Ohana Matsumae is trying to clean a room, which is divided up into an n by n grid of squares. Each square is initially either clean or dirty. Ohana can sweep her broom over columns of the grid. Her broom is very strange: if she sweeps over a clean square, it will become dirty, and if she sweeps over a dirty square, it will become clean. She wants to sweep some columns of the room to maximize the number of rows that are completely clean. It is not allowed to sweep over the part of the column, Ohana can only sweep the whole column.

Return the maximum number of rows that she can make completely clean.

Input

The first line of input will be a single integer n (1 ≤ n ≤ 100).

The next n lines will describe the state of the room. The i-th line will contain a binary string with n characters denoting the state of the i-th row of the room. The j-th character on this line is '1' if the j-th square in the i-th row is clean, and '0' if it is dirty.

Output

The output should be a single line containing an integer equal to a maximum possible number of rows that are completely clean.

Examples

Input

4
0101
1000
1111
0101


Output

2


Input

3
111
111
111


Output

3

Note

In the first sample, Ohana can sweep the 1st and 3rd columns. This will make the 1st and 4th row be completely clean.

In the second sample, everything is already clean, so Ohana doesn't need to do anything.
import java.io.*;
import java.util.*;

public class Main {
    private final static InputReader ir = new InputReader(System.in);
    private final static OutputWriter ow = new OutputWriter(System.out);
    private final static int INF = Integer.MAX_VALUE;
    private final static int NINF = Integer.MIN_VALUE;
    private final static double PI = Math.PI;

    public static void main(String[] args) throws IOException {
        try {
            task();
        } finally {
            boolean exc = false;
            try {
                ir.close();
            } catch (IOException e) {
                e.printStackTrace();
                exc = true;
            }
            try {
                ow.close();
            } catch (IOException e) {
                e.printStackTrace();
                exc = true;
            }
            if (exc) System.exit(1);
        }
    }

    private static void task() throws IOException {
        int n = ir.nextInt();
        int[][] a = new int[n][n];
        Map<String, Integer> map = new HashMap<>(1000);
        for (int i = 0; i < n; ++i) {
            String s =ir.nextLine(100);
            if (!map.containsKey(s)) {
                map.put(s, 1);
            } else {
                map.put(s, map.get(s) + 1);
            }
        }
        int ans = map.entrySet().stream().max(Comparator.comparing(Map.Entry::getValue)).get().getValue();
        ow.print(ans);
    }

    private static int max(int... objects) {
        if (objects.length == 0)
            throw new IllegalArgumentException("objects.length == 0");
        int max = objects[0];
        for (int i = 1; i < objects.length; ++i) {
            if (max < objects[i])
                max = objects[i];
        }
        return max;
    }

    private static int min(int... objects) {
        if (objects.length == 0)
            throw new IllegalArgumentException("objects.length == 0");
        int min = objects[0];
        for (int i = 1; i < objects.length; ++i) {
            if (min > objects[i])
                min = objects[i];
        }
        return min;
    }

    private static long pow(int x, int n) {
        if (x == 0) return 0;
        if (x == 1 || n == 0) return 1;
        if (x == 2) return x << (n - 1);
        if (n == 1) return x;
        long t = pow(x, n / 2);
        if (n % 2 == 0) return t * t;
        else return t * t * x;
    }

    private static double pow(double x, int n) {
        if (x == 0.0) return 0;
        if (x == 1.0 || n == 0) return 1;
        if (n == 1) return x;
        double t = pow(x, n / 2);
        if (n % 2 == 0) return t * t;
        else return t * t * x;
    }

    private static int abs(int a) {
        return (a >= 0 ? a : -a);
    }
}

class Pair<T, P> {
    T f;
    P s;
    Pair(T f, P s) {
        this.f = f;
        this.s = s;
    }
}

class Triple<T, P, V> {
    T f;
    P s;
    V t;
    Triple(T f, P s, V t) {
        this.f = f;
        this.s = s;
        this.t = t;
    }
}

class InputReader implements AutoCloseable {
    private final InputStream in;
    private int capacity;
    private byte[] buffer;
    private int len = 0;
    private int cur = 0;

    public InputReader(InputStream stream) {
        this(stream, 100_000);
    }

    public InputReader(InputStream stream, int capacity) {
        this.in = stream;
        this.capacity = capacity;
        buffer = new byte[capacity];
    }

    private boolean update() {
        if (cur >= len) {
            try {
                cur = 0;
                len = in.read(buffer, 0, capacity);
                if (len <= 0)
                    return false;
            } catch (IOException e) {
                throw new InputMismatchException();
            }
        }
        return true;
    }

    private int read() {
        if (update())
            return buffer[cur++];
        else return -1;
    }

    public boolean isEmpty() {
        return !update();
    }

    private boolean isSpace(int c) {
        return c == '\n' || c == '\t' || c == '\r' || c == ' ';
    }

    private boolean isEscape(int c) {
        return c == '\n' || c == '\t' || c == '\r' || c == -1;
    }

    private int readSkipSpace() {
        int c;
        do {
            c = read();
        } while (isSpace(c));
        return c;
    }

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

    public int[] getAllInts() {
        List<Integer> list = new LinkedList<>();
        while (true) {
            try {
                int t = nextInt();
                list.add(t);
            } catch (InputMismatchException e) {
                break;
            }
        }
        int[] a = new int[list.size()];
        Iterator<Integer> it = list.iterator();
        for (int i = 0; it.hasNext(); ++i)
            a[i] = it.next();
        return a;
    }

    public int[] getIntArray1D(int n) {
        int[] array = new int[n];
        for (int i = 0; i < n; ++i) {
            array[i] = nextInt();
        }
        return array;
    }

    public int[][] getIntArray2D(int n, int m) {
        int[][] array = new int[n][m];
        for (int i = 0; i < n; ++i) {
            for (int j = 0; j < m; ++j)
                array[i][j] = nextInt();
        }
        return array;
    }

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

    public long[] getAllLongs() {
        List<Long> list = new LinkedList<>();
        while (true) {
            try {
                long t = nextLong();
                list.add(t);
            } catch (InputMismatchException e) {
                break;
            }
        }
        long[] a = new long[list.size()];
        Iterator<Long> it = list.iterator();
        for (int i = 0; it.hasNext(); ++i)
            a[i] = it.next();
        return a;
    }

    public long[] getLongArray1D(int n) {
        long[] array = new long[n];
        for (int i = 0; i < n; ++i) {
            array[i] = nextLong();
        }
        return array;
    }

    public long[][] getLongArray2D(int n, int m) {
        long[][] array = new long[n][m];
        for (int i = 0; i < n; ++i) {
            for (int j = 0; j < m; ++j)
                array[i][j] = nextLong();
        }
        return array;
    }

    public int nextChar() {
        int c = readSkipSpace();
        if (c < 0)
            throw new InputMismatchException();
        return c;
    }

    public String nextLine(int initialCapacity) {
        StringBuilder res = new StringBuilder(initialCapacity);
        int c = readSkipSpace();
        do {
            res.append((char) (c));
            c = read();
        } while (!isEscape(c));
        return res.toString();
    }

    @Override
    public void close() throws IOException {
        in.close();
    }
}

class OutputWriter implements Flushable, AutoCloseable {
    private byte[] buf;
    private final int capacity;
    private int count;
    private OutputStream out;

    public OutputWriter(OutputStream stream) {
        this(stream, 10_000);
    }

    public OutputWriter(OutputStream stream, int capacity) {
        if (capacity < 0)
            throw new IllegalArgumentException("capacity < 0");
        out = stream;
        this.capacity = capacity;
        if (capacity != 0) {
            buf = new byte[capacity];
        }
    }

    public void write(int b) throws IOException {
        if (capacity != 0) {
            if (count >= capacity)
                flushBuffer();
            buf[count++] = (byte) b;
        } else {
            out.write(b);
        }
    }

    public void write(byte[] bytes, int off, int len) throws IOException {
        if (capacity != 0) {
            if (len >= capacity) {
                flushBuffer();
                out.write(bytes, off, len);
                return;
            }
            if (len > capacity - count)
                flushBuffer();
            System.arraycopy(bytes, off, buf, count, len);
            count += len;
        } else out.write(bytes, off, len);
    }

    public void write(byte[] bytes) throws IOException {
        write(bytes, 0, bytes.length);
    }

    public void println() throws IOException {
        print("\n");
    }

    public void print(Object object) throws IOException {
        write(String.valueOf(object).getBytes());
    }

    public void println(Object object) throws IOException {
        print(object);
        println();
    }

    public void print(int... ints) throws IOException {
        print(" ", ints);
    }

    public void println(int... ints) throws IOException {
        print(ints);
        println();
    }

    public void println(String separator, int... ints) throws IOException {
        print(separator, ints);
        println();
    }

    public void print(String separator, int... ints) throws IOException {
        if (ints.length == 0) throw new IllegalArgumentException("ints.length == 0");
        for (int i = 0; i < ints.length; ++i) {
            if (i != 0) print(separator);
            print(ints[i]);
        }
    }

    private void flushBuffer() throws IOException {
        if (count > 0) {
            out.write(buf, 0, count);
            count = 0;
        }
    }

    @Override
    public void flush() throws IOException {
        flushBuffer();
        out.flush();
    }

    @Override
    public void close() throws IOException {
        flush();
        out.close();
    }
}

