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| 1 | +<p>We run a preorder depth-first search (DFS) on the <code>root</code> of a binary tree.</p> |
| 2 | + |
| 3 | +<p>At each node in this traversal, we output <code>D</code> dashes (where <code>D</code> is the depth of this node), then we output the value of this node. If the depth of a node is <code>D</code>, the depth of its immediate child is <code>D + 1</code>. The depth of the <code>root</code> node is <code>0</code>.</p> |
| 4 | + |
| 5 | +<p>If a node has only one child, that child is guaranteed to be <strong>the left child</strong>.</p> |
| 6 | + |
| 7 | +<p>Given the output <code>traversal</code> of this traversal, recover the tree and return <em>its</em> <code>root</code>.</p> |
| 8 | + |
| 9 | +<p> </p> |
| 10 | +<p><strong class="example">Example 1:</strong></p> |
| 11 | +<img alt="" src="https://assets.leetcode.com/uploads/2024/09/10/recover_tree_ex1.png" style="width: 423px; height: 200px;" /> |
| 12 | +<pre> |
| 13 | +<strong>Input:</strong> traversal = "1-2--3--4-5--6--7" |
| 14 | +<strong>Output:</strong> [1,2,5,3,4,6,7] |
| 15 | +</pre> |
| 16 | + |
| 17 | +<p><strong class="example">Example 2:</strong></p> |
| 18 | +<img alt="" src="https://assets.leetcode.com/uploads/2024/09/10/recover_tree_ex2.png" style="width: 432px; height: 250px;" /> |
| 19 | +<pre> |
| 20 | +<strong>Input:</strong> traversal = "1-2--3---4-5--6---7" |
| 21 | +<strong>Output:</strong> [1,2,5,3,null,6,null,4,null,7] |
| 22 | +</pre> |
| 23 | + |
| 24 | +<p><strong class="example">Example 3:</strong></p> |
| 25 | +<img alt="" src="https://assets.leetcode.com/uploads/2024/09/10/recover_tree_ex3.png" style="width: 305px; height: 250px;" /> |
| 26 | +<pre> |
| 27 | +<strong>Input:</strong> traversal = "1-401--349---90--88" |
| 28 | +<strong>Output:</strong> [1,401,null,349,88,90] |
| 29 | +</pre> |
| 30 | + |
| 31 | +<p> </p> |
| 32 | +<p><strong>Constraints:</strong></p> |
| 33 | + |
| 34 | +<ul> |
| 35 | + <li>The number of nodes in the original tree is in the range <code>[1, 1000]</code>.</li> |
| 36 | + <li><code>1 <= Node.val <= 10<sup>9</sup></code></li> |
| 37 | +</ul> |
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