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;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
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.nextInt();
            Operation[] operations = new Operation[n];
            for (int i = 0; i < n; ++i) {
                operations[i] = new Operation(in.next().charAt(0), in.nextInt());
            }
            Operation[] ans = new Operation[4];
            ans[0] = new Operation('&', 1023);
            ans[1] = new Operation('|', 0); // id func in fact
            ans[2] = new Operation('^', 0);
            ans[3] = new Operation('|', 0);
            for (int bit = 0; bit < 10; ++bit) {
                int[] fRes = {0, 1 << bit};
                for (int bitVal = 0; bitVal < 2; ++bitVal) {
                    for (int i = 0; i < n; ++i) {
                        fRes[bitVal] = operations[i].apply(fRes[bitVal]);
                    }
                    if ((fRes[bitVal] & (1 << bit)) > 0) {
                        fRes[bitVal] = 1;
                    } else {
                        fRes[bitVal] = 0;
                    }
                }
                if (fRes[0] == 0 && fRes[1] == 0) {
                    ans[0].value &= ~(1 << bit);
                } else if (fRes[0] == 0 && fRes[1] == 1) {
                    ans[1].value += 0;
                } else if (fRes[0] == 1 && fRes[1] == 0) {
                    ans[2].value |= (1 << bit);
                } else {
                    ans[3].value |= (1 << bit);
                }
            }
            out.println(ans.length);
            for (Operation op : ans) {
                out.println(op.type + " " + op.value);
            }
        }

        class Operation {
            char type;
            int value;

            public Operation(char type, int value) {
                this.type = type;
                this.value = value;
            }

            public int apply(int x) {
                if (type == '|') {
                    return x | value;
                }
                if (type == '&') {
                    return x & value;
                }
                return x ^ value;
            }

        }

    }

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

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 65536 / 2);
            tokenizer = null;
        }

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

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

    }
}