3. (a) Consider the following algorithm.Input: Integers n and a such that n 20 and a > 1.(1) If 0 grows faster than each of the functions fi(n), f2(n), f3(n),....• For every integer i > 2, the function f:(n) grows faster than the function fi-1(n).The function2nNote: you must write down formulas for your functions (in terms of n) and prove thatyour functions have the required properties.(If you do not remember what "grows faster" means, see Definition 4.5 in the coursebook.)

We can answer one question in one go. So here I am answering part (a). (a) When n>=a, then only…

Answered: 3. (a) Consider the following…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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9. write algorithm to find the result of the following equation: (-х, х <0 x 2 0 f(x) =
e input is: 3 the output is: heads heads tails For reproducibility needed for auto-grading, seed the program with a value of 1. In a real program, you would seed with the current time. In that case, every program's output would be different, which is what is desired but can't be auto-graded. Note: A common student mistake is to seed before each call to random.randint(). But seeding should only be done once, at the start of the program, after which random.randint() can be called any number of times. Your program must define and call the heads_or_tails() function that randomly picks 0 or 1 and returns "heads" or "tails". Assume the value 0 represents "heads" and 1 represents "tails". i have this: import random def heads_or_tails(n): i=0 while i<n: random.randint(0,1) if num==0: print('heads') else: print('tails') i = i + 1 if __name__ == '__main__': random.seed(1) number_of_flips = int(input()) heads_or_tails(number_of_flips) it…
1. Both mergesort and quicksort uses divide and conquer paradigm to sort unsorted list. (a) Imagine you want to write the quicksort algorithm to sort an array into non-increasing order. Write down the partition algorithm that is used in the divide phase in the quicksort algorithm. Show that the time complexity of this algorithm is 0(n). (b) Identify the worst case situation in the naive quicksort algorithm and show that in the worst case situation its time complexity is O(n2)
Using recursion, write a function sum that takes a single argument n and computes the sum of all integers between 0 and n inclusive. Do not write this function using a while or for loop. Assume n is non-negative. def sum(n): """Using recursion, computes the sum of all integers between 1 and n, inclusive. Assume n is positive. >>> sum(1) 1 >>> sum(5) # 1 + 2 + 3+ 4+ 5 15 "*** YOUR CODE HERE ***"
Which is the base case for the following recursive function? void printOut( int n ) // Print nonnegative n { if( n >= 10 ) printOut( n / 10 ); printDigit( n % 10 ); } Group of answer choices A.if ( n >= 10 ) B.printOut( n/10 ); C.printDigit( n%10 ); D.if ( n >= 10) E.None of the above
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Given a positive integer 'n', find and return the minimum number of steps that 'n' has to take to get reduced to 1. You can perform any one of the following 3 steps:1.) Subtract 1 from it. (n = n - 1) ,2.) If its divisible by 2, divide by 2.( if n % 2 == 0, then n = n / 2 ) ,3.) If its divisible by 3, divide by 3. (if n % 3 == 0, then n = n / 3 ). Write brute-force recursive solution for this.Input format :The first and the only line of input contains an integer value, 'n'.Output format :Print the minimum number of steps.Constraints :1 <= n <= 200 Time Limit: 1 secSample Input 1 :4Sample Output 1 :2 Explanation of Sample Output 1 :For n = 4Step 1 : n = 4 / 2 = 2Step 2 : n = 2 / 2 = 1 Sample Input 2 :7Sample Output 2 :3Explanation of Sample Output 2 :For n = 7Step 1 : n = 7 - 1 = 6Step 2 : n = 6 / 3 = 2 Step 3 : n = 2 / 2 = 1 SolutionDp///.
Computer Science- AI- NLP - You are given a training set of 30 numbers that consists of 21 zeros and 1 each of the other digits 1-9. Now we see the following test set: 0 0 0 0 0 3 0 0 0 0. What is the unigram perplexity?
DO NOT USE AI! AI WILL NOT PASS THE TEST! Part I: Define a “word” as a maximal length sequence of alphanumerics. For example, in the line Hello, there! How are you? I am fine; how are you? My number is DE4-3656. the words are “hello”, “there”, “How”, “are”, “you”, “I” “am”, “fine”, “how”, “are”, “you”, “My”, “number”, “is”, “DE4”, and “3646”. Write a C program that reads lines from a file (you may assume it’s a text file) or files named on the command line, breaks them into words, stores the words in order (that is, ASCII order), and counts the number of times each word appears. Do not make any assumptions about the number of lines or words; but you may assume no word is over 256 characters long. When this is done, print the words and counts, as follows. This example is from the line above: 3646 (1) DE4 (1) Hello (1) How (1) I (1) My (1) am (1) are (2) fine (1) how (1) is (1) number (1) there (1) you (2) Call your file wordsort1.c. Hint: This is easiest done using a linked…

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3. (a) Consider the following algorithm. Input: Integers n and a such that n > 0 and a > 1. (1) If 0