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# Instructions | ||
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Pick the best hand(s) from a list of poker hands. | ||
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See [Wikipedia][poker-hands] for an overview of poker hands. | ||
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[poker-hands]: https://en.wikipedia.org/wiki/List_of_poker_hands |
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module [bestHands] | ||
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Value : U8 | ||
Suit : [Spades, Hearts, Diamonds, Clubs] | ||
Card : { value : Value, suit : Suit } | ||
Hand : List Card | ||
HandParsingError : [InvalidNumberOfCards U64, CardWasEmpty, InvalidCardValue (List U8), InvalidCardSuit U8] | ||
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bestHands : List Str -> Result (List Str) HandParsingError | ||
bestHands = \hands -> | ||
parsedHands = hands |> List.mapTry? parseHand | ||
ranks = parsedHands |> List.map getRank | ||
topRank = ranks |> List.max |> Result.withDefault 0 | ||
List.map2 hands ranks \hand, rank -> { hand, rank } | ||
|> List.joinMap \{ hand, rank } -> | ||
if rank == topRank then [hand] else [] | ||
|> Ok | ||
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parseHand : Str -> Result Hand HandParsingError | ||
parseHand = \handStr -> | ||
cards = handStr |> Str.split " " | ||
numCards = List.len cards | ||
if numCards != 5 then | ||
Err (InvalidNumberOfCards numCards) | ||
else | ||
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cards |> List.mapTry parseCard | ||
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parseCard : Str -> Result Card [CardWasEmpty, InvalidCardValue (List U8), InvalidCardSuit U8] | ||
parseCard = \cardStr -> | ||
when cardStr |> Str.toUtf8 is | ||
[] -> Err CardWasEmpty | ||
[.. as valueChars, suitChar] -> | ||
value = parseValue? valueChars | ||
suit = parseSuit? suitChar | ||
Ok { value, suit } | ||
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parseValue : List U8 -> Result Value [InvalidCardValue (List U8)] | ||
parseValue = \chars -> | ||
when chars is | ||
[val] if val >= '2' && val <= '9' -> Ok (val - '0') | ||
['1', '0'] -> Ok 10 | ||
['J'] -> Ok 11 | ||
['Q'] -> Ok 12 | ||
['K'] -> Ok 13 | ||
['A'] -> Ok 14 | ||
_ -> Err (InvalidCardValue chars) | ||
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parseSuit : U8 -> Result Suit [InvalidCardSuit U8] | ||
parseSuit = \char -> | ||
when char is | ||
'S' -> Ok Spades | ||
'H' -> Ok Hearts | ||
'D' -> Ok Diamonds | ||
'C' -> Ok Clubs | ||
_ -> Err (InvalidCardSuit char) | ||
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getRank : Hand -> U64 | ||
getRank = \hand -> | ||
cardValues = hand |> List.map .value |> List.map Num.toU64 |> List.sortAsc | ||
isConsecutive = | ||
List.map2 cardValues (cardValues |> List.takeLast 4) \card1, card2 -> (card1, card2) | ||
|> List.all \(card1, card2) -> card2 - card1 == 1 | ||
isSpecialStraight = cardValues == [2, 3, 4, 5, 14] # straight starting with Ace | ||
isStraight = isConsecutive || isSpecialStraight | ||
isFlush = (hand |> List.map .suit |> Set.fromList |> Set.len) == 1 | ||
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valueGroups = | ||
# Example: [4, 4, 4, 7, 7] -> [{size: 3, value: 4}, {size: 2, value: 7}] | ||
cardValues | ||
|> List.walk (List.repeat 0 13) \counters, cardValue -> | ||
counters |> List.update (cardValue - 2) \groupSize -> groupSize + 1 | ||
|> List.mapWithIndex \counter, value -> counter * 13 + value | ||
|> List.sortDesc | ||
|> List.map \groupRank -> { size: groupRank // 13, value: groupRank % 13 + 2 } | ||
|> List.dropIf \{ size } -> size == 0 | ||
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groupSizes = valueGroups |> List.map .size | ||
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category = | ||
if isFlush && isStraight then | ||
8 # Straight flush | ||
else if groupSizes == [4, 1] then | ||
7 # Four of a kind | ||
else if groupSizes == [3, 2] then | ||
6 # Full house | ||
else if isFlush then | ||
5 # Flush | ||
else if isStraight then | ||
4 # Straight | ||
else if groupSizes == [3, 1, 1] then | ||
3 # Three of a kind | ||
else if groupSizes == [2, 2, 1] then | ||
2 # Two pairs | ||
else if groupSizes == [2, 1, 1, 1] then | ||
1 # One pair | ||
else | ||
0 # High card | ||
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rankWithinCategory = | ||
if isSpecialStraight then | ||
0 # the straight starting with an Ace is the smallest straight | ||
else | ||
valueGroups | ||
|> List.walk 0 \rank, { value } -> | ||
rank * 13 + value - 2 | ||
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category * Num.powInt 13 5 + rankWithinCategory |
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{ | ||
"authors": [ | ||
"ageron" | ||
], | ||
"files": { | ||
"solution": [ | ||
"Poker.roc" | ||
], | ||
"test": [ | ||
"poker-test.roc" | ||
], | ||
"example": [ | ||
".meta/Example.roc" | ||
] | ||
}, | ||
"blurb": "Pick the best hand(s) from a list of poker hands.", | ||
"source": "Inspired by the training course from Udacity.", | ||
"source_url": "https://www.udacity.com/course/design-of-computer-programs--cs212" | ||
} |
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{%- import "generator_macros.j2" as macros with context -%} | ||
{{ macros.canonical_ref() }} | ||
{{ macros.header() }} | ||
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import {{ exercise | to_pascal }} exposing [{{ cases[0]["property"] | to_camel }}] | ||
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{% for case in cases -%} | ||
# {{ case["description"] }} | ||
expect | ||
hands = {{ case["input"]["hands"] | to_roc }} | ||
result = {{ case["property"] | to_camel }} hands | ||
result == Ok {{ case["expected"] | to_roc }} | ||
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{% endfor %} |
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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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[161f485e-39c2-4012-84cf-bec0c755b66c] | ||
description = "single hand always wins" | ||
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[370ac23a-a00f-48a9-9965-6f3fb595cf45] | ||
description = "highest card out of all hands wins" | ||
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[d94ad5a7-17df-484b-9932-c64fc26cff52] | ||
description = "a tie has multiple winners" | ||
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[61ed83a9-cfaa-40a5-942a-51f52f0a8725] | ||
description = "multiple hands with the same high cards, tie compares next highest ranked, down to last card" | ||
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[da01becd-f5b0-4342-b7f3-1318191d0580] | ||
description = "winning high card hand also has the lowest card" | ||
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[f7175a89-34ff-44de-b3d7-f6fd97d1fca4] | ||
description = "one pair beats high card" | ||
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[e114fd41-a301-4111-a9e7-5a7f72a76561] | ||
description = "highest pair wins" | ||
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[b3acd3a7-f9fa-4647-85ab-e0a9e07d1365] | ||
description = "both hands have the same pair, high card wins" | ||
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[935bb4dc-a622-4400-97fa-86e7d06b1f76] | ||
description = "two pairs beats one pair" | ||
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[c8aeafe1-6e3d-4711-a6de-5161deca91fd] | ||
description = "both hands have two pairs, highest ranked pair wins" | ||
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[88abe1ba-7ad7-40f3-847e-0a26f8e46a60] | ||
description = "both hands have two pairs, with the same highest ranked pair, tie goes to low pair" | ||
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[15a7a315-0577-47a3-9981-d6cf8e6f387b] | ||
description = "both hands have two identically ranked pairs, tie goes to remaining card (kicker)" | ||
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[f761e21b-2560-4774-a02a-b3e9366a51ce] | ||
description = "both hands have two pairs that add to the same value, win goes to highest pair" | ||
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[fc6277ac-94ac-4078-8d39-9d441bc7a79e] | ||
description = "two pairs first ranked by largest pair" | ||
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[21e9f1e6-2d72-49a1-a930-228e5e0195dc] | ||
description = "three of a kind beats two pair" | ||
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[c2fffd1f-c287-480f-bf2d-9628e63bbcc3] | ||
description = "both hands have three of a kind, tie goes to highest ranked triplet" | ||
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[eb856cc2-481c-4b0d-9835-4d75d07a5d9d] | ||
description = "with multiple decks, two players can have same three of a kind, ties go to highest remaining cards" | ||
include = false | ||
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[26a4a7d4-34a2-4f18-90b4-4a8dd35d2bb1] | ||
description = "with multiple decks, two players can have same three of a kind, ties go to highest remaining cards" | ||
reimplements = "eb856cc2-481c-4b0d-9835-4d75d07a5d9d" | ||
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[a858c5d9-2f28-48e7-9980-b7fa04060a60] | ||
description = "a straight beats three of a kind" | ||
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[73c9c756-e63e-4b01-a88d-0d4491a7a0e3] | ||
description = "aces can end a straight (10 J Q K A)" | ||
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[76856b0d-35cd-49ce-a492-fe5db53abc02] | ||
description = "aces can start a straight (A 2 3 4 5)" | ||
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[e214b7df-dcba-45d3-a2e5-342d8c46c286] | ||
description = "aces cannot be in the middle of a straight (Q K A 2 3)" | ||
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[6980c612-bbff-4914-b17a-b044e4e69ea1] | ||
description = "both hands with a straight, tie goes to highest ranked card" | ||
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[5135675c-c2fc-4e21-9ba3-af77a32e9ba4] | ||
description = "even though an ace is usually high, a 5-high straight is the lowest-scoring straight" | ||
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[c601b5e6-e1df-4ade-b444-b60ce13b2571] | ||
description = "flush beats a straight" | ||
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[4d90261d-251c-49bd-a468-896bf10133de] | ||
description = "both hands have a flush, tie goes to high card, down to the last one if necessary" | ||
include = false | ||
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[e04137c5-c19a-4dfc-97a1-9dfe9baaa2ff] | ||
description = "both hands have a flush, tie goes to high card, down to the last one if necessary" | ||
reimplements = "4d90261d-251c-49bd-a468-896bf10133de" | ||
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[3a19361d-8974-455c-82e5-f7152f5dba7c] | ||
description = "full house beats a flush" | ||
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[eb73d0e6-b66c-4f0f-b8ba-bf96bc0a67f0] | ||
description = "both hands have a full house, tie goes to highest-ranked triplet" | ||
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[34b51168-1e43-4c0d-9b32-e356159b4d5d] | ||
description = "with multiple decks, both hands have a full house with the same triplet, tie goes to the pair" | ||
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[d61e9e99-883b-4f99-b021-18f0ae50c5f4] | ||
description = "four of a kind beats a full house" | ||
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[2e1c8c63-e0cb-4214-a01b-91954490d2fe] | ||
description = "both hands have four of a kind, tie goes to high quad" | ||
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[892ca75d-5474-495d-9f64-a6ce2dcdb7e1] | ||
description = "with multiple decks, both hands with identical four of a kind, tie determined by kicker" | ||
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[923bd910-dc7b-4f7d-a330-8b42ec10a3ac] | ||
description = "straight flush beats four of a kind" | ||
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[d9629e22-c943-460b-a951-2134d1b43346] | ||
description = "aces can end a straight flush (10 J Q K A)" | ||
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[05d5ede9-64a5-4678-b8ae-cf4c595dc824] | ||
description = "aces can start a straight flush (A 2 3 4 5)" | ||
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[ad655466-6d04-49e8-a50c-0043c3ac18ff] | ||
description = "aces cannot be in the middle of a straight flush (Q K A 2 3)" | ||
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[d0927f70-5aec-43db-aed8-1cbd1b6ee9ad] | ||
description = "both hands have a straight flush, tie goes to highest-ranked card" | ||
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[be620e09-0397-497b-ac37-d1d7a4464cfc] | ||
description = "even though an ace is usually high, a 5-high straight flush is the lowest-scoring straight flush" |
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module [bestHands] | ||
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bestHands : List Str -> Result (List Str) _ | ||
bestHands = \hands -> | ||
crash "Please implement the 'bestHands' function" |
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