Cod sursa(job #2448099)

Utilizator CharacterMeCharacter Me CharacterMe Data 15 august 2019 18:35:21
Problema Adapost Scor 12
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 3.63 kb
#include <bits/stdc++.h>
#define pdd pair<double, double>
#define pdi pair<double, int>
#define pii pair<int, int>
#define inf 1000000000
///N=400
using namespace std;
///
int n, i, j, k, s, d, cnt, l, r, mid;
int flow[801][801], last[801];
bool inq[805];
double outone, outall;
double cost[801][801], dmin[801];
pdd plist[801];
pair<double, pii> dlist[801];
vector<int> graph[805];
queue<int> q;
///
void read();
void solve();
void write();
int CM();
bool dfs(int node);
bool refresh(int ind, bool ult);
void addedge(int i, int j, double c);
int main()
{
    read();
    solve();
    write();
    return 0;
}
void read(){
    freopen("adapost.in", "r", stdin);
    scanf("%d", &n);
    for(int i=1; i<=2*n; ++i) scanf("%lf%lf", &plist[i].first, &plist[i].second);
    fclose(stdin);
    return;
}
void solve(){
    s=0, d=2*n+1;
    for(int i=1; i<=n; ++i)
    for(int j=n+1; j<=2*n; ++j){
        pdd node1=plist[i], node2=plist[j];
        double dist=sqrt((node1.first-node2.first)*(node1.first-node2.first)+(node1.second-node2.second)*(node1.second-node2.second));
        dlist[++cnt].first=dist;
        dlist[cnt].second={i, j};
    }
    sort(dlist+1, dlist+n*n+1);
    l=1; r=n*n;
    while(r-l>1){
        mid=(l+r)/2;
        if(refresh(mid, false)) r=mid;
        else l=mid;
    }
    refresh(r, true);
    outone=dlist[r].first;
    while(true){
        for(int i=s; i<=d; ++i) last[i]=-1, dmin[i]=inf, inq[i]=false;
        dmin[s]=0.0;
        q.push(s); inq[s]=true;
        while(!q.empty()){
            int node=q.front(); q.pop(); inq[node]=false;
            if(node==d) continue;
            for(auto next:graph[node]){
                if(!flow[node][next]) continue;
                double nextc=dmin[node]+cost[node][next];
                if(nextc<dmin[next]){
                    dmin[next]=nextc;
                    last[next]=node;
                    if(!inq[next]){
                        q.push(next);
                        inq[next]=true;
                    }
                }
            }
        }
        if(dmin[d]==inf) break;
        for(int p=d; p!=s; p=last[p]){
            --flow[last[p]][p];
            ++flow[p][last[p]];
            outall+=cost[last[p]][p];
        }
    }
    return;
}
void write(){
    freopen("adapost.out", "w", stdout);
    printf("%.5f %.5f", outone, outall);
    return;
}
int CM(){
    for(int i=1; i<=2*n; ++i) dmin[i]=last[i]=0;
    bool done; int nr=0;
    do{
        done=false;
        for(int i=1; i<=n; ++i) inq[i]=false;
        for(int i=1; i<=n; ++i) if(!dmin[i] && dfs(i)) {done=true; ++nr;}
    }while(done);
    return nr;
}
bool dfs(int node){
    if(inq[node]) return false;
    inq[node]=true;
    for(auto next:graph[node]) if(!last[next]){
        last[next]=node;
        dmin[node]=next;
        return true;
    }
    for(auto next:graph[node]) if(dfs(last[next])){
        last[next]=node;
        dmin[node]=next;
        return true;
    }
    return false;
}
bool refresh(int ind, bool ult){
    for(int i=1; i<=n; ++i) graph[i].clear();
    for(int i=1; i<=ind; ++i) {
        if(!ult)graph[dlist[i].second.first].push_back(dlist[i].second.second);
        else{
            addedge(s, dlist[i].second.first, 0);
            addedge(dlist[i].second.second, d, 0);
            addedge(dlist[i].second.first, dlist[i].second.second, dlist[i].first);
        }
    }
    if(!ult) return CM()==n;
    return true;
}
void addedge(int i, int j, double c){
    graph[i].push_back(j);
    graph[j].push_back(i);
    cost[i][j]=c;
    cost[j][i]=-c;
    flow[i][j]=1;
    return;
}