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#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <stack>
#include <algorithm>
using namespace std;
ifstream in("bellmanford.in");
ofstream out("bellmanford.out");
const int nmax = 50001;
const int inf = (1<<30);
class Graf
{
private:
bool orientat;
int nrNoduri;
vector <int> listaAdiacenta[nmax];
vector <pair <int, int>> listaAdiacentaCost[nmax];
public:
Graf(int nrNoduri = 0, bool orientat = false);
void adaugaMuchieCost(int, int, int);
void citireMuchii(int);
void citireMuchiiCost(int);
vector<int> BFS(int);
void DFS(int, bool*);
int nrComponenteConexe();
void DFSStiva(int nodcurent, bool *, stack<int> &);
void sortareTopologica();
void TarjanCTC(int&, int, int*, int*, bool*, stack <int> &, vector<vector<int>> &);
void CTC();
void TarjanBC(int&, int, int, int*, int*, stack <int>&, vector<vector<int>>&);
void BC();
void TarjanMC(int&, int, int, int*, int*, vector<pair<int,int>>&);
void MC();
vector <int> citireHakimi();
bool Hakimi(vector <int>);
vector <int> Dijkstra(int);
pair<int, vector <pair <int, int>>> Prim(int);
vector <int> BellmanFord(int);
};
Graf :: Graf(int nrNoduri, bool orientat) : nrNoduri(nrNoduri), orientat(orientat)
{
this->nrNoduri = nrNoduri;
this->orientat = orientat;
}
void Graf::adaugaMuchieCost(int nod1, int nod2, int cost)
{
listaAdiacentaCost[nod1].push_back(make_pair(nod2, cost));
}
void Graf::citireMuchiiCost(int nrMuchii)
{
int nod1, nod2, cost;
for(int i = 0; i < nrMuchii; i++)
{
in >> nod1 >> nod2 >> cost;
adaugaMuchieCost(nod1, nod2, cost);
if(!orientat)
{
adaugaMuchieCost(nod2, nod1, cost);
}
}
}
vector <int> Graf::BellmanFord(int nodStart)
{
vector <int> cost(nmax, inf);
queue<int> coada;
bool esteInCoada[nmax] = {false};
vector <int> nrIteratii(nmax,0);
cost[nodStart] = 0;
coada.push(nodStart);
esteInCoada[nodStart] = true;
nrIteratii[nodStart]++;
while(!coada.empty())
{
int nodCurent = coada.front();
coada.pop();
esteInCoada[nodCurent] = false;
if(nrIteratii[nodCurent] == nrNoduri)
{
out << "Ciclu negativ!";
cost.clear();
return cost;
}
nrIteratii[nodCurent]++;
for (auto vecin:listaAdiacentaCost[nodCurent])
{
if(cost[nodCurent] + vecin.second < cost[vecin.first])
{
cost[vecin.first] = cost[nodCurent] + vecin.second;
if(!esteInCoada[vecin.first])
{
coada.push(vecin.first);
esteInCoada[vecin.first] = true;
}
}
}
}
return cost;
}
int main()
{
int n, m;
in >> n >> m;
Graf g(n,true);
g.citireMuchiiCost(m);
vector <int> rezultat;
rezultat = g.BellmanFord(1);
if(!rezultat.empty())
{
for(int i = 2; i <= n; i++)
{
out << rezultat[i] << " ";
}
}
return 0;
}