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# Instructions | ||
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The dice game [Yacht][yacht] is from the same family as Poker Dice, Generala and particularly Yahtzee, of which it is a precursor. | ||
In the game, five dice are rolled and the result can be entered in any of twelve categories. | ||
The score of a throw of the dice depends on category chosen. | ||
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## Scores in Yacht | ||
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| Category | Score | Description | Example | | ||
| --------------- | ---------------------- | ---------------------------------------- | ------------------- | | ||
| Ones | 1 × number of ones | Any combination | 1 1 1 4 5 scores 3 | | ||
| Twos | 2 × number of twos | Any combination | 2 2 3 4 5 scores 4 | | ||
| Threes | 3 × number of threes | Any combination | 3 3 3 3 3 scores 15 | | ||
| Fours | 4 × number of fours | Any combination | 1 2 3 3 5 scores 0 | | ||
| Fives | 5 × number of fives | Any combination | 5 1 5 2 5 scores 15 | | ||
| Sixes | 6 × number of sixes | Any combination | 2 3 4 5 6 scores 6 | | ||
| Full House | Total of the dice | Three of one number and two of another | 3 3 3 5 5 scores 19 | | ||
| Four of a Kind | Total of the four dice | At least four dice showing the same face | 4 4 4 4 6 scores 16 | | ||
| Little Straight | 30 points | 1-2-3-4-5 | 1 2 3 4 5 scores 30 | | ||
| Big Straight | 30 points | 2-3-4-5-6 | 2 3 4 5 6 scores 30 | | ||
| Choice | Sum of the dice | Any combination | 2 3 3 4 6 scores 18 | | ||
| Yacht | 50 points | All five dice showing the same face | 4 4 4 4 4 scores 50 | | ||
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If the dice do not satisfy the requirements of a category, the score is zero. | ||
If, for example, _Four Of A Kind_ is entered in the _Yacht_ category, zero points are scored. | ||
A _Yacht_ scores zero if entered in the _Full House_ category. | ||
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## Task | ||
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Given a list of values for five dice and a category, your solution should return the score of the dice for that category. | ||
If the dice do not satisfy the requirements of the category your solution should return 0. | ||
You can assume that five values will always be presented, and the value of each will be between one and six inclusively. | ||
You should not assume that the dice are ordered. | ||
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[yacht]: https://en.wikipedia.org/wiki/Yacht_(dice_game) |
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{ | ||
"authors": [ | ||
"keiravillekode" | ||
], | ||
"files": { | ||
"solution": [ | ||
"yacht.sml" | ||
], | ||
"test": [ | ||
"test.sml" | ||
], | ||
"example": [ | ||
".meta/example.sml" | ||
] | ||
}, | ||
"blurb": "Score a single throw of dice in the game Yacht.", | ||
"source": "James Kilfiger, using wikipedia", | ||
"source_url": "https://en.wikipedia.org/wiki/Yacht_(dice_game)" | ||
} |
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datatype category = | ||
Ones | ||
| Twos | ||
| Threes | ||
| Fours | ||
| Fives | ||
| Sixes | ||
| FullHouse | ||
| FourOfAKind | ||
| LittleStraight | ||
| BigStraight | ||
| Choice | ||
| Yacht | ||
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local | ||
fun insert (value: int) (l: int list) = | ||
case l of | ||
nil => value :: nil | ||
| first :: rest => | ||
if value <= first then value :: l | ||
else first :: (insert value rest) | ||
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fun sort (dice: int list): int list = | ||
case dice of | ||
nil => nil | ||
| first :: rest => insert first (sort rest) | ||
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fun total (dice: int list): int = | ||
let | ||
fun recurse (acc: int) (dice: int list): int = | ||
case dice of | ||
nil => acc | ||
| first :: rest => recurse (acc + first) rest | ||
in | ||
recurse 0 dice | ||
end | ||
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fun numbers (number: int) (dice: int list): int = | ||
let | ||
fun recurse (acc: int) (dice: int list): int = | ||
case dice of | ||
nil => acc | ||
| first :: rest => | ||
if first = number then recurse (acc + number) rest | ||
else recurse acc rest | ||
in | ||
recurse 0 dice | ||
end | ||
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fun ones (dice: int list): int = | ||
numbers 1 dice | ||
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fun twos (dice: int list): int = | ||
numbers 2 dice | ||
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fun threes (dice: int list): int = | ||
numbers 3 dice | ||
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fun fours (dice: int list): int = | ||
numbers 4 dice | ||
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fun fives (dice: int list): int = | ||
numbers 5 dice | ||
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fun sixes (dice: int list): int = | ||
numbers 6 dice | ||
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fun fullHouse (dice: int list): int = | ||
if List.nth (dice, 0) = List.nth (dice, 4) then 0 | ||
else if List.nth (dice, 0) = List.nth (dice, 2) andalso List.nth (dice, 3) = List.nth (dice, 4) then total dice | ||
else if List.nth (dice, 0) = List.nth (dice, 1) andalso List.nth (dice, 2) = List.nth (dice, 4) then total dice | ||
else 0 | ||
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fun fourOfAKind (dice: int list): int = | ||
if List.nth (dice, 0) = List.nth (dice, 3) orelse List.nth (dice, 1) = List.nth (dice, 4) then 4 * List.nth (dice, 2) | ||
else 0 | ||
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fun littleStraight (dice: int list): int = | ||
if dice = [1, 2, 3, 4, 5] then 30 | ||
else 0 | ||
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fun bigStraight (dice: int list): int = | ||
if dice = [2, 3, 4, 5, 6] then 30 | ||
else 0 | ||
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fun choice (dice: int list): int = | ||
total dice | ||
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fun yacht (dice: int list): int = | ||
if List.nth (dice, 0) = List.nth (dice, 4) then 50 | ||
else 0 | ||
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fun score' (dice: int list, category): int = | ||
case category of | ||
Ones => ones dice | ||
| Twos => twos dice | ||
| Threes => threes dice | ||
| Fours => fours dice | ||
| Fives => fives dice | ||
| Sixes => sixes dice | ||
| FullHouse => fullHouse dice | ||
| FourOfAKind => fourOfAKind dice | ||
| LittleStraight => littleStraight dice | ||
| BigStraight => bigStraight dice | ||
| Choice => choice dice | ||
| Yacht => yacht dice | ||
in | ||
fun score (dice: int list, category): int = | ||
score' (sort dice, category) | ||
end |
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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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[3060e4a5-4063-4deb-a380-a630b43a84b6] | ||
description = "Yacht" | ||
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[15026df2-f567-482f-b4d5-5297d57769d9] | ||
description = "Not Yacht" | ||
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[36b6af0c-ca06-4666-97de-5d31213957a4] | ||
description = "Ones" | ||
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[023a07c8-6c6e-44d0-bc17-efc5e1b8205a] | ||
description = "Ones, out of order" | ||
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[7189afac-cccd-4a74-8182-1cb1f374e496] | ||
description = "No ones" | ||
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[793c4292-dd14-49c4-9707-6d9c56cee725] | ||
description = "Twos" | ||
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[dc41bceb-d0c5-4634-a734-c01b4233a0c6] | ||
description = "Fours" | ||
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[f6125417-5c8a-4bca-bc5b-b4b76d0d28c8] | ||
description = "Yacht counted as threes" | ||
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[464fc809-96ed-46e4-acb8-d44e302e9726] | ||
description = "Yacht of 3s counted as fives" | ||
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[d054227f-3a71-4565-a684-5c7e621ec1e9] | ||
description = "Fives" | ||
|
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[e8a036e0-9d21-443a-8b5f-e15a9e19a761] | ||
description = "Sixes" | ||
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[51cb26db-6b24-49af-a9ff-12f53b252eea] | ||
description = "Full house two small, three big" | ||
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[1822ca9d-f235-4447-b430-2e8cfc448f0c] | ||
description = "Full house three small, two big" | ||
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[b208a3fc-db2e-4363-a936-9e9a71e69c07] | ||
description = "Two pair is not a full house" | ||
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[b90209c3-5956-445b-8a0b-0ac8b906b1c2] | ||
description = "Four of a kind is not a full house" | ||
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[32a3f4ee-9142-4edf-ba70-6c0f96eb4b0c] | ||
description = "Yacht is not a full house" | ||
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[b286084d-0568-4460-844a-ba79d71d79c6] | ||
description = "Four of a Kind" | ||
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[f25c0c90-5397-4732-9779-b1e9b5f612ca] | ||
description = "Yacht can be scored as Four of a Kind" | ||
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[9f8ef4f0-72bb-401a-a871-cbad39c9cb08] | ||
description = "Full house is not Four of a Kind" | ||
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[b4743c82-1eb8-4a65-98f7-33ad126905cd] | ||
description = "Little Straight" | ||
|
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[7ac08422-41bf-459c-8187-a38a12d080bc] | ||
description = "Little Straight as Big Straight" | ||
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[97bde8f7-9058-43ea-9de7-0bc3ed6d3002] | ||
description = "Four in order but not a little straight" | ||
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[cef35ff9-9c5e-4fd2-ae95-6e4af5e95a99] | ||
description = "No pairs but not a little straight" | ||
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[fd785ad2-c060-4e45-81c6-ea2bbb781b9d] | ||
description = "Minimum is 1, maximum is 5, but not a little straight" | ||
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[35bd74a6-5cf6-431a-97a3-4f713663f467] | ||
description = "Big Straight" | ||
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[87c67e1e-3e87-4f3a-a9b1-62927822b250] | ||
description = "Big Straight as little straight" | ||
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[c1fa0a3a-40ba-4153-a42d-32bc34d2521e] | ||
description = "No pairs but not a big straight" | ||
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[207e7300-5d10-43e5-afdd-213e3ac8827d] | ||
description = "Choice" | ||
|
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[b524c0cf-32d2-4b40-8fb3-be3500f3f135] | ||
description = "Yacht as choice" |
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(* version 1.0.0 *) | ||
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use "testlib.sml"; | ||
use "yacht.sml"; | ||
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infixr |> | ||
fun x |> f = f x | ||
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val testsuite = | ||
describe "yacht" [ | ||
test "Yacht" | ||
(fn _ => score ([5, 5, 5, 5, 5], Yacht) |> Expect.equalTo 50), | ||
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test "Not Yacht" | ||
(fn _ => score ([1, 3, 3, 2, 5], Yacht) |> Expect.equalTo 0), | ||
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test "Ones" | ||
(fn _ => score ([1, 1, 1, 3, 5], Ones) |> Expect.equalTo 3), | ||
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test "Ones, out of order" | ||
(fn _ => score ([3, 1, 1, 5, 1], Ones) |> Expect.equalTo 3), | ||
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test "No ones" | ||
(fn _ => score ([4, 3, 6, 5, 5], Ones) |> Expect.equalTo 0), | ||
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test "Twos" | ||
(fn _ => score ([2, 3, 4, 5, 6], Twos) |> Expect.equalTo 2), | ||
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test "Fours" | ||
(fn _ => score ([1, 4, 1, 4, 1], Fours) |> Expect.equalTo 8), | ||
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test "Yacht counted as threes" | ||
(fn _ => score ([3, 3, 3, 3, 3], Threes) |> Expect.equalTo 15), | ||
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test "Yacht of 3s counted as fives" | ||
(fn _ => score ([3, 3, 3, 3, 3], Fives) |> Expect.equalTo 0), | ||
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test "Fives" | ||
(fn _ => score ([1, 5, 3, 5, 3], Fives) |> Expect.equalTo 10), | ||
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test "Sixes" | ||
(fn _ => score ([2, 3, 4, 5, 6], Sixes) |> Expect.equalTo 6), | ||
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test "Full house two small, three big" | ||
(fn _ => score ([2, 2, 4, 4, 4], FullHouse) |> Expect.equalTo 16), | ||
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test "Full house three small, two big" | ||
(fn _ => score ([5, 3, 3, 5, 3], FullHouse) |> Expect.equalTo 19), | ||
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test "Two pair is not a full house" | ||
(fn _ => score ([2, 2, 4, 4, 5], FullHouse) |> Expect.equalTo 0), | ||
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test "Four of a kind is not a full house" | ||
(fn _ => score ([1, 4, 4, 4, 4], FullHouse) |> Expect.equalTo 0), | ||
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test "Yacht is not a full house" | ||
(fn _ => score ([2, 2, 2, 2, 2], FullHouse) |> Expect.equalTo 0), | ||
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test "Four of a Kind" | ||
(fn _ => score ([6, 6, 4, 6, 6], FourOfAKind) |> Expect.equalTo 24), | ||
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test "Yacht can be scored as Four of a Kind" | ||
(fn _ => score ([3, 3, 3, 3, 3], FourOfAKind) |> Expect.equalTo 12), | ||
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test "Full house is not Four of a Kind" | ||
(fn _ => score ([3, 3, 3, 5, 5], FourOfAKind) |> Expect.equalTo 0), | ||
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test "Little Straight" | ||
(fn _ => score ([3, 5, 4, 1, 2], LittleStraight) |> Expect.equalTo 30), | ||
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test "Little Straight as Big Straight" | ||
(fn _ => score ([1, 2, 3, 4, 5], BigStraight) |> Expect.equalTo 0), | ||
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test "Four in order but not a little straight" | ||
(fn _ => score ([1, 1, 2, 3, 4], LittleStraight) |> Expect.equalTo 0), | ||
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test "No pairs but not a little straight" | ||
(fn _ => score ([1, 2, 3, 4, 6], LittleStraight) |> Expect.equalTo 0), | ||
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test "Minimum is 1, maximum is 5, but not a little straight" | ||
(fn _ => score ([1, 1, 3, 4, 5], LittleStraight) |> Expect.equalTo 0), | ||
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test "Big Straight" | ||
(fn _ => score ([4, 6, 2, 5, 3], BigStraight) |> Expect.equalTo 30), | ||
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test "Big Straight as little straight" | ||
(fn _ => score ([6, 5, 4, 3, 2], LittleStraight) |> Expect.equalTo 0), | ||
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test "No pairs but not a big straight" | ||
(fn _ => score ([6, 5, 4, 3, 1], BigStraight) |> Expect.equalTo 0), | ||
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test "Choice" | ||
(fn _ => score ([3, 3, 5, 6, 6], Choice) |> Expect.equalTo 23), | ||
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test "Yacht as choice" | ||
(fn _ => score ([2, 2, 2, 2, 2], Choice) |> Expect.equalTo 10) | ||
] | ||
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val _ = Test.run testsuite |
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