#include <fstream>
#include <vector>
#include <set>
#define INF 0x3f3f3f3f
using namespace std;

ifstream is("dijkstra.in");
ofstream os("dijkstra.out");

int n, m;
vector<int> d;
vector<vector<pair<int, int>>> g;

int main()
{
    is >> n >> m;
    g = vector<vector<pair<int, int>>>(n + 1);
    int a, b, c;
    while ( m-- )
    {
        is >> a >> b >> c;
        g[a].push_back(make_pair(c, b));
    }
    d = vector<int>(n + 1, INF);
    d[1] = 0;
    set<pair<int, int>> s;
    s.insert(make_pair(0, 1));
    int nod, cost;
    while ( !s.empty() )
    {
        nod = s.begin()->second;
        cost = s.begin()->first;
        s.erase(s.begin());
        if ( cost > d[nod] )
            continue;
        for ( const auto& nodv : g[nod] )
            if ( d[nodv.second] > d[nod] + nodv.first )
            {
                d[nodv.second] = d[nod] + nodv.first;
                s.insert(make_pair(d[nodv.second], nodv.second));
            }
    }
    for ( int i = 2; i <= n; ++i )
        if ( d[i] == INF )
            os << "0 ";
        else
            os << d[i] << " ";
    is.close();
    os.close();
    return 0;
}