Cod sursa(job #2516241)

Utilizator GBearUrsu Ianis-Vlad GBear Data 30 decembrie 2019 19:39:34
Problema Flux maxim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 2.44 kb
#include<bits/stdc++.h>
using namespace std;

struct Edge
{
    int v ;
    int flow ;
    int C;
    int rev ;
};


class Graph
{
    int V;
    int *level ;
    vector< Edge > *adj;
public :
    Graph(int V)
    {
        adj = new vector<Edge>[V];
        this->V = V;
        level = new int[V];
    }

    void addEdge(int u, int v, int C)
    {
        Edge a{v, 0, C, (int)adj[v].size()};
        Edge b{u, 0, 0, (int)adj[u].size()};

        adj[u].push_back(a);
        adj[v].push_back(b);
    }

    bool BFS(int s, int t);
    int sendFlow(int s, int flow, int t, int ptr[]);
    int DinicMaxflow(int s, int t);
};


bool Graph::BFS(int s, int t)
{
    for (int i = 0 ; i < V ; i++)
        level[i] = -1;

    level[s] = 0;
    list< int > q;
    q.push_back(s);

    vector<Edge>::iterator i ;
    while (!q.empty())
    {
        int u = q.front();
        q.pop_front();
        for (i = adj[u].begin(); i != adj[u].end(); i++)
        {
            Edge &e = *i;
            if (level[e.v] < 0  && e.flow < e.C)
            {
                level[e.v] = level[u] + 1;
                q.push_back(e.v);
            }
        }
    }

    return level[t] < 0 ? false : true ;
}

int Graph::sendFlow(int u, int flow, int t, int start[])
{
    if (u == t)
        return flow;

    for (  ; start[u] < (int)adj[u].size(); start[u]++)
    {
        Edge &e = adj[u][start[u]];

        if (level[e.v] == level[u]+1 && e.flow < e.C)
        {
            int curr_flow = min(flow, e.C - e.flow);

            int temp_flow = sendFlow(e.v, curr_flow, t, start);

            if (temp_flow > 0)
            {
                e.flow += temp_flow;
                adj[e.v][e.rev].flow -= temp_flow;
                return temp_flow;
            }
        }
    }

    return 0;
}

int Graph::DinicMaxflow(int s, int t)
{
    if (s == t)
        return -1;

    int total = 0;

    while (BFS(s, t) == true)
    {
        int *start = new int[V+1];

        while (int flow = sendFlow(s, INT_MAX, t, start))

            total += flow;
    }

    return total;
}

int main()
{
    ifstream fin("maxflow.in");
    ofstream fout("maxflow.out");

    int N, M;

    fin >> N >> M;

    Graph g(N + 1);

    for(int i = 1; i <= M; ++i)
    {
        int x, y, c;
        fin >> x >> y >> c;
        g.addEdge(x, y, c);
    }

    fout << g.DinicMaxflow(1, N);
}