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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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SHELL := bash | ||
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BASE := $(shell pwd) | ||
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export YS_VERSION := 0.1.80 | ||
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YS_LOCAL_PREFIX := ../../../../.local/v$(YS_VERSION) | ||
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YS_LOCAL_BIN := $(YS_LOCAL_PREFIX)/bin | ||
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YS_BIN := $(YS_LOCAL_BIN)/ys-$(YS_VERSION) | ||
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TEST_FILE ?= $(wildcard *-test.ys) | ||
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export PATH := $(YS_LOCAL_BIN):$(PATH) | ||
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export YSPATH := $(BASE) | ||
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default: | ||
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test: $(YS_BIN) | ||
prove -v $(TEST_FILE) | ||
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$(YS_BIN): | ||
curl -s https://yamlscript.org/install | \ | ||
BIN=1 VERSION=$(YS_VERSION) PREFIX=$(YS_LOCAL_PREFIX) bash >/dev/null |
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{ | ||
"authors": [ | ||
"ingydotnet" | ||
], | ||
"files": { | ||
"solution": [ | ||
"prime-factors.ys" | ||
], | ||
"test": [ | ||
"prime-factors-test.ys", | ||
"GNUmakefile", | ||
"Makefile", | ||
".yamlscript/exercism-ys-installer" | ||
], | ||
"example": [ | ||
".meta/prime-factors.ys" | ||
] | ||
}, | ||
"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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exercises/practice/prime-factors/.meta/prime-factors-test.ys
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#!/usr/bin/env ys-0 | ||
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require ys::taptest: :all | ||
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use: prime-factors | ||
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test:: | ||
- name: No factors | ||
code: factors(1) | ||
want: [] | ||
uuid: 924fc966-a8f5-4288-82f2-6b9224819ccd | ||
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- name: Prime number | ||
code: factors(2) | ||
want: | ||
- 2 | ||
uuid: 17e30670-b105-4305-af53-ddde182cb6ad | ||
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- name: Another prime number | ||
code: factors(3) | ||
want: | ||
- 3 | ||
uuid: 238d57c8-4c12-42ef-af34-ae4929f94789 | ||
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- name: Square of a prime | ||
code: factors(9) | ||
want: | ||
- 3 | ||
- 3 | ||
uuid: f59b8350-a180-495a-8fb1-1712fbee1158 | ||
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- name: Product of first prime | ||
code: factors(4) | ||
want: | ||
- 2 | ||
- 2 | ||
uuid: 756949d3-3158-4e3d-91f2-c4f9f043ee70 | ||
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- name: Cube of a prime | ||
code: factors(8) | ||
want: | ||
- 2 | ||
- 2 | ||
- 2 | ||
uuid: bc8c113f-9580-4516-8669-c5fc29512ceb | ||
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- name: Product of second prime | ||
code: factors(27) | ||
want: | ||
- 3 | ||
- 3 | ||
- 3 | ||
uuid: 7d6a3300-a4cb-4065-bd33-0ced1de6cb44 | ||
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- name: Product of third prime | ||
code: factors(625) | ||
want: | ||
- 5 | ||
- 5 | ||
- 5 | ||
- 5 | ||
uuid: 073ac0b2-c915-4362-929d-fc45f7b9a9e4 | ||
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- name: Product of first and second prime | ||
code: factors(6) | ||
want: | ||
- 2 | ||
- 3 | ||
uuid: 6e0e4912-7fb6-47f3-a9ad-dbcd79340c75 | ||
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- name: Product of primes and non-primes | ||
code: factors(12) | ||
want: | ||
- 2 | ||
- 2 | ||
- 3 | ||
uuid: 00485cd3-a3fe-4fbe-a64a-a4308fc1f870 | ||
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- name: Product of primes | ||
code: factors(901255) | ||
want: | ||
- 5 | ||
- 17 | ||
- 23 | ||
- 461 | ||
uuid: 02251d54-3ca1-4a9b-85e1-b38f4b0ccb91 | ||
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- name: Factors include a large prime | ||
code: factors(93819012551) | ||
want: | ||
- 11 | ||
- 9539 | ||
- 894119 | ||
uuid: 070cf8dc-e202-4285-aa37-8d775c9cd473 | ||
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done: 12 |
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!yamlscript/v0 | ||
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defn factors(value): | ||
or _ []: | ||
when value >= 2: | ||
divisor =: range(2 (value / 2).++) | ||
.filter(\((value % _) == 0)):first || value | ||
into [divisor]: factors(quot(value divisor)) |
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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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127
exercises/practice/prime-factors/.yamlscript/exercism-ys-installer
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#!/env/bin/env bash | ||
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set -euo pipefail | ||
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intro-prompt() ( | ||
cat <<... | ||
-------------------------------------------------------------------------------- | ||
This YAMLScript Exercism exercise requires the YAMLScript version $version | ||
interpreter command file to be installed here: | ||
$prefix/bin/ys | ||
You can install it by pressing Enter now, or by running this command: | ||
$make install-ys | ||
This should only take a few seconds and you only need to do this once. | ||
Other exercises will use the same file. | ||
See https://yamlscript.org/doc/install/ for more YAMLScript installation info. | ||
-------------------------------------------------------------------------------- | ||
Would you like to install the 'ys' file now? | ||
... | ||
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printf "Press Enter to install. Ctl-C to Quit."; read -r | ||
) | ||
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main() { | ||
setup "$@" | ||
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install-from-local | ||
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$auto && intro-prompt | ||
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installed || install-from-release || true | ||
installed || install-from-build || true | ||
installed || | ||
die "Installing '$installed' failed. Giving up." \ | ||
"Consider filing an issue at: $gh_issue_url" | ||
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echo | ||
echo 'Success!' | ||
echo "$installed is now installed." | ||
echo | ||
} | ||
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installed() { | ||
[[ -f $installed ]] | ||
} | ||
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install-from-local() { | ||
local path | ||
path=$(command -v "$ysfq") || true | ||
if [[ -f $path ]]; then | ||
mkdir -p "$bin" | ||
cp "$path" "$bin"/ | ||
ln -fs "$ysfq" "$bin/ys-0" | ||
ln -fs "$ysfq" "$bin/ys" | ||
(installed && $auto) && exit | ||
true | ||
fi | ||
} | ||
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install-from-release() ( | ||
set -x | ||
curl -s https://yamlscript.org/install | | ||
BIN=1 VERSION="$version" PREFIX="$prefix" bash | ||
) | ||
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install-from-build() ( | ||
cat <<... | ||
The binary release installation failed. | ||
We can attempt to build and install $ysfq now. | ||
This can take from 1 to 5 minutes to complete. | ||
... | ||
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printf "Press Enter to install. Ctl-C to Quit."; read -r | ||
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[[ -d /tmp && -w /tmp ]] || | ||
die "Can't write to /tmp" \ | ||
'Giving up.' | ||
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set -x | ||
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rm -fr "$yamlscript_clone" | ||
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git clone --branch="$version" "$yamlscript_repo" "$yamlscript_clone" | ||
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"$make" -C "$yamlscript_clone/ys" install PREFIX="$prefix" | ||
) | ||
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setup() { | ||
version=$1 | ||
prefix=$2 | ||
make=$3 | ||
auto=false | ||
[[ ${4-} ]] && auto=true | ||
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[[ $version =~ ^0\.1\.[0-9]+$ ]] || | ||
die "Invalid YS_VERSION '$version'" | ||
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bin=$prefix/bin | ||
ysfq=ys-$version | ||
installed=$bin/$ysfq | ||
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if installed; then | ||
echo "'$installed' is already installed." | ||
exit | ||
fi | ||
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yamlscript_repo=https://github.com/yaml/yamlscript | ||
yamlscript_clone=/tmp/yamlscript-exercism | ||
gh_issue_url=https://github.com/exercism/yamlscript/issues | ||
} | ||
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die() { | ||
printf '%s\n' "$@" >&2 | ||
exit 1 | ||
} | ||
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main "$@" |
Oops, something went wrong.