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 <bits/stdc++.h>
using namespace std;
struct Fast { Fast() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20);} } fast;

long long mod = 1000000007;

long long div(long long a, long long b, long long c){
    return b / c - (a - 1) / c;
}

void print_binary(long long a) {
    for (int i = 31; i >= 0; i--) {
        cout << (a >> i & 1);
    }
    cout << endl;
}

int main(){
    unsigned int a, b, c;
    cin >> a >> b;
    c = a & b;
    print_binary(c);
    c = a | b;
    print_binary(c);
    c = a ^ b;
    print_binary(c);
}