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Implement exercise 'collatz-conjecture'
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exercises/practice/collatz-conjecture/.docs/instructions.md
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# Instructions | ||
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The Collatz Conjecture or 3x+1 problem can be summarized as follows: | ||
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Take any positive integer n. | ||
If n is even, divide n by 2 to get n / 2. | ||
If n is odd, multiply n by 3 and add 1 to get 3n + 1. | ||
Repeat the process indefinitely. | ||
The conjecture states that no matter which number you start with, you will always reach 1 eventually. | ||
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Given a number n, return the number of steps required to reach 1. | ||
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## Examples | ||
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Starting with n = 12, the steps would be as follows: | ||
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0. 12 | ||
1. 6 | ||
2. 3 | ||
3. 10 | ||
4. 5 | ||
5. 16 | ||
6. 8 | ||
7. 4 | ||
8. 2 | ||
9. 1 | ||
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Resulting in 9 steps. | ||
So for input n = 12, the return value would be 9. |
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exercises/practice/collatz-conjecture/.meta/.yamlscript/exercise.mk
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YS_VERSION := 0.1.75 |
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SHELL := bash | ||
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BASE := $(shell pwd) | ||
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export YS_VERSION := 0.1.76 | ||
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YS_LOCAL_PREFIX := ../../../../.local/v$(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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exercises/practice/collatz-conjecture/.meta/collatz-conjecture-test.ys
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#!/usr/bin/env ys-0 | ||
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require ys::taptest: :all | ||
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use: collatz-conjecture | ||
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test:: | ||
- name: Zero steps for one | ||
code: steps(1) | ||
want: 0 | ||
uuid: 540a3d51-e7a6-47a5-92a3-4ad1838f0bfd | ||
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- name: Divide if even | ||
code: steps(16) | ||
want: 4 | ||
uuid: 3d76a0a6-ea84-444a-821a-f7857c2c1859 | ||
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- name: Even and odd steps | ||
code: steps(12) | ||
want: 9 | ||
uuid: 754dea81-123c-429e-b8bc-db20b05a87b9 | ||
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- name: Large number of even and odd steps | ||
code: steps(1000000) | ||
want: 152 | ||
uuid: ecfd0210-6f85-44f6-8280-f65534892ff6 | ||
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- name: Zero is an error | ||
code: steps(0) | ||
what: error | ||
want: Only positive integers are allowed | ||
uuid: 2187673d-77d6-4543-975e-66df6c50e2da | ||
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- name: Negative value is an error | ||
code: steps(-15) | ||
what: error | ||
want: Only positive integers are allowed | ||
uuid: ec11f479-56bc-47fd-a434-bcd7a31a7a2e | ||
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done: 6 |
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exercises/practice/collatz-conjecture/.meta/collatz-conjecture.ys
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!yamlscript/v0 | ||
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defn steps(number): | ||
when-not pos?(number): | ||
die('Only positive integers are allowed') | ||
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loop num number, steps 0: | ||
cond: | ||
num == 1: steps | ||
even?(num): recur(div(num 2), steps.++) | ||
else: recur(mul(3 num).++, steps.++) |
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{ | ||
"authors": [ | ||
"ingydotnet" | ||
], | ||
"files": { | ||
"solution": [ | ||
"collatz-conjecture.ys" | ||
], | ||
"test": [ | ||
"collatz-conjecture-test.ys", | ||
"GNUmakefile", | ||
"Makefile", | ||
".yamlscript/exercise.mk", | ||
".yamlscript/exercism-ys-installer" | ||
], | ||
"example": [ | ||
".meta/collatz-conjecture.ys" | ||
] | ||
}, | ||
"blurb": "Calculate the number of steps to reach 1 using the Collatz conjecture.", | ||
"source": "An unsolved problem in mathematics named after mathematician Lothar Collatz", | ||
"source_url": "https://en.wikipedia.org/wiki/3x_%2B_1_problem" | ||
} |
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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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[540a3d51-e7a6-47a5-92a3-4ad1838f0bfd] | ||
description = "zero steps for one" | ||
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[3d76a0a6-ea84-444a-821a-f7857c2c1859] | ||
description = "divide if even" | ||
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[754dea81-123c-429e-b8bc-db20b05a87b9] | ||
description = "even and odd steps" | ||
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[ecfd0210-6f85-44f6-8280-f65534892ff6] | ||
description = "large number of even and odd steps" | ||
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[7d4750e6-def9-4b86-aec7-9f7eb44f95a3] | ||
description = "zero is an error" | ||
include = false | ||
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[2187673d-77d6-4543-975e-66df6c50e2da] | ||
description = "zero is an error" | ||
reimplements = "7d4750e6-def9-4b86-aec7-9f7eb44f95a3" | ||
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[c6c795bf-a288-45e9-86a1-841359ad426d] | ||
description = "negative value is an error" | ||
include = false | ||
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[ec11f479-56bc-47fd-a434-bcd7a31a7a2e] | ||
description = "negative value is an error" | ||
reimplements = "c6c795bf-a288-45e9-86a1-841359ad426d" |
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YS_VERSION := 0.1.75 |
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exercises/practice/collatz-conjecture/.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' "$@" >&2 | ||
exit 1 | ||
} | ||
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main "$@" |
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SHELL := bash | ||
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BASE := $(shell pwd) | ||
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include .yamlscript/exercise.mk | ||
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YS_LOCAL_PREFIX := ../../../.local/v$(YS_VERSION) | ||
ifeq (,$(shell [[ -d "$(YS_LOCAL_PREFIX)" ]] && echo ok)) | ||
YS_LOCAL_PREFIX := $(shell cd .. && pwd -P)/.local/v$(YS_VERSION) | ||
endif | ||
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YS_LOCAL_BIN := $(YS_LOCAL_PREFIX)/bin | ||
YS_BIN := $(YS_LOCAL_BIN)/ys-$(YS_VERSION) | ||
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YS_INSTALLER := .yamlscript/exercism-ys-installer | ||
YS_INSTALLER_CMD := \ | ||
bash $(YS_INSTALLER) $(YS_VERSION) $(YS_LOCAL_PREFIX) $(MAKE) | ||
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TEST_FILE ?= $(wildcard *-test.ys) | ||
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export PATH := $(YS_LOCAL_BIN):$(PATH) | ||
export YSPATH := $(BASE) | ||
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#------------------------------------------------------------------------------- | ||
default: | ||
@echo " No default make rule. Try 'make test'." | ||
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test: $(YS_BIN) | ||
prove -v $(TEST_FILE) | ||
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install-ys: | ||
@$(YS_INSTALLER_CMD) | ||
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uninstall-ys: | ||
rm -fr $(YS_LOCAL_PREFIX) | ||
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#------------------------------------------------------------------------------- | ||
ifdef EXERCISM_YAMLSCRIPT_GHA | ||
$(YS_BIN): | ||
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else ifeq (/mnt/,$(dir $(BASE))) | ||
$(YS_BIN): | ||
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else | ||
$(YS_BIN): | ||
@$(YS_INSTALLER_CMD) auto | ||
endif |
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# This Makefile is a decoy to attempt to detect when a non-GNU make is being | ||
# used and alert the user. | ||
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test: | ||
@echo "You appear to be using a non-GNU version of the 'make' program." | ||
@echo "The YAMLScript Exercism track requires you to use GNU make." | ||
@echo "Please try 'make $@' again using GNU make." | ||
@exit 1 |
Oops, something went wrong.