Cod sursa(job #988762)

Utilizator CosminRusuCosmin Rusu CosminRusu Data 23 august 2013 19:54:19
Problema Flux maxim Scor 10
Compilator cpp Status done
Runda Arhiva educationala Marime 2.48 kb
#include <fstream>
#include <vector>
#include <bitset>
#include <queue>
#include <algorithm>
#include <utility>
#include <cstring>
#include <string>
#include <stack>
#include <deque>
#include <iomanip>
#include <set>
#include <map>
#include <cassert>
#include <ctime>
#include <list>
#include <iomanip>

using namespace std;

string file = "maxflow";

ifstream cin( (file + ".in").c_str() );
ofstream cout( (file + ".out").c_str() );

const int MAXN = 1005;
const int oo = 0x3f3f3f3f;

typedef vector<int> Graph[MAXN];
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; }

struct ClassComp {
    inline bool operator () (const int &a, const int &b) const {
        return a > b;
    }
};

Graph G;
int N, M, Flow[MAXN][MAXN], Capacity[MAXN][MAXN], Father[MAXN], MaxFlow;
bitset <MAXN> Used;
queue <int> Q;

const int So = 1;   /// Source
int Si;   /// Sink

inline bool BFs() {
    for(Q.push(So), Used.reset() ; !Q.empty() ; Q.pop()) {
        int Node = Q.front();
        Used[Node] = true;
        for(It it = G[Node].begin(), fin = G[Node].end() ; it != fin ; ++ it)
            if(!Used[*it] && Flow[Node][*it] < Capacity[Node][*it]) {
                Q.push(*it);
                Father[*it] = Node;
            }
    }
    return Used[Si];
}

int main() {
    cin >> N >> M;
    Si = N;
    for(int i = 1 ; i <= M ; ++ i) {
        int x, y, z;
        cin >> x >> y >> z;
        G[x].push_back(y);
        G[y].push_back(x);
        Capacity[x][y] = z;
    }
    for( ; BFs() ; ) {
        for(It it = G[Si].begin(), fin = G[Si].end() ; it != fin ; ++ it) {
            if(!Father[*it] || Capacity[*it][Si] <= Flow[*it][Si])
                continue;
            Father[Si] = *it;
            int MinFlow = oo;
            for(int i = Si ; i != So ; i = Father[i])
                MinFlow = min(MinFlow, Capacity[Father[i]][i] - Flow[Father[i]][i]);
            for(int i = Si ; i != So ; i = Father[i])
                Flow[Father[i]][i] += MinFlow,
                Flow[i][Father[i]] = -Flow[Father[i]][i];
            MaxFlow += MinFlow;
        }
    }
    cout << MaxFlow << '\n';
    cin.close();
    cout.close();
    return 0;
}