Consider an alternative method.

Do the trace in detail and submit  The source Code As Well From the following recursive method Trace (in details) the calling of the above method with any input from your choice such that thereturned value will be 19. public static int think(int x) {if(x<10)if(x%2!=0)return x;elsereturn 0;elseif(x%2!=0)return x%10 + think(x/10);elsereturn think(x/10);}

Question 2, please. Returns a pair consisting of the max value in the AD, and of the set of keys that attain that value.

Use java and properly indent code.

In writing a general-purpose sort method in Java, the sort method needs to compareobjects. There are two ways to give the sort method the code to compare objects,implementing the interfaces Comparable and Comparator respectively. Extend Article class toimplement Comparable interface so that the default sorting of the Articles is by its volume

Write a method called drawDiamond() that outputs lines of '*' to form a Diamond with equal length diagonals. Method drawDiamond() has one parameter, an integer representing the diagonal of the diamond. Assume the diagonal length is always odd and less than 20. Output 9 spaces before the first '*' on the first line for correct formatting. Either drawTriangle or at least one of its helper methods must be recursive. Ex: If the input of the program is: 3 the method drawDiamond() outputs:  * ***  * Ex: If the input of the program is: 15 the method drawDiamond() outputs:        *       ***      *****     *******    *********   ***********  ************ ***************  *************   ***********    *********     *******      *****       ***        * Note: the diamond is made up of a rightside up triangle and an upside down triangle.       import java.util.Scanner; public class LabProgram {      /* TODO: Write drawDiamond() method here. */   /* You can add other helper methods if needed…

change Summation Integers problem to Finding the minimumproblem. Make sure you properly wrote/updated all text messages, method names,and math calculations.Hint: You can use java.lang.Math.min() method.Example: System.out.printf("The min of the integers %4d and %4d and %4dis %7d\n", a, b, c, MinTest(a, b, c));

Thank you! base on these methods, I want to write one more method Spec for method 5: A method to print a text-based histogram takes one parameter, an array of integers no return value image 2 is the example of expected output. Hint: basically it means base on the file, if number 20 appears once in the file, then I will print one star(*) after the number 20. I think we can get these information from method 4

Write a Java program that expands a given binomial (x + y)^n, where integer n is user input. To do the work of the binomial expression, first create a method that accepts n as a parameter and then returns an array holding the coefficients needed for the binomial expansion using the Pascal’s Triangle method. Create a 2nd method which takes the array holding the coefficients as a parameter and prints the appropriate binomial expansion. For example, if n = 5 is entered by the user, the method calculating the coefficients should return {1,5,10,10,5,1} and the method that prints the expansion should print the following: (x + y)^5 = x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5 Your main method should use an appropriate loop for repeated inputs and automatically call the methods to calculate the coefficients and print the binomial expansion. There isn’t a need for a menu although you should ask the user if they want to quit or continue after their binomial expansion is printed each time.…