#include<iostream>
#include<algorithm>
#include<vector>
#include<set>
#include<cstring>
#define NMAX 50010
using namespace std;

typedef pair<int, int> int_pair;

vector<int_pair> G[NMAX];
int dist[NMAX];

struct cmp {
    bool operator() (const int& i, const int &j) {
        return dist[i] < dist[j];
    }
};
    
void dijkstra(int N, int start) {
    set<int, cmp> tree;
    memset(dist, -1, sizeof(dist));
    dist[start] = 0;
    tree.insert(start);

    int node;
    while (!tree.empty()) {
        auto it = tree.begin();
        node = *it;
        tree.erase(it);
        
        for (auto &edge : G[node]) {
            if (dist[edge.first] == - 1 || dist[edge.first] > dist[node] + edge.second) {
                if (dist[edge.first] != -1) {
                    tree.erase(edge.first);
                }
                dist[edge.first] = dist[node] + edge.second;
                tree.insert(edge.first);
            }  
        }
    }
}

int main() {
    freopen("dijkstra.in", "r", stdin);
    freopen("dijkstra.out", "w", stdout);
 
    int N, M, x, y, c, i;
    cin >> N >> M;
    for (i = 0; i < M; i++) {
        cin >> x >> y >> c;
        G[x].push_back(make_pair(y, c));
    }

    dijkstra(N, 1);
    for (i = 2; i <= N; i++) {
        cout << ((dist[i] == -1) ? 0 : dist[i]) << ' ';
    }
 
    return 0;
}