Question

# Finding number pairs that add to n without using arrays or hashing

## Problem

Given a number n between 1 and 12 (inclusive), your job is to find all the pairs of numbers that produce n when summed. For instance, given the number 5, two possible pairs of numbers are`1, 4` and `2, 3`. Each number in the pair must be unique, meaning that `3, 3` is not a valid pair to sum to 6.
You will be writing a method to accomplish this goal.

## sumOfPairs()

Your method will take as a parameter the integer n to find sums of.
Your method should return a String containing all of the pairs of numbers that sum to n. If there are no such pairs, you should return the String “NONE”.

## Main Method

You should also fill in the `main` method to test the `sumOfPairs()` method.
Your `main` method should get user input, then call the method with the value retrieved. The user shouldn’t be allowed to enter a number outside of the available range (1 - 12 inclusive). Your program should continue asking for input until the user enters 0.

## Sample Run

```Enter a number between 1 and 12 inclusive (0 to quit): 2
Pairs for 2: NONE
Enter a number between 1 and 12 inclusive (0 to quit): 3
Pairs for 3: 1 2
Enter a number between 1 and 12 inclusive (0 to quit): 5
Pairs for 5: 1 4, 2 3
Enter a number between 1 and 12 inclusive (0 to quit): 15
Out of range, try again!
Enter a number between 1 and 12 inclusive (0 to quit): 0```

good luck body

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