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 | defmodule Rect do
 defstruct [:id, :left, :top, :width, :height]
 
 alias __MODULE__
 
 def parse(spec) do
 [id, dimensions] = String.split(spec, "@", trim: true)
 [coords, size] = String.split(dimensions, ":", trim: true)
 
 [left, top] = String.split(coords, ",", trim: true) |> Enum.map(&parse_number/1)
 
 [width, height] = String.split(size, "x", trim: true) |> Enum.map(&parse_number/1)
 
 %Rect{
 id: String.trim(id),
 left: left,
 top: top,
 width: width,
 height: height
 }
 end
 
 defp parse_number(str), do: str |> String.trim() |> String.to_integer()
 
 def order_horizontal(r1, r2) do
 if r1.left < r2.left do
 {r1, r2}
 else
 {r2, r1}
 end
 end
 
 def order_vertical(r1, r2) do
 if r1.top < r2.top do
 {r1, r2}
 else
 {r2, r1}
 end
 end
 
 def squares(%Rect{width: w, height: h}) when w <= 0 or h <= 0, do: []
 
 def squares(%Rect{} = r) do
 for x <- r.left..(r.left + r.width - 1), y <- r.top..(r.top + r.height - 1), do: {x, y}
 end
 end
 
 defmodule Overlap do
 def area(spec) when is_binary(spec) do
 spec
 |> String.split("\n", trim: true)
 |> Enum.map(&Rect.parse/1)
 |> area
 end
 
 def area(rects, prev_squares \\ [])
 
 def area([h | tl], prev_squares) do
 squares =
 tl
 |> Enum.map(fn x -> overlap(h, x) |> Rect.squares() end)
 
 area(tl, [squares | prev_squares])
 end
 
 def area([], squares),
 do:
 squares
 |> List.flatten()
 |> Enum.uniq()
 |> Enum.count()
 
 def find_non_overlap(spec) when is_binary(spec) do
 rects =
 spec
 |> String.split("\n", trim: true)
 |> Enum.map(&Rect.parse/1)
 
 find_non_overlap(rects, rects)
 end
 
 def find_non_overlap([h | tl], all_rects) do
 if all_rects
 |> Enum.filter(fn x -> x.id != h.id end)
 |> Enum.all?(fn x ->
 o = overlap(h, x)
 o.width <= 0 || o.height <= 0
 end) do
 h
 else
 find_non_overlap(tl, all_rects)
 end
 end
 
 def find_non_overlap([], _), do: raise("Not found")
 
 def overlap(%Rect{} = r1, %Rect{} = r2) do
 {l, r} = Rect.order_horizontal(r1, r2)
 
 width = min(l.left + l.width - r.left, r.width)
 
 {t, b} = Rect.order_vertical(r1, r2)
 
 height = min(t.top + t.height - b.top, b.height)
 
 %Rect{
 left: r.left,
 top: b.top,
 width: width,
 height: height
 }
 end
 end
 
 defmodule OverlapTest do
 use ExUnit.Case
 
 import Overlap
 
 test "greets the world" do
 assert area("""
 # 1 @ 1,3: 4x4
 # 2 @ 3,1: 4x4
 # 3 @ 5,5: 2x2
 """) == 4
 
 assert area("""
 # 1 @ 1,3: 4x4
 # 2 @ 3,1: 4x4
 # 3 @ 1,3: 4x4
 """) == 16
 
 assert File.read!("input.txt") |> area == 0
 end
 
 test "overlap between 2 rects" do
 assert overlap(
 %Rect{id: "# 1", left: 1, top: 3, width: 4, height: 8},
 %Rect{id: "# 2", left: 3, top: 1, width: 4, height: 4}
 ) == %Rect{id: nil, left: 3, top: 3, width: 2, height: 2}
 
 assert overlap(
 %Rect{id: "# 1", left: 1, top: 3, width: 4, height: 4},
 %Rect{id: "# 3", left: 5, top: 5, width: 2, height: 2}
 ) == %Rect{height: 2, id: nil, left: 5, top: 5, width: 0}
 end
 
 test "find_non_overlap" do
 assert find_non_overlap("""
 # 1 @ 1,3: 4x4
 # 2 @ 3,1: 4x4
 # 3 @ 5,5: 2x2
 """).id == "# 3"
 
 assert File.read!("input.txt") |> find_non_overlap == 0
 end
 end
 
 defmodule RectTest do
 use ExUnit.Case
 
 test "parse" do
 assert Rect.parse("# 1 @ 1,3: 4x3") == %Rect{id: "# 1", left: 1, top: 3, width: 4, height: 3}
 end
 
 test "order_horizontal" do
 {%{id: "# 1"}, %{id: "# 2"}} =
 Rect.order_horizontal(
 %Rect{id: "# 1", left: 1, top: 3, width: 4, height: 3},
 %Rect{id: "# 2", left: 3, top: 3, width: 4, height: 3}
 )
 
 {%{id: "# 4"}, %{id: "# 3"}} =
 Rect.order_horizontal(
 %Rect{id: "# 3", left: 10, top: 3, width: 4, height: 3},
 %Rect{id: "# 4", left: 3, top: 3, width: 4, height: 3}
 )
 end
 
 test "order_vertical" do
 {%{id: "# 1"}, %{id: "# 2"}} =
 Rect.order_vertical(
 %Rect{id: "# 1", left: 1, top: 1, width: 4, height: 1},
 %Rect{id: "# 2", left: 3, top: 3, width: 4, height: 3}
 )
 
 {%{id: "# 4"}, %{id: "# 3"}} =
 Rect.order_vertical(
 %Rect{id: "# 3", left: 10, top: 10, width: 4, height: 10},
 %Rect{id: "# 4", left: 3, top: 3, width: 4, height: 3}
 )
 end
 
 test "squares" do
 assert Rect.squares(%Rect{id: "# 1", left: 1, top: 3, width: 2, height: 2}) == [
 {1, 3},
 {1, 4},
 {2, 3},
 {2, 4}
 ]
 
 assert Rect.squares(%Rect{id: "# 1", left: 1, top: 3, width: 0, height: 0}) == []
 assert Rect.squares(%Rect{id: "# 1", left: 1, top: 3, width: 0, height: 4}) == []
 assert Rect.squares(%Rect{id: "# 1", left: 1, top: 3, width: 4, height: 0}) == []
 assert Rect.squares(%Rect{id: "# 1", left: 1, top: 3, width: 4, height: -4}) == []
 assert Rect.squares(%Rect{id: "# 1", left: 1, top: 3, width: -4, height: 4}) == []
 end
 end
 
 
 |