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14
exercises/practice/armstrong-numbers/.docs/instructions.md
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# Instructions | ||
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An [Armstrong number][armstrong-number] is a number that is the sum of its own digits each raised to the power of the number of digits. | ||
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For example: | ||
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- 9 is an Armstrong number, because `9 = 9^1 = 9` | ||
- 10 is _not_ an Armstrong number, because `10 != 1^2 + 0^2 = 1` | ||
- 153 is an Armstrong number, because: `153 = 1^3 + 5^3 + 3^3 = 1 + 125 + 27 = 153` | ||
- 154 is _not_ an Armstrong number, because: `154 != 1^3 + 5^3 + 4^3 = 1 + 125 + 64 = 190` | ||
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Write some code to determine whether a number is an Armstrong number. | ||
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[armstrong-number]: https://en.wikipedia.org/wiki/Narcissistic_number |
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{ | ||
"authors": [ | ||
"glennj" | ||
], | ||
"files": { | ||
"solution": [ | ||
"lib/ArmstrongNumbers.pm" | ||
], | ||
"test": [ | ||
"t/armstrong-numbers.t" | ||
], | ||
"example": [ | ||
".meta/solutions/lib/ArmstrongNumbers.pm" | ||
] | ||
}, | ||
"blurb": "Determine if a number is an Armstrong number.", | ||
"source": "Wikipedia", | ||
"source_url": "https://en.wikipedia.org/wiki/Narcissistic_number" | ||
} |
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exercises/practice/armstrong-numbers/.meta/solutions/lib/ArmstrongNumbers.pm
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package ArmstrongNumbers; | ||
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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<is_armstrong_number>; | ||
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use bignum; | ||
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sub is_armstrong_number ($number) { | ||
my $n = $number->copy(); | ||
my $size = $n->length(); | ||
my $sum = Math::BigInt->bzero(); | ||
my $rem; | ||
while ( $n->is_positive() ) { | ||
( $n, $rem ) = $n->bdiv(10); | ||
$sum = $sum->badd( $rem->bpow($size) ); | ||
} | ||
return $sum->beq($number); | ||
} | ||
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1; |
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1
exercises/practice/armstrong-numbers/.meta/solutions/t/armstrong-numbers.t
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../../../t/armstrong-numbers.t |
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34
exercises/practice/armstrong-numbers/.meta/template-data.yaml
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subs: is_armstrong_number | ||
modules: | ||
- use: bignum; | ||
properties: | ||
isArmstrongNumber: | ||
test: |- | ||
use Data::Dmp; | ||
sprintf(<<'END', $case->{input}{number}, $case->{expected} ? ('T', '# True') : ('DF', '# Defined but False'), dmp($case->{description})); | ||
is( | ||
is_armstrong_number(%s), | ||
%s, %s | ||
%s | ||
); | ||
END | ||
stub: |- | ||
sub is_armstrong_number ($number) { | ||
return undef; | ||
} | ||
example: |- | ||
use bignum; | ||
sub is_armstrong_number ($number) { | ||
my $n = $number->copy(); | ||
my $size = $n->length(); | ||
my $sum = Math::BigInt->bzero(); | ||
my $rem; | ||
while ($n->is_positive()) { | ||
($n, $rem) = $n->bdiv(10); | ||
$sum = $sum->badd($rem->bpow($size)); | ||
} | ||
return $sum->beq($number); | ||
} |
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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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[c1ed103c-258d-45b2-be73-d8c6d9580c7b] | ||
description = "Zero is an Armstrong number" | ||
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[579e8f03-9659-4b85-a1a2-d64350f6b17a] | ||
description = "Single-digit numbers are Armstrong numbers" | ||
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[2d6db9dc-5bf8-4976-a90b-b2c2b9feba60] | ||
description = "There are no two-digit Armstrong numbers" | ||
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[509c087f-e327-4113-a7d2-26a4e9d18283] | ||
description = "Three-digit number that is an Armstrong number" | ||
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[7154547d-c2ce-468d-b214-4cb953b870cf] | ||
description = "Three-digit number that is not an Armstrong number" | ||
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[6bac5b7b-42e9-4ecb-a8b0-4832229aa103] | ||
description = "Four-digit number that is an Armstrong number" | ||
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[eed4b331-af80-45b5-a80b-19c9ea444b2e] | ||
description = "Four-digit number that is not an Armstrong number" | ||
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[f971ced7-8d68-4758-aea1-d4194900b864] | ||
description = "Seven-digit number that is an Armstrong number" | ||
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[7ee45d52-5d35-4fbd-b6f1-5c8cd8a67f18] | ||
description = "Seven-digit number that is not an Armstrong number" | ||
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[5ee2fdf8-334e-4a46-bb8d-e5c19c02c148] | ||
description = "Armstrong number containing seven zeroes" | ||
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[12ffbf10-307a-434e-b4ad-c925680e1dd4] | ||
description = "The largest and last Armstrong number" |
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exercises/practice/armstrong-numbers/lib/ArmstrongNumbers.pm
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package ArmstrongNumbers; | ||
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use v5.40; | ||
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use Exporter qw<import>; | ||
our @EXPORT_OK = qw<is_armstrong_number>; | ||
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sub is_armstrong_number ($number) { | ||
return undef; | ||
} | ||
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1; |
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exercises/practice/armstrong-numbers/t/armstrong-numbers.t
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#!/usr/bin/env perl | ||
use Test2::V0; | ||
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use FindBin qw<$Bin>; | ||
use lib "$Bin/../lib", "$Bin/../local/lib/perl5"; | ||
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use ArmstrongNumbers qw<is_armstrong_number>; | ||
use bignum; | ||
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is( # begin: c1ed103c-258d-45b2-be73-d8c6d9580c7b | ||
is_armstrong_number(0), | ||
T, # True | ||
"Zero is an Armstrong number" | ||
); # end: c1ed103c-258d-45b2-be73-d8c6d9580c7b | ||
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is( # begin: 579e8f03-9659-4b85-a1a2-d64350f6b17a | ||
is_armstrong_number(5), | ||
T, # True | ||
"Single-digit numbers are Armstrong numbers" | ||
); # end: 579e8f03-9659-4b85-a1a2-d64350f6b17a | ||
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is( # begin: 2d6db9dc-5bf8-4976-a90b-b2c2b9feba60 | ||
is_armstrong_number(10), | ||
DF, # Defined but False | ||
"There are no two-digit Armstrong numbers" | ||
); # end: 2d6db9dc-5bf8-4976-a90b-b2c2b9feba60 | ||
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is( # begin: 509c087f-e327-4113-a7d2-26a4e9d18283 | ||
is_armstrong_number(153), | ||
T, # True | ||
"Three-digit number that is an Armstrong number" | ||
); # end: 509c087f-e327-4113-a7d2-26a4e9d18283 | ||
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is( # begin: 7154547d-c2ce-468d-b214-4cb953b870cf | ||
is_armstrong_number(100), | ||
DF, # Defined but False | ||
"Three-digit number that is not an Armstrong number" | ||
); # end: 7154547d-c2ce-468d-b214-4cb953b870cf | ||
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is( # begin: 6bac5b7b-42e9-4ecb-a8b0-4832229aa103 | ||
is_armstrong_number(9474), | ||
T, # True | ||
"Four-digit number that is an Armstrong number" | ||
); # end: 6bac5b7b-42e9-4ecb-a8b0-4832229aa103 | ||
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is( # begin: eed4b331-af80-45b5-a80b-19c9ea444b2e | ||
is_armstrong_number(9475), | ||
DF, # Defined but False | ||
"Four-digit number that is not an Armstrong number" | ||
); # end: eed4b331-af80-45b5-a80b-19c9ea444b2e | ||
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is( # begin: f971ced7-8d68-4758-aea1-d4194900b864 | ||
is_armstrong_number(9926315), | ||
T, # True | ||
"Seven-digit number that is an Armstrong number" | ||
); # end: f971ced7-8d68-4758-aea1-d4194900b864 | ||
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is( # begin: 7ee45d52-5d35-4fbd-b6f1-5c8cd8a67f18 | ||
is_armstrong_number(9926314), | ||
DF, # Defined but False | ||
"Seven-digit number that is not an Armstrong number" | ||
); # end: 7ee45d52-5d35-4fbd-b6f1-5c8cd8a67f18 | ||
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is( # begin: 5ee2fdf8-334e-4a46-bb8d-e5c19c02c148 | ||
is_armstrong_number(186709961001538790100634132976990), | ||
T, # True | ||
"Armstrong number containing seven zeroes" | ||
); # end: 5ee2fdf8-334e-4a46-bb8d-e5c19c02c148 | ||
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is( # begin: 12ffbf10-307a-434e-b4ad-c925680e1dd4 | ||
is_armstrong_number(115132219018763992565095597973971522401), | ||
T, # True | ||
"The largest and last Armstrong number" | ||
); # end: 12ffbf10-307a-434e-b4ad-c925680e1dd4 | ||
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done_testing; |