Upload a source code in java: 2. Alternating glasses a. There are 2n glasses standing next to each other in a row, the first n of them filled with a soda drink and the remaining n glasses empty. Make the glasses alternate in a filled-empty-filled-empty pattern in the minimum number of glass moves. [Gar78] b. Solve the same problem if 2n glasses-n with a drink and n empty–are initially in a random order.
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- Please help me Josephus Problem is a theoretical problem related to a certain counting-out game. On thiscase, people are standing in a circle waiting to be executed. After a specified number ofpeople are skipped, the next person is executed. The procedure is repeated with theremaining people, starting with the next person, going in the same direction and skippingthe same number of people, until one person remains, and is freed.Arrange the numbers 1 , 2, 3 , ... consecutively (say, clockwise) in a circle. Now removenumber 2 and proceed clockwise by removing every other number, among those thatremain, until one number is left. (a) Let denote the final number which remains. Find formula for .(b) If there are 70 people, what is the safe number (the number that remains)?Solve using JAVA only Given a square chess board of size N, solve the N queens problem. ONLY Print out the NUMBER of solutions for a given N. DO NOT print out or produce the actual solutions, the code shold ONLY PROVIDE the number of correct solutions. Solve for N between 2 and 8. Try your program with 9 and 10, produce those results if it returns in a reasonable amount of time. The N queens problem is to find every configuration of N queens distributed on an NxN square chess board such that all queens are safe from attack by each other.Solve using JAVA only Given a square chess board of size N, solve the N queens problem. Print out the number of solutions for a given N. You do not need to print out or produce the actual solutions, only the number of correct solutions. Solve for N between 2 and 8. Try your program with 9 and 10, produce those results if it returns in a reasonable amount of time. The N queens problem is to find every configuration of N queens distributed on an NxN square chess board such that all queens are safe from attack by each other.
- IN PYTHON-Suppose that you leave your dog in the middle of a large citywhose streets form a familiar grid pattern. We assume thatthere are n north–south streets and n east–west streets, allregularly spaced and fully intersecting in a pattern known asa lattice. Trying to escape the city, the dog makes a randomchoice of which way to go at each intersection, but knows byscent to avoid visiting any place previously visited. But it ispossible for the dog to get stuck in a dead end where there isno choice but to revisit some intersection. What is thechance that this will happen?Hi I need help writing a java program that implements Prim's algorithm. The imput of the program is given by the scanner with an undirected graph. First input line is the number of vertices, second input is the number of undirected edges. After that the input is a matrix of 3 by the number of undirected edges. The matrix firt 2 column contain the end points and the third column contains the weight . The output of the program is an integer representing the sum of all the edges that make up the minimum spanning tre. I have attach a picture for farther details. THANKSCorrect answer will be upvoted else Multiple Downvoted. Computer science. Polycarp got the accompanying issue: given a framework piece of size 2×n, a few cells of it are obstructed. You want to check in case it is feasible to tile all free cells utilizing the 2×1 and 1×2 tiles (dominoes). For instance, if n=5 and the strip appears as though this (dark cells are obstructed) Polycarp handily tackled this errand and accepted his New Year's gift. Would you be able to settle it? Input The main line contains an integer t (1≤t≤104) — the number of experiments. Then, at that point, t experiments follow. Each experiment is gone before by a vacant line. The main line of each experiment contains two integers n and m (1≤n≤109, 1≤m≤2⋅105) — the length of the strip and the number of impeded cells on it. Every one of the following m lines contains two integers ri,ci (1≤ri≤2,1≤ci≤n) — numbers of lines and sections of hindered cells. It is ensured that all impeded cells are…
- In the Java class MatrixHelix, implement the method int[][] helix(int[][]) that returns a matrix of identical dimensions to the input matrix, but with the contents in helix order. Your implementation should account for matrices of different sizes and should handle corner cases as well (0 x 0 matrices and 1 x 1 matrix, for example). The matrix 7 5 1 4 63 2 9 1 88 3 2 4 110 11 15 19 14 would become 7 5 1 4 64 1 10 11 32 14 19 15 23 8 8 1 9 after spiralizing.Dingyu is playing a game defined on an n X n board. Each cell (i, j) of the board (1 2, he may only go to (2, n).) The reward he earns for a move from cell C to cell D is |value of cell C – value of cell D|. The game ends when he reaches (n, n). The total reward - is the sum of the rewards for each move he makes. For example, if n = 1 2 and A = 3 the answer is 4 since he can visit (1, 1) → (1, 2) → (2, 2), and no other solution will get a higher reward. A. Write a recurrence relation to express the maximum possible reward Dingyu can achieve in traveling from cell (1, 1) to cell (n, n). Be sure to include any necessary base cases. B. State the asymptotic (big-O) running time, as a function of n, of a bottom-up dynamic programming algorithm based on your answer from the previous part. Briefly justify your answer. (You do not need to write down the algorithm itself.)A salesman would like to visit a set of n cities. The cities are connected pairwise by a direct trains. The cost of a train ticket varies depending on the cities it connects. This salesman would like to fly into one city, then use trains to visit each city exactly one, and then fly out of the last city on his trip. The cost of his trip is the total cost of all the train tickets (the plane tickets are not included). The salesman may chose any city to fly into and any city to fly out of. Let the problem of determining if there is a trip that costs at most k dollars be called T rainSalesman. Show that this problem is NP-complete.
- In the Java class MatrixHelix, implement the method int[][] helix(int[][]) that returns a matrix of identical dimensions to the input matrix, but with the contents in helix order. Your implementation should account for matrices of different sizes and should handle corner cases as well (0 x 0 matrices and 1 x 1 matrix, for example). Examples The matrix 1 2 34 5 67 8 9would become 1 2 38 9 47 6 5after the helix morph. The matrix 7 5 1 4 63 2 9 1 88 3 2 4 110 11 15 19 14 would become 7 5 1 4 64 1 10 11 32 14 19 15 23 8 8 1 9after spiralizing. Implement all the methods that are indicated with //MODIFY THIS METHOD and // ADD TESTS TO CHECK PARTITIONS.Everybody come do the Scrooge Shuffle def spread_the_coins(piles, left, right): Some coins have been placed on the integer line ℤ so that for every i in range(len(piles)) , the position i initially contains piles[i] coins. The other positions on the set of integers ℤ, both positive and negative, are initially empty. A position that contains at least left+right coins is defined to be unstable. As long as some position i is unstable, exactly left coins from that position i spill into its predecessor position i-1, and exactly right coins spill into its successor position i+1. Repeat until every position is stable.The unique terminal state of this back-and-forth dance will necessarily be reached after a finite number of steps, independent of the order of processing the unstable positions in the interim. This function should return this terminal state as tuple (start, coins) where start is the leftmost position that contains at least one coin. The second component lists the coins that…Do you reach many, do you reach one? def knight_jump(knight, start, end): An ordinary chess knight on a two-dimensional board of squares can make an “L-move” into up to eight possible neighbours. However, we can generalize the entire chessboard into k dimensions from just the puny two. A natural extension of the knight's move to keep moves symmetric with respect to these dimensions is to define the possible moves as some k-tuple of strictly decreasing nonnegative integer offsets. Each one of these k offsets must be used for exactly one dimension of your choice during the move, either as a positive or a negative version.For example, the three-dimensional (4,3,1)-knight makes its way by first moving four steps along any one of the three dimensions, then three steps along any other dimension, and then one step along the remaining dimension, whichever dimensions that was. These steps are considered to be performed together as a single jump that does not visit or is blocked by any of the…