An algorithm is a step-by-step method by which elements of the desired input set are mapped to elements of the legal output set. True or False?

preLabC.java 1 import java.util.Random; 2 import java.util.StringJoiner; 3 4- public class preLabC { 5 6- 7 8 9 10 11 12 13 14 15 16 17 18 19 20 } public static String myMethod(MathVector inputVector) { String vectorStringValue = new String(); // empty String object System.out.println("here is the contents object, inputVector: + inputVector); // get a String out of that MathVector object. Do it here. On the next line. // return the double value here. return vectorStringValue; "1 ▸ Compilation Description A MathVector object will be passed to your method. Return its contents as a String. If you look in the file MathVector.java you'll see there is a way to output the contents of a MathVector object as a String. This makes it useful for displaying to the user. /** * Returns a String representation of this vector. The String should be in the format "[1, 2, 3]" * * @return a String representation of this vector * @apiNote **DO NOT** use the built-in (@code Arrays.toString()} method. */…

Java Design and draw a method called check() to check if characters in a  linked list is a palindrome or not e.g "mom" or "radar" or "racecar. spaces are ignored, we can call the spaces the “separator”. The method should receive the separator as a variable which should be equal to “null” when no separator is used.

JavaTimer.java: import java.util.Arrays;import java.util.Random; public class JavaTimer { // Please expand method main() to meet the requirements.// You have the following sorting methods available:// insertionSort(int[] a);// selectionSort(int[] a);// mergeSort(int[] a);// quickSort(int[] a);// The array will be in sorted order after the routines are called!// Be sure to re-randomize the array after each sort.public static void main(String[] args) {// Create and initialize arraysint[] a = {1, 3, 5}, b, c, d;// Check the time to sort array along startTime = System.nanoTime();quickSort(a);long endTime = System.nanoTime();long duration = (endTime - startTime) / 1000l;// Output resultsSystem.out.println("Working on an array of length " + a.length + ".");System.out.println("Quick sort: " + duration + "us.");}// Thanks to https://www.javatpoint.com/insertion-sort-in-javapublic static void insertionSort(int array[]) {int n = array.length;for (int j = 1; j < n; j++) {int key = array[j];int…