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

struct str{
    int x, y;
    str( int xnew, int ynew ) {
        x = xnew;
        y = ynew;
    }
};

struct strcmp{
    bool operator()(str x, str y) {
        return x.y > y.y;
    }
};

std::vector < std::vector < str > > g;
std::vector < int > d;
std::priority_queue < str, std::vector < str >, strcmp > h;

int main( ) {
    std::ifstream fin("dijkstra.in");
    int n, m;
    fin >> n >> m;
    g.resize(n);
    for ( int i = 0; i < m; ++ i ) {
        int x, y, z;
        fin >> x >> y >> z;
        g[x-1].push_back(str(y-1, z));
        g[y-1].push_back(str(x-1, z));
    }
    fin.close();

    d.resize(n, -1);
    d[0] = 0;
    h.push(str(0, 0));
    while ( h.empty() == 0 ) {
        int x = h.top().x;
        int y = h.top().y;
        h.pop();
        if ( d[x] == y ) {
            for ( int i = 0; i < int(g[x].size()); ++ i ) {
                int xn = g[x][i].x;
                int yn = g[x][i].y;
                if ( d[xn] == -1 || d[xn] > d[x]+yn ) {
                    d[xn] = d[x]+yn;
                    h.push(str(xn, d[xn]));
                }
            }
        }
    }

    std::ofstream fout("dijkstra.out");
    for ( int i = 1; i < n; ++ i ) {
        fout << d[i] << " ";
    }
    fout << "\n";
    fout.close();
    return 0;
}