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Cormen Edition 3 Exercise 12.1 Question 5 (Page No. 289)
Argue that since sorting $n$ elements takes $\Omega (n\ lgn)$ time in the worst case in the comparison model, any comparison-based algorithm for constructing a $BST$ from an arbitrary list of n elements takes $\Omega (n\ lgn)$ time in the worst case.

asked Nov 20 in Algorithms by Kushagra गुप्ता Active (1.9k points) | 87 views

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Cormen Edition 3 Exercise 22.2 Question 8 (Page No. 539)
The diameter of a tree $T= (V, E)$ is defined as $max_{u,v\ \epsilon\ V}\ \delta(u,v)$, that is, the largest of all shortest-path distances in the tree. Give an efficient algorithm to compute the diameter of a tree, and analyze the running time of your algorithm.

asked Nov 12 in Algorithms by Kushagra गुप्ता Active (1.9k points) | 69 views

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Cormen Edition 3 Exercise 22.2 Question 7 (Page No. 539)
There are two types of professional wrestlers: babyfaces ( good guys ) and heels ( bad guys ). Between any pair of professional wrestlers, there may or may not be a rivalry. Suppose we have n professional wrestlers and we ... between a babyface and a heel. If it is possible to perform such a designation, your algorithm should produce it.

asked Nov 12 in Algorithms by Kushagra गुप्ता Active (1.9k points) | 26 views

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Cormen Edition 3 Exercise 22.2 Question 6 (Page No. 539)
Give an example of a directed graph $G=(V, E)$, a source vertex $s\ \epsilon\ V$ , and a set of tree edges $E_{\Pi}\subseteq E$ such that for each vertex $v\ \epsilon\ V$ ... set of edges $E_{\Pi}$ cannot be produced by running BFS on G, no matter how the vertices are ordered in each adjacency list.

asked Nov 12 in Algorithms by Kushagra गुप्ता Active (1.9k points) | 17 views

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Variation on Birthday Problem
So, I have read the birthday paradox problem, and now I came across below question: Assuming the following: there are no leap years, all years have $n = 365$ days and that people's birthdays are uniformly distributed across the $n$ days of the year. (i) How many ... $n=23$, this works out to be 0.53 and Yes it seems to me I am done. Please correct me If I am wrong.

asked Nov 12 in Probability by Ayush Upadhyaya Boss (27.7k points) | 77 views

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6

Data communication and networking by forouzan 12.7 Exercise Qn 16
16. In a CDMA/CD network with a data rate of 10 Mbps, the maximum distance between any station pair is found to be 2500 m for the correct operation of the collision detection process. What should be the maximum distance if we increase the data rate to 100 Mbps? To 1 Gbps? To 10 Gbps?

asked Nov 7 in Computer Networks by Mk Utkarsh Boss (35.7k points) | 93 views

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Data communication and networking by forouzan 12.7 Exercise Qn 15
15. In a CDMA/CD network with a data rate of 10 Mbps, the minimum frame size is found to be 512 bits for the correct operation of the collision detection process. What should be the minimum frame size if we increase the data rate to 100 Mbps? To 1 Gbps? To 10 Gbps?

asked Nov 7 in Computer Networks by Mk Utkarsh Boss (35.7k points) | 44 views

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Data communication and networking by forouzan 12.7 Exercise
11. We have a pure ALOHA network with 100 stations. If $T_{fr} = 1 \mu s$, what is the number of frames each station can send to achieve the maximum efficiency. 12. Repeat Exercise 11 for slotted ALOHA.

asked Nov 7 in Computer Networks by Mk Utkarsh Boss (35.7k points) | 43 views

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9

The Interesting combination sum problems
Find the number of possible solutions for $x,y,z$ for each the following cases. $Case\ 1.$ Case of unlimited repetition. $x + y +z = 10$ and $x \geq 0\ , y \geq 0,\ z \geq 0 $ $Case\ 2 $ Case of unlimited repetition with variable lower bounds $x + y +z = 10$ and ... variable. $x + y +z = 10$ and $8 \geq x \geq 1\ , \ 20 \geq y \geq 2 \ , 12 \geq z \geq 3\ $

asked Nov 1 in Combinatory by Satbir Boss (21.6k points) | 168 views

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Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 44 (Page No. 470)
In certain countries, when two people meet they bow to each other. The protocol is that one of them bows first and stays down until the other one bows. If they bow at the same time, they will both stay bowed forever. Write a program that does not deadlock.

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 74 views

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Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 43 (Page No. 470)
Write a program that detects if there is a deadlock in the system by using a resource allocation graph. Your program should read from a file the following inputs: the number of processes and the number of resources. ... system. In case there is, the program should print out the identities of all processes that are deadlocked.

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 31 views

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Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 42 (Page No. 470)
Write a program to implement the deadlock detection algorithm with multiple resources of each type. Your program should read from a file the following inputs: the number of processes, the number of resource types, the ... . In case there is, the program should print out the identities of all processes that are deadlocked.

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 15 views

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13

Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 41 (Page No. 470)
Program a simulation of the banker’s algorithm. Your program should cycle through each of the bank clients asking for a request and evaluating whether it is safe or unsafe. Output a log of requests and decisions to a file.

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 11 views

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Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 40 (Page No. 469)
Repeat the previous problem, but now avoid starvation. When a baboon that wants to cross to the east arrives at the rope and finds baboons crossing to the west, he waits until the rope is empty, but no more westward-moving baboons are allowed to start until at least one baboon has crossed the other way.

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 4 views

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Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 39 (Page No. 469)
A student majoring in anthropology and minoring in computer science has embarked on a research project to see if African baboons can be taught about deadlocks. He locates a deep canyon and fastens a rope across ... . Do not worry about a series of eastward-moving baboons holding up the westward-moving baboons indefinitely.

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 10 views

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Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 38 (Page No. 469)
Cinderella and the Prince are getting divorced. To divide their property, they have agreed on the following algorithm. Every morning, each one may send a letter to the other's lawyer requesting one item of ... vacation, the computers are still negotiating. Why? Is deadlock possible? Is starvation possible? Discuss your answer.

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 9 views

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Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 37 (Page No. 469)
A program contains an error in the order of cooperation and competition mechanisms, resulting in a consumer process locking a mutex (mutual exclusion semaphore) before it blocks on an empty buffer. The producer process ... the producer. Is this a resource deadlock or a communication deadlock? Suggest methods for its control.

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 7 views

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18

Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 36 (Page No. 468 - 469)
Local Area Networks utilize a media access method called CSMA/CD, in which stations sharing a bus can sense the medium and detect transmissions as well as collisions. In the Ethernet protocol, stations requesting the ... or a livelock? Can you suggest a solution to this anomaly? Can starvation occur with this scenario?

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 7 views

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Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 35 (Page No. 468)
Assume two processes are issuing a seek command to reposition the mechanism to access the disk and enable a read command. Each process is interrupted before executing its read, and discovers that the other has moved the ... . Is this a resource deadlock or a livelock? What methods would you recommend to handle the anomaly?

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 5 views

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20

Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 34 (Page No. 468)
Explain the differences between deadlock, livelock, and starvation.

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 21 views

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Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 33 (Page No. 468)
Main memory units are preempted in swapping and virtual memory systems. The processor is preempted in time-sharing environments. Do you think that these preemption methods were developed to handle resource deadlock or for other purposes? How high is their overhead?

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 3 views

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Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 32 (Page No. 468)
A computer science student assigned to work on deadlocks thinks of the following brilliant way to eliminate deadlocks. When a process requests a resource, it specifies a time limit. If the process blocks because the resource ... allowed to run again. If you were the professor, what grade would you give this proposal and why?

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 6 views

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23

Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 31 (Page No. 468)
One way to prevent deadlocks is to eliminate the hold-and-wait condition. In the text it was proposed that before asking for a new resource, a process must first release whatever resources it already holds ( ... new resource but lose some of the existing ones to competing processes. Propose an improvement to this scheme.

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 6 views

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Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 30 (Page No. 468)
In an electronic funds transfer system, there are hundreds of identical processes that work as follows. Each process reads an input line specifying an amount of money, the account to be credited, and the account to be ... , solutions that lock one account and then release it immediately if the other is locked are not allowed.)

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 8 views

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25

Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 29 (Page No. 468)
A distributed system using mailboxes has two $IPC$ primitives, send and receive. The latter primitive specifies a process to receive from and blocks if no message from that process is available, even though ... no shared resources, but processes need to communicate frequently about other matters. Is deadlock possible? Discuss.

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 3 views

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26

Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 28 (Page No. 468)
Two processes, $A$ and $B,$ each need three records, $1, 2,$ and $3,$ in a database. If $A$ asks for them in the order $1, 2, 3,$ and $B$ asks for them in the same order, deadlock ... or six possible combinations in which each process can request them. What fraction of all the combinations is guaranteed to be deadlock free?

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 11 views

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27

Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 27 (Page No. 467)
One way to eliminate circular wait is to have rule saying that a process is entitled only to a single resource at any moment. Give an example to show that this restriction is unacceptable in many cases.

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 4 views

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Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 26 (Page No. 467)
A system has four processes and five allocatable resources. The current allocation and maximum needs are as follows: What is the smallest value of x for which this is a safe state?

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 11 views

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29

Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 25 (Page No. 467)
The banker’s algorithm is being run in a system with $m$ resource classes and $n$ processes. In the limit of large $m$ and $n,$ the number of operations that must be performed to check a state for safety is proportional to $m^{a} n^{b}.$ What are the values of $a$ and $b?$

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 6 views

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30

Andrew S. Tanenbaum (OS) Edition 4 Exercise 6 Question 24 (Page No. 467)
Suppose that process $A$ in Fig. 6-12 requests the last tape drive. Does this action lead to a deadlock?

asked Oct 30 in Operating System by Lakshman Patel RJIT Veteran (54.8k points) | 4 views

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