Purpose
Finds the shortest distance from a specified vertex to all other vertices. Assumes no negative edges.
Time Complexity
Depends
Usage
Declaration
auto res = dijkstra(g,s);Get the shortest distance from vertex s to vertex i using res[i].
Implementation
vector<int> dijkstra(DirectedGraph &_g,int s) { vector<int> d(_g.n, INF); priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> que; d[s] = 0; que.push(make_pair(0, s)); while (!que.empty()) { pair<int, int> p = que.top(); que.pop(); int v = p.second; if (d[v] < p.first) continue; for (auto e : _g.g[v]) { if (d[e.to] > d[v] + e.cost) { d[e.to] = d[v] + e.cost; que.push(make_pair(d[e.to], e.to)); } } } return d;}