Exercise 5: A smaller rowboatIn the traditional version of this puzzle the robot can only fit one thing on the boat with it. The state space is still the same, but fewer transitions are possible.Using the diagram with the possible states below as a starting point, draw the possible transitions in it (it is MUCH easier to do this with a pencil and paper than without).Having drawn the state transition diagram, find the shortest path from NNNN to FFFF, and calculate the number of transitions on it.Please type your answer as the number of transitions in the shortest path (just a single number like "12"). Do NOT include any further description of your solution. Hint: Do not count the number of states, but the number of transitions. For example, the number of transitions in the path NNNN→FFNF→NFNF→FFFF is 3 instead of 4.

The maximum number of transition which can be performed over a state in a DFA where alphabet set is {a,b,c}a.3b.4c.2d.1

onsider the following 8-puzzle problem, answer the questions below.(i)           Draw state space for solving the above 8-puzzle.(ii) Suppose we define heuristic function for this problem as the number of tiles, which are out of place at a given state. For example, in the initial state the tiles 2, 8, 1, 6, 7 are in out of place. Therefore, h(initial) = 5.   And g(n) is defined as the number of levels passed in the state space, g(initial) = 0 By defining f(n) = g(n) + h(n), calculate f(n) for each node in the state space. Hence find the traversal for exploring the state space by the following algorithms. (a) Greedy Search(b) A* Search

Consider regular expression (0+1)^n. How many number of states will be required for the minimized FA where all inputs transitions on states are shown.Select one:a. N-1b. Nc. N+2d. N+1

Quiz Question Consider the Markov chain with transition diagram345210.10.50.50.60.30.50.20.40.30.50.50.20.4i.e., with transition matrixP =0.6 0.4 0 0 00.5 0.5 0 0 00 0.5 0 0.5 00 0.5 0.3 0 0.20 0.1 0.2 0.4 0.3 .(a) Starting from state 5, what is the most likely two-step path? What is the probability(starting from state 5) of following that two-step path?(b) In this Markov chain, can you get from every state to every other state eventually?

A particle moves in a circle through points that have been marked 0, 1, 2, 3, 4 in a clockwise direction.order. The particle starts at point 0. At each step it has probability 0.35 of moving one point clockwise (0follows 4) and 0.65 of moving one point counter clockwise.Let Xn denote its location on the circle after step n.a). Construct the one step transition matrix for Xn.b) . Determine n-step transition matrix for n =5.