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- Design an algorithm to find the weighted average of four test scores. The four test scores and their respective weights are given in the following format: (9) test Scorel weight Test Scorel For example, sample data is as follows: 75 0.20 95 0.35 85 0.15 65 0.30*)Algorithm Implementation *)Growth CurveSolve 8 Puzzle problems using A* algorithm. Write the complexity of the algorithm.
- 1. Design an algorithm to find the weighted sum of four test scores (https://en.wikipedia.org/wiki/Weight_function). Assume that the weights have been accurately calculated in advance such that their sum equals one. Your algorithm must-read in the four test scores and four corresponding weights in the following order: score1 weight1 score2 weight2 score3 weight3 score4 weight4 Write your algorithm such that it can be run with any set of data values. However, you can test your algorithm on the following sample data to verify that the result is 70: 90 0.10 80 0.20 70 0.30 60 0.40 2. Write an algorithm that prompts the user for the radius, in inches, and price of a pizza, and then reads in those values. Finally, have the algorithm compute and output the pizza’s cost per square inch. 3. Sports exercise advisor algorithm. In this algorithm you will start out with a temperature value in Celsius, so you do not need to ask the user for it. First, convert the temperature to Fahrenheit.…Provide answer in C language please You are tasked with creating a program that takes in an array of integers and sorts them in ascending order using a custom sorting algorithm. The custom sorting algorithm should be based on the following rules: The sorting algorithm must use a divide-and-conquer approach. The sorting algorithm must be recursive. The sorting algorithm must have an average case time complexity of O(n log n). The sorting algorithm must have a worst case time complexity of O(n^2). The sorting algorithm must be stable, meaning that the relative order of equal elements should be preserved.Question 4 - Algorithm Design Imagine you are a treasure hunter standing at one side of the river. There are n (a positive integer) stones on the river. They are aligned on a straight line and at the nth stone, there is treasure waiting for you. Your target is to reach the nth stone. For each move, you have the choice of either walking (move one stone ahead) or leaping (move two stones ahead). Also, you are not allowed to travel backwards. Design an algorithm that calculates the number of ways (sequences of walks/leaps) that get you to the treasure stone. You should clearly explain the algorithm and demonstrate the correctness of the algorithm with a complete proof. Here is an example. For n = 1 5, there are 8 ways: Method 1: walk → walk → walk → walk → walk Method 2: walk → walk → walk → leap Method 3: walk → walk → leap → walk Method 4: walk → leap → walk → walk walk Method 5: leap → walk → walk → Method 6: leap → leap walk Method 7: leap → walk → leap Method 8: walk → leap leap
- (Data processing) a. Write an algorithm to locate the first occurrence of the name JEAN in a list of names arranged in random order. b. Discuss how you could improve your algorithm for Exercise 7a if the list of names were arranged in alphabetical order.Credit card numbers follow certain patterns: It must have between 13 and 16 digits, and the number must start with:■ 4 for Visa cards■ 5 for MasterCard credit cards■ 37 for American Express cards■ 6 for Discover cards In 1954, Hans Luhn of IBM proposed an algorithm for validating credit card numbers. The algorithm is useful to determine whether a card number is entered correctly or whether a credit card is scanned correctly by a scanner. Credit card numbers are generated following this validity check, commonly known as the Luhn check or the Mod 10 check, which can be described as follows (for illustration, consider the card number 4388576018402626): 1. Double every second digit from right to left. If doubling of a digit results in a two-digit number, add up the two digits to get a single-digit number. 2. Now add all single-digit numbers from Step 1. 3. Add all digits in the odd places from right to left in the card number. 4. Sum the results from Steps 2 and 3. 5. If the result from…Maximum Subsequence Sum Problem：Given a sequence of 10 integers： -10 1 2 3 4 -5 -23 3 7 -21. Use the third Algorithm to find the largest sum. Write the main steps.
- No copy paste answer plz Detailed answer will be UpvotedANALYSIS & DESIGN OF ALGORITHMS subject Three points P, Q, and R are said to be collinear if they are on a single line. To check whether the 3 points lie on the same line, we use the distance formula. If P, Q and R are three collinear points, then: Distance from P to Q + Distance from Q to R = Distance from P to R PQ + QR = PR The distance between two points (x1, y1) and (x2, y2) is given by Hence, we can easily find the distance between the points P, Q and R, with the help of this formula. Design an algorithm (pseudocode) to check whether three points are collinear. In your solution include the input and the output.Design and Analysis of Algorithms Consider the following description of a recursive algorithm:“The algorithm splits the input in three equal parts in constant time, process each part recursively and finally combines the solution in linear time”.Formulate a recurrence and solve it to compute total execution time of the algorithm.(Note: You can use any method for solving the recurrence.)
