#include<bits/stdc++.h>
using namespace std;
#define int long long
#define ii pair <int, int>
#define app push_back
#define all(a) a.begin(), a.end()
#define bp __builtin_popcount
#define ll long long
#define mp make_pair
#define f first
#define s second
#define Time (double)clock()/CLOCKS_PER_SEC
const int N = 2e5 + 7;
ii a[N];
int b[N], mem[N], pref[N], post[N];
signed main() {
#ifdef HOME
freopen("input.txt", "r", stdin);
#else
ios_base::sync_with_stdio(0); cin.tie(0);
#endif
int n;
cin >> n;
for (int i = 0; i < n + 1; ++i) {
cin >> a[i].f;
a[i].s = i;
}
for (int i = 0; i < n; ++i)
cin >> b[i];
sort(a, a + n + 1);
sort(b, b + n);
for (int i = 0; i < n; ++i)
pref[i + 1] = max(pref[i], a[i].f - b[i]);
for (int i = n - 1; i >= 0; --i)
post[i] = max(post[i + 1], a[i + 1].f - b[i]);
for (int i = 0; i < n + 1; ++i)
mem[a[i].s] = max(pref[i], post[i]);
for (int i = 0; i <= n; ++i)
cout << mem[i] << ' ';
cout << '\n';
}
