#include <bits/stdc++.h>
#include <fstream>
#define cin fin
#define cout fout
using namespace std;
ifstream cin("dijkstra.in");
ofstream cout("dijkstra.out");
int cost[50008],incoada[50008];
vector<pair<int,int>>G[50008];
struct compar
{
    bool operator() (int a,int b)
    {
        cost[a]>cost[b];
    }
};
priority_queue<int,vector<int>,compar>Q;
int i,j,a,b,c,n,m;
void Dijkstra(int nod)
{
    for(i=1;i<=n;i++)
    {
        cost[i]=1e9;
    }
    cost[nod]=0;
    Q.push(nod);
    while(!Q.empty())
    {
        nod=Q.top();
        Q.pop();
        incoada[nod]=0;
        for(auto i:G[nod])
        {
            if(cost[i.first]>cost[nod]+i.second)
            {
                cost[i.first]=cost[nod]+i.second;
                if(incoada[i.first]==0)
                {
                    incoada[i.first]=1;
                    Q.push(i.first);
                }
            }
        }
    }
}
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie();
    cin>>n>>m;
    for(i=1;i<=m;i++)
    {
        cin>>a>>b>>c;
        G[a].push_back({b,c});
    }
    Dijkstra(1);
    for(i=2;i<=n;i++)
    {
        if(cost[i]!=1e9)
        cout<<cost[i]<<" ";
        else
        cout<<"0 ";
    }
    return 0;
}