#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define pb push_back
#define ff first
#define ss second
#define MOD 1000000009
#define INF 1000000019
#define INFL 1000000000000000099LL
ll n,q,s,t,a,b,c,ans,k,m;
vector<ll>v2;
vector<pair<ll,ll>>v1;
ll co[1000007][2],co2[1000007];
int main()
{
ios_base::sync_with_stdio(0);cin.tie(0);
cin>>n;
for(ll i=0;i<=n;i++){
cin>>a;
v1.pb({a,i});
}
for(ll i=0;i<n;i++){
cin>>a;
v2.pb(a);
}
sort(v1.begin(),v1.end());
sort(v2.begin(),v2.end());
for(ll i=1;i<=n;i++){
co[i][0]=max(co[i-1][0],v1[i-1].ff-v2[i-1]);
}
for(ll i=n-1;i>=0;i--){
co[i][1]=max(co[i+1][1],v1[i+1].ff-v2[i]);
}
for(ll i=0;i<=n;i++)co2[v1[i].ss]=max(co[i][0],co[i][1]);
for(ll i=0;i<=n;i++)cout<<co2[i]<<" ";
}
