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:
//Codeforces Round #443 (Div. 2)
import java.io.*;
import java.util.*;

public class TaskC {

    static final int EQU = 0;
    static final int NOT = 1;
    static final int ZER = 2;
    static final int ONE = 3;

    public static void main (String[] args) throws IOException {
        FastScanner fs = new FastScanner(System.in);
        PrintWriter pw = new PrintWriter(new BufferedOutputStream(System.out));

        int n = fs.nextInt();

        int[] o = new int[10];

        for (int i = 0; i < n; i++) {
            String s = fs.next();            
            int x = fs.nextInt();
            for (int j = 0; j < 10; j++) {
                if ((x & 1) == 0) {
                    if (s.equals("&")) {
                        o[j] = ZER;
                    } 
                } else {
                    if (s.equals("|")) {
                        o[j] = ONE;
                    } else if (s.equals("^")) {
                        if (o[j] == EQU) {
                            o[j] = NOT;
                        } else if (o[j] == NOT) {
                            o[j] = EQU;
                        } else if (o[j] == ZER) {
                            o[j] = ONE;
                        } else if (o[j] == ONE) {
                            o[j] = ZER;
                        }
                    }
                }
                x >>= 1;    
            }
        }
        
        pw.println(3);
        
        pw.print("& ");
        int x = 0;
        for (int j = 0; j < 10; j++) {
            if (o[j] != ZER) x |= (1<<j);
        }
        pw.println(x);

        pw.print("| ");
        x = 0;
        for (int j = 0; j < 10; j++) {
            if (o[j] == ONE) x |= (1<<j);
        }
        pw.println(x);

        pw.print("^ ");
        x = 0;
        for (int j = 0; j < 10; j++) {
            if (o[j] == NOT) x |= (1<<j);
        }
        pw.println(x);

        pw.close();
    }

    static class FastScanner {
        BufferedReader reader;
        StringTokenizer tokenizer;
        FastScanner(InputStream i) {
            reader = new BufferedReader(new InputStreamReader(i));
            tokenizer = new StringTokenizer("");
        }
        String next() throws IOException {
            while(!tokenizer.hasMoreTokens()) tokenizer = new StringTokenizer(reader.readLine());
            return tokenizer.nextToken();
        }
        int nextInt() throws IOException {
            return Integer.parseInt(next());
        }
        long nextLong() throws IOException {
            return Long.parseLong(next());
        }
    }
}