Cod sursa(job #2959144)

Utilizator VartonVarts Var Varton Data 29 decembrie 2022 21:44:04
Problema Cuplaj maxim in graf bipartit Scor 70
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 2.89 kb
#include <iostream>
#include <bits/stdc++.h>
#include <fstream>
using namespace std;
//ifstream in("maxflow.in");
//ofstream out("maxflow.out");
ifstream in("cuplaj.in");
ofstream out("cuplaj.out");
vector<vector<int>> adjList;
map<pair<int,int>, int> cap;
int sol[20005];
int n,m,e;
void read(){
    in >> n >> m >> e;
    adjList.resize(n + m + 3);
//    cap.resize(n + m + 3, vector<int>(n + m + 3, 0));
    int x, y;
    for(int i = 0; i < e; i++)
    {
        in >> x >> y;
        adjList[x].emplace_back(y+n);
        adjList[y + n].emplace_back(x);
        cap[{x, y+n}] = 1;
    }
    for(int i = 1; i <= n; i++)
    {
        adjList[0].emplace_back(i);
//        adjList[i].emplace_back(0);
        cap[{0, i}] = 1;
    }
    for(int i = 1; i <= m; i++)
    {
        adjList[i + n].emplace_back(n + m + 1);
        adjList[n + m + 1].emplace_back(i + n);
        cap[{i+n, n+m+1}] = 1;
    }
}

int BFS(int source, int dest, vector<int>& parent)
{

    fill(parent.begin(), parent.end(), -1);
    parent[source] = 0;
    queue<int> q;
    q.push(source);
    while(!q.empty()) {

        int pNode = q.front(); //nodul parinte
        q.pop();
        for (auto el: adjList[pNode])
        {
            int cNode = el; // copiii nodului parinte actual
            if(cNode != pNode && parent[cNode] == -1 && cap[{pNode,cNode}] > 0)
            {
                parent[cNode] = pNode;
                if(cNode == dest)
                {
                    return 1;
                }
                //adaugam urmatorul nod ce urmeaza sa fie vizitat
                q.push({cNode});
            }
        }
    }
    return 0;
}


int FordFulkerson(int source, int dest)
{
    vector<int> parent(n + m + 3, -1);
    int mxFlow = 0;


    while(BFS(source,dest,parent)) {

        for (auto el: adjList[dest]) {
            if (parent[el] != -1) {
                int mnCap = INT_MAX;
                int cNode = dest;
                parent[dest] = el;
                while (cNode != source) {
                    mnCap = min(mnCap, cap[{parent[cNode],cNode}]);
                    cNode = parent[cNode];
                }
                cNode = dest;
                while (cNode != source){
                    cap[{cNode, parent[cNode]}] += mnCap;
                    cap[{parent[cNode], cNode}] -= mnCap;
                    if(cap[{parent[cNode], cNode}] == 0 && parent[cNode] != 0 && parent[cNode] <= n && cNode != n + m + 1)
                        sol[parent[cNode]] = cNode - n;
                    cNode = parent[cNode];
                }
                mxFlow += mnCap;
            }
        }
    }
    return mxFlow;
}

int main()
{
    read();

    out<<FordFulkerson(0, n + m + 1)<<endl;


    for(int i = 1; i <= n; i++)
    {
        if(sol[i] != 0)
            out<< i << " "<<sol[i]<<endl;
    }
    return 0;
}