998 - Maximum Binary Tree II\.

Medium

A maximum tree is a tree where every node has a value greater than any other value in its subtree.

You are given the root of a maximum binary tree and an integer val.

Just as in the previous problem, the given tree was constructed from a list a (root = Construct(a)) recursively with the following Construct(a) routine:

• If a is empty, return null.

• Otherwise, let a[i] be the largest element of a. Create a root node with the value a[i].

• The left child of root will be Construct([a[0], a[1], ..., a[i - 1]]).

• The right child of root will be Construct([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:

• The number of nodes in the tree is in the range [1, 100].

• 1 <= Node.val <= 100

• All the values of the tree are unique.

• 1 <= val <= 100