leetcode-problemset/leetcode-cn/originData/find-the-original-array-of-prefix-xor.json

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        "question": {
            "questionId": "2519",
            "questionFrontendId": "2433",
            "categoryTitle": "Algorithms",
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            "title": "Find The Original Array of Prefix Xor",
            "titleSlug": "find-the-original-array-of-prefix-xor",
            "content": "<p>You are given an <strong>integer</strong> array <code>pref</code> of size <code>n</code>. Find and return <em>the array </em><code>arr</code><em> of size </em><code>n</code><em> that satisfies</em>:</p>\n\n<ul>\n\t<li><code>pref[i] = arr[0] ^ arr[1] ^ ... ^ arr[i]</code>.</li>\n</ul>\n\n<p>Note that <code>^</code> denotes the <strong>bitwise-xor</strong> operation.</p>\n\n<p>It can be proven that the answer is <strong>unique</strong>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> pref = [5,2,0,3,1]\n<strong>Output:</strong> [5,7,2,3,2]\n<strong>Explanation:</strong> From the array [5,7,2,3,2] we have the following:\n- pref[0] = 5.\n- pref[1] = 5 ^ 7 = 2.\n- pref[2] = 5 ^ 7 ^ 2 = 0.\n- pref[3] = 5 ^ 7 ^ 2 ^ 3 = 3.\n- pref[4] = 5 ^ 7 ^ 2 ^ 3 ^ 2 = 1.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> pref = [13]\n<strong>Output:</strong> [13]\n<strong>Explanation:</strong> We have pref[0] = arr[0] = 13.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= pref.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= pref[i] &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
            "translatedTitle": "找出前缀异或的原始数组",
            "translatedContent": "<p>给你一个长度为 <code>n</code> 的 <strong>整数</strong> 数组 <code>pref</code> 。找出并返回满足下述条件且长度为 <code>n</code> 的数组<em> </em><code>arr</code> ：</p>\n\n<ul>\n\t<li><code>pref[i] = arr[0] ^ arr[1] ^ ... ^ arr[i]</code>.</li>\n</ul>\n\n<p>注意 <code>^</code> 表示 <strong>按位异或</strong>（bitwise-xor）运算。</p>\n\n<p>可以证明答案是 <strong>唯一</strong> 的。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>pref = [5,2,0,3,1]\n<strong>输出：</strong>[5,7,2,3,2]\n<strong>解释：</strong>从数组 [5,7,2,3,2] 可以得到如下结果：\n- pref[0] = 5\n- pref[1] = 5 ^ 7 = 2\n- pref[2] = 5 ^ 7 ^ 2 = 0\n- pref[3] = 5 ^ 7 ^ 2 ^ 3 = 3\n- pref[4] = 5 ^ 7 ^ 2 ^ 3 ^ 2 = 1\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>pref = [13]\n<strong>输出：</strong>[13]\n<strong>解释：</strong>pref[0] = arr[0] = 13\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= pref.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= pref[i] &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
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                "Consider the following equation: x ^ a = b. How can you find x?",
                "Notice that arr[i] ^ pref[i-1] = pref[i]. This is the same as the previous equation."
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