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

using namespace std;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
#define infi (1<<30)
#define f first
#define s second
vector <pair<int, int>> v[50002];
priority_queue< pair< int,int >, vector< pair< int, int >>, greater< pair< int, int >> >q;
int n, m, i, x, y, dp[50002], z, viz[50002], p, le;

void DIJ(){
    int nc;
    q.push({0,1});
    while(q.size() ){
        nc = q.top().s;
        q.pop();
        if (viz[nc] == 0)
        {
            viz[nc] = 1;
            for (auto x : v[nc]) {
                if (viz[x.s] == 0) {
                    if(dp[nc] + x.f < dp[x.s])
                        dp[x.s] = dp[nc] + x.f;
                    q.push({dp[nc] + x.f, x.s});
                }
            }
        }
    }
}

int main()
{
    fin>>n>>m;
    for(i = 1; i <= m; i++){
        fin>>x>>y>>z;
        v[x].push_back({z, y});
    }
    for (i = 2; i <= n; i++)
        dp[i] = infi;
    DIJ();
    for(i = 2; i <= n; i++){
        if ( dp[i] == infi )
            fout<<0<<' ';
        else
            fout<<dp[i]<<' ';
    }
    return 0;
}