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

using namespace std;

const int N = 50001;
const int INF = 1e9 + 1;

vector <pair <int, int> > succesori[N];
bitset <N> selectat;
priority_queue <pair <int, int> > h;
int d[N], n, m;

void dijkstra(int x0)
{
    for (int i = 1; i <= n; i++)
    {
        d[i] = INF;

    }
    d[x0] = 0;
    h.push({0, x0});
    while (!h.empty())
    {
        int x = h.top().second;
        h.pop();
        if (selectat[x]) continue;
        selectat[x] = 1;
        for (auto p: succesori[x])
        {
            int y = p.first;
            int c = p.second;
            if (d[x] + c < d[y])
            {
                d[y] = d[x] + c;
                h.push({-d[y], y});
            }
        }
    }
}

int main()
{
    ifstream in("dijkstra.in");
    ofstream out("dijkstra.out");
    in >> n >> m;
    for (int i = 0; i < m; i++)
    {
        int x, y, c;
        in >> x >> y >> c;
        succesori[x].push_back({y, c});
    }
    dijkstra(1);
    for (int i = 2; i <= n; i++)
    {
        if (d[i] == INF)
        {
            d[i] = 0;
        }
        out << d[i] << " ";
    }
    in.close();
    out.close();
    return 0;
}