1 files changed, 21 insertions, 0 deletions
diff --git a/content/graph/dijkstra.cpp b/content/graph/dijkstra.cpp
new file mode 100644
index 0000000..61c636d
--- /dev/null
+++ b/content/graph/dijkstra.cpp
@@ -0,0 +1,21 @@
+using path = pair<ll, int>; //dist, destination
+
+auto dijkstra(const vector<vector<path>>& adj, int start) {
+	priority_queue<path, vector<path>, greater<path>> pq;
+	vector<ll> dist(sz(adj), INF);
+	vector<int> prev(sz(adj), -1);
+	dist[start] = 0; pq.emplace(0, start);
+
+	while (!pq.empty()) {
+		auto [dv, v] = pq.top(); pq.pop();
+		if (dv > dist[v]) continue; // WICHTIG!
+
+		for (auto [du, u] : adj[v]) {
+			ll newDist = dv + du;
+			if (newDist < dist[u]) {
+				dist[u] = newDist;
+				prev[u] = v;
+				pq.emplace(dist[u], u);
+	}}}
+	return dist; //return prev;
+}