Problem: Given two non-negative decimal integers $a$ and $b$, calculate their AND (logical conjunction), OR (logical disjunction) and XOR (exclusive disjunction) and print them in binary representation of 32 bits.

Constraints

* $0 \leq a, b \leq 2^{32} - 1$

Input

The input is given in the following format.


$a \; b$


Output

Print results of AND, OR and XOR in a line respectively.

Example

Input

8 10


Output

00000000000000000000000000001000
00000000000000000000000000001010
00000000000000000000000000000010

Solution (in CPP):

Solution:
#include <iostream>
#include <cstdio>

using namespace std;

void binPrint(int x, int bits){
  for (int i=bits-1; i>=0; i--){
    cout << (x&(1<<i)?1:0);
  }
  cout << endl;
}
int main(void){
  unsigned a,b;
  cin >> a >> b;

  binPrint(a&b, 32);
  binPrint(a|b, 32);
  binPrint(a^b, 32);
  
  return 0;
}