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:
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// Main Code at the Bottom
import java.util.*;
import java.lang.*;
import java.io.*;
public class Main {
	//Fast IO class
    static class FastReader {
        BufferedReader br; 
        StringTokenizer st; 
        public FastReader() {
        	boolean env=System.getProperty("ONLINE_JUDGE") != null;
        	if(!env) {
        		try {
					br=new BufferedReader(new FileReader("src\\input.txt"));
				} catch (FileNotFoundException e) {
					e.printStackTrace();
				}
        	}
        	else br = new BufferedReader(new InputStreamReader(System.in)); 
        } 
        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine()); 
                } 
                catch (IOException  e) {
                    e.printStackTrace(); 
                } 
            } 
            return st.nextToken(); 
        } 
        int nextInt() {
            return Integer.parseInt(next()); 
        } 
        long nextLong() {
            return Long.parseLong(next()); 
        } 
        double nextDouble() {
            return Double.parseDouble(next()); 
        } 
        String nextLine() {
            String str = ""; 
            try {
                str = br.readLine(); 
            } 
            catch (IOException e) {
                e.printStackTrace(); 
            } 
            return str; 
        } 
    }     
    static long MOD=1000000000+7;
    //Euclidean Algorithm
    static long gcd(long A,long B){
        if(B==0) return A;
        return gcd(B,A%B);
    }
    //Modular Exponentiation
    static long fastExpo(long x,long n){
        if(n==0) return 1;
        if((n&1)==0) return fastExpo((x*x)%MOD,n/2)%MOD;
        return ((x%MOD)*fastExpo((x*x)%MOD,(n-1)/2))%MOD;
    }
    //Prime Number Algorithm
    static boolean isPrime(long n){
        if(n<=1) return false;
        if(n<=3) return true;
        if(n%2==0 || n%3==0) return false;
        for(int i=5;i*i<=n;i+=6) if(n%i==0 || n%(i+2)==0) return false;
        return true;
    }
    //Reverse an array
    static <T> void reverse(T arr[],int l,int r){
    	Collections.reverse(Arrays.asList(arr).subList(l, r));
    }
    //Print array
    static <T> void print1d(T arr[]) {
    	out.println(Arrays.toString(arr));
    }
    static <T> void print2d(T arr[][]) {
    	for(T a[]: arr) out.println(Arrays.toString(a));
    }
    // Pair
    static class pair{
    	long x,y;
    	pair(long a,long b){
    		this.x=a;
    		this.y=b;
    	}
    	public boolean equals(Object obj) {
    		if(obj == null || obj.getClass()!= this.getClass()) return false;
            pair p = (pair) obj;
            return (this.x==p.x && this.y==p.y);
        }
    	public int hashCode() {
            return Objects.hash(x,y);
        }
    }
    static FastReader sc=new FastReader();
    static PrintWriter out=new PrintWriter(System.out);
    //Main function(The main code starts from here) 
    static char a[]=new char[10];
    static void solve(char op,int y) {
    	char tmp[]=new char[10];
    	Arrays.fill(tmp, '0');
    	int len=9;
    	while(y>0) {
    		if((y&1)==1) tmp[len]='1';
    		else tmp[len]='0';
    		len--;
    		y=(y>>1);
    	}
    	if(op=='&') {
    		for(int i=0;i<10;i++) if(tmp[i]=='0') a[i]='0';
    	}
    	else if(op=='|') {
    		for(int i=0;i<10;i++) if(tmp[i]=='1') a[i]='1';
    	}
    	else {
    		for(int i=0;i<10;i++) if(tmp[i]=='1') {
    			if(a[i]=='1') a[i]='0';
    			else if(a[i]=='0') a[i]='1';
    			else if(a[i]=='x')a[i]='z';
    			else a[i]='x';
    		}
    	}
    }
    public static void main (String[] args) throws java.lang.Exception {
    	int test=1;
        while(test-->0) {
        	int n=sc.nextInt();
        	Arrays.fill(a, 'x');
        	for(int i=0;i<n;i++) solve(sc.next().charAt(0),sc.nextInt());
        	int x=1023,y=0,z=0;
        	for(int i=0;i<10;i++) {
        		if(a[i]=='0') x^=(1<<(10-i-1));
        		else if(a[i]=='1') y|=(1<<(10-i-1));
        		else if(a[i]=='z') z|=(1<<(10-i-1));
        	}
        	out.println(3);
        	out.println("& "+x);
        	out.println("| "+y);
        	out.println("^ "+z);
        }
        out.flush();
        out.close();
    }
}