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Cod sursa(job #564178)
#include <stdio.h>
#include <math.h>
#include <string.h>
#include <vector>
using namespace std;
#define MAX_N 810
#define inf 1000000000
int n, m, s, d;
int viz[MAX_N], cuplaj[MAX_N];
double dmin, sol;
vector <int> G[MAX_N];
int improve;
int C[MAX_N][MAX_N], F[MAX_N][MAX_N];
double cost[MAX_N][MAX_N];
int tata[MAX_N], Q[MAX_N];
double D[MAX_N];
struct punct {
double x, y;
} A[MAX_N], B[MAX_N];
inline double dist(int p, int q) {
return sqrt((A[p].x - B[q].x) * (A[p].x - B[q].x) + (A[p].y - B[q].y) * (A[p].y - B[q].y));
}
void get_graph(double k) {
for (int i = 1; i <= n; i++)
vector <int> ().swap(G[i]);
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++)
if (dist(i, j) <= k)
G[i].push_back(j);
}
bool cupleaza(int x) {
if (viz[x])
return false;
viz[x] = 1;
for (vector <int>::iterator it = G[x].begin(); it != G[x].end(); ++it)
if (cuplaj[*it] == 0) {
cuplaj[*it] = x;
m++;
return true;
}
for (vector <int>::iterator it = G[x].begin(); it != G[x].end(); ++it)
if (cuplaj[*it] != x && cupleaza(cuplaj[*it])) {
cuplaj[*it] = x;
return true;
}
return false;
}
void get_dmin() {
double left = 0, right = 1000000;
for (int iterations = 1; iterations <= 50; iterations++) {
dmin = (left + right) / 2;
get_graph(dmin);
memset(cuplaj, 0, sizeof(cuplaj)); m = 0;
for (int i = 1; i <= n; i++) {
memset(viz, 0, sizeof(viz));
cupleaza(i);
}
if (m == n)
right = dmin;
else
left = dmin;
}
}
void build_flow_graph() {
s = 1; d = 2 * n + 2;
for (int i = 1; i <= d; i++)
vector <int> ().swap(G[i]);
for (int i = 1; i <= n; i++) {
G[s].push_back(i + 1); C[s][i + 1] = 1;
G[i + 1].push_back(s);
G[n + i + 1].push_back(d); C[n + i + 1][d] = 1;
G[d].push_back(n + i + 1);
}
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++)
if (dist(i, j) <= dmin) {
G[i + 1].push_back(n + j + 1); cost[i + 1][n + j + 1] = dist(i, j); C[i + 1][n + j + 1] = 1;
G[n + j + 1].push_back(i + 1); cost[n + j + 1][i + 1] = -dist(i, j);
}
}
double bf() {
int st = 0, dr = 1;
Q[1] = s; viz[s] = 1;
while (st != dr) {
st = st % d + 1;
int nod = Q[st];
for (vector <int>::iterator it = G[nod].begin(); it != G[nod].end(); ++it) {
int fiu = *it;
if (C[nod][fiu] > F[nod][fiu] && D[fiu] > D[nod] + cost[nod][fiu]) {
D[fiu] = D[nod] + cost[nod][fiu];
tata[fiu] = nod;
if (viz[fiu] == 0) {
dr = dr % d + 1;
Q[dr] = fiu;
viz[fiu] = 1;
}
}
}
viz[nod] = 0;
}
if (D[d] < inf) {
improve = 1;
int flux = inf;
for (int i = d; i != s; i = tata[i])
flux = min(flux, C[tata[i]][i] - F[tata[i]][i]);
for (int i = d; i != s; i = tata[i]) {
F[tata[i]][i] += flux;
F[i][tata[i]] -= flux;
}
return D[d];
}
return 0;
}
void solve() {
get_dmin();
build_flow_graph();
improve = 1;
while (improve) {
improve = 0;
for (int i = 1; i <= d; i++) {
D[i] = inf;
tata[i] = -1;
Q[i] = Q[0] = viz[i] = 0;
}
D[s] = 0;
sol += bf();
}
printf("%lf %lf\n", dmin, sol);
}
int main() {
freopen("adapost.in", "r", stdin);
freopen("adapost.out", "w", stdout);
scanf("%d", &n);
for (int i = 1; i <= n; i++)
scanf("%lf %lf", &A[i].x, &A[i].y);
for (int i = 1; i <= n; i++)
scanf("%lf %lf", &B[i].x, &B[i].y);
solve();
return 0;
}