i].x,&a[i].y);
for (i=1; i<=n; ++i)
scanf ("%lf%lf",&v[i].x,&v[i].y);
}
void init ()
{
int i,j,k;
s=k=0; d=2*n+1;
for (i=1; i<=n; ++i)
for (j=1; j<=n; ++j)
{
w[++k]=ct[i][j+n]=sqrt ((a[i].x-v[j].x)*(a[i].x-v[j].x)+(a[i].y-v[j].y)*(a[i].y-v[j].y));
ct[i+j][i]=-ct[i][j+n];
g[s].pb (i); g[i].pb (s);
g[i].pb (j+n); g[j+n].pb (i);
g[j+n].pb (d); g[d].pb (j+n);
}
}
int bellman_ford ()
{
int i,nod;
for (i=s; i<=d; ++i)
dst[i]=INF;
dst[s]=0;
for (q.push (s); !q.empty (); q.pop ())
{
viz[nod=q.front ()]=0;
for (i=0; i<(int)g[nod].size (); ++i)
if (dst[nod]+ct[nod][g[nod][i]]<dst[g[nod][i]] && f[nod][g[nod][i]])
{
dst[g[nod][i]]=dst[nod]+ct[nod][g[nod][i]];
t[g[nod][i]]=nod;
if (!viz[g[nod][i]])
{
q.push (g[nod][i]);
viz[g[nod][i]]=1;
}
}
}
if (dst[d]==INF)
return 0;
return 1;
}
double cuplaj (double val)
{
int nrmin,i,j,cup;
double cost;
cup=0;
cost=0;
memset (f,0,sizeof (f));
for (i=1; i<=n; ++i)
for (j=1; j<=n; ++j)
if (ct[i][j+n]<=val)
f[s][i]=f[i][j+n]=f[j+n][d]=1;
for (nrmin=INF; bellman_ford (); nrmin=INF)
{
for (i=d; i!=s; i=t[i])
nrmin=min (nrmin,f[t[i]][i]);
for (i=d; i!=s; i=t[i])
{
f[t[i]][i]-=nrmin;
f[i][t[i]]+=nrmin;
}
if (nrmin)
{
cost+=dst[d];
++cup;
}
}
if (cup!=n)
return INF;
return cost;
}
void solve ()
{
int st,dr,mij;
double nrc;
nrt=INF-1;
sort (w+1,w+n*n+1);
for (st=1, dr=n*n; st<=dr; )
{
mij=(st+dr)/2;
nrc=cuplaj (w[mij]);
if (nrc<=nrt)
{
nrt=nrc;
sol=w[mij];
dr=mij-1;
}
else
st=mij+1;
}
printf ("%lf %lf",sol,nrt);
}
int main ()
{
freopen ("adapost.in","r",stdin);
freopen ("adapost.out","w",stdout);
read ();
init ();
solve ();
return 0;
}