Introduction to Algorithms
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 30.2, Problem 3E
Program Plan Intro

To perform exercise 30.11 using the O(nlgn) time scheme.

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implement getbyte function. getByte(x,n) Extract byte n from word x   /* * getByte - Extract byte n from word x* Bytes numbered from 0 (LSB) to 3 (MSB)* Examples: getByte(0x12345678,1) = 0x56* Legal ops: ! ~ & ^ | + << >>* Max ops: 6*/int getByte(int x, int n) {return 2;}
We want to build 10 letter “words” using only the first n=9n=9 letters of the alphabet. For example, if n=5n=5 we can use the first 5 letters, {a,b,c,d,e}{a,b,c,d,e} (Recall, words are just strings of letters, not necessarily actual English words.) How many of these words are there in total? How many of these words contain no repeated letters? How many of these words start with the sub-word “ade”? How many of these words either start with “ade” or end with “be” or both? How many of the words containing no repeats also do not contain the sub-word “bed”?
Given a positive integer, N, the ’3N+1’ sequence starting from N is defined as follows: If N is an even number, then divide N by two to get a new value for N. If N is an odd number, then multiply N by 3 and add 1 to get a new value for N. Continue to generate numbers in this way until N becomes equal to 1. For example, starting from N = 3 the complete ’3N+1’ sequence would be:3, 10, 5, 16, 8, 4, 2, 1 Do the following: Write a code in C++ to ask the user to enter a positive integer (N) in the main() function. Write a function sequence() that receives the integer value N and display the ‘3N+1’ sequence starting from the integer value that wasreceived (entered by the user). The function must also count and return the numbers that the sequence consists of. The returned value must be displayed from the main() function. Example input and output is given in the following image.
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