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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": [ | ||
"tasxatzial" | ||
], | ||
"files": { | ||
"solution": [ | ||
"src/connect.clj" | ||
], | ||
"test": [ | ||
"test/connect_test.clj" | ||
], | ||
"example": [ | ||
".meta/example.clj" | ||
] | ||
}, | ||
"blurb": "Compute the result for a game of Hex / Polygon." | ||
} |
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(ns connect) | ||
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(defn find-input-dimensions | ||
[input-board] | ||
(let [rows (count input-board) | ||
columns (/ (inc (.length (first input-board))) 2)] | ||
{:rows rows | ||
:columns columns | ||
:max-pos (* rows columns)})) | ||
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(defn parse-value | ||
[value] | ||
(if (= value ".") | ||
{:value :E} | ||
{:value (keyword value)})) | ||
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(defn create-values | ||
[input-board] | ||
(let [dimensions (find-input-dimensions input-board)] | ||
(->> input-board | ||
(apply str) | ||
(re-seq #"[XO.]") | ||
(map parse-value) | ||
(zipmap (range 1 (inc (:max-pos dimensions))))))) | ||
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(defn connect-positions | ||
[board pos1 pos2] | ||
(-> board | ||
(update-in [pos1 :neighbors] #(conj % pos2)) | ||
(update-in [pos2 :neighbors] #(conj % pos1)))) | ||
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(defn on-right-edge? | ||
[pos dimensions] | ||
(zero? (rem pos (:columns dimensions)))) | ||
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(defn on-bottom-edge? | ||
[pos dimensions] | ||
(> pos (- (:max-pos dimensions) (:columns dimensions)))) | ||
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(defn on-left-edge? | ||
[pos dimensions] | ||
(zero? (rem (dec pos) (:columns dimensions)))) | ||
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(defn connect-right | ||
[board pos dimensions] | ||
(if (on-right-edge? pos dimensions) | ||
board | ||
(connect-positions board pos (inc pos)))) | ||
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(defn connect-down-right | ||
[board pos dimensions] | ||
(if (on-bottom-edge? pos dimensions) | ||
board | ||
(connect-positions board pos (+ pos (:columns dimensions))))) | ||
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(defn connect-down-left | ||
[board pos dimensions] | ||
(if (or (on-left-edge? pos dimensions) | ||
(on-bottom-edge? pos dimensions)) | ||
board | ||
(connect-positions board pos (+ pos (dec (:columns dimensions)))))) | ||
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(defn create-position-connections | ||
[board pos dimensions] | ||
(reduce #(%2 %1 pos dimensions) | ||
board [connect-right connect-down-left connect-down-right])) | ||
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(defn create-connections | ||
[input-board] | ||
(let [dimensions (find-input-dimensions input-board)] | ||
(reduce #(create-position-connections %1 %2 dimensions) | ||
{} (range 1 (inc (:max-pos dimensions)))))) | ||
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(defn create-board | ||
[input-board] | ||
(let [connections (create-connections input-board) | ||
values (create-values input-board)] | ||
(merge-with into values connections))) | ||
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(defn path? | ||
[board start-pos final-positions] | ||
(let [start-value (:value (get board start-pos))] | ||
(if (= start-value :E) | ||
false | ||
(loop [positions-to-visit [start-pos] | ||
visited #{}] | ||
(if (empty? positions-to-visit) | ||
false | ||
(let [current-position (peek positions-to-visit) | ||
remaining-positions (pop positions-to-visit) | ||
new-visited (conj visited current-position) | ||
neighbors (:neighbors (get board current-position)) | ||
valid-neighbors (filter #(and (not (visited %)) | ||
(= start-value (:value (get board %)))) | ||
neighbors)] | ||
(cond | ||
(contains? final-positions current-position) true | ||
(visited current-position) (recur remaining-positions visited) | ||
:else (recur (into remaining-positions valid-neighbors) new-visited)))))))) | ||
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(defn any-path? | ||
[board start-positions final-positions] | ||
(boolean (some #(path? board % final-positions) start-positions))) | ||
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(defn X-edge-positions | ||
[dimensions] | ||
(let [{:keys [columns max-pos]} dimensions] | ||
{:start-positions (range 1 (inc max-pos) columns) | ||
:end-positions (range columns (inc max-pos) columns)})) | ||
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(defn O-edge-positions | ||
[dimensions] | ||
(let [{:keys [columns max-pos]} dimensions] | ||
{:start-positions (range 1 (inc columns)) | ||
:end-positions (range (inc (- max-pos columns)) (inc max-pos))})) | ||
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(def type->edge-positions-fn | ||
{:X X-edge-positions | ||
:O O-edge-positions}) | ||
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(defn filter-positions-by-type | ||
[board positions type] | ||
(filter #(= type (:value (get board %))) positions)) | ||
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(defn wins? | ||
[type board dimensions] | ||
(let [edge-positions-fn (type->edge-positions-fn type) | ||
{:keys [start-positions end-positions]} (edge-positions-fn dimensions) | ||
starting-type-positions (filter-positions-by-type board start-positions type)] | ||
(any-path? board starting-type-positions (set end-positions)))) | ||
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(defn connect-winner | ||
[input-board] | ||
(let [board (create-board input-board) | ||
dimensions (find-input-dimensions input-board)] | ||
(cond | ||
(wins? :X board dimensions) :X | ||
(wins? :O board dimensions) :O | ||
:else :no-winner))) |
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(ns connect-generator | ||
(:require [hbs.helper :refer [safe-str]])) | ||
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(defn- update-expected [expected] | ||
(if (= "" expected) | ||
(safe-str :no-winner) | ||
(safe-str (keyword expected)))) | ||
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(defn update-test-case [test-case] | ||
(update test-case :expected update-expected)) |
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(ns connect-test | ||
(:require [clojure.test :refer [deftest testing is]] | ||
connect)) | ||
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{{#test_cases.winner}} | ||
(deftest connect-winner_test_{{idx}} | ||
(testing {{description}} | ||
(is (= {{expected}} | ||
(connect/connect-winner | ||
[{{#input.board~}} | ||
{{.}} | ||
{{/input.board}}]))))) | ||
{{/test_cases.winner}} |
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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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{:aliases {:test {:extra-paths ["test"] | ||
:extra-deps {io.github.cognitect-labs/test-runner | ||
{:git/url "https://github.com/cognitect-labs/test-runner.git" | ||
:sha "705ad25bbf0228b1c38d0244a36001c2987d7337"}} | ||
:main-opts ["-m" "cognitect.test-runner"] | ||
:exec-fn cognitect.test-runner.api/test}}} |
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(defproject connect "0.1.0-SNAPSHOT" | ||
:description "connect exercise." | ||
:url "https://github.com/exercism/clojure/tree/main/exercises/practice/connect" | ||
:dependencies [[org.clojure/clojure "1.12.0"]]) |
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(ns connect) | ||
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(defn connect-winner | ||
"Returns the winner of the given connect board." | ||
[board] | ||
) |
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(ns connect-test | ||
(:require [clojure.test :refer [deftest testing is]] | ||
connect)) | ||
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(deftest connect-winner_test_1 | ||
(testing "an empty board has no winner" | ||
(is (= :no-winner | ||
(connect/connect-winner | ||
[". . . . ." | ||
" . . . . ." | ||
" . . . . ." | ||
" . . . . ." | ||
" . . . . ."]))))) | ||
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(deftest connect-winner_test_2 | ||
(testing "X can win on a 1x1 board" | ||
(is (= :X | ||
(connect/connect-winner | ||
["X"]))))) | ||
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(deftest connect-winner_test_3 | ||
(testing "O can win on a 1x1 board" | ||
(is (= :O | ||
(connect/connect-winner | ||
["O"]))))) | ||
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(deftest connect-winner_test_4 | ||
(testing "only edges does not make a winner" | ||
(is (= :no-winner | ||
(connect/connect-winner | ||
["O O O X" | ||
" X . . X" | ||
" X . . X" | ||
" X O O O"]))))) | ||
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(deftest connect-winner_test_5 | ||
(testing "illegal diagonal does not make a winner" | ||
(is (= :no-winner | ||
(connect/connect-winner | ||
["X O . ." | ||
" O X X X" | ||
" O X O ." | ||
" . O X ." | ||
" X X O O"]))))) | ||
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(deftest connect-winner_test_6 | ||
(testing "nobody wins crossing adjacent angles" | ||
(is (= :no-winner | ||
(connect/connect-winner | ||
["X . . ." | ||
" . X O ." | ||
" O . X O" | ||
" . O . X" | ||
" . . O ."]))))) | ||
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(deftest connect-winner_test_7 | ||
(testing "X wins crossing from left to right" | ||
(is (= :X | ||
(connect/connect-winner | ||
[". O . ." | ||
" O X X X" | ||
" O X O ." | ||
" X X O X" | ||
" . O X ."]))))) | ||
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(deftest connect-winner_test_8 | ||
(testing "O wins crossing from top to bottom" | ||
(is (= :O | ||
(connect/connect-winner | ||
[". O . ." | ||
" O X X X" | ||
" O O O ." | ||
" X X O X" | ||
" . O X ."]))))) | ||
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(deftest connect-winner_test_9 | ||
(testing "X wins using a convoluted path" | ||
(is (= :X | ||
(connect/connect-winner | ||
[". X X . ." | ||
" X . X . X" | ||
" . X . X ." | ||
" . X X . ." | ||
" O O O O O"]))))) | ||
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(deftest connect-winner_test_10 | ||
(testing "X wins using a spiral path" | ||
(is (= :X | ||
(connect/connect-winner | ||
["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"]))))) |