#include<fstream>
#include<algorithm>   
#include<vector>   
#include<queue>   
using namespace std;   
const int nmax=50010;
const int inf=0x3f3f3f3f;
int n,m,d[nmax];   
vector<pair<int, int> >g[nmax];   
void cit()   
{   
    ifstream fin("dijkstra.in");
    fin>>n>>m;   
    for(;m;m--)   
    {   
        int x,y,z;   
        fin>>x>>y>>z;   
        g[x].push_back(make_pair(y,z));   
    }   
}   
void af()   
{   
    ofstream fout("dijkstra.out");   
    for(int i=2;i<=n;i++)   
	fout<<(d[i]<inf?d[i]:0)<<" ";
}   
void solve()   
{   
    int iq[nmax];   
    queue<int>q;   
    memset(d,inf,sizeof(d));   
    memset(iq,0,sizeof(iq));   
    d[1]=0;   
    q.push(1);   
    iq[1]=1;   
    while(!q.empty())   
    {   
        int nod=q.front();   
        q.pop();   
        iq[nod]=0;   
        for(vector<pair<int, int> >::iterator i=g[nod].begin();i!=g[nod].end();i++)   
            if(d[nod]+i->second<d[i->first])   
            {   
                d[i->first]=d[nod]+i->second;   
                if(!iq[i->first])   
                {   
                    q.push(i->first);   
                    iq[i->first]=1;   
                }   
            }   
    }   
}   
int main()   
{   
    cit();   
    solve();   
    af();   
}