programming-examples/c++/_Basic/MaxFlowDinic.cpp
2019-11-15 12:59:38 +01:00

88 lines
1.7 KiB
C++

#include <algorithm>
#include <vector>
#include <climits>
#include <iostream>
using namespace std;
const int maxnodes = 5000;
int nodes = maxnodes, src, dest;
int dist[maxnodes], q[maxnodes], work[maxnodes];
struct Edge {
int to, rev;
int f, cap;
};
vector<Edge> g[maxnodes];
// Adds bidirectional edge
void addEdge(int s, int t, int cap){
Edge a = {t, g[t].size(), 0, cap};
Edge b = {s, g[s].size(), 0, cap};
g[s].push_back(a);
g[t].push_back(b);
}
bool dinic_bfs() {
fill(dist, dist + nodes, -1);
dist[src] = 0;
int qt = 0;
q[qt++] = src;
for (int qh = 0; qh < qt; qh++) {
int u = q[qh];
for (int j = 0; j < (int) g[u].size(); j++) {
Edge &e = g[u][j];
int v = e.to;
if (dist[v] < 0 && e.f < e.cap) {
dist[v] = dist[u] + 1;
q[qt++] = v;
}
}
}
return dist[dest] >= 0;
}
int dinic_dfs(int u, int f) {
if (u == dest)
return f;
for (int &i = work[u]; i < (int) g[u].size(); i++) {
Edge &e = g[u][i];
if (e.cap <= e.f) continue;
int v = e.to;
if (dist[v] == dist[u] + 1) {
int df = dinic_dfs(v, min(f, e.cap - e.f));
if (df > 0) {
e.f += df;
g[v][e.rev].f -= df;
return df;
}
}
}
return 0;
}
int maxFlow(int _src, int _dest) {
src = _src;
dest = _dest;
int result = 0;
while (dinic_bfs()) {
fill(work, work + nodes, 0);
while (int delta = dinic_dfs(src, INT_MAX))
result += delta;
}
return result;
}
int main() {
int n = 3;
nodes = n;
int capacity[][3] = { { 0, 3, 2 }, { 0, 0, 2 }, { 0, 0, 0 } };
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
if (capacity[i][j] != 0)
addEdge(i, j, capacity[i][j]);
cout << (4 == maxFlow(0, 2)) << endl;
}