Submission #890735

#	Time	Username	Problem	Language	Result	Execution time	Memory
890735		Dec0Dedd	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	112 ms	4180 KiB

merchant

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;

const int N = 110;
const int K = 1e3+10;
const ll INF = 1e18;

ll b[N][K], s[N][K], w[N][N], mxv[N][N], g2[N][N], n, m, k;

void floyd(ll g[N][N]) {
    for (int k=1; k<=n; ++k) {
        for (int i=1; i<=n; ++i) {
            for (int j=1; j<=n; ++j) g[i][j]=min(g[i][j], g[i][k]+g[k][j]);
        }
    }
}

void solve() {
    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 j=1; j<=n; ++j) w[i][j]=INF;
    }

    for (int i=1; i<=m; ++i) {
        ll a, b, x; cin>>a>>b>>x;
        w[a][b]=x;
    } floyd(w);

    for (int i=1; i<=n; ++i) {
        for (int j=1; j<=n; ++j) {
            for (int x=1; x<=k; ++x) {
                if (b[i][x] == -1 || s[j][x] == -1) continue;
                mxv[i][j]=max(mxv[i][j], s[j][x]-b[i][x]);
            }
        }
    }

    ll ans=0, l=1, r=1e9+10;
    while (l <= r) {
        ll md=(l+r)/2;

        for (int i=1; i<=n; ++i) {
            for (int j=1; j<=n; ++j) {
                g2[i][j]=-mxv[i][j]+md*min(w[i][j], INF/md);
            }
        } floyd(g2);

        bool ok=false;
        for (int i=1; i<=n; ++i) {
            if (g2[i][i] <= 0) ok=true;
        }

        if (ok) ans=md, l=md+1;
        else r=md-1;
    } cout<<ans<<"\n";
}

int main() {
    int t=1;
    while (t--) solve();
}

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