Addition Rule Product Rule Log Exponent Rule Log Base Rule Transitivity In the following section, indicate what reference function (g(x)) we should use when attempting to prove that f(x) is O(g(x)). Use the rules and reference functions above to guide you. f(x)=n+log2n f(x)=n2+log n4 f(x)=n2∗n3 f(x)=n5/n2 f(x)=n∗(log n)∗n f(x)=n+n log n+log n

Addition Rule Product Rule Log Exponent Rule Log Base Rule Transitivity In the following section, indicate what reference function (g(x)) we should use when attempting to prove that f(x) is O(g(x)). Use the rules and reference functions above to guide you. f(x)=n+log2n f(x)=n2+log n4 f(x)=n2∗n3 f(x)=n5/n2 f(x)=n∗(log n)∗n f(x)=n+n log n+log n

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 6PE

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. avoid plagiarism Write a rule in Prolog called hailstone(x) that, given a positive integer x, returns the number of elements in the hailstone sequence starting with that x. So, for example, for n=35, the function would return 14.
Python Need help with code A rule has three parts: •name –a simple name for the rule (e.g., up, left, down, right) •precondition function –a Boolean function that accepts a state and returns true if the rule is applicable to state •action function –a function that accepts a state and returns the successor state obtained by applying the rule. You can use these rules to implement functions such as applicable-rule, which returns a list of the rules applicable to a given state, and successor-state, which returns the successor state for a given state and rule. Question: Encode the rules for the sliding-tile puzzle. Remember that it is easiest to consider moving the empty space up, left, down, or right. Using these rules, write routines to determine the rules applicable to a state and the successor state given a state and rule to apply. Note that you could implement these as iterators or have them return lists (or vectors) or rules and states.
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A palindrome is a string that reads the same both forward and backward. For example, the string "madam" is a palandrome. Write a program that uses a recursive function to check whether a string is a palindrome. Yourprogram must contain a value returning recursive function that returns true is the string is a palindrome andfalse otherwise. Do not use any global variables; use the appropriate parameters.
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Alert dont submit AI generated answer. Consider the following implementation of function multiply.int multiply ( int x , int n ) {if ( n <= 0 ) {return 0 ;}else {return x+m u l t i p l y ( x , n −1 ) ;}}a) Briefly explain why this implementation is not tail-recursive.b) Give a tail-recursive implementation in the C language. You might need todefine a helper function.c) Give an equivalent loop-based implementation of the same function in the Clanguage. You are only allowed to use a while loop for this question.
Question 1: Blood Donation For this question you will be writing a program to solve the same problem as Question 2 from Assignment 4. However, as described at the beginning of the assignment specification your solution for this assignment must not use explicit recursion. Since the purpose, contract, and examples would be identical to the solution for the Assignment 4. However, you are encouraged to properly document and fully test your solution. You are welcome to use code and tests from the model solution in your submission for this question. Here is the problem specification. Hospitals rely on donors to provide blood for people who are in accidents or scheduled for surgery. However, people have different blood types, and some blood types are compatible for donation and others are not. There are eight different blood types: O-, O+, B-, B+, A-, A+, AB-, AB+ The rules for blood donations are shown in a table from the Canadian Blood Services website. Here is a summary of that table: * A…