Programming language: JAVA, (Eclips)

Given the skeleton code for class Pattern, complete the methods that are required to make the patterns as shown in the section of sample output. Write a method for each pattern. In addition, you need to add a print method to print these patterns.

Each of these methods takes a 2D array variable as input parameter, generates a pattern and stores back into the 2D array. Each print method is responsible for printing a pattern.

A skeleton code for class Pattern:

 import java.util.Scanner; public class Pattern { public static void main(String[] args) { Scanner input = new Scanner(System.in); System.out.println("Enter the height and width of a rectangle: "); int height = input.nextInt(); //The height of the rectangle int width = input.nextInt(); //The width of the rectangle System.out.println("Enter the row and column indice for a point through which two 45 degree diagonals pass: "); int r = input.nextInt(); //The row index int c = input.nextInt(); //The column index int rows = height + 1; //The number of rows of the rectangle int cols = width + 1; //The number of columns of the rectangle int [][] a = new int[rows][cols]; //Create a 2D array with size of rows by cols System.out.println(" A rectangle with 0's in the upper triangle and 1's in the lower triangle:"); createRectangle(a); print(a); System.out.println(" Two 45 degree diagonals pass through a point (" + r + ", " + c + "):"); createTwoDiagonals(a, r, c); print(a); System.out.println(" A rectangle with a half-sized rectangular hole:"); createRectangularHole(a); print(a); System.out.println(" A rectangle with a circular hole:"); createCircularHole(a); print(a); System.out.println(" A rectangle with a sin curve:"); createSinCurve(a); print(a); } //This method takes an allocated 2D array and create a 2D pattern and store into the array. public static void createRectangularHole(int [][] p) { int rows = p.length; int cols = p[0].length; int h = rows - 1; int w = cols - 1; for (int i = 0; i  
 
 
 
 
 
 
  2. Sample output: Enter the height and width of a rectangle: 20 34 Enter the row and column indice for a point through which two 45 degree diagonal s pass: 8 18 A rectangle with O's in the upper triangle and I's in the lower triangle: Read this handout for mathematical formula for this question.                Two 45 degree diagonals pass through a point (8, 18): 1 1 1 1  1 1 1 1  1 1  1 1 eee1  1 01  1 1 01    1  1   1 1 1 1 1 1 eeeeeeeee1 1  eeeeeeee1 1  eeeeeee1 1  eeeeee1 1  A rectangle with a half-sized rectangular hole:         1   1  1          1          A rectangle with a circular hole. The radius of the hole = 1/4 * max(width, height of the rectangle).           1   1     1   1   1 1   1  1 1         A rectangle with a sin curve: 1 1 1 1  1  1 1  11   1   11 0 1 1eeeeeeeeeeeeeeee1  01   11   eee1 1  eeee1  eeeee1 eeeeee1  eeeeee1eeee1  eeeeeee1 1 1 1    2. Sample output: Enter the height and width of a rectangle: 20 34 Enter the row and column indice for a point through which two 45 degree diagonal s pass: 8 18 A rectangle with O's in the upper triangle and I's in the lower triangle: Read this handout for mathematical formula for this question.                Two 45 degree diagonals pass through a point (8, 18): 1 1 1 1  1 1 1 1  1 1  1 1 eee1  1 01  1 1 01    1  1   1 1 1 1 1 1 eeeeeeeee1 1  eeeeeeee1 1  eeeeeee1 1  eeeeee1 1  A rectangle with a half-sized rectangular hole:         1   1  1          1          A rectangle with a circular hole. The radius of the hole = 1/4 * max(width, height of the rectangle).           1   1     1   1   1 1   1  1 1         A rectangle with a sin curve: 1 1 1 1  1  1 1  11   1   11 0 1 1eeeeeeeeeeeeeeee1  01   11   eee1 1  eeee1  eeeee1 eeeeee1  eeeeee1eeee1  eeeeeee1 1 1 1