Give a big-O estimate for the number of operations, where an operation is an addition or a multiplication, used in this segment of an algorithm (ignoring comparisons used to test the conditions in the while loop). i := 1 t := 0 while i ≤ n t := t + i i := 2i

Q: if n <- 1 return arr [n] else for i in 2..n arr [i] <- arr [1-1] + arr [i-2] return arr[n] d) def…

A: The following function f uses recursion: def f(n): if n &lt;= 1 return n else return f(n-1) + f(n-2)…

Q: Answer question 1. There are two algorithms given in pseudo code.

A: Answer: Given: SP(x,n). Two parameters: x - non-zero real numbers - {-2,-1,0,1,2,....} n - natural…

Q: Use loops to create a n x m matrix in which the value of each element is the its row number minus…

A: A program is as follows, Code: clc;clear all; %Get the number of rows n = input('Enter the value of…

Q: Exercise: Find the function s(n) that indicates the number of sums performed by the following…

A: lets analyse given algorithm:for i=2 to n+1 do // runs for i=2 to n+1 //n times :possible i…

Q: algorithm,

A: Given :- An algorithm is mention in the above given question   Need to explain each steps as…

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: In the divided and conquer algorithm for computing the maxima set of a given set A of n points in…

A: The question is choose the correct options applicable for the question.

Q: 2. A celebrity among a group of n people is a person who knows nobody but is known by everybody…

A:

Q: Procedure for square root - Similar to division restoring method 91 92 93 94 1 0 1 =Q = 13 10 10 10…

A: According to the asked question, the solution is given below with a proper explanation.

Q: The number of permutations of a set of n items taken r at a time is given by the following…

A: Program code: //include the required header file #include&lt;iostream&gt; using namespace std;…

Q: the value of factor(P/F,i,10) can be found by getting the factor values for(P/F,i,4) and(P/f,i,6)and…

A: The value of factor (P/F,i,10) = 1(1+i)n = 1(1+i)10 The factor value of (P/F, i,4) = 1(1+i)4 The…

Q: 4. For each of the algorithms below, (i) give a big-O estimate for the number of iterations each…

A: Solution:   Given,

Q: Use a pseudo programming language to find the largest number (Maximum element) among a1,…

A: Pseudo Programming Language or Pseudo code can be defined as a method that helps the programmer in…

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: Complete the MAX_LinSpline function below. Please read the doctring carefully to make sure the…

A: In this question we have to write a MATLAB code for the given program description for completion of…

Q: Q.No.2. Consider 3 , 5 , 8 , 10 , 5 , 2 , 1 ,7, 3, 13 as an input to the list of n integers. Dry run…

A: CODE: /******************************************************************************…

Q: 0; s + for i + 2 to 6n² do 1 2 for j 3 to n do for k + 1 to n do s + s + i –j + k; end 3 4 5 7 end…

A: We need to find time complexity.

Q: What is the time complexity of loop given below: for(int i=0;i<n;i++){ for (int j=0;j<n;j++){…

A: The term time complexity means that for how many times a particular statement got executed. In the…

Q: Show that the function S(n) =3nj+ is O(n).

A: Here have to determine about giving function from that time complexity.

Q: Convert to Reverse Octal:

A: I have provided PYTHON CODE along with CODE SCREENSHOT and  OUTPUT SCREENSHOT...

Q: Iterative Fibonacci (while loop, perils of integer arithmetic) The Fibonacci sequence defined by…

A: Please refer below for your reference: Language used is MATLAB:

Q: Euclid’s Algorithm states the following: gcd(a, b) - a and b are integers b ≠ 0 r is the remainder…

A: Euclid's algorithm is a fundamental technique that is used to discover the greatest common divisor…

Q: Give an overview of the analysis of the aho-Corasick algorithm for running time and memory…

A: Answer: aho-Corasick algorithm analysis is the valid for given text and then match the pattern so we…

Q: Find the complexity of the given loop by counting the number of iterations for n = 100 and n = 1000.…

A: Here in this question we have given a code segment and we have asked to find the complexity of loop…

Q: The following function f uses recursion: def f(n): if n 0 a <- a + i + (i-1) return a c) def f(n):…

A: The Fibonacci sequence is a series of numbers where a number is the addition of the last two…

Q: (a) A composite number is a positive integer that has at least one divisor other than 1 and itself.…

A: Combinational circuit, there are four inputs A,B,C, and D, only one output Z

Q: Algorithm Prime2 (n: integer):{T,F};           prime = T; d=2; while d < n/2 and prime = T do…

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

Q: You have to run Prim's algorithm for the problem defined by adjacency matrix: 1 1 0 10 39 29 4 5 6 7…

A: Prim's algorithm is a greedy algorithm used to find a minimum spanning tree for a weighted…

Q: There are n different sizes of boxes, from 1 to n. There is an unlimited supply of boxes of each…

A: Hi there, Please find your solution below, I hope you would find my solution useful and helpful.…

Q: procedure gcd(a, b: positive integers) x:= a y:= b while y #0 r:=x mod y x := y y := r return x…

A: Loop invariants: These are generally constructed and utilized when the dry run of a program is…

Q: Let recursive algorithm F be defined as follows: F(int n): if n=1 then     return 1 else    return…

A: - According to the guidelines we are allowed to answer only the first question.   - The given…

Q: ALGORITHM S(n) //Input: A positive integer n //Output: The sum of the first n cubes if n = 1 return…

A: Given: ALGORITHM S(n)//Input: A positive integer n//Output: The sum of the first n cubesif n = 1…

Q: e coefficients of Bézout's identity. """ def extended_gcd(num1, num2):     """Extended GCD…

A: The function extended_gcd takes two input parameters: num1 and num2, representing the two numbers…

Q: compute the division of a dividend X = 14 = (1110) and a divisor D = 6 = (0110).

A: Use the non-restoring division algorithm to compute the division of a dividend X = 14 = (1110)…

Q: Analysis of Algorithm - Part 2 of 3: first 10 terms In the remaining questions you will use…

A: Explanation:  The function f(n) takes an integer n as input. The function first checks if n is equal…

Q: Given a sorted array of N+2 integers between 0 and N with exactly one duplicate, design a…

A: We can find the duplicate element in the array using binary search. If an element ‘N’ is repeating,…

Q: Example: Write an values (w/o temp var) algorithm to takes two numbers and swap their

A: Swapping a number is exchanging a value between the variables. For example, a= 10, b = 20 then after…

Q: You have to run Prim's algorithm for the problem defined by adjacency matrix: 1 2 3 4 5 6 7 8 9 1 0…

A: Prim's algorithm is a greedy algorithm that finds a minimum spanning tree for a weighted undirected…