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8 changes: 8 additions & 0 deletions config.json
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Expand Up @@ -301,6 +301,14 @@
"prerequisites": [],
"difficulty": 4
},
{
"slug": "perfect-numbers",
"name": "Perfect Numbers",
"uuid": "2469236b-15db-4336-9b47-d762de2ec2a6",
"practices": [],
"prerequisites": [],
"difficulty": 4
},
{
"slug": "spiral-matrix",
"name": "Spiral Matrix",
Expand Down
39 changes: 39 additions & 0 deletions exercises/practice/perfect-numbers/.docs/instructions.md
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# Instructions

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](#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

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
21 changes: 21 additions & 0 deletions exercises/practice/perfect-numbers/.meta/config.json
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{
"authors": [
"IsaacG"
],
"files": {
"solution": [
"perfect_numbers.gd"
],
"test": [
"perfect_numbers_test.gd",
"run_tests",
"lib/test_runner.gd"
],
"example": [
".meta/example.gd"
]
},
"blurb": "Determine if a number is perfect, abundant, or deficient based on Nicomachus' (60 - 120 CE) classification scheme for positive integers.",
"source": "Taken from Chapter 2 of Functional Thinking by Neal Ford.",
"source_url": "https://nealford.com/books/functionalthinking.html"
}
15 changes: 15 additions & 0 deletions exercises/practice/perfect-numbers/.meta/example.gd
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func classify(number: int):
if number < 1:
return null

var aliquot = 0
for i in range(1, number):
if number % i == 0:
aliquot += i
if aliquot == number:
return "perfect"
elif aliquot > number:
return "abundant"
else:
return "deficient"

12 changes: 12 additions & 0 deletions exercises/practice/perfect-numbers/.meta/template.j2
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@@ -0,0 +1,12 @@
{% for case in cases %}
func test_{{ case.func_name }}(solution_script):
var got = solution_script.{{ case.property }}({{ case.given | togdscript }})
{%- if not case.expect_error %}
var want = {{ case.expected | togdscript }}
{%- else %}
var want = null
{%- endif %}
return [got, want]

{% endfor %}

52 changes: 52 additions & 0 deletions exercises/practice/perfect-numbers/.meta/tests.toml
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# This is an auto-generated file.
#
# Regenerating this file via `configlet sync` will:
# - Recreate every `description` key/value pair
# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications
# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion)
# - Preserve any other key/value pair
#
# As user-added comments (using the # character) will be removed when this file
# is regenerated, comments can be added via a `comment` key.

[163e8e86-7bfd-4ee2-bd68-d083dc3381a3]
description = "Perfect numbers -> Smallest perfect number is classified correctly"

[169a7854-0431-4ae0-9815-c3b6d967436d]
description = "Perfect numbers -> Medium perfect number is classified correctly"

[ee3627c4-7b36-4245-ba7c-8727d585f402]
description = "Perfect numbers -> Large perfect number is classified correctly"

[80ef7cf8-9ea8-49b9-8b2d-d9cb3db3ed7e]
description = "Abundant numbers -> Smallest abundant number is classified correctly"

[3e300e0d-1a12-4f11-8c48-d1027165ab60]
description = "Abundant numbers -> Medium abundant number is classified correctly"

[ec7792e6-8786-449c-b005-ce6dd89a772b]
description = "Abundant numbers -> Large abundant number is classified correctly"

[05f15b93-849c-45e9-9c7d-1ea131ef7d10]
description = "Abundant numbers -> Perfect square abundant number is classified correctly"

[e610fdc7-2b6e-43c3-a51c-b70fb37413ba]
description = "Deficient numbers -> Smallest prime deficient number is classified correctly"

[0beb7f66-753a-443f-8075-ad7fbd9018f3]
description = "Deficient numbers -> Smallest non-prime deficient number is classified correctly"

[1c802e45-b4c6-4962-93d7-1cad245821ef]
description = "Deficient numbers -> Medium deficient number is classified correctly"

[47dd569f-9e5a-4a11-9a47-a4e91c8c28aa]
description = "Deficient numbers -> Large deficient number is classified correctly"

[a696dec8-6147-4d68-afad-d38de5476a56]
description = "Deficient numbers -> Edge case (no factors other than itself) is classified correctly"

[72445cee-660c-4d75-8506-6c40089dc302]
description = "Invalid inputs -> Zero is rejected (as it is not a positive integer)"

[2d72ce2c-6802-49ac-8ece-c790ba3dae13]
description = "Invalid inputs -> Negative integer is rejected (as it is not a positive integer)"
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