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.*;
import java.util.*;

public class B23 {

    static FastReader in = null;
    static PrintWriter out = null;

    public static void solve()
    {
        int t = in.nextInt();
        while(t-->0) out.println(Math.max(0,in.nextInt()-2));
    }

    public static void main(String[] args)
    {
        in = new FastReader(System.in);
        out = new PrintWriter(System.out);
        solve();
        out.flush();
        out.close();

    }

    static class FastReader {

        BufferedReader read;
        StringTokenizer tokenizer;

        public FastReader(InputStream in)
        {
            read = new BufferedReader(new InputStreamReader(in));
        }

        public String next()
        {
            while(tokenizer == null || !tokenizer.hasMoreTokens())
            {
                try{
                    tokenizer = new StringTokenizer(read.readLine());
                }catch(Exception e){
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }
        public String nextLine(){

            try
            {
                return read.readLine();
            }
            catch(Exception e)
            {
                throw new RuntimeException(e);
            }
        }
        public int nextInt()
        {
            return Integer.parseInt(next());
        }
        public long nextLong()
        {
            return Long.parseLong(next());
        }
        public double nextDouble()
        {
            return Double.parseDouble(next());
        }

        public int[] nextIntArr(int n)
        {
            int[] a = new int[n];
            for(int i=0; i<n; ++i)
            {
                a[i] = nextInt();
            }
            return a;
        }

        public long[] nextLongArr(int n)
        {
            long[] a = new long[n];
            for(int i=0; i<n; ++i)
            {
                a[i] = nextLong();
            }
            return a;
        }
    }


}


