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A: Dear Student, The answer to your question is given below -
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- On a chess board of r rows and c columns there is a lone white rook surrounded by a group of opponent's black knights. Each knight attacks 8 squares as in a typical chess game, which are shown in the figure - the knight on the red square attacks the 8 squares with a red dot. The rook can move horizontally and vertically by any number of squares. The rook can safely pass through an empty square that is attacked by a knight, but it must move to a square that is not attacked by any knight. The rook cannot jump over a knight while moving. If the rook moves to a square that contains a knight, it may capture it and remove it from the board. The black knights. never move. Can the rook eventually safely move to the designated target square? The figure illustrates how the white rook can move to the blue target square at the top-right corner in the first sample case. The rook captures one black knight at the bottom-right of the board on its way. Rok nd kight lcoes by Chunen Input The first line…Correct answer will be upvoted else downvoted. Computer science. the proprietor needs to eliminate a few (perhaps zero) sunflowers to arrive at the accompanying two objectives: At the point when you are on a vacant cell, you can stroll to some other void cell. All in all, those unfilled cells are associated. There is actually one basic way between any two void cells. All in all, there is no cycle among the vacant cells. You can stroll from an unfilled cell to another in the event that they share a typical edge. Could you kindly give the proprietor an answer that meets every one of her prerequisites? Note that you are not permitted to establish sunflowers. You don't have to limit the number of sunflowers you eliminate. It tends to be shown that the appropriate response consistently exists. Input The input comprises of different experiments. The main line contains a solitary integer t (1≤t≤104) — the number of experiments. The portrayal of the experiments follows.…This problem is taken from the delightful book "Problems for Mathematicians, Young and Old" by Paul R. Halmos. Suppose that 931 tennis players want to play an elimination tournament. That means: they pair up, at random, for each round; if the number of players before the round begins is odd, one of them, chosen at random, sits out that round. The winners of each round, and the odd one who sat it out (if there was an odd one), play in the next round, till, finally, there is only one winner, the champion. What is the total number of matches to be played altogether, in all the rounds of the tournament? Your answer: Hint: This is much simpler than you think. When you see the answer you will say "of course".
- Correct answer will be upvoted else downvoted. Computer science. Presently the proprietor needs to eliminate a few (perhaps zero) sunflowers to arrive at the accompanying two objectives: At the point when you are on an unfilled cell, you can stroll to some other void cell. As such, those unfilled cells are associated. There is actually one straightforward way between any two void cells. All in all, there is no cycle among the unfilled cells. You can stroll from an unfilled cell to another in the event that they share a typical edge. Could you if it's not too much trouble, give the proprietor an answer that meets every one of her necessities? Note that you are not permitted to establish sunflowers. You don't have to limit the number of sunflowers you eliminate. It tends to be shown that the appropriate response consistently exists. Input The input comprises of different experiments. The main line contains a solitary integer t (1≤t≤104) — the number of…A ancient magnate is failing. His want is to have solely ONE of his descendant’s receive ALL of his treasure, however which one? He has N quantity of decendants. He works out a answer to locate the one fortunate baby who inherits his wealth. He will get N tokens, label every token with an integer fee and assign every token to a descendant. Each token receives a cost solely once. He locations all the tokens in a circle round him, numbered 1 to N, and begins removing one in K till there is solely one left... Write a software that takes two integer values N and K and prints the token wide variety of the fortunate decendant. Input Format The first line of the entry includes the two integers N and K. Constraints . zero业 In the 8 queens problem, you are to place 8 queens on the chessboard in such a way that no two queens attack each other. That is, there are no two queens on the same row, column, or diagonal. The picture above shows a near solution--the top left and bottom right queens attack each other. We want to solve this problem using the techniques of symbolic Al. First, we need states. What would the best choice be for states? Each queen and its position x Michigan, Illinois, Indiana, etc. How many queens we have placed so far A board with the positions of all the queens that have been placed so far 00 What would the start state be? A single queen's position Crouched, with fingers on the starting line Placing the first queen x An empty board What would the goal state be? CA board with 8 queens placed Ball in the back of the net The positions of all 8 queens A board with 8 queens placed, none attacking each otherv What would the best choice for "edges" or "moves" be? Tiktok Moving a queen from…
- Correct answer will be upvoted else downvoted. Computer science. Positive integer x is called divisor of positive integer y, in case y is distinguishable by x without remaining portion. For instance, 1 is a divisor of 7 and 3 isn't divisor of 8. We gave you an integer d and requested that you track down the littlest positive integer a, to such an extent that a has no less than 4 divisors; contrast between any two divisors of an is essentially d. Input The primary line contains a solitary integer t (1≤t≤3000) — the number of experiments. The primary line of each experiment contains a solitary integer d (1≤d≤10000). Output For each experiment print one integer a — the response for this experiment.The rook is a chess piece that may move any number of spaces either horizontally or vertically. Consider the “rooks problem” where we try to place 8 rooks on an 8x8 chess board in such a way that no pair attacks each other. a. How many different solutions are there to this?b. Suppose we place the rooks on the board one by one, and we care about the order in which we put them on the board. We still cannot place them in ways that attack each other. How many different full sequences of placing the rooks (ending in one of the solutions from a) are there?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.)
- There are n students who studied at a late-night study for final exam. The time has come to order pizzas. Each student has his own list of required toppings (e.g. mushroom, pepperoni, onions, garlic, sausage, etc). Everyone wants to eat at least half a pizza, and the topping of that pizza must be in his reqired list. A pizza may have only one topping. How to compute the minimum number of pizzas to order to make everyone happy?You are the chief commander of US Army; you have been deployed in an ongoing war training of defusing the mine. Mines are placed on the ground which can be considered as a gird of size N*M. Each block (i, j) has a mine in it if and only if the summation of the block coordinates is divisible by 2. Your task is to move from the first row to the last row. The mines will not blow if the given rules are followed: • If you are on even row you can move to any cell that is in the neighborhood • If you are on odd row, you can only go the odd row that has mine on that and same with the unmined row. You have to develop a python program to calculate the number of ways to reach row number N starting from row number 1. Test Cases: 4 8 Output: 10Correct 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…