leetcode-problemset/leetcode/originData/largest-combination-with-bitwise-and-greater-than-zero.json

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            "title": "Largest Combination With Bitwise AND Greater Than Zero",
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            "content": "<p>The <strong>bitwise AND</strong> of an array <code>nums</code> is the bitwise AND of all integers in <code>nums</code>.</p>\n\n<ul>\n\t<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>\n\t<li>Also, for <code>nums = [7]</code>, the bitwise AND is <code>7</code>.</li>\n</ul>\n\n<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>\n\n<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>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> candidates = [16,17,71,62,12,24,14]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The combination [16,17,62,24] has a bitwise AND of 16 &amp; 17 &amp; 62 &amp; 24 = 16 &gt; 0.\nThe size of the combination is 4.\nIt can be shown that no combination with a size greater than 4 has a bitwise AND greater than 0.\nNote that more than one combination may have the largest size.\nFor example, the combination [62,12,24,14] has a bitwise AND of 62 &amp; 12 &amp; 24 &amp; 14 = 8 &gt; 0.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> candidates = [8,8]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The largest combination [8,8] has a bitwise AND of 8 &amp; 8 = 8 &gt; 0.\nThe size of the combination is 2, so we return 2.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= candidates.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= candidates[i] &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
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            "hints": [
                "For the bitwise AND to be greater than zero, at least one bit should be 1 for every number in the combination.",
                "The candidates are 24 bits long, so for every bit position, we can calculate the size of the largest combination such that the bitwise AND will have a 1 at that bit position."
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