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Cod sursa(job #402454)
#include <algorithm>
#include <vector>
#include <bitset>
#include <queue>
#include <cmath>
using namespace std;
#define INF 2000000000
#define pb push_back
#define DIM 805
struct punct {double x,y;} a[DIM>>1],v[DIM>>1];
double d[DIM>>1][DIM>>1],w[DIM*DIM>>2];
int c[DIM][DIM],f[DIM][DIM];
int l[DIM],r[DIM],t[DIM];
double ct[DIM][DIM];
vector <int> g[DIM];
bitset <DIM> viz;
double dst[DIM];
int n,s,e,sol;
queue <int> q;
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;
k=0;
for (i=1; i<=n; ++i)
for (j=1; j<=n; ++j)
d[i][j]=w[++k]=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));
}
int pair_up (int nod)
{
int i;
if (viz[nod])
return 0;
viz[nod]=1;
for (i=0; i<(int)g[nod].size (); ++i)
if (!r[g[nod][i]])
{
l[nod]=g[nod][i];
r[g[nod][i]]=nod;
return 1;
}
for (i=0; i<(int)g[nod].size (); ++i)
if (pair_up (r[g[nod][i]]))
{
l[nod]=g[nod][i];
r[g[nod][i]]=nod;
return 1;
}
return 0;
}
int cuplaj (double val)
{
int i,j,ok,cup;
for (i=1; i<=n; ++i)
{
g[i].clear ();
for (j=1; j<=n; ++j)
if (d[i][j]<=val)
g[i].pb (j);
}
cup=0;
memset (l,0,sizeof (l));
memset (r,0,sizeof (r));
do
{
ok=0;
viz.reset ();
for (i=1; i<=n; ++i)
if (!l[i] && pair_up (i))
{
ok=1;
++cup;
}
}
while (ok);
if (cup!=n)
return 0;
return 1;
}
int bellman_ford ()
{
int i,st,dr,nod;
for (i=s; i<=e; ++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]] && c[nod][g[nod][i]]-f[nod][g[nod][i]]>0)
{
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[e]!=INF)
return 1;
return 0;
}
double cuplaj_cost (double val)
{
int i,j,nrmin;
double cost=0;
s=0; e=n+n+1;
viz.reset ();
for (i=1; i<=n; ++i)
g[i].clear ();
for (i=1; i<=n; ++i)
{
for (j=1; j<=n; ++j)
if (d[i][j]<=val)
{
c[i][j+n]=1;
ct[i][j+n]=d[i][j];
ct[j+n][i]=-d[i][j];
g[i].pb (j+n);
g[j+n].pb (i);
}
c[s][i]=c[i+n][e]=1;
g[s].pb (i);
g[i].pb (s);
g[i+n].pb (e);
g[e].pb (i+n);
}
for (nrmin=INF; bellman_ford (); nrmin=INF)
{
for (i=e; i!=s; i=t[i])
nrmin=min (nrmin,c[t[i]][i]-f[t[i]][i]);
for (i=e; i!=s; i=t[i])
{
f[t[i]][i]+=nrmin;
f[i][t[i]]-=nrmin;
}
if (nrmin)
cost+=dst[e];
}
return cost;
}
void solve ()
{
int st,dr,mij;
sol=n*n;
sort (w+1,w+n*n+1);
for (st=1, dr=n*n; st<=dr; )
{
mij=(st+dr)/2;
if (cuplaj (w[mij]))
{
sol=mij;
dr=mij-1;
}
else
st=mij+1;
}
printf ("%lf %lf",w[sol],cuplaj_cost (w[sol]));
}
int main ()
{
freopen ("adapost.in","r",stdin);
freopen ("adapost.out","w",stdout);
read ();
init ();
solve ();
return 0;
}