#include <iostream>
#include <fstream>
#include <queue>
#include <vector>
#include <bitset>

#define nod first
#define cost second

using namespace std;

ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");

const int N = 5 * 1e5 + 1, INF = 1e9 + 1;
vector <pair<int, int>> adj[N];
priority_queue <int, vector<int>, greater<int>> pq;
bitset <N> viz;

vector <int> costuri(N, INF);

void djk(int nod){
    pq.push(nod);
    viz[nod] = 1;
    costuri[nod] = 0;
    while(!pq.empty()){
        int next_nod = pq.top();
        pq.pop();
        for(auto vec : adj[next_nod]){
            if(costuri[vec.nod] > costuri[next_nod] + vec.cost){
                if(!viz[vec.nod]){
                    costuri[vec.nod] = costuri[next_nod] + vec.cost;
                    pq.push(vec.nod);
                }
            }

        }
    }
}

int main() {
    int n, m;
    fin >> n >> m;
    for(int i = 0; i < m; i++){
        int a, b, c;
        fin >> a >> b >> c;
        adj[a].push_back({b, c});
        adj[b].push_back({a, c});
    }
    int src = 1;
    djk(src);
    for(int i = 2; i <= n; i++) fout << costuri[i] << " ";
    return 0;
}