DMOJ · ccc09s4

CCC 2009 S4 Shop and Ship

This C++ solution uses shortest paths for CCC 2009 S4 Shop and Ship. Read the reasoning, inspect the code, or try your own test case below.

ccc09s4CCC 2009 S4Graphs & treesShortest pathsC++42 lines
Solution185of 248
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Approach

Shortest paths

Shop and Ship matches store prices plus shortest shipping cost to the destination.

Graphs & trees

Problem and code

Useful links.

Written by benbenyaojifen. Try the problem first, then compare your approach with the code.

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Implementation

S_4_Shop_and_Ship.cpp

C++

    #include <bits/stdc++.h>
    using namespace std;
    typedef long long ll;
    const int inf = 1e9;
    const long long INF = 1e17; //❄️
    int main() {
        ios::sync_with_stdio(0); cin.tie(0); 
        int n, m; cin >> n >> m;
        vector<vector<pair<int, int>>> adj(n + 1);
        for (int i = 0; i < m; i++) {
            int u, v, w; cin >> u >> v >> w;
            adj[u].emplace_back(w, v);
            adj[v].emplace_back(w, u);
        }
        unordered_map<int, int> store;
        int k; cin >> k;
        for (int  i = 0; i < k; i++) {
            int v, w; cin >> v >> w; 
            store[v] = w;
        }
        int d; cin >> d;
        vector<int> dist(n + 1, inf);
        dist[d] = 0;
        priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
        pq.push({0, d});
        while (!pq.empty()) {
            auto [w, u] = pq.top(); pq.pop();
            if (w > dist[u]) continue;
            for (auto[wt, v] : adj[u]) {
                if (dist[v] > w + wt) {
                    dist[v] = w + wt;
                    pq.push({dist[v], v});
                }
            }
        }
        int ans = inf;
        for (int i = 1; i <= n; i++) {
            if (store.count(i)) ans = min(ans, dist[i] + store[i]);
        }
        cout << ans << '\n';
        return 0;
    }
        

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