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Sync alphametics (#846)
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‎exercises/practice/alphametics/.docs/instructions.md‎

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# Instructions
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Write a function to solve alphametics puzzles.
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Given an alphametics puzzle, find the correct solution.
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[Alphametics][alphametics] is a puzzle where letters in words are replaced with numbers.
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Each letter must represent a different digit, and the leading digit of a multi-digit number must not be zero.
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Write a function to solve alphametics puzzles.
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[alphametics]: https://en.wikipedia.org/wiki/Alphametics

‎exercises/practice/alphametics/.meta/config.json‎

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".meta/example.php"
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]
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},
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"blurb": "Write a function to solve alphametics puzzles."
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"blurb": "Given an alphametics puzzle, find the correct solution."
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}

‎exercises/practice/alphametics/.meta/example.php‎

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<?php
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/*
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* By adding type hints and enabling strict type checking, code can become
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* easier to read, self-documenting and reduce the number of potential bugs.
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* By default, type declarations are non-strict, which means they will attempt
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* to change the original type to match the type specified by the
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* type-declaration.
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*
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* In other words, if you pass a string to a function requiring a float,
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* it will attempt to convert the string value to a float.
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*
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* To enable strict mode, a single declare directive must be placed at the top
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* of the file.
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* This means that the strictness of typing is configured on a per-file basis.
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* This directive not only affects the type declarations of parameters, but also
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* a function's return type.
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*
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* For more info review the Concept on strict type checking in the PHP track
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* <link>.
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*
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* To disable strict typing, comment out the directive below.
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*/
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declare(strict_types=1);
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class Alphametics

‎exercises/practice/alphametics/.meta/tests.toml‎

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# This is an auto-generated file.
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#
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# Regenerating this file via `configlet sync` will:
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# - Recreate every `description` key/value pair
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# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications
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# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion)
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# - Preserve any other key/value pair
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#
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# As user-added comments (using the # character) will be removed when this file
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# is regenerated, comments can be added via a `comment` key.
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[e0c08b07-9028-4d5f-91e1-d178fead8e1a]
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description = "puzzle with three letters"
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[a504ee41-cb92-4ec2-9f11-c37e95ab3f25]
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description = "solution must have unique value for each letter"
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[4e3b81d2-be7b-4c5c-9a80-cd72bc6d465a]
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description = "leading zero solution is invalid"
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[8a3e3168-d1ee-4df7-94c7-b9c54845ac3a]
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description = "puzzle with two digits final carry"
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[a9630645-15bd-48b6-a61e-d85c4021cc09]
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description = "puzzle with four letters"
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[3d905a86-5a52-4e4e-bf80-8951535791bd]
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description = "puzzle with six letters"
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[4febca56-e7b7-4789-97b9-530d09ba95f0]
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description = "puzzle with seven letters"
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[12125a75-7284-4f9a-a5fa-191471e0d44f]
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description = "puzzle with eight letters"
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[fb05955f-38dc-477a-a0b6-5ef78969fffa]
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description = "puzzle with ten letters"
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[9a101e81-9216-472b-b458-b513a7adacf7]
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description = "puzzle with ten letters and 199 addends"

‎exercises/practice/alphametics/AlphameticsTest.php‎

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<?php
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3-
/*
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* By adding type hints and enabling strict type checking, code can become
5-
* easier to read, self-documenting and reduce the number of potential bugs.
6-
* By default, type declarations are non-strict, which means they will attempt
7-
* to change the original type to match the type specified by the
8-
* type-declaration.
9-
*
10-
* In other words, if you pass a string to a function requiring a float,
11-
* it will attempt to convert the string value to a float.
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*
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* To enable strict mode, a single declare directive must be placed at the top
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* of the file.
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* This means that the strictness of typing is configured on a per-file basis.
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* This directive not only affects the type declarations of parameters, but also
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* a function's return type.
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*
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* For more info review the Concept on strict type checking in the PHP track
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* <link>.
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*
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* To disable strict typing, comment out the directive below.
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*/
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declare(strict_types=1);
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class AlphameticsTest extends PHPUnit\Framework\TestCase
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{
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private Alphametics $alphametics;
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public static function setUpBeforeClass(): void
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{
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require_once 'Alphametics.php';
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}
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public function setUp(): void
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{
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$this->alphametics = new Alphametics();
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}
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/**
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* uuid e0c08b07-9028-4d5f-91e1-d178fead8e1a
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* @testdox puzzle with three letters
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*/
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public function testSolveThreeLetterPuzzle(): void
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{
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$this->assertEquals(['I' => 1, 'B' => 9, 'L' => 0], $this->alphametics->solve('I + BB == ILL'));
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$alphametics = new Alphametics();
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$this->assertEquals(['I' => 1, 'B' => 9, 'L' => 0], $alphametics->solve('I + BB == ILL'));
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}
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/**
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* uuid a504ee41-cb92-4ec2-9f11-c37e95ab3f25
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* @testdox solution must have unique value for each letter
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*/
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public function testSolutionsMustHaveUniqueValuesForLetters(): void
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{
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$this->assertEquals(null, $this->alphametics->solve('A == B'));
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$alphametics = new Alphametics();
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$this->assertEquals(null, $alphametics->solve('A == B'));
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}
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/**
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* uuid 4e3b81d2-be7b-4c5c-9a80-cd72bc6d465a
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* @testdox leading zero solution is invalid
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*/
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public function testLeadingZerosAreInvalid(): void
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{
53-
$this->assertEquals(null, $this->alphametics->solve('ACA + DD == BD'));
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$alphametics = new Alphametics();
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$this->assertEquals(null, $alphametics->solve('ACA + DD == BD'));
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}
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/**
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* uuid 8a3e3168-d1ee-4df7-94c7-b9c54845ac3a
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* @testdox puzzle with two digits final carry
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*/
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public function testPuzzleWithTwoDigitsFinalCarry(): void
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{
58-
$result = $this->alphametics->solve('A + A + A + A + A + A + A + A + A + A + A + B == BCC');
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$alphametics = new Alphametics();
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$result = $alphametics->solve('A + A + A + A + A + A + A + A + A + A + A + B == BCC');
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$this->assertEquals(['A' => 9, 'B' => 1, 'C' => 0], $result);
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}
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/**
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* uuid a9630645-15bd-48b6-a61e-d85c4021cc09
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* @testdox puzzle with four letters
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*/
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public function testPuzzleWithFourLetters(): void
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{
64-
$result = $this->alphametics->solve('AS + A == MOM');
59+
$alphametics = new Alphametics();
60+
$result = $alphametics->solve('AS + A == MOM');
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$this->assertEquals(['A' => 9, 'S' => 2, 'M' => 1, 'O' => 0], $result);
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}
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/**
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* uuid 3d905a86-5a52-4e4e-bf80-8951535791bd
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* @testdox puzzle with six letters
67+
*/
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public function testPuzzleWithSixLetters(): void
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{
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$result = $this->alphametics->solve('NO + NO + TOO == LATE');
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$alphametics = new Alphametics();
71+
$result = $alphametics->solve('NO + NO + TOO == LATE');
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$this->assertEquals(['N' => 7, 'O' => 4, 'T' => 9, 'L' => 1, 'A' => 0, 'E' => 2], $result);
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}
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/**
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* uuid 4febca56-e7b7-4789-97b9-530d09ba95f0
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* @testdox puzzle with seven letters
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*/
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public function testPuzzleWithSevenLetter(): void
7580
{
76-
$result = $this->alphametics->solve('HE + SEES + THE == LIGHT');
81+
$alphametics = new Alphametics();
82+
$result = $alphametics->solve('HE + SEES + THE == LIGHT');
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$this->assertEquals(['E' => 4, 'G' => 2, 'H' => 5, 'I' => 0, 'L' => 1, 'S' => 9, 'T' => 7], $result);
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}
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/**
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* uuid 12125a75-7284-4f9a-a5fa-191471e0d44f
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* @testdox puzzle with eight letters
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*/
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public function testPuzzleWithEightLetters(): void
8191
{
82-
$result = $this->alphametics->solve('SEND + MORE == MONEY');
92+
$alphametics = new Alphametics();
93+
$result = $alphametics->solve('SEND + MORE == MONEY');
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$this->assertEquals(['S' => 9, 'E' => 5, 'N' => 6, 'D' => 7, 'M' => 1, 'O' => 0, 'R' => 8, 'Y' => 2], $result);
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}
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97+
/**
98+
* uuid fb05955f-38dc-477a-a0b6-5ef78969fffa
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* @testdox puzzle with ten letters
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*/
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public function testPuzzleWithTenLetters(): void
87102
{
88-
$result = $this->alphametics->solve('AND + A + STRONG + OFFENSE + AS + A + GOOD == DEFENSE');
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$alphametics = new Alphametics();
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$result = $alphametics->solve('AND + A + STRONG + OFFENSE + AS + A + GOOD == DEFENSE');
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$this->assertEquals([
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'A' => 5,
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'D' => 3,
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], $result);
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}
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/**
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* uuid 9a101e81-9216-472b-b458-b513a7adacf7
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* @testdox puzzle with ten letters and 199 addends
122+
*/
103123
public function testPuzzleWithTenLettersAnd199Addends(): void
104124
{
125+
$alphametics = new Alphametics();
105126
$puzzle = 'THIS + A + FIRE + THEREFORE + FOR + ALL + HISTORIES + I + TELL + A + TALE + THAT + FALSIFIES + ITS' .
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' + TITLE + TIS + A + LIE + THE + TALE + OF + THE + LAST + FIRE + HORSES + LATE + AFTER + THE + FIRST' .
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' + FATHERS + FORESEE + THE + HORRORS + THE + LAST + FREE + TROLL + TERRIFIES + THE + HORSES + OF + FIRE' .
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' + THE + ASSISTERS + FAR + OFF + THE + TROLL + FASTS + ITS + LIFE + SHORTER + AS + STARS + RISE + THE' .
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' + HORSES + REST + SAFE + AFTER + ALL + SHARE + HOT + FISH + AS + THEIR + AFFILIATES + TAILOR + A' .
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' + ROOFS + FOR + THEIR + SAFE == FORTRESSES';
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$result = $this->alphametics->solve($puzzle);
141+
$result = $alphametics->solve($puzzle);
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$this->assertEquals([
122143
'A' => 1,
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'E' => 0,

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