#include <iostream>
#include<vector>
#include<queue>
using namespace std;
vector<pair<int,int>> muchii[50001];
priority_queue<int> pq;
const int INF=2e9;
int dist[100001];
int main()
{
    int n,m,a,b,c;
    cin>>n>>m;
    for(int i=1; i<=m; i++)
    {
        cin>>a>>b>>c;
        muchii[a].push_back(make_pair(b,c));
    }
    pq.push(1);
    dist[1]=0;
    for(int i=2; i<=n; i++)
    {
        dist[i]=INF;
    }
    while(!pq.empty())
    {
        int nod=pq.top();
        pq.pop();
        for(int i=0; i<muchii[nod].size(); i++)
        {
            int urm=muchii[nod][i].first;
            int dis=muchii[nod][i].second;
            if(dist[nod]+dis<dist[urm])
            {
                dist[urm]=dist[nod]+dis;
                pq.push(urm);
            }
        }
    }
    for(int i=2; i<=n; i++)
    {
        cout<<dist[i]<<" ";
    }
    return 0;
}