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#include <bits/stdc++.h>
using namespace std;
const int NMAX = 10000;
int capacitate[NMAX + 1][NMAX + 1];
int flux[NMAX + 1][NMAX + 1];
int vis[NMAX + 1], p[NMAX + 1];
vector<int> G[NMAX + 1];
int n_total;
int bfs(int s, int d)
{
for (int i = 1; i <= n_total; i++)
{
vis[i] = 0;
p[i] = 0;
}
queue<int> q;
q.push(s);
vis[s] = 1;
while (!q.empty())
{
int nod = q.front();
q.pop();
for (auto vecin : G[nod])
{
if (!vis[vecin] && capacitate[nod][vecin] - flux[nod][vecin] > 0)
{
vis[vecin] = 1;
p[vecin] = nod;
q.push(vecin);
}
}
}
if (!vis[d])
{
return 0;
}
vector<int> path;
int x = d;
while (x != 0 && x != s)
{
path.push_back(x);
x = p[x];
}
path.push_back(s);
reverse(path.begin(), path.end());
int flow = 1e9;
for (int i = 0; i < path.size() - 1; i++)
{
int a = path[i];
int b = path[i + 1];
flow = min(flow, capacitate[a][b] - flux[a][b]);
}
for (int i = 0; i < path.size() - 1; i++)
{
int a = path[i];
int b = path[i + 1];
flux[a][b] += flow;
flux[b][a] -= flow;