#include <iostream>
#include <fstream>
#include <climits>
#include <queue>
#include <vector>

using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int dp[50005],ok[50005],n,m;
vector< pair<int, int> >G[50005];
struct cmp{
bool operator()(int x, int y)
{
    return dp[x]>dp[y];
}
};
priority_queue <int, vector <int>, cmp> Q;
void citire()
{
    fin>>n>>m;
    for(int i=1; i<=m; i++)
    {
        int x,y,c;
        fin>>x>>y>>c;
        G[x].push_back({y,c});
    }
    for(int i=2; i<=n; i++)
        dp[i]=INT_MAX/2;
}

void dijkstra()
{
    dp[1]=0;
    Q.push(1);
    ok[1]=1;
    while(!Q.empty())
    {
        int x=Q.top();
        Q.pop();
        ok[x]=0;
        for(auto &v:G[x])
        {
            int y=v.first;
            int cost=v.second;
            if(dp[y]>dp[x]+cost)
            {
                dp[y]=dp[x]+cost;
                if(ok[y]==0)
                {
                    Q.push(y);
                    ok[y]=1;
                }
            }
        }
    }
}
void afish()
{
    for(int i=2; i<=n; i++)
        if(dp[i]!=INT_MAX/2)fout<<dp[i]<<" ";
    else
        fout<<"0";
}
int main()
{
    citire();
    dijkstra();
    afish();
    return 0;
}