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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)?The questions should be completed with OCaml. Running screenshots should be provided. The background information is given by the picture. Question 1: Provide 5 good test cases each for eval_success_tests and eval_failure_tests, following the format of: let eval_success_tests : ((truth_assignment * formula) * bool) list = [] let eval_failure_tests : ((truth_assignment * formula) * exn) list = [] Question 2: Implement the function eval : truth_assignment -> formula -> bool. let eval (state : truth_assignment) (formula : formula) : bool = raise Not_implemented You are evaluating boolean formulae instead of float arithmetic. You also need to use the correct boolean value for each variable. We recommend using Variable_map.find_opt to perform lookups in the truth assignment. If a variable is needed but does not appear in the truth assignment, you must raise an Unassigned_variable x exception, where x is the unassigned variable. Once again, you may use any functions you want and…Please implement in Java implement a keyed bag in which the items to be stored are strings (perhaps people’s names) and the keys are numbers (perhaps Social Security or other identification numbers). So, the in- sertion method has this specification: public void insert(String entry, int key);// Precondition: size( ) < CAPACITY, and the // bag does not yet contain any item// with the given key.// Postcondition: A new copy of entry has// been added to the bag, with the given key. When the programmer wants to remove or retrieve an item from a keyed bag, the key of the item must be specified rather than the item itself. The keyed bag should also have a boolean method that can be used to determine whether the bag has an item with a specified key. In a keyed bag, the pro- grammer using the class specifies a particular key when an item is inserted. Here’s an implementation idea: A keyed bag can have two private arrays, one that holds the string data and one that holds the corresponding…
- The table below shows five hundred individuals who were divided into two categories three and four as shown in the table below; Serial 1 2 3 4 TOTAL 1 36 16 14 34 100 2 64 34 20 82 200 3 50 50 16 84 200 Total 150 100 50 200 500 Write a code to test Using the Chi-square test if there is independence between the two individuals. In any language preferrably Java, Python or MatLabIn 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…In Python, with use of function and input parsing/ Make a method is_anagram_of(a,b) that tests if a is an anagram of b. A string a is an anagram of a string b, if it uses exactly the same letters, but the order can be different. Spaces are ignored, as well as capitalization. Examples of anagrams: "eleven plus two" - "twelve plus one" "William Shakespeare" - "I am a weakish speller" "Tom Marvolo Riddle" - "I am Lord Voldemort" "Anagrams" - "Ars manga" "television ads" - "enslave idiots" Counter examples: "bla" - "aalb" "cat" - "tact" Hint: Make a dictionary that holds how often a letter occurs in a word.
- create a 2 tape Turing machine (use JFLAP) that has on tape 1 the alphabet of a,b,null, on tape 2 the alphabet is 0,1,2,3, null. Tape 1 has initial content of (a+b)*, Tape 2 has initial content of (0+1)* Begin by processing tape 1, if the substring aa is found on tape 1, search tape 2 for the first 00 substring and replace it with 22 if the substring bb is found on tape 1, search tape 2 for the first 11 substring and replace it with 33. If at anytime aa does not have a matching 00 reject if at anytime bb does not have a matching 11 reject else accept after all of tape 1 has been processed.Can you translate this to c++ package backtracking;public class RatMazeProblem { final int N = 4; public boolean printMazePath(int[][] maze) { int[][] finalPath = new int[N][N]; if(!printMazePathUtil(maze, 0, 0, finalPath)) { System.out.println("Rat Can't reach to End"); return false; } printPath(finalPath); return true; } private boolean printMazePathUtil(int[][] maze, int x, int y, int[][] sol) { if(x == N - 1 && y == N - 1 && maze[x][y] == 1) { sol[x][y] = 1; return true; } if(isSafe(maze, x, y)) { sol[x][y] = 1; if(printMazePathUtil(maze, x + 1, y, sol)) { return true; } if(printMazePathUtil(maze, x, y + 1, sol)) { return true; } sol[x][y] = 0; } return false; } private boolean isSafe(int[][] maze, int x, int y) { if(x >= 0 && x < N && y >= 0 && y < N && maze[x][y] == 1) {…Knowing that (x + 1)2 = x2 + 2x + 1,and that multiplication is more time consuming than addition, write an efficientprogram that displays the first ten natural numbers and their squares. Knowingthat (x + 1)3 = x3 + 3x2 + 3x + 1, the same process can be followed to displaythe cubes of these numbers.Here is a sample run: 0^2 = 01^2 = 12^2 = 4...8^2 = 649^2 = 8110^2 = 100
- Make a java program that facilitates addition, subtraction, multiplication, and division of mixed numbers but this time all of the inputs /outputs may involve fractions, mixed fractions, or a combination. PLEASE HELP ME BUILD THE FractionTester Class Points to consider: MixedFraction class must override the operations (add, subtract, multiplyBy, divideBy) inherited from Fraction class to have a different implementation if the MixedFraction object will have a Fraction object as parameter in performing the required operation, On top of that, the inherited operations must also be overloaded to allow a MixedFraction object to accept other parameters such as a whole number or another MixedFraction object. The toString method which is inherited must also be overridden by MixedFraction to have a more appropriate return value. Further formatting must also be considered such that if the result of the operation has a zero value for the whole part, the output should only show the fractional part…Regular expressions are built recursively out of smaller regular expressions, using some rules described below. Each regular expression ?denotes a language ?(?), which is also defined recursively from the languages denoted by ?′? subexpressions. Given an alphabet ∑ = {0, 1}, write the language denoted by the following regular expressions:(i) 1(ii) 0 | 1(iii) (0 | 1)(iv) (0 | 1)∗(v) 1(0 | 1)∗(vi) 0 |1 (0| 1)Write a java Program that implements a calculator and it should have the 6 basic Operatoin : - Addition , Substrsction , multiplication , Division , Mod , Equal , CE(to clear the textfield )-The calculator should be like the following pic but without stylingThe Islamic University of GazaDepartment of Computer scienceFaculty of Information TechnologySecond Semester 2020-2021• Make a program that implement a Quiz that include 10 Questions ( 2 Per Stage )- the First Stage Contains a Label that contains the question and bellow it a choices or textfield for the answer and bellow all of these a button “Next” to move to the next Stage-The other Stages should contain as the same of the first stage in addition of a button “Previous” to move to previous stage - The last Stage don’t has a next button , although it has “Finish attemp” when pressing on it it should move to a final stage that include a label with the grade from 10
