(a) Referring Figure Q2(a), arrange which nodes execute first to last. Add • Subtract Random Number Divide Sine Number 1 Number 2 Number 3 Number 4 Figure Q2(a) Input A DOL (b) Give common issues leading for problem shown in Figure Q2(b). Produce solution for the problem. Input B Result 1 Figure Q2(b) Resut 2
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- Use your tabulated solutions from the uploaded pdf to answer the following questions. Based on your tabulation of executed iteration for the Dijkstra Algorithm with Customer 6 (C6) connected to Router 6 (R6), which iteration Node Sets consist of the shortest path for R10? Your answer must correspond to the exact Nodes Sets indicated in the table. Examples: [6] or [6,3,2,1,4], etc. Answer:41 37 56 27 38 55 16 29 1. Given the BST above, which nodes are NOT visited when calling find(29)? 2. Which nodes are visited when getting the successor of 29?1.) Determine the order of trasversal for the nodes using the ff methods for figure 1: DFS, post-order DFS, pre-order
- 1. The performance of hash table O A Related to the method of handling conflicts, not the length of the table O B It has nothing to do with the method of handling conflicts, but with the length of the table OC It is related to the conflict handling method and table length OD It has nothing to do with conflict handling methods and table length 2 When using binary search, the linear list must be A Store in Sequential List B Store in linked List OC Store in Sequential List, and the list is ordered by keywords OD Store in linked List, and the list is ordered by keywordsgive an example of a network with no more than 6 nodes and define all the data structure used by a distence vector and a link state algorithm. perform one iteration for both the algorithm families and show the aforementioned structires are uptadedWrite the algorithm that finds and returns how many paths in k units of length between any given two nodes (source node, destination node; source and target nodes can also be the same) in a non-directional and unweighted line of N nodes represented as a neighborhood matrix. (Assume that each side in the unweighted diagram is one unit long.) Note: By using the problem reduction method of the Transform and Conquer strategy, you have to make the given problem into another problem. Algorithm howManyPath (M [0..N-1] [0..N-1], source, target, k)// Input: NxN neighborhood matrix, source, target nodes, k value.// Ouput: In the given line, there are how many different paths of k units length between the given source and target node.
- Problem 3. Recollect that the standard implementation of the Dijkstra's algorithm uses a priority queue that supports the Extract-min() and Decrease-Key() operations. Describe a method to implement Dijkstra's algorithm in O((m + n) log n) time without the use of Decrease-Key operation, i.e., your algorithm can use the Extract-Min() operation but not the Decreased-Key() operation. Solution:13) A linked list is given and the number of the nodes in this linked list is not known. You have to find the sum of the last "x" nodes of the linked list in a single traversal. Assume that size of the linked list is larger than "x". Explain your approach in brief. What is Big-O notation of this solution?The traveling salesperson problem for the following instance 6 is to be solved using branch and bound starting at node a. Break ties alphabetically. v Which are the first 3 nodes dequeued from the priority queue? (Each node is identified by its path from the root) A. 28 v What is the bound for the node [a,d]? (Each node is identified by its path from the root) B. a.b.c.d.a - v A minimal tour is C. a,d,c,b,a v The minimal tour length is D. 34 E. a,b,d.c.a F. [a), [a,c), [a,d] G. [a]. [a,b]. [a,b,d.c,a]] Н. 19 1. 24 J. [a). [a.b). [a.c] K. a.c.b.d.a L. [a), [a,c), [a,c.d.b.a] М. 18
- Consider a table in a relational database with a key field. A B-tree of order x is used as an access structure on key field. Key field is 4 B bytes long, disk block size is 2048 bytes, each data pointer is 8 B bytes long and each block pointer is 6 bytes long. In order for each B-tree node to fit in a single disk block, the maximum value of x, where x denotes the maximum number of tree pointers in a B-tree index node, isPerform Dijkstra’s algorithm (while (Q is not empty){...}, where Q isa min priority queue) on the following graph for source node “s”, writing outevery execution of the RELAX function, the update to the priority queue and theupdates of distance from the source node and parent for the currently visited node.Question 4 (a). An algorithm can be specified in various ways. Identify and explain four ways in which an algorithm can be specified. b. Consider a polynomial that can be represented as a node which will be of fixed size having 3 fields which represent the coefficient and exponent of a term plus a pointer to the next term or to 0 if it's the last term in the polynomial. Then A = 10x³ -3x is represented by the figure below: A 10 -3 1 Represent the following polynomials in linked list form:- a.P = 9x10 + x + 2 b. Q = 7x + 3x³ – 4x + 5 c.R = 4x10 + 2x³ - 3 d. X = 3R + Q– 2P (c). Explain four operations that can be performed on a stack. (d). What is recursion? Give a mathematical function for which recursion can be used; and describe how it can be used