Q1: Consider the Sliding-tile Puzzle that we explained in our lectures and solve the following Questions:- Generate the State Space Graph of this game starting from the state given bellow. • Describe the shortest path or set of actions that can be used to reach the goal as shown in the figure bellow 7 2 8 3 Start State Goal State Q2: Assume we have a robot in the Vacuum-world Problem which described in our lectures. If we extend the environment of this problem to be three squares instead of two squares (described in this

Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. society can be addressed by an associated, undirected chart of n vertices and m edges. The vertices address individuals, and an edge (i,j) addresses a companionship between individuals I and j.    In the public eye, the I-th individual has a pay artificial intelligence. An individual I is desirous of individual j if aj=ai+1. That is if individual j has precisely 1 more unit of pay than individual I.    The general public is called entrepreneur if for each pair of companions one is desirous of the other. For certain fellowships, you know which companion is jealous of the other. For the leftover fellowships, you don't have the foggiest idea about the bearing of jealousy.    The pay imbalance of society is characterized as max1≤i≤nai−min1≤i≤nai.    You just know the fellowships and not the livelihoods. In case it is outlandish for this general public to be industrialist with the given…

There are many applications of Shortest Path Algorithm. Consider the problem of solving a jumbled Rubik's Cube in the fewest number of moves. I claim that this problem can be solved using a Shortest Path Algorithm. Determine whether this statement is TRUE or FALSE. NOTE: if you want to check if this statement is TRUE, think about how the Rubik's Cube Problem can be represented as a graph. What are the vertices? Which pairs of vertices are connected with edges? What is your source vertex and what is your destination vertex? How would Dijkstra's Algorithm enable you to find the optimal sequence of moves to solve a jumbled cube in the fewest number of moves?

Please answer this question in 10 mins I will upvote your answer this question. Imagine a maze that consists of an n x n grid of cells. You can move from a cell to its neighbor provided there is no wall obstructing your path in that direction. Your goal is to find a path from the top right cell in the maze to the bottom left cell. a) Explain how finding a path through this maze can be represented as a graph problem. Clearly explain what the nodes and edges in your graph formulation correspond to in terms of the structure of the original maze. You may include a diagram or a sketch to explain your reasoning. b) using c++, implement an algorithm to find if a given maze has a solution (i.e., if it has a path that connects the top right cell to the bottom left cell). If it has a solution, the algorithm should return this path. If there is more than one possible solution, your algorithm should return any one of those possible paths. If there is no solution to the maze, return a special…

Suppose that you have a maze search problem. From each numbered square in the maze, youmay move that exact number of squares horizontally or vertically in a straight line. Startingat a particular square (e.g. the top-left corner), find a path to the goal square marked "G".3 4 1 3 1 3 3 3 G 2 3 1 2 2 3 4 2 3 3 3 4 1 4 3 2 Describe the State Space components of this problem. Then solve the problem using breadthirst search and the depth first search. Hint: Indicate the changes to the Open and ClosedQueues in solving this problem for each type of search.

A weighted, directed graph is a suitable representation to represent the daily airline routes flown by a small airline. The airline have the following daily flights: - Three flights from Cape Town to Johannesburg, - Two flights from Johannesburg to Cape Town. - Four flights from Johannesburg to Durban. - Three flights from Durban to Johannesburg. - One flight from Johannesburg to George. - One flight from George to Johannesburg.   Draw a graph that represents this problem

Question 1: In graph theory, a graph X is a "complement" of a graph F if which of the following is true?   Select one:   a. If X is isomorph to F, then X is a complement of F.   b. If X has half of the vertices of F (or if F has half of the vertices of X) then X is a complement of F.   c. If X has the same vertex set as F, and as its edges ONLY all possible edges NOT contained in F, then X is a complement of F.   d. If X is NOT isomorph to F, then X is a complement of F.   Question 2: Which statement is NOT true about Merge Sort Algorithm:   Select one:   a. Merge Sort time complexity for worst case scenarios is: O(n log n)   b. Merge Sort is a quadratic sorting algorithm   c. Merge Sort key disadvantage is space overhead as compared to Bubble Sort, Selection Sort and Insertion Sort.   d. Merge Sort adopts recursive approach

Please answer the following question in depth with full detail. Consider the 8-puzzle that we discussed in class. Suppose we define a new heuristic function h3 which is the average of h1 and h2, and another heuristic function h4 which is the sum of h1 and h2. That is, for every state s ∈ S: h3(s) =h1(s) + h2(s) 2 h4(s) =h1(s) + h2(s) where h1 and h2 are defined as “the number of misplaced tiles”, and “the sum of the distances of the tiles from their goal positions”, respectively. Are h3 and h4 admissible? If admissible, compare their dominance with respect to h1 and h2, if not, provide a counterexample, i.e. a puzzle configuration where dominance does not hold.

Computer Science You are told that state machine A has one input x, and one output y, both with type {1, 2}, and that it has states {a, b, c, d}. You are told nothing further. Do you have enough information to construct a state machine B that simulates A? If so, give such a state machine, and the simulation relation.