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 ankur
 */
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);
        thursday solver = new thursday();
        solver.solve(1, in, out);
        out.close();
    }

    static class thursday {
        public void solve(int testNumber, InputReader in, PrintWriter out) {
            //out.println(-1);
//int n=in.nextInt();
            int n = in.nextInt();
            int ar[] = in.initdp(10);

            for (int i = 0; i < n; i++) {
                String str = in.readString();
                int op = in.nextInt();
                if (str.charAt(0) == '|') {
                    for (int j = 0; j < 10; j++) {
                        if (((1 << j) & op) != 0) {
                            ar[j] = 1;
                        }
                    }
                }
                if (str.charAt(0) == '&') {
                    //    val1 = val1 & op;
                    for (int j = 0; j < 10; j++) {
                        if (((1 << j) & op) == 0) {
                            ar[j] = 0;
                        }
                    }
                }
                if (str.charAt(0) == '^') {
                    //  val1 = val1 ^ op;
                    for (int j = 0; j < 10; j++) {
                        if (((1 << j) & op) != 0) {
                            if (ar[j] == -1) {
                                ar[j] = 2;
                            } else {
                                if (ar[j] == 2) {
                                    ar[j] = -1;
                                } else {
                                    if (ar[j] == 0) {
                                        ar[j] = 1;

                                    } else {
                                        ar[j] = 0;
                                    }
                                }
                            }
                        }
                    }

                }
            }
            int or = 0;
            int and = 0;
            int xor = 0;

            for (int i = 0; i < 10; i++) {
                if (ar[i] == 1) {
                    or += (1 << i);
                } else {
                    if (ar[i] == 0) {
                        and += (1 << i);
                    } else {
                        if (ar[i] == 2) {
                            xor += (1 << i);
                        }
                    }
                }

            }
            and = 1023 - and;
            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[8192];
        private int curChar;
        private int snumChars;

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

        public int read() {
            //*-*------clare------

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

        public int nextInt() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public int[] initdp(int n) {
            int ar[] = new int[n];
            for (int i = 0; i < n; i++) {
                ar[i] = -1;
            }
            return ar;
        }

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

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

    }
}