#include <bits/stdc++.h>
using namespace std;

const int inf = INT_MAX;
int n,m,c,m1,m2;
vector<vector<pair<int,int>>>adj(50010);
vector<bool>viz(50010);
vector<int>dist(50010);

void dijkstra(int nod)
{
    fill(dist.begin(),dist.end(),inf);
    dist[nod] = 0;
    priority_queue<pair<int,int>>pq;
    pq.push({0,nod});
    viz[nod] = 1;
    while(!pq.empty())
    {
        int el = pq.top().second;
        int cost = pq.top().first;
        viz[el] = 0;
        pq.pop();
        for(int i = 0;i < adj[el].size();i++)
        {
            int vecin = adj[el][i].first;
            int cc = adj[el][i].second;
            if(dist[el] + cc < dist[vecin])
            {
                dist[vecin] = dist[el] + cc;
                if(viz[vecin] == 0)
                {
                    viz[vecin] = 1;
                    pq.push({dist[vecin],vecin});
                }
            }
        }
    }
}

int main()
{
    ifstream cin("dijkstra.in");
    ofstream cout("dijkstra.out");
    cin>>n>>m;
    for(int i = 1; i <= m; i++)
    {
        cin>>m1>>m2>>c;
        adj[m1].push_back(make_pair(m2,c));
    }
    dijkstra(1);
    for(int i = 2;i <= n;i++)
        cout<<dist[i]<<" ";
}