Submission #264015

#TimeUsernameProblemLanguageResultExecution timeMemory
264015defineTravelling Merchant (APIO17_merchant)C++17
100 / 100
573 ms2168 KiB
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define rep(i,n) for(int i=0;i<n;i++)
#define REP(i,n) for(int i=1;i<n;i++)
#define rev(i,n) for(int i=n-1;i>=0;i--)
#define all(v) v.begin(),v.end()
#define P pair<int,int>
#define len(s) (int)s.size()
 
template<class T> inline bool chmin(T &a, T b){
	if(a>b){a=b;return true;}
	return false;
}
template<class T> inline bool chmax(T &a, T b){
	if(a<b){a=b;return true;}
	return false;
}
constexpr int mod = 1e9+7;
constexpr long long inf = 3e18;
 
int N,M,K;
int sell[105][1005],buy[105][1005];
int dis[105][105];
int ben[105][105];
bool isOk(int x){
	rep(i,N){
		rep(j,N){
			if(i!=j){
				int mx=0;
				rep(k,K){
					if(sell[j][k]==-1||buy[i][k]==-1)continue;
					chmax(mx,sell[j][k]-buy[i][k]);
				}
				if(inf/x<dis[i][j])ben[i][j]=-inf;
				else ben[i][j]=mx-x*dis[i][j];
			}else ben[i][j]=-inf;
		}
	}
	rep(k,N)rep(i,N)rep(j,N)chmax(ben[i][j],ben[i][k]+ben[k][j]);
	bool flag=false;
	rep(i,N)flag|=ben[i][i]>=0;
	return flag;
}
signed main(){
	cin.tie(0);ios::sync_with_stdio(false);
	cin>>N>>M>>K;
	rep(i,N)rep(j,K)cin>>buy[i][j]>>sell[i][j];
	rep(i,N)rep(j,N)if(i!=j)dis[i][j]=inf;
	rep(i,M){
		int a,b,c;cin>>a>>b>>c;a--;b--;
		chmin(dis[a][b],c);
	}
	rep(k,N)rep(i,N)rep(j,N)chmin(dis[i][j],dis[i][k]+dis[k][j]);
	int ok=0,ng=1e11;
	while(ng-ok>1){
		int mid=(ok+ng)/2;
		if(isOk(mid))ok=mid;
		else ng=mid;
	}
	cout<<ok<<endl;
}
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