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#include <fstream>
#include <vector>
#include <queue>
#define INF 2147483647
using namespace std;
typedef pair < int, int > iPair;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
int n, m, x, y, weight, dist[50001];
vector < vector < pair < int, int > > > edge(50001);
priority_queue < iPair, vector < iPair >, greater < iPair > > pq;
void dijkstra(int start)
{
dist[1] = 0;
for(int i = 2; i <= n; ++i)
{
dist[i] = INF;
}
pq.push({0, start});
while(!pq.empty())
{
int u = pq.top().second;
pq.pop();
for(int i = 0; i < edge[u].size(); ++i)
{
int w = edge[u][i].first;
int v = edge[u][i].second;
if(dist[v] > dist[u] + w)
{
dist[v] = dist[u] + w;
pq.push({dist[v], v});
}
}
}
}
int main()
{
f >> n >> m;
for(int i = 1; i <= m; ++i)
{
f >> x >> y >> weight;
edge[x].push_back({weight, y});
}
dijkstra(1);
for(int i = 2; i <= n; ++i)
{
g << dist[i] << " ";
}
}