Mishka has got n empty boxes. For every i (1 ≤ i ≤ n), i-th box is a cube with side length ai.

Mishka can put a box i into another box j if the following conditions are met:

  * i-th box is not put into another box; 
  * j-th box doesn't contain any other boxes; 
  * box i is smaller than box j (ai < aj). 



Mishka can put boxes into each other an arbitrary number of times. He wants to minimize the number of visible boxes. A box is called visible iff it is not put into some another box.

Help Mishka to determine the minimum possible number of visible boxes!

Input

The first line contains one integer n (1 ≤ n ≤ 5000) — the number of boxes Mishka has got.

The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109), where ai is the side length of i-th box.

Output

Print the minimum possible number of visible boxes.

Examples

Input

3
1 2 3


Output

1


Input

4
4 2 4 3


Output

2

Note

In the first example it is possible to put box 1 into box 2, and 2 into 3.

In the second example Mishka can put box 2 into box 3, and box 4 into box 1.
import java.io.*;
import java.math.*;
import java.util.*;
import java.util.stream.*;
import java.text.*;

public class vjudge12 {
    private static FastIO sc;

    public static void main(String[] args) {
        sc = new FastIO(System.in, System.out);
        int n = sc.readInt();
        int[] arr = sc.readIntArray(n);
        boolean[] check = new boolean[n];
        int size = arr.length;
        ruffleSort(arr);
        int target = arr[0];
        int c = 0;
        for (int j = 1; j < n; j++) {
            if (target < arr[j] && !check[j]) {
                size--;
                check[j] = true;
                if (c + 1 < n) {
                    target = arr[c + 1];
                }
                c++;
            }
        }
        sc.println(size);
        sc.close();
    }

    static void printPrecision(double d) {
        DecimalFormat ft = new DecimalFormat("0.00000000000");//Change the pattern
        sc.println(ft.format(d));
    }

    static void ruffleSort(int[] a) {
        int n = a.length;
        Random r = new Random();
        for (int i = 0; i < a.length; i++) {
            int oi = r.nextInt(n), temp = a[i];
            a[i] = a[oi];
            a[oi] = temp;
        }
        Arrays.sort(a);
    }

    private static class FastIO {

        public static final int DEFAULT_BUFFER_SIZE = 65536;
        public static final int DEFAULT_INTEGER_SIZE = 11;
        public static final int DEFAULT_LONG_SIZE = 20;
        public static final int DEFAULT_WORD_SIZE = 256;
        public static final int DEFAULT_LINE_SIZE = 8192;
        public static final int EOF = -1;

        private final InputStream in;
        private final OutputStream out;

        private byte[] inBuffer;
        private int nextIn, inLength;
        private byte[] outBuffer;
        private int nextOut;

        private char[] charBuffer;
        private byte[] byteBuffer;

        public FastIO(InputStream in, OutputStream out, int inBufferSize, int outBufferSize) {
            this.in = in;
            this.inBuffer = new byte[inBufferSize];
            this.nextIn = 0;
            this.inLength = 0;

            this.out = out;
            this.outBuffer = new byte[outBufferSize];
            this.nextOut = 0;

            this.charBuffer = new char[DEFAULT_LINE_SIZE];
            this.byteBuffer = new byte[DEFAULT_LONG_SIZE];
        }

        public FastIO(InputStream in, OutputStream out) {
            this(in, out, DEFAULT_BUFFER_SIZE, DEFAULT_BUFFER_SIZE);
        }

        public FastIO(InputStream in, OutputStream out, int bufferSize) {
            this(in, out, bufferSize, bufferSize);
        }

        public char readChar() {
            byte b;
            while (isSpace(b = read()))
                ;

            return (char) b;
        }

        public String readString() {
            byte b;
            while (isSpace(b = read()))
                ;

            int pos = 0;
            do {
                charBuffer[pos++] = (char) b;
                ensureCapacity(pos);
            } while (!isSpace(b = read()));

            return new String(charBuffer, 0, pos);
        }

        public String readLine() {
            byte b;
            int pos = 0;

            while (!isLine(b = read())) {
                charBuffer[pos++] = (char) b;
                ensureCapacity(pos);
            }

            return new String(charBuffer, 0, pos);
        }

        public int readInt() {
            byte b;
            while (isSpace(b = read()))
                ;

            boolean negative = false;
            int result = b - '0';
            if (b == '-') {
                negative = true;
                result = 0;
            }

            while (isDigit(b = read()))
                result = (result * 10) + (b - '0');

            return negative ? -result : result;
        }

        public long readLong() {
            byte b;
            while (isSpace(b = read()))
                ;

            boolean negative = false;
            long result = b - '0';
            if (b == '-') {
                negative = true;
                result = 0;
            }

            while (isDigit(b = read()))
                result = (result * 10) + (b - '0');

            return negative ? -result : result;
        }

        public float nextFloat() {
            byte b;
            while (isSpace(b = read()))
                ;

            int pos = 0;
            do {
                charBuffer[pos++] = (char) b;
            } while (!isSpace(b = read()));

            return Float.parseFloat(new String(charBuffer, 0, pos));
        }

        public float nextFloat2() {
            byte b;
            while (isSpace(b = read()))
                ;

            boolean negative = false;
            float result = b - '0';
            if (b == '-') {
                negative = true;
                result = 0;
            }

            while (isDigit(b = read()))
                result = (result * 10) + (b - '0');

            float d = 1;
            if (b == '.') {
                while (isDigit(b = read()))
                    result += (b - '0') / (d *= 10);
            }

            return negative ? -result : result;
        }

        public double readDouble() {
            byte b;
            while (isSpace(b = read()))
                ;

            int pos = 0;
            do {
                charBuffer[pos++] = (char) b;
            } while (!isSpace(b = read()));

            return Double.parseDouble(new String(charBuffer, 0, pos));
        }

        public double nextDouble2() {
            byte b;
            while (isSpace(b = read()))
                ;

            boolean negative = false;
            double result = b - '0';
            if (b == '-') {
                negative = true;
                result = 0;
            }

            while (isDigit(b = read()))
                result = (result * 10) + (b - '0');

            double d = 1;
            if (b == '.') {
                while (isDigit(b = read()))
                    result += (b - '0') / (d *= 10);
            }

            return negative ? -result : result;
        }

        public BigInteger readBigInteger() {
            return new BigInteger(readString());
        }

        public BigDecimal readBigDecimal() {
            return new BigDecimal(readString());
        }

        public char[] nextToCharArray() {
            byte b;
            while (isSpace(b = read()))
                ;

            int pos = 0;
            do {
                charBuffer[pos++] = (char) b;
                ensureCapacity(pos);
            } while (!isSpace(b = read()));

            char[] array = new char[pos];
            System.arraycopy(charBuffer, 0, array, 0, pos);
            return array;
        }

        public int[] readIntArray(int size) {
            int[] array = new int[size];
            for (int i = 0; i < size; i++)
                array[i] = readInt();

            return array;
        }

        public long[] readLongArray(int size) {
            long[] array = new long[size];
            for (int i = 0; i < size; i++)
                array[i] = readLong();

            return array;
        }

        public int[][] nextInt2DArray(int Y, int X) {
            int[][] array = new int[Y][X];
            for (int y = 0; y < Y; y++)
                for (int x = 0; x < X; x++)
                    array[y][x] = readInt();

            return array;
        }

        public void print(char c) {
            write((byte) c);
        }

        public void print(char[] chars) {
            print(chars, 0, chars.length);
        }

        public void print(char[] chars, int start) {
            print(chars, start, chars.length);
        }

        public void print(char[] chars, int start, int end) {
            for (int i = start; i < end; i++)
                write((byte) chars[i]);
        }

        public void print(String s) {
            for (int i = 0; i < s.length(); i++)
                write((byte) s.charAt(i));
        }

        public void print(int i) {
            if (i == 0) {
                write((byte) '0');
                return;
            }
            if (i == Integer.MIN_VALUE) {
                write((byte) '-');
                write((byte) '2');
                write((byte) '1');
                write((byte) '4');
                write((byte) '7');
                write((byte) '4');
                write((byte) '8');
                write((byte) '3');
                write((byte) '6');
                write((byte) '4');
                write((byte) '8');
                return;
            }

            if (i < 0) {
                write((byte) '-');
                i = -i;
            }

            int pos = 0;
            while (i > 0) {
                byteBuffer[pos++] = (byte) ((i % 10) + '0');
                i /= 10;
            }

            while (pos-- > 0)
                write(byteBuffer[pos]);
        }

        public void print(long l) {
            if (l == 0) {
                write((byte) '0');
                return;
            }
            if (l == Long.MIN_VALUE) {
                write((byte) '-');
                write((byte) '9');
                write((byte) '2');
                write((byte) '2');
                write((byte) '3');
                write((byte) '3');
                write((byte) '7');
                write((byte) '2');
                write((byte) '0');
                write((byte) '3');
                write((byte) '6');
                write((byte) '8');
                write((byte) '5');
                write((byte) '4');
                write((byte) '7');
                write((byte) '7');
                write((byte) '5');
                write((byte) '8');
                write((byte) '0');
                write((byte) '8');
                return;
            }

            if (l < 0) {
                write((byte) '-');
                l = -l;
            }

            int pos = 0;
            while (l > 0) {
                byteBuffer[pos++] = (byte) ((l % 10) + '0');
                l /= 10;
            }

            while (pos-- > 0)
                write(byteBuffer[pos]);
        }

        public void print(float f) {
            String sf = Float.toString(f);
            for (int i = 0; i < sf.length(); i++)
                write((byte) sf.charAt(i));
        }

        public void print(double d) {
            String sd = Double.toString(d);
            for (int i = 0; i < sd.length(); i++)
                write((byte) sd.charAt(i));
        }

        public void printls(char c) {
            print(c);
            write((byte) ' ');
        }

        public void printls(String s) {
            print(s);
            write((byte) ' ');
        }

        public void printls(int i) {
            print(i);
            write((byte) ' ');
        }

        public void printls(long l) {
            print(l);
            write((byte) ' ');
        }

        public void printls(float f) {
            print(f);
            write((byte) ' ');
        }

        public void printls(double d) {
            print(d);
            write((byte) ' ');
        }

        public void printls() {
            write((byte) ' ');
        }

        public void println(char c) {
            print(c);
            write((byte) '\n');
        }

        public void println(char[] chars) {
            print(chars, 0, chars.length);
            write((byte) '\n');
        }

        public void println(String s) {
            print(s);
            write((byte) '\n');
        }

        public void println(int i) {
            print(i);
            write((byte) '\n');
        }

        public void println(long l) {
            print(l);
            write((byte) '\n');
        }

        public void println(float f) {
            print(f);
            write((byte) '\n');
        }

        public void println(double d) {
            print(d);
            write((byte) '\n');
        }

        public void println() {
            write((byte) '\n');
        }

        public void printf(String format, Object... args) {
            String s = String.format(format, args);
            for (int i = 0; i < s.length(); i++)
                write((byte) s.charAt(i));
        }

        public void fprint(char c) {
            print(c);
            flushBuffer();
        }

        public void fprint(String s) {
            print(s);
            flushBuffer();
        }

        public void fprint(int i) {
            print(i);
            flushBuffer();
        }

        public void fprint(long l) {
            print(l);
            flushBuffer();
        }

        public void fprint(float f) {
            print(f);
            flushBuffer();
        }

        public void fprint(double d) {
            print(d);
            flushBuffer();
        }

        public void fprintf(String format, Object... args) {
            printf(format, args);
            flushBuffer();
        }

        private byte read() {
            if (nextIn >= inLength) {
                if ((inLength = fill()) == EOF)
                    return EOF;
                nextIn = 0;
            }

            return inBuffer[nextIn++];
        }

        private void write(byte b) {
            if (nextOut >= outBuffer.length)
                flushBuffer();

            outBuffer[nextOut++] = b;
        }

        private int fill() {
            try {
                return in.read(inBuffer, 0, inBuffer.length);
            } catch (Exception e) {
                throw new RuntimeException(e);
            }
        }

        public void flush() {
            flushBuffer();
        }

        private void flushBuffer() {
            if (nextOut == 0)
                return;

            try {
                out.write(outBuffer, 0, nextOut);
            } catch (Exception e) {
                throw new RuntimeException(e);
            }

            nextOut = 0;
        }

        public void close() {
            flush();
        }

        public void exit(char c) {
            fprint(c);
            System.exit(0);
        }

        public void exit(String s) {
            fprint(s);
            System.exit(0);
        }

        public void exit(int i) {
            fprint(i);
            System.exit(0);
        }

        public void exit(long l) {
            fprint(l);
            System.exit(0);
        }

        public void exit(float f) {
            fprint(f);
            System.exit(0);
        }

        public void exit(double d) {
            fprint(d);
            System.exit(0);
        }

        public void exit(String format, Object... args) {
            fprintf(format, args);
            System.exit(0);
        }

        public void exit() {
            flushBuffer();
            System.exit(0);
        }

        private void ensureCapacity(int size) {
            if (size < charBuffer.length)
                return;

            char[] array = new char[size * 2];
            System.arraycopy(charBuffer, 0, array, 0, size);
            charBuffer = array;
        }

        private boolean isDigit(byte b) {
            return b >= '0' && b <= '9';
        }

        private boolean isLine(byte b) {
            return b == '\n' || b == '\r' || b == EOF;
        }

        private boolean isSpace(byte b) {
            return b == ' ' || b == '\t' || b == '\n' || b == '\r' || b == '\f' || b == EOF;
        }
    }
}
			  		  		  	 								 		  	 	