. Using the graph below, implement the Breadth First Search algorithm considering the final state is eight(8) and the initial state is five(5) using the python programming language.   N.b Kindly add comments to your code ii.. Descriibe in summary how the algorithm was implemented.

i. Using the graph below, implement the Iterative Deepening Search algorithm considering the final state is six(6) and the initial state is zero(0) using the python programming language.   N.b Kindly add comments to your code ii.. Descriibe in summary how the algorithm was implemented.

2. R(N) is the running time of strange_sum when called on a List of length N. Since this is recursive code, your answer to iii should include a diagram of the recursion tree. a. Answer for li being an ArrayList b. Answer for li being a LinkedList static int strange_sum(List li) { return strange_sum_helper(li, 0, li.size() - 1); static int strange_sum_helper (List arr, int left, int right) { if (right - left < 0) return 0; else if (right else { int mid = (left + right) / 2; return strange_sum_helper(arr, left, mid) left 0) return arr.get(left); == + strange_sum_helper(arr, mid + 1, right); } }

ii.Building on your decomposition for part c.i., develop an algorithm for solving the problem. Include this algorithm in your solution document, and also write down your PI and the individual number that you have obtained via Steps 1–3 from your PI H5737055

1) Design an algorithm using DFS that detects whether graph G has a cycle. State and explain running time. Graph G need not be connected. Write in Pseudocode, please. 2) BFS refresher: Suppose you have an n × n chessboard and a knight placed in one of the squares. Youwould like to find out the fewest number of moves needed to reach a given target square. Design an algorithmfor this task stated formally below: Input: An n × n chess board, a starting square S, and a target square T.Output: The fewest number of moves a knight takes to move from S to T. Write in Pseudocode, please.