f : {1, 2, 3} ® {a, b, c, d} f(1) = c f(2) = b f(3) = a g : {a, b, c, d} ® {x, y, z} g(a) = y g(b) = x g(c) = x g(d) = z Find the composition gof
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f : {1, 2, 3} ® {a, b, c, d} f(1) = c f(2) = b f(3) = a
g : {a, b, c, d} ® {x, y, z} g(a) = y g(b) = x g(c) = x g(d) = z
Find the composition gof
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- Write a function below that will take a 2d array of booleans representing a map as a parameter which will construct a vgraph as a searchable graph. You many use go, python or java do to this.Programming Language: C Write the following three functions: a) The function gets an array A of length n of ints, and a boolean predicate pred. It returns the smallest index i such that pred(A[i])==true. If no such element is not found, the function returns -1. int find(int* A, int n, bool (*pred)(int)); b) The function gets an array A of length n of ints, and a function f. It applies f to each element of A. void map(int* A, int n, int (*f)(int)); c) The function gets an array A of length n of ints, and a function f. The function f gets 2 ints and works as follows: 1. Start with accumulator = A[0] 2. For i=1...length-1 compute accumulator=f(accumulator, A[i]) 3. Return accumulator For example, if f computes the sum of the two inputs, then reduce() will compute the sum of the entire array. int reduce(int* A, int n, int (*f)(int,int)); Test for the functions: // used for test Q3-find bool is_even(int x) { return x%2 == 0; } bool is_positive(int x) { return x>0; } void…please help me with the following 1) make a sierpenski triangle using java and recursion. Make it similar to the code below. And please comment the code 2) Please make the follow code out put on the console. It a t square fractal import java.awt.image.*;import java.awt.Color;import java.io.*;import javax.imageio.*; public class Main{ static final int DIMENSION = 1000; static BufferedImage image = new BufferedImage(DIMENSION, DIMENSION, BufferedImage.TYPE_INT_RGB); static final int WHITE = Color.WHITE.getRGB(); static final int BLACK = Color.BLACK.getRGB(); private static void drawSquare(int x, int y, int side) { if (side <= 0) return; else { int left = x - side/2; int top = y - side/2; int right = x + side/2; int bottom = y + side/2; for (int i = left; i < right; i++) for (int j = top; j < bottom; j++) { image.setRGB(i, j, BLACK); }…
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- Write a recursive Java function displayOutIn that displays two items from an array list at one instance from out-to-in. until one or last two items displayed and the process stops. For example, given array A = {15, 74, 106, 10, 9, 86, 34} the displayOutIn function displays the following: 15, 34 74, 86 106, 9 101.a. Write a Regular Expression Language over ∑ = {a,b,c} a set of strings terminated by a or b. .b. Write a regular expression for the set of binary strings where each string has at least one pair of consecutive zeros. c. write the regular expression for the following, where sigma = (a,b): i. string of length at least 2 ii. string of length at most 2 iii. all string starting with a and ending with b iv. Even length StringsWrite the following three functions: a) The function gets an array A of length n of ints, and a boolean predicate pred. It returns the smallest index i such that pred(A[i])==true.If no such element is not found, the function returns -1.int find(int* A, int n, bool (*pred)(int)); b) The function gets an array A of length n of ints, and a function f. It applies f to each element of A.void map(int* A, int n, int (*f)(int)); c) The function gets an array A of length n of ints, and a function f. The function f gets 2 ints and works as follows: Start with accumulator = A[0] For i=1...length-1 compute accumulator=f(accumulator, A[i]) Return accumulator For example, if f computes the sum of the two inputs, then reduce() will compute the sum of the entire array.int reduce(int* A, int n, int (*f)(int,int));