#include <fstream>
#include <queue>
#include <climits>
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int const Vmax = 50001;
priority_queue<pair<int, int>> Q;
vector<pair<int, int>> v[Vmax];
vector<int> dist(Vmax, INT_MAX);
void bfs(){
dist[1]=0;
Q.push({0, 1});
while(!Q.empty()){
int vec = Q.top().second;
int distanta_vec = -Q.top().first;
Q.pop();
if(distanta_vec < dist[vec])
continue;
for(pair<int, int> i : v[vec]){
if(dist[i.second] > dist[vec] + i.first){
dist[i.second] = dist[vec] + i.first;
Q.push({-dist[i.second], i.second});
}
}
}
}
int main()
{
int n, m;
fin>>n>>m;
for(int i=1;i<=m;i++){
int x, y, z;
fin>>x>>y>>z;
v[x].push_back({z, y});
}
bfs();
for(int i=2;i<=n;i++)
fout<<dist[i]<<" ";
return 0;
}