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"question": {
"questionId": "3824",
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"categoryTitle": "Algorithms",
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"title": "Number of Unique XOR Triplets I",
"titleSlug": "number-of-unique-xor-triplets-i",
"content": "<p>You are given an integer array <code>nums</code> of length <code>n</code>, where <code>nums</code> is a <strong><span data-keyword=\"permutation\">permutation</span></strong> of the numbers in the range <code>[1, n]</code>.</p>\n\n<p>A <strong>XOR triplet</strong> is defined as the XOR of three elements <code>nums[i] XOR nums[j] XOR nums[k]</code> where <code>i &lt;= j &lt;= k</code>.</p>\n\n<p>Return the number of <strong>unique</strong> XOR triplet values from all possible triplets <code>(i, j, k)</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [1,2]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The possible XOR triplet values are:</p>\n\n<ul>\n\t<li><code>(0, 0, 0) &rarr; 1 XOR 1 XOR 1 = 1</code></li>\n\t<li><code>(0, 0, 1) &rarr; 1 XOR 1 XOR 2 = 2</code></li>\n\t<li><code>(0, 1, 1) &rarr; 1 XOR 2 XOR 2 = 1</code></li>\n\t<li><code>(1, 1, 1) &rarr; 2 XOR 2 XOR 2 = 2</code></li>\n</ul>\n\n<p>The unique XOR values are <code>{1, 2}</code>, so the output is 2.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">nums = [3,1,2]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The possible XOR triplet values include:</p>\n\n<ul>\n\t<li><code>(0, 0, 0) &rarr; 3 XOR 3 XOR 3 = 3</code></li>\n\t<li><code>(0, 0, 1) &rarr; 3 XOR 3 XOR 1 = 1</code></li>\n\t<li><code>(0, 0, 2) &rarr; 3 XOR 3 XOR 2 = 2</code></li>\n\t<li><code>(0, 1, 2) &rarr; 3 XOR 1 XOR 2 = 0</code></li>\n</ul>\n\n<p>The unique XOR values are <code>{0, 1, 2, 3}</code>, so the output is 4.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= n</code></li>\n\t<li><code>nums</code> is a permutation of integers from <code>1</code> to <code>n</code>.</li>\n</ul>\n",
"translatedTitle": "不同 XOR 三元组的数目 I",
"translatedContent": "<p>给你一个长度为 <code>n</code> 的整数数组 <code>nums</code>,其中 <code>nums</code> 是范围 <code>[1, n]</code> 内所有数的&nbsp;<strong>排列&nbsp;</strong>。</p>\n\n<p><strong>XOR 三元组</strong> 定义为三个元素的异或值 <code>nums[i] XOR nums[j] XOR nums[k]</code>,其中 <code>i &lt;= j &lt;= k</code>。</p>\n\n<p>返回所有可能三元组 <code>(i, j, k)</code> 中&nbsp;<strong>不同&nbsp;</strong>的 XOR 值的数量。</p>\n\n<p><strong>排列</strong> 是一个集合中所有元素的重新排列。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">nums = [1,2]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>所有可能的 XOR 三元组值为:</p>\n\n<ul>\n\t<li><code>(0, 0, 0) → 1 XOR 1 XOR 1 = 1</code></li>\n\t<li><code>(0, 0, 1) → 1 XOR 1 XOR 2 = 2</code></li>\n\t<li><code>(0, 1, 1) → 1 XOR 2 XOR 2 = 1</code></li>\n\t<li><code>(1, 1, 1) → 2 XOR 2 XOR 2 = 2</code></li>\n</ul>\n\n<p>不同的 XOR 值为 <code>{1, 2}</code>,因此输出为 2。</p>\n</div>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">nums = [3,1,2]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>可能的 XOR 三元组值包括:</p>\n\n<ul>\n\t<li><code>(0, 0, 0) → 3 XOR 3 XOR 3 = 3</code></li>\n\t<li><code>(0, 0, 1) → 3 XOR 3 XOR 1 = 1</code></li>\n\t<li><code>(0, 0, 2) → 3 XOR 3 XOR 2 = 2</code></li>\n\t<li><code>(0, 1, 2) → 3 XOR 1 XOR 2 = 0</code></li>\n</ul>\n\n<p>不同的 XOR 值为 <code>{0, 1, 2, 3}</code>,因此输出为 4。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n == nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= n</code></li>\n\t<li><code>nums</code> 是从 <code>1</code> 到 <code>n</code> 的整数的一个排列。</li>\n</ul>\n",
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