#include <bits/stdc++.h>
using namespace std;

void fast_io() {
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);
}

int main() {
	fast_io();
	int n;
	cin >> n;
	vector<long long> a(n);
	for (int i = 0; i < n; i++) {
		cin >> a[i];
	}
	set<long long> st;
	long long g = 0;
	for (int i = 0; i < n; i++) {
		auto it = st.lower_bound(a[i]);
		if (it != st.end() && *it != a[i]) {
			g = gcd(g, *it - a[i]);
		}
		if (it != st.begin()) {
			it--;
			if (*it != a[i]) {
				g = gcd(g, a[i] - *it);
			}
		}
		st.insert(a[i]);
		cout << g << "\n";
	}
}