Submission #907708

#	Time	Username	Problem	Language	Result	Execution time	Memory
907708		shezitt	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	128 ms	2348 KiB

merchant

#include<bits/stdc++.h>

using namespace std;

using ll = long long;
#define int ll 
#define ii pair<int,int>

const int N = 105;
const int K = 1010;
const int INF = LLONG_MAX / 2;

int buy[N][K];
int sell[N][K];

int n, m, k;

int dis[N][N];
int profit[N][N];
int ngraph[N][N];


void floyd_warshall(int adj[N][N]) {
    for(int i=1; i<=n; ++i){
        for(int j=1; j<=n; ++j){
            for(int x=1; x<=n; ++x){
                adj[j][x] = min(adj[j][x], adj[j][i] + adj[i][x]);
            }
        }
    }
}

signed main(){
    cin >> n >> m >> k;
    for(int i=1; i<=n; ++i){
        for(int j=1; j<=k; ++j){
            cin >> buy[i][j] >> sell[i][j];
        }
    }
    for(int i=1; i<=n; ++i){
        for(int j=1; j<=n; ++j){
            dis[i][j] = INF;
        }
    }
    for(int i=1; i<=m; ++i){
        int u, v, w;
        cin >> u >> v >> w;
        dis[u][v] = w;
    }

    floyd_warshall(dis);

    for(int i=1; i<=n; ++i){
        for(int j=1; j<=n; ++j){
            for(int l=1; l<=k; ++l){
                if(sell[j][l] != -1 && buy[i][l] != -1){
                    profit[i][j] = max(profit[i][j], sell[j][l] - buy[i][l]);
                }
            }
        }
    }

    int low = 1, high = 1e9;
    while(low <= high){
        int mid = (low + high) / 2;
        for(int i=1; i<=n; ++i){
            for(int j=1; j<=n; ++j){
                ngraph[i][j] = mid * min(INF / mid, dis[i][j]) - profit[i][j];
            }
        }

        floyd_warshall(ngraph);

        bool ok = 0;
        for(int i=1; i<=n; ++i){
            if(ngraph[i][i] <= 0){
                ok = 1;
            }
        }

        if(ok){
            low = mid+1;
        } else {
            high = mid-1;
        }

    }
    cout << high;
    return 0;
}

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