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

using namespace std;
ifstream cin("dijkstra.in");
ofstream cout("dijkstra.out");
int d[200005],pred[200005];
vector<pair<int,int>> v[200005],ans;
priority_queue<pair<int,int>> q;
bool inq[200005];
int main()
{
    int n,m;
    cin>>n>>m;
    for(int i=2;i<=n;i++)
        d[i]=1<<30;
    for(int i=1;i<=m;i++)
    {
        int x,y,c;
        cin>>x>>y>>c;
        v[x].push_back({y,c});
    }
    q.push({0,1});
    while(!q.empty())
    {
        int x=q.top().second;
        //cout<<x<<" ";
        q.pop();
        if(inq[x])
           continue;
        inq[x]=true;
        for(auto i:v[x])
        {
            int y=i.first,c=i.second;
            //cout<<x<<" "<<y<<"\n";
            if(!inq[y] && d[y]>c+d[x])
               d[y]=c+d[x],q.push({-c-d[x],y});
        }
    }
    for(int i=2;i<=n;i++)
        cout<<d[i]<<" ";
    return 0;
}