Submission #487568

#TimeUsernameProblemLanguageResultExecution timeMemory
487568leakedTravelling Merchant (APIO17_merchant)C++14
0 / 100
1095 ms263680 KiB
#include <bits/stdc++.h>

#define f first
#define s second
#define vec vector
#define pb push_back
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define pw(x) (1LL<<(x))
#define sz(x) (int)(x).size()
#define fast_iati ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);

using namespace std;

template<class T> bool umin(T &a,const  T &b){return (a>b?a=b,1:0);}
template<class T> bool umax(T &a,const  T &b){return (a<b?a=b,1:0);}
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll>pll;
const int N=101;
const int K=1001;
const ll inf=1e18;
int b[N][K],s[N][K];
ll dst[N][N];
int mx[N][N];
vec<pii> g[N];
signed main(){
    fast_iati;
    int n,m,k;
    cin>>n>>m>>k;
    for(int i=0;i<n;i++){
        for(int j=0;j<k;j++){
            cin>>b[i][j]>>s[i][j];
        }
    }
    for(int i=0;i<n;i++){
        for(int j=0;j<n;j++){
            if(i==j ) continue;
            for(int t=0;t<k;t++){
                if(b[i][t]==-1 || s[j][t]==-1) continue;
                umax(mx[i][j],-b[i][t]+s[j][t]);
            }
        }
    }
    for(int i=0;i<n;i++){
        for(int j=0;j<n;j++) dst[i][j]=inf;
        dst[i][i]=0;
    }
    for(int i=0;i<m;i++){
        int v,u,w;
        cin>>v>>u>>w;--v;--u;
        umin(dst[v][u],(ll)w);
    }
    for(int t=0;t<n;t++){
        for(int i=0;i<n;i++){
            for(int j=0;j<n;j++){
                umin(dst[i][j],dst[i][t]+dst[t][j]);
            }
        }
    }
    auto check=[&](ll x){
        vec<ll> dp(n,-inf);
        priority_queue<pll>pq;
        for(int j=1;j<n;j++){
            if(dst[0][j]<=inf/x && umax(dp[j],mx[0][j]-1ll*x*dst[0][j]))
                pq.push({dp[j],j});
        }
        while(!pq.empty()){
            if(dp[0]>=0) return 1;
            auto v=pq.top();
            pq.pop();
            ll r=v.f;int u=v.s;
            if(r!=dp[u]) continue;
//            cout<<"ALO "<<dp[u]<<' '<<u<<endl;
            for(int j=0;j<n;j++){
                if(dst[u][j]<=inf/x && umax(dp[j],dp[u]+mx[u][j]-1ll*x*dst[u][j])){
                    pq.push({dp[j],j});
//                    cout<<"GOES TO j "<<u<<' '<<j<<' '<<mx[u][j]<<' '<<dp[j]<<endl;
                }
            }
        }
        return 0;
    };
//    cout<<check(3);
//    return 0;
    ll l=0,r=inf;
    while(l!=r){
        ll mid=(l+r)/2;
        if(check(mid)) l=mid+1;
        else r=mid;
    }
    cout<<l-1;
    return 0;
}
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