leetcode-problemset/leetcode/problem/check-if-bitwise-or-has-trailing-zeros.html

<p>You are given an array of <strong>positive</strong> integers <code>nums</code>.</p>

<p>You have to check if it is possible to select <strong>two or more</strong> elements in the array such that the bitwise <code>OR</code> of the selected elements has <strong>at least </strong>one trailing zero in its binary representation.</p>

<p>For example, the binary representation of <code>5</code>, which is <code>&quot;101&quot;</code>, does not have any trailing zeros, whereas the binary representation of <code>4</code>, which is <code>&quot;100&quot;</code>, has two trailing zeros.</p>

<p>Return <code>true</code> <em>if it is possible to select two or more elements whose bitwise</em> <code>OR</code> <em>has trailing zeros, return</em> <code>false</code> <em>otherwise</em>.</p>

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

<pre>
<strong>Input:</strong> nums = [1,2,3,4,5]
<strong>Output:</strong> true
<strong>Explanation:</strong> If we select the elements 2 and 4, their bitwise OR is 6, which has the binary representation &quot;110&quot; with one trailing zero.
</pre>

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

<pre>
<strong>Input:</strong> nums = [2,4,8,16]
<strong>Output:</strong> true
<strong>Explanation: </strong>If we select the elements 2 and 4, their bitwise OR is 6, which has the binary representation &quot;110&quot; with one trailing zero.
Other possible ways to select elements to have trailing zeroes in the binary representation of their bitwise OR are: (2, 8), (2, 16), (4, 8), (4, 16), (8, 16), (2, 4, 8), (2, 4, 16), (2, 8, 16), (4, 8, 16), and (2, 4, 8, 16).
</pre>

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

<pre>
<strong>Input:</strong> nums = [1,3,5,7,9]
<strong>Output:</strong> false
<strong>Explanation:</strong> There is no possible way to select two or more elements to have trailing zeros in the binary representation of their bitwise OR.
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>2 &lt;= nums.length &lt;= 100</code></li>
	<li><code>1 &lt;= nums[i] &lt;= 100</code></li>
</ul>