Submission #956385

#TimeUsernameProblemLanguageResultExecution timeMemory
956385VMaksimoski008Travelling Merchant (APIO17_merchant)C++14
100 / 100
96 ms1572 KiB
#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);
    }

    for(k=1; k<=n; k++)
        for(i=1; i<=n; i++)
            for(j=1; j<=n; j++) M[i][j] = min(M[i][j], M[i][k] + M[k][j]);

    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];

        for(k=1; k<=n; k++)
            for(i=1; i<=n; i++)
                for(j=1; j<=n; j++) M2[i][j] = min(M2[i][j], M2[i][k] + M2[k][j]);

        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;
}
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