Submission #1163164

#	Time	Username	Problem	Language	Result	Execution time	Memory
1163164		thinknoexit	Travelling Merchant (APIO17_merchant)	C++20	0 / 100	90 ms	2120 KiB

merchant

#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 103;
const int K = 1010;
const ll INF = 1e18;
ll b[N][K], s[N][K];
ll dist[N][N], dis[N][N], diss[N][N];
int main() {
    cin.tie(nullptr)->sync_with_stdio(false);
    int n, m, k;
    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 = 1;i <= n;i++) {
        for (int j = 1;j <= n;j++) {
            dist[i][j] = INF;
        }
    }
    for (int i = 1;i <= m;i++) {
        int u, v;
        ll t;
        cin >> u >> v >> t;
        dist[u][v] = min(dist[u][v], t);
    }
    for (int k = 1;k <= n;k++) {
        for (int i = 1;i <= n;i++) {
            for (int j = 1;j <= n;j++) {
                if (dist[i][j] > dist[i][k] + dist[k][j]) {
                    dist[i][j] = dist[i][k] + dist[k][j];
                }
            }
        }
    }
    for (int i = 1;i <= n;i++) {
        for (int j = 1;j <= n;j++) {
            ll mx = -INF;
            for (int l = 1;l <= k;l++) {
                if (b[i][l] == -1 || s[j][l] == -1) continue;
                mx = max(mx, s[j][l] - b[i][l]);
            }
            diss[i][j] = mx;
        }
    }
    ll l = 0, r = 1e9 + 1;
    while (l + 1 < r) {
        ll mid = (l + r) / 2;
        for (int i = 1;i <= n;i++) {
            for (int j = 1;j <= n;j++) {
                dis[i][j] = mid * min(INF / mid, dist[i][j]) - diss[i][j];
            }
        }
        for (int k = 1;k <= n;k++) {
            for (int i = 1;i <= n;i++) {
                for (int j = 1;j <= n;j++) {
                    if (dis[i][j] > dis[i][k] + dis[k][j]) {
                        dis[i][j] = dis[i][k] + dis[k][j];
                    }
                }
            }
        }
        bool ch = 0;
        for (int i = 1;i <= n;i++) {
            if (dis[i][i] <= 0) ch = 1;
        }
        if (ch) l = mid;
        else r = mid - 1;
    }
    cout << l << '\n';
    return 0;
}
/*
4 5 2
10 9 5 2
6 4 20 15
9 7 10 9
-1 -1 16 11
1 2 3
2 3 3
1 4 1
4 3 1
3 1 1
*/

• Subtask 1: 0 / 12
• Subtask 2: 0 / 21
• Subtask 3: 0 / 33
• Subtask 4: 0 / 34