Submission #775188

#TimeUsernameProblemLanguageResultExecution timeMemory
775188gagik_2007Travelling Merchant (APIO17_merchant)C++17
0 / 100
14 ms596 KiB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define ff first
#define ss second

ll ttt;
const ll INF=1e18;
const ll MOD=1e9+7;
const ll N=107;
const ll K=1007;
ll n,m,k;
vector<int>g[N],rg[N];
vector<int>w[N];
vector<int>order;
bool tsused[N];
bool sccused[N];
vector<int>comp[N];
int compind[N];
ll b[K][N],s[K][N];
ll maxval[N];
ll dist[N][N];

void tsdfs(int v){
    tsused[v]=true;
    for(int to:g[v]){
        if(!tsused[to]){
            tsdfs(to);
        }
    }
    order.push_back(v);
}

void topsort(){
    for(int v=1;v<=n;v++){
        if(!tsused[v]){
            tsdfs(v);
        }
    }
    reverse(order.begin(),order.end());
}

void sccdfs(int c, int v){
    comp[c].push_back(v);
    compind[v]=c;
    sccused[v]=true;
    for(int to:g[v]){
        if(!sccused[to]){
            sccdfs(c,to);
        }
    }
}

void SCC(){
    topsort();
    for(int v=1;v<=n;v++){
        for(int to:g[v]){
            rg[to].push_back(v);
        }
    }
    int cur=1;
    for(int v=1;v<=n;v++){
        if(!sccused[v]){
            sccdfs(cur,v);
            cur++;
        }
    }
}

void floyd_warshall(){
    for(int p=1;p<=n;p++){
        for(int v=1;v<=n;v++){
            for(int u=1;u<=n;u++){
                dist[v][u]=min(dist[v][u],dist[v][p]+dist[p][u]);
            }
        }
    }
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    // freopen("output.txt","w",stdout);
    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 v=1;v<=n;v++){
        for(int u=1;u<=n;u++){
            dist[v][u]=MOD;
        }
    }
    for(int i=0;i<m;i++){
        int x,y,t;
        cin>>x>>y>>t;
        g[x].push_back(y);
        dist[x][y]=t;
    }
    floyd_warshall();
    SCC();
    ll ans=0;
    for(int i=1;i<=k;i++){
        for(int v=1;v<=n;v++){
            if(compind[v]==compind[1]){
                maxval[i]=max(maxval[i],(s[v][i]-b[1][i])/(dist[1][v]+dist[v][1]));
            }
        }
        ans=max(ans,maxval[i]);
    }
    cout<<ans<<endl;
}
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