Write a Java class called "Colors.java" that generates two random colors, then it applies a mathematical scaling formula to the randomly generated colors. To declare Colors class, you need to declare the following three methods plus the main method: 1. public static int randomColor ()(-) Write a public static method called randomColor that generates and returns a random primary color code based on the codes shown in the table below. (Hint: you must use an object from SecureRandom class). Primary Color Title Primary Color Code Red 153 Yellow 255 Blue 357 Orange 459 Purple 561 Green 663 2. public static void printColorName (int color) {-} Write a public static method callcd printColorName that receives the color code and prints the color name. (Hint: the color names are shown in the table above with their codes). 3. public static int scaleColor (int X, int Color) {- } Write a public static method called scaleColor which calculates and returns the color code after scaling it by a parameter X (where X is an integer input from the user from 1 to 10 only). For scaling, use the scaling formula below: VCode X scaleColor (X, Code) = 10 (Hint: you must use Math.pow and Math.sqrt from Math class, and X should be read in the main method not inside this method). In the main method of your Colors class, do the following using the methods defined above: 1. First, randomly generate two colors using the static method randomColor (and make sure the generated color codes are NOT the same), then print their color codes in the main method. 2. Next, print the color name by calling printColorName for each generated color. 3. Finally, scale your colors with the value of X (where X value is a user input from 1 to 10) using scaleColor method, and print cach scaled color code after scaling. (Hint. you must apply user validation on X to be from 1 to 10 only).

Please explain your answer for both questions. For the first part n is greater than or equal to zero

Using MATLAB : Please explain the process of how you constructed your code and provide screenshots of the output, pictures and graph

Demonstrate that the following issue falls within the NP class: A set S of integers and an integer number t are provided to us. Does a subset of S such that the product of its components equals t? Note: Problem with Data Structures and Algorithms