Submission #884698

#TimeUsernameProblemLanguageResultExecution timeMemory
884698Requiemtimeismoney (balkan11_timeismoney)C++17
100 / 100
801 ms1364 KiB
#include<bits/stdc++.h>
#define int long long
#define pb push_back
#define fast ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
#define MOD 1000000007
#define INF 1e18
#define fi first
#define se second
#define endl "\n"
#define FOR(i,a,b) for(int i=a;i<=b;i++)
#define FORD(i,a,b) for(int i=a;i>=b;i--)
#define sz(a) ((int)(a).size())
#define pi 3.14159265359
#define TASKNAME ""
template<typename T> bool maximize(T &res, const T &val) { if (res < val){ res = val; return true; }; return false; } 
template<typename T> bool minimize(T &res, const T &val) { if (res > val){ res = val; return true; }; return false; } 
using namespace std; 
typedef pair<int,int> ii; 
typedef pair<int,ii> iii; 
typedef vector<int> vi; 
const int MAXN = 2e2 + 9;
vector<ii> ValidEdge;
int n,m;
int sumtime = 0, sumcost = 0, numcmp;
struct DSU{
    vector<int> par,ranking;
    DSU(int n = 0){
        par.resize(n+1);
        ranking.resize(n+1,1);
        iota(par.begin(),par.end(),0);
    }
    int root(int u){
        if (par[u] == u) return u;
        else return par[u] = root(par[u]);
    }

    bool unite(int u,int v){
        u = root(u);
        v = root(v);
        if (u != v){
            if (ranking[u] <= ranking[v]) swap(u,v);
            ranking[u] += ranking[v];
            par[v] = u;
            return true;
        }
        return false;
    }
};


struct Edge{
    int u,v,w;
    ii TimeCost;
    Edge(int _u = 0,int _v = 0,int _w = 0, ii _TimeCost = {0,0}): u(_u), v(_v), w(_w), TimeCost(_TimeCost) {}
    Edge(int _u = 0,int _v = 0, ii _TimeCost = {0,0}): u(_u), v(_v), TimeCost(_TimeCost) {}
};
typedef pair<ii,vector<Edge>> MST;
vector<Edge> Link,weight;
vector<Edge> e;
ii kruskal(vector<Edge> &edge, bool printed){
    DSU DSU(n);
    int t = 0, c = 0;
    for(auto e: edge){
        if (DSU.unite(e.u,e.v)){
            t += e.TimeCost.fi;
            c += e.TimeCost.se;
            if (printed) cout<<e.u<<' '<<e.v<<endl;
        }
    }
    return {t,c};
}
ii operator - (const ii &a, const ii &b){
    return ii(a.fi - b.fi, a.se - b.se);
}
int ccw(ii a,ii b,ii c){
    b = b - a;
    c = c - a;
    return b.fi * c.se - c.fi * b.se;
}
ii ans, tr1, tr2;
void update(ii &ans,ii t,ii A, ii B){
    if (ans.fi * ans.se > t.fi * t.se){
        ans = t;
        tr1 = A;
        tr2 = B;
    }
}
bool cmp(Edge a,Edge b){
    return a.w < b.w;
}
main() 
{ 
    fast; 
   if (fopen(TASKNAME".inp","r")){
        freopen(TASKNAME".inp","r",stdin); 
        freopen(TASKNAME".out","w",stdout); 
   } 
   cin>>n>>m;
   for(int i=1;i<=m;i++){
       int u,v,t,c;
       cin>>u>>v>>t>>c;
       Link.pb(Edge(u,v,{t,c}));
   }
   for(auto &e: Link){
       e.w = e.TimeCost.fi;
   }
   sort(Link.begin(),Link.end(),cmp);
   ii A = kruskal(Link,0);
   for(auto &e: Link){
       e.w = e.TimeCost.se;
   }
   sort(Link.begin(),Link.end(),cmp);
   ii B = kruskal(Link,0);   
   queue<pair<ii,ii>> q;
   weight = Link;
   q.push({A,B});
   ii ans = {1e9,1e9};
   update(ans, A, ii(-1,-1), ii(-1,-1));
   update(ans, B, ii(-1,-1), ii(-1,-1));
   while(!q.empty()){
       ii A = q.front().fi;
       ii B = q.front().se;
       q.pop();
       weight.clear();
       for(int i=0;i<Link.size();i++){
           Link[i].w = Link[i].TimeCost.se * (B.fi - A.fi) - Link[i].TimeCost.fi * (B.se - A.se);
       }
       sort(Link.begin(),Link.end(),cmp);
       ii P = kruskal(Link,0);
       update(ans, P, A, B);
       if (ccw(A,B,P) >= 0) continue;
       q.push({A,P});
       q.push({P,B});
   }
   if (ans == A){
       cout<<ans.fi<<' '<<ans.se<<endl;
       for(int i=0;i<Link.size();i++){
           Link[i].w = Link[i].TimeCost.fi;
       }
       sort(Link.begin(),Link.end(),cmp);
       kruskal(Link,1);
   }
   else if (ans == B){
       cout<<ans.fi<<' '<<ans.se<<endl;
       for(int i=0;i<Link.size();i++){
           Link[i].w = Link[i].TimeCost.se;
       }
       sort(Link.begin(),Link.end(),cmp);
       kruskal(Link,1);
   }
   else{
       cout<<ans.fi<<' '<<ans.se<<endl;
       for(int i=0;i<Link.size();i++){
           Link[i].w = Link[i].TimeCost.se * (tr2.fi - tr1.fi) - Link[i].TimeCost.fi * (tr2.se - tr1.se);
       }
       sort(Link.begin(),Link.end(),cmp);
       kruskal(Link,1);
   }
} 
/*
Ta can tim diem phai nhat so voi AB.
de tam giac co dien tich lon nhat.
-2ABP = AB x AP = (xB - xA) * (yP - yA) - (xP - xA) * (yB - yA)
                = xB * yP - xB * yA - xA * yP - xP * yB + xP * yA + xA * yB
                = yP * (xB - xA) - xP * (yB - yA);
*/
/*
Nhan xet la chi co 1 so so dinh thuc su dang can nhac.

*/

Compilation message (stderr)

timeismoney.cpp:91:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   91 | main()
      | ^~~~
timeismoney.cpp: In function 'int main()':
timeismoney.cpp:125:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<Edge>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  125 |        for(int i=0;i<Link.size();i++){
      |                    ~^~~~~~~~~~~~
timeismoney.cpp:137:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<Edge>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  137 |        for(int i=0;i<Link.size();i++){
      |                    ~^~~~~~~~~~~~
timeismoney.cpp:145:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<Edge>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  145 |        for(int i=0;i<Link.size();i++){
      |                    ~^~~~~~~~~~~~
timeismoney.cpp:153:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<Edge>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  153 |        for(int i=0;i<Link.size();i++){
      |                    ~^~~~~~~~~~~~
timeismoney.cpp:95:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   95 |         freopen(TASKNAME".inp","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
timeismoney.cpp:96:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   96 |         freopen(TASKNAME".out","w",stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
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