Please create one project for all the problems in this assignment.

Recursive Sum of Numbers

Write a recursive static method int recursiveSum(int num) that accepts a

positive integer argument and returns the sum of all the integers from 1 up to the number

passed as an argument. For example, if 50 was passed as an argument, the method will

return the sum: 1+2+3++50. Make the method throw IllegalArgumentException when

argument is less than 0.

Requirement:

*Your method must not use any global variables or static fields. Only local

variables can be used in the method implementation.

*Test the method in main(). Hardcode all your test cases in main().

*Add this new method to the project named Recursive.java

Recursive Sum of Array Elements

Write a recursive static method int recArraySum(int[] nums, int i) that

accepts an array of integers and an index i and returns the sum of all elements of that

array up to and including element with the index i.

Test the method in main(). Hardcode all your test cases in main().

Requirement:

*Your method must not use any global variables or static fields. Only local

variables can be used in the method implementation.

*Add this new method to the project named Recursive.java

Recursive Selection Sort

Convert the regular iterative selection sort method into the recursive static one. In order

to achieve that, replace the outer loop in the solution by recursive calls and leave the

second (inner) loop to be more or less as it is.

*Test your method in main().

*Make sure that your code works for arrays of size 1, 2, and 3 as well as a regular unsorted array. Do not use user input when testing the method hardcode all the test cases.

Requirement:

*Your method must not use any global variables or fields. Only local

variables can be used in the method implementation.

*Add this new method to the project named Recursive.java

Recursive Print

Implement method public static void printPattern(int n) that can

print a pattern of numbers in a shape of a pyramid, similar to the ones you see below.

n can be any positive integer number. Make the method throw IllegalArgumentException

when argument is less than or equal to 0.

Requirements:

1. There must be NO LOOP STRUCTURES used in your method implementation.

All repetitions must be implemented with the help of recursion. This means you

will need to write additional recursive as well as non-recursive methods to replace

nested loops needed in code.

2. Try having no more than 2 recursive methods in your implementation. The

number of non-recursive methods is unlimited.

3. Your methods must not use any global variables or static fields. Only local

variables can be used in the method implementations.

printPattern(5)

1

212

32123

4321234

543212345

printPattern(3)

1

212

32123

Test the method in main() by hardcoding all your test cases.

Add this new method to the project named Recursive.java