write a go solution for Description:
You are given an array a consisting of n distinct positive integers.

Let's consider an infinite integer set S which contains all integers x that satisfy at least one of the following conditions:

1. x=a_i for some 1<=i<=n.
2. x=2y+1 and y is in S.
3. x=4y and y is in S.

For example, if a=[1,2] then the 10 smallest elements in S will be 1,2,3,4,5,7,8,9,11,12.

Find the number of elements in S that are strictly smaller than 2^p. Since this number may be too large, print it modulo 10^9+7.

Input Format:
The first line contains two integers n and p (1<=n,p<=2*10^5).

The second line contains n integers a_1,a_2,ldots,a_n (1<=a_i<=10^9).

It is guaranteed that all the numbers in a are distinct.

Output Format:
Print a single integer, the number of elements in S that are strictly smaller than 2^p. Remember to print it modulo 10^9+7.

Note:
In the first example, the elements smaller than 2^4 are 1,3,4,6,7,9,12,13,15.

In the second example, the elements smaller than 2^7 are 5,11,20,23,39,41,44,47,79,80,83,89,92,95.. Output only the code with no comments, explanation, or additional text.