Factorial of a number is defined as:    n! = n(n-1)(n-2)(n-3)...(2)(1)   For example, 4! = 4*3*2*1     The n! can be written in terms of (n-1)! as:   n! = n* (n-1)!   (n-1)! = (n-1)*(n-2)!   and so forth.     Thus, in order to compute n!, we need (n-1)!, to have (n-1)!, we need (n-2)! and so forth. As you may immediately notice, the base case for factorial is 1 because 1! = 1. Write a program that uses a recursive function called factorial that takes an integer n as its argument and returns n! to the main.

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A: Correct Option is A A-> IV B-> II C->I D-> V E->III

Q: Correct answer will be upvoted else downvoted. Computer science. You are given a positive…

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Q: 10. Let K be your birth year and let N be your 7-digit phone number. Use Euclid's Algorithm to find…

A: 10.

Q: ++i) { A. for (i = 0; i < 5n + 1; for (j = 0; j < 2*i + 1; ++j) sum += i + j; { } k

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Q: O(1) if n = 1 , T(n) = 8T (п/2) + Ө(n?) if n > 1.

A:

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Q: Using kotlin language Example Input 1 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 Example Output 3

A: Below is the program in kotlin

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A: Below I have provided a solution for the given question.

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A: The Time Complexity of the following code will be O(nlogn).

Q: f(n) — 103л+2 А. f(n) — О(9(n)) В. f(n) — N(9(п)) С. f(n) %3D Ө(9(n)) g(n) = 10"+7

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Q: Define P(n) to be the assertion that: n .3 n(n+ 1)(2n+1) Ej 6. j =1 Is P(3) true? O Yes O No

A: The solution for the above given solution is given below:

Q: : a. [(a mod n) - (b mod n)] mod n = (a - b) mod n

A:

Q: Indicate the run time complexity: for(int i = 1; i < n; i = i*2) y++; for(int i = 1; i < n; i = i*2)…

A: θ time complexity: It is an average time complexity of a particular program. It is correct…

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A: Answer is

Q: T(n) = T(n - 1) + 3n and T(0)=0. Then T(n) is e (n³1 e (n) e (n lg n) e (2")

A: Given question about  Recursive relation Find time complexity

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A: - We need to check for the number of times n mod d is calculated for n = 77.

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Q: 1. Which one of the following is true? 1. O(n) + 2(n) = 0(n) 2. O(n) + 0(n) = 2(n) 3. O(n) + 2(n) =…

A: True about the given functions

Q: Prove the following : Ei* = 0(n*+!). i=0

A: Below is the handwritten answer:

Q: Solve the recurrence using repeated substitution. (a) T(n) = T(n-1) +n (b) T(n) = 2T(n-1) + 1 (c)…

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Q: Find big θ for sum1 = 0; for (k=1; k<=n; k*=2) for (j=1; j<=n; j++) sum1++;

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Q: 5. State g(n)'s runtime complexity: int f(int n){ if(n <= 1){ return 1; } return 1 + f(n/2); } int…

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Q: Q5. What is the time complexity of following code? int a = 0; for (i = 0; ii; j--) { a = a + i + j;…

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Q: Algorithm

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Q: Question 5 Please answer them correctly by choosing one of the following answer

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A: Correct Answer is 3

Q: Functional iteration produces the cost T(n) = 1 + 2 + 3 + ... + n-1 + c*n Which is the proper…

A: Given data: T(n) = 1 + 2 + 3 + ... + n-1 + c*n

Q: DIS-algo (n): =========== r = 0 i = n* n while i 1 do for j = 1 to i do r = r + 1 i = 1/2 return r…

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