Class Solution

java.lang.Object
g0601_0700.s0654_maximum_binary_tree.Solution

public class Solution extends java.lang.Object
654 - Maximum Binary Tree.

Medium

You are given an integer array nums with no duplicates. A maximum binary tree can be built recursively from nums using the following algorithm:

  1. Create a root node whose value is the maximum value in nums.
  2. Recursively build the left subtree on the subarray prefix to the left of the maximum value.
  3. Recursively build the right subtree on the subarray suffix to the right of the maximum value.

Return the maximum binary tree built from nums.

Example 1:

Input: nums = [3,2,1,6,0,5]

Output: [6,3,5,null,2,0,null,null,1]

Explanation: The recursive calls are as follow:

  • The largest value in [3,2,1,6,0,5] is 6. Left prefix is [3,2,1] and right suffix is [0,5].

    • The largest value in [3,2,1] is 3. Left prefix is [] and right suffix is [2,1].

      • Empty array, so no child.

      • The largest value in [2,1] is 2. Left prefix is [] and right suffix is [1].

        • Empty array, so no child.

        • Only one element, so child is a node with value 1.

    • The largest value in [0,5] is 5. Left prefix is [0] and right suffix is [].

      • Only one element, so child is a node with value 0.

      • Empty array, so no child.

Example 2:

Input: nums = [3,2,1]

Output: [3,null,2,null,1]

Constraints:

  • 1 <= nums.length <= 1000
  • 0 <= nums[i] <= 1000
  • All integers in nums are unique.
  • Constructor Summary

    Constructors
    Constructor
    Description
     
  • Method Summary

    Modifier and Type
    Method
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    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • constructMaximumBinaryTree

      public TreeNode constructMaximumBinaryTree(int[] nums)