leetcode-problemset/leetcode-cn/originData/decode-xored-permutation.json

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        "question": {
            "questionId": "1835",
            "questionFrontendId": "1734",
            "categoryTitle": "Algorithms",
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            "title": "Decode XORed Permutation",
            "titleSlug": "decode-xored-permutation",
            "content": "<p>There is an integer array <code>perm</code> that is a permutation of the first <code>n</code> positive integers, where <code>n</code> is always <strong>odd</strong>.</p>\n\n<p>It was encoded into another integer array <code>encoded</code> of length <code>n - 1</code>, such that <code>encoded[i] = perm[i] XOR perm[i + 1]</code>. For example, if <code>perm = [1,3,2]</code>, then <code>encoded = [2,1]</code>.</p>\n\n<p>Given the <code>encoded</code> array, return <em>the original array</em> <code>perm</code>. It is guaranteed that the answer exists and is unique.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> encoded = [3,1]\n<strong>Output:</strong> [1,2,3]\n<strong>Explanation:</strong> If perm = [1,2,3], then encoded = [1 XOR 2,2 XOR 3] = [3,1]\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> encoded = [6,5,4,6]\n<strong>Output:</strong> [2,4,1,5,3]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= n &lt;&nbsp;10<sup>5</sup></code></li>\n\t<li><code>n</code>&nbsp;is odd.</li>\n\t<li><code>encoded.length == n - 1</code></li>\n</ul>\n",
            "translatedTitle": "解码异或后的排列",
            "translatedContent": "<p>给你一个整数数组 <code>perm</code> ，它是前 <code>n</code> 个正整数的排列，且 <code>n</code> 是个 <strong>奇数</strong> 。</p>\n\n<p>它被加密成另一个长度为 <code>n - 1</code> 的整数数组 <code>encoded</code> ，满足 <code>encoded[i] = perm[i] XOR perm[i + 1]</code> 。比方说，如果 <code>perm = [1,3,2]</code> ，那么 <code>encoded = [2,1]</code> 。</p>\n\n<p>给你 <code>encoded</code> 数组，请你返回原始数组 <code>perm</code> 。题目保证答案存在且唯一。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><b>输入：</b>encoded = [3,1]\n<b>输出：</b>[1,2,3]\n<b>解释：</b>如果 perm = [1,2,3] ，那么 encoded = [1 XOR 2,2 XOR 3] = [3,1]\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>encoded = [6,5,4,6]\n<b>输出：</b>[2,4,1,5,3]\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= n &lt; 10<sup>5</sup></code></li>\n\t<li><code>n</code> 是奇数。</li>\n\t<li><code>encoded.length == n - 1</code></li>\n</ul>\n",
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            "hints": [
                "Compute the XOR of the numbers between 1 and n, and think about how it can be used. Let it be x.",
                "Think why n is odd.",
                "perm[0] = x XOR encoded[1] XOR encoded[3] XOR encoded[5] ...",
                "perm[i] = perm[i-1] XOR encoded[i-1]"
            ],
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