#include <bits/stdc++.h>
#define int long long
#define endl "\n"
#define pii pair<int, int>
#define sd second
#define fs first
#define vi vector<int>
#define vii vi<vi>
#define vpii vector<pii>
#define pb push_back
#define fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
using namespace std;
const int oo=1e18,MAX=2e5+5;
int32_t main(){
fast
int a,n;
cin>>n;
vpii c(n+1);
vi auxi(n+1,0),auxi1(n+1,0);
vi e(n),ans(n+1);
for(int i=0;i<=n;i++){
cin>>c[i].fs;
c[i].sd=i;
}
for(int i=0;i<n;i++){
cin>>e[i];
}
sort(c.begin(),c.end());
sort(e.begin(),e.end());
for(int i=n-1;i>=0;i--){
if(i==n-1){auxi[i]=max(auxi[i],c[i+1].fs-e[i]);continue;}
auxi[i]=max(auxi[i+1],c[i+1].fs-e[i]);
}
for(int i=0;i<n;i++){
if(i==0){auxi1[i]=max(auxi1[i],c[i].fs-e[i]);continue;}
auxi1[i]=max(auxi1[i-1],c[i].fs-e[i]);
}
for(int i=0;i<n;i++){
ans[c[i].sd]=max(auxi[i],auxi1[i]);
if(i==n-1){ans[c[i+1].sd]=auxi1[i];
}
}
for(int i=0;i<=n;i++){
cout<<ans[i]<<" ";
}
}
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