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:
//package CF;

import java.io.BufferedReader;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.StringTokenizer;

public class A {

	public static void main(String[] args) throws Exception {
		Scanner sc = new Scanner(System.in);
		PrintWriter out = new PrintWriter(System.out);
		int n = sc.nextInt();
		int [] on = new int[10]; // 1: on, 2: off
		boolean [] sw = new boolean[10];
		while(n-->0){
			char c = sc.next().charAt(0);
			int x = sc.nextInt();
			for (int i = 0; i < 10; i++) {
				if((x & (1<<i)) != 0)
				{
					if(c == '|'){
						on[i] = 1;
						sw[i] = false;
					}
					else if(c == '^'){
						if(on[i] == 0)
							sw[i] ^= true;
						else if(on[i] == 1)
							on[i] = 2;
						else on[i] = 1;
					}
				}
				else{
					if(c == '&'){
						on[i] = 2;
						sw[i] = false;
					}
				}
			}
		}
		ArrayList<String> com = new ArrayList<>();
		int ans = 0;
		for (int i = 0; i < on.length; i++) {
			ans |= on[i] == 1?1<<i:0; 
		}
		com.add("| " + ans);
		ans = 0;
		for (int i = 0; i < on.length; i++) {
			ans |= on[i] == 2?0:1<<i; 
		}
		com.add("& " + ans);
		ans = 0;
		for (int i = 0; i < sw.length; i++) {
			ans |= sw[i]?1<<i:0;
		}
		com.add("^ " + ans);
		out.println(com.size());
		for(String s:com)
			out.println(s);
		out.flush();
		out.close();
	}

	static class Scanner {
		StringTokenizer st;
		BufferedReader br;

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

		public Scanner(FileReader fileReader) {
			br = new BufferedReader(fileReader);
		}

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

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

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

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

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