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- Consider the following problems for recursive definition/solution. Answer the following questions. [Remember that a recursive definition/solution requires base case and recursive case] We learned that its power set has 2" elements when a set has n elements. Define it in a recursive solution.Code in C++ only. Correct answer will upvoted else downvoted. framework of size n×m, with the end goal that every cell of it contains either 0 or 1, is considered lovely if the total in each adjoining submatrix of size 2×2 is actually 2, i. e. each "square" of size 2×2 contains precisely two 1's and precisely two 0's. You are given a network of size n×m. At first every cell of this network is unfilled. How about we indicate the cell on the crossing point of the x-th line and the y-th segment as (x,y). You need to handle the inquiries of three sorts: x y −1 — clear the cell (x,y), in case there was a number in it; x y 0 — compose the number 0 in the cell (x,y), overwriting the number that was there already (assuming any); x y 1 — compose the number 1 in the cell (x,y), overwriting the number that was there beforehand (assuming any). After each question, print the number of ways of filling the unfilled cells of the grid so the subsequent network is delightful. Since the appropriate…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))
- A. Construct a RECURSIVE solution for following iterative solution to find a value in a circular-linked list B. Analyze the runtime complexity (correctly explain the scenario, show how much work would be done, and represent the work using asymptotic notations, i.e. big O), of the given iterative solution and your recursive solution for the best case scenario and the worse case scenario. C. prove the correctness of your recursive solution by induction /**@param value - a value to search for@return true if the value is in the list and set the current reference to itotherwise return false and not updating the current reference*/public boolean find(T value){ if(this.cur == null) return false; //get out, nothing is in here Node<T> tmp = this.cur; //start at the current position if(tmp.data == value) return true; // found it at the starting location tmp = tmp.next; //adv. to next node, if there is one while(tmp != cur) { if(tmp.data == value){ this.cur = tmp;…Problem 1. Construct a non-recursive procedure capable of reversing a single linked list of n elements, which runs in O(n) time. Can the same be achieved in (n) time? If so, construct it.Question in image. Please solve by explaining. Question 2.1 writing a Python Fibonacci function should be implement using recursion method.
- Give a recursive definition for the set of all strings of a’s and b’s where all the strings are of odd lengths. (Assume, S is set of all strings of a’s and b’s where all the strings are of odd lengths. Then S = { a, b, aaa, aba, aab, abb, baa, bba, bab, bbb, aaaaa, ... )Consider the following scenario in which recursive binary search could be advantageous. What would you do if you found yourself in such a situation? What is the first requirement that a recursive binary search must satisfy?Many of the coding interview problems deal with permutations and combinations of a given set of components.1. Backtracking Method: When the subset is added to the resultset, each response is backtracked in this recursive process.An extra array subset's space and time complexity are O(n), respectively (2n). solve the aforementioned issue with Java
- Correct answer will be upvoted else downvoted. Computer science. You are given a grid a comprising of positive integers. It has n lines and m segments. Develop a framework b comprising of positive integers. It ought to have a similar size as a, and the accompanying conditions ought to be met: 1≤bi,j≤106; bi,j is a various of ai,j; the outright worth of the contrast between numbers in any nearby pair of cells (two cells that share a similar side) in b is equivalent to k4 for some integer k≥1 (k isn't really something similar for all sets, it is own for each pair). We can show that the appropriate response consistently exists. Input The primary line contains two integers n and m (2≤n,m≤500). Every one of the accompanying n lines contains m integers. The j-th integer in the I-th line is ai,j (1≤ai,j≤16). Output The output ought to contain n lines each containing m integers. The j-th integer in the I-th line ought to be bi,j.Consider the following problems for recursive definition/solution. Answer the following questions. [Remember that a recursive definition/solution requires base case and recursive case] 3.1. We learned that its power set has 2" elements when a set has n elements. Define it in a recursive solution. 3.2. Consider a set of odd natural numbers. Make a recursive definition for the set. 3.3. Consider a list of numbers A = {55,12,53,56,24,1,7,42}. Sort is by using Merge Sort. Show each step in dividing the list and conquering/combining it.Write a complete C++ program that implements the Breadth First Search (BFS) Algorithm (Chapter 22). Your final submitted code and report should include some sample results that demonstrate that your code is successfully and correctly working. You need to present 3 samples. - You must ask the user to enter the number of vertices n for your graph, and go over the source vertices or nodes in numerical or alphabetical order. - Based on the number of vertices, randomly generate the edges. - Assume you are using the Adjacency Matrix to represent your graph. Assume you have an un-directed graph. Make sure that you ask the user to enter the number of vertices, Fixed number of vertices is not accepted. Use numeric numbers to name the vertices. Based on the number of vertices entered by the user, randomly generate the edges connected the vertices. Assume that you only allow undirected edges or undirected graph. Apply the BFS algorithm on the generated graph. Organize the resulted BFS…