Minimize Y = X,* X, – X2 – 2X3 + X1 1. Is this problem P or NP? Justify your answer. ! 2. Design a genetic algorithm to solve this problem (explain it in detail) and show the steps of one generation of it.;
Q: Perform the following crossover operations: One–point crossover, Two–point crossover, and uniform…
A: Let's understand step by step : One-point crossover : In one-point crossover a random point got…
Q: The following questions are independent. 1. A palindrome is a string that reads the same forward…
A: Answering the third question as per the instruction given in the question. Input : Set of 3…
Q: Draw a Turing Machine to compute the following function from natural numbers to natural numbers: f:…
A: Given : f:N→N : f(n)=3n-2
Q: What is the leading term for the following expressions and specify the lowest Big O Complexity for…
A: The fundamental rule to find the leading term is-- It is the term with the highest exponent. And on…
Q: Consider the following Turing machine M that replaces all ex of a binary string with ts:…
A: Explanation: Because starting from the left side and moving to the right side until a blank symbol…
Q: Q1. Design a Turing machine to count number of l's in the tape and write the output at beginning of…
A: Turing machine to count number of 1's
Q: How can we compare the time complexity of two algorithms? Elaborate its techniques along with pros…
A: Given: How can we compare the time complexity of two algorithms? Elaborate its techniques along with…
Q: a. Give three different examples of algorithms (with explanation) that run in logarithmic time.
A: (a) Examples of algorithm that run in logarithmic time- 1. Binary Search Algorithm: Time complexity…
Q: The 'P versus NP' problem is a major unsolved problem in computer science. It is an important…
A: Quantum computer are not oracles for BQP, but rather devices which process quantum states, and can…
Q: Select the asymptotic worst-case time complexity of the following algorithm: Algorithm Input: a1,…
A: On a finite number, the number of feasible Two Integers: Context-sensitive, Harmonic, and Adjectival…
Q: Given the following Turing machine M = (K. E. 3, s. (n), which input string (inscribed on tape)…
A: The question is on finding the correct option related to the given two questions.
Q: Under what circumstances might the A* algorithm fail even when using admissible heuristics? Give a…
A: Given: Under what circumstances might the A* algorithm fail even when using admissible…
Q: For each of the following decision problems, either sketch an algorithm or prove that the problem is…
A: Note : As per guidelines, answering 1st 3 subparts. Please repost other part.
Q: Select the asymptotic worst-case time complexity of the following algorithm: Algorithm Input: a1,…
A: Big O notation is a maths notation which helps in describing the limiting behaviour of a given…
Q: uppose a Genetic Algorithm uses chromosomes of the form x=abcdef with a fixed length of six genes.…
A: Genetic Algorithm It is a search-primarily based totally optimization approach primarily based…
Q: True or False? (a) If I prove that an algorithm takes O ( n 2 ) worst-case time, then it is possible…
A: Note : Answering the first three sub parts as per the guidelines. Task : Apply algorithm analysis…
Q: Q4. Suppose an algorithm has O(log n) complexity, where n is the size of a problem which is solved…
A: If the first system can solve the problem in 1 sec. Then let the speed of the system be x.
Q: Question 1.2 What is the time complexity of the following three algorithms? Express your answer in…
A: Task :- Identify the time complexity for given codes.
Q: How can we compare the time complexity of two algorithms? Elaborate its techniques along with pros…
A: Given: How can we compare the time complexity of two algorithms? Elaborate its techniques along with…
Q: Assuming the tape is pre-filled with nothing but zeros, how many transitions does this Turing…
A: Given: Goal: We have to discuss that when the above turning machine halts or what is the number of…
Q: Build a Turing Machine to compute the following function from natural numbers to natural numbers: f:…
A: Below i have drawn:
Q: For the following algorithms, find their i) worst-case complexity, ii) best-case complexity, and…
A: I. An algorithm that finds the largest number in a list of n numbers. Worst-case complexity: it is…
Q: 5.1. Find the computational complexity for ALGORITHM I? Justify your answer. 5.2. Does ALGORITHM II…
A: А Sоrting Аlgоrithm is used tо reаrrаnge а given аrrаy оr list elements ассоrding tо…
Q: 4. T(n) = 15n² – 9 log n is O(n²) %3D 5. T(n) = 4n log n – 17 is O(n log n)
A: Given expressions: T(n)=15n2-9log n T(n)=4nlog n -17 To prove: T(n)=15n2-9log n is θ(n2)…
Q: Select the asymptotic worst-case time complexity of the following algorithm: Algorithm Input: a1,…
A: Θ(n2) The third option is the correct answer.
Q: Recall the Babylonian Algorithm for calculating a square root that we discussed in class. What will…
A: The idea is, we are given S for which we want to find S we first make an estimate x of S if x is…
Q: Answer the following questions given the figure (topic is about the A* algorithm): Legend:…
A: Here's an Algorithm We create two lists – Open List and Closed List (just like Dijkstra Algorithm)…
Q: Question. What is the algorithm to solve the following problem? a. Given two DNA sequences from…
A: Answer a) Required Algorithm: Start Declare the DNA sequence as d1 and d2. Read the nucleotides…
Q: Using Genetic Algorithms, we are required to solve the problem of finding out what a good car is.…
A: Note: As, per our guidelines we can able to solve only one question at a time. So, please repost the…
Q: Consider the following Turing Machine for {a"b"c"}. Determine whether each of the following input…
A: Solution:-
Q: Dominant Term 0(?) Expression n²log2n + n(log2n)² nlog3n + nlog2n 3logsn + logzlog2log2n 0.001 n² +…
A: n2log2n + n(log2n)2 Every time the growth of Quadratic function is more dominating than…
Q: Algorithm 1 [WhoKnows(a1, a2, ..., an: integers)] 1: m := 0 2: for (i := 1 to n – 1) do 3: for (j :=…
A: Algorithm is a step-by-step procedure, which defines a set of instructions to be executed in a…
Q: Which set is not countable, i.e., has a cardinality strictly larger than | N |? A Q, the rational…
A: A ) Q , the relational number - is countable set The set of all relational Number is countable For…
Q: Consider the following algorithms and their associated statement counts: 1. Algorithm 1, Fn = 5n – 2…
A: Given data:-
Q: What does the above Algorithm computes? Is it a memorized algorithm? Justify your answer. Execute…
A: The given algorithm is: int bin(int n, int k){int i, j;int B[0..n, 0..k];for i= 0 to n for j =…
Q: The travel time function of an algorithm has the form: f(n) = 3n^2 + 4n + 8 Prove that Big Oh is…
A: Let g and f be functions, the function f is said to be O(g), if there is a constant c > 0 and a…
Q: .7. What is the correct answer to fill the blank in the algorithm marked Q.17? A. (Alp...rl, K) B.…
A: (A[p...m],K)
Q: 25. Suppose you have a computer that requires 1 minute to solve problem instances of size n = 1,000.…
A: Time complexities is defined as the total amount of time a program required to run. The lesser the…
Q: Construct a graph of the dependence of the execution time of the algorithm on the size of the input…
A: Note: Answering the question in python as no language is mentioned. Task : Plot the running time of…
Q: How can we compare the time complexity of two algorithms? Elaborate its techniques along with pros…
A: How can we compare the time complexity of two algorithms? Answer :- We compare the time complexity…
Q: Prove that the running time of an algorithm is ‚theta(g(n)) if and only if its worst-case running…
A: Lets see the solution.
Q: Algorithm X has a growth rate that is proportional to n ∗ n ∗ n . What is the function that…
A: The function that represents the growth rate of algorithm X is O(n^2) F(n) = an^2
Q: in theatheory of algorithms , what does NP stands for ?
A: Non-deterministic polynomial time (NP) is a phrase that refers to a set of issues and limitations on…
Q: Suppose a genetic algorithm uses chromosomes of the form x = abcdefghwith a fixed length of eight…
A: EXPLANATION As per guidelines we are allowed to answer only the first part. We request you to…
Q: John tells you that his algorithm runs in 0(n³+ n), and Bill says that the same algorithm runs in…
A: So, according to the question John says a particular algorithm runs in O(n3 + n) which is equivalent…
Q: Draw a Turing Machine to compute the following function from natural numbers to natural numbers:…
A: Below i have drawn:
Q: Write an efficient algorithm for the following problem, and describe your reasoning. Determine the…
A: Algorithm and Explanation Recursive polynomial-time algorithm to solve the Tower of Hanoi problem…
![Q1: Assume we have this equation
Minimize Y = X;* X, – X2 – 2X3 + X1
1. Is this problem P or NP? Justify your answer. !
2. Design a genetic algorithm to solve this problem (explain it in detail) and show the steps of one
generation of it. :](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50825fd4-04db-40ce-903a-dae4bc510e54%2Fa07e6d57-618c-4f41-853d-4445d579ce4a%2F6ar1btq_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
- A problem called S reduces to a problem called T if a T solver can be used as a subroutine to solve S. In pseudocode: Solves(...): ... SolveT(...) ... Assuming that this reduction is correct, answer the following questions regarding what the reduction tells us. If we know that an algorithm exists for solving Problem S, what does that tell us about Problem T? [ Select ] If we know that an algorithm cannot exist for solving Problem S, what does that tell us about Problem T? [Select ] [ Select ] An algorithm cannot exist for solving Problem TT. what does that tell us about Problem S? If we know An algorithm exists for solving Problem T Nothing [ Select] If we know that an algorithm cannot exist for solving Problem T, what does that tell us about Problem S? [ Select ]A problem called S reduces to a problem called T if a T solver can be used as a subroutine to solve S. In pseudocode: Solves(...): ... SolveT(...) ... Assuming that this reduction is correct, answer the following questions regarding what the reduction tells us. If we know that an algorithm exists for solving Problem S, what does that tell us about Problem T? [ Select] If we know that an algorithm cannot exist for solving Problem S, what does that tell us about Problem T? [ Select] If we know that an algorithm exists for solving Problem T, what does that tell us about Problem S? [ Select ] [ Select ] An algorithm cannot exist for solving Problem S,r solving Problem T, what does that tell us about Nothing An algorithm exists for solving Problem S1- Suppose a genetic algorithm uses chromosomes of the form X = abcdefgh with a fixed length of eight genes. Each gene can be any digit between 0 and 9. Let the fitness of individual X be calculated as: f(X) = (a + b)-(c+d) + (e+f) - (g+h) Let the initial population consist of 6 following chromosomes: I. II. III. X1 65413532 X2=87126601 X3=23921285 X4 418 52094 X5 83 931775 X6=52769863 Evaluate the fitness of each individual (show all stages). Then select 4 of them for next generation and write chromosomes which are selected. (Consider maximization.) Perform the following crossover operation on the initial population: Do crossover on X2 and X6 (parents) and name offspring as X7 and X8. Consider one-point crossover and the crossover point between "c" and "d". Write chromosomes X7 and X8. Evaluate offspring generated by crossover operation above (Chromosomes X7 and X8). Do their fitness are better than their parents?
- 1- Suppose a genetic algorithm uses chromosomes of the form X = abcdefgh with a fixed length of eight genes. Each gene can be any digit between 0 and 9. Let the fitness of individual X be calculated as: f(X) = (a + b)−(c+d) + (e+f) - (g+h) Let the initial population consist of 6 following chromosomes: I. II. III. X1=65413532 X2=87126601 X3 239 21285 X4=4185 2094 X5 83931775 X6=52769863 Evaluate the fitness of each individual (show all stages). Then select 4 of them for next generation and write chromosomes which are selected. (Consider maximization.) Perform the following crossover operation on the initial population: Do crossover on X2 and X6 (parents) and name offspring as X7 and X8. Consider one-point crossover and the crossover point between "c" and "d". Write chromosomes X7 and X8. Evaluate offspring generated by crossover operation above (Chromosomes X7 and X8). Do their fitness are better than their parents?Turing Machines 1. Let Turing machine, where Q = {q, 9, h}, E, = {a, b, o, 0}, and the transition function & is given by the following table: q o d(q, a) 9,a (q, b) q,b (q, a) 4,0 (h, D) 4.0 (q, -) 9,a (q, -) 9,b (q,-) 9,0 (9,-) 9,0 (9 -) (a) Trace the computation of M starting from the configuration (qo, aabbba). (b) Describe what M does when started in q, on any length of a tape.Correct answer will be upvoted else downvoted. Computer science. You are given three positive (more prominent than nothing) integers c, d and x. You need to track down the number of sets of positive integers (a,b) with the end goal that balance c⋅lcm(a,b)−d⋅gcd(a,b)=x holds. Where lcm(a,b) is the most un-normal various of an and b and gcd(a,b) is the best normal divisor of an and b. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Each experiment comprises of one line containing three integer c, d and x (1≤c,d,x≤107). Output For each experiment, print one integer — the number of sets (a,b) to such an extent that the above uniformity holds.
- Boolean Satisfaction Problem Boolean Satisfiability Problem (SAT) (https://en.wikipedia.org/wiki/Boolean_satisfiability_problem) is one of the most important problems in Computer Science. SAT is a problem that has NP-Complete complexity, where the only way to solve the problem is to try all the possibilities and check which one is correct. [LO 1, LO 2, LO 3 & LO 4,] Briefly describe how you used Backtracking to solve the Boolean Satisfiability Problem. Note that your solution must have exponential complexity. [LO 1, LO 2, LO 3 & LO 4,] Briefly explain how you use Strongly Connected Component (SCC) to solve the special case of the Boolean Satisfiability Problem, namely 2-SAT (https://en.wikipedia. org/wiki/2-SAT) . This solution has linear complexity. Solve the Subparts A&B thank u NOTE LO1: Explain fundamental concept of analysis arithms. LO2: Apply algorithm techniques and methods. LO3: Solve a problem using specific algorithm. LO4: Compare several algorithm design…Please solve max 30 minutes thank u Boolean Satisfaction Problem Boolean Satisfiability Problem (SAT) (https://en.wikipedia.org/wiki/Boolean_satisfiability_problem) is one of the most important problems in Computer Science. SAT is a problem that has NP-Complete complexity, where the only way to solve the problem is to try all the possibilities and check which one is correct. [LO 1, LO 2, LO 3 & LO 4,] Briefly explain how you use Strongly Connected Component (SCC) to solve the special case of the Boolean Satisfiability Problem, namely 2-SAT (https://en.wikipedia. org/wiki/2-SAT) . This solution has linear complexity. NOTE LO1: Explain fundamental concept of analysis arithms. LO2: Apply algorithm techniques and methods. LO3: Solve a problem using specific algorithm. LO4: Compare several algorithm design methodsFind the maximum value of the following function F(x)=2x3 , using the genetic algorithm, performing two iterations.
- a. Correctness of dynamic programming algorithm: Usually, a dynamic programming algorithm can be seen as a recursion and proof by induction is one of the easiest way to show its correctness. The structure of a proof by strong induction for one variable, say n, contains three parts. First, we define the Proposition P(n) that we want to prove for the variable n. Next, we show that the proposition holds for Base case(s), such as n = 0, 1, . . . etc. Finally, in the Inductive step, we assume that P(n) holds for any value of n strictly smaller than n' , then we prove that P(n') also holds. Use the proof by strong induction properly to show that the algorithm of the Knapsack problem above is correct. b. Bounded Knapsack Problem: Let us consider a similar problem, in which each item i has ci > 0 copies (ci is an integer). Thus, xi is no longer a binary value, but a non-negative integer at most equal to ci , 0 ≤ xi ≤ ci . Modify the dynamic programming algorithm seen at class for this…A hungry mouse wants to eat all four fruits in a maze such as the one below, in as few moves as possible.. At each turn the mouse can move any number of squares in one of the directions up, down, left or right, but it is not allowed to enter (or jump over) any walls (i.e., the black squares). Thus, the mouse moves just like a rook in chess. To eat a fruit, the mouse has to stop at that square. Assume that the maze has 4 fruits, and the size of b xh squares. 1. Give a suitable representatión of the states in this searching problem. 2. How many possible actions can the mouse perform at each move? (1.e., what is the branching factor?)4. Consider the following recursive algorithm. ALGORITHM Q(n) //Input: A positive integer n if n = 1 return 1 else return Q(n – 1) + 2 * n – 1 a. Set up a recurrence relation for this function's values and solve it to deter- mine what this algorithm computes. b. Set up a recurrence relation for the number of multiplications made by this algorithm and solve it. c. Set up a recurrence relation for the number of additions/subtractions made by this algorithm and solve it.
![Database System Concepts](https://www.bartleby.com/isbn_cover_images/9780078022159/9780078022159_smallCoverImage.jpg)
![Starting Out with Python (4th Edition)](https://www.bartleby.com/isbn_cover_images/9780134444321/9780134444321_smallCoverImage.gif)
![Digital Fundamentals (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780132737968/9780132737968_smallCoverImage.gif)
![C How to Program (8th Edition)](https://www.bartleby.com/isbn_cover_images/9780133976892/9780133976892_smallCoverImage.gif)
![Database Systems: Design, Implementation, & Manag…](https://www.bartleby.com/isbn_cover_images/9781337627900/9781337627900_smallCoverImage.gif)
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
![Database System Concepts](https://www.bartleby.com/isbn_cover_images/9780078022159/9780078022159_smallCoverImage.jpg)
![Starting Out with Python (4th Edition)](https://www.bartleby.com/isbn_cover_images/9780134444321/9780134444321_smallCoverImage.gif)
![Digital Fundamentals (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780132737968/9780132737968_smallCoverImage.gif)
![C How to Program (8th Edition)](https://www.bartleby.com/isbn_cover_images/9780133976892/9780133976892_smallCoverImage.gif)
![Database Systems: Design, Implementation, & Manag…](https://www.bartleby.com/isbn_cover_images/9781337627900/9781337627900_smallCoverImage.gif)
![Programmable Logic Controllers](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)