#include <bits/stdc++.h>

using namespace std;

ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");

int n,m;
vector<pair<int,int>>L[50002];
int dist[50002];

void Dijkstra()
{
    for(int i=1;i<=n;++i)
        dist[i]=2e9;

    priority_queue<pair<int,int>, vector<pair<int,int>>, greater<pair<int,int>> >pq;

    pq.push({0,1});

    dist[1]=0;

    while(!pq.empty())
    {
        int nod=pq.top().second;
        int c=pq.top().first;

        pq.pop();

        if(dist[nod]<c)
            continue;

        for(auto it : L[nod])
        {
            if(dist[it.first]> dist[nod]+ it.second)
            {
                dist[it.first]=dist[nod]+it.second;

                pq.push({dist[it.first],it.first});
            }
        }
    }

    for(int i=2;i<=n;++i)
    {
        if(dist[i]==2e9)
            fout<<0<<' ';
        else
            fout<<dist[i]<<' ';
    }



}


int main()
{
    fin>>n>>m;

    for(int i=1;i<=m;++i)
    {
        int x,y,c;
        fin>>x>>y>>c;
        L[x].push_back({y,c});
    }
    Dijkstra();
    return 0;

}