1 files changed, 51 insertions, 0 deletions
diff --git a/content/graph/dinicScaling.cpp b/content/graph/dinicScaling.cpp
new file mode 100644
index 0000000..f4e833a
--- /dev/null
+++ b/content/graph/dinicScaling.cpp
@@ -0,0 +1,51 @@
+struct Edge {
+	int to, rev;
+	ll f, c;
+};
+
+vector<vector<Edge>> adj;
+int s, t;
+vector<int> pt, dist;
+
+void addEdge(int u, int v, ll c) {
+	adj[u].push_back({v, (int)sz(adj[v]), 0, c});
+	adj[v].push_back({u, (int)sz(adj[u]) - 1, 0, 0});
+}
+
+bool bfs(ll lim) {
+	dist.assign(sz(adj), -1);
+	dist[s] = 0;
+	queue<int> q({s});
+	while (!q.empty() && dist[t] < 0) {
+		int v = q.front(); q.pop();
+		for (Edge& e : adj[v]) {
+			if (dist[e.to] < 0 && e.c - e.f >= lim) {
+				dist[e.to] = dist[v] + 1;
+				q.push(e.to);
+	}}}
+	return dist[t] >= 0;
+}
+
+bool dfs(int v, ll flow) {
+	if (v == t) return true;
+	for (; pt[v] < sz(adj[v]); pt[v]++) {
+		Edge& e = adj[v][pt[v]];
+		if (dist[e.to] != dist[v] + 1) continue;
+		if (e.c - e.f >= flow && dfs(e.to, flow)) {
+			e.f += flow;
+			adj[e.to][e.rev].f -= flow;
+			return true;
+	}}
+	return false;
+}
+
+ll maxFlow(int source, int target) {
+	s = source, t = target;
+	ll flow = 0;
+	for (ll lim = (1LL << 62); lim >= 1; lim /= 2) {
+		while (bfs(lim)) {
+			pt.assign(sz(adj), 0);
+			while (dfs(s, lim)) flow += lim;
+	}}
+	return flow;
+}