TOPRCH Let A = {a1,..., an} and B = = {b1, ..., bm} be two sets of numbers. Consider the problem of finding their intersection, i.e., the set C of all the numbers that are in both A and B. Design a presorting-based algorithm in pseudo code for solving this problem and determine its efficiency class. Answer: // your algorithm goes here efficiency class is?
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- 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 toneight 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…Coupon collector is a classic statisticsproblem with many practical applications. The problem is to repeatedly pickobjects from a set of objects and find out how many picks are needed for all theobjects to be picked at least once. A variation of the problem is to pick cards froma shuffled deck of 52 cards repeatedly, and find out how many picks are neededbefore you see one of each suit. Assume a picked card is placed back in the deck before picking another. Write a program to simulate the number of picks neededto get four cards from each suit and display the four cards picked (it is possible acard may be picked twice). Here is a sample run of the program: Queen of Spades5 of ClubsQueen of Hearts4 of DiamondsNumber of picks: 12Do 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…
- Graham’s algorithm is used for finding a convex hull for a set of points.Assume Java’s coordinate system is used for the points. Implement the algorithmusing the following method:/** Return the points that form a convex hull */public static ArrayList<MyPoint> getConvexHull(double[][] s)MyPoint is a static inner class defined as follows:private static class MyPoint implements Comparable<MyPoint> {double x, y;MyPoint rightMostLowestPoint; MyPoint(double x, double y) {this.x = x; this.y = y;}public void setRightMostLowestPoint(MyPoint p) {rightMostLowestPoint = p;}@Overridepublic int compareTo(MyPoint o) {// Implement it to compare this point with point o// angularly along the x-axis with rightMostLowestPoint// as the center, as shown in Figure 22.10b. By implementing// the Comparable interface, you can use the Array.sort// method to sort the points to simplify coding.}}Write a test program that prompts the user to enter the set size and the points,and displays the points…Write a program that implements the algorithm delimiterMatching() seen in class.A general state space search algorithm is implemented in search.py. Go through this and try to understand it. An example of how to implement a particular search problem using the state space code is shown in pitcher.py. Note in particular how the PitcherState class works in conjunction with the Search class. Using the PitcherState class as a model, write a Simpsons class that implements a solution to the following slightly modified problem from an episode of the Simpsons called Gone Maggie Gone from 2009. Maybe you remember it. Homer Simpson has to move his daughter Maggie, his dog Santa's Little Helper, and a jar of medical marijuana that looks like candy across a river. He can only take one item in his boat at a time. He can't leave Maggie alone with the medical marijuana (or she will eat it) and he can't leave Santa's Little Helper alone with Maggie (because the dog will pester the girl). Formulate the actions for this problem and implement them. Be careful to ensure that illegal…
- A general state space search algorithm is implemented in search.py. Go through this and try to understand it. An example of how to implement a particular search problem using the state space code is shown in pitcher.py. Note in particular how the PitcherState class works in conjunction with the Search class. Using the PitcherState class as a model, write a Simpsons class that implements a solution to the following slightly modified problem from an episode of the Simpsons called Gone Maggie Gone from 2009. Homer Simpson has to move his daughter Maggie, his dog Santa's Little Helper, and a jar of medical marijuana that looks like candy across a river. He can only take one item in his boat at a time. He can't leave Maggie alone with the medical marijuana (or she will eat it) and he can't leave Santa's Little Helper alone with Maggie (because the dog will pester the girl). Formulate the actions for this problem and implement them. Be careful to ensure that illegal states are flagged…Implement an immutable data type Rational for rational numbers that supports addition, subtraction, multiplication, and division. public class Rational: Rational(int numerator. int denominator)Rational plus(Rational b) sum of this number and bRational minus(Rational b) difference of this number and bRational times(Rational b) product of this number and bRational divides(Rational b) quotient of this number and bboolean equals(Rational that) is this number equal to that ?String toString() string representation You do not have to worry about testing for overflow, but use as instance variables two long values that represent the numerator and denominator to limit the possibility of overflow. Use Euclid’s algorithm to ensure that the numerator and denominator never have any common factors. Include a test client that exercises all of your methods.A magician has in her pocket a fair coin and a two-headed coin. She chooses one at random, flips it and observes heads. What is the probability of observing heads in the second flip (using the same coin) if we observed heads in the first flip? Last class we build a function to compute this probability: def double_flip(num_sims=100_000): coins = ['fair', '2head'] heads1_count=0 heads2_count=0 for sim in range(num_sims): coin=random.choice (coins) if coin=='fair': faces=['H', 'T'] else: faces=['H', 'H'] values=random. choices (faces,k=2) if values [0] == 'H': heads1_count+=1 if values[1] == 'H': heads2_count+=1 print("Probability of observing heads in the 2nd\ flip if heads in the 1st flip is", heads2_count/heads1_count) Write another function that does not use for loops. Use the %%timeit magic to measure how long it takes compared with the original function.
- Correct answer will be upvoted else Multiple Downvoted. Computer science. pick a non-void adjacent substring of s that contains an equivalent number of 0's and 1's; flip all characters in the substring, that is, supplant all 0's with 1's, as well as the other way around; turn around the substring. For instance, think about s = 00111011, and the accompanying activity: Pick the initial six characters as the substring to follow up on: 00111011. Note that the number of 0's and 1's are equivalent, so this is a lawful decision. Picking substrings 0, 110, or the whole string would not be imaginable. Flip all characters in the substring: 11000111. Invert the substring: 10001111. Find the lexicographically littlest string that can be gotten from s after nothing or more tasks. Input The primary line contains a solitary integer T (1≤T≤5⋅105) — the number of experiments. Every one of the accompanying T lines contains a solitary non-void string — the input string s for…Implement the Solver class. The point of the solver class is the solve method which takes a board/puzzle configuration represented as a 2D array of bytes and returns a byte array containing a minimal sequence of moves that will lead to the solved board. The 2D array of bytes is “triangular” and represents a valid board configuration. Namely, the 2D array has 5 rows (0 – 4) and the size of every row is 1 more than its index. (e.g. Row 0 has length 1). The array contains one 0, five 1s, four 2s and five 3s. The solve method then returns an array of bytes representing a minimal sequence of moves that solves the puzzle. In other words, if the numbers from the returned array are used in order as inputs to the move method on the Board object representing the initial configuration, the resulting board configuration represents the solved board. Furthermore, the solution must be minimal in the sense that there are no solutions that use fewer moves (although there could be other solutions that…Q8 Hive Minds: Migrating Birds You again control a single insect, but there are B birds flying along known paths. Specifically, at time t each bird b will be at position (x¿(t), Yb(t)). The tuple of bird positions repeats with period T. Birds might move up to 3 squares per time step. An example is shown below, but keep in mind that you should answer for a general instance of the problem, not simply the map and path shown below. Your insect can share squares with birds and it can even hitch a ride on them! On any time step that your insect shares a square with a bird, the insect may either move as normal or move directly to the bird's next location (either action has cost 1, even if the bird travels farther than one square).