Given the root of a binary tree, determine if the binary tree holds children-sum property. For a tree to satisfy the children-sum property, each node’s value should be equal to the sum of values at its left and right subtree.
Given a list of non-negative integers, find the minimum number of merge operations to make it a palindrome. A merge operation can only be performed on two adjacent elements and replace them with their sum.
Given two height-balanced binary search trees, in-place merge them into a single balanced binary search tree. For each node of a height-balanced tree, the difference between its left and right subtree height is at most 1.
Given an array representing the parent-child relationship in a binary tree, find the tree’s height without building it. The parent-child relationship is defined by (A[i], i) for every index i in array A.
Given a binary tree and two tree pointers, x and y, write an efficient algorithm to check if they lie on the same root-to-leaf path in the binary tree. In other words, determine whether x is an ancestor of y, or x is a descendant of y.
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Given an array representing the preorder traversal of a BST, determine whether it represents a skewed BST or not. In a skewed BST, each node’s descendants are either smaller or larger than the node itself.