Problem: <image>

Input

The input contains two integers a1, a2 (0 ≤ ai ≤ 32), separated by a single space.

Output

Output a single integer.

Examples

Input

1 1


Output

0


Input

3 7


Output

0


Input

13 10


Output

1

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int a, b, x, y, d, c;
int main() {
  cin >> a >> b;
  a = 2 * a - 2;
  for (int i = a; i >= 0; i = i - 2) {
    c = 4 * d | (b >> i) & 3;
    x = (x << 1) | (0x936c >> c) & 1;
    y = (y << 1) | (0x39c6 >> c) & 1;
    d = (0x3e6b94c1 >> 2 * c) & 3;
  }
  cout << x << " " << y;
}