MATLAB code that matches the value from two variables within certain parameters. It can only use for or while loops, conditional statements, Boolean logic, or logical operators to find a match between the two inputs. For example, one input can be x = 42 and b = 61, and these two inputs would yield a match. The first condition that needs to be met to obtain a match is that x can be equal to 2, 21, 40, and 59. Variable b must also be equal to these values to have a match. The values for x have to increase by one for every loop iteration until the final values for x are: 19, 38, 57, and 76. So the matching has to take place within the same values for x as for b and within those range of values described. If a match is found then set b = d

This is a programming assignment. You can use any programming language. Program a GeneticAlgorithm to find an integer number between 0 and 31 that maximizes the function f (x) = x2.The initial procedure is given as below.• Population size: 6• Crossover probability: 100%• Mutation probability: 5%• Terminating criteria:o When your program produces an average of candidates is equal to or greater than29, then you can accept it as a terminating condition.• Fitness function:o You can use the function itself (f (x) = x2)as your fitness function.1. For the 1st generation, you need to print the process and result of selection, crossover, andmutation operation.you need to print the corresponding integer values and bits (binary values)of selection, crossover, and mutation operation. You also need to decide andprint the crossover point and the mutation point.2. From the 2nd generation, you do not have to print all results of selection, crossover,mutation operations. You can just print the result…

A chess knight, on one turn, moves either two squares vertically and one horizontally, or two horizontally and one vertically. If we consider a knight starting at the point ⟨x, y⟩ in Z × Z, it has eight possible moves, to ⟨x+1,y+2⟩,⟨x+1,y−2⟩,⟨x−1,y+2⟩,⟨x−1,y−2⟩,⟨x+ 2, y + 1⟩, ⟨x + 2, y − 1⟩, ⟨x − 2, y + 1⟩, or⟨x − 2, y − 1⟩. (a)  Prove that given any two points ⟨x, y⟩ and ⟨x′, y′⟩ in Z × Z, there is a sequence of knight moves from the first point to the second. (b)  Let a and b be different positive naturals. An (a, b)-knight also has eight possible moves, from ⟨x,y⟩ to ⟨x±a,y±b⟩ or ⟨x±b,y±a⟩. What conditions on a and b allow the (a, b)-knight to go from any point in Z × Z to any other? Prove your answer. (c)  If a and b do not meet the conditions of part (b), exactly which points can the (a,b)- knight reach from ⟨x, y⟩

Consider this evaluation function for Chess: 9* (QWQB) + 5*(RW - RB) + 3*(KW - KB) + 3*(BW - BB) + 1*(PW - PB) where: QW denotes the number of Queens that White has, QB denotes the number of Queens that Black has, and so on (the shapes and letters for pieces are shown below). ด KING QUEEN BISHOP KNIGHT ROOK PAWN Q B K R P Calculate the evaluation function value for the following game state: 1 ♡ 7