Package g1901_2000.s1932_merge_bsts_to_create_single_bst

Class Solution

java.lang.Object
g1901_2000.s1932_merge_bsts_to_create_single_bst.Solution
public class Solution extends java.lang.Object
1932 - Merge BSTs to Create Single BST.

Hard

You are given n BST (binary search tree) root nodes for n separate BSTs stored in an array trees ( 0-indexed ). Each BST in trees has at most 3 nodes , and no two roots have the same value. In one operation, you can:

  • Select two distinct indices i and j such that the value stored at one of the leaves of trees[i] is equal to the root value of trees[j].
  • Replace the leaf node in trees[i] with trees[j].
  • Remove trees[j] from trees.

Return the root of the resulting BST if it is possible to form a valid BST after performing n - 1 operations, or null if it is impossible to create a valid BST.

A BST (binary search tree) is a binary tree where each node satisfies the following property:

  • Every node in the node’s left subtree has a value strictly less than the node’s value.
  • Every node in the node’s right subtree has a value strictly greater than the node’s value.

A leaf is a node that has no children.

Example 1:

Input: trees = [[2,1],[3,2,5],[5,4]]

Output: [3,2,5,1,null,4]

Explanation: In the first operation, pick i=1 and j=0, and merge trees[0] into trees[1]. Delete trees[0], so trees = [[3,2,5,1],[5,4]]. In the second operation, pick i=0 and j=1, and merge trees[1] into trees[0]. Delete trees[1], so trees = [[3,2,5,1,null,4]]. The resulting tree, shown above, is a valid BST, so return its root.

Example 2:

Input: trees = [[5,3,8],[3,2,6]]

Output: []

Explanation: Pick i=0 and j=1 and merge trees[1] into trees[0]. Delete trees[1], so trees = [[5,3,8,2,6]]. The resulting tree is shown above. This is the only valid operation that can be performed, but the resulting tree is not a valid BST, so return null.

Example 3:

Input: trees = [[5,4],[3]]

Output: []

Explanation: It is impossible to perform any operations.

Constraints:

  • n == trees.length
  • 1 <= n <= 5 * 104
  • The number of nodes in each tree is in the range [1, 3].
  • Each node in the input may have children but no grandchildren.
  • No two roots of trees have the same value.
  • All the trees in the input are valid BSTs.
  • 1 <= TreeNode.val <= 5 * 104.

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    TreeNode
    canMerge(java.util.List<TreeNode> trees)
     

    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