using namespace std;
#include<iostream>
#include<fstream>
#include<vector>
#include<queue>
struct nod{
    int lg,c;
};
#define nmax 50010
#define pb push_back
#define oo 0x3f3f3f3f
vector<nod> G[nmax];
queue<int> q;
int N,M;
int isinq[nmax],dp[nmax];
ofstream fout("dijkstra.out");
void solve()
{   int i,u;
    for(i=0;i<=N;i++)
    {
        isinq[i]=0;
        dp[i]=oo;
    }
    q.push(1);
    dp[1]=0;
    isinq[1]=1;
    vector<nod>::iterator it;
    while(!q.empty())
    {
        u=q.front();
        q.pop();
        isinq[u]=0;
        for(it=G[u].begin();it<G[u].end();it++)
        {
            if(dp[it->lg]>dp[u]+it->c)
            {
                dp[it->lg]=dp[u]+it->c;
                if(!isinq[it->lg])
                {
                    q.push(it->lg);
                    isinq[it->lg]=1;
                }
            }
        }
    }
    for(i=2;i<=N;i++)
    {
        fout<<dp[i]<<" ";
    }
    fout<<"\n";
}

void cit()
{
    ifstream fin("dijkstra.in");
    int i,j,x,y,c;
    fin>>N>>M;
    for(i=1;i<=M;i++)
    {
        fin>>x>>y>>c;
        G[x].pb((nod){y,c});
    }
    fin.close();
}

int main()
{
    cit();
    solve();
    fout.close();
    return 0;
}