Problem: 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.

Solution (in JAVA):

Solution:

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.StringTokenizer;

/*
 * To change this license header, choose License Headers in Project Properties.
 * To change this template file, choose Tools | Templates
 * and open the template in the editor.
 */

/**
 *
 * @author Andy Phan
 */
public class a {
    public static void main(String[] args) {
        FS in = new FS(System.in);
        PrintWriter out = new PrintWriter(System.out);
        
        int bits = (1<<10)-1;
        
        int n = in.nextInt();
        char[] type = new char[n];
        int[] val = new int[n];
        
        for(int i = 0; i < n; i++) {
            type[i] = in.next().charAt(0);
            val[i] = in.nextInt();
        }
        
        int and = bits;
        for(int i = n-1; i >= 0; i--) {
            if(type[i] == '&') and &= val[i];
            else val[i] &= and;
        }
        int or = 0;
        for(int i = n-1; i >= 0; i--) {
            if(type[i] == '|') or |= val[i];
            else val[i] &= (bits-or);
        }
        
        int xor = 0;
        for(int i = 0; i < n; i++) if(type[i] == '^') xor ^= val[i];
        System.out.println(3);
        System.out.println("& " + and);
        System.out.println("| " + or);
        System.out.println("^ " + xor);
        
        out.close();
    }
    
    static class FS {

        BufferedReader in;
        StringTokenizer token;
        
        public FS(InputStream str) {
            in = new BufferedReader(new InputStreamReader(str));
        }
        
        public String next() {
            if (token == null || !token.hasMoreElements()) {
                try {
                    token = new StringTokenizer(in.readLine());
                } catch (IOException ex) {
                }
                return next();
            }
            return token.nextToken();
        }
        
        public int nextInt() {
            return Integer.parseInt(next());
        }
    }
}