Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 21.4, Problem 3E
Program Plan Intro
To find the number of bits required to store
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There is a data set that describes the email contacts between people in a University department. The data set is as follows:
0 1
0 2
0 6
1 0
1 3
1 5
2 0
2 4
3 1
3 5
3 6
4 2
4 5
5 1
5 3
5 4
6 0
6 3
There are totally 7 ids, representing 7 individuals. The two columns are the ids of persons. The id pair in a row represents an email contact relationship between the node pairs. For example, the first row ‘0 1’ means an individual with id 0 and an individual with id 1 have an email contact. All the individuals and their relationship constitute an email contact network, which is a graph in data structure. Based on the data set, please implement the following tasks:
Establish a graph data structure using the adjacent list method.
Source code:
Running snapshot:
Let node 0 as the origin and do the BFS traverse of the graph. Print out the BFS traverse…
A hash-map has been constructed with quadratic-hashing. The hashing function is h(k;) =
(3 * k; + 7) mod 17 and the table length is N = 17. How many cells will be probed by the call of
insert(2)
1
4
5
6
7
8
10
11
12
13
14
15
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26
89
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Note: First row contains the indices and the second row contains the items.
PLEASE USE PYTHONGiven a jungle matrix NxM:jungle = [ [1, 0, 0, 0], [1, 1, 0, 1], [0, 1, 0, 0], [1, 1, 1, 1,]]Where 0 means the block is dead end and 1 means the block can be used in the path fromsource to destination.Task:Starting at position (0, 0), the goal is to reach position (N-1, M-1).Your program needs to build and output the solution matrix – a 4x4 matrix with 1’s inpositions used to get from the starting position (0,0) to the ending position (N-1,M-1)with the following constraints:You can only move one space at a timeYou can only in two directions: forward and down.You can only pass thru spaces on the jungle matrix marked ‘1’If you cannot reach the ending position – print a message that you’re trapped in thejungleAlgorithm:If destination is reachedprint the solution matrixElseMark current cell in the solution matrixMove forward horizontally and recursively check if this leads to a solution If there is no solution, move down and recursively check if this leads to a solution If…
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- ..... ..arrow_forward111. distances between nodes in an eight-node network is presented in the from-to distance table below. What is the shortest distance between node 1 to node 8?arrow_forwardIn a network of N nodes, how many iterations are required for Dijkstra's algorithm to completes its execution. Hint: Section 5.2.1 has the pseudo code for Dijkstra's link state algorithm that finds the shortest path from a source node to every node in the network. Professor Kurose shows the pseudo code in his video. The pseudo code in the text shows an initialization step and then a loop. How many times would the loop be executed for a network of N nodes? O N+1 times ON-1 times ON times O N² timesarrow_forward
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- can you help me with this:arrow_forward2. Given the following binary search tree. If we delete the node "9", then which node can replace the node "9"? d 6 3 1 6. 4 9 7 a. 4 b. 6 с. 7 d. 3 2.arrow_forwardIn order to test connectivity, Python code uses the function Connectivity Undirected, which then calls the BFS algorithm, which returns a list of visited vertices and sorts them as shown below. The connectivity is then calculated by comparing this list to every node in the network in the main function. Be aware that in order to match the visited vertices with the sorted array of vertices, we must first sort the visited vertices. However, ordering can be avoided if sets are used in place of lists.arrow_forward
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