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>
#define rep(i,a,b) for (int i = (a); i < (b); i++)
#define REP(i,n) rep(i,0,n)
using namespace std;

int main()
{
    int64_t n,m;
    cin>>n>>m;
    bitset<32>a(n),b(m);
    cout<<(a&b)<<endl;
    cout<<(a|b)<<endl;
    cout<<(a^b)<<endl;
}