#include "bits/stdc++.h"
#define ALL(obj) (obj).begin(),(obj).end()
#define RALL(obj) (obj).rbegin(),(obj).rend()
#define REP(i, n) for(int i = 0; i < (int)(n); i++)
#define REPR(i, n) for(int i = (int)(n); i >= 0; i--)
#define FOR(i,n,m) for(int i = (int)(n); i < int(m); i++)
using namespace std;
typedef long long ll;
const int MOD = 1e9 + 7;
const int INF = MOD - 1;
const ll LLINF = 4e18;

// dijkstra法
struct edge { int to, cost; };
vector<vector<edge>> G;//グラフ
vector<vector<int>> d;//sからの距離(INFで初期化)

void dijkstra(int s) {
    priority_queue<tuple<int, int,int>, vector<tuple<int, int, int>>, greater<tuple<int, int, int>>> pq;
    d[s][0] = d[s][1] = 0;
    pq.push(tuple<int, int, int>(0, 0, s));
    pq.push(tuple<int, int, int>(0, 1, s));
    while (!pq.empty()) {
        tuple<int, int, int> p = pq.top(); pq.pop();
        int v = get<2>(p);
        if (d[v][get<1>(p)] < get<0>(p)) continue;
        for (edge e : G[v])
        {
            if (d[e.to][0] > d[v][0] + e.cost) {
                d[e.to][0] = d[v][0] + e.cost;
                pq.push({d[e.to][0],0, e.to});
            }
            if (d[e.to][1] > d[v][0] || d[e.to][1] > d[v][1] + e.cost) {
                d[e.to][1] = min(d[v][0],d[v][1] + e.cost);
                pq.push({d[e.to][1],1, e.to});
            }
        }
    }
}

int main() {
    int n, m; cin >> n >> m;
    G.resize(n);
    d.resize(n,vector<int>(2,INF));
    REP(i, m) {
        int a, b, c; cin >> a >> b >> c;
        a--; b--;
        G[a].push_back({b,c});
        G[b].push_back({a,c});
    }
    dijkstra(0);
    REP(i, n) {
        cout << d[i][0] + d[i][1] << endl;
    }
    getchar(); getchar();
}