leetcode-problemset/leetcode-cn/originData/minimum-cost-tree-from-leaf-values.json

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            "title": "Minimum Cost Tree From Leaf Values",
            "titleSlug": "minimum-cost-tree-from-leaf-values",
            "content": "<p>Given an array <code>arr</code> of positive integers, consider all binary trees such that:</p>\n\n<ul>\n\t<li>Each node has either <code>0</code> or <code>2</code> children;</li>\n\t<li>The values of <code>arr</code> correspond to the values of each <strong>leaf</strong> in an in-order traversal of the tree.</li>\n\t<li>The value of each non-leaf node is equal to the product of the largest leaf value in its left and right subtree, respectively.</li>\n</ul>\n\n<p>Among all possible binary trees considered, return <em>the smallest possible sum of the values of each non-leaf node</em>. It is guaranteed this sum fits into a <strong>32-bit</strong> integer.</p>\n\n<p>A node is a <strong>leaf</strong> if and only if it has zero children.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/10/tree1.jpg\" style=\"width: 500px; height: 169px;\" />\n<pre>\n<strong>Input:</strong> arr = [6,2,4]\n<strong>Output:</strong> 32\n<strong>Explanation:</strong> There are two possible trees shown.\nThe first has a non-leaf node sum 36, and the second has non-leaf node sum 32.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/10/tree2.jpg\" style=\"width: 224px; height: 145px;\" />\n<pre>\n<strong>Input:</strong> arr = [4,11]\n<strong>Output:</strong> 44\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= arr.length &lt;= 40</code></li>\n\t<li><code>1 &lt;= arr[i] &lt;= 15</code></li>\n\t<li>It is guaranteed that the answer fits into a <strong>32-bit</strong> signed integer (i.e., it is less than 2<sup>31</sup>).</li>\n</ul>\n",
            "translatedTitle": "叶值的最小代价生成树",
            "translatedContent": "<p>给你一个正整数数组&nbsp;<code>arr</code>，考虑所有满足以下条件的二叉树：</p>\n\n<ul>\n\t<li>每个节点都有 <code>0</code> 个或是 <code>2</code> 个子节点。</li>\n\t<li>数组&nbsp;<code>arr</code>&nbsp;中的值与树的中序遍历中每个叶节点的值一一对应。</li>\n\t<li>每个非叶节点的值等于其左子树和右子树中叶节点的最大值的乘积。</li>\n</ul>\n\n<p>在所有这样的二叉树中，返回每个非叶节点的值的最小可能总和。这个和的值是一个&nbsp;32 位整数。</p>\n\n<p>如果一个节点有 0 个子节点，那么该节点为叶节点。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/10/tree1.jpg\" style=\"width: 500px; height: 169px;\" />\n<pre>\n<strong>输入：</strong>arr = [6,2,4]\n<strong>输出：</strong>32\n<strong>解释：</strong>有两种可能的树，第一种的非叶节点的总和为 36 ，第二种非叶节点的总和为 32 。 \n</pre>\n\n<p><strong>示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/08/10/tree2.jpg\" style=\"width: 224px; height: 145px;\" />\n<pre>\n<strong>输入：</strong>arr = [4,11]\n<strong>输出：</strong>44\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= arr.length &lt;= 40</code></li>\n\t<li><code>1 &lt;= arr[i] &lt;= 15</code></li>\n\t<li>答案保证是一个 32 位带符号整数，即小于&nbsp;<code>2<sup>31</sup></code> 。</li>\n</ul>\n",
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