`1` ```exercism fetch csharp palindrome-products ```

Palindrome Products

Detect palindrome products in a given range.

A palindromic number is a number that remains the same when its digits are reversed. For example, `121` is a palindromic number but `112` is not.

Given the definition of a palindromic number, we define a palindrome product to be the product `c`, such that `a * b = c`, where `c` is a palindromic number and `a` and `b` are integers (possibly, but not necessarily palindromic numbers).

For example, the palindromic number 9009 can be written as the palindrome product: `91 * 99 = 9009`.

It's possible (and indeed common) for a palindrome product to be the product of multiple combinations of numbers. For example, the palindrome product `9` has the factors `(1, 9)`, `(3, 3)`, and `(9, 1)`.

Write a program that given a range of integers, returns the smallest and largest palindromic product within that range, along with all of it's factors.

Example 1

Given the range `[1, 9]` (both inclusive)...

The smallest product is `1`. It's factors are `(1, 1)`. The largest product is `9`. It's factors are `(1, 9)`, `(3, 3)`, and `(9, 1)`.

Example 2

Given the range `[10, 99]` (both inclusive)...

The smallest palindrome product is `121`. It's factors are `(11, 11)`. The largest palindrome product is `9009`. It's factors are `(91, 99)` and `(99, 91)`.

Hints

For this exercise, you will need to create a set of factors using tuples. For more information on tuples, see this link.

Submitting Exercises

Note that, when trying to submit an exercise, make sure the exercise file that you're submitting is in the `exercism/csharp/<exerciseName>` directory.

For example, if you're submitting `bob.cs` for the Bob exercise, the submit command would be something like `exercism submit <path_to_exercism_dir>/csharp/bob/bob.cs`.

Source

Problem 4 at Project Euler http://projecteuler.net/problem=4

Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.