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#include <fstream>
#include <vector>
#include <queue>
using namespace std;
const int Nmax = 50000;
const long long INF = (1LL << 60);
vector <pair <int, int>> adj[Nmax + 1];
priority_queue <pair <int, int>> q;
bool viz[Nmax + 1];
long long dist[Nmax + 1];
int urm[Nmax + 1];
void Dijkstra()
{
for (int i = 1; i <= Nmax; i++)
{
dist[i] = INF;
}
q.push({0, 1});
dist[1] = 0;
while (!q.empty())
{
int s = q.top().second;
q.pop();
if (viz[s])
{
continue;
}
viz[s] = true;
for (auto u : adj[s])
{
int b = u.first, c = u.second;
if (dist[s] + c < dist[b])
{
dist[b] = dist[s] + c;
q.push({-dist[b], b});
urm[b] = s;
}
}
}
}
int main()
{
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n, m;
fin >> n >> m;
for (int i = 1; i <= m; i++)
{
int u, v, c;
fin >> u >> v >> c;
adj[u].push_back({v, c});
}
Dijkstra();
for (int i = 2; i <= n; i++)
{
if (dist[i] == INF)
{
fout << "0 ";
}
else
{
fout << dist[i] << " ";
}
}
return 0;
}