#include <bits/stdc++.h>

using namespace std;

const int INF = 2e9;

int n, m, u, v, c;
vector<int> dp;
vector<vector<pair<int, int>>> adj;
set<pair<int, int>> s;

void citire() {
    cin >> n >> m;
    dp.resize(n + 1, INF);
    adj.resize(n + 1);
    while (m--) {
        cin >> u >> v >> c;
        adj[u].push_back(make_pair(v, c));
    }
}

void dijkstra(int start = 1) {
    dp[start] = 0;
    s.insert({start, 0});
    while (!s.empty()) {
        int x, y, w, z;
        x = s.begin()->first;
        y = s.begin()->second;
        s.erase({x, y});

        if (y > dp[x])
            continue;
        
        for (auto it : adj[x]) {
            w = it.first;
            z = it.second;

            if (dp[w] > y + z) {
                dp[w] = y + z;
                s.insert({w, dp[w]});
            }
        }
    }
}

void afis() {
    for (int i = 2; i <= n; i++)
        cout << (dp[i] == INF? 0 : dp[i]) << ' ';
    cout << '\n';
}

int main() {
    freopen("dijkstra.in", "r", stdin);
    freopen("dijkstra.out", "w", stdout);
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    citire();
    dijkstra();
    afis();

    return 0;
}