# Palindrome Products in Elixir

#### Detect palindrome products in a given range.

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:

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.