(3) If L is regular, then so is {xy : x E L and y L}. O True O False
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Q: JAVA PROGRAM
A: In the above question, the statements and the corresponding java program is mentioned
For each of the following statements, state whether it is True or False.
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- Problem Statement: The mathematician Conway imagined a game, called game of life, whichconsidered cells that are susceptible to reproduce, disappear, or survive when they obey certainrules. These cells are represented by elements on a grid of squares, where a grid has an arbitrarysize. Thus, each cell (except those on the boundaries of the grid) is surrounded by eight squaresthat contain other cells. The rules are stated as follows:1. Survival: Each cell that has two or three adjacent cells survives until the next generation.2. Death: Each cell that has at least four adjacent cells disappears (or dies) by overpopulation.Also, each cell that has at most one adjacent cell dies by isolation.3. Birth: Each empty square (i.e., dead cell) that is adjacent to exactly three cells gives birthto a new cell for the next generation.It is worth noting that all births and deaths occur at the same time during a generation.Write a program that simulates this game and displays all successive…[Unbalanced Rod] Given a set of n weights {w₁,..., wn} and a rod of length n - 1 inches, we can attach the weights to the rod at hooks placed at one inch distances apart as shown in the figure below. -1". /10 2 3 12 2 4 We can attach a weight to any hook but no two weights can be attached to the same hook and we have to attach all the weights. For any given assignment of weights to hooks, we can compute the location of the center of mass of the rod and the weights according to the following equation (neglecting the weights of the rod and the hooks). where 0 ≤ Pi≤n-1 is the position of weight along the rod. For example, in the figure shown above, the center of mass is computed as C= C = i Wi Pi Σi Wi 10 0+2 1+3·2+4·3+12.4 +2.5 10+2+3+4+12+2 78 33 The problem is to find an assignment of weights to hooks that makes the center of mass as far as possible to the left, i.e., minimize the value of c. Answer the following questions. 1. Describe a greedy algorithm that finds the assignments that…Problem Statement: The mathematician Conway imagined a game, called game of life, whichconsidered cells that are susceptible to reproduce, disappear, or survive when they obey certainrules. These cells are represented by elements on a grid of squares, where a grid has an arbitrarysize. Thus, each cell (except those on the boundaries of the grid) is surrounded by eight squaresthat contain other cells. The rules are stated as follows:1. Survival: Each cell that has two or three adjacent cells survives until the next generation.2. Death: Each cell that has at least four adjacent cells disappears (or dies) by overpopulation.Also, each cell that has at most one adjacent cell dies by isolation.3. Birth: Each empty square (i.e., dead cell) that is adjacent to exactly three cells gives birthto a new cell for the next generation.It is worth noting that all births and deaths occur at the same time during a generation.Write a program that simulates this game and displays all successive…
- Problem Statement: The mathematician Conway imagined a game, called game of life, whichconsidered cells that are susceptible to reproduce, disappear, or survive when they obey certainrules. These cells are represented by elements on a grid of squares, where a grid has an arbitrarysize. Thus, each cell (except those on the boundaries of the grid) is surrounded by eight squaresthat contain other cells. The rules are stated as follows:1. Survival: Each cell that has two or three adjacent cells survives until the next generation.2. Death: Each cell that has at least four adjacent cells disappears (or dies) by overpopulation.Also, each cell that has at most one adjacent cell dies by isolation.3. Birth: Each empty square (i.e., dead cell) that is adjacent to exactly three cells gives birthto a new cell for the next generation.It is worth noting that all births and deaths occur at the same time during a generation.Write a program that simulates this game and displays all successive…tonquage accepting any no.fa's } prite a P.E for the and b's over, & = {a,b?C Program: An integer number is said to be a perfect number if its factors, including 1 (but not the number itself), sum to the number. For example, 6 is a perfect number because 6 = 1 + 2 + 3. I have written a function called isPerfect (see below), that determines whether parameter passed to the function is a perfect number. Use this function in a C program that determines and prints all the perfect numbers between 1 and 1000. Print the factors of each perfect number to confirm that the number is indeed perfect. // isPerfect returns true if value is perfect integer, // i.e., if value is equal to sum of its factors int isPerfect(int value) { int factorSum = 1; // current sum of factors // loop through possible factor values for (int i = 2; i <= value / 2; ++i) { // if i is factor if (value % i == 0) { factorSum += i; // add to sum } } // return true if value is equal to sum of factors if (factorSum == value) { return…
- computer science | c++ code | it's not graded. Correct answer will upvoted else downvoted. It is given a non-negative integer x, the decimal portrayal of which contains n digits. You need to shading every its digit in red or dark, so the number shaped by the red digits is separable by A, and the number framed by the dark digits is detachable by B. No less than one digit should be shaded in every one of two tones. Consider, the include of digits hued in red is r and the include of digits hued in dark is b. Among all potential colorings of the given number x, you need to output any to such an extent that the worth of |r−b| is the base conceivable. Note that the number x and the numbers shaped by digits of each tone, may contain driving zeros. Input :The principal line contains one integer t (1≤t≤10) — the number of experiments. Then, at that point, t experiments follow. Each experiment comprises of two lines. The main line contains three integers n, A, B (2≤n≤40, 1≤A,B≤40).…1. Determine |A|, where: {z} b. A = {{z}} _d. A = {z, {z}, {z, {z}}} _e. A = P({z}) _f. A = P({Ø,z}) a. A = _c. A = {z, {z}}This question should be answered in C++ programming language. Please answer part 2 of this question as part 1 has already been answered through chegg. if GPA in the range of 2.5(inclusive) - 3:B if GPA in the range of 2(inclusive) - 2.5:C Less than 2: D > Print_Std_Info() : This function accepts the id of one student and prints out all the information of that student (all the attributes). Purpose: The purpose of this project is to allow you practice Object Oriented Design, Pointers, File /0, Exception Handling, Functions and Arrays. > Comapre_GPA(): This function compares the GPA of two students and returns the id of the student who has the higher GPA. Problem Objective: The objective of this problem is to create a fully functioning system that handles the records of students at Concordia University. Based on the following narrative, you need to come up with an Object-Oriented design to represent the different entities in the system. Part 2: Faculty Class: Assume the faculty of…
- Q3: Superheroes Supervillains are tired of Toronto condo rental prices, so they are leaving Toronto for Mississauga. Luckily, we have valiant superheroes that can deal with them. The superhero () has a name , an intelligence score , and a strength score .ni-th0 = gin[x] + s[x] Detective Zingaro has asked for your help. For each of the supervillains, tell him the name of the superhero that should deal with that supervillain. Note: A superhero can be assigned to multiple supervillains (or none at all). Note: whenever there are multiple superheroes that satisfy the given requirements for a supervillain, report the one whose name is lexicographically smallest (i.e. the one that’s the smallest according to Python’s ordering of strings). It’s guaranteed that superheroes have distinct names. Hint: Tuples of multiple elements may be helpful here. In python, you can compare two tuples and . If and are different, the result is the same as comparing and . If and are equal, the result is the same…Programming Language :- C 7. A function is defined for a positive integer n as follows: 3n + 1, if n is odd f(n) = { n if n is even 2 We consider the repeated application of the function starting with a given integer n, as follows: f(n), f(f(n)), f(f(f(n))), It is conjectured that no matter which positive integer n you start from; this sequence eventually will reach to 1. If n = 13, the sequence will be 13, 40, 20, 10, 5, 16, 8, 4, 2, 1. Thus if you start from n = 13, you need to apply function 10 times to reach 1. Write a recursive function that takes n as an input number and returns how many times function f has to be applied repeatedly to reach 1.Let L₁ = {aa, bb}, L₂ = {A, a, aa}, L3 = {x | x = {a,b}* ^ |x| ≤ 3} = {A, a, b, aa, ab, ba, bb, aaa, aab, aba, abb, baa, bab, bba, bbb}. Evaluate: (L₁n L3) · L2 = •