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# Instructions append | ||
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This exercises uses [modules as functions](https://www.uiua.org/tutorial/modules#modules-as-functions) for a nice way to group functions that work on the same type of data (queens on a chessboard in this case). |
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# Instructions | ||
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Given the position of two queens on a chess board, indicate whether or not they are positioned so that they can attack each other. | ||
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In the game of chess, a queen can attack pieces which are on the same row, column, or diagonal. | ||
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A chessboard can be represented by an 8 by 8 array. | ||
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So if you are told the white queen is at `c5` (zero-indexed at column 2, row 3) and the black queen at `f2` (zero-indexed at column 5, row 6), then you know that the set-up is like so: | ||
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![A chess board with two queens. Arrows emanating from the queen at c5 indicate possible directions of capture along file, rank and diagonal.](https://assets.exercism.org/images/exercises/queen-attack/queen-capture.svg) | ||
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You are also able to answer whether the queens can attack each other. | ||
In this case, that answer would be yes, they can, because both pieces share a diagonal. | ||
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## Credit | ||
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The chessboard image was made by [habere-et-dispertire][habere-et-dispertire] using LaTeX and the [chessboard package][chessboard-package] by Ulrike Fischer. | ||
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[habere-et-dispertire]: https://exercism.org/profiles/habere-et-dispertire | ||
[chessboard-package]: https://github.com/u-fischer/chessboard |
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{ | ||
"authors": [ | ||
"erikschierboom" | ||
], | ||
"files": { | ||
"solution": [ | ||
"queen-attack.ua" | ||
], | ||
"test": [ | ||
"tests.ua" | ||
], | ||
"example": [ | ||
".meta/example.ua" | ||
] | ||
}, | ||
"blurb": "Given the position of two queens on a chess board, indicate whether or not they are positioned so that they can attack each other.", | ||
"source": "J Dalbey's Programming Practice problems", | ||
"source_url": "https://users.csc.calpoly.edu/~jdalbey/103/Projects/ProgrammingPractice.html" | ||
} |
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┌─╴Queen | ||
Valid ← ×⊓≥≤0,7 | ||
New ← ⊟⊓(⍤"invalid row" Valid.|⍤"invalid column" Valid.) | ||
Row ← ⊢ | ||
Column ← ⊣ | ||
CanAttack ← ↥↥⊃(=|⋅⋅=|=⊙(⌵-)⌵-) ⊃(∩Row|∩Column) | ||
└─╴ |
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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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[3ac4f735-d36c-44c4-a3e2-316f79704203] | ||
description = "Test creation of Queens with valid and invalid positions -> queen with a valid position" | ||
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[4e812d5d-b974-4e38-9a6b-8e0492bfa7be] | ||
description = "Test creation of Queens with valid and invalid positions -> queen must have positive row" | ||
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[f07b7536-b66b-4f08-beb9-4d70d891d5c8] | ||
description = "Test creation of Queens with valid and invalid positions -> queen must have row on board" | ||
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[15a10794-36d9-4907-ae6b-e5a0d4c54ebe] | ||
description = "Test creation of Queens with valid and invalid positions -> queen must have positive column" | ||
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[6907762d-0e8a-4c38-87fb-12f2f65f0ce4] | ||
description = "Test creation of Queens with valid and invalid positions -> queen must have column on board" | ||
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[33ae4113-d237-42ee-bac1-e1e699c0c007] | ||
description = "Test the ability of one queen to attack another -> cannot attack" | ||
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[eaa65540-ea7c-4152-8c21-003c7a68c914] | ||
description = "Test the ability of one queen to attack another -> can attack on same row" | ||
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[bae6f609-2c0e-4154-af71-af82b7c31cea] | ||
description = "Test the ability of one queen to attack another -> can attack on same column" | ||
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[0e1b4139-b90d-4562-bd58-dfa04f1746c7] | ||
description = "Test the ability of one queen to attack another -> can attack on first diagonal" | ||
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[ff9b7ed4-e4b6-401b-8d16-bc894d6d3dcd] | ||
description = "Test the ability of one queen to attack another -> can attack on second diagonal" | ||
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[0a71e605-6e28-4cc2-aa47-d20a2e71037a] | ||
description = "Test the ability of one queen to attack another -> can attack on third diagonal" | ||
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[0790b588-ae73-4f1f-a968-dd0b34f45f86] | ||
description = "Test the ability of one queen to attack another -> can attack on fourth diagonal" | ||
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[543f8fd4-2597-4aad-8d77-cbdab63619f8] | ||
description = "Test the ability of one queen to attack another -> cannot attack if falling diagonals are only the same when reflected across the longest falling diagonal" |
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┌─╴Queen | ||
# Create a new queen | ||
# Queen ? Row Column | ||
New ← |2 ⊙⋅(⍤ "Please implement New" 0) | ||
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# Get a queen's row | ||
# Row ? Queen | ||
Row ← |1 ⊙(⍤ "Please implement Row" 0) | ||
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# Get a queen's column | ||
# Column ? Queen | ||
Column ← |1 ⊙(⍤ "Please implement Row" 0) | ||
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# Check if two queens can attack each other | ||
# Validity ? Queen1 Queen2 | ||
CanAttack ← |2 ⊙⋅(⍤ "Please implement CanAttack" 0) | ||
└─╴ |
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~ "queen-attack.ua" ~ Queen | ||
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# Queen must have positive row | ||
⍤⤙≍ "invalid row" ⍣(Queen~New ¯2 2) | ||
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# Queen must have row on board | ||
⍤⤙≍ "invalid row" ⍣(Queen~New 8 4) | ||
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# Queen must have positive column | ||
⍤⤙≍ "invalid column" ⍣(Queen~New 2 ¯2) | ||
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# Queen must have column on board | ||
⍤⤙≍ "invalid column" ⍣(Queen~New 4 8) | ||
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# Row of queen with a valid position | ||
⍤⤙≍ 2 Queen~Row Queen~New 2 3 | ||
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# Column of queen with a valid position | ||
⍤⤙≍ 3 Queen~Column Queen~New 2 3 | ||
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# Cannot attack | ||
WhiteQueen ← Queen~New 2 4 | ||
BlackQueen ← Queen~New 6 6 | ||
⍤⤙≍ 0 Queen~CanAttack BlackQueen WhiteQueen | ||
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# Can attack on same row | ||
WhiteQueen ← Queen~New 2 4 | ||
BlackQueen ← Queen~New 2 6 | ||
⍤⤙≍ 1 Queen~CanAttack BlackQueen WhiteQueen | ||
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# Can attack on same column | ||
WhiteQueen ← Queen~New 4 5 | ||
BlackQueen ← Queen~New 2 5 | ||
⍤⤙≍ 1 Queen~CanAttack BlackQueen WhiteQueen | ||
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# Can attack on first diagonal | ||
WhiteQueen ← Queen~New 2 2 | ||
BlackQueen ← Queen~New 0 4 | ||
⍤⤙≍ 1 Queen~CanAttack BlackQueen WhiteQueen | ||
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# Can attack on second diagonal | ||
WhiteQueen ← Queen~New 2 2 | ||
BlackQueen ← Queen~New 3 1 | ||
⍤⤙≍ 1 Queen~CanAttack BlackQueen WhiteQueen | ||
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# Can attack on third diagonal | ||
WhiteQueen ← Queen~New 2 2 | ||
BlackQueen ← Queen~New 1 1 | ||
⍤⤙≍ 1 Queen~CanAttack BlackQueen WhiteQueen | ||
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# Can attack on fourth diagonal | ||
WhiteQueen ← Queen~New 1 7 | ||
BlackQueen ← Queen~New 0 6 | ||
⍤⤙≍ 1 Queen~CanAttack BlackQueen WhiteQueen | ||
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# Cannot attack if falling diagonals are only the same when reflected across the longest falling diagonal | ||
WhiteQueen ← Queen~New 4 1 | ||
BlackQueen ← Queen~New 2 5 | ||
⍤⤙≍ 0 Queen~CanAttack BlackQueen WhiteQueen |