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#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#define INF 1<<30
std::ifstream f("dijkstra.in");
std::ofstream g("dijkstra.out");
#define makeNode(a,b) std::make_pair(a, b)
typedef std::pair<int, int> Node;
class Graph {
private:
int V; // No. of vertices
std::vector<Node> *table;
public:
Graph(int V) {
this->V = V;
table = new std::vector<Node>[V];
}
void addEdge(int x, int y, int cost) {
table[x].push_back(makeNode(y, cost));
}
void dijkstra(int source) {
std::priority_queue< Node, std::vector<Node>, std::greater<Node> > h;
std::vector<int> costs(V, INF);
costs[source] = 0;
h.push(makeNode(0, source));
while (!h.empty()) {
int node = h.top().second;
int cost = h.top().first;
h.pop();
if (costs[node] == cost) {
std::vector<Node>::iterator it;
for (it = table[node].begin(); it != table[node].end(); ++it) {
int newCost = costs[node] + it->second;
if (costs[it->first] > newCost) {
costs[it->first] = newCost;
h.push(makeNode(newCost, it->first));
}
}
}
}
std::vector<int>::iterator it;
for (it = costs.begin() + 2; it != costs.end(); ++it)
if (*it == INF)
g << -1 << " ";
else
g << *it << " ";
g << '\n';
}
};
int main() {
int n;
f >> n;
Graph* myGraph = new Graph(n + 1);
int m;
f >> m;
int x, y, cost;
for (int i = 1; i <= m; ++i) {
f >> x >> y >> cost;
myGraph->addEdge(x, y, cost);
}
myGraph->dijkstra(1);
return 0;
}