#include<bits/stdc++.h>
using namespace std;
#define int long long
#define ll long long
#define int long long
#define sc second
#define fr first
#define all(x) x.begin(),x.end()
#define roll(x) x.rbegin(),x.rend()
#define pb push_back
signed main(){
ll n;
cin >> n;
vector<pair<int,int>> b(n+1);
vector<int> a(n);
for(ll i = 0;i<=n;i++){
cin >> b[i].fr;
b[i].sc = i;
}
for(ll i =0;i<n;i++){
cin >> a[i];
}
sort(all(b));
sort(all(a));
vector<int> ans(1);
vector<int> ans2;
for(ll i = 0;i<n;i++){
ans.pb(b[i].fr - a[i]);
ans2.pb(b[i+1].fr - a[i]);
}
ans2.pb(0);
for(ll i = 1;i<ans.size();i++){
ans[i] = max(ans[i],ans[i-1]);
}
for(ll i = ans2.size()-2;i>=0;i--){
ans2[i] = max(ans2[i],ans2[i+1]);
}
vector<int> g(n+1);
for(ll i = 0;i<=n;i++){
ll m = 0;
m = max(ans[i],m);
m = max(ans2[i],m);
g[b[i].sc] = m;
}
for(ll i = 0;i<=n;i++){
cout << g[i] << " ";
}
}
