Vasily the bear has got a sequence of positive integers a1, a2, ..., an. Vasily the Bear wants to write out several numbers on a piece of paper so that the beauty of the numbers he wrote out was maximum. 

The beauty of the written out numbers b1, b2, ..., bk is such maximum non-negative integer v, that number b1 and b2 and ... and bk is divisible by number 2v without a remainder. If such number v doesn't exist (that is, for any non-negative integer v, number b1 and b2 and ... and bk is divisible by 2v without a remainder), the beauty of the written out numbers equals -1. 

Tell the bear which numbers he should write out so that the beauty of the written out numbers is maximum. If there are multiple ways to write out the numbers, you need to choose the one where the bear writes out as many numbers as possible.

Here expression x and y means applying the bitwise AND operation to numbers x and y. In programming languages C++ and Java this operation is represented by "&", in Pascal — by "and".

Input

The first line contains integer n (1 ≤ n ≤ 105). The second line contains n space-separated integers a1, a2, ..., an (1 ≤ a1 < a2 < ... < an ≤ 109).

Output

In the first line print a single integer k (k > 0), showing how many numbers to write out. In the second line print k integers b1, b2, ..., bk — the numbers to write out. You are allowed to print numbers b1, b2, ..., bk in any order, but all of them must be distinct. If there are multiple ways to write out the numbers, choose the one with the maximum number of numbers to write out. If there still are multiple ways, you are allowed to print any of them.

Examples

Input

5
1 2 3 4 5


Output

2
4 5


Input

3
1 2 4


Output

1
4
import java.io.*;
import java.util.*;
import java.math.*;

final public class Main implements Runnable {
	private static boolean local;

	public static void main(String[] args) {
		if (args.length > 0 && args[0].equals("-1")) {
			local = true;
		}
		new Thread(null, new Main(), "mainthread", 1 << 27).start();
	}

	public void run() {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;

		try {
			if (local) {
				inputStream = new FileInputStream("/home/outside/coding/workspace/java/main/io/input.txt");
				outputStream = new FileOutputStream("/home/outside/coding/workspace/java/main/io/output.txt");
			} else {
				// inputStream = new FileInputStream("file_name");
				// outputStream = new FileOutputStream("file_name");
			}
		} catch (Exception e) {
			throw new RuntimeException(e);
		}

		Task.in = new InputReader(inputStream);
		Task.out = new OutputWriter(outputStream);
		if (local) {
			Task.dout = new DebugWriter(Task.out);
		}
		
		new Task().solve();
		Task.out.close();
	}
}

final class Task {
	public static InputReader in;
	public static OutputWriter out;
	public static DebugWriter dout;
	
	public void solve() {
		int n = in.readInt();
		long[] mas = new long[n];
		for (int i = 0; i < n; ++i)
			mas[i] = in.readInt();
		
		TreeSet<Long> q = new TreeSet<>();
		for (int j = 40; j >= 0; --j) {
			// dout.printLine(j);
			long value = (1L << (j + 1)) - 1;
			boolean flag = false;
			q.clear();
			for (int i = 0; i < n; ++i)
				if ((mas[i] & (1L << j)) != 0) {
					flag = true;
					q.add(mas[i]);
					value &= mas[i];
				}
			if (flag && (value & (1L << j)) != 0 &&  (value & ((1L << j) - 1)) == 0) {
				
				out.printLine(q.size());
				int count = 0;
				for (long x : q) {
					out.print(x);
					++count;
					if (count == q.size())
						out.printLine();
					else out.print(" ");
				}
				break;
			}
		}
	}
}

final class InputReader {
	private boolean finished = false;

	private InputStream stream;
	private byte[] buf = new byte[1 << 13];
	private int curChar;
	private int numChars;

	public InputReader(InputStream stream) {
		this.stream = stream;
	}

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

	public int peek() {
		if (numChars == -1)
			return -1;
		if (curChar >= numChars) {
			curChar = 0;
			try {
				numChars = stream.read(buf);
			} catch (IOException e) {
				return -1;
			}
			if (numChars <= 0)
				return -1;
		}
		return buf[curChar];
	}

	public int readInt() {
		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 readLong() {
		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 readString() {
		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 static boolean isSpaceChar(int c) {
		return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
	}

	private String readLine0() {
		StringBuilder buf = new StringBuilder();
		int c = read();
		while (c != '\n' && c != -1) {
			if (c != '\r')
				buf.appendCodePoint(c);
			c = read();
		}
		return buf.toString();
	}

	public String readLine() {
		String s = readLine0();
		while (s.trim().length() == 0)
			s = readLine0();
		return s;
	}

	public String readLine(boolean ignoreEmptyLines) {
		if (ignoreEmptyLines)
			return readLine();
		else
			return readLine0();
	}
	
	public String readToEnd() {
		StringBuilder buf = new StringBuilder();
		int c = read();
		while (c != -1) {
			if (c != '\r')
				buf.appendCodePoint(c);
			c = read();
		}
		return buf.toString();
	}

	public BigInteger readBigInteger() {
		try {
			return new BigInteger(readString());
		} catch (NumberFormatException e) {
			throw new InputMismatchException();
		}
	}

	public char readCharacter() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		return (char) c;
	}

	public double readDouble() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		int sgn = 1;
		if (c == '-') {
			sgn = -1;
			c = read();
		}
		double res = 0;
		while (!isSpaceChar(c) && c != '.') {
			if (c == 'e' || c == 'E')
				return res * Math.pow(10, readInt());
			if (c < '0' || c > '9')
				throw new InputMismatchException();
			res *= 10;
			res += c - '0';
			c = read();
		}
		if (c == '.') {
			c = read();
			double m = 1;
			while (!isSpaceChar(c)) {
				if (c == 'e' || c == 'E')
					return res * Math.pow(10, readInt());
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				m /= 10;
				res += (c - '0') * m;
				c = read();
			}
		}
		return res * sgn;
	}

	public boolean isExhausted() {
		int value;
		while (isSpaceChar(value = peek()) && value != -1)
			read();
		return value == -1;
	}
	
	public void close() {
		try {
			stream.close();
		} catch (IOException e) {
			throw new RuntimeException();           
		}
	}
}

final class OutputWriter {
	private final PrintWriter writer;

	public OutputWriter(OutputStream outputStream) {
		writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream), 1 << 13));
	}

	public OutputWriter(Writer writer) {
		this.writer = new PrintWriter(writer);
	}


	public void print(Object... objects) {
		for (int i = 0; i < objects.length; i++) {
			if (i != 0)
				writer.print(' ');
			writer.print(objects[i]);
		}
	}

	public void printLine(Object... objects) {
		print(objects);
		writer.println();
	}

	public void printFormat(String format, Object... objects) {
		writer.printf(format, objects);
	}


	public void print(char[] objects) {
		writer.print(objects);
	}

	public void printLine(char[] objects) {
		writer.println(objects);
	}

	public void printLine(char[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
	}


	public void print(int[] objects) {
		for (int i = 0; i < objects.length; i++) {
			if (i != 0)
				writer.print(' ');
			writer.print(objects[i]);
		}
	}

	public void printLine(int[] objects) {
		print(objects);
		writer.println();
	}

	public void printLine(int[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
	}


	public void print(short[] objects) {
		for (int i = 0; i < objects.length; i++) {
			if (i != 0)
				writer.print(' ');
			writer.print(objects[i]);
		}
	}

	public void printLine(short[] objects) {
		print(objects);
		writer.println();
	}

	public void printLine(short[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
	}


	public void print(long[] objects) {
		for (int i = 0; i < objects.length; i++) {
			if (i != 0)
				writer.print(' ');
			writer.print(objects[i]);
		}
	}

	public void printLine(long[] objects) {
		print(objects);
		writer.println();
	}

	public void printLine(long[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
	}


	public void print(double[] objects) {
		for (int i = 0; i < objects.length; i++) {
			if (i != 0)
				writer.print(' ');
			writer.print(objects[i]);
		}
	}

	public void printLine(double[] objects) {
		print(objects);
		writer.println();
	}

	public void printLine(double[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
	}


	public void print(byte[] objects) {
		for (int i = 0; i < objects.length; i++) {
			if (i != 0)
				writer.print(' ');
			writer.print(objects[i]);
		}
	}

	public void printLine(byte[] objects) {
		print(objects);
		writer.println();
	}

	public void printLine(byte[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
	}


	public void print(boolean[] objects) {
		for (int i = 0; i < objects.length; i++) {
			if (i != 0)
				writer.print(' ');
			writer.print(objects[i]);
		}
	}

	public void printLine(boolean[] objects) {
		print(objects);
		writer.println();
	}

	public void printLine(boolean[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
	}


	public void close() {
		writer.close();
	}

	public void flush() {
		writer.flush();
	}
}

final class DebugWriter {
	private final OutputWriter writer;

	public DebugWriter(OutputWriter writer) {
		this.writer = writer;
	}

	private void printDebugMessage() {
		writer.print("DEBUG:\t");
	}

	public void printLine(Object... objects) {
		printDebugMessage();
		writer.printLine(objects);
		flush();
	}

	public void printFormat(String format, Object... objects) {
		printDebugMessage();
		writer.printFormat(format, objects);
		flush();
	}

	public void printLine(char[] objects) {
		printDebugMessage();
		writer.printLine(objects);
		flush();
	}

	public void printLine(char[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
		flush();
	}

	public void printLine(double[] objects) {
		printDebugMessage();
		writer.printLine(objects);
		flush();
	}

	public void printLine(double[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
		flush();
	}

	public void printLine(int[] objects) {
		printDebugMessage();
		writer.printLine(objects);
		flush();
	}

	public void printLine(int[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
		flush();
	}

	public void printLine(short[] objects) {
		printDebugMessage();
		writer.printLine(objects);
		flush();
	}

	public void printLine(short[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
		flush();
	}

	public void printLine(long[] objects) {
		printDebugMessage();
		writer.printLine(objects);
		flush();
	}

	public void printLine(long[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
		flush();
	}

	public void printLine(byte[] objects) {
		printDebugMessage();
		writer.printLine(objects);
		flush();
	}

	public void printLine(byte[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
		flush();
	}

	public void printLine(boolean[] objects) {
		printDebugMessage();
		writer.printLine(objects);
		flush();
	}

	public void printLine(boolean[][] objects) {
		for (int i = 0; i < objects.length; ++i)
			printLine(objects[i]);
		flush();
	}

	public void flush() {
		writer.flush();
	}
}
