Assuming that the time of an algorithm is given by: f(n) = 3n + (√n + 5)^4. Which of the following is the complexity of that algorithm? c)O(n3) d)O(n4) b)O(n2) a)O(n)

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A: 1.for (j = 0;j < n; j=j+5)                                      // Execute n time2.     if (j…

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A: inner loop complexity - n^2 value of i       no. of iteration 0                      n^2 1…

Q: Question 3 Choose the incorrect option from the following: O An algorithm with O(n) time complexity…

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A: The answer is given below.

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Q: 0(n) 0 (4") 0 (16") Le(n) 0 (n²6)

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Q: e) nlogn? + log

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A: The answer for this question has been given below..

Q: Q2. time complexity of the following algorithm for n-1 to n ³²-1 do for ji+1 to n² do print j for K…

A: I have explained how to calculate the time complexity of above program. See below steps.

Q: b) Find an order for this algorithm segment from among the following: log, n, n, n - log2 n, n2, n,…

A: Given Algorithm for i := 1 to n for j := 1 to i x := 5 . i + 8 . j next j next i When i is 1 the…

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A: Answer:

Q: Q2. time complexity of the following algorithm for n-1 to n ³-1 do for ji+1 to n² do print j for K ²…

A: I have explained how to calculate the time complexity of above program. See below steps.

Q: The worst case time complexity of a quick sort algorithm? A. O(N) B. O(N log N) C. O(N2) D. O(log N)

A: The worst case time complexity of a quick sort algorithm.

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A: Algorithm Sumint a=23;           //declaring and initialization of variable aint b=5;…

Q: (int i 1; i <= 2 *r pr (int j = 1; j<= n; <=D %3B cout << 2 *i+ j;

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Q: i. 100n^3/5n+ 25n+ 7 = O(n) ii. n lg n +1000 n + n2 = θ(n)

A:

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A: Properties of red-black tree, red black trees require less rotation as compare to avl trees

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A: //first lets analyse the code for time complexity:s=0,sum=1 //runs in constant time :…

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A: Please check the step 2  for solution

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A: For the given growth-rate function: 8n3 - 9n The highest power term is 8n3.

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A: Answer - While calculating the time complexity of any program or algorithm. Need to know the time…

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A: In the given code the for loop executes for n times , so the statements in that for loop also…

Q: algorithms

A: Answer: The correct answer to the following question is option (b) "n log n"

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A: The correct order of above functions are : f1(n),f2(n), f4(n),f3(n)

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Q: The worst case time complexity of a quick sort algorithm? A. O(N) B. O(N log N) C. O(N2) D.…

A: Question. The worst case time complexity of a quick sort algorithm? A. O(N) B. O(N log N) C. O(N2)…

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A: I have given an answer in step 2.

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A: I have given a complete explanation below. See the below step.

Q: Bubble sort algorithm running time is? O O(1) O(N^2)

A: Introduction: Here we are given a MCQ type of question, in which we are asked the time complexity of…

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A: Answer:

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Q: Example 1: Input: 4 Output: 5 Explaination: 4=4 4=3+1 4=2+2 4=2+1+1 4=1+1+1+1 Example : Input: 7…

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Counting sort

The counting sort algorithm sorts an array’s contents by counting the repetition of each element that occurs in the array. A counting sort algorithm is a stable algorithm that works the best when the range of elements in the array is small, say for example from 0 to 9. The count which is the number of repetitions of an element in the array is mapped to an index of an auxiliary array, which is then saved in an auxiliary array. The counting sort algorithm has a stable time complexity of the order of O(size of array + size of auxiliary array). Let’s discuss the algorithm in detail as follows.