13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T6fa,

You are given a set of size $$$m$$$ with integer elements between $$$0$$$ and $$$2^{n}-1$$$ inclusive. Let's build an undirected graph on these integers in the following way: connect two integers $$$x$$$ and $$$y$$$ with an edge if and only if $$$x \& y = 0$$$. Here $$$\&$$$ is the bitwise AND operation. Count the number of connected components in that graph.

Input

In the first line of input there are two integers $$$n$$$ and $$$m$$$ ($$$0 \le n \le 22$$$, $$$1 \le m \le 2^{n}$$$).

In the second line there are $$$m$$$ integers $$$a_1, a_2, \ldots, a_m$$$ ($$$0 \le a_{i} \lt 2^{n}$$$) — the elements of the set. All $$$a_{i}$$$ are distinct.

Output

Print the number of connected components.

Note

Graph from first sample:

AND Graph

Examples