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#include <bits/stdc++.h>
struct edge
{
int v, cost;
};
int nodes, edges, u, v, cost;
std :: vector<edge> adj[50001];
int distance[50001], OO = (1 << 31) - 1;
bool visited[50001];
struct orderByDistance
{
bool operator()(int a, int b)
{
return distance[a] > distance[b];
}
};
std :: priority_queue<int, std :: vector<int>, orderByDistance> q;
void Dijkstra(int start)
{
for(int i = 1; i <= nodes; i++)
{
distance[i] = OO;
}
distance[start] = 0;
q.push(start);
while(!q.empty())
{
int u = q.top(); q.pop();
if(!visited[u])
{
visited[u] = true;
for(edge i : adj[u])
{
int v = i.v, cost = i.cost;
if(distance[v] > distance[u] + cost)
{
distance[v] = distance[u] + cost;
q.push(v);
}
}
}
}
}
int main()
{
freopen("dijkstra.in", "r", stdin);
freopen("dijkstra.out", "w", stdout);
scanf("%d %d", &nodes, &edges);
for(int i = 1; i <= edges; i++)
{
scanf("%d %d %d", &u, &v, &cost);
adj[u].push_back({v, cost});
}
Dijkstra(1);
for(int i = 2; i <= nodes; i++)
{
printf("%d ", distance[i] == OO ? 0 : distance[i]);
}
return 0;
}