#include <bits/stdc++.h>

using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int n,m,dp[50005];
const int inf = 2000000000;
struct el
{
    int nod,dist;
    bool operator < (const el &A) const
    {
        return dist > A.dist;
    }
};
priority_queue <el> q;
vector <el> L[50005];
el A;
inline void Read()
{
    int i,x,y,z;
    fin>>n>>m;
    for(i = 2; i <= n; i++) dp[i] = inf;
    for(i = 1; i <= m; i++)
    {
        fin>>x>>y>>z;
        A.nod = y, A.dist = z;
        L[x].push_back(A);
    }
}
inline void BFS()
{
    int i,j;
    A.dist = 0, A.nod = 1;
    q.push(A);
    while(!q.empty())
    {
        A = q.top();
        q.pop();
        for(i = 0; i < L[A.nod].size(); i++)
        {
            if(dp[L[A.nod][i].nod] > dp[A.nod]+L[A.nod][i].dist)
            {
                dp[L[A.nod][i].nod] = dp[A.nod]+L[A.nod][i].dist;
                q.push(L[A.nod][i]);
            }
        }
    }
}

inline void Output()
{
    for(int i = 2; i <= n; i++) (dp[i] == inf ? fout << 0 << " " : fout << dp[i] << " ");
    fout<<"\n";
    fout.close();
}

int main()
{
    Read();
    BFS();
    Output();
    return 0;
}