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null(nil) = true // nil refer for empty tree
null(fork(e, T, T'))= false // e : element , T and T are two sub tree leaf(fork(e, nil, nil)) = true
leaf(fork(e, T, T')) = false if not null(T) or not null(T')
leaf(nil) = error
left(fork(e, T, T')) = T
left(nil) = error
right(fork(e, T, T')) = T' right(nil) = error
Contents (fork (e, T, T')) = e contents (nil) = error
Consider the definition of Tree (ADT). A way to think of a binary tree is that this is either empty (nil) or have an element and two sub trees that are themselves binary trees. Fork operation joins two sub trees along a parent node and generates another Binary tree. It might be noted that a tree containing a single leaf is described to be of height 1.
Definition: A tree is connected, acyclic graph
(a) Suppose that t is a binary tree of integers (that is, an object of type BinTree of Int.) in the state shown in Figure 3. Give the vectors returned by each of the f
What values are automatically assigned to those array elements which are not explicitly initialized? Garbage values are automatically assigned to those array elements that
Question 1 Explain how the shuttle sort algorithm works by making use of the following list of integers:11, 4, 2, 8, 5, 33, 7, 3, 1, 6. Show all the steps. Question 2
merge sort process for an example array {38, 27, 43, 3, 9, 82, 10}. If we take a closer look at the diagram, we can see that the array is recursively divided in two halves till the
Q. A linear array A is given with lower bound as 1. If address of A[25] is 375 and A[30] is 390, then find address of A[16].
given the string "Data Structures & , Algorithms", write a program that uses sequential search to return index of ''&''
Circular Queues:- A more efficient queue representation is get by regarding the array Q(1:n) as circular. It becomes more convenient to declare the array as Q(O: n-1), when re
Q. Explain the result of inserting the keys given. F, S, Q, K, C, L, H, T, V, W, M, R, N, P, A, B, X, Y, D, Z, E in an order to an empty B-tree of degree-3.
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In worst case Quick Sort has order O (n 2 /2)
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