import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.List;
import java.util.TreeSet;

public class Main {
	public static void main(String[] args) throws Exception {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int n = Integer.parseInt(br.readLine());
		String[] sa = br.readLine().split(" ");
		int[] x = new int[n];
		for (int i = 0; i < n; i++) {
			x[i] = Integer.parseInt(sa[i]);
		}

		int rn = (int) Math.sqrt(n) + 1;
		List<TreeSet<Integer>> list = new ArrayList<>(rn);
		for (int i = 0; i < rn; i++) {
			int start = rn * i;
			int end = Math.min(n, start + rn);
			TreeSet<Integer> set = new TreeSet<>();
			set.add(-1000000000);
			set.add(2000000000);
			for (int j = start; j < end; j++) {
				set.add(x[i]);
			}
			list.add(set);
		}

		int q = Integer.parseInt(br.readLine());
		PrintWriter pw = new PrintWriter(System.out);
		for (int i = 0; i < q; i++) {
			sa = br.readLine().split(" ");
			int l = Integer.parseInt(sa[0]) - 1;
			int r = Integer.parseInt(sa[1]);
			int y = Integer.parseInt(sa[2]);
			int ll = (l - 1) / rn + 1;
			int rr = r / rn;
			int ans = Integer.MAX_VALUE;
			int end = Math.min(ll * rn, r);
			for (int j = l; j < end; j++) {
				ans = Math.min(ans, Math.abs(x[j] - y));
			}
			for (int j = ll; j < rr; j++) {
				TreeSet<Integer> set = list.get(j);
				int ol = set.floor(y);
				ans = Math.min(ans, y - ol);
				int or = set.ceiling(y);
				ans = Math.min(ans, or - y);
			}
			for (int j = Math.max(rr * rn, l); j < r; j++) {
				ans = Math.min(ans, Math.abs(x[j] - y));
			}
			pw.println(ans);
		}
		pw.flush();
		br.close();
	}
}