#include <iostream>
#include <stdio.h>
#include <vector>
#include <cstring>
#include <set>
#define INFINIT 999999
#define NMax 50005
using namespace std;
vector<int> Graf[NMax],Cost[NMax];
set<pair<int,int> > Heap;
int N,M,x,y,z;
int Dist[NMax];

void Read()
{
    scanf("%d%d",&N,&M);
    for(int i=1;i<=M;i++)
    {
        scanf("%d%d%d",&x,&y,&z);
        Graf[x].push_back(y);
        Cost[x].push_back(z);
    }
}

void Dijkstra()
{
    memset(Dist,INFINIT,sizeof(Dist));
    Heap.insert(make_pair(0,1));
    Dist[1]=0;
    while(Heap.empty()==false)
    {
        int cost=(*Heap.begin()).first;
        int nod=(*Heap.begin()).second;
        Heap.erase(Heap.begin());
        for(int i=0;i<Graf[nod].size();i++)
            if(Dist[Graf[nod][i]]>Dist[nod]+Cost[nod][i])
            {
                Dist[Graf[nod][i]]=Dist[nod]+Cost[nod][i];
                Heap.insert(make_pair(Dist[Graf[nod][i]],Graf[nod][i]));
            }
    }
}

void Write()
{
    for(int i=2;i<=N;i++)
        if(Dist[i]==INFINIT)
        printf("0 ");
        else printf("%d ",Dist[i]);
}

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