Given two binary trees with head reference as T and S having at most N nodes. The task is to check if S is present as subtree in T. A subtree of a tree T1 is a tree T2 consisting of a node in T1 and all of its descendants in T1 You don't need to read input or print anything. Your task is to complete the function isSubtree() that takes root node of S and T as parameters and returns 1 if S is a subtree of T else 0. Expected Time Complexity: O(N). Expected Auxiliary Space: O(N). Constraints: 1 <= Number of nodes <= 105 1 <= Value of nodes <= 104

2. You have a family tree diagram like the following, very smallI, sample tree and file. It is stored as a file with the following format (parent: , one line for all people in the tree). Your task is to be able to find the descendants of any person in a family tree, e.g. the descendants of p1 are p4.p5,p7,p8 in O(|P|) time, where P is the set of people in the graph. "Sketching" the approach is fine but you may give full pseudocode, just reuse an algorithm from class, perform some obvious conversion (Adjacency Matrix to/from Array List, etc.) or some combination of these. You may not use depth first search or breadth first search. You may preprocess the input with any polynomial approach and may assume the |P| people in the tree are labelled po, p1, .p. p0: p4, p5 p1: p4, p5 p2: p6 p3: p6 p4: p4 p5: p7, p8 p6: p7, p8 p7: p8: p7 p8 Preprocess File By: How to retrieve descendants (O(|P|) time, max): getDescendants(Person ):

Write a program that maintains a personal phone book in C. The program allows to:▪ Add and Delete entries from the phone book,▪ Search the phone book for a specific entry by last name or by phone number, and▪ Print out the entire entries in the phone book.The data in the phone book is maintained by storing in memory with the use of a singly linked list, withone list node per entry. Each node contains members for storing a person’s family name, first name, address,and the phone number. Use strings to store this information. The linked list must be kept in increasingalphabetical order, sorted by family name. There are no duplicate entries with the same family nameallowed in the phone book. This program should be menu driven, with the user being offered a choice of the following commandsdescribed below:▪ Insert a new entry into the phone book.The program should prompt the user for a new family name and first name, an address and a phonenumber. This information should be placed in a new…