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.BufferedWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.StringTokenizer;

public class Div1_443A {

	static final int UNSET = 0;
	static final int SET = 1;
	static final int NORM = 2;
	static final int INVT = 3;

	public static void main(String[] args) throws IOException {
		BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
		PrintWriter printer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
		int nL = Integer.parseInt(reader.readLine());
		int[] cState = new int[10];
		Arrays.fill(cState, NORM);

		while (nL-- > 0) {
			StringTokenizer inputData = new StringTokenizer(reader.readLine());
			String op = inputData.nextToken();
			int cNum = Integer.parseInt(inputData.nextToken());

			if (op.equals("&")) {
				for (int i = 0; i < 10; i++) {
					if ((cNum & (1 << i)) == 0) {
						cState[i] = UNSET;
					}
				}
			} else if (op.equals("|")) {
				for (int i = 0; i < 10; i++) {
					if ((cNum & (1 << i)) != 0) {
						cState[i] = SET;
					}
				}
			} else {
				for (int i = 0; i < 10; i++) {
					if ((cNum & (1 << i)) != 0) {
						cState[i] ^= 1;
					}
				}
			}
		}

		printer.println(3);

		int andV = (1 << 10) - 1;
		int orV = 0;
		int xorV = 0;

		for (int i = 0; i < 10; i++) {
			if (cState[i] == UNSET) {
				andV ^= 1 << i;
			} else if (cState[i] == SET) {
				orV ^= 1 << i;
			} else if (cState[i] == INVT) {
				xorV ^= 1 << i;
			}
		}
		printer.println("& " + andV);
		printer.println("| " + orV);
		printer.println("^ " + xorV);
		printer.close();
	}

}