#include <fstream>
#include <vector>
#include <queue>
#define MX 50001
using namespace std;

ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n,m;
unsigned int d[MX];
bool viz[MX];

struct muchie
{
    int j,c;
};

struct cmp
{
    bool operator() (int& a, int& b)
    {
        return d[a] > d[b];
    }
};
vector<muchie> v[MX];
priority_queue<int, vector<int>, cmp> q;

void citire()
{
    int i,x;
    muchie e;
    fin>>n>>m;
    for(i=1; i<=m; i++)
    {
        fin>>x>>e.j>>e.c;
        v[x].push_back(e);
    }
}

void dijkstra()
{
    vector<muchie>::iterator it;
    int u;
    q.push(1);

    while(!q.empty())
    {
        u = q.top();
        q.pop();
        if(viz[u]) continue;

        viz[u] = 1;
        for(it=v[u].begin(); it!=v[u].end(); it++)
        {
            if(d[u] + it->c < d[it->j] && !viz[it->j])
            {
                d[it->j] = d[u] + it->c;
                q.push(it->j);
            }
        }
    }
}

int main()
{
    int i;
    citire();
    for(i=2; i<=n; i++) d[i] = (1<<31);

    dijkstra();

    for(i=2; i<=n; i++)
    {
        fout<<((d[i]==(1<<31)) ? 0 : d[i])<<' ';
    }

    //for(i=1; i<=n; i++) v[i].clear();

    fin.close(); fout.close();
    return 0;
}