Submission #723469

#	Time	Username	Problem	Language	Result	Execution time	Memory
723469		n0sk1ll	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	242 ms	3424 KiB

merchant

#include <bits/stdc++.h>

#define FAST ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);cerr.tie(0)
#define mp make_pair
#define xx first
#define yy second
#define pb push_back
#define pf push_front
#define popb pop_back
#define popf pop_front
#define all(x) x.begin(),x.end()
#define ff(i,a,b) for (int i = a; i < b; i++)
#define fff(i,a,b) for (int i = a; i <= b; i++)
#define bff(i,a,b) for (int i = b-1; i >= a; i--)
#define bfff(i,a,b) for (int i = b; i >= a; i--)

using namespace std;
long double typedef ld;
unsigned int typedef ui;
long long int typedef li;
pair<int,int> typedef pii;
pair<li,li> typedef pli;
pair<ld,ld> typedef pld;
vector<vector<int>> typedef graph;
unsigned long long int typedef ull;
//const int mod = 998244353;
const int mod = 1000000007;







//Note to self: Check for overflow

int b[103][1003];
int s[103][1003];

li dist[103][103]; //shortest time
li profit[103][103]; //koliko profitira od u do v (na pocetku uzima strogo shortest path)

li g[103][103]; //ono cime svrsavamo zadatak

int main()
{
    FAST;

    int n,m,k; cin>>n>>m>>k;
    fff(i,1,n) fff(j,1,k) cin>>b[i][j]>>s[i][j];

    fff(i,1,n) fff(j,1,n) dist[i][j]=mod;
    while (m--)
    {
        int u,v,w; cin>>u>>v>>w;
        dist[u][v]=w;
    }

    fff(pivot,1,n)
    {
        ff(i,1,pivot) ff(j,1,pivot) dist[i][j]=min(dist[i][j],dist[i][pivot]+dist[pivot][j]);
        ff(i,1,pivot) ff(j,1,pivot) dist[i][pivot]=min(dist[i][pivot],dist[i][j]+dist[j][pivot]);
        ff(i,1,pivot) ff(j,1,pivot) dist[pivot][j]=min(dist[pivot][j],dist[pivot][i]+dist[i][j]);
        //za svaki slucaj ponavljamo
        ff(i,1,pivot) ff(j,1,pivot) dist[i][j]=min(dist[i][j],dist[i][pivot]+dist[pivot][j]);
        ff(i,1,pivot) ff(j,1,pivot) dist[i][pivot]=min(dist[i][pivot],dist[i][j]+dist[j][pivot]);
        ff(i,1,pivot) ff(j,1,pivot) dist[pivot][j]=min(dist[pivot][j],dist[pivot][i]+dist[i][j]);
    }

    fff(i,1,n) dist[i][i]=0;
    fff(i,1,n) fff(j,1,n) if (dist[i][j]>mod-4) dist[i][j]=0; //samo ne...

    fff(predmet,1,k)
        fff(i,1,n) fff(j,1,n)
            if (s[j][predmet]>-1 && b[i][predmet]>-1)
                profit[i][j]=max(profit[i][j],(li)(s[j][predmet]-b[i][predmet]));

    /*fff(i,1,n)
    {
        fff(j,1,n) cout<<dist[i][j]<<" ";
        cout<<endl;
    } cout<<endl;

    fff(i,1,n) fff(j,1,n)
    {
        cout<<"immediate profit: ("<<i<<","<<j<<") = "<<profit[i][j]<<endl;
    }*/



    int LL=0,RR=mod;
    while (RR-LL>1)
    {
        int delj=(LL+RR)/2;
        fff(i,1,n) fff(j,1,n)
        {
            if (dist[i][j]==0) g[i][j]=1e18;
            else g[i][j]=(li)delj*dist[i][j]-profit[i][j];
        }

        /*cout<<delj<<":"<<endl;
        fff(i,1,n)
        {
            fff(j,1,n) cout<<g[i][j]<<" ";
            cout<<endl;
        }*/

        ff(rep,0,3) fff(pivot,1,n) ff(_rep,0,2)
        {
            ff(i,1,pivot) ff(j,1,pivot) g[i][j]=min(g[i][j],g[i][pivot]+g[pivot][j]);
            ff(i,1,pivot) ff(j,1,pivot) g[i][pivot]=min(g[i][pivot],g[i][j]+g[j][pivot]);
            ff(i,1,pivot) ff(j,1,pivot) g[pivot][j]=min(g[pivot][j],g[pivot][i]+g[i][j]);
        }

        /*cout<<delj<<":"<<endl;
        fff(i,1,n)
        {
            fff(j,1,n) cout<<g[i][j]<<" ";
            cout<<endl;
        } cout<<endl;*/

        li sta=1e18;
        fff(i,1,n) sta=min(sta,g[i][i]);

        if (sta<=0) LL=delj;
        else RR=delj;
    }

    cout<<LL;
}

//Note to self: Check for overflow

/*

4 5 2
10 9 5 2
6 4 20 15
9 7 10 9
-1 -1 16 11
1 2 3
2 3 3
1 4 1
4 3 1
3 1 1

*/

• Subtask 1: 12 / 12
• Subtask 2: 21 / 21
• Subtask 3: 33 / 33
• Subtask 4: 34 / 34