#include <bits/stdc++.h>

using namespace std;
vector<pair<int,int>>graph[50005];
priority_queue<pair<int,int>>q;
int dist[50005];
int main()
{
    ifstream cin("dijkstra.in");
    ofstream cout("dijkstra.out");
    int n,m;
    cin>>n>>m;
    for(int i=1; i<=m; i++)
    {
        int a,b,c;
        cin>>a>>b>>c;
        graph[a].push_back({b,c});
    }
    for(int i=2; i<=n; i++)
        dist[i]=INT_MAX;
    q.push({0,1});
    while(!q.empty())
    {
        int nod=q.top().second, d=-q.top().first;
        q.pop();
        if(d>dist[nod])
            continue;
        for(int i=0; i<graph[nod].size(); i++)
        {
            int new_dist=d+graph[nod][i].second;
            int new_nod=graph[nod][i].first;
            if(new_dist<dist[new_nod])
            {
                dist[new_nod]=new_dist;
                q.push({-dist[new_nod], new_nod});
            }
        }
    }
    for(int i=2; i<=n; i++)
        cout<<dist[i]<<" ";
    return 0;
}