<h2><a href="https://leetcode.com/problems/count-number-of-maximum-bitwise-or-subsets/">2044. Count Number of Maximum Bitwise-OR Subsets</a></h2><h3>Medium</h3><hr><div><p>Given an integer array <code>nums</code>, find the <strong>maximum</strong> possible <strong>bitwise OR</strong> of a subset of <code>nums</code> and return <em>the <strong>number of different non-empty subsets</strong> with the maximum bitwise OR</em>.</p>

<p>An array <code>a</code> is a <strong>subset</strong> of an array <code>b</code> if <code>a</code> can be obtained from <code>b</code> by deleting some (possibly zero) elements of <code>b</code>. Two subsets are considered <strong>different</strong> if the indices of the elements chosen are different.</p>

<p>The bitwise OR of an array <code>a</code> is equal to <code>a[0] <strong>OR</strong> a[1] <strong>OR</strong> ... <strong>OR</strong> a[a.length - 1]</code> (<strong>0-indexed</strong>).</p>

<p>&nbsp;</p>

<p><strong class="example">Example 1:</strong></p>

<pre><strong>Input:</strong> nums = [3,1]

<strong>Output:</strong> 2

<strong>Explanation:</strong> The maximum possible bitwise OR of a subset is 3. There are 2 subsets with a bitwise OR of 3:

- [3]

- [3,1]

</pre>

<p><strong class="example">Example 2:</strong></p>

<pre><strong>Input:</strong> nums = [2,2,2]

<strong>Output:</strong> 7

<strong>Explanation:</strong> All non-empty subsets of [2,2,2] have a bitwise OR of 2. There are 2³ - 1 = 7 total subsets.

</pre>

<p><strong class="example">Example 3:</strong></p>

<pre><strong>Input:</strong> nums = [3,2,1,5]

<strong>Output:</strong> 6

<strong>Explanation:</strong> The maximum possible bitwise OR of a subset is 7. There are 6 subsets with a bitwise OR of 7:

- [3,5]

- [3,1,5]

- [3,2,5]

- [3,2,1,5]

- [2,5]

- [2,1,5]</pre>

<p>&nbsp;</p>

<p><strong>Constraints:</strong></p>

<ul>

<li><code>1 &lt;= nums.length &lt;= 16</code></li>

<li><code>1 &lt;= nums[i] &lt;= 10⁵</code></li>

</ul>

</div>