Submission #200994

#TimeUsernameProblemLanguageResultExecution timeMemory
200994NordwayTravelling Merchant (APIO17_merchant)C++14
100 / 100
114 ms3320 KiB
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define x first
#define y second
#define pb push_back
#define mp make_pair
#define all(v) v.begin(),v.end()
#define sz(v) (int)v.size()
#define up_b upper_bound
#define low_b lower_bound
#define nl '\n'

using namespace std;
using namespace __gnu_pbds;

typedef long long ll;
typedef long double ld;

typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update>ordered_set;

const int N=101;
const int M=1001;
const int W=1e3+11;
const int inf=1e9;
const ll INF=1e18;
const ll mod=1e9+7;
const ld EPS=1e-9;

int b[N][M],s[N][M];
ll dist[N][N],adj[N][N];
int profit[N][N];

int main(){
  ios_base::sync_with_stdio(0);
  cin.tie(0),cout.tie(0);
  int n,m,K;
  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<=n;i++){
    for(int j=1;j<=n;j++){
      dist[i][j]=INF;
    }
    dist[i][i]=0;
  }
  for(int i=1;i<=m;i++){
    int u,v,w;
    cin>>u>>v>>w;
    dist[u][v]=w;
  }
  for(int k=1;k<=n;k++){
    for(int i=1;i<=n;i++){
      for(int j=1;j<=n;j++){
        dist[i][j]=min(dist[i][j],dist[i][k]+dist[k][j]);
      }
    }
  }
  for(int i=1;i<=n;i++){
    for(int j=1;j<=n;j++){
      for(int k=1;k<=K;k++){
        if(b[i][k]==-1||s[j][k]==-1)continue;
        profit[i][j]=max(profit[i][j],s[j][k]-b[i][k]);
      }
    }
  }
  int l=1,r=inf;
  int ans=0;
  while(l<=r){
    int mid=(l+r)/2;
    for(int i=1;i<=n;i++){
      for(int j=1;j<=n;j++){
        if(dist[i][j]==INF)adj[i][j]=INF;
        else adj[i][j]=dist[i][j]*1ll*mid-profit[i][j];
      }
      adj[i][i]=INF;
    }
    for(int k=1;k<=n;k++){
      for(int i=1;i<=n;i++){
        for(int j=1;j<=n;j++){
          adj[i][j]=min(adj[i][j],adj[i][k]+adj[k][j]);
        }
      }
    }
    int w=0;
    for(int i=1;i<=n;i++){
      if(adj[i][i]<=0)w=1;
    }
    if(w)ans=mid,l=mid+1;
    else r=mid-1;
  }
  cout<<ans;
}
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