Submission #699816

#	Time	Username	Problem	Language	Result	Execution time	Memory
699816		Spade1	Travelling Merchant (APIO17_merchant)	C++14	100 / 100	83 ms	4200 KiB

merchant

#include<bits/stdc++.h>
#define pii pair<int, int>
#define pII pair<pii, pii>
#define pll pair<long long, long long>
#define ll long long
#define ld long double
#define st first
#define nd second
#define pb push_back
#define INF INT_MAX
#define sz(x) (int)x.size()
using namespace std;

const int N = 110;
const int K = 1010;

ll dis[N][N], dis2[N][N], prf[N][N];
ll s[N][K], b[N][K];

void solve() {
    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)
            dis[i][j] = INF;

    for (int i = 1; i <= m; ++i) {
        int u, v, w; cin >> u >> v >> w;
        dis[u][v] = w;
    }

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

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

    ll l = 0, r = 1e9;
    while (l < r) {
        ll mid = (l+r+1)/2;
        for (int i = 1; i <= n; ++i)
            for (int j = 1; j <= n; ++j)
                dis2[i][j] = mid*dis[i][j] - prf[i][j];

        for (int k = 1; k <= n; ++k)
            for (int i = 1; i <= n; ++i)
                for (int j = 1; j <= n; ++j)
                    dis2[i][j] = min(dis2[i][j], dis2[i][k] + dis2[k][j]);
        bool y = 0;
        for (int i = 1; i <= n; ++i) if (dis2[i][i] <= 0) y = 1;
        if (y) l = mid;
        else r = mid-1;
    }
    cout << l << '\n';
}

int main() {
    ios_base::sync_with_stdio(0); cin.tie(NULL);
    int t = 1;
//    cin >> t;
    while (t--) {
        solve();
    }
}

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