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;
        FastScanner in = new FastScanner(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        C solver = new C();
        solver.solve(1, in, out);
        out.close();
    }

    static class C {
        int[][] bits;

        public void solve(int testNumber, FastScanner in, PrintWriter out) {
            int n = in.ni();
            char[] op = new char[n];
            int[] x = new int[n];
            for (int i = 0; i < n; i++) {
                op[i] = in.ns().charAt(0);
                x[i] = in.ni();
            }
            int[] nums = new int[]{0, 1023};

            bits = new int[2][10];
            for (int l = 0; l < 2; l++) {
                int num = nums[l];
                for (int i = 0; i < n; i++) {
                    if (op[i] == '&') {
                        num &= x[i];
                    } else if (op[i] == '|') {
                        num |= x[i];
                    } else if (op[i] == '^') {
                        num ^= x[i];
                    }
                }
                for (int j = 0; j < 10; j++) {
                    if ((num & (1 << j)) > 0)
                        bits[l][j] = 1;
                }
            }
//       System.out.println("Arrays.toString(bits[0]) = " + Arrays.toString(bits[0]));
//        System.out.println("Arrays.toString(bits[1]) = " + Arrays.toString(bits[1]));

            int xAnd = 1023;
            int xXor = 0;
            int xOr = 0;
            for (int i = 0; i < 10; i++) {
                if (bits[1][i] == 1 && bits[0][i] == 1) {
                    xOr |= (1 << i);
                } else if (bits[1][i] == 0 && bits[0][i] == 0) {
                    xAnd ^= (1 << i);
                } else if (bits[1][i] == 0 && bits[0][i] == 1) {
                    xXor ^= (1 << i);
                }
            }
            out.println(3);
            out.println("& " + xAnd);
            out.println("| " + xOr);
            out.println("^ " + xXor);

        }

    }

    static class FastScanner {
        private BufferedReader in;
        private StringTokenizer st;

        public FastScanner(InputStream stream) {
            in = new BufferedReader(new InputStreamReader(stream));
        }

        public String ns() {
            while (st == null || !st.hasMoreTokens()) {
                try {
                    String rl = in.readLine();
                    if (rl == null) {
                        return null;
                    }
                    st = new StringTokenizer(rl);
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return st.nextToken();
        }

        public int ni() {
            return Integer.parseInt(ns());
        }

    }
}