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.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

/**
 * @author Pavel Mavrin
 */
public class A {

    private void solve() throws IOException {
        int n = nextInt();
        int[] st = new int[10];
        for (int i = 0; i < n; i++) {
            String c = next();
            int x = nextInt();
            switch (c) {
                case "|":
                    for (int j = 0; j < 10; j++) {
                        if ((x & (1 << j)) > 0) {
                            st[j] = 1;
                        }
                    }
                    break;
                case "&":
                    for (int j = 0; j < 10; j++) {
                        if ((x & (1 << j)) == 0) {
                            st[j] = 2;
                        }
                    }
                    break;
                case "^":
                    for (int j = 0; j < 10; j++) {
                        if ((x & (1 << j)) > 0) {
                            st[j] = 3 - st[j];
                        }
                    }
                    break;
            }
        }

        out.println(3);

        int x = 0;
        for (int j = 0; j < 10; j++) {
            if (st[j] == 1) {
                x |= (1 << j);
            }
        }
        out.println("| " + x);

        x = 0;
        for (int j = 0; j < 10; j++) {
            if (st[j] != 2) {
                x |= (1 << j);
            }
        }
        out.println("& " + x);

        x = 0;
        for (int j = 0; j < 10; j++) {
            if (st[j] == 3) {
                x |= (1 << j);
            }
        }
        out.println("^ " + x);

    }

    // ------------------

    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st;
    PrintWriter out = new PrintWriter(System.out);

    String next() throws IOException {
        while (st == null || !st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }

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

    public static void main(String[] args) throws IOException {
        new A().run();
    }

    private void run() throws IOException {
        solve();
        out.close();
    }

}