#pragma GCC optimize("Ofast")
#include <iostream>
#include <vector>
#include <algorithm>
#include <map>
#include <queue>
#include <cstdio>
#include <ctime>
#include <assert.h>
#include <chrono>
#include <random>
#include <numeric>
#include <set>
#include <deque>
#include <stack>
#include <sstream>
#include <utility>
#include <cstring>
#include <unordered_map>
#include <unordered_set>
#include <tuple>
#include <array>
#include <bitset>
using namespace std;
typedef long long int ll;
typedef unsigned long long ull;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll myRand(ll B) {
    return (ull)rng() % B;
}
inline double time() {
    return static_cast<long double>(chrono::duration_cast<chrono::nanoseconds>(chrono::steady_clock::now().time_since_epoch()).count()) * 1e-9;
}

struct UnionFind{
    vector<int> par,num;
    UnionFind(int n):par(n),num(n,1){
        iota(par.begin(),par.end(),0);  //include<numeric>
    }
    int find(int v){
        return (par[v]==v)?v:(par[v]=find(par[v]));
    }
    void unite(int u,int v){
        u=find(u),v=find(v);
        if(u==v)return;
        if(num[u]<num[v])swap(u,v);
        num[u]+=num[v];
        par[v]=u;
    }
    bool same(int u,int v){
        return find(u) == find(v);
    }
    int size(int v){
        return num[find(v)];
    }
};

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int n; cin >> n;
    vector<ll> x(n),a(n);
    map<ll,int> mp;
    for(int i=0;i<n;i++){
        cin >> x[i];
        mp[x[i]] = i;
    }
    for(int i=0;i<n;i++){
        cin >> a[i];
    }
    UnionFind uf(n);
    for(int i=0;i<n;i++){
        if(mp.find(x[i]-a[i]) != mp.end()){
            uf.unite(i, mp[x[i]-a[i]]);
        }
        if(mp.find(x[i]+a[i]) != mp.end()){
            uf.unite(i, mp[x[i]+a[i]]);
        }
    }
    vector<ll> res(n);
    for(int i=0;i<n;i++){
        res[uf.find(i)] = max(res[uf.find(i)],x[i]+a[i]);
    }
    for(int i=0;i<n;i++){
        cout << res[uf.find(i)]-x[i] << "\n";
    }
}