Random Task

题意： 求满足n+1~2n之间恰有m个数二进制表示中有k个1的n，输出任意一个解即可。

One 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 $ 10^{18} $ .

The first line contains two space-separated integers, $ m $ and $ k $ ( $ 0<=m<=10^{18} $ ; $ 1<=k<=64 $ ).

Print the required number $ n $ ( $ 1<=n<=10^{18} $ ). If there are multiple answers, print any of them.

1 1

1

3 2

5