#include "bits/stdc++.h"
#define fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define ll long long
#define pb push_back
#define in insert
#define F first
#define S second
#define vll vector<ll>
#define all(v) v.begin(),v.end()
#define rep(a, b, c) for (int(a) = (b); (a) < (c); (a)++)//i, 0, n
#define endl '\n'
#define pii pair<ll,ll>
#define yes cout << "Yes" << endl;
#define no cout << "No" << endl;
using namespace std;
const ll INF = 1e18, mod = 1e9 + 7, N = 2e5 + 5;
ll gcd(ll a, ll b) {
return b == 0 ? a : gcd(b, a % b);
}
ll lcm(ll a, ll b) {
return (a / gcd(a, b)) * b;
}
ll modpow(ll a, ll b){
ll ans = 1;
while(b > 0){
if(b % 2 == 1){
ans *= a;
ans = ans%mod;
}
a *= a;
a %= mod;
b = b >> 1;
}
return ans % mod;
}
ll inv(ll a){
return (modpow(a,mod-2)) % mod;
}
vll g[N];
ll used[N];
ll us[N];
ll st, end;
ll cnt = 0;
bool t = false;
void dfs(ll s){
used[s] = 1;
for(auto i : g[s]){
if(!used[i]){
cnt++;
dfs(i);
}
if(i == st && cnt!=1){
t = true;
}
}
}
void solve(){
ll n;
cin >> n;
ll a[n + 1],b[n];
vector<pii> v,v1;
for(int i = 0; i < n + 1; i++){
cin >> a[i];
v.pb({a[i], i});
}
for(int i = 0; i < n; i++){
cin >> b[i];
v1.pb({b[i], i});
}
sort(all(v));
sort(all(v1));
vll pre(n + 2), suf(n + 2);
pre[0] = v[0].F - v1[0].F;
for(int i =1; i < n; i++){
pre[i] = max(pre[i - 1], v[i].F - v1[i].F);
}
suf[n - 1] = v[n].F - v1[n - 1].F;
for(int i = n - 2; i >= 0; i--){
suf[i] = max(suf[i + 1], v[i + 1].F - v1[i].F);
}
ll ans[n + 2];
ans[v[0].S] = suf[0];
for(int i = 1; i < n+1; i++){
ans[v[i].S] = max(pre[i - 1], suf[i]);
}
for(int i = 0 ; i < n + 1; i++){
cout << ans[i] << " ";
}
}
int main() {
fast;
ll t = 1;
// cin >> t;
while (t--) {
solve();
}
}
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