#include <fstream>
#include <vector>
#include <queue>
#include <climits>

using namespace std;

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

const int INF = INT_MAX;

vector < vector < pair <int,int> > > adjList;
priority_queue < pair <int,int>, vector < pair <int,int> >, greater < pair <int,int> > > pq;
vector <int> dist;

int main()
{
    int n,m,x,y,z;
    pair <int,int> lemq;
    fin>>n>>m;
    adjList.resize(n + 1);
    dist.resize(n + 1,INF);
    for(int i = 1; i <= m;i++)
    {
        fin>>x>>y>>z;
        lemq.first = z;
        lemq.second = y;
        adjList[x].push_back(lemq);
    }
    dist[1] = 0;
    for(auto i : adjList[1])
    {
        pq.push(i);
        dist[i.second] = i.first;
    }
    while(!pq.empty()){
        pair<int,int> cand  = pq.top();
        pq.pop();
        for(auto i : adjList[cand.second])
        {
            if(dist[i.second] > cand.first + i.first)
            {
                dist[i.second] = cand.first + i.first;
                pq.push({dist[i.second],i.second});
            }

        }
    }
    for(int i = 2;i <= n;i++)
    {
        dist[i] %= INT_MAX;
        fout<<dist[i]<<" ";
    }
    return 0;
}