1014 For example, consider a tree with 3 nodes(n=3), it will have the maximum combination of 5 different (ie, 23 - 3 = 5) trees. i ii iii iv v In general: If there are n nodes, there exist 2n-n different trees. (a) Array (b) Linked list (c) Stack (d) Queue (e) none (b) Linked list Backtracking If the 'pivotal value' (or the 'Height factor') is greater than 1 or less than –1. One. If there is only one entry possible in the bucket, when the collision occurs, there is no way to accommodate the colliding value. This results in the overlapping of values. 15. In general: There are 2n-1 nodes in a full binary tree. By the method of elimination: Full binary trees contain odd number of nodes. So there cannot be full binary trees with 8 or 14 nodes, so rejected. With 13 nodes you can form a complete binary tree but not a full binary tree. So the correct answer is 15. Note: Full and Complete binary trees are different. All full binary trees are complete binary trees but not vice versa. At location 6 1 2 3 - - 4 - - 5 Root LC1 RC1 LC2 RC2 LC3 RC3 LC4 RC4 where LCn means Left Child of node n and RCn means Right Child of node n 65 70 75 80 85 60 55 50 45 Sorting takes place from the pivot value, which is the first value of the given elements, this is marked bold. The values at the left pointer and right pointer are indicated using L and R respectively. 65 70L 75 80 85 60 55 50 45R Since pivot is not yet changed the same process is continued after interchanging the values at L and R positions 65 45 75 L 80 85 60 55 50 R 70 65 45 50 80 L 85 60 55 R 75 70 65 45 50 55 85 L 60 R 80 75 70 65 45 50 55 60 R 85 L 80 75 70 When the L and R pointers cross each other the pivot value is interchanged with the value at right pointer. If the pivot is changed it means that the pivot has occupied its original position in the sorted order (shown in bold italics) and hence two different arrays are formed, one from start of the original array to the pivot position-1 and the other from pivot position+1 to end. 60 L 45 50 55 R 65 85 L 80 75 70 R 55 L 45 50 R 60 65 70 R 80 L 75 85 50 L 45 R 55 60 65 70 80 L 75 R 85 In the next pass we get the sorted form of the array. 45 50 55 60 65 70 75 80 85
IBM Aptitude papers
List out few of the Application of tree data-structure?
The manipulation of Arithmetic expression,
Symbol Table construction,
Syntax analysis.
List out few of the applications that make use of Multilinked Structures?
Sparse matrix,
Index generation.
In tree construction which is the suitable efficient data structure?
What is the type of the algorithm used in solving the 8 Queens problem?
In an AVL tree, at what condition the balancing is to be done?
What is the bucket size, when the overlapping and collision occur at same time?
Traverse the given tree using Inorder, Preorder and Postorder traversals.
Inorder : D H B E A F C I G J
Preorder: A B D H E C F G I J
Postorder: H D E B F I J G C A
There are 8, 15, 13, 14 nodes were there in 4 different trees. Which of them could have formed a full binary tree?
In the given binary tree, using array you can store the node 4 at which location?
Sort the given values using Quick Sort?
For the given graph, draw the DFS and BFS?
BFS: A X G H P E M Y J
DFS: A X H P E Y M J G
Classify the Hashing Functions based on the various methods by which the key value is found.
Direct method,
Subtraction method,
Modulo-Division method,
Digit-Extraction method,
Mid-Square method,
Folding method,
Pseudo-random method.
