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 5.4, Problem 6E
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To determine the expected number of empty bins and expected number of bins with exactly one ball .
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Introduction to Algorithms
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- There are N people numbered from 1 to N around a round table. Everyone has a different number in their hands between 1 and N. We start with the first person and count the number in his hand and ask the related person to leave the table. If the number in the card odd, we count clockwise. if it is even, we count counterclockwise. Ensure that all people leave the table. The first person to leave the table is the first person. In the sample scenario, the first integer value in the table_in.txt file indicates the number of people around the table, it is 5. The value of the card in the first person’s hand is written on the next line, it is 3. The value of the second person’s card is written on the next line, it is 1. In the table_out.txt file, print the order of people leaving the table. Sample scenario: table_in.txt 5 3 1 2 2 1 table_out.txt 1 4 2 3 5 Constraints N < 1,000,000 Do the solution in C/C++ with the Doubly Circular Linked List. Your codes should also be able to…arrow_forwardA particular telephone number is used to receive both voice calls and fax messages. Suppose that 20% of the incoming calls involve fax messages, and consider a sample of 20 incoming calls. (Round your answers to three decimal places.) (a) What is the probability that at most 6 of the calls involve a fax message?(b) What is the probability that exactly 6 of the calls involve a fax message?(c) What is the probability that at least 6 of the calls involve a fax message?(d) What is the probability that more than 6 of the calls involve a fax message?arrow_forwardA certain cat shelter has devised a novel way of making prospective adopters choose their new pet. To remove pet owners’ biases regarding breed, age, or looks, they are led blindfolded into a room containing all the cats up for adoption and must bring home whichever they pick up. Suppose you are trying to adopt two cats, and the shelter contains a total of N cats in one of only two colors: black or orange. is it still possible to pick up two black cats with probability ½, given that there is an even number of orange cats in the room? If so, how many cats should be in the room? How many black, how many orange?arrow_forward
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