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# Instructions | ||
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Compute the result for a game of Hex / Polygon. | ||
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The abstract boardgame known as [Hex][hex] / Polygon / CON-TAC-TIX is quite simple in rules, though complex in practice. | ||
Two players place stones on a parallelogram with hexagonal fields. | ||
The player to connect his/her stones to the opposite side first wins. | ||
The four sides of the parallelogram are divided between the two players (i.e. one player gets assigned a side and the side directly opposite it and the other player gets assigned the two other sides). | ||
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Your goal is to build a program that given a simple representation of a board computes the winner (or lack thereof). | ||
Note that all games need not be "fair". | ||
(For example, players may have mismatched piece counts or the game's board might have a different width and height.) | ||
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The boards look like this: | ||
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```text | ||
. O . X . | ||
. X X O . | ||
O O O X . | ||
. X O X O | ||
X O O O X | ||
``` | ||
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"Player `O`" plays from top to bottom, "Player `X`" plays from left to right. | ||
In the above example `O` has made a connection from left to right but nobody has won since `O` didn't connect top and bottom. | ||
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[hex]: https://en.wikipedia.org/wiki/Hex_%28board_game%29 |
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{ | ||
"authors": [ | ||
"erikschierboom" | ||
], | ||
"files": { | ||
"solution": [ | ||
"connect.ua" | ||
], | ||
"test": [ | ||
"tests.ua" | ||
], | ||
"example": [ | ||
".meta/example.ua" | ||
] | ||
}, | ||
"blurb": "Compute the result for a game of Hex / Polygon." | ||
} |
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Parse ← ⊜∘≠@\n. ▽≠@ . | ||
Neighbors ← +[¯1_0 ¯1_1 0_¯1 0_1 1_¯1 1_0]¤ | ||
Step ← ▽⊸∊⊃(⋅Neighbors|⊚=⊙⋅) | ||
Start! ← ▽≡(=0^0).⊚= | ||
End! ← =∩^0⊙(-1△) | ||
Wins‼! ← ±⧻♭≡(path(^1|^2)) ⊙¤ ⊸^0 | ||
XWins ← Wins‼!(Start!⊣ @X|Step @X|End!⊣) | ||
OWins ← Wins‼!(Start!⊢ @O|Step @O|End!⊢) | ||
Winner ← ⨬("None"|"Black"|"White") +⊃(XWins|×2OWins) Parse |
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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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[6eff0df4-3e92-478d-9b54-d3e8b354db56] | ||
description = "an empty board has no winner" | ||
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[298b94c0-b46d-45d8-b34b-0fa2ea71f0a4] | ||
description = "X can win on a 1x1 board" | ||
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[763bbae0-cb8f-4f28-bc21-5be16a5722dc] | ||
description = "O can win on a 1x1 board" | ||
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[819fde60-9ae2-485e-a024-cbb8ea68751b] | ||
description = "only edges does not make a winner" | ||
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[2c56a0d5-9528-41e5-b92b-499dfe08506c] | ||
description = "illegal diagonal does not make a winner" | ||
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[41cce3ef-43ca-4963-970a-c05d39aa1cc1] | ||
description = "nobody wins crossing adjacent angles" | ||
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[cd61c143-92f6-4a8d-84d9-cb2b359e226b] | ||
description = "X wins crossing from left to right" | ||
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[73d1eda6-16ab-4460-9904-b5f5dd401d0b] | ||
description = "O wins crossing from top to bottom" | ||
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[c3a2a550-944a-4637-8b3f-1e1bf1340a3d] | ||
description = "X wins using a convoluted path" | ||
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[17e76fa8-f731-4db7-92ad-ed2a285d31f3] | ||
description = "X wins using a spiral path" |
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# Compute the result for a game of Hex/Polygon | ||
# Winner ? Board | ||
Winner ← |1 ⊙(⍤"Please implement Winner" 0) |
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~ "connect.ua" ~ Winner | ||
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# An empty board has no winner | ||
Board ← $ . . . . . | ||
$ . . . . . | ||
$ . . . . . | ||
$ . . . . . | ||
$ . . . . . | ||
⍤⤙≍ "None" Winner Board | ||
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# X can win on a 1x1 board | ||
Board ← $ X | ||
⍤⤙≍ "Black" Winner Board | ||
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# O can win on a 1x1 board | ||
Board ← $ O | ||
⍤⤙≍ "White" Winner Board | ||
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# Only edges does not make a winner | ||
Board ← $ O O O X | ||
$ X . . X | ||
$ X . . X | ||
$ X O O O | ||
⍤⤙≍ "None" Winner Board | ||
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# Illegal diagonal does not make a winner | ||
Board ← $ X O . . | ||
$ O X X X | ||
$ O X O . | ||
$ . O X . | ||
$ X X O O | ||
⍤⤙≍ "None" Winner Board | ||
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# Nobody wins crossing adjacent angles | ||
Board ← $ X . . . | ||
$ . X O . | ||
$ O . X O | ||
$ . O . X | ||
$ . . O . | ||
⍤⤙≍ "None" Winner Board | ||
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# X wins crossing from left to right | ||
Board ← $ . O . . | ||
$ O X X X | ||
$ O X O . | ||
$ X X O X | ||
$ . O X . | ||
⍤⤙≍ "Black" Winner Board | ||
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# O wins crossing from top to bottom | ||
Board ← $ . O . . | ||
$ O X X X | ||
$ O O O . | ||
$ X X O X | ||
$ . O X . | ||
⍤⤙≍ "White" Winner Board | ||
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# X wins using a convoluted path | ||
Board ← $ . X X . . | ||
$ X . X . X | ||
$ . X . X . | ||
$ . X X . . | ||
$ O O O O O | ||
⍤⤙≍ "Black" Winner Board | ||
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# X wins using a spiral path | ||
Board ← $ O X X X X X X X X | ||
$ O X O O O O O O O | ||
$ O X O X X X X X O | ||
$ O X O X O O O X O | ||
$ O X O X X X O X O | ||
$ O X O O O X O X O | ||
$ O X X X X X O X O | ||
$ O O O O O O O X O | ||
$ X X X X X X X X O | ||
⍤⤙≍ "Black" Winner Board |