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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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{ | ||
"authors": [ | ||
"glennj" | ||
], | ||
"files": { | ||
"solution": [ | ||
"lib/CollatzConjecture.pm" | ||
], | ||
"test": [ | ||
"t/collatz-conjecture.t" | ||
], | ||
"example": [ | ||
".meta/solutions/lib/CollatzConjecture.pm" | ||
] | ||
}, | ||
"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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exercises/practice/collatz-conjecture/.meta/solutions/lib/CollatzConjecture.pm
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package CollatzConjecture; | ||
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use strict; | ||
use warnings; | ||
use experimental qw<signatures postderef postderef_qq>; | ||
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use Exporter qw<import>; | ||
our @EXPORT_OK = qw<steps>; | ||
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sub steps ($number) { | ||
die 'Only positive integers are allowed' unless $number > 0; | ||
my $count = 0; | ||
while ( $number > 1 ) { | ||
$number = ( $number % 2 == 0 ) ? ( $number / 2 ) : ( 3 * $number + 1 ); | ||
$count++; | ||
} | ||
return $count; | ||
} | ||
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1; |
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exercises/practice/collatz-conjecture/.meta/solutions/t/collatz-conjecture.t
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../../../t/collatz-conjecture.t |
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exercises/practice/collatz-conjecture/.meta/template-data.yaml
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subs: steps | ||
properties: | ||
steps: | ||
test: |- | ||
use Data::Dmp; | ||
if (ref $case->{expected}) { | ||
sprintf(<<'END', $case->{input}{number}, $case->{expected}{error}, dmp($case->{description})); | ||
like( | ||
dies( sub { steps(%s) } ), | ||
qr/%s/, | ||
%s, | ||
); | ||
END | ||
} | ||
else { | ||
sprintf(<<'END', $case->{input}{number}, $case->{expected}, dmp($case->{description})); | ||
is( | ||
steps(%s), | ||
%s, | ||
%s, | ||
); | ||
END | ||
} | ||
stub: |- | ||
sub steps ($number) { | ||
return undef; | ||
} | ||
example: |- | ||
sub steps ($number) { | ||
die 'Only positive integers are allowed' unless $number > 0; | ||
my $count = 0; | ||
while ($number > 1) { | ||
$number = ($number % 2 == 0) ? ($number / 2) : (3 * $number + 1); | ||
$count++; | ||
} | ||
return $count; | ||
} |
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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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exercises/practice/collatz-conjecture/lib/CollatzConjecture.pm
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package CollatzConjecture; | ||
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use v5.40; | ||
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use Exporter qw<import>; | ||
our @EXPORT_OK = qw<steps>; | ||
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sub steps ($number) { | ||
return undef; | ||
} | ||
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1; |
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exercises/practice/collatz-conjecture/t/collatz-conjecture.t
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#!/usr/bin/env perl | ||
use Test2::V0; | ||
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use FindBin qw<$Bin>; | ||
use lib "$Bin/../lib", "$Bin/../local/lib/perl5"; | ||
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use CollatzConjecture qw<steps>; | ||
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is( # begin: 540a3d51-e7a6-47a5-92a3-4ad1838f0bfd | ||
steps(1), | ||
0, | ||
"zero steps for one", | ||
); # end: 540a3d51-e7a6-47a5-92a3-4ad1838f0bfd | ||
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is( # begin: 3d76a0a6-ea84-444a-821a-f7857c2c1859 | ||
steps(16), | ||
4, | ||
"divide if even", | ||
); # end: 3d76a0a6-ea84-444a-821a-f7857c2c1859 | ||
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is( # begin: 754dea81-123c-429e-b8bc-db20b05a87b9 | ||
steps(12), | ||
9, | ||
"even and odd steps", | ||
); # end: 754dea81-123c-429e-b8bc-db20b05a87b9 | ||
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is( # begin: ecfd0210-6f85-44f6-8280-f65534892ff6 | ||
steps(1000000), | ||
152, | ||
"large number of even and odd steps", | ||
); # end: ecfd0210-6f85-44f6-8280-f65534892ff6 | ||
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like( # begin: 2187673d-77d6-4543-975e-66df6c50e2da | ||
dies( sub { steps(0) } ), | ||
qr/Only positive integers are allowed/, | ||
"zero is an error", | ||
); # end: 2187673d-77d6-4543-975e-66df6c50e2da | ||
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like( # begin: ec11f479-56bc-47fd-a434-bcd7a31a7a2e | ||
dies( sub { steps(-15) } ), | ||
qr/Only positive integers are allowed/, | ||
"negative value is an error", | ||
); # end: ec11f479-56bc-47fd-a434-bcd7a31a7a2e | ||
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done_testing; |