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balance-a-binary-search-tree

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Given the root of a binary search tree, return a balanced binary search tree with the same node values. If there is more than one answer, return any of them.

A binary search tree is balanced if the depth of the two subtrees of every node never differs by more than 1.

 

Example 1:

Input: root = [1,null,2,null,3,null,4,null,null]
Output: [2,1,3,null,null,null,4]
Explanation: This is not the only correct answer, [3,1,4,null,2] is also correct.

Example 2:

Input: root = [2,1,3]
Output: [2,1,3]

 

Constraints:

  • The number of nodes in the tree is in the range [1, 104].
  • 1 <= Node.val <= 105

Related Topics

[Divide and Conquer] [Greedy] [Tree] [Depth-First Search] [Binary Search Tree] [Binary Tree]

Hints

Hint 1 Convert the tree to a sorted array using an in-order traversal.
Hint 2 Construct a new balanced tree from the sorted array recursively.