Pagini recente » Cod sursa (job #2373518) | Cod sursa (job #3357100) | Cod sursa (job #3337028) | Cod sursa (job #3142265) | Cod sursa (job #3357983)
#include <fstream>
#include <vector>
#include <queue>
#include <climits>
#include <algorithm>
using namespace std;
const int MAXN = 1005;
const int INF = 1e9;
ifstream fin("maxflow.in");
ofstream fout("maxflow.out");
int n, m;
int capacity[MAXN][MAXN];
int flow[MAXN][MAXN];
int parent[MAXN];
bool bfs() {
for (int i = 1; i <= n; i++) parent[i] = -1;
queue<int> q;
q.push(1);
parent[1] = 0;
while (!q.empty()) {
int u = q.front(); q.pop();
for (int v = 1; v <= n; v++) {
if (parent[v] == -1 && v != 1 && capacity[u][v] - flow[u][v] > 0) {
parent[v] = u;
q.push(v);
if (v == n) return true;
}
}
}
return false;
}
int edmonds_karp() {
int max_flow = 0;
while (bfs()) {
int path_flow = INF;
for (int v = n; v != 1; v = parent[v]) {
int u = parent[v];
path_flow = min(path_flow, capacity[u][v] - flow[u][v]);
}
for (int v = n; v != 1; v = parent[v]) {
int u = parent[v];
flow[u][v] += path_flow;
flow[v][u] -= path_flow;
}
max_flow += path_flow;
}
return max_flow;
}
int main() {
fin >> n >> m;
for (int i = 0; i < m; i++) {
int x, y, z;
fin >> x >> y >> z;
capacity[x][y] += z;
}
fout << edmonds_karp() << '\n';
fin.close();
fout.close();
return 0;
}