#include <fstream>
#include <queue>
#include <vector>
#include <string.h>

using namespace std;

ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");

vector <pair<int,int>> a[500005];
priority_queue <pair<int,int>> h;

int n,m;
int x,y,c;
int d[50005];
bool viz[50005],prel[50005];

int main()
{
    fin>>n>>m;
    for (int i=0;i<m;i++) {
        fin>>x>>y>>c;
        a[x].push_back(make_pair(y,c));
    }
    d[1]=0;
    //memset(d,250000,n);
    for (int i = 1; i <= n; i++) {
        d[i] = 1000000000;
    }
    d[1] = 0;
    h.push(make_pair(0,1));
    while (!h.empty()) {
        do {
            x=h.top().second;
            h.pop();
        }while (!h.empty() && prel[x]);
       //fout<<"sel vf:"<<x<<'\n';
        prel[x]=true;
        //d[x]=-d[x];
        for (int i=0;i<a[x].size();i++) {
            y=a[x][i].first;
            if (d[x]+a[x][i].second<d[y])
                d[y]=d[x]+a[x][i].second;
            h.push(make_pair(-d[y],y));
        }
    }
    for (int i=2;i<=n;i++) fout<<d[i]<<' ';
}