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

using namespace std;

ifstream f("dijkstra.in");
ofstream g("dijkstra.out");

typedef pair < int, int > PII;

const int NMAX = 5e4 + 1;
const int INF = 1e9;

int N, M;

vector < PII > G[NMAX];

auto cmp = [] (PII A, PII B)
{
    if(!(A.first < B.first))
        return 1;

    return 0;
};
priority_queue < PII, vector < PII >, decltype(cmp) > H(cmp);

int d[NMAX];
bool Sel[NMAX];

static inline void Read ()
{
    f.tie(nullptr);

    f >> N >> M;

    for(int i = 1; i <= M; ++i)
    {
        int X = 0, Y = 0, C = 0;
        f >> X >> Y >> C;

        G[X].push_back({C, Y});
    }

    return;
}

static inline void Initialize ()
{
    for(int i = 1; i <= N; ++i)
        d[i] = INF, Sel[i] = 0;

    return;
}

static inline void Solve ()
{
    Initialize();

    d[1] = 0, Sel[1] = 1;

    for(auto it : G[1])
        if(it.first < d[it.second])
            d[it.second] = it.first, H.push(it);

    while(!H.empty())
    {
        while(!H.empty() && Sel[H.top().second])
            H.pop();

        if(H.empty())
            return;

        int Node = H.top().second, Cost = H.top().first;

        Sel[Node] = 1, H.pop();

        for(auto it : G[Node])
            if(Cost + it.first < d[it.second])
                d[it.second] = Cost + it.first, H.push({d[it.second], it.second});
    }

    return;
}

static inline void Write ()
{
    for(int i = 2; i <= N; ++i)
    {
        g << ((d[i] == INF) ? 0 : d[i]);

        if(i != N)
            g << ' ';
    }

    g << '\n';

    return;
}

int main()
{
    Read();

    Solve();

    Write();

    return 0;
}