#include <fstream>
#include <iostream>
#include <vector>
#include <bitset>
#include <string.h>
#include <algorithm>
#include <iomanip>
#include <math.h>
#include <time.h>
#include <stdlib.h>
#include <set>
#include <map>
#include <string>
#include <queue>
#include <deque>

using namespace std;

const char infile[] = "dijkstra.in";
const char outfile[] = "dijkstra.out";

ifstream fin(infile);
ofstream fout(outfile);

const int MAXN = 100005;
const int oo = 0x3f3f3f3f;

typedef vector<int> Graph[MAXN];
typedef vector<int> :: iterator It;

const inline int min(const int &a, const int &b) { if( a > b ) return b;   return a; }
const inline int max(const int &a, const int &b) { if( a < b ) return b;   return a; }
const inline void Get_min(int &a, const int b)    { if( a > b ) a = b; }
const inline void Get_max(int &a, const int b)    { if( a < b ) a = b; }

class DirectedGraph {
private:
    vector<vector <pair<int, int>>> adj;
public:
    DirectedGraph() {
    }
    DirectedGraph(int N) {
        adj.resize(N);
    }
    void addEdge(int x, int y, int z) {
        adj[x].push_back(make_pair(y, z));
    }
    vector <int> Dijkstra(int source) {
        vector <int> dist(adj.size(), oo);
        dist[source] = 0;
        priority_queue <pair<int, int>, vector <pair<int, int>>, greater <pair<int, int> > > Q;
        for(Q.push(make_pair(dist[source], source)) ; !Q.empty() ; Q.pop()) {
           int node = Q.top().second;
           int cost = Q.top().first;
           //Q.pop();
           if(dist[node] < cost)
                continue;
           for(auto it : adj[node])
                if(dist[it.first] > cost + it.second) {
                    dist[it.first] = cost + it.second;
                    Q.push(make_pair(dist[it.first], it.first));
                }
        }
        return dist;
    }
};

int N, M;

int main() {
    fin >> N >> M;
    DirectedGraph G(N);
    while(M --) {
        int x, y, z;
        fin >> x >> y >> z;
        -- x; -- y;
        G.addEdge(x, y, z);
    }
    vector <int> ans = G.Dijkstra(0);
    for(int i = 1 ; i < static_cast<int>(ans.size()) ; ++ i) {
        if(ans[i] == oo)
            ans[i] = 0;
        fout << ans[i] << ' ';
    }
    fin.close();
    fout.close();
    return 0;
}