A race in a hedge maze! You are determined to win even at the cost of a little...shortcut, which the rules forgot to mention. However, you are not willing to crawl through the hedge more than once, because someone might see you and...misunderstand. The maze is described as a graph with a start, goal, edge lengths, and two types of edges: regular paths in the maze, and hedges which one can crawl through. (Some parts of the maze are too thick to crawl through.) Design an algorithm which finds the shortest path to the goal, as quickly as possible.
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- A hungry mouse wants to eat all four fruits in a maze such as the one below, in as few moves as possible.. At each turn the mouse can move any number of squares in one of the directions up, down, left or right, but it is not allowed to enter (or jump over) any walls (i.e., the black squares). Thus, the mouse moves just like a rook in chess. To eat a fruit, the mouse has to stop at that square. Assume that the maze has 4 fruits, and the size of b xh squares. 1. Give a suitable representatión of the states in this searching problem. 2. How many possible actions can the mouse perform at each move? (1.e., what is the branching factor?)1. Your objective is to guide a robot through a labyrinth. 1. Your objective is to guide a robot through a labyrinth. The robot begins at the maze's middle, looking north. You have the option of facing the robot north, east, south, or west. You may tell the robot to travel ahead a particular distance, but it will halt if it comes too close to a wall. i. Create a problem statement for this situation. What is the size of the state space? ii. The only location we need to turn while traversing a labyrinth is at the junction of two or more passageways. This remark may be used to reformulate the issue. What is the current size of the state space? iii. We may go in any of the four directions from any point in the labyrinth until we reach a turning point, and that is the only action we need to do. Using these steps, rephrase the issue. Is it necessary to maintain track of the robot's orientation at this point? iv. We already abstracted from the actual world in our original description…A local charity has set up a carnival for small children in a park with existing walkways and they need to create a map and advertising campaign. (a) Draw a simple graph that models the walkways and attractions of the carnival given the following information: • the entrance is an attraction because of the funny clowns that perform • from the clowns you can go to the slide, food truck, or carousel • the food truck is also connected to the petting zoo, ice cream cart, and ring toss • you can get to the petting zoo from the slide as well • from the carousel you can go to the face painting station or the ice cream cart, but there is also a direct path between the ice cream cart and face painting station too • the ice cream cart and ring toss both lead to the fishing game (b) To advertise the event, (i) Can the charity claim each attraction can be visited exactly once? (e.g. does the graph have a Hamilton circuit? or a Hamilton path?) If so, give one example, as proof. (ii) For members of…
- 3. You are given a rectangular grid, where each cell corresponds to a land or sea area. If two cells of land are adjacent to each other vertically, horizontally, or diagonally on the you can walk from one to the other. Two land areas belong to the same island if and only if map, then there is a path from one to the other. Describe a graph algorithm that returns the number of islands in the map and analyze runtime in terms of the number of cells n.4. An edge e can be (X) always full, (y) sometimes full, (2) never full; it can be (x') always crossing, (y') sometimes crossing. (z') never crossing. So there are nine possible combinations: (xx) always full and always crossing. (xy') always full and sometimes crossing, and so on. Or are there? Maybe some possibilities are impossible. Let's draw a table: always full sometimes full never full The edge e is: ot Possible Possible always crossing f :2 or or e:1 impossible? impossible? 7° f:1 Possible Possible sometimes crossing or or e:1 impossible? impossible? Possible Possible Possible never crossing or or or impossible? impossible? impossible? Take a piece of paper, complete the 3 x 3 table below by either finding an example illustrating that the combination is possible or by concluding that it is impossible. To do so, you will need the Max Flow Min Cut Theorem plus a bit of your own thinking. Once you have completed the table, select which of the following statements are true: There…You will be given a square chess board with one queen and a number of obstacles placed on it. Determine how many squares the queen can attack. A queen is standing on an chessboard. The chess board's rows are numbered from to , going from bottom to top. Its columns are numbered from to , going from left to right. Each square is referenced by a tuple, , describing the row, , and column, , where the square is located. The queen is standing at position . In a single move, she can attack any square in any of the eight directions (left, right, up, down, and the four diagonals). In the diagram below, the green circles denote all the cells the queen can attack from : There are obstacles on the chessboard, each preventing the queen from attacking any square beyond it on that path. For example, an obstacle at location in the diagram above prevents the queen from attacking cells , , and : Given the queen's position and the locations of all the obstacles, find and print the number of…
- Penalty kicks in soccer. Let's consider a situation where a football player has to faceoff the goalkeeper in a penalty kickoff. Standing infront of the goalpost, the Kicker (player 1) has several angle which he could kick the ball to the goalpost. Let's say he could kick the ball in the Left corner of the goalpost, Right corner of the goalpost or shoot straight through the Center. And, same as the player, the goalkeeper (player 2) also has three options to predict which direction the player would kick the ball and try to stop it. This game can be represented using the following 3 x 3 matrix: Left Center Right 63 37 94 95 Left 100' 100 100' 100 100' 100 100. 6 100' 100 91 9 94 Center 100' 100 100' 100 94 6 93 7 60 40 Right 100' 100 100' 100 100' 100 In the above matrix, the payoff of the kicker is the probability that he scores and the payoff of the goalkeeper is the probability that the kicker doesn't score. We know that the total probability of an event is 1, therefore, all the…Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. You have n particular focuses (x1,y1),… ,(xn,yn) on the plane and a non-negative integer boundary k. Each point is a tiny steel ball and k is the draw in force of a ball when it's charged. The draw in power is something very similar for all balls. In one activity, you can choose a ball I to charge it. When charged, all balls with Manhattan distance all things considered k from ball I move to the situation of ball I. Many balls may have a similar facilitate after an activity. All the more officially, for all balls j with the end goal that |xi−xj|+|yi−yj|≤k, we dole out xj:=xi and yj:=yi. An illustration of an activity. Subsequent to charging the ball in the middle, two different balls move to its position. On the right side, the red dab in the middle is the normal situation of those balls. Your errand is to observe the base number of activities to move all balls to a similar…: Imagine a histogram (bar graph). Design an algorithm to compute thevolume of water it could hold if someone poured water across the top. You can assume that eachhistogram bar has width 1.EXAMPLE (Black bars are the histogram. Gray is water.)lnput:{0, 0, 4, 0, 0, 6, 0, 0, 3, 0, 5, 0, 1, 0, 0, 0}
- Correct answer will be upvoted else downvoted. Computer science. Every moment, a battle between two distinct saints happens. These legends can be picked self-assertively (it's even conceivable that it is a similar two saints that were battling during the latest possible second). At the point when two saints of equivalent levels battle, no one successes the battle. At the point when two legends of various levels battle, the one with the more elevated level successes, and his level increments by 1. The champ of the competition is the main saint that successes in no less than 100500 battles (note that it's conceivable that the competition keeps going forever assuming no legend wins this number of battles, there is no victor). A potential champ is a saint to such an extent that there exists an arrangement of battles that this legend turns into the victor of the competition. Compute the number of potential champs among n legends. Input The primary line contains one integer…Correct answer will be upvoted else Multiple Downvoted. Computer science. one maneuver, the robot should move one cell to the left or right, given that it doesn't move beyond the field of play. As such, if the robot was in the cell I, it should move to either the cell i−1 or the cell i+1, as long as it lies among 1 and n (endpoints comprehensive). The cells, in the request they are visited (counting the cell the robot is set), together make a decent way. Every cell I has a worth computer based intelligence related with it. Let c0,c1,… ,ck be the succession of cells in a decent way in the request they are visited (c0 is the cell robot is at first positioned, c1 is the cell where the robot is after its first move, etc; all the more officially, ci is the cell that the robot is at after I moves). Then, at that point, the worth of the way is determined as ac0+ac1+⋯+ack. Your errand is to work out the amount of qualities over all conceivable great ways. Since this number can be…The game of Chomp is played by two players. In this game, cookies are laid out on a rectangular grid. The cookie in the top-left position is poisoned. The two players take turns making moves; at each move, a player is required to eat a remaining cookie, together with all cookies to the right and/or below (that is all the remaining cookies in the rectangle, in which the first cookie eaten is the top left corner). The loser is the player who has no choice but to eat the poisoned cookie. Prove that if the board is square (and bigger than 1 × 1) then the first player has a winning strategy.