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[#768] New practice exercise go-counting
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# Description | ||
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Count the scored points on a Go board. | ||
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In the game of go (also known as baduk, igo, cờ vây and wéiqí) points | ||
are gained by completely encircling empty intersections with your | ||
stones. The encircled intersections of a player are known as its | ||
territory. | ||
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Write a function that determines the territory of each player. You may | ||
assume that any stones that have been stranded in enemy territory have | ||
already been taken off the board. | ||
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Write a function that determines the territory which includes a specified coordinate. | ||
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Multiple empty intersections may be encircled at once and for encircling | ||
only horizontal and vertical neighbours count. In the following diagram | ||
the stones which matter are marked "O" and the stones that don't are | ||
marked "I" (ignored). Empty spaces represent empty intersections. | ||
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```text | ||
+----+ | ||
|IOOI| | ||
|O O| | ||
|O OI| | ||
|IOI | | ||
+----+ | ||
``` | ||
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To be more precise an empty intersection is part of a player's territory | ||
if all of its neighbours are either stones of that player or empty | ||
intersections that are part of that player's territory. | ||
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For more information see | ||
[wikipedia](https://en.wikipedia.org/wiki/Go_%28game%29) or [Sensei's | ||
Library](http://senseis.xmp.net/). |
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# Used by "mix format" | ||
[ | ||
inputs: ["{mix,.formatter}.exs", "{config,lib,test}/**/*.{ex,exs}"] | ||
] |
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{ | ||
"authors": ["jiegillet"], | ||
"contributors": [ | ||
"angelikatyborska" | ||
], | ||
"files": { | ||
"example": [ | ||
".meta/example.ex" | ||
], | ||
"solution": [ | ||
"lib/go_counting.ex" | ||
], | ||
"test": [ | ||
"test/go_counting_test.exs" | ||
] | ||
}, | ||
"blurb": "Count the scored points on a Go board." | ||
} |
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defmodule GoCounting do | ||
@type position :: {integer, integer} | ||
@type owner :: %{owner: atom, territory: [position]} | ||
@type territories :: %{white: [position], black: [position], none: [position]} | ||
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@doc """ | ||
Return the owner and territory around a position | ||
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""" | ||
@spec territory(board :: String.t(), position :: position) :: | ||
{:ok, owner} | {:error, String.t()} | ||
def territory(board, {x, y} = pos) do | ||
size_x = String.split(board, "\n") |> hd |> String.length() | ||
size_y = String.split(board, "\n", trim: true) |> length() | ||
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if x < 0 or x >= size_x or y < 0 or y >= size_y do | ||
{:error, "Invalid coordinate"} | ||
else | ||
owner = | ||
board | ||
|> make_graph | ||
|> expand_territory([pos]) | ||
|> get_owner | ||
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{:ok, owner} | ||
end | ||
end | ||
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@doc """ | ||
Return all white, black and neutral territories | ||
""" | ||
@spec territories(board :: String.t()) :: territories | ||
def territories(board) do | ||
graph = make_graph(board) | ||
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empties = for {pos, {:none, _neighbors}} <- graph, do: pos | ||
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territories(graph, empties, %{white: [], black: [], none: []}) | ||
end | ||
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def territories(_graph, [], territories), do: territories | ||
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def territories(graph, [pos | positions], territories) do | ||
%{owner: owner, territory: territory} = | ||
graph | ||
|> expand_territory([pos]) | ||
|> get_owner | ||
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positions = Enum.reject(positions, &(&1 in territory)) | ||
territories = %{territories | owner => Enum.sort(territories[owner] ++ territory)} | ||
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territories(graph, positions, territories) | ||
end | ||
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def to_color(?W), do: :white | ||
def to_color(?B), do: :black | ||
def to_color(?_), do: :none | ||
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def make_graph(board) do | ||
board = | ||
board | ||
|> String.split("\n", trim: true) | ||
|> Enum.map(fn row -> row |> to_charlist |> Enum.map(&to_color/1) end) | ||
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left_right_edges = | ||
for {[color], r} <- Enum.with_index(board) do | ||
# For rows with a single column we cannot use zip | ||
%{{0, r} => {color, []}} | ||
end ++ | ||
for {row, r} <- Enum.with_index(board), | ||
{{cell, right_cell}, c} <- Enum.zip(row, tl(row)) |> Enum.with_index() do | ||
# For rows with multiple columns, we zip | ||
%{{c, r} => {cell, [{c + 1, r}]}, {c + 1, r} => {right_cell, [{c, r}]}} | ||
end | ||
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top_down_edges = | ||
case board do | ||
[row] -> | ||
for {color, c} <- Enum.with_index(row), do: %{{c, 0} => {color, []}} | ||
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_ -> | ||
for {{row, row_below}, r} <- Enum.zip(board, tl(board)) |> Enum.with_index(), | ||
{{cell, below_cell}, c} <- Enum.zip(row, row_below) |> Enum.with_index() do | ||
%{{c, r} => {cell, [{c, r + 1}]}, {c, r + 1} => {below_cell, [{c, r}]}} | ||
end | ||
end | ||
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Enum.reduce( | ||
left_right_edges ++ top_down_edges, | ||
%{}, | ||
&Map.merge(&1, &2, fn _key, {cell, n1}, {cell, n2} -> {cell, n1 ++ n2} end) | ||
) | ||
end | ||
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def expand_territory(graph, positions, visited \\ MapSet.new()) | ||
def expand_territory(_graph, [], _visited), do: [] | ||
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def expand_territory(graph, [pos | positions], visited) do | ||
{color, neighbors} = | ||
case graph[pos] do | ||
{:white, _neighbors} -> | ||
{:white, []} | ||
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{:black, _neighbors} -> | ||
{:black, []} | ||
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{:none, neighbors} -> | ||
{:none, Enum.reject(neighbors, &(&1 in visited))} | ||
end | ||
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[{pos, color} | expand_territory(graph, neighbors ++ positions, MapSet.put(visited, pos))] | ||
end | ||
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def get_owner(territory) do | ||
empties = for {pos, :none} <- territory, do: pos | ||
colors = for {_pos, color} when color != :none <- territory, do: color | ||
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%{ | ||
territory: Enum.sort(empties), | ||
owner: | ||
case {Enum.empty?(empties), Enum.uniq(colors)} do | ||
{false, [:white]} -> :white | ||
{false, [:black]} -> :black | ||
_ -> :none | ||
end | ||
} | ||
end | ||
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. | ||
[94d0c01a-17d0-424c-aab5-2736d0da3939] | ||
description = "Black corner territory on 5x5 board" | ||
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[b33bec54-356a-485c-9c71-1142a9403213] | ||
description = "White center territory on 5x5 board" | ||
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[def7d124-422e-44ae-90e5-ceda09399bda] | ||
description = "Open corner territory on 5x5 board" | ||
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[57d79036-2618-47f4-aa87-56c06d362e3d] | ||
description = "A stone and not a territory on 5x5 board" | ||
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[0c84f852-e032-4762-9010-99f6a001da96] | ||
description = "Invalid because X is too low for 5x5 board" | ||
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[6f867945-9b2c-4bdd-b23e-b55fe2069a68] | ||
description = "Invalid because X is too high for 5x5 board" | ||
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[d67aaffd-fdf1-4e7f-b9e9-79897402b64a] | ||
description = "Invalid because Y is too low for 5x5 board" | ||
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[14f23c25-799e-4371-b3e5-777a2c30357a] | ||
description = "Invalid because Y is too high for 5x5 board" | ||
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[37fb04b5-98c1-4b96-8c16-af2d13624afd] | ||
description = "One territory is the whole board" | ||
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[9a1c59b7-234b-495a-8d60-638489f0fc0a] | ||
description = "Two territory rectangular board" | ||
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[d1645953-1cd5-4221-af6f-8164f96249e1] | ||
description = "Two region rectangular board" |
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defmodule GoCounting do | ||
@type position :: {integer, integer} | ||
@type owner :: %{owner: atom, territory: [position]} | ||
@type territories :: %{white: [position], black: [position], none: [position]} | ||
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@doc """ | ||
Return the owner and territory around a position | ||
""" | ||
@spec territory(board :: String.t(), position :: position) :: | ||
{:ok, owner} | {:error, String.t()} | ||
def territory(board, {x, y} = pos) do | ||
end | ||
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@doc """ | ||
Return all white, black and neutral territories | ||
""" | ||
@spec territories(board :: String.t()) :: territories | ||
def territories(board) do | ||
end | ||
end |
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defmodule GoCounting.MixProject do | ||
use Mix.Project | ||
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def project do | ||
[ | ||
app: :go_counting, | ||
version: "0.1.0", | ||
# elixir: "~> 1.8", | ||
start_permanent: Mix.env() == :prod, | ||
deps: deps() | ||
] | ||
end | ||
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# Run "mix help compile.app" to learn about applications. | ||
def application do | ||
[ | ||
extra_applications: [:logger] | ||
] | ||
end | ||
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# Run "mix help deps" to learn about dependencies. | ||
defp deps do | ||
[ | ||
# {:dep_from_hexpm, "~> 0.3.0"}, | ||
# {:dep_from_git, git: "https://github.com/elixir-lang/my_dep.git", tag: "0.1.0"} | ||
] | ||
end | ||
end |
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Anything go-related probably deserves a 9 😬