#include <bits/stdc++.h>
#define pp pair<int,int>
#define x first
#define y second

using namespace std;

const int N_MAX = 50000 + 5;
const int INF = INT_MAX / 2;

int n, m;

vector<pp> vec[N_MAX];
priority_queue <pp, vector<pp >, greater<pp > > q;

int dist[N_MAX];

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

void teldrum (int source){

    for(int i = 2; i<=n; ++i)
        dist[i] = INF;

    q.push({0, source});

    while(!q.empty()){
        int nod = q.top().y;
        int cost = q.top().x;
        q.pop();

        if(cost > dist[nod])
            continue;

        for(auto v : vec[nod]){
            if(dist[v.x] > cost + v.y){
                dist[v.x] = cost + v.y;
                q.push({dist[v.x], v.x});
            }
        }
    }

}

int main()
{
    fin >> n >> m;

    for(int i = 1, a, b, c; i<=m; ++i){
        fin >> a >> b >> c;
        vec[a].push_back({b,c});
    }

    teldrum(1);

    for(int i = 2; i<=n; ++i)
        fout << dist[i] << " ";

    return 0;
}