Java Language... has to be able to pass JUNit test.

Problem 1: (70 points)

Create a program named RecursiveMethods.java and implement the following methods:

public static int smallest(int[] arr) (20 points)

This method finds and returns the smallest value in the int array. (To get credit, it MUST be implemented as a recursive method. No credit if implemented with loop)

public static int smallest(int[][] arr) (20 points)

This method finds and returns the smallest value in the 2D int array. (To get credit, it MUST be implemented as a recursive method. No credit if implemented with loop)

public static String repeat(String s, int n) (30 points)

It accepts a string s and an integer n as parameters and that returns a String consisting of n copies of s. For example:

Call Value Returned

repeat("hello", 3) "hellohellohello"

repeat("this is fun", 1) "this is fun"

repeat("wow", 0) ""

repeat("hi ho! ", 5) "hi ho! hi ho! hi ho! hi ho! hi ho! "

You should solve this problem by concatenating String objects using the + operator. String concatenation is an expensive operation, so it is best to minimize the number of concatenation operations you perform. For example, for the call repeat("foo", 500), it would be inefficient to perform 500 different concatenation operations to obtain the result. Most of the credit (25 points) will be awarded on the correctness of your solution independent of efficiency. The remaining credit (5 points) will be awarded based on your ability to minimize the number of concatenation operations performed.

Your method should throw an IllegalArgumentException if passed any negative value for n. You are not allowed to construct any structured objects other than Strings (no array, List, Scanner, etc.) and you may not use any loops to solve this problem; you must use recursion.

Then use the following code to test your methods (copy/paste to main method)

int[] arr={2,4,3,89,0, -9};

System.out.println(smallest(arr));

int[][] ar={{1,2,3,4,1,0},{0,-8,-90}};

System.out.println(smallest(ar));

System.out.println(repeat(args[0], Integer.parseInt(args[1])));