#include <bits/stdc++.h>

using namespace std;
ifstream in("dijkstra.in");
ofstream out("dijkstra.out");
#define NMAX 50001
struct edge{
    int dest, cost;
    bool operator <(const edge&aux)const{
        return cost>aux.cost;
    }
}aux;
int n,m,dist[50001];
vector <edge>g[NMAX];
priority_queue <edge>pq;
void dijkstra(){
    aux.dest=1;
    aux.cost=0;
    pq.push(aux);
    while(!pq.empty()){
        int node=pq.top().dest;
        int cost=pq.top().cost;
        pq.pop();
       if(dist[node]==-1){
        dist[node]=cost;
        for(auto y:g[node]){
            if(dist[y.dest]==-1){
                aux.dest=y.dest;
                aux.cost=dist[node]+y.cost;
                pq.push(aux);
            }
        }
       }
    }
}
int main()
{
    in>>n>>m;
    for(int i=1;i<=n;i++){
        int x,y,c;
        in>>x>>y>>c;
        aux.cost=c;
        aux.dest=y;
        g[x].push_back(aux);
    }
    memset(dist,-1,sizeof(dist));
    dijkstra();
    for(int i=2;i<=n;i++){
        if(dist[i]!=-1)
            out<<dist[i]<<" ";
        else
            out<<0<<" ";
    }
    return 0;
}