Submission #956387

#	Time	Username	Problem	Language	Result	Execution time	Memory
956387		VMaksimoski008	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	96 ms	1464 KiB

merchant

#include <bits/stdc++.h>
using namespace std;
using ll = long long;

int P[505][505], n, m, K, i, j, k;

int main() {
    cin >> n >> m >> K;

    vector<vector<ll> > M(n+1, vector<ll>(n+1, 1e16));
    int B[n+1][K], S[n+1][K];

    for(i=1; i<=n; i++)
        for(j=0; j<K; j++) cin >> B[i][j] >> S[i][j];

    for(i=0; i<m; i++) {
        int a, b, c;
        cin >> a >> b >> c;
        M[a][b] = min(M[a][b], 1ll * c);
    }

    auto F = [&](vector<vector<ll> > &D) {
        for(k=1; k<=n; k++)
            for(i=1; i<=n; i++)
                for(j=1; j<=n; j++) D[i][j] = min(D[i][j], D[i][k] + D[k][j]);
    };

    F(M);

    for(i=1; i<=n; i++)
        for(j=1; j<=n; j++)
            for(k=0; k<K; k++)
                if(S[j][k] != -1 && B[i][k] != -1) P[i][j] = max(P[i][j], S[j][k] - B[i][k]);

    ll l=1, r=1e9, ans=0;
    while(l <= r) {
        ll mid = (l + r) / 2;
        vector<vector<ll> > M2(n+1, vector<ll>(n+1, 1e16));
        for(i=1; i<=n; i++)
            for(j=1; j<=n; j++) if(M[i][j] < 1e16) M2[i][j] = mid * M[i][j] - P[i][j];

        F(M2);
        
        bool ok = 0;
        for(i=1; i<=n; i++)
            if(M2[i][i] <= 0) ok = 1;

        if(ok) ans = mid, l = mid + 1;
        else r = mid - 1;
    }

    cout << ans << '\n';
    return 0;
}

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