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
#include<iostream>
#include<algorithm>
#include<bitset>
using namespace std;
int main() {
  long long a,b;
  cin >> a >> b;
  bitset<32> ba(a),bb(b);
  cout << (ba&bb) << endl;
  cout << (ba|bb) << endl;
  cout << (ba^bb) << endl;
}
