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 <algorithm>
#include <iostream>
#include <vector>
#include <bitset>
using namespace std;

int main() {
    unsigned a, b; cin >> a >> b;
    bitset<32> x(a), y(b);
    cout << (x & y) << endl;
    cout << (x | y) << endl;
    cout << (x ^ y) << endl;
    return 0;
}