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1028.recover-a-tree-from-preorder-traversal

We run a preorder depth first search on the root of a binary tree.

At each node in this traversal, we output D dashes (where D is the depth of this node), then we output the value of this node. (If the depth of a node is D, the depth of its immediate child is D+1. The depth of the root node is 0.)

If a node has only one child, that child is guaranteed to be the left child.

Given the output S of this traversal, recover the tree and return its root.

Example 1:

1

Input: "1-2--3--4-5--6--7"
Output: [1,2,5,3,4,6,7]

Example 2:

2

Input: "1-2--3---4-5--6---7"
Output: [1,2,5,3,null,6,null,4,null,7]

Example 3:

3

Input: "1-401--349---90--88"
Output: [1,401,null,349,88,90]

Note:

  • The number of nodes in the original tree is between 1 and 1000.
  • Each node will have a value between 1 and 10^9.