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 PYTHON):

Solution:
n = int(raw_input())

# a = 0
# b = 1023

targa = 0
targb = 1023

for i in xrange(n):
    stuff = raw_input().split()
    if stuff[0] == '|':
        targa = targa | int(stuff[1])
        targb = targb | int(stuff[1])
    elif stuff[0] == '^':
        targa = targa ^ int(stuff[1])
        targb = targb ^ int(stuff[1])
    else:
        targa = targa & int(stuff[1])
        targb = targb & int(stuff[1])
        
astr = bin(targa)[2:].zfill(10)
bstr = bin(targb)[2:].zfill(10)

orstr = ""
andstr = ""
xorstr = ""

for i in xrange(10):
    a = astr[i]
    b = bstr[i]
    if a == '0':
        andstr += b
        orstr += '0'
        xorstr += '0'
    elif b == '1':
        andstr += '1'
        orstr += a
        xorstr += '0'
    else:
        andstr += '1'
        orstr += '0'
        xorstr += '1'
        
print 3
print '& ' + str(int(andstr, 2))
print '| ' + str(int(orstr, 2))
print '^ ' + str(int(xorstr, 2))