#include
#include
#include
using namespace std;
const int INF = 1e9;
class Graph {
private:
vector> adj_list;
public:
Graph() {}
Graph(int n) {
adj_list.resize(n);
}
void add_edge(int a, int b) {
adj_list[a].push_back(b);
}
vector get_neighbours(int x) {
return adj_list[x];
}
};
class EdmnodKarpAlgorithm {
private:
int n;
Graph adj;
vector> capacity;
public:
EdmnodKarpAlgorithm(int n, vector> capacity, Graph adj) {
this->n = n;
this->capacity = capacity;
this->adj = adj;
}
int bfs(int S, int E, vector & parent) {
fill(parent.begin(), parent.end(), -1);
parent[S] = -2;
queue q;
q.push(S);
q.push(INF);
while(!q.empty()) {
int c = q.front();
q.pop();
int flow = q.front();
q.pop();
for(int neigh : adj.get_neighbours(c)) {
if(parent[neigh] == -1 and capacity[c][neigh]) {
parent[neigh] = c;
int new_flow = min(flow, capacity[c][neigh]);
if(neigh == E) {
return new_flow;
}
q.push(neigh);
q.push(new_flow);
}
}
}
return 0;
}
int max_flow(int S, int E) {
int flow = 0;
vector parent(this->n);
int tmp;
while(tmp = bfs(S, E, parent)) {
flow += tmp;
int b = E;
while(b != S) {
int prev = parent[b];
capacity[prev][b] -= tmp;
capacity[b][prev] += tmp;
b = prev;
}
}
return flow;
}
};
int main() {
int V = 6;
int graph[6][6] = { {0, 16, 13, 0, 0, 0},
{0, 0, 10, 12, 0, 0},
{0, 4, 0, 0, 14, 0},
{0, 0, 9, 0, 0, 20},
{0, 0, 0, 7, 0, 4},
{0, 0, 0, 0, 0, 0}
};
Graph adj(6);
vector> capacity(6, vector(6, 0));
for(int i = 0; i < 6; i++) {
for(int j = 0; j < 6; j++) {
capacity[i][j] = graph[i][j];
if(graph[i][j] != 0) {
adj.add_edge(i, j);
}
}
}
EdmnodKarpAlgorithm edka(6, capacity, adj);
cout << edka.max_flow(0, 5) << endl;
return 0;
}