leetcode-problemset/leetcode-cn/originData/check-if-bitwise-or-has-trailing-zeros.json

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        "question": {
            "questionId": "3246",
            "questionFrontendId": "2980",
            "categoryTitle": "Algorithms",
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            "title": "Check if Bitwise OR Has Trailing Zeros",
            "titleSlug": "check-if-bitwise-or-has-trailing-zeros",
            "content": "<p>You are given an array of <strong>positive</strong> integers <code>nums</code>.</p>\n\n<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>\n\n<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>\n\n<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>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4,5]\n<strong>Output:</strong> true\n<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.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,4,8,16]\n<strong>Output:</strong> true\n<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.\nOther 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).\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,3,5,7,9]\n<strong>Output:</strong> false\n<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.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 100</code></li>\n</ul>\n",
            "translatedTitle": "检查按位或是否存在尾随零",
            "translatedContent": "<p>给你一个<strong> 正整数 </strong>数组 <code>nums</code> 。</p>\n\n<p>你需要检查是否可以从数组中选出 <strong>两个或更多 </strong>元素，满足这些元素的按位或运算（ <code>OR</code>）结果的二进制表示中 <strong>至少</strong><strong> </strong>存在一个尾随零。</p>\n\n<p>例如，数字 <code>5</code> 的二进制表示是 <code>\"101\"</code>，不存在尾随零，而数字 <code>4</code> 的二进制表示是 <code>\"100\"</code>，存在两个尾随零。</p>\n\n<p>如果可以选择两个或更多元素，其按位或运算结果存在尾随零，返回 <code>true</code>；否则，返回<em> </em><code>false</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [1,2,3,4,5]\n<strong>输出：</strong>true\n<strong>解释：</strong>如果选择元素 2 和 4，按位或运算结果是 6，二进制表示为 \"110\" ，存在一个尾随零。\n</pre>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [2,4,8,16]\n<strong>输出：</strong>true\n<strong>解释：</strong>如果选择元素 2 和 4，按位或运算结果是 6，二进制表示为 \"110\"，存在一个尾随零。\n其他按位或运算结果存在尾随零的可能选择方案包括：(2, 8), (2, 16), (4, 8), (4, 16), (8, 16), (2, 4, 8), (2, 4, 16), (2, 8, 16), (4, 8, 16), 以及 (2, 4, 8, 16) 。\n</pre>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [1,3,5,7,9]\n<strong>输出：</strong>false\n<strong>解释：</strong>不存在按位或运算结果存在尾随零的选择方案。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 100</code></li>\n</ul>\n",
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            "hints": [
                "Bitwise <code>OR</code> can never unset a bit. If there is a solution, there must be a solution with only a pair of elements.",
                "We can brute force the solution: enumerate all the pairs.",
                "As the least significant bit must stay unset, the question is whether the array has at least two even elements."
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