// BellmanFord.cpp : This file contains the 'main' function. Program execution begins and ends there.
//
#include <vector>
#include <fstream>
#include <tuple>
using namespace std;
const int MAX_N = 50000 + 1;
const int MAX_M = 250000 + 1;
const int oo = static_cast<int>(1e9);
vector<tuple<int, int, int>> edges;
int N, M;
int s;
vector<int> d(MAX_N);
void INITIALIZE_SINGLE_SOURCE()
{
for (int i = 1; i <= N; ++i)
{
d[i] = oo;
}
d[s] = 0;
}
void RELAX(int u, int v, int weight)
{
if (d[u] + weight < d[v])
{
d[v] = d[u] + weight;
}
}
bool BELLMAN_FORD()
{
INITIALIZE_SINGLE_SOURCE();
for (int i = 1; i <= N - 1; ++i)
{
for (auto& e : edges)
{
int u = get<0>(e);
int v = get<1>(e);
int weight = get<2>(e);
RELAX(u, v, weight);
}
}
for (auto& e : edges)
{
int u = get<0>(e);
int v = get<1>(e);
int weight = get<2>(e);
if (d[u] + weight < d[v])
{
return false;
}
}
return true;
}
int main()
{
ifstream fin{ "bellmanford.in" };
ofstream fout{ "bellmanford.out" };
s = 1;
fin >> N >> M;
for (int i = 1; i <= M; ++i)
{
int u, v, weight;
fin >> u >> v >> weight;
edges.push_back({ u, v, weight });
}
bool ok = BELLMAN_FORD();
if (ok == false)
{
fout << "Ciclu negativ!" << endl;
}
else
{
for (int i = 2; i <= N; ++i)
{
fout << d[i] << " ";
}
fout << endl;
}
return 0;
}