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 PYTHON3):

Solution:
import os
import sys
from io import BytesIO, IOBase
 
BUFSIZE = 8192
 
 
class FastIO(IOBase):
    newlines = 0
 
    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None
 
    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()
 
    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()
 
    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)
 
 
class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")
 
 
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
######################################
a=int(input())
bits=['r' for i in range(10)]
temp=['r' for i in range(10)]
for i in range(a):
    x,y=input().split()
    y=int(y)
    n=bin(y)
    n=n[2:]
    ans=''
    for i in range(10-len(n)):
        ans+='0'
    ans=ans+n
    
    if(x=='|'):
        
        for i in range(len(bits)):
            if(ans[i]=='1'):
                temp[i]='1'
            
    if(x=='&'):
        for i in range(len(bits)):
            if(ans[i]=='0'):
                temp[i]='0'
    if(x=='^'):
        for i in range(len(bits)):
            if((temp[i]=='0' and ans[i]=='1') or (temp[i]=='1' and ans[i]=='0')):
                temp[i]='1'
            elif(temp[i]==ans[i] and (temp[i]=='0' or temp[i]=='1')):
                temp[i]='0'
            else:
                if(ans[i]=='1'):
                    if(temp[i]=='r'):
                        temp[i]='rb'
                    else:
                        temp[i]='r'


ad=['0' for i in range(10)]
xor=['0' for i in range(10)]
nd=['1' for i in range(10)]

for i in range(len(temp)):
    if(temp[i]=='1'):
        ad[i]='1'
        nd[i]='1'
        xor[i]='0'
    elif(temp[i]=='0'):
        nd[i]='0'
        ad[i]='0'
        xor[i]='1'
    elif(temp[i]=='rb'):
        xor[i]='1'
        ad[i]='0'
        nd[i]='1'
    else:
        xor[i]='0'
        ad[i]='0'
        nd[i]='1'

ad=int(''.join(map(str,ad)),2)
nd=int(''.join(map(str,nd)),2)
xor=int(''.join(map(str,xor)),2)
print(3)
print('^',xor)
print('&',nd)
print('|',ad)