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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int N, b[10], v[500005];
char c[500005];
void Print_Xor() {
  int val = 0;
  for (int i = 0; i < 10; i++) {
    if (b[i] == 3) val += 1 << i;
  }
  cout << "^ " << val << "\n";
}
void Print_Or() {
  int val = 0;
  for (int i = 0; i < 10; i++) {
    if (b[i] == 1) val += 1 << i;
  }
  cout << "| " << val << "\n";
}
void Print_And() {
  int val = 1023;
  for (int i = 0; i < 10; i++) {
    if (b[i] == 0) val -= 1 << i;
  }
  cout << "& " << val << "\n";
}
int main() {
  scanf("%d", &N);
  for (int i = 1; i <= N; i++) scanf(" %c %d", &c[i], &v[i]);
  for (int t = 0; t < 10; t++) {
    b[t] = 2;
    for (int i = 1; i <= N; i++) {
      if (c[i] == '&') {
        if ((v[i] & (1 << t)) == 0) b[t] = 0;
      } else if (c[i] == '|') {
        if (v[i] & (1 << t)) b[t] = 1;
      } else {
        if (v[i] & (1 << t)) {
          if (b[t] == 2)
            b[t] = 3;
          else if (b[t] == 3)
            b[t] = 2;
          else
            b[t] = 1 - b[t];
        }
      }
    }
  }
  cout << 3 << '\n';
  Print_Xor();
  Print_And();
  Print_Or();
  return 0;
}