How to Solve Merge B S Ts to Create Single B S T Problem
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Merge BSTs to Create Single BST
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 operat...
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Problem Statement
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.
Merge BSTs to Create Single BST
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Examples
trees = [[2,1],[3,2,5],[5,4]][3,2,5,1,null,4]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.
trees = [[5,3,8],[3,2,6]][]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.
trees = [[5,4],[3]][]It is impossible to perform any operations.
Constraints
n == trees.length1 <= n <= 5 * 104The 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 *How Interview Coder Helps with Leetcode Problems
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