#include <fstream>
#include <vector>
#include <queue>
#include <cstring>
#define Nmax 50009
#define oo 2000000000
#define pb push_back
#define x first
#define y second
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
typedef pair<int,int> PP;

int N,M,Source,Sink,x,y,z,ante[Nmax],d[Nmax],old_d[Nmax],real_d[Nmax];
vector < PP > G[Nmax];
priority_queue < PP  , vector < PP > , greater<PP> > pq;


inline void ReadInput()
{
    f>>N>>M;
    for(int i=1;i<=M;++i)
        {
            f>>x>>y>>z;
            G[x].pb(PP(y,z)) , G[y].pb(PP(x,z));
        }
}

void Dijkstra(int Source)
{
    for(int i=1;i<=N;++i)d[i]=oo,ante[i]=oo;
    d[Source]=0 , ante[Source]=Source;
    for(pq.push(PP(0,Source)); !pq.empty();)
    {
        int  val=pq.top().x,node=pq.top().y;
        pq.pop();
        if(d[node]!=val)continue;
        for(vector<PP>::iterator it=G[node].begin();it!=G[node].end();++it)
            {
                int aux=d[node]+it->y+old_d[node]-old_d[it->x];
                if(aux<d[it->x])
                {
                    ante[it->x] = node;
                    d[it->x] = aux;
                    real_d[it->x] = real_d[node] + it->y;
                    pq.push( PP(d[it->x] , it->x) );
                }
            }
    }
    //for(int i=1;i<=N;++i)old_d[i]=real_d[i];
    for(int i=2;i<=N;++i)g<<real_d[i]<<' ';g<<'\n';
}


int main()
{
    ReadInput();
    Dijkstra(1);
    f.close();g.close();
    return 0;
}