#include <bits/stdc++.h>
#define NMAX 50005
#define cin fin
#define cout fout

using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n, m, p;
int x, y, cost;

int d[NMAX];
vector< pair<int, int> > a[NMAX]; //nod, cost
queue< int > coada;

void read();
void BFS();
int main()
{
    read();

    coada.push(p);

    BFS();

    for(int i=2; i<=n; ++i)
    {
        cout<<d[i]<<' ';
    }
    return 0;
}
void BFS()
{
    while(!coada.empty())
    {
        int first=coada.front();
        coada.pop();

        for(int i=0; i<a[first].size(); ++i)
        {
            int nod=a[first][i].first;
            int c=a[first][i].second;

            if(d[nod]>d[first]+c || d[nod]==0)
            {
                d[nod]=d[first]+c;
                coada.push(nod);
            }
        }
    }
}
void read()
{
    cin>>n>>m;
    for(int i=1; i<=m; ++i)
    {
        cin>>x>>y>>cost;
        a[x].push_back({y, cost});
    }
    p=1;
}