#include <bits/stdc++.h>
#define st first
#define nd second
#define pb push_back
#define N 50005
using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
typedef long long ll;
int n,m,dist[N],x,y,c;
bool use[N];
pair <int,int> t;
vector <pair<int,int > > g[N];
priority_queue<pair <int,int> , vector <pair <int,int> >, std::greater<pair <int,int> > > pq;
int main()
{
    fin>>n>>m;
    for(int i=1;i<=m;i++)
    {
        fin>>x>>y>>c;
        g[x].pb({y,c});
    }
    for(int i=2;i<=n;i++)
        dist[i]=INT_MAX;
    pq.push({1,0});
    while(!pq.empty())
    {
        t=pq.top();
        use[t.st]=0;
        pq.pop();
        for(auto it : g[t.st])
        {
            if(dist[it.st]>dist[t.st]+it.nd)
            {
                dist[it.st]=dist[t.st]+it.nd;
                if(!use[it.st])
                {
                    use[it.st]=1;
                    pq.push(it);
                }
            }
        }
    }
    for(int i=2;i<=n;i++)
        fout<<dist[i]<<' ';
    return 0;
}