#include<bits/stdc++.h>
typedef long long ll;
#define pb push_back
#define fr first
#define sc second
#define endl '\n'
using namespace std;
#define mid ((left+right)>>1)
int n;
int arr[200023],brr[200023];
int per[200023];
int pref[200023],suf[200023];
int main(){
ios_base::sync_with_stdio(23^23);cin.tie(NULL);
cin>>n;
for(int i=1;i<=n+1;i++){
cin>>arr[i];
per[i]=i;
}
for(int i=1;i<=n;i++){
cin>>brr[i];
}
sort(brr+1,brr+n+1);
sort(per+1,per+n+2,[&](const int &x,const int &y){
return arr[x]<arr[y];
});
for(int i=1;i<=n;i++){
pref[i]=max(pref[i-1],arr[per[i]]-brr[i]);
}
for(int i=n;i>=1;i--){
suf[i]=max(suf[i+1],arr[per[i+1]]-brr[i]);
}
for(int i=1;i<=n+1;i++){
cout<<max(pref[i-1],suf[i])<<" ";
}
}
