Submission #399019

#	Time	Username	Problem	Language	Result	Execution time	Memory
399019		Osama_Alkhodairy	Travelling Merchant (APIO17_merchant)	C++17	100 / 100	100 ms	4232 KiB

merchant

#include <bits/stdc++.h>
using namespace std;
#define finish(x) return cout << x << endl, 0
#define ll long long

const int N = 101;
const int K = 1001;
const ll INF = (ll)1e18;

int n, m, k;
ll B[N][K], S[N][K], mx[N][N], dist[N][N];

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    for(int i = 1 ; i < N ; i++){
        for(int j = 1 ; j < N ; j++){
            dist[i][j] = INF;
        }
    }
    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 = 0 ; i < m ; i++){
        int x, y, z;
        cin >> x >> y >> z;
        dist[x][y] = z;
    }
    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 p = 1 ; p <= k ; p++){
                if(B[i][p] != -1 && S[j][p] != -1){
                    mx[i][j] = max(mx[i][j], S[j][p] - B[i][p]);
                }
            }
        }
    }
    int l = 0, r = (int)1e9;
    while(l <= r){
        int mid = (l + r) / 2;
        vector <vector <ll> > c(n + 1, vector <ll>(n + 1));
        for(int i = 1 ; i <= n ; i++){
            for(int j = 1 ; j <= n ; j++){
                c[i][j] = mx[i][j] - (dist[i][j] == INF ? INF : dist[i][j] * mid);
            }
        }
        for(int k = 1 ; k <= n ; k++){
            for(int i = 1 ; i <= n ; i++){
                for(int j = 1 ; j <= n ; j++){
                    c[i][j] = max(c[i][j], c[i][k] + c[k][j]);
                }
            }
        }
        bool ok = 0;
        for(int i = 1 ; i <= n ; i++){
            if(c[i][i] >= 0) ok = 1;
        }
        if(ok) l = mid + 1;
        else r = mid - 1;
    }
    cout << r << endl;
}

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