int p1(int n) { if (n 0) return 2022; == int ans = 1; for (int i = 0; i <= 2*n; ++i) // don't forget to count 2*n ans = ans * i * i; return ans * p1(n-1); }

Q: implement Running time algorithm Careful(n)  pre-cond: n is an integer.  post-cond: Q(n) “Hi”s are…

A: given data: pre-cond: n is an integer.  post-cond: Q(n) “Hi”s are printed for some odd function Q

Q: Find the maximum and the minimum elements for a set of n integers. With function using loops

A: #include &lt;iostream&gt; using namespace std;//function for finding minimum and maximum elementint…

Q: Write an algorithm for count even& odd numbers in given range

A: Given: Write an algorithm for count even&amp; odd numbers in given range

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A: According to the information given:- We have to Find the closed-form equation of T(n) using…

Q: w is in {a,b} * /

A: Solution - In the given question, we have to Construct a regular expression for L = { w is in {a,b}…

Q: Prove or disprove that, for any regular expressions R and S, (R*S*)* = (R + S)*

A: Answer: Proof: (R+S)* = (R*+S)* = R*(R+S)* = (R+SR*)* = (R*S*)* ( OR) -&gt; R,S belongs to R*S*…

Q: Problem 1: Give an asymptotic estimate for the number b(n) of “B”s printed by Algorithm PRINT_BS…

A: The O-notation which refers to the one it is generally used to explain the increase rate of a…

Q: A code C runs T seconds to obtain results for an input of size S. How to find the order of runtime…

A: Given Data : (a) (S1,T1), (S2,T2)(b) (S1,T1), (S2,T2), (S3, T3)

Q: Construct a regular expression for L = { w is in {a,b} * / |w| is divisible by 4 }

A: We need to construct a regular expression for the given language : L = { w is in {a,b} * / |w| is…

Q: O(nlgn) means that there is function f(n) that is O(nlgn) which is an upper bound for the running…

A: Big O notation characterizes functions according to their growth rates: different functions with the…

Q: Analyze the running time (i.e. T(n)) of these functions. You should be able to find some simple…

A: 1. Analyze the running time (i.e. T(n)) of these functions. You should be able to find some simple…

Q: Write a function that returns the real part of the dominant eigenvector of M(a 11*11matrix),…

A:

Q: e integer n, greater than 1, assign True to is_prime if n has no fators other than 1 and itself.…

A: The function is_prime take an integer ,count the number of factors from 1 to n . If the number of…

Q: Find a regular expression corresponding to each of the following subsets of {a,b}* (a) The set of…

A: Given: Subsets of {a,b}*

Q: The power function can be defined as follows: What is the worst-case running time complexity of…

A: So Below is the answer to this question. Time complexity is most important for every algorithm,…

Q: cant multiply sequence by non-int

A: The solution is given in the below step.

Q: Q: The sum of all minterms of a Boolean function of n variables is 1. Prove the above statement for…

A: Given: Q: The sum of all minterms of a Boolean function of n variables is 1. Prove the above…

Q: program to find sum. of square of n numbers

A: Approach: Set add = 0. Prompt user to enter the value of n. Input n. for loop from i=1 to n  Set…

Q: Let P(n) be the statement “the number 2^2n -1 is divisible by 3”. Use mathematical induction to show…

A: I have given solution in next step.

Q: Given (224), = (13), . The value of the radix'r is %3D

A: Solution for the given question is Given √(224)r=(13)r

Q: Algorithm 1 Algo1(n) Input: An integer n > 0 1: for i = 4 to n do j = 1 while j<n do Print(i + j³) j…

A: Given the algorithm,  what is the running time complexity , using n as input size .

Q: Calculate all matrices of order two such that: (a) its square is the null matrix; A? = A (b) are…

A: ALGORITHM:- 1. Declare a matrix A such that A^2=0. 2. Print the result for this. 3. Declare another…

Q: Which function grows faster f(n) = log 2n or g(n) = n0.3log3n

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Q: Construct a regular expression for L = { w is in {a,b} * / the number(count) of the symbol b in w is…

A: The language accepted by finite automata can be represented by some expression called as regular…

Q: for i=1 to n/2: for j-i to n-i : for k=1 to j do print("hello") Let T(n) denote the number of times…

A: Let's solve the question step by step: Answer (1) Understanding the loops First loop: It is running…

Q: For any integer n > 0, n! is defined as the product n * n - 1 *n - 2 ... * 2 * 1 O! is defined to be…

A: Note: Programming language is missing in the question. So we will answer this program in C language.…

Q: Write an iterative algorithm to find base r representation of a decimal number n. Analyse its time…

A: The statement:- Algorithm to find the base r representation of a decimal number n.

Q: Problem 3. Given an array A[1 : n] of n positive integers (possibly with repetitions), your goal is…

A: Answer: Algorithm: Positive Integers: start import header files using namespace std declare method…