#include <fstream>
#include <climits>
#include <vector>
#include <queue>
#define nmax 50002
using namespace std;
ifstream cin("dijkstra.in");
ofstream cout("dijkstra.out");
int n,m,x,y,c,d[nmax];
struct arc{
int nod,cost;
};
vector<arc>v[nmax];
struct cmp{
    bool operator()(const int& a,const int& b){
        if(d[a]==d[b])
            return a>b;
        return d[a]>d[b];
    }
};
priority_queue<int,vector<int>,cmp>q;
int main()
{
    cin>>n>>m;
    for(int i=1;i<=m;i++){
        cin>>x>>y>>c;
        v[x].push_back({y,c});
    }
    for(int i=2;i<=n;i++){
        d[i]=INT_MAX;
        q.push(i);
    }
    q.push(1);
    while(!q.empty()){
        int p=q.top();
        q.pop();
        for(auto i: v[p])
            if(d[i.nod]>d[p]+i.cost){
                d[i.nod]=d[p]+i.cost;
            }
    }
    for(int i=2;i<=n;i++){
        if(d[i]==INT_MAX)
            d[i]=0;
        cout<<d[i]<<" ";
    }
    return 0;
}