Synced practice exercise docs to problem specificatons. (#3573)

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BethanyG
2023-12-27 05:05:44 -08:00
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Determine if a number is perfect, abundant, or deficient based on Nicomachus' (60 - 120 CE) classification scheme for positive integers.
The Greek mathematician [Nicomachus][nicomachus] devised a classification scheme for positive integers, identifying each as belonging uniquely to the categories of **perfect**, **abundant**, or **deficient** based on their [aliquot sum][aliquot-sum].
The aliquot sum is defined as the sum of the factors of a number not including the number itself.
The Greek mathematician [Nicomachus][nicomachus] devised a classification scheme for positive integers, identifying each as belonging uniquely to the categories of [perfect](#perfect), [abundant](#abundant), or [deficient](#deficient) based on their [aliquot sum][aliquot-sum].
The _aliquot sum_ is defined as the sum of the factors of a number not including the number itself.
For example, the aliquot sum of `15` is `1 + 3 + 5 = 9`.
- **Perfect**: aliquot sum = number
- 6 is a perfect number because (1 + 2 + 3) = 6
- 28 is a perfect number because (1 + 2 + 4 + 7 + 14) = 28
- **Abundant**: aliquot sum > number
- 12 is an abundant number because (1 + 2 + 3 + 4 + 6) = 16
- 24 is an abundant number because (1 + 2 + 3 + 4 + 6 + 8 + 12) = 36
- **Deficient**: aliquot sum < number
- 8 is a deficient number because (1 + 2 + 4) = 7
- Prime numbers are deficient
## Perfect
Implement a way to determine whether a given number is **perfect**.
Depending on your language track, you may also need to implement a way to determine whether a given number is **abundant** or **deficient**.
A number is perfect when it equals its aliquot sum.
For example:
- `6` is a perfect number because `1 + 2 + 3 = 6`
- `28` is a perfect number because `1 + 2 + 4 + 7 + 14 = 28`
## Abundant
A number is abundant when it is less than its aliquot sum.
For example:
- `12` is an abundant number because `1 + 2 + 3 + 4 + 6 = 16`
- `24` is an abundant number because `1 + 2 + 3 + 4 + 6 + 8 + 12 = 36`
## Deficient
A number is deficient when it is greater than its aliquot sum.
For example:
- `8` is a deficient number because `1 + 2 + 4 = 7`
- Prime numbers are deficient
## Task
Implement a way to determine whether a given number is [perfect](#perfect).
Depending on your language track, you may also need to implement a way to determine whether a given number is [abundant](#abundant) or [deficient](#deficient).
[nicomachus]: https://en.wikipedia.org/wiki/Nicomachus
[aliquot-sum]: https://en.wikipedia.org/wiki/Aliquot_sum

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The format is usually represented as
```text
(NXX)-NXX-XXXX
NXX NXX-XXXX
```
where `N` is any digit from 2 through 9 and `X` is any digit from 0 through 9.
Your task is to clean up differently formatted telephone numbers by removing punctuation and the country code (1) if present.
Sometimes they also have the country code (represented as `1` or `+1`) prefixed.
Your task is to clean up differently formatted telephone numbers by removing punctuation and the country code if present.
For example, the inputs

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@@ -8,18 +8,14 @@ A chessboard can be represented by an 8 by 8 array.
So if you are told the white queen is at `c5` (zero-indexed at column 2, row 3) and the black queen at `f2` (zero-indexed at column 5, row 6), then you know that the set-up is like so:
```text
a b c d e f g h
8 _ _ _ _ _ _ _ _ 8
7 _ _ _ _ _ _ _ _ 7
6 _ _ _ _ _ _ _ _ 6
5 _ _ W _ _ _ _ _ 5
4 _ _ _ _ _ _ _ _ 4
3 _ _ _ _ _ _ _ _ 3
2 _ _ _ _ _ B _ _ 2
1 _ _ _ _ _ _ _ _ 1
a b c d e f g h
```
![A chess board with two queens. Arrows emanating from the queen at c5 indicate possible directions of capture along file, rank and diagonal.](https://assets.exercism.org/images/exercises/queen-attack/queen-capture.svg)
You are also able to answer whether the queens can attack each other.
In this case, that answer would be yes, they can, because both pieces share a diagonal.
## Credit
The chessboard image was made by [habere-et-dispertire][habere-et-dispertire] using LaTeX and the [chessboard package][chessboard-package] by Ulrike Fischer.
[habere-et-dispertire]: https://exercism.org/profiles/habere-et-dispertire
[chessboard-package]: https://github.com/u-fischer/chessboard

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[restful-wikipedia]: https://en.wikipedia.org/wiki/Representational_state_transfer
[iou]: https://en.wikipedia.org/wiki/IOU
[github-rest]: https://developer.github.com/v3/
[reddit-rest]: https://www.reddit.com/dev/api/
[reddit-rest]: https://web.archive.org/web/20231202231149/https://www.reddit.com/dev/api/
[restfulapi]: https://restfulapi.net/