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.util.*;
import java.io.*;
import static java.util.Arrays.*;
import static java.lang.Math.*;
import java.math.*;

public class Main {
    
    void run() throws IOException {
        int t = nint();
        for (int i = 0; i < t; i++) {
            int n = nint();
            out.println(max(0, n - 2));
        }
    }    
    
    public static void main(String[] args) throws IOException {
        Locale.setDefault(Locale.US);
        //final String FILENAME = "garland";
        //in = new BufferedReader(new FileReader(new File(FILENAME + ".in")));
        //out = new PrintWriter(new File(FILENAME + ".out"));
        in = new BufferedReader(new InputStreamReader(System.in));
        //in = new Scanner(System.in);
        out = new PrintWriter(System.out);
        st = new StringTokenizer(" ");
        new Main().run();
        out.close();
    }

    static BufferedReader in;
    //static Scanner in;
    static PrintWriter out;
    static StringTokenizer st;

    String token() throws IOException {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(in.readLine());
        }
        return st.nextToken();
    }

    int nint() throws IOException {
        return Integer.parseInt(token());
    }

    long nlong() throws IOException {
        return Long.parseLong(token());
    }

    double ndouble() throws IOException {
        return Double.parseDouble(token());
    }
}