//#define _GLIBCXX_DEBUG

//#pragma GCC target("avx2")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")

#include<bits/stdc++.h>
using namespace std;


#ifdef LOCAL
#include <debug_print.hpp>
#define OUT(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#define OUT(...) (static_cast<void>(0))
#endif

#define endl '\n'
#define lfs cout<<fixed<<setprecision(15)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define UNIQUE(a) (a).erase(unique((a).begin(),(a).end()),(a).end())
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)

namespace template_tute{
  using ll = long long;
  using ld = long double;
  const ll MOD1 = 1e9+7;
  const ll MOD9 = 998244353;
  const ll INF = 4.1e18;
  using P = pair<ll, ll>;
  template<typename T> using PQ = priority_queue<T>;
  template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>;
  template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
  template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
  ll median(ll a,ll b, ll c){return a+b+c-max<ll>({a,b,c})-min<ll>({a,b,c});}
  void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
  void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
  void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
  template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
  template<typename T1,typename T2,typename T3>void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);};  
  template<typename T>void debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout<<sv<<v[i][j];cout<<endl;}};
  template<typename T>void debug(const T &v,ll n,string sv=" "){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout<<sv<<v[i];cout<<endl;};
  template<typename T>void debug(const vector<T>&v){debug(v,v.size());}
  template<typename T>void debug(const vector<vector<T>>&v){for(auto &vv:v)debug(vv,vv.size());}
  template<typename T>void debug(stack<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
  template<typename T>void debug(queue<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop();}cout<<endl;}
  template<typename T>void debug(deque<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop_front();}cout<<endl;}
  template<typename T>void debug(PQ<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
  template<typename T>void debug(QP<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
  template<typename T>void debug(const set<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
  template<typename T>void debug(const multiset<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
  template<typename T,size_t size>void debug(const array<T, size> &a){for(auto z:a)cout<<z<<" ";cout<<endl;}
  template<typename T,typename V>void debug(const map<T,V>&v){for(auto z:v)cout<<"["<<z.first<<"]="<<z.second<<",";cout<<endl;}
  template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
  vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
  template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
  template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
  template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << "(" << p.first << "," << p.second << ")";}
  template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){os<<"[";for(auto &z:v)os << z << ",";os<<"]"; return os;}
  template<typename T>void rearrange(vector<int>&ord, vector<T>&v){
    auto tmp = v;
    for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];
  }
  template<typename Head, typename... Tail>void rearrange(vector<int>&ord,Head&& head, Tail&&... tail){
    rearrange(ord, head);
    rearrange(ord, tail...);
  }
  template<typename T> vector<int> ascend(const vector<T>&v){
    vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
    sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],i)<make_pair(v[j],j);});
    return ord;
  }
  template<typename T> vector<int> descend(const vector<T>&v){
    vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
    sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],-i)>make_pair(v[j],-j);});
    return ord;
  }
  template<typename T> vector<T> inv_perm(const vector<T>&ord){
    vector<T>inv(ord.size());
    for(int i=0;i<ord.size();i++)inv[ord[i]] = i;
    return inv;
  }
  ll FLOOR(ll n,ll div){assert(div>0);return n>=0?n/div:(n-div+1)/div;}
  ll CEIL(ll n,ll div){assert(div>0);return n>=0?(n+div-1)/div:n/div;}
  ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;}
  ll modulo(ll n,ll d){return (n%d+d)%d;};
  template<typename T>T min(const vector<T>&v){return *min_element(v.begin(),v.end());}
  template<typename T>T max(const vector<T>&v){return *max_element(v.begin(),v.end());}
  template<typename T>T acc(const vector<T>&v){return accumulate(v.begin(),v.end(),T(0));};
  template<typename T>T reverse(const T &v){return T(v.rbegin(),v.rend());};
  //mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
  int popcount(ll x){return __builtin_popcountll(x);};
  int poplow(ll x){return __builtin_ctzll(x);};
  int pophigh(ll x){return 63 - __builtin_clzll(x);};
  template<typename T>T poll(queue<T> &q){auto ret=q.front();q.pop();return ret;};
  template<typename T>T poll(priority_queue<T> &q){auto ret=q.top();q.pop();return ret;};
  template<typename T>T poll(QP<T> &q){auto ret=q.top();q.pop();return ret;};
  template<typename T>T poll(stack<T> &s){auto ret=s.top();s.pop();return ret;};
  ll MULT(ll x,ll y){if(LLONG_MAX/x<=y)return LLONG_MAX;return x*y;}
  ll POW2(ll x, ll k){ll ret=1,mul=x;while(k){if(mul==LLONG_MAX)return LLONG_MAX;if(k&1)ret=MULT(ret,mul);mul=MULT(mul,mul);k>>=1;}return ret;}
  ll POW(ll x, ll k){ll ret=1;for(int i=0;i<k;i++){if(LLONG_MAX/x<=ret)return LLONG_MAX;ret*=x;}return ret;}
  std::ostream &operator<<(std::ostream &dest, __int128_t value) {
    std::ostream::sentry s(dest);
    if (s) {
      __uint128_t tmp = value < 0 ? -value : value;
      char buffer[128];
      char *d = std::end(buffer);
      do {
        --d;
        *d = "0123456789"[tmp % 10];
        tmp /= 10;
      } while (tmp != 0);
      if (value < 0) {
        --d;
        *d = '-';
      }
      int len = std::end(buffer) - d;
      if (dest.rdbuf()->sputn(d, len) != len) {
        dest.setstate(std::ios_base::badbit);
      }
    }
    return dest;
  }
  namespace converter{
    int dict[500];
    const string lower="abcdefghijklmnopqrstuvwxyz";
    const string upper="ABCDEFGHIJKLMNOPQRSTUVWXYZ";
    const string digit="0123456789";
    const string digit1="123456789";
    void regi_str(const string &t){
      for(int i=0;i<t.size();i++){
        dict[t[i]]=i;
      }
    }
    void regi_int(const string &t){
      for(int i=0;i<t.size();i++){
        dict[i]=t[i];
      }
    }
    vector<int>to_int(const string &s,const string &t){
      regi_str(t);
      vector<int>ret(s.size());
      for(int i=0;i<s.size();i++){
        ret[i]=dict[s[i]];
      }
      return ret;
    }
    vector<int>input(const string &t){
      string s;cin>>s;
      return to_int(s,t);
    }
    vector<int>to_int(const string &s){
      auto t=s;
      sort(t.begin(),t.end());
      t.erase(unique(t.begin(),t.end()),t.end());
      return to_int(s,t);
    }
    vector<int>input(){
      string s;cin>>s;
      return to_int(s);
    }
    vector<vector<int>>to_int(const vector<string>&s,const string &t){
      regi_str(t);
      vector<vector<int>>ret(s.size(),vector<int>(s[0].size()));
      for(int i=0;i<s.size();i++){
        for(int j=0;j<s[0].size();j++){
          ret[i][j]=dict[s[i][j]];
        }
      }
      return ret;
    }
    vector<vector<int>>input(int h,const string &t){
      vector<string>s(h);for(int i=0;i<h;i++)cin>>s[i];
      return to_int(s,t);
    }
    vector<vector<int>>to_int(const vector<string>&s){
      string t;
      for(int i=0;i<s.size();i++){
        t+=s[i];
      }
      sort(t.begin(),t.end());t.erase(unique(t.begin(),t.end()),t.end());
      return to_int(s,t);
    }
    vector<vector<int>>input(int h){
      vector<string>s(h);for(int i=0;i<h;i++)cin>>s[i];
      return to_int(s);
    }
    string to_str(const vector<int>&s,const string &t){
      regi_int(t);
      string ret;
      for(auto z:s)ret+=dict[z];
      return ret;
    }
    vector<string> to_str(const vector<vector<int>>&s,const string &t){
      regi_int(t);
      vector<string>ret(s.size());
      for(int i=0;i<s.size();i++){
        for(auto z:s[i])ret[i]+=dict[z];
      }
      return ret;
    }
  }
  template< typename T = int >
  struct edge {
    int to;
    T cost;
    int id;
    edge():to(-1),id(-1){};
    edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){}
    operator int() const { return to; }
  };

  template<typename T>
  using Graph = vector<vector<edge<T>>>;
  template<typename T>
  Graph<T>revgraph(const Graph<T> &g){
    Graph<T>ret(g.size());
    for(int i=0;i<g.size();i++){
      for(auto e:g[i]){
        int to = e.to;
        e.to = i;
        ret[to].push_back(e);
      }
    }
    return ret;
  }
  template<typename T>
  Graph<T> readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){
    Graph<T> ret(n);
    for(int es = 0; es < m; es++){
      int u,v;
      T w=1;
      cin>>u>>v;u-=indexed,v-=indexed;
      if(weighted)cin>>w;
      ret[u].emplace_back(v,w,es);
      if(!directed)ret[v].emplace_back(u,w,es);
    }
    return ret;
  }
  template<typename T>
  Graph<T> readParent(int n,int indexed=1,bool directed=true){
    Graph<T>ret(n);
    for(int i=1;i<n;i++){
      int p;cin>>p;
      p-=indexed;
      ret[p].emplace_back(i);
      if(!directed)ret[i].emplace_back(p);
    }
    return ret;
  }
}
using namespace template_tute;
struct SegmentTreeBeats {
    static const long long INF = 1LL << 60;
    struct Node {
        Node *left, *right;
        long long max_v, smax_v, max_c;
        long long min_v, smin_v, min_c;
        long long sum;
        long long len, ladd, lval;

        Node() : left(0), right(0), ladd(0), lval(INF) {}

        void init(long long x) {
            max_v = min_v = sum = x;
            smax_v = -INF; smin_v = INF;
            max_c = min_c = 1;
        }

        void init_empty() {
            max_v = smax_v = -INF;
            min_v = smin_v = INF;
            max_c = min_c = 0;
        }

        void update_max(long long x) {
            sum += (x - max_v) * max_c;
            /* */if (max_v ==  min_v) max_v =  min_v = x;
            else if (max_v == smin_v) max_v = smin_v = x;
            else                      max_v = x;
            if (lval != INF and x < lval) lval = x;
        }

        void update_min(long long x) {
            sum += (x - min_v) * min_c;
            /* */if (max_v ==  min_v) max_v =  min_v = x;
            else if (max_v == smin_v) min_v = smax_v = x;
            else                      min_v = x;
            if (lval != INF and lval < x) lval = x;
        }

        void addall(long long x) {
            max_v += x;
            if (smax_v != -INF) smax_v += x;
            min_v += x;
            if (smin_v != INF) smin_v += x;
            sum += len * x;
            if (lval != INF) lval += x;
            else             ladd += x;
        }

        void updateall(long long x) {
            max_v = min_v = x;
            smax_v = -INF; smin_v = INF;
            max_c = min_c = len;
            sum = len * x;
            lval = x; ladd = 0;
        }

        void push() {
            if (lval != INF) {
                 left -> updateall(lval);
                right -> updateall(lval);
                lval = INF;
                return;
            }
            if (ladd != 0) {
                 left -> addall(ladd);
                right -> addall(ladd);
                ladd = 0;
            }
            if (max_v < left -> max_v)   left -> update_max(max_v);
            if (left -> min_v < min_v)   left -> update_min(min_v);
            if (max_v < right -> max_v) right -> update_max(max_v);
            if (right -> min_v < min_v) right -> update_min(min_v);
        }

        void update() {
            sum = left -> sum + right -> sum;
            if (left -> max_v < right -> max_v) {
                max_v = right -> max_v;
                max_c = right -> max_c;
                smax_v = max(left -> max_v, right -> smax_v);
            } else if (left -> max_v > right -> max_v) {
                max_v = left -> max_v;
                max_c = left -> max_c;
                smax_v = max(left -> smax_v, right -> max_v);
            } else {
                max_v = left -> max_v;
                max_c = left -> max_c + right -> max_c;
                smax_v = max(left -> smax_v, right -> smax_v);
            }
            if (left -> min_v < right -> min_v) {
                min_v = left -> min_v;
                min_c = left -> min_c;
                smin_v = min(left -> smin_v, right -> min_v);
            } else if (left -> min_v > right -> min_v) {
                min_v = right -> min_v;
                min_c = right -> min_c;
                smin_v = min(left -> min_v, right -> smin_v);
            } else {
                min_v = left -> min_v;
                min_c = left -> min_c + right -> min_c;
                smin_v = min(left -> smin_v, right -> smin_v);
            }
        }
    };

    int n, n0;
    Node *root;

    void _update_min(long long x, int a, int b, Node *nd, int l, int r) {
        if (b <= l || r <= a || nd -> max_v <= x) return;
        if (a <= l && r <= b && nd -> smax_v < x) {
            nd -> update_max(x);
            return;
        }
        nd -> push();
        _update_min(x, a, b, nd ->  left, l, (l + r) >> 1);
        _update_min(x, a, b, nd -> right, (l + r) >> 1, r);
        nd -> update();
    }

    void _update_max(long long x, int a, int b, Node *nd, int l, int r) {
        if (b <= l || r <= a || x <= nd -> min_v) return;
        if (a <= l && r <= b && x < nd -> smin_v) {
            nd -> update_min(x);
            return;
        }
        nd -> push();
        _update_max(x, a, b, nd ->  left, l, (l + r) >> 1);
        _update_max(x, a, b, nd -> right, (l + r) >> 1, r);
        nd -> update();
    }

    void _add_val(long long x, int a, int b, Node *nd, int l, int r) {
        if (b <= l || r <= a) return;
        if (a <= l && r <= b) {
            nd -> addall(x);
            return;
        }
        nd -> push();
        _add_val(x, a, b, nd ->  left, l, (l + r) >> 1);
        _add_val(x, a, b, nd -> right, (l + r) >> 1, r);
        nd -> update();
    }

    void _update_val(long long x, int a, int b, Node *nd, int l, int r) {
        if (b <= l || r <= a) return;
        if (a <= l && r <= b) {
            nd -> updateall(x);
            return;
        }
        nd -> push();
        _update_val(x, a, b, nd ->  left, l, (l + r) >> 1);
        _update_val(x, a, b, nd -> right, (l + r) >> 1, r);
        nd -> update();
    }

    long long _query_max(int a, int b, Node *nd, int l, int r) {
        if (b <= l || r <= a) return -INF;
        if (a <= l && r <= b) return nd -> max_v;
        nd -> push();
        long long lv = _query_max(a, b, nd ->  left, l, (l + r) >> 1);
        long long rv = _query_max(a, b, nd -> right, (l + r) >> 1, r);
        return max(lv, rv);
    }

    long long _query_min(int a, int b, Node *nd, int l, int r) {
        if (b <= l || r <= a) return INF;
        if (a <= l && r <= b) return nd -> min_v;
        nd -> push();
        long long lv = _query_min(a, b, nd ->  left, l, (l + r) >> 1);
        long long rv = _query_min(a, b, nd -> right, (l + r) >> 1, r);
        return min(lv, rv);
    }

    long long _query_sum(int a, int b, Node *nd, int l, int r) {
        if (b <= l || r <= a) return 0;
        if (a <= l && r <= b) return nd -> sum;
        nd -> push();
        long long lv = _query_sum(a, b, nd ->  left, l, (l + r) >> 1);
        long long rv = _query_sum(a, b, nd -> right, (l + r) >> 1, r);
        return lv + rv;
    }

    SegmentTreeBeats(int n, long long val = 0) : n(n) {
        n0 = 1; while (n0 < n) n0 <<= 1;
        Node *nds = new Node[2 * n0];
        root = nds;
        nds[0].len = n0;
        for (int i = 0; i < n0 - 1; ++i) {
            nds[i].left = &nds[2 * i + 1];
            nds[i].right = &nds[2 * i + 2];
            nds[2 * i + 1].len = nds[2 * i + 2].len = nds[i].len >> 1;
        }
        for (int i = 0; i <  n; ++i) nds[n0 - 1 + i].init(val);
        for (int i = n; i < n0; ++i) nds[n0 - 1 + i].init_empty();
        for (int i = n0 - 2; i >= 0; i--) nds[i].update();
    }

    SegmentTreeBeats(vector<long long> a) : n(a.size()) {
        n0 = 1; while (n0 < n) n0 <<= 1;
        Node *nds = new Node[2 * n0];
        root = nds;
        nds[0].len = n0;
        for (int i = 0; i < n0 - 1; ++i) {
            nds[i].left = &nds[2 * i + 1];
            nds[i].right = &nds[2 * i + 2];
            nds[2 * i + 1].len = nds[2 * i + 2].len = nds[i].len >> 1;
        }
        for (int i = 0; i <  n; ++i) nds[n0 - 1 + i].init(a[i]);
        for (int i = n; i < n0; ++i) nds[n0 - 1 + i].init_empty();
        for (int i = n0 - 2; i >= 0; i--) nds[i].update();
    }

    void update_min(int a, int b, long long x) { _update_min(x, a, b, root, 0, n0); }
    void update_max(int a, int b, long long x) { _update_max(x, a, b, root, 0, n0); }
    void    add_val(int a, int b, long long x) {    _add_val(x, a, b, root, 0, n0); }
    void update_val(int a, int b, long long x) { _update_val(x, a, b, root, 0, n0); }
    long long query_max(int a, int b) { return _query_max(a, b, root, 0, n0); }
    long long query_min(int a, int b) { return _query_min(a, b, root, 0, n0); }
    long long query_sum(int a, int b) { return _query_sum(a, b, root, 0, n0); }
  void print(){
      for(int i=0;i<n;i++)cout<<query_sum(i,i+1)<<" ";cout<<endl;
    }
};
void solve(){
	ll res=0,buf=0;
  bool judge = true;

  ll n;cin>>n;
  vector<ll>a(n);
  rep(i,0,n)cin>>a[i];
  vector<ll>b(n);
  rep(i,0,n)cin>>b[i];
  SegmentTreeBeats sa(a);
  SegmentTreeBeats sb(b);
  vector<ll>ret;
  rep(i,0,n){
    sa.update_min(0,i+1,a[i]);
    sb.update_min(0,i+1,b[i]);
    ll ok=-1,ng=i+1;
    while(ng-ok>=2){
      ll mid=(ok+ng)/2;
      if(sa.query_max(mid,mid+1)<sb.query_max(i-mid,i-mid+1)){
        ok=mid;
      }
      else{
        ng=mid;
      }
    }
    //0..okはsa担当
    ll va=sa.query_sum(0,ok+1);
    ll vb=sb.query_sum(0,i-ok);
    ret.PB(va+vb);
  }
  debug(ret);
}

int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  int T = 1;
  //cin>>T;
  while(T--){
    solve();
  }
  return 0;
}