#include <iostream>
#include <fstream>
#include <algorithm>
#include <queue>
#include <set>

using namespace std;

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

const int INF = (1<<30);

vector<pair <int,int> >  H[50002];
queue <int> Q;
int sol[50001];


int main()
{
    int n,m;
    int i,j;
    in>>n>>m;
    for(i=1;i<=n;i++)
    {
        int nod1,nod2,cost;
        in>>nod1>>nod2>>cost;
        H[nod1].push_back(make_pair(nod2,cost));
    }
    for(i=1;i<=n;i++)
    {
        sol[i]=INF;
    }
    Q.push(1);
    sol[1]=0;

    while(Q.empty()==0)
    {
        int nod=Q.front();
        Q.pop();
        for(i=0;i<H[nod].size();i++)
        {
            if(sol[H[nod][i].first] > sol[nod] + H[nod][i].second)
            {
            sol[H[nod][i].first]=sol[nod]+H[nod][i].second;
            Q.push(H[nod][i].first);
            }
        }
    }
    for(int i=2;i<=n;i++)
    {
        out<<sol[i]<<" ";
    }
}