Modify tic-tac-toe: the 1st player x wins if she gets 3-in-a-row, otherwise the 2nd player o wins. What is the first-player minimax value for this game (win, lose)? For this game, give a proof tree for x to play from the position above right.
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Modify tic-tac-toe: the 1st player x wins if she gets 3-in-a-row, otherwise the 2nd player o
wins. What is the first-player minimax value for this game (win, lose)? For this game, give
a proof tree for x to play from the position above right.
Step by step
Solved in 2 steps
- A group of people, numbered 1 to N, are sitting in a circle. Starting at person 1, a hot potato is passed. After x number of passes, the person holding the hot potato is eliminated, the circle closes ranks, and the game continues with the person who was sitting after the eliminated person picking up the hot potato. The last remaining person wins. For example: number of passes = 1 and number of players = 5, the order of elimination is 2, 4, 1, 5. Write a program for general values of X and N. Ask a user for the number of people and number of passes To speed up the input and debugging, you may wish to store the names of the people in a file. Make sure no two names start the same letter ( Alex and Ana are not OK). Alternatively, you can number the players. Output number and/or the name of a person being eliminated Output number and the name of the winner Do not expect a user to do the right thing, error check the user input; among other things, what do you think a reasonable…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".Decision Tree Assignment Play now? Play later? You can become a millionaire! That's what the junk mail said. But then there was the fine print: If you send in your entry before midnight tonight, then here are your chances: 0.1% that you win $1,000,000 75% that you win nothing Otherwise, you must PAY $1,000 But wait, there's more! If you don't win the million AND you don't have to pay on your first attempt, then you can choose to play one more time. If you choose to play again, then here are your chances: 2% that you win $100,000 20% that you win $500 Otherwise, you must PAY $2,000 What is your expected outcome for attempting this venture? Solve this problem using a decision tree and clearly show all calculations and the expected monetary value at each node. Use maximization of expected value as your decision criterion. Answer these questions: 1) Should you play at all? (5%) If you play, what is your expected (net) monetary value? (15%) 2) If you play and don't win at all on the first…
- Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. Artem is building another robot. He has a network a comprising of n lines and m sections. The cell situated on the I-th line from the top and the j-th segment from the left has a worth ai,j written in it. In the event that two nearby cells contain a similar worth, the robot will break. A lattice is called acceptable if no two adjoining cells contain a similar worth, where two cells are called nearby on the off chance that they share a side. Artem needs to increase the qualities in certain cells by one to make a decent. All the more officially, find a decent network b that fulfills the accompanying condition — For all substantial (i,j), either bi,j=ai,j or bi,j=ai,j+1. For the imperatives of this issue, it tends to be shown that such a framework b consistently exists. In case there are a few such tables, you can output any of them. Kindly note that you don't need to limit…Consider a game in which two players take turns removing any positive number of matches they want from one of two piles of matches. The player who removes the last match wins the game. Show that if the two piles contain the same number of matches initially, the second player can always guarantee a win.Josefine and her friends has invented a new game called Pillar Jumpers. In this game, a sequence of N pillars of non decreasing heights are placed next to each other. The player starts on the first pillar, and the target is to reach the la pillar in at most J jumps. The player has a certain jump strength S that determines how far he can jump. Let h; be t height of the i'th pillar for i e [1...N). The player can jump from pillar i to j iff. iIn the game of 10-pin bowling the bowler has two attempts to knock down pins for every frame of 10-pins, and scores a point for each pin knocked down. If all the pins are knocked down with two attempts, the bowler gets a bonus - whatever score they obtain with their next bowl is doubled. If all the pins are knocked down on the 1st attempt, no 2nd attempt is allowed, and the bowler gets a bonus – whatever score they obtain on their next two bowls are doubled. A student attempts to capture this scoring system in VHDL code, a fragment of which is shown in Figure Q4. Q4 (a) Draw the state transition diagram described by the VHDL of Figure Q4. Discuss whether the VHDL of Figure Q4 correctly scores a game of 10-pin bowling. (b) elsif CLK='1' and CLK'event and UPD='1' then case present state is when throwl => frame := frame + 1; + resize (unsigned (N), 9) score := score if N = w1010" then present state score := score + resize (unsigned (N), 9) present state + resize (unsigned (N),9) if N =…Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. every cell of the network contains a non-negative integer. Each turn, a player should play out every one of the accompanying activities all together. Pick a beginning cell (r1,c1) with non-zero worth. Pick a completing cell (r2,c2) to such an extent that r1≤r2 and c1≤c2. Lessening the worth of the beginning cell by some sure non-zero integer. Pick any of the most limited ways between the two cells and either increment, lessening or leave the upsides of cells on this way unaltered. Note that: a most limited way is one that goes through the most un-number of cells; all cells on this way barring the beginning cell, yet the completing cell might be altered; the subsequent worth of every cell should be a non-negative integer; the cells are changed freely and not really by a similar worth. On the off chance that the beginning and finishing cells are something very…Given a deck of 52 playing cards, we place all cards in random order face up next to each other. Then we put a chip on each card that has at least one neighbour with the same face value (e.g., on that has another queen next to it), we put a chip. Finally, we collect all chips that were each queen placed on the cards. For example, for the sequence of cards A♡, 54, A4, 10O, 10♡, 104, 94, 30, 3♡, Q4, 34 we receive 5 chips: One chip gets placed on each of the cards 100, 10♡, 104, 30, 3♡. (a) Let p5 be the probability that we receive a chip for the 5th card (i.e., the face value of the 5th card matches the face value of one of its two neighbours). Determine p5 (rounded to 2 decimal places). (b) Determine the expected number of chips we receive in total (rounded to 2 decimal places). (c) For the purpose of this question, you can assume that the expectation of part (b) is 6 or smaller. Assume that each chip is worth v dollars. Further, assume that as a result of this game we receive at least…The Josephus problem is the following game: N people, numbered 1 to N, are sitting in a circle. Starting at person 1, a hot potato is passed. After M passes, the person holding the hot potato is eliminated, the circle closes ranks, and the game continues with the person who was sitting after the eliminated person picking up the hot potato. The last remaining person wins. Thus, if M = 0 and N = 5, players are eliminated in order, and player 5 wins. If M = 1 and N = 5, the order of elimination is 2, 4, 1, 5. Write a C program to solve the Josephus problem for general values of M and N. Try to make your program as efficient as possible. Make sure you dispose of cells. What is the running time of your program? If M = 1, what is the running time of your program? How is the actual speed affected by the delete routine for large values of N (N > 100,000)? ps. provide a screenshot of output, thankssObject Reward Weight A 20 1 В 2 10 D 40 8 E 15 7 F 25 4 5 H. Maximum weight = 12 The above problem is a 0/1 Knapsack problem. You have to carry the different objects in your bag in a way such that the reward is maximized without exceeding the weight limit. You can carry an object exactly once but you always have to carry the object labelled “H". Assuming you are asked to use Genetic Algorithm for this problem, answer the following questions 1. Encode the problem and create an initial population of 4 different chromosomes 2. Explain what would be an appropriate fitness function for this problem. Use the fitness function and perform natural selection to choose the 2 fittest chromosomes. ' : 3. Using the selected chromosomes perform a single point crossover to get 2 offspring 4. Perform mutation and check the fitness of the final offspring. Explain your work. 2.Let's revisit our first problem, where we want to set up a series of chess matches so we can rank six players in our class. As we did before, we will assume that everyone keeps their chess rating a private secret; however, when two players have a chess match, the person with the higher rating wins 100% of the time. But this time, we are only interested in identifying the BEST of these six players and the WORST of these six players. (We don't care about the relative ordering or ranking of the middle four players.) Your goal is to devise a comparison-based algorithm that is guaranteed to identify the player with the highest rating and the player with the lowest rating. Because you are very strong at Algorithm Design, you know how to do this in the most efficient way. Here are five statements. A. There exists an algorithm to solve this problem using 6 matches, but there does not exist an algorithm using only 5 matches. B. There exists an algorithm to solve this problem using 7 matches,…SEE MORE QUESTIONS