#include<bits/stdc++.h>
using namespace std;
ifstream f("dijkstra.in");
ofstream g("dijkstra.out");
int n,m;
struct gul{int dest, dist;};
vector<gul>v[50002];
bool viz[50002];
long long dmin[50002];
int main()
{
    f>>n>>m;
    for(int i=1;i<=m;++i)
    {
        int a,b,d;
        f>>a>>b>>d;
        v[a].push_back({b,d});
        v[b].push_back({a,d});
    }
    viz[1]=1;
    deque<int>d;
    d.push_back(1);
    while(!d.empty())
    {
        int nod=d[0];
        for(int j=0;j<v[nod].size();++j)
            if(!viz[v[nod][j].dest] || dmin[nod]+v[nod][j].dist<dmin[v[nod][j].dest])
                dmin[v[nod][j].dest]=dmin[nod]+v[nod][j].dist,d.push_back(v[nod][j].dest),viz[v[nod][j].dest]=1;
        d.pop_front();
    }
    for(int i=2;i<=n;++i)
        g<<dmin[i]<<" ";
    return 0;
}