#include <bits/stdc++.h>
#define MOD 1000000007
#define NMAX  50500
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
struct poz{
    int first, second;
    bool operator<(poz b)const{
        if(second!=b.second)
            return second>b.second;
        return first<b.first;
    }

};
int n, m, dist[NMAX];
vector<pair<int,int>>v[NMAX];
priority_queue<poz>q;
void dijkstra()
{
    q.push({1, 0});
    dist[1]=0;
    int x, y;
    while(!q.empty())
    {
        x=q.top().first;
        y=q.top().second;
        q.pop();
        if(dist[x]!=y)
            continue;
        for(auto i:v[x])
            if(dist[i.first]>y+i.second)
            {
                dist[i.first]=y+i.second;
                q.push({i.first,dist[i.first]});
            }
    }
}
int x, y, c;
int main()
{
    fin>>n>>m;
    for(int i=1;i<=n;++i)
    {
        fin>>x>>y>>c;
        v[x].push_back({y,c});
    }
    for(int i=1;i<=n;++i)
        dist[i]=MOD;
    dijkstra();


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