#include<fstream>
#include<vector>
#include<set>
using namespace std;
ifstream cin("dijkstra.in");
ofstream cout("dijkstra.out");
vector<pair<unsigned short,int>> a[50001];
set<pair<int,int>> h;
int d[50001];
int main()
{
    unsigned short n;
    int m;
    for(cin>>n>>m;m--;) {
        int i,j,k;
        cin>>i>>j>>k,a[i].push_back({j,k});
    }
    for(int i=2;i<=n;d[i]=2e9,h.insert({d[i],i}),++i);
    for(h.insert({0,1});!h.empty();) {
        int i=(*h.begin()).second;
        h.erase(h.begin());
        for(auto j:a[i])
            if(d[j.first]>d[i]+j.second)
                h.erase({d[j.first],j.first}),d[j.first]=d[i]+j.second,h.insert({d[j.first],j.first});
    }
    for(int i=2;i<=n;cout<<(d[i]==2e9?0:d[i])<<' ',++i);
    return 0;
}