Petya learned a new programming language CALPAS. A program in this language always takes one non-negative integer and returns one non-negative integer as well.

In the language, there are only three commands: apply a bitwise operation AND, OR or XOR with a given constant to the current integer. A program can contain an arbitrary sequence of these operations with arbitrary constants from 0 to 1023. When the program is run, all operations are applied (in the given order) to the argument and in the end the result integer is returned.

Petya wrote a program in this language, but it turned out to be too long. Write a program in CALPAS that does the same thing as the Petya's program, and consists of no more than 5 lines. Your program should return the same integer as Petya's program for all arguments from 0 to 1023.

Input

The first line contains an integer n (1 ≤ n ≤ 5·105) — the number of lines.

Next n lines contain commands. A command consists of a character that represents the operation ("&", "|" or "^" for AND, OR or XOR respectively), and the constant xi 0 ≤ xi ≤ 1023.

Output

Output an integer k (0 ≤ k ≤ 5) — the length of your program.

Next k lines must contain commands in the same format as in the input.

Examples

Input

3
| 3
^ 2
| 1


Output

2
| 3
^ 2


Input

3
&amp; 1
&amp; 3
&amp; 5


Output

1
&amp; 1


Input

3
^ 1
^ 2
^ 3


Output

0

Note

You can read about bitwise operations in <https://en.wikipedia.org/wiki/Bitwise_operation>.

Second sample:

Let x be an input of the Petya's program. It's output is ((x&1)&3)&5 = x&(1&3&5) = x&1. So these two programs always give the same outputs.
import java.util.*;
import java.io.*;

public class Main
{
	static class FastReader
    {
        BufferedReader br;
        StringTokenizer st;
 
        public FastReader()
        {
            br = new BufferedReader(new
                     InputStreamReader(System.in));
        }
 
        String next()
        {
            while (st == null || !st.hasMoreElements())
            {
                try
                {
                    st = new StringTokenizer(br.readLine());
                }
                catch (IOException  e)
                {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }
 
        int nextInt()
        {
            return Integer.parseInt(next());
        }
 
        long nextLong()
        {
            return Long.parseLong(next());
        }
 
        double nextDouble()
        {
            return Double.parseDouble(next());
        }
 
        String nextLine()
        {
            String str = "";
            try
            {
                str = br.readLine();
            }
            catch (IOException e)
            {
                e.printStackTrace();
            }
            return str;
        }
    }	

    static ArrayList<Block> list = new ArrayList<Block>();

	public static void main (String[] args)
	{
		FastReader reader = new FastReader();
        PrintWriter writer = new PrintWriter(System.out);
        int totalLines = reader.nextInt();

        int i;
        Block[] chain = new Block[totalLines];

        for (i=0; i<totalLines; i++)
        {
            chain[i] = new Block();

            chain[i].operator = reader.next().charAt(0);
            chain[i].operand = reader.nextInt();
        }

        int[] array = new int[10];
        for (i=0; i<10; i++)
            array[i] = 2;

        for (i=0; i<10; i++)
        {
            for (int j=0; j<totalLines; j++)
            {
                int temp = chain[j].operand & (1<<i);

                if (chain[j].operator == '&')
                {
                    if (temp == 0)
                        array[i] = 0;
                }
                else if (chain[j].operator == '|')
                {
                    if (temp != 0)
                        array[i] = 1;
                }
                else
                {
                    if (temp != 0)
                        array[i] = toggle (array[i]);
                }
            }
        }

        int or=0, xor=0, and=0;

        for (i=0; i<10; i++)
        {
            if (array[i] == 0)
                and += (1<<i);
            else if (array[i] == 1)
                or += (1<<i);
            else if (array[i] == 3)
                xor += (1<<i);
        }
        
        and ^= 1023;

        writer.println (3);
        writer.println ('&' + " " + and);
        writer.println ('|' + " " + or);
        writer.println ('^' + " " + xor);

        writer.close();
    }	

    static int toggle (int num)
    {
        if (num == 0)
            return 1;
        else if (num == 1)
            return 0;
        else if (num == 2)
            return 3;
        else
            return 2;

    }

}

class Block
{
    char operator;
    int operand;
}