mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-11 02:58:13 +08:00
183 lines
21 KiB
JSON
183 lines
21 KiB
JSON
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"categoryTitle": "Algorithms",
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"boundTopicId": 2116467,
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"title": "Minimum Impossible OR",
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"content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code>.</p>\n\n<p>We say that an integer x is <strong>expressible</strong> from <code>nums</code> if there exist some integers <code>0 <= index<sub>1</sub> < index<sub>2</sub> < ... < index<sub>k</sub> < nums.length</code> for which <code>nums[index<sub>1</sub>] | nums[index<sub>2</sub>] | ... | nums[index<sub>k</sub>] = x</code>. In other words, an integer is expressible if it can be written as the bitwise OR of some subsequence of <code>nums</code>.</p>\n\n<p>Return <em>the minimum <strong>positive non-zero integer</strong> that is not </em><em>expressible from </em><code>nums</code>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,1]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> 1 and 2 are already present in the array. We know that 3 is expressible, since nums[0] | nums[1] = 2 | 1 = 3. Since 4 is not expressible, we return 4.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [5,3,2]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> We can show that 1 is the smallest number that is not expressible.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>\n</ul>\n",
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"translatedTitle": "最小无法得到的或值",
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"translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始的整数数组 <code>nums</code> 。</p>\n\n<p>如果存在一些整数满足 <code>0 <= index<sub>1</sub> < index<sub>2</sub> < ... < index<sub>k</sub> < nums.length</code> ,得到 <code>nums[index<sub>1</sub>] | nums[index<sub>2</sub>] | ... | nums[index<sub>k</sub>] = x</code> ,那么我们说 <code>x</code> 是 <strong>可表达的</strong> 。换言之,如果一个整数能由 <code>nums</code> 的某个子序列的或运算得到,那么它就是可表达的。</p>\n\n<p>请你返回 <code>nums</code> 不可表达的 <strong>最小非零整数</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre><b>输入:</b>nums = [2,1]\n<b>输出:</b>4\n<b>解释:</b>1 和 2 已经在数组中,因为 nums[0] | nums[1] = 2 | 1 = 3 ,所以 3 是可表达的。由于 4 是不可表达的,所以我们返回 4 。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre><b>输入:</b>nums = [5,3,2]\n<b>输出:</b>1\n<b>解释:</b>1 是最小不可表达的数字。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= nums.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>\n</ul>\n",
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"Think about forming numbers in the powers of 2 using their bit representation.",
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"The minimum power of 2 not present in the array will be the first number that could not be expressed using the given operation."
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