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.util.StringTokenizer;

/**
 * Created by Katushka on 27.01.2020.
 */
public class ShortProgram {
    public static void main(String[] args) {
        InputReader in = new InputReader(System.in);

        int n = in.nextInt();
        int a0 = 0;
        int a1 = 1023;
        for (int i = 0; i < n; i++) {
            int ch = in.nextChar();
            int x = in.nextInt();
            if (ch == '|') {
                a0 |= x;
                a1 |= x;
            } else if (ch == '&') {
                a0 &= x;
                a1 &= x;
            } else {
                a0 ^= x;
                a1 ^= x;
            }
        }
        int x1 = 0;
        int x2 = 0;
        int d = 1;
        for (int i = 0; i < 10; i++) {
            int b0 = a0 % 2;
            int b1 = a1 % 2;

            if (b0 == 0 && b1 == 0) {

            } else if (b0 == 1 && b1 == 0) {
                x1 += d;
                x2 += d;
            } else if (b0 == 0 && b1 == 1) {
                x1 += d;
            } else {
                x2 += d;
            }

            d *= 2;

            a0 /= 2;
            a1 /= 2;
        }
        System.out.println(2);
        System.out.println("& " + x1);
        System.out.println("^ " + x2);

    }

    private static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    final String str = reader.readLine();
                    tokenizer = new StringTokenizer(str);
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public String nextString() {
            try {
                return reader.readLine();
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

        public long nextLong() {
            return Long.parseLong(next());
        }

        public char nextChar() {
            return next().charAt(0);
        }
    }
}