#include <bits/stdc++.h>
using namespace std;
#define int long long
#define stoi stoll
using ll=long long;
using vi=vector<int>;
using pii=pair<int,int>;
#define ALL(c) begin(c),end(c)
#define RALL(c) rbegin(c),rend(c)
#define ITR(i,b,e) for(auto i=(b);i!=(e);++i)
#define FORE(x,c) for(auto &&x:c)
#define REPF(i,a,n) for(int i=a,i##len=(int)(n);i<i##len;++i)
#define REP(i,n) REPF(i,0,n)
#define REPR(i,n) for(int i=(int)(n);i>=0;--i)
#define SZ(c) ((int)c.size())
#define CONTAIN(c,x) (c.find(x)!=end(c))
#define INSEG(l,x,r) ((l)<=(x)&&(x)<(r))
#define dump(...)
#define pb push_back
#define _ 0
const signed INF_=1001001001; const long long INF=1001001001001001001LL;
const int DX[9]={0,1,0,-1,1,1,-1,-1,0},DY[9]={-1,0,1,0,-1,1,1,-1,0};
template<class T> ostream& operator<<(ostream &os,const vector<T> &v) {
    ITR(i,begin(v),end(v))os<<*i<<(i==end(v)-1?"":" ");return os;}
template<class T> istream& operator>>(istream &is,vector<T> &v) {
    ITR(i,begin(v),end(v)) is>>*i;return is;}
template<class T,class U> istream& operator>>(istream &is, pair<T,U> &p) {
    is>>p.first>>p.second;return is;}
template<class T, class U> bool chmax(T &a,const U &b){return a<b?a=b,1:0;}
template<class T, class U> bool chmin(T &a,const U &b){return a>b?a=b,1:0;}
template <class T> void PSUM(T& c) {partial_sum(begin(c), end(c), begin(c));}
template<class T> using heap=priority_queue<T,vector<T>,greater<T>>;
struct before_main_function {
    before_main_function() {
        cin.tie(0); ios::sync_with_stdio(0);
        cout << setprecision(15) << fixed;
        // #define endl "\n"
    }
} before_main_function;
//------------------8<------------------------------------8<--------------------

signed main() {
    int N, M;
    cin >> N >> M;
    vector<vector<pii>> g(N);
    REP(i, M) {
        int a, b, c;
        cin >> a >> b >> c;
        a--, b--;
        g[a].pb({b, c});
        g[b].pb({a, c});
    }

    vector<int> dist(N * 2, INF);
    heap<pii> hp;
    hp.push({0, 0});
    dist[0] = 0;
    hp.push({0, N});
    dist[N] = 0;
    while (SZ(hp)) {
        int v = hp.top().second; hp.pop();
        bool skipped = (v >= N);
        FORE(e, g[v - (skipped ? N : 0)]) {
            int w = e.first;
            int c = e.second;
            if (skipped) {
                if (chmin(dist[w + N], dist[v] + c)) {
                    hp.push({dist[w + N], w + N});
                }
            } else {
                if (chmin(dist[w], dist[v] + c)) {
                    hp.push({dist[w], w});
                }
                if (chmin(dist[w + N], dist[v])) {
                    hp.push({dist[w + N], w + N});
                }
            }
        }
    }

    REP(i, N) {
        cout << dist[i] + dist[i + N] << endl;
    }
    return (0^_^0);
}