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 11.1, Problem 1E
Program Plan Intro
To describe the procedure that finds the maximum element of a dynamic set S and also find the worst-case performance of the procedure.
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The inclusion property of a stack page replacement technique asserts that the set of memory pages for n frames is always a subset of the set for n + 1 frames given the same sequence of accesses. OPT/LRU (recently)
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Explain
a) How is the performance of Rolling Hashing ADT affected?b) How is the performance of Karp-Rabin affected?c) How is the performance of chaining affected?d) How is the performance of open addressing affected?
Exercise 1
Consider a hash table of size 13, and assume open addressing with linear probing
Show what the hash table will look like after the following items are added in the order shown.
26 54 77 90 27 30 28 52 96 65
What’s the load factor of the hash table after the values above are added?
If any of the values cause a collision, indicate which.
How many comparisons are needed to find 65 in the table? Briefly explain.
How many comparisons are needed to determine that 104 is not in the table? Briefly explain.
What’s the hash value computed for the string “dog”? Show your work.
Exercise 2
Suppose chaining is used as the method for collision resolution.
Part A
Show what the hash table will look like after the following items are added in the order shown.
26 54 77 90 27 30 28 52 96 65
How many comparisons are needed to find 65 in the table?
How many comparisons are needed to determine that 104 is not in the…
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Similar questions
- Give a comparison of FIFO, LRU and OPTIMAL algorithms in term of Page faults with three and four frames in each case for the reference string of pages duly demanded in Main Memory. Reference String: 2, 3, 3, 2, 1, 4, 0, 0, 3, 2, 1, 1, 2, 3, 4arrow_forwardSuppose that a disk drive has 6,000 cylinders, numbered 0 to 5,999. The drive is currently serving a request at cylinder 3,250, and the previous request was at cylinder 4,805. The queue of pending requests, in FIFO order, is:1515, 1212, 1296, 3800, 544, 618, 356, 2523, 5965, 4681Starting from the current head position, what is the total distance (in cylinders) that thedisk arm moves to satisfy all the pending requests for each of the following diskscheduling algorithms?a. FCFSb. SSTFc. SCANd. LOOKarrow_forwardAccording to the inclusion property of a stack page replacement technique, for every given sequence of accesses, the set of pages in memory for n frames is always a subset of the set of pages for n + 1 frames. Validate the OPT and LRU (most recently used) stack algorithms.arrow_forward
- For the traversal log: {X, Y, Z, W, Y, A, B, C, D, Y, C, D, E, F, D, E, X, Y, A, B, M, N}, a. Find maximal forward references. b. Find large reference sequences if the threshold value is 0.3 (or 30%). c. Find maximal reference sequences.arrow_forwardSuppose we want to store a set S of n keys in a hash table T with size m, with m = n + 2, and a hash function that behaves uniformly. Should we resolve collisions with chaining or with open- addressing? Please explain why.arrow_forwardSuppose that a disk drive has 6,000 cylinders, numbered 0 to 5999. The drive is currently serving a request at cylinder 3797, and the previous request was at cylinder 1375. The queue of pending requests, in FIFO order, is: 1589, 5474, 2104, 1350, 4336, 3678, 1697, 1780, 3794, 3982, 2508 Starting from the current head position, what is the total distance (in cylinders) that the disk arm moves to satisfy all the pending requests for each of the following disk-scheduling algorithms? Show the calculation result Show the sequence of the position of the head and calculation steps 1. SSTF 2. SCANarrow_forward
- A hash table and an STL map are compared and contrasted. How is a hash table put into practise? Which alternatives to a hash table can be utilised if the number of inputs is small?arrow_forwardThe set of pages in memory for n frames is always a subset of the set of pages in memory for n + 1 frames for the same sequence of accesses; this is what is meant by the inclusion property of a stack page replacement mechanism. Convince me that OPT and LRU are true (recently) Algorithms that can be stacked.arrow_forwardWhat is associative mapping in cache? Prove that set associative mapping have both the properties of direct mapping and associative mappingarrow_forward
- implement an open addressing hash table to store a list of integers your task js to handle collisions using open addressing and implement basic operations such as insertion, deletion,and searching. The open addressing technique you will use is linear probingarrow_forwardDraw task-dependency graphs and their communication times for one-to-all personalized communication of m-word messages on p nodes for the linear array and the mesh architectures.arrow_forwardA hash table and an STL map are compared and contrasted. How does a hash table work? Which data structure alternatives may be utilised instead of a hash table if the number of inputs is small?arrow_forward
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