Trim a Binary Search Tree
Given the root of a binary search tree and the lowest and highest boundaries as low and high, trim the tree so that all its elements lies in [low, high].
Trimming the tree should not change the relative structure of the elements that will remain in the tree; that is, any node's descendant should remain a descendant. It can be proven that there is a unique answer.
Return the root of the trimmed binary search tree. Note that the root may change depending on the given bounds.
Example 1
1 1
/ \ -> \
0 2 2Input
root = [1,0,2], low = 1, high = 2Output
[1,null,2]The node with value 0 is outside the range [1, 2], so it is removed while preserving the remaining structure.
Example 2
3 3
/ \ /
0 4 -> 2
\ /
2 1
/
1Input
root = [3,0,4,null,2,null,null,1], low = 1, high = 3Output
[3,2,null,1]Values outside [1, 3] are removed, leaving 3 as the root with 2 as its left child and 1 as a descendant.
Constraints
- The number of nodes in the tree is in the range
[1, 10^4]. 0 <= Node.val <= 10^4- The value of each node in the tree is unique.
rootis guaranteed to be a valid binary search tree.0 <= low <= high <= 10^4