#include <bits/stdc++.h>
using namespace std;
#define int long long
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<pair<int,int>> neckties(n+2);
for(int i=1;i<=n+1;i++){cin>>neckties[i].first;neckties[i].second=i;}
vector<int> people(n+1);
for(int i=1;i<=n;i++)cin>>people[i];
vector<int> prefix(n+2);
vector<int> suffix(n+2);
sort(neckties.begin()+1,neckties.end());
sort(people.begin()+1,people.end());
for(int i=2;i<=n+1;i++) {
prefix[i] = max(prefix[i-1],abs(people[i-1]-neckties[i-1].first));
}
for(int i=n;i;i--) {
suffix[i] = max(suffix[i+1],abs(people[i]-neckties[i+1].first));
}
vector<int> ans(n+2);
for(int i=1;i<=n+1;i++)ans[neckties[i].second]=max(prefix[i],suffix[i]);
for(int i=1;i<=n+1;i++)cout<<ans[i]<<' ';
cout << '\n';
}
