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:
#define _CRT_SECURE_NO_WARNINGS
#include<bits/stdc++.h>
#define INF         1e9
#define EPS         1e-9
#define REP(i,n)    for(lint i=0,i##_len=(n);i<i##_len;++i)
#define REP1(i,n)   for(lint i=1,i##_len=(n);i<=i##_len;++i)
#define REPR(i,n)   for(lint i=(n)-1;i>=0;--i)
#define REPR1(i,n)  for(lint i=(n);i>0;--i)
#define REPC(i,obj) for(auto i:obj)
#define R_UP(a,b)   (((a)+(b)-1)/(b))
#define ALL(obj)    (obj).begin(),(obj).end()
#define SETP        cout << fixed << setprecision(8)
using namespace std;
using lint = long long;
template<typename T = lint>inline T in() { T x; cin >> x; return x; }

signed main() {
	bitset<32>a(in());
	bitset<32>b(in());
	cout << (a & b) << endl;
	cout << (a | b) << endl;
	cout << (a ^ b) << endl;
}