Submission #363970

#TimeUsernameProblemLanguageResultExecution timeMemory
363970bigDuckTravelling Merchant (APIO17_merchant)C++14
33 / 100
64 ms3180 KiB
#include<bits/stdc++.h>
using namespace std;
#define INIT  ios_base :: sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define mp make_pair
#define pb push_back
#define ft first
#define sc second
#define ll long long
#define pii pair<int, int>
#define count_bits __builtin_popcount
#define int ll

int t, n, m, k, a[300010], q, l, r;


int b[101][1001], s[101][1001];
int c[101][101];








int d[101][101];
int p[101][101];
vector<pii> g[101];



void dijkstra(int s){
    multiset<pii> ms;
    ms.insert({0, s});
    d[s][s]=0;
    bool v[101]; memset(v, 0, sizeof(v));
    while(!ms.empty()){
        int nod=(ms.begin())->sc; ms.erase(ms.begin());
        v[nod]=true;
        for(pii pr:g[nod]){
            int u=pr.ft, c=pr.sc;
            if(v[u]){continue;}
            auto it=ms.find({d[s][u], u});
            if(it==ms.end()){
                d[s][u]=d[s][nod]+c;
                ms.insert({d[s][u], u});
            }
            else{
                if(d[s][u]>(d[s][nod]+c) ){
                    ms.erase(it);
                    d[s][u]=d[s][nod]+c;
                    ms.insert({d[s][u], u});
                }
            }
        }
    }
}


int g1[101][101];
int inf=(1e18)*2;
void build(int r){
for(int i=1; i<=n; i++){
    for(int j=1; j<=n; j++){
        g1[i][j]=inf;
    }
}
for(int i=1; i<=n; i++){
    g1[i][i]=0;
}


for(int i=1; i<=n; i++){
    for(int j=1; j<=n;j++){
        if(c[i][j]>0){
                if( (c[i][j]>d[i][j]) && (d[i][j]>0) ){c[i][j]=min(d[i][j], c[i][j]);}
            g1[i][j]=r*c[i][j]-p[i][j];
        }
    }
}

}






vector<int> g2[101];
int v2[101];
bool dfs(int s){
    v2[s]=1;
    bool b=false;
    for(int u:g2[s]){
        if(v2[u]==1){ v2[s]=-1; return true;}
        if(v2[u]==-1){continue;}
        b=(b||dfs(u));
    }
    v2[s]=-1;
    return b;
}





bool BellmanFord(int r){
    build(r);
    for(int k=1; k<=n; k++){
        for(int i=1; i<=n; i++){
            for(int j=1; j<=n; j++){
                    g1[i][j]=min(g1[i][j], g1[i][k]+g1[k][j]);
            }
        }
    }
    bool exists=false;
    for(int i=1; i<=n; i++){

        for(int j=1; j<=n; j++){
            if(j!=i){
                if( (g1[i][j]+g1[j][i])<=g1[i][i] ){
                    exists=true;
                }
            }
        }
    }
    return exists;
}



int32_t main(){
INIT
cin>>n>>m>>k;
for(int i=1; i<=n; i++){
    for(int j=1; j<=k; j++){
        cin>>b[i][j]>>s[i][j];
    }
}
for(int i=1; i<=m; i++){
    int u, v, C;
    cin>>u>>v>>C;
    c[u][v]=C;
    g[u].pb({v, C});
}

for(int i=1;i<=n; i++){
    dijkstra(i);
}
for(int i=1; i<=n; i++){
    for(int j=1; j<=n; j++){
        //p[i][j]=-1;
        if(c[i][j]>0){
            for(int l=1; l<=k; l++){
                if( (s[j][l]>=0) && (b[i][l]>=0) ){
                p[i][j]=max(p[i][j], s[j][l]-b[i][l]);
                }
            }
        }
    }
}



int l=1, r=1000000001, m=(l+r)>>1ll;

while(l<r){
    m=(l+r)>>1ll;
    if(BellmanFord(m)){
        l=m+1;
    }
    else{
        r=m;
    }
    m=(l+r)>>1ll;
}

cout<<(m-1);
//cout<<BellmanFord(m)<<"\n";
return 0;
}
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