Suppose we have an optimal prefix code on a set C = {0, 1, . . .

Question:

Suppose we have an optimal prefix code on a set C = {0, 1, . . . n – 1} of characters and we wish to transmit this code using as few bits as possible. Show how to represent any optimal prefix code on C using only 2n - 1 + n ⌈lg n⌋ bits.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

See More Books

Question Posted: Feb 25, 2020 08:37 AM

See More Questions

Suppose we wish not only to increment a counter but also to reset it to zero (i.e., make all bits in it 0). Show how to implement a counter as an array of bits so that any sequence of n INCREMENT and...
Suppose that we have a hash table with n slots, with collisions resolved by chaining, and suppose that n keys are inserted into the table. Each key is equally likely to be hashed to each slot. Let M...
A scaling algorithm solves a problem by initially considering only the highest-order bit of each relevant input value (such as an edge weight). It then refines the initial solution by looking at the...
Find the point (a, b) on the graph of y = ex where the value ab is the least.
Without looking them up, rank the following compounds in decreasing order of acidity. These examples represent large classes of compounds that differ widely in acidity. water, ethanol,...
What are the advantages and disadvantages of the hub- and- spoke system?
Although the customer loyalty project at Petrie Electronics had gone slowly at first, the past few weeks had been fast-paced and busy, Jim Watanabe, the project manager, thought to himself. He had...
Following are several decisions that the auditor must make in an audit of a nonpublic company. Letters indicate alternative conclusions that could be made. Required a. Identify the sequence in which...
Dan is standing a distance d = 25 m away from the base of a cliff of height H = 8 m. He is going to throw a baseball from 2 m above the ground at an angle = 53 above the horizontal with initial speed...
Some of the transactions of Pampered Queen Bath Products, Inc., during this fiscal year are as follows: Mar. 15 Paid balance due on previous years federal income tax, $ 7,230. Apr. 15 Paid $ 83,760...
Prove that if we order the characters in an alphabet so that their frequencies are monotonically decreasing, then there exists an optimal code whose codeword lengths are monotonically increasing.
Generalize Huffman's algorithm to ternary codewords (i.e., codewords using the symbols 0, 1, and 2), and prove that it yields optimal ternary codes.
In Exercises give a parametrization for the curve. The line through ( - 3, - 2) and (4, - 1)
A male employee prominently posts a centerfold from a female pornographic magazine.
What advice would you give me if I had an HRM position in your country?
A female supervisor frequently praises the work of a highly competent male employee.
What were the greatest difficulties in adapting to this new culture?
Describe your countrys culture in terms of form of government, emphasis on individuals versus groups, roles of women in the workforce, benefits provided to employees, and how employees are treated.
Seventy percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 60% have an emergency locator, whereas 90%...
What key concerns must functional tactics address in marketing? Finance? POM? Personnel?
Inside the Castle of Asymptopia there is a maze, and along each corridor of the maze there is a bag of gold coins. The amount of gold in each bag varies. A noble knight, named Sir Paul, will be given...
Consider a diagram of a telephone network, which is a graph G whose vertices represent switching centers, and whose edges represent communication lines joining pairs of centers. Edges are marked by...
Let G be a graph with n vertices and m edges such that all the edge weights in G are integers in the range [1,n]. Give an algorithm for finding a minimum spanning tree for G in O(mlog n) time.
Consumers will adopt the Philip Morris innovative product differently. For any new product, there will be pioneers and early adopters. The rate of adoption of an innovation is dependent on its...
If infrastructure spending generates a positive externality, what effect should this have on government policy? Will voters be more or less likely to support government spending programs on...
Solve the last part with lingo as its required: Question 2. A cargo plane has three compartments for storing cargo: front, centre and rear. These compartments have the following limits on both...

Suppose we have an optimal prefix code on a set C = {0, 1, . . .

Question:

Step by Step Answer:

First observe that any full binary tree has exactly 2n 1...View the full answer

Introduction to Algorithms

Students also viewed these Computer science questions