#include <bits/stdc++.h>
#define NMAX 50001
#define MOD 2e9+10
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");

int dist[NMAX],n,m,x,y,c;
bool use[NMAX];
vector<pair<int,int>> v[NMAX];
set<pair<int,int>>q;
int main()
{
    fin>>n>>m;
    for(int i=1;i<=m;++i)
    {
        fin>>x>>y>>c;
        v[x].push_back({c,y});
    }

    dist[1]=0;
    for(int i=2;i<=n;++i)
        dist[i]=MOD;

    q.insert({0,1});
    while(q.empty()==false)
    {
        x=q.begin()->second;
        y=q.begin()->first;
        q.erase(q.begin());
        use[x]=1;

        if(dist[x]>=y)
            for(auto i:v[x])
                if(use[i.second]==0)
                {
                    if(dist[i.second]>dist[x]+i.first)
                        dist[i.second]=dist[x]+i.first;
                    q.insert({dist[i.second],i.second});
                }
    }

    for(int i=2;i<=n;++i)
        if(dist[i]==MOD)
            fout<<"0 ";
        else
            fout<<dist[i]<<" ";

    return 0;
}