#include <fstream>
#define NMAX 50001
#define MMAX 250001
#define INF 1e9
#include <vector>
#include <queue>
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n,m,start=1;
struct varf
{
    int x,c;
    friend bool operator < (varf a,varf b);
};
bool operator < (varf a, varf b)
{
    return a.c>b.c;
}
vector<varf> G[NMAX];
priority_queue<varf> H;
int pre[NMAX],cmin[NMAX];
bool uz[NMAX];
void dijkstra();
int main()
{
    int i,x,y,c;
    fin>>n>>m;
    for(i=1;i<=m;i++)
    {
        fin>>x>>y>>c;
        G[x].push_back({y,c});
    }
    dijkstra();
    for(i=2;i<=n;i++)
        if(cmin[i]==INF) fout<<0<<' ';
        else fout<<cmin[i]<<' ';
    return 0;
}

void dijkstra()
{
    int i,vf,vfmin,c,cost;
    for(i=1;i<=n;i++) {pre[i]=start; cmin[i]=INF;}
    pre[start]=cmin[start]=0;
    H.push({start,0});
    while(!H.empty())
    {
        vfmin=H.top().x;
        c=H.top().c; H.pop();
        if(uz[vfmin]) continue;
        uz[vfmin]=1;
        for(i=0;i<G[vfmin].size();i++)
        {
            vf=G[vfmin][i].x;
            cost=G[vfmin][i].c;
            if(!uz[vf] && cmin[vf]>cmin[vfmin]+cost)
            {
                cmin[vf]=cmin[vfmin]+cost;
                pre[vf]=vfmin;
                H.push({vf,cmin[vf]});
            }
        }
    }
}