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.InputStream;
import java.io.InputStreamReader;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.*;

import static java.lang.Math.abs;
import static java.lang.Math.max;
import static java.lang.Math.min;
import static java.util.Arrays.copyOf;
import static java.util.Arrays.fill;
import static java.util.Arrays.sort;
import static java.util.Collections.reverseOrder;
import static java.util.Collections.sort;

public class Main {
    private FastScanner in;
    private PrintWriter out;

    private void solve() throws IOException {
        int[] a = new int[10];
        fill(a, 2);

        int n = in.nextInt();
        String[] s;
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < n; i++) {
            s = in.nextLine().split(" ");

            sb.delete(0, sb.length());
            sb.append(Integer.toBinaryString(Integer.parseInt(s[1])));
            sb.reverse();
            while (sb.length() < 10)
                sb.append("0");
            sb.reverse();
            s[1] = sb.toString();

            switch (s[0]) {
                case "^":
                    for (int j = 0; j < s[1].length(); j++)
                        if (s[1].charAt(j) == '1')
                            a[j] = -a[j];
                    break;
                case "|":
                    for (int j = 0; j < s[1].length(); j++)
                        if (s[1].charAt(j) == '1')
                            a[j] = 1;
                    break;
                case "&":
                    for (int j = 0; j < s[1].length(); j++)
                        if (s[1].charAt(j) == '0')
                            a[j] = -1;
                    break;
            }
        }

        ArrayList<String> ans = new ArrayList<>();

        int and = 0;
        for (int i = 0; i < 10; i++) {
            if (a[i] != -1)
                and++;
            and *= 2;
        }

        ans.add("& " + and / 2);

        int or = 0;
        for (int i = 0; i < 10; i++) {
            if (a[i] == 1)
                or++;
            or *= 2;
        }

        ans.add("| " + or / 2);

        int xor = 0;
        for (int i = 0; i < 10; i++) {
            if (a[i] == -2)
                xor++;
            xor *= 2;
        }

        ans.add("^ " + xor / 2);

        out.println(3);
        for (String i : ans)
            out.println(i);
    }

    class FastScanner {
        StringTokenizer st;
        BufferedReader br;

        FastScanner(InputStream s) {
            br = new BufferedReader(new InputStreamReader(s));
        }

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

        boolean hasNext() throws IOException {
            return br.ready() || (st != null && st.hasMoreTokens());
        }

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

        long nextLong() throws IOException {
            return Long.parseLong(next());
        }

        double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }

        String nextLine() throws IOException {
            return br.readLine();
        }

        boolean hasNextLine() throws IOException {
            return br.ready();
        }

    }

    private void run() throws IOException {
        in = new FastScanner(System.in); // in = new FastScanner(new FileInputStream(".in"));
        out = new PrintWriter(System.out); // out = new PrintWriter(new FileOutputStream(".out"));

        solve();

        out.flush();
        out.close();
    }

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