Submission #1159757

#	Time	Username	Problem	Language	Result	Execution time	Memory
1159757		countless	Travelling Merchant (APIO17_merchant)	C++20	0 / 100	57 ms	3304 KiB

merchant

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<vector<int>> vvi;
typedef vector<long long> vll;
typedef vector<vector<long long>> vvll;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef set<int> si;
typedef set<long long> sll;

const ll MOD = 998244353;
const ld EPS = 1e-12;

#define endl "\n"
#define sp <<" "<<
#define forn(i, n) for(ll i = 0; i < n; i++)
#define rforn(i, n) for(ll i = n; i >= 0; i--)
#define dbg(x) cout << #x << " = " << x << endl
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define INF 1e9+21
#define fast_io() ios_base::sync_with_stdio(false); cin.tie(NULL)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) ((ll)(x).size())

const int MAXN = 1005;

ll dist[MAXN][MAXN], profit[MAXN][MAXN], eff[MAXN][MAXN];

void solution() {
    ll n, m, k; cin >> n >> m >> k;

    vector<vector<pair<ll, ll>>> bs(n, vector<pair<ll, ll>>(k)); // haha bs
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < k; j++) {
            cin >> bs[i][j].first >> bs[i][j].second;
        }
    }

    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            dist[i][j] = INF;
        }
    }

    for (int i = 0; i < m; i++) {
        int v, w, t; cin >> v >> w >> t;
        v--; w--;
        dist[v][w] = t;
    }

    // dist between any two nodes
    for (int l = 0; l < n; l++) {
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                dist[i][j] = min(dist[i][j], dist[i][l] + dist[l][j]);
            }
        }
    }

    // profit between any two nodes
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            profit[i][j] = 0;
            for (int l = 0; l < k; l++) {
                if (bs[i][l].first == -1 || bs[j][l].second == -1) continue;
                profit[i][j] = max(profit[i][j], bs[j][l].second - bs[i][l].first);
            }
        }
    }

    // binary search max efficiency
    ll l = 0, r = 1e11+21;
    while (l < r) {
        ll mid = (l + r) / 2;
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                // eff[i][j] = min(mid * dist[i][j] - profit[i][j], (ll)INF);
                eff[i][j] = mid * min(dist[i][j], (ll)INF / mid) - profit[i][j];
            }
        }

        // floyd warshall again
        for (int kk = 0; kk < n; kk++) {
            for (int i = 0; i < n; i++) {
                for (int j = 0; j < n; j++) {
                    eff[i][j] = min(eff[i][j], eff[i][kk] + eff[kk][j]);
                }
            }
        }

        // for (int i = 0; i < n; i++) {
        //     for (int j = 0; j < n; j++) {
        //         cout << eff[i][j] << " ";
        //     }
        //     cout << endl;
        // }
        // cerr << l sp r sp mid << endl;

        bool flag = false;
        for (int i = 0; i < n; i++) {
            if (eff[i][i] <= 0) {
                flag = true;
                break;
            }
        }

        if (flag) {
            l = mid + 1;
        } else {
            r = mid;
        }
    }

    cout << r - 1 << endl;
    return;
}

signed main() {
    fast_io();

    solution();

    return 0;
}

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