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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;
import java.util.*;
public class Main {
    public static void main(String []args){
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        Task solver=new Task();
        solver.solve(1,in,out);
        out.close();
    }
    static class Task{
        public void solve(int testnumber,InputReader in,PrintWriter out){
            int n = in.nextInt();
            int [] bits = new int [10] ;
            for(int i = 0 ; i < 10 ; i++){
                bits[i] = 1;
            }
            for(int i = 0 ; i < n ; i++){
                String s = in.nextToken();
                int x = in.nextInt();
                if(s.charAt(0) == '^'){
                    for(int j = 0 ; j < 10 ; j++){
                        if((x&(1<<j)) != 0){
                            bits[j] ^= 3;
                        }
                    }
                } else if(s.charAt(0) == '|'){
                    for(int j = 0 ; j < 10 ; j++){
                        if((x&(1<<j)) != 0){
                            bits[j] |= 3;
                        }
                    }
                } else {
                    for(int j = 0 ; j < 10 ; j++){
                        if((x&(1<<j)) == 0){
                            bits[j] &= 0;
                        }
                    }
                }
            }
            int a = 0,b = 0,c = 1023;
            for(int i = 0 ; i < 10 ; i++){
                if(bits[i] == 2){
                    a |= (1<<i);
                } else if(bits[i] == 3){
                    b |= (1<<i);
                } else if(bits[i] == 0){
                    c -= (1<<i);
                }
            }
            out.println("3");
            out.println("^ "+a+"\n"+"| "+b+"\n"+"& "+c);
        }
    }
    static class InputReader{
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }
        private int next() {
            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 String nextToken() {
            int c = next();
            while (isSpaceChar(c))
                c = next();
            StringBuilder res = new StringBuilder();
            do {
                res.append((char) c);
                c = next();
            } while (!isSpaceChar(c));
            return res.toString();
        }
        public long nextLong(){
            return Long.parseLong(nextToken());
        }
        public int nextInt() {
            int c = next();
            while (isSpaceChar(c))
                c = next();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = next();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c-'0';
                c = next();
            } while (!isSpaceChar(c));
            return res*sgn;
        }
        public boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

    }
}