#include <fstream>
#include <iostream>
#include <vector>
#include <queue>
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
#define NMAX 50005
#define pp pair<int, int>
const int oo = (1 << 31) - 1;
vector<pp> g[NMAX];
vector<int> dist;
int n, m;
void solve()
{
    priority_queue<pp, vector<pp>, greater<pp>> q;
    q.push({0, 1});
    dist.resize(n + 1, oo);
    while (!q.empty())
    {
        auto x = q.top();
        q.pop();

        if (dist[x.second] == oo)
        {
            dist[x.second] = x.first;

            for (auto i : g[x.second])
            {
                if (dist[i.first] == oo)
                {
                    q.push({x.first + i.second, i.first});
                }
            }
        }
    }
}
int main()
{
    fin >> n >> m;
    for (int i = 0; i < m; i++)
    {
        int a, b, c;
        fin >> a >> b >> c;
        g[a].push_back({b, c});
    }
    solve();
    for (int i = 2; i <= n; i++)
    {
        fout << dist[i] << " ";
    }
    return 0;
}