#include <iostream>
#include <fstream>
#include <vector>
#include <limits>
using namespace std;
void bellmanFord(int startNode, int nodeCount, vector<vector<pair<int, int>>> costMatrix, vector<int> &answer, vector<int> &predecessor, vector<int> &cycle)
{
for (int nodeIndex = 1; nodeIndex <= nodeCount; nodeIndex++)
{
answer[nodeIndex] = numeric_limits<int>::max() / 2;
predecessor[nodeIndex] = 0;
}
answer[startNode] = 0;
for (int nodeIndex = 1; nodeIndex < nodeCount - 1; nodeIndex++)
{
bool isAnythingUpdated = false;
for (int sourceNodeIndex = 1; sourceNodeIndex <= nodeCount; sourceNodeIndex++)
for (auto itDestination = costMatrix[sourceNodeIndex].begin(); itDestination != costMatrix[sourceNodeIndex].end(); itDestination++)
if (answer[sourceNodeIndex] + itDestination->second < answer[itDestination->first])
{
answer[itDestination->first] = answer[sourceNodeIndex] + itDestination->second;
predecessor[itDestination->first] = sourceNodeIndex;
isAnythingUpdated = true;
}
if (!isAnythingUpdated)
break;
}
for (int sourceNodeIndex = 1; sourceNodeIndex <= nodeCount; sourceNodeIndex++)
for (auto itDestination = costMatrix[sourceNodeIndex].begin(); itDestination != costMatrix[sourceNodeIndex].end(); itDestination++)
if (answer[sourceNodeIndex] + itDestination->second < answer[itDestination->first])
{
answer[itDestination->first] = answer[sourceNodeIndex] + itDestination->second;
vector<bool> visited(nodeCount + 1, false);
visited[sourceNodeIndex] = true;
int currentNode = itDestination->first;
while (!visited[currentNode])
{
visited[currentNode] = true;
currentNode = predecessor[currentNode];
}
cycle.clear();
cycle.push_back(currentNode);
sourceNodeIndex = predecessor[currentNode];
while (sourceNodeIndex != currentNode)
{
cycle.push_back(sourceNodeIndex);
sourceNodeIndex = predecessor[sourceNodeIndex];
}
return;
}
}
int main()
{
ifstream in("bellmanford.in");
ofstream out("bellmanford.out");
int nodeCount, vertexCount, source, destination, cost;
in >> nodeCount >> vertexCount;
vector<vector<pair<int, int>>> costMatrix(nodeCount + 1);
vector<int> answer(nodeCount + 1, numeric_limits<int>::max() / 2), predecessor(nodeCount + 1, 0), cycle;
for (int vertexIndex = 1; vertexIndex <= vertexCount; vertexIndex++)
{
in >> source >> destination >> cost;
costMatrix[source].push_back(pair<int, int>(destination, cost));
}
bellmanFord(1, nodeCount, costMatrix, answer, predecessor, cycle);
if (!cycle.empty())
{
out << "Ciclu negativ!";
return 0;
}
for (int nodeIndex = 2; nodeIndex < answer.size(); nodeIndex++)
out << ((answer[nodeIndex] == numeric_limits<int>::max() / 2) ? 0 : answer[nodeIndex]) << ' ';
return 0;
}