H. A polyline
time limit per test
2 seconds
memory limit per test
256 megabytes
input
stdin
output
stdout
Input

The input contains two integers a, b (1 ≤ a ≤ 10, 0 ≤ b ≤ 22·a - 1) separated by a single space.

Output

Output two integers separated by a single space.

Examples
Input
1 0
Output
0 0
Input
2 15
Output
3 0
Input
4 160
Output
12 12