#include <fstream>
#include <queue>
#include <vector>
using namespace std;
ifstream cin("dijkstra.in");
ofstream cout("dijkstra.out");
#define MAXN 50005
#define INF 0x3f3f3f3f

struct rct
{
    int nod,cost;
}act,nod;

class comp{
public:
    bool operator() (rct A, rct B)
    {
        return A.cost > B.cost;
    }
};

vector<rct> graf[MAXN];
priority_queue<rct, vector<rct>, comp> coada;
int d[MAXN];
int n,m,i,j,x,y,z;

int main()
{
    cin>>n>>m;
    for(i=1; i<=m; i++)
    {
        cin>>x>>y>>z;
        act.nod=y; act.cost=z;
        graf[x].push_back(act);
    }
    for(i=2; i<=n; i++)
        d[i]=INF;

    act.nod=1; act.cost=0;
    coada.push(act);
    while(!coada.empty())
    {
        nod=coada.top(); coada.pop();
        if(nod.cost != d[ nod.nod ])
            continue;

        for(i=0; i<graf[nod.nod].size(); i++)
        {
            if(d[ graf[nod.nod][i].nod ] > d[nod.nod] + graf[nod.nod][i].cost)
            {
                d[ graf[nod.nod][i].nod ] = d[nod.nod] + graf[nod.nod][i].cost;
                act.nod = graf[nod.nod][i].nod;
                act.cost = d[ graf[nod.nod][i].nod ];
                coada.push(act);
            }
        }
    }
    for(i=2; i<=n; i++)
        cout<<d[i]<<" ";

    return 0;
}