We are given the root
node of a maximum tree: a tree where every node has a value greater than any other value in its subtree.
Just as in the previous problem, the given tree was constructed from an list A
(root = Construct(A)
) recursively with the following Construct(A)
routine:
- If
A
is empty, returnnull
. - Otherwise, let
A[i]
be the largest element ofA
. Create aroot
node with valueA[i]
. - The left child of
root
will beConstruct([A[0], A[1], ..., A[i-1]])
- The right child of
root
will beConstruct([A[i+1], A[i+2], ..., A[A.length - 1]])
- Return
root
.
Note that we were not given A directly, only a root node root = Construct(A)
.
Suppose B
is a copy of A
with the value val
appended to it. It is guaranteed that B
has unique values.
Return Construct(B)
.
Example 1:
Input: root = [4,1,3,null,null,2], val = 5 Output: [5,4,null,1,3,null,null,2] Explanation: A = [1,4,2,3], B = [1,4,2,3,5]
Example 2:
Input: root = [5,2,4,null,1], val = 3 Output: [5,2,4,null,1,null,3] Explanation: A = [2,1,5,4], B = [2,1,5,4,3]
Example 3:
Input: root = [5,2,3,null,1], val = 4 Output: [5,2,4,null,1,3] Explanation: A = [2,1,5,3], B = [2,1,5,3,4]
Constraints:
1 <= B.length <= 100