diff --git a/README.md b/README.md
index 87f614e..9fbc3dc 100644
--- a/README.md
+++ b/README.md
@@ -2,7 +2,7 @@
My (attempted) solutions to [Advent of Code 2020](https://adventofcode.com/2020) in Elixir.
-
+
## Strategy
diff --git a/day18/README b/day18/README
index f03a9b4..b50b9f3 100644
--- a/day18/README
+++ b/day18/README
@@ -5,7 +5,7 @@ Day 18 Notes
+--------+
$ elixir day18part1.exs
-
+21347713555555
Thoughts:
Since the order of precedence is the same, we can walk the token list, building up a left operand
@@ -18,17 +18,48 @@ use recursion to resolve the group, and push the result back onto the beginning
+--------+
$ elixir day18part2.exs
+275011754427339
Thoughts:
Now the order of precedence is relevant, so can no longer just walk the token list, need to know the
full context.
Addition basically becomes implicit brackets.
-Will do this part later.
+
+If we have a * operand, for example 2 in 1 * 2 + 3, we can't apply * without first looking ahead
+to see if there is a higher precedence +.
+
+I decided to build an Abstract Syntax Tree, and then evaluate it. To build the AST, I used the
+following strategy:
+
+1. First pass - resolve + operations.
+ For numbers and * operators, store them in a _later_ buffer until we know what to do with them.
+ For + operators, we can safely add the previous operand in the later buffer with the next
+ operand.
+ Recurse into brackets.
+2. Second pass - resolve * operations.
+ The second pass runs at the end of any bracket group, or the end of string.
+ All the additions have been handled, so can safely just multiply these.
+3. Finally, evaluate the AST recursively to get the answer.
+
+I spent far too long on this and it was very difficult to debug. The examples provided were very
+useful and hit a lot of edge cases. Again, I really struggle to reason about any form of recursion
+that is more complex than a simple loop. There were lots of IO.inspects going on in the development
+of this. The answer can probably be simplified further, but I'm pretty happy that I managed to
+implement it using an AST with multiple function clauses as a proof of concept.
+
+It's pretty hard to tell what all the clauses do at first glance, but then that would be true for a
+a huge function with lots of embedded conditionals too. I will definitely be seeing how other people
+implemented this one.
+------------------+
| Overall Thoughts |
+------------------+
+Part 1 was very simple due to it not having precedence, and I think it can be implemented nicely in
+Elixir. Part 2's deceptively simple requirements were surprisingly difficult - probably because of
+the approach I took with building an AST.
+Considering I have less time to spend on the last week of questions, I decided to chip away at this
+one over a few days. Now I'm spoilt for choice for which one to do next! 17, 19, or 20...
diff --git a/day18/day18part2.exs b/day18/day18part2.exs
new file mode 100644
index 0000000..7f353fa
--- /dev/null
+++ b/day18/day18part2.exs
@@ -0,0 +1,55 @@
+defmodule Day18Part2 do
+ def run do
+ File.stream!("input")
+ |> Stream.map(&tokenize/1)
+ |> Stream.map(&to_ast/1)
+ |> Stream.map(&evaluate/1)
+ |> Enum.sum()
+ |> IO.puts()
+ end
+
+ def tokenize(line) do
+ line
+ |> String.graphemes()
+ |> Stream.reject(fn char -> char in [" ", "\n"] end)
+ |> Enum.map(fn
+ symbol when symbol in ["*", "+", "(", ")"] -> symbol
+ num -> {:num, String.to_integer(num)}
+ end)
+ end
+
+ def to_ast(line), do: to_ast(line, nil, nil, [])
+ def to_ast([], ast, nil, []), do: ast
+ def to_ast([], ast, nil, later), do: ast_later(Enum.reverse([ast | later]), nil, nil)
+ def to_ast(["+" | rest], left, nil, later), do: to_ast(rest, left, "+", later)
+ def to_ast(["*" | rest], left, nil, later), do: to_ast(rest, nil, nil, ["*", left | later])
+
+ def to_ast(["(" | rest], nil, op, later) do
+ {new_left, rest} = to_ast(rest)
+ to_ast(rest, new_left, op, later)
+ end
+
+ def to_ast(["(" | rest], left, op, later) do
+ {new_left, rest} = to_ast(rest)
+ to_ast([left | rest], new_left, op, later)
+ end
+
+ def to_ast([")" | rest], ast, nil, later) do
+ ast = ast_later(Enum.reverse([ast | later]), nil, nil)
+ {ast, rest}
+ end
+
+ def to_ast([ast | rest], nil, nil, later), do: to_ast(rest, ast, nil, later)
+ def to_ast([right | rest], left, "+", later), do: to_ast(rest, {"+", left, right}, nil, later)
+
+ def ast_later([], ast, nil), do: ast
+ def ast_later(["*" | rest], left, nil), do: ast_later(rest, left, "*")
+ def ast_later([left | rest], nil, nil), do: ast_later(rest, left, nil)
+ def ast_later([right | rest], left, "*"), do: ast_later(rest, {"*", left, right}, nil)
+
+ def evaluate({:num, num}), do: num
+ def evaluate({"+", left, right}), do: evaluate(left) + evaluate(right)
+ def evaluate({"*", left, right}), do: evaluate(left) * evaluate(right)
+end
+
+Day18Part2.run()
diff --git a/day18/input b/day18/input
new file mode 100644
index 0000000..9f9739a
--- /dev/null
+++ b/day18/input
@@ -0,0 +1,372 @@
+(7 * 7 + (2 + 5 * 7 * 8 + 2) + 4 + 2) * 5 * ((9 * 3 * 9 + 8 + 3) + (9 + 4 + 7 + 8) * (2 + 5))
+((7 * 7 * 9 * 5 + 5) + 9 * (9 + 7 + 9 + 5 * 9 + 6)) * 7 + 8 * 6 + 4 * 4
+6 * (9 + 8 + 6 * 8 + (3 * 2 + 4)) + 4
+(7 * 5) + 4 + 7
+3 * (6 * 8 + 5 + (8 * 9 * 3 + 7 * 4) + 8) * 3 + 2 * 5
+(4 * 3 * (7 * 2 + 2 + 6 + 5) * 4 + 8) + 9 * (3 + 2 + (5 * 2)) * (2 + (2 * 9 * 3) * 5 * (7 * 5 + 6 * 2 * 7) + 5 + 5)
+4 + (6 * 7 * (5 * 7) * 4) * 2 + (4 + 8 * 5) + ((5 * 7 * 4 * 7) + 3 * 5 + (6 + 9 + 3 + 2) + 2 * 5) * 7
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