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;


#define int long long
#define all(v) (v).begin(), (v).end()
#define resz(v, ...) (v).clear(), (v).resize(__VA_ARGS__)
#define reps(i, m, n) for(int i = (int)(m); i < (int)(n); i++)
#define rep(i, n) reps(i, 0, n)


using Pi = pair<int, int>;
using Tapris = tuple<int, int, int>;
using vint = vector<int>;


signed main() {
    long long a, b;

    cin >> a >> b;

    bitset<32> bita(a), bitb(b);

    cout << (bita & bitb) << endl;
    cout << (bita | bitb) << endl;
    cout << (bita ^ bitb) << endl;

    return 0;
}