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

using namespace std;

ifstream cin("dijkstra.in");
ofstream cout("dijkstra.out");

struct ceva{
    int nod, cost;

    bool operator<(const ceva &temp) const
    {
        return cost > temp.cost;
    }
};

int n, m;

vector<vector<ceva> > adj;
vector<int> dist;
vector<int> vizitat;
void distra(int startingNode)
{
    priority_queue<ceva> q;
    dist[1] = 0;
    q.push({1, 0});
    while(!q.empty())
    {
        ceva nod = q.top();
        q.pop();
        for(auto vecin : adj[nod.nod])
        {
            if(!vizitat[vecin.nod])
            {
                if(dist[vecin.nod] > dist[nod.nod] + vecin.cost)
                {
                    dist[vecin.nod] = dist[nod.nod] + vecin.cost;
                    q.push({vecin.nod, dist[vecin.nod]});
                }
            }
        }
    }
}

int main()
{
    cin>>n>>m;
    adj.resize(n+1);
    dist.resize(n+1, INT_MAX);
    vizitat.resize(n+1, false);
    for(int i = 1; i <= m;i++)
    {
        int x, y, cost;
        cin>>x>>y>>cost;
        adj[x].push_back({y, cost});
    }
    distra(1);
    for(int i = 2;i<=n;i++)
        if(dist[i] == INT_MAX)
            cout<<0<<" ";
        else cout << dist[i]<<" ";
}