#include <bits/stdc++.h>
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<ull, ull> pull;
typedef pair<int, int> pii;
typedef pair<ld, ld> pld;
ll n;
pll a[1000009];
ll b[1000009];
ll ans[1000009];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
//freopen("in.txt", "r", stdin);
//freopen("out.txt", "w", stdout);
cin >> n;
for(ll i = 0; i <= n; ++i){
cin >> a[i].ff;
a[i].ss = i;
}
for(ll i = 0; i < n; ++i)
cin >> b[i];
sort(a, a+n+1);
sort(b, b+n);
multiset<ll, greater<ll>> cur;
for(ll i = 0; i < n; ++i){
cur.insert(abs(a[i+1].ff-b[i]));
}
ans[a[0].ss] = *cur.begin();
for(ll i = 1; i <= n; ++i){
cur.erase(cur.lower_bound(abs(a[i].ff-b[i-1])));
cur.insert(abs(a[i-1].ff-b[i-1]));
ans[a[i].ss] = *cur.begin();
}
for(ll i = 0; i <= n; ++i)
cout << ans[i] << '\n';
}
