#include <iostream>
#include <fstream>
#include <queue>
#include <vector>
#include<climits>
using namespace std;
ifstream f ("dijkstra.in");
ofstream g ("dijkstra.out");
int n,m,x,y,c;
bool viz[50001];
vector<pair<int,int>>adiacenta[50001];
int costuri[50001];
priority_queue<pair<int,int>, vector<pair<int,int>>, greater<pair<int,int>>> q;
void citire()
{
    f >> n >> m;
    for(int i = 1;i<=m;i++)
    {
        f >> x >> y >> c;
        adiacenta[x].push_back({y,c});
    }
    for(int i = 1;i<=50000;i++)
        costuri[i] = INT_MAX;
}
void alg()
{
    costuri[1] = 1;
    q.push({1,1});
    viz[1] = 1;
    while(!q.empty())
    {
        int nod = q.top().second;
        int cost = q.top().first;
        q.pop();
        if(viz[nod]== 1)
            continue;
        viz[nod] = 1;
        for(auto x:adiacenta[nod])
        {
            if(costuri[x.first]>x.second+cost)
                {
                    costuri[x.first]=x.second+cost;
                    q.push({costuri[x.first],x.first});
                }
        }
    }
}
void afisare()
{
    for(int i = 2;i<=n;i++)
        g << costuri[i]-1<< " ";
}
int main()
{
    citire();
    alg();
    afisare();
}