#include <fstream>
#include <algorithm>
#include <queue>
#include <vector>

using namespace std;

const int inf=1 << 30;

int n,m,viz[50001],cost[50001],nod;

vector < pair < int, int> > v[50001];

void drum()
{
    int i;
    priority_queue < pair <int,int> , vector< pair<int, int> > , greater< pair < int, int > > > r;
    r.push(make_pair(0,1));
    while(!r.empty())
    {
        nod=r.top().second;
        r.pop();

        if(viz[nod]==0) viz[nod]=1;

        for(i=0;i<v[nod].size();i++)
        {
            if(cost[nod]+v[nod][i].second < cost[v[nod][i].first])
            {
                cost[v[nod][i].first]=cost[nod]+v[nod][i].second;
                r.push(make_pair(cost[v[nod][i].first], v[nod][i].first));
            }
        }
    }
}

int main()
{
    ifstream mama("dijkstra.in");
    ofstream tata("dijkstra.out");
    mama>>n>>m;
    int i,a,b,c;
    for(i=1;i<=m;i++)
    {
        mama>>a>>b>>c;
        v[a].push_back(make_pair(b,c));
    }
    for(i=2;i<=n;i++)
        cost[i]=inf; viz[i]=0;
    cost[1]=0;
    drum();
    for(i=2;i<=n;i++)
        if (viz[i]==0) tata<<0<<" ";
            else tata<<cost[i];

    return 0;
}