제출 #1323571

#제출 시각아이디문제언어결과실행 시간메모리
1323571vaishakhv여행하는 상인 (APIO17_merchant)C++20
0 / 100
11 ms2024 KiB
// Source: https://usaco.guide/general/io

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define eb emplace_back

const ll cap = 101;
vector<pair<ll,ll>> adj[cap];
vector<pair<ll,ll>> radj[cap];
ll dist1[cap];
ll distto1[cap];
priority_queue<pair<ll,ll>> pq, revpq;

void normdijkstra(ll st){
    pq.push({0,st});
    dist1[st] = 0;
    while (!pq.empty()){
        auto [d, u] = pq.top(); pq.pop();
        d *= -1;
        for (auto [s, w]: adj[u]){
            if (dist1[u] + w < dist1[s]){
                dist1[s] = dist1[u]+w;
                pq.push({-dist1[s], s});
            }
        }
    }
}

void revdijkstra(ll st){
    revpq.push({0,st});
    distto1[st] = 0;
    while (!revpq.empty()){
        auto [d, u] = revpq.top(); revpq.pop();
        d *= -1;
        for (auto [s, w]: radj[u]){
            if (distto1[u]+w < distto1[s]){
                distto1[s] = distto1[u]+w;
                revpq.push({-distto1[s], s});
            }
        }
    }
}

int main() {
	ios::sync_with_stdio(0);
    cin.tie(0);

    ll n, m, k; cin >> n >> m >> k;
    vector<vector<ll>> b(n+1, vector<ll>(k));
    vector<vector<ll>> s(n+1, vector<ll>(k));

    fill(dist1, dist1+cap, 1e18);
    fill(distto1, distto1+cap, 1e18);

    for (ll i{}; i < n; i++){
        for (ll j{}; j < k; j++){
            cin >> b[i+1][j+1] >> s[i+1][j+1];
        }
    }

    for (ll i{}; i < m; i++){
        ll x, y, w; cin >> x >> y >> w;
        adj[x].eb(y, w);
        radj[y].eb(x, w);
    }

    normdijkstra(1);
    revdijkstra(1);

    ll ans = -1e18;
    for (ll i=2; i <= n; i++){
        for (ll j=1; j <= k; j++){
            if (s[i][j] == -1) continue;
            ans = max(ans, (s[i][j]-b[1][j])/(dist1[i]+distto1[i]));
        }
    }

    cout << ans;
}
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