`1` ```exercism fetch elixir 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)`.

## Running tests

Execute the tests with:

 `1` ```\$ elixir bob_test.exs ```

(Replace `bob_test.exs` with the name of the test file.)

### Pending tests

In the test suites, all but the first test have been skipped.

Once you get a test passing, you can unskip the next one by commenting out the relevant `@tag :pending` with a `#` symbol.

For example:

 ```1 2 3 4``` ```# @tag :pending test "shouting" do assert Bob.hey("WATCH OUT!") == "Whoa, chill out!" end ```

Or, you can enable all the tests by commenting out the `ExUnit.configure` line in the test suite.

 `1` ```# ExUnit.configure exclude: :pending, trace: true ```

For more detailed information about the Elixir track, please see the help page.

## 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.