#include <bits/stdc++.h>
using namespace std;

int n, m;
int cost[50001];
vector<vector<pair<int, int>>> v(50001);

class comp {
public:
    bool operator()(int n1, int n2) {
        return cost[n1] > cost[n2];
    }
};

void dijkstra() {
    memset(cost, 0x3f, sizeof(cost));
    priority_queue<int, vector<int>, comp> q;
    q.push(1);
    cost[1] = 0;
    while (!q.empty()) {
        int node = q.top();
        q.pop();
        for (int i = 0; i < v[node].size(); ++i) {
            if (cost[node] + v[node][i].second < cost[v[node][i].first]) {
                cost[v[node][i].first] = cost[node] + v[node][i].second;
                q.push(v[node][i].first);
            }
        }
    }
}

int main() {
    ifstream cin("dijkstra.in");
    ofstream cout("dijkstra.out");
    int n, m;
    cin >> n >> m;
    for (int i = 1; i <= m; ++i) {
        int a, b, c;
        cin >> a >> b >> c;
        v[a].push_back({b, c});
    }
    dijkstra();
    for (int i = 2; i <= n; ++i) {
        cout << cost[i] << " ";
    }
}