n people came to a party. Then those, who had no friends among people at the party, left. Then those, who had exactly 1 friend among those who stayed, left as well. Then those, who had exactly 2, 3, ..., n - 1 friends among those who stayed by the moment of their leaving, did the same.

What is the maximum amount of people that could stay at the party in the end? 

Input

The first input line contains one number t — amount of tests (1 ≤ t ≤ 105). Each of the following t lines contains one integer number n (1 ≤ n ≤ 105).

Output

For each test output in a separate line one number — the maximum amount of people that could stay in the end.

Examples

Input

1
3


Output

1
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.Locale;
import java.util.StringTokenizer;

public class B {
    private BufferedReader in;
    private StringTokenizer st;
    private PrintWriter out;

    private void solve() throws IOException {
        int n = nextInt();
        for (int i = 0; i < n; ++i) {
            out.println(Math.max(0, nextInt() - 2));
        }
    }

    public void run() throws IOException {
        in = new BufferedReader(new InputStreamReader(System.in));
        out = new PrintWriter(System.out);
        eat("");
        solve();
        out.close();
        in.close();
    }

    private void eat(String s) {
        st = new StringTokenizer(s);
    }

    private String next() throws IOException {
        while (!st.hasMoreTokens()) {
            String line = in.readLine();
            if (line == null) {
                return null;
            }
            eat(line);
        }
        return st.nextToken();
    }

    private int nextInt() throws IOException {
        return Integer.parseInt(next());
    }

    private long nextLong() throws IOException {
        return Long.parseLong(next());
    }

    private double nextDouble() throws IOException {
        return Double.parseDouble(next());
    }

    private BigInteger nextBigInteger() throws IOException {
        return new BigInteger(next());
    }

    public static void main(String[] args) throws IOException {
        Locale.setDefault(Locale.US);
        new B().run();
    }
}