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 <vector>
#include <algorithm>
#include <bitset>

#define INPUT_FROM_FILE (0) 
#if INPUT_FROM_FILE
#include <fstream>
#endif

int main(){
	long a, b;

#if INPUT_FROM_FILE
	std::ifstream ifs("test.txt");
	//FILE *fp = fopen("test.txt", "r");
#endif

#if INPUT_FROM_FILE
	ifs >> a >> b;
#else
	std::cin >> a >> b;
#endif

	std::cout << std::bitset<32>(a & b) << std::endl;
	std::cout << std::bitset<32>(a | b) << std::endl;
	std::cout << std::bitset<32>(a ^ b) << std::endl;

   
#if INPUT_FROM_FILE
	//fclose(fp);
#endif
	return 0;
}