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            "questionId": "2903",
            "questionFrontendId": "2807",
            "categoryTitle": "Algorithms",
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            "title": "Insert Greatest Common Divisors in Linked List",
            "titleSlug": "insert-greatest-common-divisors-in-linked-list",
            "content": "<p>Given the head of a linked list <code>head</code>, in which each node contains an integer value.</p>\n\n<p>Between every pair of adjacent nodes, insert a new node with a value equal to the <strong>greatest common divisor</strong> of them.</p>\n\n<p>Return <em>the linked list after insertion</em>.</p>\n\n<p>The <strong>greatest common divisor</strong> of two numbers is the largest positive integer that evenly divides both numbers.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/07/18/ex1_copy.png\" style=\"width: 641px; height: 181px;\" />\n<pre>\n<strong>Input:</strong> head = [18,6,10,3]\n<strong>Output:</strong> [18,6,6,2,10,1,3]\n<strong>Explanation:</strong> The 1<sup>st</sup> diagram denotes the initial linked list and the 2<sup>nd</sup> diagram denotes the linked list after inserting the new nodes (nodes in blue are the inserted nodes).\n- We insert the greatest common divisor of 18 and 6 = 6 between the 1<sup>st</sup> and the 2<sup>nd</sup> nodes.\n- We insert the greatest common divisor of 6 and 10 = 2 between the 2<sup>nd</sup> and the 3<sup>rd</sup> nodes.\n- We insert the greatest common divisor of 10 and 3 = 1 between the 3<sup>rd</sup> and the 4<sup>th</sup> nodes.\nThere are no more adjacent nodes, so we return the linked list.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/07/18/ex2_copy1.png\" style=\"width: 51px; height: 191px;\" />\n<pre>\n<strong>Input:</strong> head = [7]\n<strong>Output:</strong> [7]\n<strong>Explanation:</strong> The 1<sup>st</sup> diagram denotes the initial linked list and the 2<sup>nd</sup> diagram denotes the linked list after inserting the new nodes.\nThere are no pairs of adjacent nodes, so we return the initial linked list.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li>The number of nodes in the list is in the range <code>[1, 5000]</code>.</li>\n\t<li><code>1 &lt;= Node.val &lt;= 1000</code></li>\n</ul>\n",
            "translatedTitle": "在链表中插入最大公约数",
            "translatedContent": "<p>给你一个链表的头&nbsp;<code>head</code>&nbsp;，每个结点包含一个整数值。</p>\n\n<p>在相邻结点之间，请你插入一个新的结点，结点值为这两个相邻结点值的 <strong>最大公约数</strong>&nbsp;。</p>\n\n<p>请你返回插入之后的链表。</p>\n\n<p>两个数的 <strong>最大公约数</strong>&nbsp;是可以被两个数字整除的最大正整数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/07/18/ex1_copy.png\" style=\"width: 641px; height: 181px;\"></p>\n\n<pre><b>输入：</b>head = [18,6,10,3]\n<b>输出：</b>[18,6,6,2,10,1,3]\n<b>解释：</b>第一幅图是一开始的链表，第二幅图是插入新结点后的图（蓝色结点为新插入结点）。\n- 18 和 6 的最大公约数为 6 ，插入第一和第二个结点之间。\n- 6 和 10 的最大公约数为 2 ，插入第二和第三个结点之间。\n- 10 和 3 的最大公约数为 1 ，插入第三和第四个结点之间。\n所有相邻结点之间都插入完毕，返回链表。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2023/07/18/ex2_copy1.png\" style=\"width: 51px; height: 191px;\"></p>\n\n<pre><b>输入：</b>head = [7]\n<strong>输出：</strong>[7]\n<b>解释：</b>第一幅图是一开始的链表，第二幅图是插入新结点后的图（蓝色结点为新插入结点）。\n没有相邻结点，所以返回初始链表。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li>链表中结点数目在&nbsp;<code>[1, 5000]</code> 之间。</li>\n\t<li><code>1 &lt;= Node.val &lt;= 1000</code></li>\n</ul>\n",
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href=\\\"https:\\/\\/github.com\\/emirpasic\\/gods\\/tree\\/v1.18.1\\\" target=\\\"_blank\\\">https:\\/\\/godoc.org\\/github.com\\/emirpasic\\/gods@v1.18.1<\\/a> \\u7b2c\\u4e09\\u65b9\\u5e93\\u3002<\\/p>\"],\"python3\":[\"Python3\",\"<p>\\u7248\\u672c\\uff1a<code>Python 3.10<\\/code><\\/p>\\r\\n\\r\\n<p>\\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982<a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/array.html\\\" target=\\\"_blank\\\">array<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/bisect.html\\\" target=\\\"_blank\\\">bisect<\\/a>, <a href=\\\"https:\\/\\/docs.python.org\\/3\\/library\\/collections.html\\\" target=\\\"_blank\\\">collections<\\/a>\\u3002 \\u5982\\u679c\\u60a8\\u9700\\u8981\\u4f7f\\u7528\\u5176\\u4ed6\\u5e93\\u51fd\\u6570\\uff0c\\u8bf7\\u81ea\\u884c\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n<p>\\u5982\\u9700\\u4f7f\\u7528 Map\\/TreeMap 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