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leetcode-problemset/算法题/convert-sorted-array-to-binary-search-tree.html
2022-03-27 18:35:17 +08:00

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<p>Given an integer array <code>nums</code> where the elements are sorted in <strong>ascending order</strong>, convert <em>it to a <strong>height-balanced</strong> binary search tree</em>.</p>
<p>A <strong>height-balanced</strong> binary tree is a binary tree in which the depth of the two subtrees of every node never differs by more than one.</p>
<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/02/18/btree1.jpg" style="width: 302px; height: 222px;" />
<pre>
<strong>Input:</strong> nums = [-10,-3,0,5,9]
<strong>Output:</strong> [0,-3,9,-10,null,5]
<strong>Explanation:</strong> [0,-10,5,null,-3,null,9] is also accepted:
<img alt="" src="https://assets.leetcode.com/uploads/2021/02/18/btree2.jpg" style="width: 302px; height: 222px;" />
</pre>
<p><strong>Example 2:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/02/18/btree.jpg" style="width: 342px; height: 142px;" />
<pre>
<strong>Input:</strong> nums = [1,3]
<strong>Output:</strong> [3,1]
<strong>Explanation:</strong> [1,null,3] and [3,1] are both height-balanced BSTs.
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 &lt;= nums.length &lt;= 10<sup>4</sup></code></li>
<li><code>-10<sup>4</sup> &lt;= nums[i] &lt;= 10<sup>4</sup></code></li>
<li><code>nums</code> is sorted in a <strong>strictly increasing</strong> order.</li>
</ul>