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LeetCode 998, Medium. Topics: Tree, Binary Tree. View on LeetCode. Generate this problem as a practice environment: tested reference solution, 16 parametrized pytest cases, and a playground notebook:

Problem

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:
  1. If a is empty, return null.
  2. Otherwise, let a[i] be the largest element of a. Create a root node with the value a[i].
  3. The left child of root will be Construct([a[0], a[1], ..., a[i - 1]]).
  4. The right child of root will be Construct([a[i + 1], a[i + 2], ..., a[a.length - 1]]).
  5. 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).

Examples

Example 1
Example 2
Example 3

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

Solution

Reference implementation from solution.py on GitHub, full suite in test_solution.py:

Complexity

Tags

Last modified on September 7, 2026