3034: Random Task
[Creator : ]
Description
time limit per test
1 secondmemory limit per test
256 megabytesinput
standard inputoutput
standard outputOne day, after a difficult lecture a diligent student Sasha saw a graffitied desk in the classroom. She came closer and read: "Find such positive integer n, that among numbers n+1, n+2, ..., 2·n there are exactly m numbers which binary representation contains exactly k digits one".
The girl got interested in the task and she asked you to help her solve it. Sasha knows that you are afraid of large numbers, so she guaranteed that there is an answer that doesn't exceed 1018.
Input
The first line contains two space-separated integers, m and k (0≤m≤1018; 1≤k≤64).
Output
Print the required number n (1≤n≤1018). If there are multiple answers, print any of them.
Examples
Input
1 1
Output
1
Input
3 2
Output
5