#include <fstream>
#include <queue>
#include <vector>
#define inf 0x3f3f3f
#define pii pair<int,int>
#define dim 50002

using namespace std;
ifstream cin("dijkstra.in");
ofstream cout("dijkstra.out");
int n,m;
int d[dim],v[dim];

vector<pii> V[dim];

struct comp{
    bool operator()(int a,int b){
        return d[a]>d[b];
    }
};

priority_queue<int,vector<int>,comp>Q;

void djk(){
    for(int i=2;i<=n;++i) d[i]=inf;
    v[1]=1;
    Q.push(1);
    
    while(!Q.empty()){
        int nd=Q.top();
        v[nd]=0;
        Q.pop();
        
        for(auto vec:V[nd]){
            int cst=vec.second;
            int nbr=vec.first;
            if(d[nbr]>d[nd]+cst){
                d[nbr]=d[nd]+cst;
                if(!v[nbr]){
                    Q.push(nbr);
                    v[nbr]=1;
                }
            }
        }
        
    }
}

int main() 
{
    cin>>n>>m;
    for(;m;--m){
        int a,b,c;
        cin>>a>>b>>c;
        V[a].push_back({b,c});
    }
    
    djk();
    for(int i=2;i<=n;++i) cout<<d[i]<<" "; 
    
    return 0;
}