#include <bits/stdc++.h>
#define M 50005
using namespace std;
ifstream in("dijkstra.in");
ofstream out("dijkstra.out");

int INF=INT_MAX-1;
vector<pair<int,int> >lista[M];
int n,m,dist[M];
bool viz[M];
struct compara{
    bool operator()(int x,int y)
    {
        return dist[x]>dist[y];
    }
};
priority_queue<int, vector<int>, compara>q;

void dijkstra(int node)
{
    for(int i=1;i<=n;i++)
    {
        dist[i]=INF;
        viz[i]=false;
    }
    dist[node]=0;
    q.push(node);
    while(!q.empty())
    {
        int a=q.top();
        q.pop();
        if(viz[a])
            continue;
        viz[a]=true;
        for(auto b:lista[a])
        {
            if(dist[a]+b.second<dist[b.first])
            {
                dist[b.first]=dist[a]+b.second;
                q.push(b.first);
            }
        }
    }
}
int main()
{
    in>>n>>m;
    for(int i=1;i<=m;i++)
    {
        int x,y,d;
        in>>x>>y>>d;
        lista[x].push_back({y,d});
    }
    dijkstra(1);
    for(int i=2;i<=n;i++)
    {
            out<<dist[i]<<' ';
    }
    return 0;
}