//#include <bits/stdc++/.h>
#include <fstream>
#include <vector>
#include <queue>
#define NMAX 50001
#define INF 2*10e9

using namespace std;

ifstream f("dijkstra.in");
ofstream g("dijkstra.out");

priority_queue< pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > >h;
vector< pair<int, int> >v[NMAX];
int d[NMAX];
int n, m;

void citire()
{
    int i, a, b, c;
    f>>n>>m;
    for (i=1;i<=m;i++){
        f>>a>>b>>c;
        v[a].push_back(make_pair(c,b));
    }
    for(i=1;i<=n;i++)d[i]=INF;
}

void rez()
{
    int nod, i;
    h.push(make_pair(0, 1));
    d[1]=0;
    while(!h.empty()){
        nod = h.top().second;
        h.pop();
        for(i=0;i<v[nod].size();i++){
            if(d[nod] + v[nod][i].first < d[v[nod][i].second]){
                d[v[nod][i].second] = d[nod] + v[nod][i].first;
                h.push(make_pair(d[v[nod][i].second], v[nod][i].second));
            }
        }
    }
}

int main()
{
    citire();
    rez();
    for(int i=2;i<=n;i++) g<<d[i]<<' ';
    return 0;
}