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- Starting from a randomly generated state of the 15-puzzle game , steepest-ascent hill-climbing (the vanilla version of hill-climbing search) gets stuck 76% of the time, i.e., solving only 24% of problem instances. But it works very quickly, i.e., it takes just 6 steps on average when it succeeds and 5 steps when it gets stuck. In contrast, if sideways moves are allowed, this raises the percentage of problem instances solved by hill-climbing from 24% to 81%, with the success at a cost: the algorithm averages roughly 7 steps for each successful instance and 32 steps for each failure. Now suppose that we are implementing random-restart hill climbing (i.e., if a search fails, it keeps to try, and try, until it gets a success) by the following two versions: one uses vanilla steepest-ascent hill climbing, and the other one uses hill climbing with sideways moves. Can you please tell which version of random-restart hill-climbing listed above runs faster on average? Please justify your…The Monte Carlo method is used in modeling a wide-range of physical systems at the forefront of scientific research today. Monte Carlo simulations are statistical models based on a series of random numbers. Let's consider the problem of estimating Pi by utilizing the Monte Carlo method. Suppose you have a circle inscribed in a square (as in the figure). The experiment simply consists of throwing darts on this figure completely at random (meaning that every point on the dartboard has an equal chance of being hit by the dart). How can we use this experiment to estimate Pi? The answer lies in discovering the relationship between the geometry of the figure and the statistical outcome of throwing the darts. Let's first look at the geometry of the figure. Let's assume the radius of the circle is R, then the Area of the circle = Pi * R^2 and the Area of the square = 4 * R^2. Now if we divide the area of the circle by the area of the square we get Pi / 4. But, how do we estimate Pi by…In programming, we use the mask concept to indicate information that can be shown to the user and information that must be “masked”, that is, hidden. In an implementation of a hangman game, we use a mask to indicate which secret word positions the player has already guessed right (whose the contents must therefore be shown to the player), and which positions must remain hidden. Each time that the player hits a letter of the hidden word, the mask is updated so that it has little dashes in the places of letters that the player has not hit yet and show it, in their proper place, the letters that he already hit it. For example, if the word is "cards", the current mask is: - a - - s and the player guesses the letter "d", the mask should be updated to: - a - ds.Write a function called update_mask that takes as input a string containing the word secret (in the example above, this word would be “cards”), a list whose elements are the characters of the current mask (in the example above…
- Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…Write a Tic Tac Toe game played by only AI and only with random picks. Detect tie or win. Write a decorator to detect how fast a single game is played given a seed for random generation. Create another decorator to print out the Tic Tac Toe board at each pick so you can see what the AI is doing.
- 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…The Monty Hall game is a statistical problem: there is a TV show (like the Monty Hall show) that allows contestants to choose between three doors, A, B, and C. Behind one of these doors is a new car (the winning door), and behind the other two are goats (the losing doors). After the contestant makes a choice, the game show host shows a goat behind one of the doors NOT chosen. The contestant is then given a choice to either switch to the other, non-opened door, or stick with their original guess. The interesting part of this “game" is the statistics involved –a person has a 1/3 chance of originally picking a winning door. The other door – that which is not revealed to have a goat but also was not originally chosen – actually has a 2/3 chance of being a winning door. Therefore, it is in the contestant's best interest to switch doors. You will create a program that simulates the Monty Hall game, where the computer plays the role of the host. The program must have no outputs, but 1) Ask…Implement Velocity Verlet • Bouncing test: Simulate two particles starting from some distance approaching each other with some speed. Plot x(t), v(t), V(t), K(t) and H(t). Are they bouncing? Is H conserved? • Find the longest ∆t that conserves H to high precision in the bouncing test . I want simulation in python
- The Monty Hall game is a statistical problem: there is a TV show (like the Monty Hall show) that allows contestants to choose between three doors, A, B, and C. Behind one of these doors is a new car (the winning door), and behind the other two are goats (the losing doors). After the contestant makes a choice, the game show host shows a goat behind one of the doors NOT chosen. The contestant is then given a choice to either switch to the other, non-opened door, or stick with their original guess. The interesting part of this “game" is the statistics involved-a person has a 1/3 chance of originally picking a winning door. The other door chosen – actually has a 2/3 chance of being a winning door. Therefore, it is in the contestant's best interest to switch doors. that which is not revealed to have a goat but also was not originally You will create a program that simulates the Monty Hall game, where the computer plays the role of the host. The program must have no outputs, but 1) Ask the…Write a map-reduce algorithm to come up with a reliable machine learning model that can predict the likelihood of a bank credit card user “churning” – that is, no longer being a paying customer – from a bank. Show steps of your algorithm on sample input. Write a map-reduce program in java to implement the above algorithm. Show the screenshots of the steps of compilation and output.Extend the implementation of blackjack to work with multiple decks. This involves creating several decks and then executing the same logic, as mentioned previously, for the blackjack game. Note that with multiple decks, it’s possible to get multiple copies of the same card. For example, a player may get a hand consisting of (‘clubs’, 2), (‘clubs’, 2), and so on. Further extend the implementation of blackjack with cheat decks (or missing cards); that is, create decks with known missing cards and ensure that the blackjack logic still works. For example, it should be possible to create decks consisting entirely of Aces and picture cards. This would drastically increase the number of times either player has a hand consisting of a value of 21. Create a “card counting” scheme to keep track of the running count. First, you will need to extend the game logic to create a discard pile. The discard pile contains all the cards that have been used in the previous hands and starts off empty.…