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leetcode-problemset/leetcode-cn/problem (Chinese)/分裂二叉树的最大乘积 [maximum-product-of-splitted-binary-tree].html
2022-03-29 12:43:11 +08:00

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<p>给你一棵二叉树,它的根为&nbsp;<code>root</code> 。请你删除 1 条边,使二叉树分裂成两棵子树,且它们子树和的乘积尽可能大。</p>
<p>由于答案可能会很大,请你将结果对 10^9 + 7 取模后再返回。</p>
<p>&nbsp;</p>
<p><strong>示例 1</strong></p>
<p><strong><img alt="" src="https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/02/02/sample_1_1699.png" style="height: 200px; width: 495px;"></strong></p>
<pre><strong>输入:</strong>root = [1,2,3,4,5,6]
<strong>输出:</strong>110
<strong>解释:</strong>删除红色的边,得到 2 棵子树,和分别为 11 和 10 。它们的乘积是 110 11*10
</pre>
<p><strong>示例 2</strong></p>
<p><img alt="" src="https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/02/02/sample_2_1699.png" style="height: 200px; width: 495px;"></p>
<pre><strong>输入:</strong>root = [1,null,2,3,4,null,null,5,6]
<strong>输出:</strong>90
<strong>解释:</strong>移除红色的边,得到 2 棵子树,和分别是 15 和 6 。它们的乘积为 90 15*6
</pre>
<p><strong>示例 3</strong></p>
<pre><strong>输入:</strong>root = [2,3,9,10,7,8,6,5,4,11,1]
<strong>输出:</strong>1025
</pre>
<p><strong>示例 4</strong></p>
<pre><strong>输入:</strong>root = [1,1]
<strong>输出:</strong>1
</pre>
<p>&nbsp;</p>
<p><strong>提示:</strong></p>
<ul>
<li>每棵树最多有&nbsp;<code>50000</code>&nbsp;个节点,且至少有&nbsp;<code>2</code>&nbsp;个节点。</li>
<li>每个节点的值在&nbsp;<code>[1, 10000]</code>&nbsp;之间。</li>
</ul>