leetcode-problemset/leetcode-cn/originData/count-number-of-maximum-bitwise-or-subsets.json

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            "categoryTitle": "Algorithms",
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            "title": "Count Number of Maximum Bitwise-OR Subsets",
            "titleSlug": "count-number-of-maximum-bitwise-or-subsets",
            "content": "<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>\n\n<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>\n\n<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>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,1]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The maximum possible bitwise OR of a subset is 3. There are 2 subsets with a bitwise OR of 3:\n- [3]\n- [3,1]\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,2,2]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> All non-empty subsets of [2,2,2] have a bitwise OR of 2. There are 2<sup>3</sup> - 1 = 7 total subsets.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,2,1,5]\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> The maximum possible bitwise OR of a subset is 7. There are 6 subsets with a bitwise OR of 7:\n- [3,5]\n- [3,1,5]\n- [3,2,5]\n- [3,2,1,5]\n- [2,5]\n- [2,1,5]</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 16</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "统计按位或能得到最大值的子集数目",
            "translatedContent": "<p>给你一个整数数组 <code>nums</code> ，请你找出 <code>nums</code> 子集 <strong>按位或</strong> 可能得到的<strong> </strong><strong>最大值</strong> ，并返回按位或能得到最大值的 <strong>不同非空子集的数目</strong> 。</p>\n\n<p>如果数组 <code>a</code> 可以由数组 <code>b</code> 删除一些元素（或不删除）得到，则认为数组 <code>a</code> 是数组 <code>b</code> 的一个 <strong>子集</strong> 。如果选中的元素下标位置不一样，则认为两个子集 <strong>不同</strong> 。</p>\n\n<p>对数组 <code>a</code> 执行 <strong>按位或</strong>&nbsp;，结果等于 <code>a[0] <strong>OR</strong> a[1] <strong>OR</strong> ... <strong>OR</strong> a[a.length - 1]</code>（下标从 <strong>0</strong> 开始）。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [3,1]\n<strong>输出：</strong>2\n<strong>解释：</strong>子集按位或能得到的最大值是 3 。有 2 个子集按位或可以得到 3 ：\n- [3]\n- [3,1]\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [2,2,2]\n<strong>输出：</strong>7\n<strong>解释：</strong>[2,2,2] 的所有非空子集的按位或都可以得到 2 。总共有 2<sup>3</sup> - 1 = 7 个子集。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [3,2,1,5]\n<strong>输出：</strong>6\n<strong>解释：</strong>子集按位或可能的最大值是 7 。有 6 个子集按位或可以得到 7 ：\n- [3,5]\n- [3,1,5]\n- [3,2,5]\n- [3,2,1,5]\n- [2,5]\n- [2,1,5]</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 16</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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