Because the algorithm for leveled graphs with advice only recurses once per stack frame, it is easy to turn it into an iterative algorithm. The algorithm is a lot like a greedy algorithm. In that it always knows which greedy choice to make. Design this iterative algorithm.
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Because the
once per stack frame, it is easy to turn it into an iterative algorithm. The algorithm
is a lot like a greedy algorithm. In that it always knows which greedy choice to make.
Design this iterative algorithm.
Step by step
Solved in 3 steps
- How to implement Floyd algorithm and Dijkstra algorithm. These two algorithms must be implemented with linked list for an input graph. Note: You are not allowed to use dynamic allocation features of your programming language. For example, in Python you are not allowed to use array, list, or dictionary. This means that you must implement your own linked list. The input is stored in a .csv file like this: You have to read data from file. The intersection names and the maps are for visualization only and you do not need to create or print them. PLEASE USE JAVA!!!You are given an array in which each number from 1 to N appears precisely once, with the exception of one missing number. In O(N) time, how can you locate the missing number? There are steps in hill-climbing algorithms that make a lot of progress and steps that make very little progress. For example, the first iteration on the input in Figure 15.2 may uncover a path across the augmentation graph that can be used to add a flow of 30. It may, however, discover a way via which only a flow of two may be added. How long would the calculation take if it is unfortunate enough to always take the worst allowable step permitted by the algorithm?Start by taking the step that increases the flow by 2 for the input . Then continue to take the worst possible step. You could draw out each and every step, but it is better to use this opportunity to use loop invariants. What does the flow look like after i iterations? Repeat this process on the same graph except that the four edges forming the square…The function Ecol_M M in the Python programme that implements this approach discovers the minimum edge colours for a graph that is passed to it in the form of an incidence matrix. To discover the maximal matching in the graph, we utilise the Maximal Match function from the earlier constructed module MATCH within this function. The list edges is used to retain uncolored edges, while the list edge color is used to hold the current edge colours. The while loop continues to run until the edges list is empty, at which point all edges have been coloured. At each iteration, the graph is reduced by removing the columns associated with the matched edges.
- A linked list contains a cycle if, starting from some node p , following a sufficient number of next links brings us back to node p . p does not have to be the first node in the list. Assume that you are given a linked list that contains N nodes. However, the value of N is unknown. Design an O (N ) algorithm to determine if the list contains a cycle. You may use O (N ) extra space. Repeat part (a), but use only O (1) extra space. (Hint: Use two iterators that are initially at the start of the list, but advance at different speeds.)AvgCompares(), a recursive function that calculates the average number of comparisons needed by a random search hit in a given BST (the internal path length of the tree divided by its size plus one), should be added to the BST. Create two implementations: a recursive method that adds a field to each node in the tree and takes linear space and constant time every query, and a method similar to size() that takes linear space and constant time per query.Azra wants to check a list contains a even number or not. But she does not have knowledge about the loops . So your task without using loop check if a list has a single even element or not and print according to that. In elixir programming language
- Given a list of integers, we want to know whether it is possible to choose a subset of some of the integers, such that the integers in the subset adds up to the given sum recursively. We also want that if an integer is chosen to be in the sum, the integer next to it in the list must be skipped and not chosen to be in the sum. Do not use any loops or regular expressions. Test cases: skipSum([2, 5, 10, 6], 12) true skipSum([2, 5, 10, 6], 7) false skipSum([2, 5, 10, 6], 16) false Given code: public static boolean skipSum (List list, int sum) { // call your recursive helper method return skipSumHelper (list, e, sum); 1. 2. 3. 4.This assignment is an exercise in finding the average-case complexity of an algorithm.Rather than looking at how long an algorithm can run in the worst case as in worst-case analysis, we are looking at how long an algorithm runs on average. This is doneby computing the average number of comparisons and operations executed until thealgorithm ends.Bogosort is a sorting algorithm that orders a list in increasing order by taking thelist, checking to see if the list is ordered increasingly, if the list is not ordered increasinglythen the list is randomly shuffled, and then repeating this process until the list is orderedincreasingly.Expressed in pseudocode:Algorithm 1 BogosortRequire: list: a1, a2, . . . , an of real numbersEnsure: list is sorted in increasing order1: procedure bogo(list)2: while not sorted(list) do ▷ Checks to see if list is sorted3: shuffle(list) ▷ Shuffle the current list if not sorted4: end while5: end procedure We will now find the average-case time complexity for…This assignment is an exercise in finding the average-case complexity of an algorithm.Rather than looking at how long an algorithm can run in the worst case as in worst-case analysis, we are looking at how long an algorithm runs on average. This is doneby computing the average number of comparisons and operations executed until thealgorithm ends.Bogosort is a sorting algorithm that orders a list in increasing order by taking thelist, checking to see if the list is ordered increasingly, if the list is not ordered increasinglythen the list is randomly shuffled, and then repeating this process until the list is orderedincreasingly.Expressed in pseudocode:Algorithm 1 BogosortRequire: list: a1, a2, . . . , an of real numbersEnsure: list is sorted in increasing order1: procedure bogo(list)2: while not sorted(list) do ▷ Checks to see if list is sorted3: shuffle(list) ▷ Shuffle the current list if not sorted4: end while5: end procedure Problem: Consider the Bernoulli trial where a success is…
- Question Given a singly linked list, you need to do two tasks. Swap the first node with the last node. Then count the number of nodes and if the number of nodes is an odd number then delete the first node, otherwise delete the last node of the linked list. For example, if the given linked list is 1->2->3->4->5 then the linked list should be modified to 2->3->4->1. Because 1 and 5 will be swapped and 5 will be deleted as the number of nodes in this linked list is 5 which is an odd number, that means the first node which contains 5 has been deleted. If the input linked list is NULL, then it should remain NULL. If the input linked list has 1 node, then this node should be deleted and a new head should be returned. Sample 1: Input: NULL output: NULL. Sample 2: Input: 1 output: NULL Sample 3: Input: 1->2 output: 2 Sample 4: Input: 1->2->3 output: 2->1 Sample 5: Input: 1->2->3->4 _output: 4->2->3 Sample 6: Input: 1->2->3->4->5->6 output: 6->2->3->4->5. Input: The function takes one argument…Write and implement a recursive version of the binary search algorithm. Also, write a version of the sequential search algorithm that can be applied to sorted lists. Add this operation to the class orderedArrayListType for array-based lists. Moreover, write a test program to test your algorithm.The intersection of two sets contains the list of elements that are common to both, without repetition. As such, you are required to write an algorithm that finds and returns the intersection of two sets A and B. The sets A and B and the resulting intersection set are all lists. Assume the size of A is n and that of B is m. (a) Write an iterative algorithm that finds the intersection. (b) Prove the correctness of your algorithm; i.e. state its loop invariant and prove it by induc- tion. (c) Analyze the time complexity of your algorithm. (d) Think of a way to enhance the complexity of your algorithm by sorting both lists A and B before calculating their intersection. Write the enhanced version and prove that it has a better time complexity.