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 32.2, Problem 4E
Program Plan Intro
To prove that there is at most one chance in 1000 that
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2. If we ignore the audio data in a video file, a video file is just a collection of many individual frames (i.e., images). What is the main reason that a video file can achieve a much higher compression ratio than a file that contains a single image file?
Using Huffman code, we can compress the bits used for saving the characters in a file:
(The Table is in Image Attachment)
Total bits used for saving the character in table 1 is 264 bits using standard ASCII 8 bits for 1 character.Using Huffman code encoding in Table 2, the total bits used is 126 bits.
The problem:➢ Input: list of characters such as table 1➢ Output: total bits using Huffman code encoding (table 2)➢ Task: Design an algorithm in pseudocode/code to print the total bits using Huffman codeencoding and write down the Algorithm analysis. The complexity of the algorithm must be inO(n) and proof it!➢ PS: you don’t need to sort the input since the input is already sorted!
Computer Science
(a) Let A = (Q,Σ,δ,q0,F) be a DFA.Formally describe a 2-tape TM with 3 states that accepts L(A).
(b) Let M = (Q, Σ, Γ, δ, q0, qa, qr) be a single-tape TM.Formally describe a 2-tape TM with 3 states that accepts L(M).
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- A certain disk can read data at a rate of 515.2 MB/s. How many books can be read in 4 seconds if an "average" book has69 pages,20 lines per page,9 words per line,6 characters per word,and each character is one of 100 different characters where the fewest number of bits are used to represent each character?arrow_forwardlet S: r1(x);r2(x);w1(x):r1(x);w2(x);w1(y). Schedule S is said to be Select one: a. no serial and no serializable b. no serial and serializable C. serial d. none of the abovearrow_forwardUsing Huffman code, we can compress the bits used for saving the characters in a file: Total bits used for saving the character in table 1 is 264 bits using standard ASCII 8 bits for 1 character. Using Huffman code encoding in Table 2, the total bits used is 126 bits. The problem: ➢ Input: list of characters such as table 1 ➢ Output: total bits using Huffman code encoding (table 2) ➢ Task: Design an algorithm in pseudocode/code to print the total bits using Huffman code encoding and write down the Algorithm analysis. The complexity of the algorithm must be in O(n) and proof it! ➢ PS: you don’t need to sort the input since the input is already sorted!arrow_forward
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