#include <bits/stdc++.h>
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
struct ceva
{
    int nod,dist;
}gr;
queue<int>q;
vector<ceva>v[50010];
int n,m,d[50010],i,j,a,b,c,x,nod,fr[50010];
bool viz[50010];
int main()
{
    fin>>n>>m;
    for(i=1;i<=n;i++)
        d[i]=INT_MAX;
    for(i=1;i<=m;i++)
    {
        fin>>a>>b>>c;
        fr[b]++;
        gr.nod=b;
        gr.dist=c;
        v[a].push_back(gr);
    }
    q.push(1);
    viz[1]=1;
    d[1]=0;
    while(!q.empty())
    {
        nod=q.front();
        x=v[nod].size();
        for(i=0;i<x;i++)
        {
            fr[v[nod][i].nod]--;
            d[v[nod][i].nod]=
            min(d[v[nod][i].nod],d[nod]+v[nod][i].dist);
            if(fr[v[nod][i].nod]==0 && viz[v[nod][i].nod]==0)
                q.push(v[nod][i].nod) , viz[v[nod][i].nod]=1;
        }
        q.pop();
    }
    for(i=2;i<=n;i++)
        fout<<d[i]<<" ";
    return 0;
}