#include <fstream>
#include <vector>
#include <queue>
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n,m,d[50001];
struct numar
{
    int x,c;
};
vector <numar> A[50001];
struct cmp
{
    bool operator () (const numar& a, const numar& b)
    {
        return a.c>b.c;
    }
};

priority_queue< numar, vector <numar> , cmp> q;
int main()
{
    fin>>n>>m;
    for(int i=1;i<=m;i++)
    {
        int x,y,c;
        fin>>x>>y>>c;
        A[x].push_back({y,c});

    }
    for(int i=1;i<=n;i++)
    {
        d[i]=100000001;
    }
    d[1]=0;
    q.push({1,0});
    while(!q.empty())
    {
        int val=q.top().c;
        int x=q.top().x;
        q.pop();
        if(val!=d[x])
            continue;
        for(auto i :A[x])
        {
            int y=i.x;
            int c=i.c;
            if(d[y]>d[x]+c)
            {
                d[y]=d[x]+c;
                q.push({y,d[y]});
            }
        }
    }
    for(int i=2;i<=n;i++)
        fout<<d[i]<<" ";
    return 0;
}