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# Instructions | ||
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Compute the prime factors of a given natural number. | ||
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A prime number is only evenly divisible by itself and 1. | ||
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Note that 1 is not a prime number. | ||
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## Example | ||
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What are the prime factors of 60? | ||
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- Our first divisor is 2. | ||
2 goes into 60, leaving 30. | ||
- 2 goes into 30, leaving 15. | ||
- 2 doesn't go cleanly into 15. | ||
So let's move on to our next divisor, 3. | ||
- 3 goes cleanly into 15, leaving 5. | ||
- 3 does not go cleanly into 5. | ||
The next possible factor is 4. | ||
- 4 does not go cleanly into 5. | ||
The next possible factor is 5. | ||
- 5 does go cleanly into 5. | ||
- We're left only with 1, so now, we're done. | ||
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Our successful divisors in that computation represent the list of prime factors of 60: 2, 2, 3, and 5. | ||
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You can check this yourself: | ||
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```text | ||
2 * 2 * 3 * 5 | ||
= 4 * 15 | ||
= 60 | ||
``` | ||
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Success! |
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{ | ||
"authors": [ | ||
"BNAndras" | ||
], | ||
"files": { | ||
"solution": [ | ||
"prime_factors.vim" | ||
], | ||
"test": [ | ||
"prime_factors.vader" | ||
], | ||
"example": [ | ||
".meta/example.vim" | ||
] | ||
}, | ||
"blurb": "Compute the prime factors of a given natural number.", | ||
"source": "The Prime Factors Kata by Uncle Bob", | ||
"source_url": "https://web.archive.org/web/20221026171801/http://butunclebob.com/ArticleS.UncleBob.ThePrimeFactorsKata" | ||
} |
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function! Factors(value) abort | ||
let l:results = [] | ||
let l:divisor = 2 | ||
let l:working = a:value | ||
while l:working > 1 | ||
while l:working % l:divisor == 0 | ||
call add(l:results, l:divisor) | ||
let l:working /= l:divisor | ||
endwhile | ||
let l:divisor += 1 | ||
endwhile | ||
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return l:results | ||
endfunction |
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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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[924fc966-a8f5-4288-82f2-6b9224819ccd] | ||
description = "no factors" | ||
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[17e30670-b105-4305-af53-ddde182cb6ad] | ||
description = "prime number" | ||
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[238d57c8-4c12-42ef-af34-ae4929f94789] | ||
description = "another prime number" | ||
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[f59b8350-a180-495a-8fb1-1712fbee1158] | ||
description = "square of a prime" | ||
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[756949d3-3158-4e3d-91f2-c4f9f043ee70] | ||
description = "product of first prime" | ||
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[bc8c113f-9580-4516-8669-c5fc29512ceb] | ||
description = "cube of a prime" | ||
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[7d6a3300-a4cb-4065-bd33-0ced1de6cb44] | ||
description = "product of second prime" | ||
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[073ac0b2-c915-4362-929d-fc45f7b9a9e4] | ||
description = "product of third prime" | ||
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[6e0e4912-7fb6-47f3-a9ad-dbcd79340c75] | ||
description = "product of first and second prime" | ||
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[00485cd3-a3fe-4fbe-a64a-a4308fc1f870] | ||
description = "product of primes and non-primes" | ||
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[02251d54-3ca1-4a9b-85e1-b38f4b0ccb91] | ||
description = "product of primes" | ||
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[070cf8dc-e202-4285-aa37-8d775c9cd473] | ||
description = "factors include a large prime" |
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Execute (no factors): | ||
AssertEqual [], Factors(1) | ||
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Execute (prime number): | ||
AssertEqual [2], Factors(2) | ||
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Execute (another prime number): | ||
AssertEqual [3], Factors(3) | ||
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Execute (square of a prime): | ||
AssertEqual [3, 3], Factors(9) | ||
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Execute (product of first prime): | ||
AssertEqual [2, 2], Factors(4) | ||
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Execute (cube of a prime): | ||
AssertEqual [2, 2, 2], Factors(8) | ||
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Execute (product of second prime): | ||
AssertEqual [3, 3, 3], Factors(27) | ||
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Execute (product of third prime): | ||
AssertEqual [5, 5, 5, 5], Factors(625) | ||
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Execute (product of first and second prime): | ||
AssertEqual [2, 3], Factors(6) | ||
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Execute (product of primes and non-primes): | ||
AssertEqual [2, 2, 3], Factors(12) | ||
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Execute (product of primes): | ||
AssertEqual [5, 17, 23, 461], Factors(901255) | ||
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Execute (factors include a large prime): | ||
AssertEqual [11, 9539, 894119], Factors(93819012551) |
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" | ||
" Given a number, return its prime factors. | ||
" | ||
" Examples: | ||
" :echo Factors(1) | ||
" [] | ||
" | ||
" :echo Factors(12) | ||
" [2, 2, 3] | ||
" | ||
function! Factors(value) abort | ||
" your code goes here | ||
endfunction |