#include <bits/stdc++.h>
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
const int NMAX=5e4, inf=1e9;
vector<pair<int,int> > mat[NMAX+5];
vector<int> dist(NMAX+5, inf);
void dijkstra(){
    priority_queue<pair<int,int> > q;
    q.push({0, 1});
    dist[1]=0;
    while(!q.empty()){
        int nod=q.top().second;
        q.pop();
        for(auto it:mat[nod]){
            if(dist[it.first]>dist[nod]+it.second){
                dist[it.first]=dist[nod]+it.second;
                q.push({-dist[it.first], it.first});
            }
        }
    }
}
int main(){
    int n, m;
    fin>>n>>m;
    for(int i=1;i<=m;i++){
        int x, y, z;
        fin>>x>>y>>z;
        mat[x].push_back({y,z});
    }
    dijkstra();
    for(int i=2;i<=n;i++){
        fout<<dist[i]<<' ';
    }
}