there is a red point and some
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there is a red point and some blue points on how to move so that the sum of the distances from the red point to the blue points grows the fastest
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- A robot starts on a point marked “A” on a rectangular grid of points. The starting point is always the top left point on the grid. The robot can move left, right, up or down, moving from one point to the next. By moving in steps going left, right, up or down, the robot would like to reach a point marked “B”, which is always the bottom right point in the grid. Sometimes, points are marked as “x”, and the robot is not allowed to visit them at all. A robot is never allowed to visit a point more than once. In how many ways can the robot move from A to B and visit all points along the way? For example, in the following grid, represented in text as A . . . . B there is only one path from A to B: In the following grid, represented in text as A . . x x B there is still only one path (we're lucky because of the two x's): However, in the grid A . . . x B there are no ways for the robot to move from A to B and visit all points that are not marked with “x”. Write a single…CThere is a road, the starting coordinate is 0, and the coordinatesof the line are given to draw a black line, for example, five linesegments for drawing black lines, (5, 6), (1, 2), (4, 8), (7 , 9)and (5, 8), as shown belowOutput:Length of the black line on the road: 6Maximum number of overlaps: 3Maximum number of overlaps Length of black line: 2 The first row is a positive integer N, there are N line segments for drawing black lines.Then there are the integer values of the start point coordinates and the end point coordinates of the line segment of the black line. Sample 15160 180150 200280 300290 330190 210Output:Length of the black line on the road: 110Maximum number of overlaps: 2Maximum number of overlaps Length of black line: 40 Sample 21120 120Output:Length of the black line on the road: 0Maximum number of overlaps: 0Maximum number of overlaps Length of black line: 0For all objects J, if J is a square then J has four sides. a. All squares _______. b. Every square _______. c. If an object is a square, then it _______.
- Several coins are placed in cells of an n × m board, no more than one coin per cell. A robot, located in the upper left cell of the board, needs to collect as many of the coins as possible and bring them to the bottom right cell. On each step, the robot can move either one cell to the right or one cell down from its current location. When the robot visits a cell with a coin, it always picks up that coin. In addition, some cells (shown by X’s) on the board are inaccessible for the robot. You need to apply dynamic programming to find the maximum number of coins the robot can collect and a path it needs to follow to do this. As an example, we give a 5 by 6 board as follows: define your objective function write down the recurrence relation of the objective function make a DP table and fill it based on your recurrence relation backtrack from the destination to find out the optimal paths. You should explain the backtracking strategy, and mark the optimal paths on the above boYou are given an instance of a problem where you have an n x n grid of squares. Each square can be unpainted or can have a hole, so you cannot go on the square with a hole. The objective is to paint all the squares that do not have a hole. You start in the square (0,0) which is unpainted. The actions you can do are: (1) paint the square you are on if it is not painted; (2) move, either vertically or horizontally, to an adjacent square inside the grid that is not painted and does not have a hole. a. Describe a state-space representation for the problem, specifying the state representation, the initial state, the goal condition, and the actions. b. Is the state space finite? Is it a tree or a graph? c. Propose a heuristic for the problem. Is your heuristics admissible or not? Explain briefly your answerA rectangle has a perimeter of 20. If the area of the rectangle is to be maximized, the length of each side should be 5
- Draw a Maze and use the A*algorithm to get out of the maze from an arbitrary starting positionOne problem with using an algorithm is that we forget to evaluate the __________ because it works, but it may not be the best option.Raghu and Sayan both like to eat (a lot) but since they are also looking after their health, they can only eat a limited amount of calories per day. So when Kuldeep invites them to a party, both Raghu and Sayan decide to play a game. The game is simple, both Raghu and Sayan will eat the dishes served at the party till they are full, and the one who eats maximum number of distinct dishes is the winner. However, both of them can only eat a dishes if they can finish it completely i.e. if Raghu can eat only 50 kCal in a day and has already eaten dishes worth 40 kCal, then he can't eat a dish with calorie value greater than 10 kCal.Given that all the dishes served at the party are infinite in number, (Kuldeep doesn't want any of his friends to miss on any dish) represented by their calorie value(in kCal) and the amount of kCal Raghu and Sayan can eat in a day, your job is to find out who'll win, in case of a tie print “Tie” (quotes for clarity). Input:First line contains number of test…
- A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of school, theprincipal plays the following game: She asks the first student to open all the lockers. She then asks the secondstudent to close all the even-numbered lockers. The third student is asked to check every third locker. If it isopen, the student closes it; if it is closed, the student opens it. The fourth student is asked to check every fourthlocker. If it is open, the student closes it; if it is closed, the student opens it. The remaining students continuethis game. In general, the nth student checks every nth locker. If it is open, the student closes it; if it is closed,the student opens it. After all the students have taken turns, some of the lockers are open and some are closed.The program below, when ran, will prompt the user to enter the number of lockers in the school. After thegame is over, the program will output the number of lockers and the lockers numbers of the lockers…Example of how to do it is on the 2nd picture.Computer Science There is an n × n grid of squares. Each square is either special, or has a positive integer costassigned to it. No square on the border of the grid is special.A set of squares S is said to be good if it does not contain any special squares and, starting fromany special square, you cannot reach a square on the border of the grid by performing up, down,left and right moves without entering a cell belonging to S. 5 3 4 9 4 X 3 6 1 9 X 4 1 2 3 5 - Design an algorithm which receives an arbitrary n × n grid, runs in time poly-nomial in n and determines a good set of squares with minimum total cost.