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* Add `perfect-numbers` * Remove empty classificaton enum
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# Instructions | ||
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Determine if a number is perfect, abundant, or deficient based on Nicomachus' (60 - 120 CE) classification scheme for positive integers. | ||
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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`. | ||
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## Perfect | ||
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A number is perfect when it equals its aliquot sum. | ||
For example: | ||
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- `6` is a perfect number because `1 + 2 + 3 = 6` | ||
- `28` is a perfect number because `1 + 2 + 4 + 7 + 14 = 28` | ||
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## Abundant | ||
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A number is abundant when it is less than its aliquot sum. | ||
For example: | ||
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- `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` | ||
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## Deficient | ||
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A number is deficient when it is greater than its aliquot sum. | ||
For example: | ||
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- `8` is a deficient number because `1 + 2 + 4 = 7` | ||
- Prime numbers are deficient | ||
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## Task | ||
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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). | ||
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[nicomachus]: https://en.wikipedia.org/wiki/Nicomachus | ||
[aliquot-sum]: https://en.wikipedia.org/wiki/Aliquot_sum |
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{ | ||
"authors": [ | ||
"BNAndras" | ||
], | ||
"files": { | ||
"solution": [ | ||
"lib/perfect_numbers.dart" | ||
], | ||
"test": [ | ||
"test/perfect_numbers_test.dart" | ||
], | ||
"example": [ | ||
".meta/lib/example.dart" | ||
] | ||
}, | ||
"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://www.oreilly.com/library/view/functional-thinking/9781449365509/" | ||
} |
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enum Classification { | ||
perfect, | ||
abundant, | ||
deficient, | ||
} | ||
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class PerfectNumbers { | ||
Classification classify(int number) { | ||
if (number <= 0) { | ||
throw ArgumentError('Number must be greater than 0'); | ||
} | ||
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var sum = 0; | ||
for (var i = 1; i < number; i++) { | ||
if (number % i == 0) { | ||
sum += i; | ||
} | ||
} | ||
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if (sum == number) { | ||
return Classification.perfect; | ||
} else if (sum > number) { | ||
return Classification.abundant; | ||
} else { | ||
return Classification.deficient; | ||
} | ||
} | ||
} |
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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. | ||
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[163e8e86-7bfd-4ee2-bd68-d083dc3381a3] | ||
description = "Perfect numbers -> Smallest perfect number is classified correctly" | ||
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[169a7854-0431-4ae0-9815-c3b6d967436d] | ||
description = "Perfect numbers -> Medium perfect number is classified correctly" | ||
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[ee3627c4-7b36-4245-ba7c-8727d585f402] | ||
description = "Perfect numbers -> Large perfect number is classified correctly" | ||
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[80ef7cf8-9ea8-49b9-8b2d-d9cb3db3ed7e] | ||
description = "Abundant numbers -> Smallest abundant number is classified correctly" | ||
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[3e300e0d-1a12-4f11-8c48-d1027165ab60] | ||
description = "Abundant numbers -> Medium abundant number is classified correctly" | ||
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[ec7792e6-8786-449c-b005-ce6dd89a772b] | ||
description = "Abundant numbers -> Large abundant number is classified correctly" | ||
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[e610fdc7-2b6e-43c3-a51c-b70fb37413ba] | ||
description = "Deficient numbers -> Smallest prime deficient number is classified correctly" | ||
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[0beb7f66-753a-443f-8075-ad7fbd9018f3] | ||
description = "Deficient numbers -> Smallest non-prime deficient number is classified correctly" | ||
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[1c802e45-b4c6-4962-93d7-1cad245821ef] | ||
description = "Deficient numbers -> Medium deficient number is classified correctly" | ||
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[47dd569f-9e5a-4a11-9a47-a4e91c8c28aa] | ||
description = "Deficient numbers -> Large deficient number is classified correctly" | ||
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[a696dec8-6147-4d68-afad-d38de5476a56] | ||
description = "Deficient numbers -> Edge case (no factors other than itself) is classified correctly" | ||
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[72445cee-660c-4d75-8506-6c40089dc302] | ||
description = "Invalid inputs -> Zero is rejected (as it is not a positive integer)" | ||
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[2d72ce2c-6802-49ac-8ece-c790ba3dae13] | ||
description = "Invalid inputs -> Negative integer is rejected (as it is not a positive integer)" |
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// define the Classification enum | ||
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class PerfectNumbers { | ||
// Put your code here | ||
} |
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name: 'perfect_numbers' | ||
environment: | ||
sdk: '>=3.2.0 <4.0.0' | ||
dev_dependencies: | ||
test: '<2.0.0' |
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exercises/practice/perfect-numbers/test/perfect_numbers_test.dart
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import 'package:perfect_numbers/perfect_numbers.dart'; | ||
import 'package:test/test.dart'; | ||
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void main() { | ||
final perfectNumbers = PerfectNumbers(); | ||
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group('PerfectNumbers', () { | ||
group('Perfect numbers', () { | ||
test('Smallest perfect number is classified correctly', () { | ||
final result = perfectNumbers.classify(6); | ||
expect(result, equals(Classification.perfect)); | ||
}, skip: false); | ||
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test('Medium perfect number is classified correctly', () { | ||
final result = perfectNumbers.classify(28); | ||
expect(result, equals(Classification.perfect)); | ||
}, skip: true); | ||
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test('Large perfect number is classified correctly', () { | ||
final result = perfectNumbers.classify(33550336); | ||
expect(result, equals(Classification.perfect)); | ||
}, skip: true); | ||
}); | ||
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group('Abundant numbers', () { | ||
test('Smallest abundant number is classified correctly', () { | ||
final result = perfectNumbers.classify(12); | ||
expect(result, equals(Classification.abundant)); | ||
}, skip: true); | ||
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test('Medium abundant number is classified correctly', () { | ||
final result = perfectNumbers.classify(30); | ||
expect(result, equals(Classification.abundant)); | ||
}, skip: true); | ||
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test('Large abundant number is classified correctly', () { | ||
final result = perfectNumbers.classify(33550335); | ||
expect(result, equals(Classification.abundant)); | ||
}, skip: true); | ||
}); | ||
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group('Deficient numbers', () { | ||
test('Smallest prime deficient number is classified correctly', () { | ||
final result = perfectNumbers.classify(2); | ||
expect(result, equals(Classification.deficient)); | ||
}, skip: true); | ||
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test('Smallest non-prime deficient number is classified correctly', () { | ||
final result = perfectNumbers.classify(4); | ||
expect(result, equals(Classification.deficient)); | ||
}, skip: true); | ||
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test('Medium deficient number is classified correctly', () { | ||
final result = perfectNumbers.classify(32); | ||
expect(result, equals(Classification.deficient)); | ||
}, skip: true); | ||
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test('Large deficient number is classified correctly', () { | ||
final result = perfectNumbers.classify(33550337); | ||
expect(result, equals(Classification.deficient)); | ||
}, skip: true); | ||
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test('Edge case (no factors other than itself) is classified correctly', () { | ||
final result = perfectNumbers.classify(1); | ||
expect(result, equals(Classification.deficient)); | ||
}, skip: true); | ||
}); | ||
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group('Invalid inputs', () { | ||
test('Zero is rejected (as it is not a positive integer)', () { | ||
expect(() => perfectNumbers.classify(0), throwsArgumentError); | ||
}, skip: true); | ||
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test('Negative integer is rejected (as it is not a positive integer)', () { | ||
expect(() => perfectNumbers.classify(-1), throwsArgumentError); | ||
}, skip: true); | ||
}); | ||
}); | ||
} |