You are given a set of points x_1, x_2, ..., x_n on the number line.

Two points i and j can be matched with each other if the following conditions hold:

  * neither i nor j is matched with any other point; 
  * |x_i - x_j| ≥ z. 



What is the maximum number of pairs of points you can match with each other?

Input

The first line contains two integers n and z (2 ≤ n ≤ 2 ⋅ 10^5, 1 ≤ z ≤ 10^9) — the number of points and the constraint on the distance between matched points, respectively.

The second line contains n integers x_1, x_2, ..., x_n (1 ≤ x_i ≤ 10^9).

Output

Print one integer — the maximum number of pairs of points you can match with each other.

Examples

Input


4 2
1 3 3 7


Output


2


Input


5 5
10 9 5 8 7


Output


1

Note

In the first example, you may match point 1 with point 2 (|3 - 1| ≥ 2), and point 3 with point 4 (|7 - 3| ≥ 2).

In the second example, you may match point 1 with point 3 (|5 - 10| ≥ 5).
// Change Of Plans BABY.... Change Of Plans //
import java.io.*;
import java.util.*;
import static java.lang.Math.*;

public class matchPoints {

    static void MainSolution() {
        n = ni();
        m = ni();

        int ar[] = new int[n];
        for (int i = 0; i < n; i++) ar[i] = ni();
        fastSort(ar);

        int l = 0, r = n / 2 + 1;
        looper:
        while (r - l > 1) {
            int mid = l + r >> 1;
            for (int i = 0; i < mid; i++) {
                if (ar[n - 1 - mid + 1 + i] - ar[i] < m) {
                    r = mid;
                    continue looper;
                }
            }
            l = mid;
        }
        pl(l);
    }

    /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
    //THE DON'T CARE ZONE BEGINS HERE...//
    static int mod9 = 1000000007;
    static int n, m, l, k, t, mod = 998244353;
    static AwesomeInput input = new AwesomeInput(System.in);
    static PrintWriter pw = new PrintWriter(System.out, true);

    static class AwesomeInput {
        private InputStream letsDoIT;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private SpaceCharFilter filter;

        private AwesomeInput(InputStream ayega) {
            this.letsDoIT = ayega;
        }

        public int read() {
            if (numChars == -1)
                throw new InputMismatchException();
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = letsDoIT.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }

        public int ForInteger() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));
            return res * sgn;
        }

        public long ForLong() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));
            return res * sgn;
        }

        public String ForString() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            }
            while (!isSpaceChar(c));

            return res.toString();
        }

        public boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        public interface SpaceCharFilter {
            boolean isSpaceChar(int ch);
        }
    }

    // functions to take input//
    static int ni() {
        return input.ForInteger();
    }

    static String ns() {
        return input.ForString();
    }

    static long nl() {
        return input.ForLong();
    }

    static double nd() throws IOException {
        return Double.parseDouble(new BufferedReader(new InputStreamReader(System.in)).readLine());
    }

    //functions to give output
    static void pl() {
        pw.println();
    }

    static void p(Object o) {
        pw.print(o + " ");
    }

    static void pws(Object o) {
        pw.print(o + "");
    }

    static void pl(Object o) {
        pw.println(o);
    }

    static void flush() {
        pw.flush();
        pw.close();
    }
    public static int[] fastSort(int[] f)
    {
        int n=f.length;
        int[] to = new int[n];
        {
            int[] b = new int[65537];
            for(int i = 0;i < n;i++)b[1+(f[i]&0xffff)]++;
            for(int i = 1;i <= 65536;i++)b[i]+=b[i-1];
            for(int i = 0;i < n;i++)to[b[f[i]&0xffff]++] = f[i];
            int[] d = f; f = to;to = d;
        }
        {
            int[] b = new int[65537];
            for(int i = 0;i < n;i++)b[1+(f[i]>>>16)]++;
            for(int i = 1;i <= 65536;i++)b[i]+=b[i-1];
            for(int i = 0;i < n;i++)to[b[f[i]>>>16]++] = f[i];
            int[] d = f; f = to;to = d;
        }
        return f;
    }

    public static void main(String[] args) {      //threading has been used to increase the stack size.

        new Thread(null, null, "DHAGA", 1 << 25)  //the last parameter is stack size desired.
        {
            public void run() {
                try {
                    double s = System.currentTimeMillis();
                    MainSolution();
                    //pl(("\nExecution Time : "+((double) System.currentTimeMillis() - s) / 1000) + " s");
                    flush();
                } catch (Exception e) {
                    e.printStackTrace();
                    System.exit(1);
                }
            }
        }.start();
    }
}