#include <bits/stdc++.h>
#define ft first
#define sc second
#define lb lower_bound
#define ub upper_bound
#define pb push_back
#define pt(sth) cout << sth << "\n"
#define chmax(a, b) {if(a<b) a=b;}
#define chmin(a, b) {if(a>b) a=b;}
#define moC(a, s, b) (a)=((a)s(b)+MOD)%MOD
using namespace std;
typedef long long ll;
typedef pair<ll, ll> P;
typedef map<ll, ll> Map;
static const ll INF=1e18;
static const ll MAX=1e5+7;
static const ll MOD=1e9+7;
ll max(ll a, ll b) {return a>b ? a:b;}
ll min(ll a, ll b) {return a<b ? a:b;}

class Edge {
    public:
    ll t, c;
    Edge(ll t, ll c) {
        this->t=t;
        this->c=c;
    }
};

ll N, M;
vector<Edge> g[MAX];
ll d[MAX][2];

void dijkstra(ll s) {
    ll u, i;
    ll clr[MAX][2]={};
    for(i=0; i<N; i++) {
        d[i][0]=INF;
        d[i][1]=INF;
    }
    
    priority_queue<P> p, q;
    d[s][0]=0;
    d[s][1]=0;
    p.push(P(0, s));
    
    while(p.size() || q.size()) {
        P f, h;
        ll u;
        if(p.size()) {
            f=p.top(); p.pop();
            u=f.sc;
            if(d[u][0]==-f.ft) {
                clr[u][0]=1;
                
                for(i=0; i<g[u].size(); i++) {
                    Edge e=g[u][i];
                    if(clr[e.t][0]==0 && d[e.t][0]>d[u][0]+e.c) {
                        d[e.t][0]=d[u][0]+e.c;
                        p.push(P(-d[e.t][0], e.t));
                    }
                    
                    if(clr[e.t][1]==0 && d[e.t][1]>d[u][0]) {
                        d[e.t][1]=d[u][0];
                        q.push(P(-d[e.t][1], e.t));
                    }
                }
            }
        }
        
        if(q.size()) {
            h=q.top(); q.pop();
            u=h.sc;
            if(d[u][1]==-h.ft) {
                clr[u][1]=1;
                
                for(i=0; i<g[u].size(); i++) {
                    Edge e=g[u][i];
                    if(clr[e.t][1]==0 && d[e.t][1]>d[u][1]+e.c) {
                        d[e.t][1]=d[u][1]+e.c;
                        q.push(P(-d[e.t][1], e.t));
                    }
                }
                
            }
        }
    }
    
}


int main(void) {
    ll i, j;
    cin >> N >> M;
    
    for(i=0; i<M; i++) {
        ll a, b, c;
        cin >> a >> b >> c;
        a--; b--;
        g[a].pb(Edge(b, c));
        g[b].pb(Edge(a, c));
    }
    
    dijkstra(0);
    
    for(i=0; i<N; i++) {
        pt(d[i][0]+d[i][1]);
    }
    
}