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.
//codeforces_879C

import java.io.*;
import java.util.*;
import static java.lang.Math.*;
import java.math.*;

public class acm {
    static PrintWriter go = new PrintWriter(System.out);
    
    public static void main(String[] args) throws IOException {
        BufferedReader gi = new BufferedReader(new InputStreamReader(System.in));
        int n = Integer.parseInt(gi.readLine());
        String[] line;
        int operand,cur;
        String operator;
        int[] ans = new int[10];
        Arrays.fill(ans, -10);
        for (int i = 0; i < n; i++) {
            line = gi.readLine().split(" ");
            operator = line[0];
            operand = Integer.parseInt(line[1]);
            cur = 0;
            if (operator.equals("|")){
                while (cur < 10){
                    if ((operand&(1<<cur)) != 0){
                        ans[cur] = 1;
                    }
                    cur++;
                }
            }else if (operator.equals("&")){
                while (cur < 10){
                    if ((operand&(1<<cur)) == 0){
                        ans[cur] = 0;
                    }
                    cur++;
                }
            }else{
                while (cur < 10){
                    if ((operand&(1<<cur)) != 0){
                        if (ans[cur] == 10 || ans[cur] == -10){
                            ans[cur] = -ans[cur];
                        }else{
                            ans[cur] = ans[cur]^1;
                        }
                    }
                    cur++;
                }
            }
        }
        int or, and, xor;
        or = xor = 0;
        and = 1023;
        for (int i = 0; i < 10; i++) {
            if (ans[i] == 0){
                and -= (1<<i);
            }else if (ans[i] == 1){
                or += (1<<i);
            }else if (ans[i] == 10){
                xor += (1<<i);
            }
        }
        go.println(3);
        go.print("| ");
        go.println(or);
        go.print("& ");
        go.println(and);
        go.print("^ ");
        go.println(xor);
        go.close();
    }
    
    static int[] parseArray(BufferedReader gi) throws IOException{
        String[] line = gi.readLine().split(" ");
        int[] ans = new int[line.length];
        for (int i = 0; i < line.length; i++) {
            ans[i] = Integer.parseInt(line[i]);
        }
        return ans;
    }
}