a) Design an efficient algorithm to solve this problem , and analyze its complexity [Important instruction: Create an arbitrary list of 10 lectures starting times and their corresponding ending times to provide full explanation of how your proposed algorithm should work step by step] b) Implement your efficient algorithm using Python Suppose you have a set of n lectures that need to be scheduled in classrooms. Each lecturehas fixed start and end times. You would like to use as few classrooms as possible toschedule all lectures.For example:Lectures 123459:00 11:00 11:00Starts: 9:00 9:00Ends:2:0010:30 12:30 10:30 12:30These lectures can be scheduled in 3 classrooms.61:002:30781:00 2:002:309103:00 3:004:30 4:30 4:30

Python:- Python is frequently used as a support language for software developers, for build…

a) Design an efficient algorithm to solve this problem , and analyze its complexity [Important instruction: Create an arbitrary list of 10 lectures starting times and their corresponding ending times to provide full explanation of how your proposed algorithm should work step by step] b) Implement your efficient algorithm using Python

a) Design an efficient algorithm to solve this problem , and analyze its complexity [Important instruction: Create an arbitrary list of 10 lectures starting times and their corresponding ending times to provide full explanation of how your proposed algorithm should work step by step] b) Implement your efficient algorithm using Python

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter5: Control Structures Ii (repetition)

Section: Chapter Questions

Problem 7PE

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You are given a string X of length n and another string Y of length m ≤n. Say,the indexes p1, p2, p3, p4 and q1, q2, q3, q4 form two sub-sequences, i.e., 0 ≤ p1 < p2 < p3 < p4 < nand 0 ≤q1 < q2 < q3 < q4 < n; then, they are non-overlapping if p4 < q1.The task is to count the maximum number of non-overlapping sub-sequences of X that are thesame as Y . Thus, if X = GAXTYAWBGTAUGBTABGRGTAXB and Y = GTAB, then the answer is3 as shown by the red fonts. We cannot select the underlined GTAB as it overlaps with a red GTAB(i.e., among overlapping sub-sequences, you can select only one of them).Describe an O(m + n) time algorithm to obtain the count. Write a pseudo-code.
We have a list that stores the repeated heart-rate measurements for the same patient over several tests. Each inner-list is a test and for that test, the heart rate is monitored for some time while taking a few measurements. Next, we would like to calculate the average of the measurements for each test.heart_rate = [ [ 72, 75, 71, 73], # resting[ 91, 90, 94, 93], # walking slowly[ 130, 135, 139, 142], # running on treadmill[ 120, 118, 110, 105, 100, 98]] # after minute recoveryIn your code, define a function calculate_average_heart_rates() that accepts the list heart_rate as its only input argument. Inside the function, use nested loops to calculate the average heart rate during each test scenario. This function should return a list that contains the average heart rate values of a patient for the four test scenarios.Write unit tests
Given a set of n types of rectangular 3-D boxes, where the ith box has height hi, width wi and depth di (all real numbers). Create a stack of boxes which is as tall as possible, but you can only stack a box on top of another box if the dimensions of the 2-D base of the lower box are each strictly larger than those of the 2-D base of the higher box. It is possible to rotate a box so that any side functions as its base. It is also allowable to use multiple instances of the same type of box. Precisely define the subproblem.Provide the recurrence equation.Describe the algorithm in pseudocode to compute the optimal value.Describe the algorithm in pseudocode to print out an optimal solution.
Write a program Minesweeper.java that takes three integer command-line arguments m, n, and k and prints an m-by-n grid of cells with k mines, using asterisks for mines and integers for the neighboring mine counts (with two space characters between each cell). To do so, Generate an m-by-n grid of cells, with exactly k of the mn cells containing mines, uniformly at random. For each cell not containing a mine, count the number of neighboring mines (above, below, left, right, or diagonal)
The Virtual Weight (VW) of an integer number (which consists of more than 1 digit) is the sumof the individual digits that are composing the number. For example, consider the followingtwo numbers; 5638 and 1145, then the VW of each is calculated as following:VW(5638) = 5+6+3+8 = 22VW(1145) = 1+1+4+5 = 11Then, the VW can be classified as L (mean Low) or H (means High) using a specific cut-offvalue. For example, if the cut-off value is 15, then the VW of the number 5638 is H (High),and the VW of the number 1145 is L because 22 > 15 and 11 ≤ 15 respectivelyWrite a C++ program that: reads a positive integer n (where 5≤n≤20) from the user. If the user enters invalidnumber, then the program should continue prompting until he/she enters a valid numberwithin the specified range. Then, the program should generate n random numbers using the built-in rand()function. Every time a random number is generated, the program will classify that number as Lor H using the above method. Use a…
Given N (2 <= N <= 100000) points and some integer K (1 <= K <= 1000). Your task is to find the largest set which is correlative to K. You can assume that only one largest set exists. N and K will be in the first line of the input. N lines will follow, each one with a single integer, representing the location of one of the points. Print the size of the largest set of points which is correlative to K, in the first line of the input. Remaining lines will contain the points of the set, one per line, in increasing order.
You are given a list of randomly arranged numbers, for example (11,7,18,5,17,13). The triple (11,7, 5) is called the "inversion triple" because (5<7<11) in terms of value, while the index of 5 in the list is greater than the index of 7, and the index of 7 is greater than 11. Therefore, we can find 2 inversions in such list as follows: (11,7,5), and (18,17,13). Your main task is to find the total number of inversions in any given list. a) Design a brute-force algorithm to return the number of possible inversions, and analyse the complexity of your solution b) Develop a python code to implement your brute-force algorithm. [The marks depend on the correctness of the code, indentation, comments, test-case] c) Design a more efficient algorithm to do the same task with less complexity, and analyse the complexity of your solution. [Important instruction to be followed: Create an arbitrary unsorted list of 8 characters and use it to provide full explanation of how your proposed…
there a N Book ,and M<N locations in a library .There are different ways in which these N books can be arranged in the location available.We will assume that the remaining book are put on the table The librarian ,Miss Boared-with-it-all goes about arranging these books in different ways all the time. You known,just to passthe time.Then she gets this bright idea to count the number the number of different ways that she can arrange all these books ,so that she hass something coll to fill into her appraised report.However , when she finally does computerthis number and starts to write it down ,she gets so lethargic she skips writing the trailing zero digits in the number .So now she wants you to WAP in java to count the number of digits she's skipped .Forexample 12340012000 ,then she only writes 12340012, i.e she skips writing the last three digit (three zeroes). So given N and M ,what's the number of digits that she does not write down? Input n M (two integer,single space separated)…
You are the sysadmin for a big tech company, and you have to estimate the amount of servers you need to handle some long-running jobs. One server can handle only one job at once. One job can only be executed by one server at once. Once a server has finished executing its current job, it can be reassigned to a new job. Given an array of time intervals intervals where intervals[i] = [starti, endi], representing the start and end time for a particular job that needs to be executed, return the minimum number of servers required to run all jobs. Constraints: 1 <= intervals.length <= 104 0 <= starti < endi <= 106 Function definition for Java: public int minMeetingRooms(int[][] intervals) { // Your code here } Function definition for Python: def minMeetingRooms(self, intervals: List[List[int]]) -> int: #Your code here Announced Test Cases: Input: intervals = [[0,30],[5,10],[15,20]] Output: 2Explanation: We need one server for the job that starts at 0. For the job…
Given a positive integer, N, the ’3N+1’ sequence starting from N is defined as follows:If N is an even number, then divide N by two to get a new value for NIf N is an odd number, then multiply N by 3 and add 1 to get a new value for N.Continue to generate numbers in this way until N becomes equal to 1For example, starting from N = 3 the complete ’3N+1’ sequence would be:3, 10, 5, 16, 8, 4, 2, 1Write code to ask the user to enter a positive integer (N) in the main() function. Write a function sequence()that receives the integer value N and display the ‘3N+1’ sequence starting from the integer value that wasreceived (entered by the user). The function must also count and return the numbers that the sequenceconsists of. The returned value must be displayed from the main() function.
Given an array of meeting time intervals consisting ofstart and end times [[s1,e1],[s2,e2],...] (si < ei),determine if a person could attend all meetings. For example,Given [[0, 30],[5, 10],[15, 20]],return false."""
Suppose a Genetic Algorithm uses chromosomes of the form x=abcdef with a fixed length of six 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) And let the initial population consist of four individuals x1, ... ,x4 with the following chromosomes : x1 = 3 5 3 2 6 5, x2 = 9 8 0 1 2 2, x3 = 1 2 2 1 2 3, x4 = 7 9 2 3 1 1 1. 1.Evaluate the fitness of each individual, showing all your workings, and arrange them in order with the fittest first and the least fit last. 2. calculate the average fitness. 3. Perform the following crossover operations:a- Cross the fittest two individuals using one point crossover at the middle point.b- Cross the second and third fittest individuals using a two point crossover (points b and e). Suppose the new population consists of the four offspring individuals received by the crossover operations in the above question. Evaluate the fitness of the new population, showing all your…