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1 change: 1 addition & 0 deletions bin/auto-sync.txt
Original file line number Diff line number Diff line change
Expand Up @@ -6,6 +6,7 @@ alphametics
anagram
armstrong-numbers
atbash-cipher
baffling-birthdays
bank-account
binary-search
binary-search-tree
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8 changes: 8 additions & 0 deletions config.json
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Expand Up @@ -212,6 +212,14 @@
"transforming"
]
},
{
"slug": "baffling-birthdays",
"name": "Baffling Birthdays",
"uuid": "0854014f-e678-4844-9c39-55997fff1d07",
"practices": [],
"prerequisites": [],
"difficulty": 1
},
{
"slug": "beer-song",
"name": "Beer Song",
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23 changes: 23 additions & 0 deletions exercises/practice/baffling-birthdays/.docs/instructions.md
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# Instructions

Your task is to estimate the birthday paradox's probabilities.

To do this, you need to:

- Generate random birthdates.
- Check if a collection of randomly generated birthdates contains at least two with the same birthday.
- Estimate the probability that at least two people in a group share the same birthday for different group sizes.

~~~~exercism/note
A birthdate includes the full date of birth (year, month, and day), whereas a birthday refers only to the month and day, which repeat each year.
Two birthdates with the same month and day correspond to the same birthday.
~~~~

~~~~exercism/caution
The birthday paradox assumes that:

- There are 365 possible birthdays (no leap years).
- Each birthday is equally likely (uniform distribution).

Your implementation must follow these assumptions.
~~~~
25 changes: 25 additions & 0 deletions exercises/practice/baffling-birthdays/.docs/introduction.md
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# Introduction

Fresh out of college, you're throwing a huge party to celebrate with friends and family.
Over 70 people have shown up, including your mildly eccentric Uncle Ted.

In one of his usual antics, he bets you £100 that at least two people in the room share the same birthday.
That sounds ridiculous — there are many more possible birthdays than there are guests, so you confidently accept.

To your astonishment, after collecting the birthdays of just 32 guests, you've already found two guests that share the same birthday.
Accepting your loss, you hand Uncle Ted his £100, but something feels off.

The next day, curiosity gets the better of you.
A quick web search leads you to the [birthday paradox][birthday-problem], which reveals that with just 23 people, the probability of a shared birthday exceeds 50%.

Ah. So _that's_ why Uncle Ted was so confident.

Determined to turn the tables, you start looking up other paradoxes; next time, _you'll_ be the one making the bets.

~~~~exercism/note
The birthday paradox is a [veridical paradox][veridical-paradox]: even though it feels wrong, it is actually true.

[veridical-paradox]: https://en.wikipedia.org/wiki/Paradox#Quine's_classification
~~~~

[birthday-problem]: https://en.wikipedia.org/wiki/Birthday_problem
19 changes: 19 additions & 0 deletions exercises/practice/baffling-birthdays/.meta/config.json
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{
"authors": [
"resu-xuniL"
],
"files": {
"solution": [
"BafflingBirthdays.php"
],
"test": [
"BafflingBirthdaysTest.php"
],
"example": [
".meta/example.php"
]
},
"blurb": "Estimate the birthday paradox's probabilities.",
"source": "Erik Schierboom",
"source_url": "https://github.com/exercism/problem-specifications/pull/2539"
}
60 changes: 60 additions & 0 deletions exercises/practice/baffling-birthdays/.meta/example.php
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<?php

declare(strict_types=1);

class BafflingBirthdays
{
public function sharedBirthday(array $birthdates): bool
{
$shared = [];

foreach ($birthdates as $birthdate) {
$birthday = substr($birthdate, -5);

if (isset($shared[$birthday])) {
return true;
}

$shared[$birthday] = true;
}

return false;
}

public function randomBirthdates(int $number): array
{
$birthdates = [];
$actualYear = (int) (new DateTime('now'))->format('Y');

for ($i = 0; $i < $number; $i++) {
$randomYear = rand(1900, $actualYear);

if ($randomYear % 400 == 0 || ($randomYear % 4 == 0 && $randomYear % 100 != 0)) {
$randomYear = $randomYear + 1;
}

$birthdates[] = (new DateTime())
->setDate(
$randomYear,
rand(1, 12),
rand(1, 31),
)
->format("Y-m-d")
;
}

return $birthdates;
}

public function estimatedProbabilityOfSharedBirthday(int $groupSize): float
{
$runs = 10000;
$count = 0;

for ($i = 0; $i <= $runs; $i++) {
$count += $this->sharedBirthday($this->randomBirthdates($groupSize));
}

return ($count * 100) / $runs;
}
}
61 changes: 61 additions & 0 deletions exercises/practice/baffling-birthdays/.meta/tests.toml
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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.

[716dcc2b-8fe4-4fc9-8c48-cbe70d8e6b67]
description = "shared birthday -> one birthdate"

[f7b3eb26-bcfc-4c1e-a2de-af07afc33f45]
description = "shared birthday -> two birthdates with same year, month, and day"

[7193409a-6e16-4bcb-b4cc-9ffe55f79b25]
description = "shared birthday -> two birthdates with same year and month, but different day"

[d04db648-121b-4b72-93e8-d7d2dced4495]
description = "shared birthday -> two birthdates with same month and day, but different year"

[3c8bd0f0-14c6-4d4c-975a-4c636bfdc233]
description = "shared birthday -> two birthdates with same year, but different month and day"

[df5daba6-0879-4480-883c-e855c99cdaa3]
description = "shared birthday -> two birthdates with different year, month, and day"

[0c17b220-cbb9-4bd7-872f-373044c7b406]
description = "shared birthday -> multiple birthdates without shared birthday"

[966d6b0b-5c0a-4b8c-bc2d-64939ada49f8]
description = "shared birthday -> multiple birthdates with one shared birthday"

[b7937d28-403b-4500-acce-4d9fe3a9620d]
description = "shared birthday -> multiple birthdates with more than one shared birthday"

[70b38cea-d234-4697-b146-7d130cd4ee12]
description = "random birthdates -> generate requested number of birthdates"

[d9d5b7d3-5fea-4752-b9c1-3fcd176d1b03]
description = "random birthdates -> years are not leap years"

[d1074327-f68c-4c8a-b0ff-e3730d0f0521]
description = "random birthdates -> months are random"

[7df706b3-c3f5-471d-9563-23a4d0577940]
description = "random birthdates -> days are random"

[89a462a4-4265-4912-9506-fb027913f221]
description = "estimated probability of at least one shared birthday -> for one person"

[ec31c787-0ebb-4548-970c-5dcb4eadfb5f]
description = "estimated probability of at least one shared birthday -> among ten people"

[b548afac-a451-46a3-9bb0-cb1f60c48e2f]
description = "estimated probability of at least one shared birthday -> among twenty-three people"

[e43e6b9d-d77b-4f6c-a960-0fc0129a0bc5]
description = "estimated probability of at least one shared birthday -> among seventy people"
43 changes: 43 additions & 0 deletions exercises/practice/baffling-birthdays/BafflingBirthdays.php
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<?php

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

declare(strict_types=1);

class BafflingBirthdays
{
public function sharedBirthday(array $birthdates): bool
{
throw new \BadMethodCallException(sprintf('Implement the %s method', __FUNCTION__));
}

public function randomBirthdates(): bool
{
throw new \BadMethodCallException(sprintf('Implement the %s method', __FUNCTION__));
}

public function estimatedProbabilityOfSharedBirthday(int $groupSize): float
{
throw new \BadMethodCallException(sprintf('Implement the %s method', __FUNCTION__));
}
}
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