#include <iostream>
#include <fstream>
#include <queue>
#include <vector>
#include <algorithm>
#include <climits>
#include <bits/stdc++.h>

using namespace std;

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

const int NMAX=50005;

priority_queue <pair <int,int>> q;

vector <pair <int,int>> graf[NMAX];

int n,m,sol[NMAX];

bitset <NMAX> used[NMAX];

void citire()
{
    in>>n>>m;
    for(int i=1; i<=m; i++)
    {
        int x,y,z;
        in>>x>>y>>z;
        graf[x].push_back({y,z});
    }
    for(int i=2; i<=n; i++)
    {
        sol[i]=INT_MAX;
    }
}

void bfs()
{
    q.push({1,0});
    while(!q.empty())
    {
        int nownod=q.top().first;
        q.pop();
        if(used[nownod]==1)
            continue;
        used[nownod]=1;
        int nr=graf[nownod].size();
        for(int i=0; i<nr; i++)
        {
            int nod=graf[nownod][i].first;
            int val=graf[nownod][i].second;
            int sum=sol[nownod]+val;
            if(sum<sol[nod])
            {
                q.push({nod,-val});
                sol[nod]=sum;
            }
        }
    }
}

void afisare()
{
    for(int i=2; i<=n; i++)
    {
        if(sol[i]!=INT_MAX)
            out<<sol[i]<<" ";
        else
            out<<0<<" ";
    }
}

int main()
{
    citire();
    bfs();
    afisare();
    return 0;
}