//g++ 2.cpp -std=c++14 -O2 -I .
#include <bits/stdc++.h>
using namespace std;

#include <atcoder/all>
using namespace atcoder;

using ll = long long;
using ld = long double;

using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;
using vvll = vector<vll>;
using vld = vector<ld>;
using vvld = vector<vld>;
using vst = vector<string>;
using vvst = vector<vst>;

#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define pq_big(T) priority_queue<T,vector<T>,less<T>>
#define pq_small(T) priority_queue<T,vector<T>,greater<T>>
#define all(a) a.begin(),a.end()
#define rep(i,start,end) for(ll i=start;i<(ll)(end);i++)
#define per(i,start,end) for(ll i=start;i>=(ll)(end);i--)
#define uniq(a) sort(all(a));a.erase(unique(all(a)),a.end())

int main(){
  ios::sync_with_stdio(false);
  cin.tie(nullptr);

  int n;
  cin>>n;

  vi x(n),a(n);
  rep(i,0,n)cin>>x[i];
  rep(i,0,n)cin>>a[i];

  map<int,vi> g;
  vi st;
  rep(i,0,n){
    g[x[i]+a[i]].emplace_back(x[i]);
    g[x[i]-a[i]].emplace_back(x[i]);

    st.emplace_back(x[i]-a[i]);
    st.emplace_back(x[i]+a[i]);
  }

  uniq(st);
  reverse(all(st));

  map<int,int> opt;
  for(int v:st){
    opt[v]=v;
  }

  for(int v:st){
    queue<int> que;
    que.push(v);

    while(!que.empty()){
      int fr=que.front();
      que.pop();

      for(int nxt:g[fr]){
        if(opt[nxt]<opt[fr]){
          opt[nxt]=opt[fr];
          que.push(nxt);
        }
      }
    }
  }

  rep(i,0,n){
    cout<<opt[x[i]]-x[i]<<endl;
  }
}