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8 changes: 8 additions & 0 deletions config.json
Original file line number Diff line number Diff line change
Expand Up @@ -409,6 +409,14 @@
"prerequisites": [],
"difficulty": 5
},
{
"slug": "yacht",
"name": "Yacht",
"uuid": "ffc5678e-12da-4a69-996d-93ab1ede6dbc",
"practices": [],
"prerequisites": [],
"difficulty": 5
},
{
"slug": "affine-cipher",
"name": "Affine Cipher",
Expand Down
30 changes: 30 additions & 0 deletions exercises/practice/yacht/.docs/instructions.md
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# Instructions

Given five dice and a category, calculate the score of the dice for that category.

~~~~exercism/note
You'll always be presented with five dice.
Each dice's value will be between one and six inclusively.
The dice may be unordered.
~~~~

## Scores in Yacht

| 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 |

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.
11 changes: 11 additions & 0 deletions exercises/practice/yacht/.docs/introduction.md
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# Introduction

Each year, something new is "all the rage" in your high school.
This year it is a dice game: [Yacht][yacht].

The game of Yacht is from the same family as Poker Dice, Generala and particularly Yahtzee, of which it is a precursor.
The game consists of twelve rounds.
In each, five dice are rolled and the player chooses one of twelve categories.
The chosen category is then used to score the throw of the dice.

[yacht]: https://en.wikipedia.org/wiki/Yacht_(dice_game)
36 changes: 36 additions & 0 deletions exercises/practice/yacht/.meta/Example.lean
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namespace Yacht

inductive Category where
| ones | twos | threes | fours | fives | sixes
| choice | fourOfAKind | fullHouse | yacht
| littleStraight | bigStraight
deriving BEq, Repr

abbrev Die := { x : Nat // 1 ≤ x ∧ x ≤ 6 }
abbrev Throw := Vector Die 5

def sortedDice : Throw -> List Nat :=
List.mergeSort ∘ List.map (λ (d : Die) => d.val) ∘ Vector.toList -- composition is like in Haskell, right to left

def score (dice : Throw) : Category -> Nat
| .ones => 1 * dice.count ⟨1, by decide⟩
| .twos => 2 * dice.count ⟨2, by decide⟩
| .threes => 3 * dice.count ⟨3, by decide⟩
| .fours => 4 * dice.count ⟨4, by decide⟩
| .fives => 5 * dice.count ⟨5, by decide⟩
| .sixes => 6 * dice.count ⟨6, by decide⟩
| .yacht => if dice.all (λ x => dice[0] == x) then 50 else 0
| .choice => dice.foldl (λ acc ⟨d, _⟩ => acc + d) 0
| .littleStraight => if sortedDice dice == [1, 2, 3, 4, 5] then 30 else 0
| .bigStraight => if sortedDice dice == [2, 3, 4, 5, 6] then 30 else 0
| .fourOfAKind => (do
let ⟨d, _⟩ ← dice.find? (λ x => dice.count x >= 4)
some (4 * d)
).getD 0
| .fullHouse => (do
let ⟨d1, _⟩ ← dice.find? (λ x => dice.count x == 3)
let ⟨d2, _⟩ ← dice.find? (λ x => dice.count x == 2)
some (3 * d1 + 2 * d2)
).getD 0

end Yacht
19 changes: 19 additions & 0 deletions exercises/practice/yacht/.meta/config.json
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{
"authors": [
"oxe-i"
],
"files": {
"solution": [
"Yacht.lean"
],
"test": [
"YachtTest.lean"
],
"example": [
".meta/Example.lean"
]
},
"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)"
}
97 changes: 97 additions & 0 deletions exercises/practice/yacht/.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.

[3060e4a5-4063-4deb-a380-a630b43a84b6]
description = "Yacht"

[15026df2-f567-482f-b4d5-5297d57769d9]
description = "Not Yacht"

[36b6af0c-ca06-4666-97de-5d31213957a4]
description = "Ones"

[023a07c8-6c6e-44d0-bc17-efc5e1b8205a]
description = "Ones, out of order"

[7189afac-cccd-4a74-8182-1cb1f374e496]
description = "No ones"

[793c4292-dd14-49c4-9707-6d9c56cee725]
description = "Twos"

[dc41bceb-d0c5-4634-a734-c01b4233a0c6]
description = "Fours"

[f6125417-5c8a-4bca-bc5b-b4b76d0d28c8]
description = "Yacht counted as threes"

[464fc809-96ed-46e4-acb8-d44e302e9726]
description = "Yacht of 3s counted as fives"

[d054227f-3a71-4565-a684-5c7e621ec1e9]
description = "Fives"

[e8a036e0-9d21-443a-8b5f-e15a9e19a761]
description = "Sixes"

[51cb26db-6b24-49af-a9ff-12f53b252eea]
description = "Full house two small, three big"

[1822ca9d-f235-4447-b430-2e8cfc448f0c]
description = "Full house three small, two big"

[b208a3fc-db2e-4363-a936-9e9a71e69c07]
description = "Two pair is not a full house"

[b90209c3-5956-445b-8a0b-0ac8b906b1c2]
description = "Four of a kind is not a full house"

[32a3f4ee-9142-4edf-ba70-6c0f96eb4b0c]
description = "Yacht is not a full house"

[b286084d-0568-4460-844a-ba79d71d79c6]
description = "Four of a Kind"

[f25c0c90-5397-4732-9779-b1e9b5f612ca]
description = "Yacht can be scored as Four of a Kind"

[9f8ef4f0-72bb-401a-a871-cbad39c9cb08]
description = "Full house is not Four of a Kind"

[b4743c82-1eb8-4a65-98f7-33ad126905cd]
description = "Little Straight"

[7ac08422-41bf-459c-8187-a38a12d080bc]
description = "Little Straight as Big Straight"

[97bde8f7-9058-43ea-9de7-0bc3ed6d3002]
description = "Four in order but not a little straight"

[cef35ff9-9c5e-4fd2-ae95-6e4af5e95a99]
description = "No pairs but not a little straight"

[fd785ad2-c060-4e45-81c6-ea2bbb781b9d]
description = "Minimum is 1, maximum is 5, but not a little straight"

[35bd74a6-5cf6-431a-97a3-4f713663f467]
description = "Big Straight"

[87c67e1e-3e87-4f3a-a9b1-62927822b250]
description = "Big Straight as little straight"

[c1fa0a3a-40ba-4153-a42d-32bc34d2521e]
description = "No pairs but not a big straight"

[207e7300-5d10-43e5-afdd-213e3ac8827d]
description = "Choice"

[b524c0cf-32d2-4b40-8fb3-be3500f3f135]
description = "Yacht as choice"
15 changes: 15 additions & 0 deletions exercises/practice/yacht/Yacht.lean
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namespace Yacht

inductive Category where
| ones | twos | threes | fours | fives | sixes
| choice | fourOfAKind | fullHouse | yacht
| littleStraight | bigStraight
deriving BEq, Repr

abbrev Die := { x : Nat // 1 ≤ x ∧ x ≤ 6 }
abbrev Throw := Vector Die 5

def score (dice : Throw) (category: Category) : Nat :=
sorry

end Yacht
68 changes: 68 additions & 0 deletions exercises/practice/yacht/YachtTest.lean
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import LeanTest
import Yacht

open LeanTest

def yachtTests : TestSuite :=
(TestSuite.empty "Yacht")
|>.addTest "Yacht" (do
return assertEqual 50 (Yacht.score ⟨#[⟨5, by decide⟩, ⟨5, by decide⟩, ⟨5, by decide⟩, ⟨5, by decide⟩, ⟨5, by decide⟩], by decide⟩ .yacht))
|>.addTest "Not Yacht" (do
return assertEqual 0 (Yacht.score ⟨#[⟨1, by decide⟩, ⟨3, by decide⟩, ⟨3, by decide⟩, ⟨2, by decide⟩, ⟨5, by decide⟩], by decide⟩ .yacht))
|>.addTest "Ones" (do
return assertEqual 3 (Yacht.score ⟨#[⟨1, by decide⟩, ⟨1, by decide⟩, ⟨1, by decide⟩, ⟨3, by decide⟩, ⟨5, by decide⟩], by decide⟩ .ones))
|>.addTest "Ones, out of order" (do
return assertEqual 3 (Yacht.score ⟨#[⟨3, by decide⟩, ⟨1, by decide⟩, ⟨1, by decide⟩, ⟨5, by decide⟩, ⟨1, by decide⟩], by decide⟩ .ones))
|>.addTest "No ones" (do
return assertEqual 0 (Yacht.score ⟨#[⟨4, by decide⟩, ⟨3, by decide⟩, ⟨6, by decide⟩, ⟨5, by decide⟩, ⟨5, by decide⟩], by decide⟩ .ones))
|>.addTest "Twos" (do
return assertEqual 2 (Yacht.score ⟨#[⟨2, by decide⟩, ⟨3, by decide⟩, ⟨4, by decide⟩, ⟨5, by decide⟩, ⟨6, by decide⟩], by decide⟩ .twos))
|>.addTest "Fours" (do
return assertEqual 8 (Yacht.score ⟨#[⟨1, by decide⟩, ⟨4, by decide⟩, ⟨1, by decide⟩, ⟨4, by decide⟩, ⟨1, by decide⟩], by decide⟩ .fours))
|>.addTest "Yacht counted as threes" (do
return assertEqual 15 (Yacht.score ⟨#[⟨3, by decide⟩, ⟨3, by decide⟩, ⟨3, by decide⟩, ⟨3, by decide⟩, ⟨3, by decide⟩], by decide⟩ .threes))
|>.addTest "Yacht of 3s counted as fives" (do
return assertEqual 0 (Yacht.score ⟨#[⟨3, by decide⟩, ⟨3, by decide⟩, ⟨3, by decide⟩, ⟨3, by decide⟩, ⟨3, by decide⟩], by decide⟩ .fives))
|>.addTest "Fives" (do
return assertEqual 10 (Yacht.score ⟨#[⟨1, by decide⟩, ⟨5, by decide⟩, ⟨3, by decide⟩, ⟨5, by decide⟩, ⟨3, by decide⟩], by decide⟩ .fives))
|>.addTest "Sixes" (do
return assertEqual 6 (Yacht.score ⟨#[⟨2, by decide⟩, ⟨3, by decide⟩, ⟨4, by decide⟩, ⟨5, by decide⟩, ⟨6, by decide⟩], by decide⟩ .sixes))
|>.addTest "Full house two small, three big" (do
return assertEqual 16 (Yacht.score ⟨#[⟨2, by decide⟩, ⟨2, by decide⟩, ⟨4, by decide⟩, ⟨4, by decide⟩, ⟨4, by decide⟩], by decide⟩ .fullHouse))
|>.addTest "Full house three small, two big" (do
return assertEqual 19 (Yacht.score ⟨#[⟨5, by decide⟩, ⟨3, by decide⟩, ⟨3, by decide⟩, ⟨5, by decide⟩, ⟨3, by decide⟩], by decide⟩ .fullHouse))
|>.addTest "Two pair is not a full house" (do
return assertEqual 0 (Yacht.score ⟨#[⟨2, by decide⟩, ⟨2, by decide⟩, ⟨4, by decide⟩, ⟨4, by decide⟩, ⟨5, by decide⟩], by decide⟩ .fullHouse))
|>.addTest "Four of a kind is not a full house" (do
return assertEqual 0 (Yacht.score ⟨#[⟨1, by decide⟩, ⟨4, by decide⟩, ⟨4, by decide⟩, ⟨4, by decide⟩, ⟨4, by decide⟩], by decide⟩ .fullHouse))
|>.addTest "Yacht is not a full house" (do
return assertEqual 0 (Yacht.score ⟨#[⟨2, by decide⟩, ⟨2, by decide⟩, ⟨2, by decide⟩, ⟨2, by decide⟩, ⟨2, by decide⟩], by decide⟩ .fullHouse))
|>.addTest "Four of a Kind" (do
return assertEqual 24 (Yacht.score ⟨#[⟨6, by decide⟩, ⟨6, by decide⟩, ⟨4, by decide⟩, ⟨6, by decide⟩, ⟨6, by decide⟩], by decide⟩ .fourOfAKind))
|>.addTest "Yacht can be scored as Four of a Kind" (do
return assertEqual 12 (Yacht.score ⟨#[⟨3, by decide⟩, ⟨3, by decide⟩, ⟨3, by decide⟩, ⟨3, by decide⟩, ⟨3, by decide⟩], by decide⟩ .fourOfAKind))
|>.addTest "Full house is not Four of a Kind" (do
return assertEqual 0 (Yacht.score ⟨#[⟨3, by decide⟩, ⟨3, by decide⟩, ⟨3, by decide⟩, ⟨5, by decide⟩, ⟨5, by decide⟩], by decide⟩ .fourOfAKind))
|>.addTest "Little Straight" (do
return assertEqual 30 (Yacht.score ⟨#[⟨3, by decide⟩, ⟨5, by decide⟩, ⟨4, by decide⟩, ⟨1, by decide⟩, ⟨2, by decide⟩], by decide⟩ .littleStraight))
|>.addTest "Little Straight as Big Straight" (do
return assertEqual 0 (Yacht.score ⟨#[⟨1, by decide⟩, ⟨2, by decide⟩, ⟨3, by decide⟩, ⟨4, by decide⟩, ⟨5, by decide⟩], by decide⟩ .bigStraight))
|>.addTest "Four in order but not a little straight" (do
return assertEqual 0 (Yacht.score ⟨#[⟨1, by decide⟩, ⟨1, by decide⟩, ⟨2, by decide⟩, ⟨3, by decide⟩, ⟨4, by decide⟩], by decide⟩ .littleStraight))
|>.addTest "No pairs but not a little straight" (do
return assertEqual 0 (Yacht.score ⟨#[⟨1, by decide⟩, ⟨2, by decide⟩, ⟨3, by decide⟩, ⟨4, by decide⟩, ⟨6, by decide⟩], by decide⟩ .littleStraight))
|>.addTest "Minimum is 1, maximum is 5, but not a little straight" (do
return assertEqual 0 (Yacht.score ⟨#[⟨1, by decide⟩, ⟨1, by decide⟩, ⟨3, by decide⟩, ⟨4, by decide⟩, ⟨5, by decide⟩], by decide⟩ .littleStraight))
|>.addTest "Big Straight" (do
return assertEqual 30 (Yacht.score ⟨#[⟨4, by decide⟩, ⟨6, by decide⟩, ⟨2, by decide⟩, ⟨5, by decide⟩, ⟨3, by decide⟩], by decide⟩ .bigStraight))
|>.addTest "Big Straight as little straight" (do
return assertEqual 0 (Yacht.score ⟨#[⟨6, by decide⟩, ⟨5, by decide⟩, ⟨4, by decide⟩, ⟨3, by decide⟩, ⟨2, by decide⟩], by decide⟩ .littleStraight))
|>.addTest "No pairs but not a big straight" (do
return assertEqual 0 (Yacht.score ⟨#[⟨6, by decide⟩, ⟨5, by decide⟩, ⟨4, by decide⟩, ⟨3, by decide⟩, ⟨1, by decide⟩], by decide⟩ .bigStraight))
|>.addTest "Choice" (do
return assertEqual 23 (Yacht.score ⟨#[⟨3, by decide⟩, ⟨3, by decide⟩, ⟨5, by decide⟩, ⟨6, by decide⟩, ⟨6, by decide⟩], by decide⟩ .choice))
|>.addTest "Yacht as choice" (do
return assertEqual 10 (Yacht.score ⟨#[⟨2, by decide⟩, ⟨2, by decide⟩, ⟨2, by decide⟩, ⟨2, by decide⟩, ⟨2, by decide⟩], by decide⟩ .choice))

def main : IO UInt32 := do
runTestSuitesWithExitCode [yachtTests]
15 changes: 15 additions & 0 deletions exercises/practice/yacht/lakefile.toml
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name = "yacht"
version = "0.1.0"
defaultTargets = ["YachtTest"]
testDriver = "YachtTest"

[[lean_lib]]
name = "LeanTest"
srcDir = "vendor/LeanTest"

[[lean_lib]]
name = "Yacht"

[[lean_exe]]
name = "YachtTest"
root = "YachtTest"
1 change: 1 addition & 0 deletions exercises/practice/yacht/lean-toolchain
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@@ -0,0 +1 @@
leanprover/lean4:v4.25.2
4 changes: 4 additions & 0 deletions exercises/practice/yacht/vendor/LeanTest/LeanTest.lean
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-- This module serves as the root of the `LeanTest` library.
-- Import modules here that should be built as part of the library.
import LeanTest.Assertions
import LeanTest.Test
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