4. Write a greedy algorithm to solve the fractional knapsack problem.
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- Must be new solution and run on GNU Common Lisp! Using Lisp, write a program that solves the Missionaries and Cannibals problem that uses a DFS( depth first search). It should use (mac start end). Start is the current state (which can be (3 3 l) and End is the goal state (which can be (0 0 r). This should output the sequences of moves needed to reach the end state from the start state. This should print nil if there is no solution. For example, the call should be something like this! Call: (mac '(3 3 l) '(0 0 r)) Output: ((3 3 l) (2 2 r) (3 2 l) (3 0 r) (3 1 l) (1 1 r) (2 2 l) (0 2 r) (0 3 l) (0 1 r) (1 1 l) (0 0 r))Answer the given question with a proper explanation and step-by-step solution. Part 1: Implement the quickselect median algorithm Implement the median algorithm from test 1, which is called the "quickselect" algorithm (due to it's relationship to quicksort). Note, it can be used to find the i-th smallest element for any value of i, but we'll just use it to find the median (i = length/2) The algorithm uses the partition helper method (provided) to find the median. The partition method moves small elements, to the left side, and big elements to the right side. Finding the median requires moving all elements smaller than the median to the left half, and all elements greater to the right half. We can call repeatedly partition in a binary-search-like manner to quickly put the median in the right place. Implement the driver method public static int median(int[] arr) which returns the median value, and modifies the input array so all small elements are in the left half, and all big elements…1) In class we talked about an algorithm to find the Maximum Consecutive Subsequence with time complexity of Θ(?). Modify the algorithm to return the actual sequence and not only the sum. Write a pseudo-code for your algorithm.
- 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 methodsThere are various sorting algorithms available to sort data of different sizes. Three of these algorithms are Bubble sort, Shell sort, and Quicksort. In Python, write a program to generate random integer numbers of multiple sizes; 10000, 30000, 40000, 50000, and 70000, and find out which of these sorting algorithms perform the fastest sorting technique. Provide data to prove and support your findings or results by plotting a graph showing the time each takes to sort data of various sizes. It should be written in a single program. Write the code in python and also show the graphical result. Also do the proper identation of the code.Consider the following function:int enigma(NodeInt32* node){if(node == NULL)return 0; elsereturn 1 + enigma(node->next);}(a)The enigma function is recursive.A. True B. False
- #1: log (sub)2 (256) = ? #2: What case scenario of an algorithm does Big O notation analyze?# 1: log(sub)2 (256) = ? #2: What case scenario of an algorithm does Big O notation analyze?Artificial Intelligence (Part - 1) ==================== The Towers of Hanoi is a famous problem for studying recursion in computer science and searching in artificial intelligence. We start with N discs of varying sizes on a peg (stacked in order according to size), and two empty pegs. We are allowed to move a disc from one peg to another, but we are never allowed to move a larger disc on top of a smaller disc. The goal is to move all the discs to the rightmost peg (see figure). To solve the problem by using search methods, we need first formulate the problem. Supposing there are K pegs and N disk. (1) Propose a state representation for the problem?
- Question below 11. USE PYTHON LANGUAGE. READ INPUT FROM FILE (NAME THE FILE "input.txt') The problem needs to be solved using Greedy Algorithm Strategy. Jack and Jill’s parents decide to make their children do some house chores. So they list a set of activities that can be completed in a whole day. In order to complete each activity a certain amount of time (in hours) is required. The parents randomly call each of their children several times separately to choose from the given activities. In each call the children choose an activity based on the following conditions: In each call, each of them chooses one activity Jack has to choose an activity that has not been selected yet. Jill, being very little, should choose an activity that Jack has already chosen so that she can help her older brother because she cannot do such tasks by herself. Jack does not like doing chores, so he decides he would choose the activity that requires the shortest amount of time to complete among the…Write a c++ program By using a greedy change algorithm with the following coins {50, 25,10,5,1}. Suppose, there is a limitation in each of the currency items as follow: 50 there are only 2 items, 25 only 3, 10 only 3, 5 only 4, and 1 only 10. Find the change by entering three numbers in the sequence (77, 100, 26.)1. A certain computer algorithm executes four times as many operations when it is run with an input of size n as when it is run with an input of size n – 1. Here, n > 1 is an integer. When the algorithm is run with an input of size 1, it executes 12 operations. How many operations does the algorithm execute when it is run with an input of size 5? How many operations does the algorithm execute when it is run with an input of size n?