#include <bits/stdc++.h>

using namespace std;

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

int n, m;
struct elem
{
    int nod, cost;
    bool operator < (const elem other) const
    {
        return cost > other.cost;
    }

};

vector<elem> v[50500];
priority_queue<elem> coada;
int ans[50500];

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

    for(int i = 1; i <= n; i ++)
    {
        ans[i] = INT_MAX;
    }

    ans[1] = 0;

    while(m--)
    {
        int u, w, c;
        fin >> u >> w >> c;
        v[u].push_back({w,c});
    }

    coada.push({1,0});

    while(!coada.empty())
    {
        int nod = coada.top().nod;
        int cost = coada.top().cost;
        coada.pop();
        if(cost == ans[nod])
        {
            for(int it = 0; it != v[nod].size(); it++)
            {
                if(cost + v[nod][it].cost < ans[v[nod][it].nod])
                {
                    ans[v[nod][it].nod] = cost + v[nod][it].cost;
                    coada.push({v[nod][it].nod, ans[v[nod][it].nod]});
                }
            }
        }
    }
    for(int i = 2; i <= n; i ++)
    {
        fout << ans[i] << ' ';
    }
    fout << '\n';
}