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Author: jimit105

2356-largest-combination-with-bitwise-and-greater-than-zero/README.md

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+<p>The <strong>bitwise AND</strong> of an array <code>nums</code> is the bitwise AND of all integers in <code>nums</code>.</p>
+
+<ul>
+	<li>For example, for <code>nums = [1, 5, 3]</code>, the bitwise AND is equal to <code>1 &amp; 5 &amp; 3 = 1</code>.</li>
+	<li>Also, for <code>nums = [7]</code>, the bitwise AND is <code>7</code>.</li>
+</ul>
+
+<p>You are given an array of positive integers <code>candidates</code>. Evaluate the <strong>bitwise AND</strong> of every <strong>combination</strong> of numbers of <code>candidates</code>. Each number in <code>candidates</code> may only be used <strong>once</strong> in each combination.</p>
+
+<p>Return <em>the size of the <strong>largest</strong> combination of </em><code>candidates</code><em> with a bitwise AND <strong>greater</strong> than </em><code>0</code>.</p>
+
+<p>&nbsp;</p>
+<p><strong class="example">Example 1:</strong></p>
+
+<pre>
+<strong>Input:</strong> candidates = [16,17,71,62,12,24,14]
+<strong>Output:</strong> 4
+<strong>Explanation:</strong> The combination [16,17,62,24] has a bitwise AND of 16 &amp; 17 &amp; 62 &amp; 24 = 16 &gt; 0.
+The size of the combination is 4.
+It can be shown that no combination with a size greater than 4 has a bitwise AND greater than 0.
+Note that more than one combination may have the largest size.
+For example, the combination [62,12,24,14] has a bitwise AND of 62 &amp; 12 &amp; 24 &amp; 14 = 8 &gt; 0.
+</pre>
+
+<p><strong class="example">Example 2:</strong></p>
+
+<pre>
+<strong>Input:</strong> candidates = [8,8]
+<strong>Output:</strong> 2
+<strong>Explanation:</strong> The largest combination [8,8] has a bitwise AND of 8 &amp; 8 = 8 &gt; 0.
+The size of the combination is 2, so we return 2.
+</pre>
+
+<p>&nbsp;</p>
+<p><strong>Constraints:</strong></p>
+
+<ul>
+	<li><code>1 &lt;= candidates.length &lt;= 10<sup>5</sup></code></li>
+	<li><code>1 &lt;= candidates[i] &lt;= 10<sup>7</sup></code></li>
+</ul>

2356-largest-combination-with-bitwise-and-greater-than-zero/solution.py

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+# Approach 1: Using a Bit Count Array
+
+# Time: O(n)
+# Space: O(1)
+
+class Solution:
+    def largestCombination(self, candidates: List[int]) -> int:
+        bit_count = [0] * 24
+
+        for i in range(24):
+            for num in candidates:
+                # check if the i-th bit is set
+                if (num & (1 << i)) != 0:
+                    bit_count[i] += 1
+
+        return max(bit_count)
+