#include <cstdio>
#include <algorithm>
#include <vector>
#include <set>

#define DIM 1666013
#define Nmax 50005
#define INF 0x3f3f3f3f

using namespace std;

char buffer[DIM];
int poz = DIM - 1;

void Scanf(int &A){
    A = 0;
    while('0' > buffer[poz] || buffer[poz] > '9')
        if(++poz == DIM)
            fread(buffer,1,DIM,stdin),poz = 0;
    while('0' <= buffer[poz] && buffer[poz] <= '9')
    {
        A = A * 10 + buffer[poz] - 48;
        if(++poz == DIM)
            fread(buffer,1,DIM,stdin),poz = 0;
    }
}

set<pair<int,int > > S;
vector<vector<pair<int,int> > > G;
vector<int> DP;

int N,M;

void Read()
{
    Scanf(N);Scanf(M);
    G.resize(N+1);
    int a,b,c;
    for(int i = 1; i <= M; ++i)
    {
        Scanf(a);Scanf(b);Scanf(c);
        G[a].push_back(make_pair(c,b));
    }
}

void Dijkstra(int k)
{
    DP.resize(N+1);
    DP.assign(N+1,INF);
    DP[1] = 0;
    S.insert(make_pair(0,k));
    for(int i = 2; i <= N; ++i)
        S.insert(make_pair(INF,i));
    set<pair<int,int> > ::iterator pz;
    int update = 1;
    while(update)
    {
        update = 0;
        ///printf("%d\n",S.size());
        k = S.begin()->second;
        S.erase(S.begin());
        for(vector<pair<int,int> >::iterator it = G[k].begin(); it != G[k].end(); ++it)
            if(DP[it->second] > DP[k] + it->first)
            {
                pz = lower_bound(S.begin(),S.end(),make_pair(DP[it->second],it->second));
                S.erase(pz);
                DP[it->second] = DP[k] + it->first;
                S.insert(make_pair(DP[it->second],it->second));
                update = 1;
            }
    }
    for(int i = 2; i <= N; ++i)
        if(DP[i] != INF)
            printf("%d ",DP[i]);
        else
            printf("0 ");
}

int main()
{
    freopen("dijkstra.in","r",stdin);
    freopen("dijkstra.out","w",stdout);

    Read();
    Dijkstra(1);

    return 0;
}