Cod sursa(job #1237325)

Utilizator CosminRusuCosmin Rusu CosminRusu Data 3 octombrie 2014 20:27:02
Problema Flux maxim Scor 10
Compilator cpp Status done
Runda Arhiva educationala Marime 3.14 kb
#include <fstream>
#include <iostream>
#include <vector>
#include <bitset>
#include <string.h>
#include <algorithm>
#include <iomanip>
#include <math.h>
#include <time.h>
#include <stdlib.h>
#include <set>
#include <map>
#include <string>
#include <queue>
#include <unordered_map>

using namespace std;

const char infile[] = "maxflow.in";
const char outfile[] = "maxflow.out";

ifstream fin(infile);
ofstream fout(outfile);

const int MAXN = 100005;
const int oo = 0x3f3f3f3f;

typedef vector<int> :: iterator It;

const inline int min(const int &a, const int &b) { if( a > b ) return b;   return a; }
const inline int max(const int &a, const int &b) { if( a < b ) return b;   return a; }
const inline void Get_min(int &a, const int b)    { if( a > b ) a = b; }
const inline void Get_max(int &a, const int b)    { if( a < b ) a = b; }

class Graph {
private:
    unordered_map<int, unordered_map<int, int> > _flow, _capacity;
    vector <vector <int> > g;
    int N;
    vector <bool> used;
    vector <int> father;
public:
    Graph() {
    }
    Graph(int N) {
        g.resize(N);
        used.resize(N);
        father.resize(N);
    }
    void addEdge(int x, int y, int capacity) {
        g[x].push_back(y);
        g[y].push_back(x);
        _capacity[x][y] += capacity;
    }
    int getMaxFlow(int source, int sink) {
        int maxflow = 0;
        while(bfs(source, sink)) {
            if(father[sink] == -1)
                break;
            for(It it = g[sink].begin(), fin = g[sink].end(); it != fin ; ++ it) {
                if(!used[*it] || _capacity[*it][sink] - _flow[*it][sink] <= 0)
                    continue;
                father[sink] = *it;
                int bottleNeck = oo;
                for(int i = sink; i != source ; i = father[i])
                    bottleNeck = min(bottleNeck, _capacity[father[i]][i] - _flow[father[i]][i]);
                if(!bottleNeck)
                    continue;
                maxflow += bottleNeck;
                for(int i = sink; i != source ; i = father[i]) {
                    _flow[father[i]][i] += bottleNeck;
                    _flow[i][father[i]] -= bottleNeck;
                }
            }
        }
        return maxflow;
    }
    bool bfs(int source, int sink) {
        fill(used.begin(), used.end(), false);
        queue <int> Q;
        used[source] = 1;
        father[source] = source;
        Q.push(source);
        while(!Q.empty()) {
            int node = Q.front();
            Q.pop();
            for(It it = g[node].begin(), fin = g[node].end(); it != fin ; ++ it)
                if(!used[*it] && _capacity[node][*it] - _flow[node][*it] > 0) {
                    used[*it] = 1;
                    father[*it] = node;
                    Q.push(*it);
                }
        }
        return used[sink];
    }
};

int N, M;

int main() {
    fin >> N >> M;
    Graph G(N);
    for(int i = 1 ; i <= M ; ++ i) {
        int x, y, c;
        fin >> x >> y >> c;
        G.addEdge(x - 1, y - 1, c);
    }
    fout << G.getMaxFlow(0, N - 1) << '\n';
    fin.close();
    fout.close();
    return 0;
}