//
//
//  Codeforces: ganariya
//  AtCoder: ganariya2525
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//include
//------------------------------------------
#include <vector>
#include <list>
#include <map>
#include <unordered_map>
#include <climits>
#include <set>
#include <unordered_set>
#include <deque>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <cctype>
#include <string>
#include <cstring>
#include <ctime>
#include <queue>
#include <random>
#include <complex>
#include <regex>
#include <locale>
#include <random>
#include <type_traits>

using namespace std;

#define SHOW_VECTOR(v) {std::cerr << #v << "\t:";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";}
#define SHOW_MAP(v){std::cerr << #v << endl; for(const auto& xxx: v){std::cerr << xxx.first << " " << xxx.second << "\n";}}

using LL = long long;

//~~~~~~~~~~~~~~~~~~~~~_(＾～＾ ｣ ∠)_~~~~~~~~~~~~~~~~~~~~~

constexpr LL INF = 1e16;
constexpr int MAX_N = 100010;

//cost state v
typedef tuple<LL, int, int> T;

struct edge {
    int to;
    LL cost;
};

vector<edge> G[MAX_N];

void dijkstra(int N, int M, vector<vector<LL>> &dp) {

    dp[0][0] = 0;
    dp[1][0] = 0;

    priority_queue<T, vector<T>, greater<T>> Q;
    Q.push(make_tuple(0, 0, 0));
    Q.push(make_tuple(0, 1, 0));

    while (!Q.empty()) {
        auto t = Q.top();
        Q.pop();
        LL cost = get<0>(t);
        int state = get<1>(t);
        int v = get<2>(t);
        if (cost > dp[state][v])continue;
        for (int i = 0; i < G[v].size(); i++) {
            edge &e = G[v][i];
            if (dp[state][e.to] > cost + e.cost) {
                dp[state][e.to] = cost + e.cost;
                Q.push(make_tuple(dp[state][e.to], state, e.to));
            }
            if (state == 0) {
                if (dp[1][e.to] > cost) {
                    dp[1][e.to] = cost;
                    Q.push(make_tuple(dp[1][e.to], 1, e.to));
                }
            }
        }
    }

}

int main() {

    int N, M;
    cin >> N >> M;

    for (int i = 0; i < M; i++) {
        int a, b, c;
        cin >> a >> b >> c;
        a--, b--;
        G[a].push_back({b, c});
        G[b].push_back({a, c});
    }

    //state v
    vector<vector<LL>> dp(2, vector<LL>(N, INF));
    dijkstra(N, M, dp);

    for (int i = 0; i < N; i++) {
        printf("%lld\n", dp[0][i] + dp[1][i]);
    }

    return 0;
}