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.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author pandusonu
 */
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);
        TaskC solver = new TaskC();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskC {
        public void solve(int testNumber, InputReader in, PrintWriter out) {
            int n = in.readInt();
            int x1 = 1023, x2 = 0;
            for (int i = 0; i < n; i++) {
                char c = in.readString().charAt(0);
                int u = in.readInt();
                if (c == '|') {
                    x1 |= u;
                    x2 |= u;
                } else if (c == '&') {
                    x1 &= u;
                    x2 &= u;
                } else {
                    x1 ^= u;
                    x2 ^= u;
                }
            }
            int or = 0, and = 1023, xor = 0;
            for (int i = 0; i < 10; i++) {
                boolean x1ch = (x1 & (1 << i)) != 0;
                boolean x2ch = (x2 & (1 << i)) != 0;
                if (x1ch && x2ch)
                    or |= (1 << i);
                else if (!x1ch && !x2ch)
                    and ^= (1 << i);
                else if (!x1ch && x2ch)
                    xor |= (1 << i);
            }
            out.println(3);
            out.println("| " + or);
            out.println("& " + and);
            out.println("^ " + xor);
        }

    }

    static class InputReader {
        private final InputStream stream;
        private final byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        private int read() {
            try {
                if (curChar >= numChars) {
                    curChar = 0;
                    numChars = stream.read(buf);
                    if (numChars <= 0)
                        return -1;
                }
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
            return buf[curChar++];
        }

        public int readInt() {
            return (int) readLong();
        }

        public long readLong() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
                if (c == -1) throw new RuntimeException();
            }
            boolean negative = false;
            if (c == '-') {
                negative = true;
                c = read();
            }
            long res = 0;
            do {
                if (c < '0' || c > '9') throw new InputMismatchException();
                res *= 10;
                res += (c - '0');
                c = read();
            } while (!isSpaceChar(c));
            return negative ? (-res) : (res);
        }

        public String readString() {
            int c = read();
            while (isSpaceChar(c)) c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.append((char) c);
                c = read();
            } while (!isSpaceChar(c));
            return res.toString();
        }

        private boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

    }
}