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#include <iostream>
#include <fstream>
#include <vector>
#include <climits>
typedef struct edge{
int first, second, weight;
}edge;
using namespace std;
ifstream f("bellmanford.in");
ofstream g("bellmanford.out");
void BellmanFord(int n, vector<edge> E, int source, vector<int>& distance, vector<int>& predecessor)
{
for(int i = 0; i <= n; i++)
distance.push_back(INT_MAX),predecessor.push_back(0);
distance.at(source) = 0;
for(int i = 1; i <= n; i++)
{
for(unsigned int j = 0; j < E.size(); j++)
{
if(distance.at(E[j].first) + E[j].weight < distance.at(E[j].second))
{
distance.at(E[j].second) = distance.at(E[j].first) + E[j].weight;
predecessor.at(E[j].second) = E[j].first;
}
}
}
for(unsigned int j = 0; j < E.size(); j++)
if(distance.at(E[j].first) + E[j].weight < distance.at(E[j].second))
{
g << "Ciclu negativ!";
return;
}
}
int main()
{
int n, m, a, b, w;
f >> n >> m;
vector<edge> E;
vector<int> distance, predecessor;
for(int i = 0; i < m; i++)
{
f >> a >> b >> w;
edge n;
n.first = a;
n.second = b;
n.weight = w;
E.push_back(n);
}
BellmanFord(n, E, 1, distance, predecessor);
for(int i = 1; i < n; i++)
{
cout << "De la nodul 1 la nodul " << i+1 <<" este distanta " << distance[i+1];
cout<<endl;
}
return 0;
}