#include <iostream>
#include <vector>
#include <string>
#include <algorithm>
#include <queue>
#include <cstdio>
#include <cstring>
#include <cmath>
using namespace std;
using ll = long long;

struct Graph {
    struct VertexQ {
        bool operator<(const VertexQ& o) const {
            return c > o.c; // 逆
        }
        int i;
        ll c;
    };
    struct Vertex { int n; ll c; };
    struct Edge { int i, n, c; };
    Graph(int n, int m) : v(n, { -1 }), e(m), n(n), m(0) {}
    void add_edge(int i, int j, int c) {
        e[m] = { j, v[i].n, c };
        v[i].n = m;
        m++;
    }
    void dijkstra(int i) {
        for (int i = 0; i < n; i++) v[i].c = 1LL << 60;
        priority_queue<VertexQ> q;
        q.push({ i, v[i].c = 0 });
        while (!q.empty()) {
            auto p = q.top(); q.pop();
            if (p.c > v[p.i].c) continue;
            for (int j = v[p.i].n; j >= 0; j = e[j].n) {
                Edge& o = e[j];
                ll c = p.c + o.c;
                if (c < v[o.i].c) q.push({ o.i, v[o.i].c = c });
            }
        }
    }
    vector<Vertex> v;
    vector<Edge> e;
    int n, m;
};

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);

    int n, m;
    cin >> n >> m;

    Graph g(n * 2, m * 3 * 2);
    for (int i = 0; i < m; i++) {
        int a, b, c;
        cin >> a >> b >> c;
        a--; b--;

        g.add_edge(a, b, c);
        g.add_edge(b, a, c);
        g.add_edge(a, b + n, 0);
        g.add_edge(b, a + n, 0);
        g.add_edge(a + n, b + n, c);
        g.add_edge(b + n, a + n, c);
    }

    g.dijkstra(0);

    cout << 0 << '\n';
    for (int i = 1; i < n; i++) {
        cout << g.v[i].c + g.v[i + n].c << '\n';
    }

    return 0;
}