Pagini recente » Cod sursa (job #1172372) | Cod sursa (job #689740) | Cod sursa (job #2123223) | Cod sursa (job #232469) | Cod sursa (job #2965846)
#include <bits/stdc++.h>
using namespace std;
ifstream fin("maxflow.in");
ofstream fout("maxflow.out");
int n, m, x, y, flow, g[1001][1001], maxflow;
queue <int> q;
bool viz[1001];
int parent[1001];
void read()
{
fin >> n >> m;
for(int i=0; i<m; i++)
{
fin >> x >> y >> flow;
g[x][y] = flow;
}
}
int bfs()
{
/// folosim bfs pentru a verifica daca mai este un drum de la s la t
/// folosim vectorul parent pentru a putea reconstrui drumul
/// reinitializam tot
while (!q.empty())
q.pop();
for (int i=0; i<=n; i++)
{
parent[i] = 0;
viz[i] = false;
}
q.push(1);
viz[1] = 1;
/// bfs
while (!q.empty())
{
auto nod = q.front();
q.pop();
/// n reprezinta destinatia deci returnam true deoarece am gasit drum
if (nod == n) return true;
for (int i=1; i<=n; i++)
if (!viz[i] && g[nod][i] > 0)
{
q.push(i);
parent[i] = nod;
viz[i] = true;
}
}
return false;
}
inline int flux()
{
/// cat timp avem drumuri
while (bfs())
{
for (int i=1; i<n; i++)
{
if (g[i][n] > 0 && viz[i])
{
int leaf = i;
/// construim drumul
vector <int> path;
path.push_back(n);
path.push_back(leaf);
int nod = parent[leaf];
if (nod == 1)
path.push_back(nod);
else
{
while (nod != 1)
{
path.push_back(nod);
nod = parent[nod];
}
path.push_back(1);
}
reverse(path.begin(), path.end());
/// dupa ce am gasit drumul, vedem care este flow-ul minim si adaugam la rezultatul final
int flow_minim = INT_MAX;
for(int j=0; j<path.size()-1; j++)
flow_minim = min(flow_minim, g[path[j]][path[j+1]]);
maxflow += flow_minim;
/// pt reconstruirea flow-ului
/// scadem flow_minim din muchiile inspre destinatie si adunam pe muchiile in directie opusa
for(int j=0; j<path.size()-1; j++)
{
g[path[j]][path[j+1]] -= flow_minim;
g[path[j+1]][path[j]] += flow_minim;
}
}
}
}
return maxflow;
}
int main()
{
read();
fout << flux();
return 0;
}