#include <fstream>
#include <vector>
#include <queue>

#define ll long long

using namespace std;

ifstream cin ("dijkstra.in");
ofstream cout ("dijkstra.out");

ll n,m,i,a,b,c;

struct element
{
    ll mini=999999;
    bool seen;
    vector <pair<ll,ll> > sz;
};
//vector <element> x;

struct q
{
    ll len,to;
};

priority_queue <q> que;

bool operator< (const q &a, const q &b)
{
    return a.len>b.len;
}

q act;
int main()
{
    cin>>n>>m;
    vector <element> x(n+1);
    for (i=1;i<=m;++i)
    {
        cin>>a>>b>>c;
        x[a].sz.push_back({b,c});
    }

    que.push({0,1});
//    x[1].seen=true;

    while (!que.empty())
    {
        act=que.top();
        while (!que.empty()&&x[act.to].seen)
        {
           que.pop();
           if (!que.empty()) act=que.top();
        }

        if (que.empty()) break;

        que.pop();
        x[act.to].seen=true;
        x[act.to].mini=act.len;
        for (auto &e:x[act.to].sz)
        {
            if (!x[e.first].seen)
            {
                if ((act.len+e.second)<x[e.first].mini)
                {
                    x[e.first].mini=act.len+e.second;
                    que.push({act.len+e.second,e.first});
                }
            }
        }
    }

    for (i=2;i<=n;++i) cout<<x[i].mini<<" ";
    return 0;
}