Cod sursa(job #2956165)

Utilizator iulia.talpalariuIulia-Georgiana Talpalariu iulia.talpalariu Data 18 decembrie 2022 17:08:05
Problema Cuplaj maxim in graf bipartit Scor 50
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 4.54 kb
#include <vector>
#include <queue>
#include <fstream>
#include <climits>
#include <iostream>
using namespace std;
ifstream fileIn("cuplaj.in");
ofstream fileOut("cuplaj.out");


class Graph {
protected:
    int N;
    int M;
    vector<int> prev_in_bfs;
    vector<vector<int>> list_adj;
    //vector<bool> visited;
    vector<vector<int>> capacities;


    public:
        void read();
        void initialize(int k, int initial_capacity = 0);
        int bfs(int s, int t);
        int maxflow(int source, int target);
        int getNoNodes(){
            return N;
            }

};

void Graph::initialize(int k, int initial_capacity) {
    list_adj.resize(k);
    //visited.resize(k);
    prev_in_bfs.resize(k);
    capacities.resize(k);

    for(int i = 0; i < (int) capacities.size(); ++i) {
        capacities[i].resize(k, initial_capacity);
    }
}

void Graph:: read() {
    fileIn >> N >> M;
    initialize(N+1);

    int a, b, c;
    for(int i=1; i<= M; i++) {
            fileIn >> a >> b >> c;
            list_adj[a].push_back(b);
            list_adj[b].push_back(a);
            capacities[a][b] = c;
    }

}

int Graph::bfs(int s, int t) {
    //filling prev and visited vectors with default values
    fill(prev_in_bfs.begin(), prev_in_bfs.end(), -2);
    //fill(visited.begin(), visited.end(), false);
    // queue for bfs
    queue<pair<int,int>> q_bfs;
    //visiting the start node and adding to the queue
    q_bfs.push({s, INT_MAX});
    //visited[s] = true;
    prev_in_bfs[s] = -1;
    int bottleneck;
    while(!q_bfs.empty()) {
        auto curr = q_bfs.front();
        int curr_node = curr.first;
        int curr_flow = curr.second;
        q_bfs.pop();

        for( auto node: list_adj[curr_node]) {
            // for every adj node
            int flow = capacities[curr_node][node];
            if(prev_in_bfs[node] == -2 && flow > 0) { // if the node it s not visited in this bfs and the edge have capacity
                //we visit it and set its prev node
                //visited[node] = true;
                prev_in_bfs[node] = curr_node;
                //we calculate bottleneck as minimum on the current path from source to target
                bottleneck = min(curr_flow, flow);
                if (node ==  t) {
                    return bottleneck;
                }
                q_bfs.push({node, bottleneck});
            }
    }

}
        return 0;

}

int Graph::maxflow(int source, int target) {
    int flow = 0;

    int bottleneck;
    bottleneck = bfs(source,target);
    while(bottleneck !=0) {
        flow += bottleneck;
         // traverse the path in reverse order to update capacity
        for(int curr_node = target; curr_node != source; curr_node = prev_in_bfs[curr_node]) {
            capacities[prev_in_bfs[curr_node]][curr_node] -= bottleneck; //decreasing forward edge capacity
            capacities[curr_node][prev_in_bfs[curr_node]] += bottleneck; // increasing the reversed edge capacity
        }

        bottleneck = bfs(source, target);
    }
    return flow;
}



class Cuplaj: public Graph {
    int E;

    public:
        void read();
        void display_path();

};

void Cuplaj ::read() {
    fileIn >> N >> M >> E;
    initialize(N+ M + 2, 0);
    int a, b;
    for(int i = 1; i<= E; ++i) {
        fileIn >> a >> b;
        list_adj[0].push_back(a);
        list_adj[a].push_back(0);
        list_adj[a].push_back(N + b);
        list_adj[N+b].push_back(a);
        list_adj[N+M+1].push_back(N+b);
        list_adj[N + b].push_back(N + M + 1);

        capacities[0][a] = 1;
        capacities[a][N + b] = 1;
        capacities[N + b][N + M + 1] = 1;
    }
}

void Cuplaj::display_path() {
    int start = 0, target = N + M + 1;
    fileOut << maxflow(start, target)<<'\n';
    queue<int> q;
    q.push(start);

    for(auto elem_first_partition: list_adj[start]) {
            for(auto elem_snd_partition: list_adj[elem_first_partition]){

                if (elem_snd_partition == start) {

                    continue;
                }

                if (capacities[elem_first_partition][elem_snd_partition] == 0) {

                    fileOut << elem_first_partition << ' ' <<elem_snd_partition - N<< '\n';
                    capacities[elem_first_partition][elem_snd_partition]++;
                    break;

                }
            }
    }
}




int main()  {
    Cuplaj my_graph;
    my_graph.read();
    my_graph.display_path();


    return 0;

}