10+ Systems Plus Interview Questions and Answers

The task is to determine if the given binary tree nodes form exactly one valid binary tree.

• Check if there is only one root node (a node with no parent)

• Check if each node has at most one parent

• Check if there are no cycles in the tree

• Check if all nodes are connected and form a single tree

The maximum number of balanced binary trees possible with a given height is to be counted and printed.

• A balanced binary tree is one in which the difference between the left and right subtree heights is less than or equal to 1.

• The number of balanced binary trees can be calculated using dynamic programming.

• The number of balanced binary trees with height 'H' can be obtained by summing the product of the number of balanced binary trees for each possible left and right subtree hei...read more

The task is to sort an array in a wave form, where each element is greater than or equal to its adjacent elements.

• Iterate through the array and swap adjacent elements if they do not follow the wave pattern

• Start from the second element and compare it with the previous element, swap if necessary

• Continue this process until the end of the array

• Repeat the process for the remaining elements

• Return the sorted wave array

The task is to check if there exist two unique elements in the given BST such that their sum is equal to the given target 'K'.

• Traverse the BST in-order and store the elements in a sorted array

• Use two pointers, one at the beginning and one at the end of the array

• Check if the sum of the elements at the two pointers is equal to the target 'K'

• If the sum is less than 'K', move the left pointer to the right

• If the sum is greater than 'K', move the right pointer to the left

• Repeat the...read more

The task is to find the maximum sum of node values of any subtree that is a Binary Search Tree(BST).

• Traverse the binary tree in a bottom-up manner

• For each node, check if it forms a BST and calculate the sum of its subtree

• Keep track of the maximum sum encountered so far

• Return the maximum sum

The task is to find all nodes in a binary tree that are at a distance K from a given node.

• Implement a function that takes the binary tree, target node, and distance K as input.

• Use a depth-first search (DFS) algorithm to traverse the tree and find the nodes at distance K.

• Keep track of the distance from the current node to the target node while traversing.

• When the distance equals K, add the current node to the result list.

• Continue the DFS traversal to explore other nodes in the...read more