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

using namespace std;

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

const int NMax = 50005;
const int oo = (1 << 30);

int n, m;
int d[NMax];
bool use[NMax];

vector <pair <int, int> > g[NMax];

struct compara
{
    bool operator()(int x, int y)
    {
        return d[x] > d[y];
    }
};

priority_queue <int, vector<int>, compara> Q;

void read()
{
    fin >> n >> m;
    for(int i = 1; i <= m;  i++)
    {
        int x, y, c;
        fin >> x >> y >> c;
        g[x].push_back(make_pair(y, c));
    }
}

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

    d[nod] = 0;

    Q.push(nod);
    use[nod] = true;

    while(!Q.empty())
    {
        int nod = Q.top();
        Q.pop();

        use[nod] = false;
        for(size_t i = 0; i < g[nod].size(); i++)
        {
            int v = g[nod][i].first;
            int c = g[nod][i].second;
            if(d[nod] + c < d[v])
            {
                d[v] = d[nod] + c;
                if(use[v] == false)
                {
                    Q.push(v);
                    use[v] = true;
                }
            }
        }

    }

}

print()
{
    for(int i = 2; i <= n; i++)
        if(d[i] != oo)
            fout << d[i] << " ";
        else
            fout << 0 << " ";
}

int main()
{
    read();
    dijkstra(1);
    print();
    return 0;
}