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

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

int n, m, mindist[50005];
vector<pair<int, int> >adj[50005];
priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > >pq;

void dijkstra(int nod)
{
    pq.push(make_pair(1, 0));
    while(!pq.empty())
    {

        pair<int, int> p = pq.top();
        pq.pop();

        if(mindist[p.first] != p.second)
            continue;

        for(auto i : adj[p.first])
        {
            if(mindist[i.first] > p.second + i.second)
            {
                mindist[i.first] = p.second + i.second;
                pq.push({i.first, mindist[i.first]});
            }
        }
    }
}

int main()
{
    f>>n>>m;
    int x, y, cost;
    for(int i = 1; i <= m; i++)
    {
        f>>x>>y>>cost;
        adj[x].push_back({y, cost});
    }

    for(int i = 1; i <= n; i++)
        mindist[i] = 0x3f3f3f3f;

    mindist[1] = 0;

    dijkstra(1);

    for(int i = 2; i <= n; i++)
        if(mindist[i] != 0x3f3f3f3f)
            g<<mindist[i]<<" ";
        else g<<0<<" ";
    return 0;
}