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 <iterator>
#include <vector>
#include <algorithm>
#include <string>
#include <functional>
#include <bitset>

using namespace std;

int main()
{
    unsigned int x, y;
    cin >> x >> y;

    bitset<32> a(x), b(y);

    cout << (a & b) << endl;
    cout << (a | b) << endl;
    cout << (a ^ b) << endl;

}
