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

#define INF 999999999
#define SIZE_N 50003
#define SIZE_M 501

using namespace std;


int main()
{
    ifstream inStream("dijkstra.in");
    ofstream outStream("dijkstra.out");

    int d[SIZE_N];

    int n, m;
    vector< pair<int, int> > listaAdiacenta[SIZE_N];
    int nodA, nodB, cost;
    priority_queue<int, vector<int>, greater<int> > coada;

    inStream >> n >> m;
    for(int i = 0; i < m; i++) {
       inStream >> nodA >> nodB >> cost;
       listaAdiacenta[nodA].push_back(make_pair(cost, nodB));
    }

    for(int i = 2; i <= n; i++) d[i] = INF;
    d[1] = 0;
    coada.push(1);

    while(!coada.empty()) {
        int nod = coada.top();
        coada.pop();
        for(int i = 0; i < listaAdiacenta[nod].size(); i++) {
            if(d[ listaAdiacenta[nod][i].second ] > listaAdiacenta[nod][i].first + d[nod]) {
                coada.push(listaAdiacenta[nod][i].second);
                d[ listaAdiacenta[nod][i].second ] = listaAdiacenta[nod][i].first + d[nod];

            }
        }
    }

    for(int i = 2; i <= n; i++) {
        outStream << ((d[i] == INF)?0:d[i]) << " ";
    }

    return 0;
}