#include <iostream>
#include <vector>
#include <algorithm>
#include <queue>

using namespace std;

#define A 999999999

int n, m;

vector<pair<int, int> > v[50000];

int a[50000];
int t[50000];
int f[50000];

priority_queue<pair<int, int> > q;

int main() {
    cin >> n >> m;
    for (int i = 0; i < n; i++) {
        a[i] = A;
    }
    for (int i = 0; i < m; i++) {
        int a, b, c;
        cin >> a >> b >> c;
        a--; b--;
        v[a].push_back(make_pair(b, c));
    }
    a[0] = 0;
    q.push(make_pair(0, 0));
    while (!q.empty()) {
        pair<int, int> s = q.top();
        q.pop();
        if (f[s.second]) continue;
        f[s.second] = 1;
        t[s.second] = a[s.second];
        for (int i = 0; i < v[s.second].size(); i++) {
            pair<int, int> u = v[s.second][i];
            if (a[u.first] > a[s.second]+u.second) {
                a[u.first] = a[s.second]+u.second;
                q.push(make_pair(-a[u.first], u.first));
            }
        }
    }
    for (int i = 1; i < n; i++) {
        cout << t[i] << " ";
    }
    cout << endl;
}