#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#define nmax 200001
#define dmax 20000
using namespace std;

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

vector <int> v[nmax];
queue <int> q;
int n,m,s,a,b,i,c,nod[nmax];

void bfs()
{

    while (!q.empty())
    {
        int cur=q.front();

        q.pop();

        for (i=0; i<v[cur].size(); i++)
            if (i%2==0)
            {
                if (nod[v[cur][i]]!=0)
                    nod[v[cur][i]]=min (nod[cur]+v[cur][i+1],nod[v[cur][i]]);
                    else
                        nod[v[cur][i]]=nod[cur]+v[cur][i+1];
                q.push(v[cur][i]);
            }
    }

}

int main()
{

    f>>n>>m;
    q.push(1);

    for (i=1; i<=n; i++)
        nod[i]=0;
    nod[1]=0;
    for (i=1; i<=m; i++)
    {
        f>>a>>b>>c;
        v[a].push_back(b);
        v[a].push_back(c);
    }

    bfs();
    for (i=2; i<=n; i++)
        g<<nod[i]<<" ";

    return 0;
}