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Cod sursa(job #1553089)

Utilizator ArkinyStoica Alex Arkiny Data 19 decembrie 2015 11:26:51
Problema Flux maxim Scor 10
Compilator cpp Status done
Runda Arhiva educationala Marime 1.64 kb
#include<fstream>
#include<vector>
#include<queue>
#include<algorithm>
using namespace std;


ifstream in("maxflow.in");
ofstream out("maxflow.out");

#define mk(a,b) make_pair(a,b)

vector<pair<int,int>> G[1001];
deque<int> q;
int N, M,a,b,c,i,T=0;
int viz[1001];
int from[1001], it[1001], min_val[1001],O[1001];
int BFS(int x)
{
	q.push_back(x);
	viz[x] = T+1;
	min_val[1] = 1 << 30;
	int i;
	while (q.size())
	{
		x = q.front();
		q.pop_front();
		for (i = 0; i < G[x].size();++i)
			if (viz[G[x][i].first]<=T && G[x][i].second>0)
			{
				q.push_back(G[x][i].first);
				viz[G[x][i].first] = T+1;
				from[G[x][i].first] = x;
				it[G[x][i].first] = i;
				min_val[G[x][i].first] = min(min_val[x], G[x][i].second);
				if (G[x][i].first == N)
				{
					q.clear();
					return 1;
				}
			}
	}
	return 0;
}
void update(int x)
{
	int min_value = min_val[x];
	while (from[x])
	{
		if (G[from[x]][it[x]].second - min_value >= 0)
		{
			G[from[x]][it[x]].second = G[from[x]][it[x]].second - min_value;
			G[x][it[x]].second = G[x][it[x]].second + min_value;
		}
		else
		{
			G[from[x]][it[x]].second = G[from[x]][it[x]].second + min_value;
			G[x][it[x]].second = G[x][it[x]].second - min_value;
		}
		x = from[x];
	}
}
void Edmond()
{
	while (BFS(1))
	{
		update(N);
		++T;
	}
}



int main()
{
	in >> N >> M;
	for (i = 1; i <= M; ++i)
	{
		in >> a >> b>>c;
		G[a].push_back(mk(b, c));
		G[b].push_back(mk(a, 0));
	}
	for (i = 0; i < G[1].size(); ++i)
		O[i] = G[1][i].second;
	Edmond();
	int s = 0;
	for (i = 0; i < G[1].size(); ++i)
		s += O[i]-G[1][i].second;
	out << s;
	return 0;
}