#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
using namespace std;

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

const int Dim = 50002, Inf = 0x3f3f3f3f;

struct Nod
{
    int x, dist;
    bool operator < ( const Nod &y ) const
    {
        return dist > y.dist;
    }
};

int n, m;
vector<int> d;
vector<vector<pair<int, int>>> G;
priority_queue<Nod> Q;

void Read();
void Dijkstra(int a);

int main()
{
    Read();
    Dijkstra(1);
    for (int i = 2; i <= n; ++i)
        if ( d[i] != Inf )
            fout << d[i] << ' ';
        else
            fout << 0 << ' ';
    fout.close();
    return 0;
}

void Read()
{
    fin >> n >> m;
    G = vector<vector<pair<int, int>>> (n + 1);
    int x, y ,z;
    for ( int i = 1; i <= m; i++ )
    {
        fin >> x >> y >> z;
        G[x].push_back({y, z});
    }
}

void Dijkstra(int a)
{
    d = vector<int>(n + 1, Inf);
    d[a] = 0;
    Q.push({a, 0});
    int x, dist, y, dt;
    while( !Q.empty() )
    {
        x = Q.top().x;
        dist = Q.top().dist;
        Q.pop();
        if ( d[x] < dist )
            continue;
        for ( auto z : G[x] )
        {
            y = z.first; dt = z.second;
            if ( d[y] > dt + d[x] )
            {
                d[y] = dt + d[x];
                Q.push({y, d[y]});
            }

        }
    }
}