Day 18 Part 2

README.md

@@ -2,7 +2,7 @@
 
 My (attempted) solutions to [Advent of Code 2020](https://adventofcode.com/2020) in Elixir.
 
-<img width="983" alt="image" src="https://user-images.githubusercontent.com/498229/102591989-31987500-4156-11eb-8d21-2ea88021c9b0.png">
+<img width="978" alt="image" src="https://user-images.githubusercontent.com/498229/102717151-cdc3a700-4323-11eb-930e-613465f503d1.png">
 
 ## Strategy
 

day18/README

@@ -5,7 +5,7 @@ Day 18 Notes
 +--------+
 
 $ elixir day18part1.exs
-<will add later>
+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...

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()

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
+2 + 4 + ((4 * 4 + 3 + 7 * 4) + 4 + (2 * 5 + 9) + 8 + 4 + 7) + 5 * 5 + 9
+7 * (7 * 3 + 2 * 9 + 7 + 7) * 3 * 4
+8 + 4 + 3 + 9 + 8
+2 + 2 + 6 * (5 + 9 * 3 * 7) * 6
+(3 * 9 * 4 + 2 * 6) * 8
+8 + 6 * 4 + (7 + 7 + 8 + 9) * ((2 + 3 + 7 + 6 * 3) + 6 * 6)
+7 + 9 * 3 * 9
+((9 + 6) + 7 + 6) + (2 + 5 * 3 * 2 * 7)
+(8 * 7 + 6 * 6 * 7 + 3) + 5
+9 * (8 + 3) * 9 + (4 + 8 * (3 + 9 + 5)) * 9
+9 + (5 * 2 * 4 + 3) * 3 + 6
+(3 + 7 + 2 + 3) * 3
+3 * (7 + 3 * 8 * 9 * (5 * 7 * 7 * 5 * 9 * 2) + (3 + 2)) * 7 + (8 + (6 + 9 + 6 * 7)) * 7 + 3
+(8 * 3 * (2 * 2 + 9 * 2) + 3 + 8) + 8
+3 + 5 + (6 * 6) + 8 * ((7 + 9 + 5 * 7 + 3 + 9) * 6 * 4 + (3 + 8 * 6 + 6 + 7 * 5) + 9) + 2
+(3 * 7 + 3) + 3 * (5 + 7 * 5 * 2) + 6 + (9 + 9) * (5 + (9 * 6 + 7 + 5 * 2) + 5)
+(7 + 9 * 2 + 3) * 5 * 8 * 8
+7 + 6 * 7 + 2 * ((9 + 2 + 3) + 2 + 2 + 3 + 4)
+((3 * 4 * 8 + 4 + 5 * 9) + 2 * 2) * 3
+5 * 4 + 3 + (5 * (6 * 2 + 8) + (4 + 5 + 3 + 2 * 3 * 3) * (7 + 3 + 4 + 4) * 9) + 7
+9 * (2 * (2 * 7 + 2 * 9 + 4) + 6)
+4 + (2 + (5 + 6 + 7 + 7 + 9 * 9) * 2 * 4) + (8 + 7 + 4 * 7) * 7 * 5
+9 * (4 * 3 * 6 + 2)
+9 * 8 + 4 * 9 + (4 + 7 + 7 + 6 * 2 + 3)
+5 * (9 * 2 + 8) + 8
+5 + (8 * 2 + 5 * 9) + 9 * 8 * 2 * 5
+5 + 2 * 4 + 4
+(6 * 8 * 9 + 2) + 7 + 5 + 4 * 4 * 8
+(8 * 4 * 2 + 5 * 5 * (9 + 8 + 7 + 9)) + (9 * 9 * 3 + (4 + 7) + 6) + (8 + 2 + 8 * 5 * (3 * 8)) * 6 + 2 + 9
+4 + (8 + 3 + 6 + 3) + 8 + 9 * 2
+(3 * 4 * 2 * 2) + 8 + 7 + 5 + 5
+5 + (8 * 3 * 6 * (6 + 3 * 8 * 4) * 6) + ((4 * 3 * 7) + 6 + 2 + (2 * 5 * 3 * 8) + (2 + 9 * 5 + 2) + 6) * ((3 + 7) + 5 * 4) + 6 * 2
+(8 * 4 + 8 + 7 + (6 * 7 * 5 + 4)) + 7 * 8 + 4 + 4 * 6
+2 * 5 + (6 + 6 + 5 * (2 * 9 + 8 * 4)) + (5 * 2) * 2
+(8 * 4) * 5 + (7 * 8 * 5 + 6 * 6)
+7 + 4 + 7 * 8 * (7 * (8 + 5 * 5 + 3 * 7) * 4 * (2 * 2 + 4 * 3)) * 2
+4 + 2 * 6 * (7 * 7 + 4 * 9 + 2) * 5
+4 * 5 + 9 * (7 + 6 + 6)
+(8 * 7 * 7 + 3) + (9 + 3 + 9) * 6 + 4
+2 * (3 + 4 + (3 + 5 * 3) * 4) * 3 + 4 * (3 * 3 + 3 + 9 + (6 * 9 + 6 + 2 + 8 * 5) + 4)
+(8 * 7) * (3 + 2 * 4 * 6 * 8 * 6) * 4 + (8 * 3 + 3 + 6) * 2
+7 * 7 * 4 + 4 * (2 * (4 * 4) + 7 * 5 + (8 + 5 * 3 * 7 * 8 * 9))
+8 * (9 * 6 + 3)
+4 + (9 + 4 + 4 * 8 + 2) * 2 + 2 * 8 + 2
+(6 + 5 + 3 + (6 * 5 + 4 + 3 * 8 * 2) + 7) + 5
+((2 * 4 * 5 * 2 * 3) + 7 + 6 * 4 + 6) + 4 * (3 + (6 + 3 + 6 * 5 * 6 * 2) * 5 + (3 * 4 * 2 * 9 + 5 * 9) + (3 * 6 * 6 + 4) * 2) + 4 * 7
+9 * ((6 * 9 * 4) + 9 * (6 * 9 * 4 * 5 * 8 * 3) + 7 + 4) * (3 * 8 + 7 * 6 * (7 + 2 + 9 + 3 * 8 + 6)) * 9
+8 * 8 + 7 + ((6 + 5 + 5 + 9) + 4 + 3 * (7 + 5 + 8) * 4) * 2 * (4 + (5 + 6) + 7)
+(4 * 8 * 9) + ((3 * 9 + 8) * 5 + 6 + 9) * 4 * 4
+5 * 2 + 6 + ((9 * 9 + 2) + (5 * 3 + 2 * 3)) + 6
+(6 + 6) * 2 + 4 * 8
+((7 * 5 * 6 + 2) + (9 + 2) + 7) * 4 + 9
+5 + (5 * 4 + (7 * 9 * 6 + 9) * 2 * 2)
+8 * (4 * 3 + (4 + 3 * 3 + 6))
+((3 * 4 + 6 * 4 + 8 * 5) + 9 * 6 + 5 + 9) + 4 + 6 + 4
+9 * 7 + (8 * 4 * (4 * 8 + 9 + 3) + 9)
+3 * (3 * 4 * 9 * 2 * 6 * 2)
+8 + 9 * 6 * 2 * (3 * 3 * 3 + 5 + 8)
+8 + 9 + 6 + ((3 * 4 + 7) * 9)
+(5 * (2 * 4 * 8 + 6) * 9 + 8 + (4 * 4 * 5)) * ((9 + 6) + 2) * 8 + 6 + 4 + 9
+(8 + 7) + 7 + (3 * 6) + 6 + 2 + 9
+(6 + 4) * 9
+2 + (2 * 4 + 7 * 3 * 2) * 7
+9 + 5 + ((6 + 7 + 5 * 7 + 3 + 4) + (7 * 9 * 7 + 6 * 5) * 2 + 6)
+7 + (4 + (3 * 7 + 9 + 6 + 5 * 2) * (5 + 3 + 5 + 5 * 2 + 7) * 6 + (8 + 7 + 9 * 6 * 3) + 2) + 6 + 6 * (5 * 8 * 5)
+2 * (9 * 9 * 8 * 8 + (3 * 3 + 3 + 7 + 2)) + ((4 * 7 * 7 + 9) * 4 + 9 + 9 + (6 + 2 + 6))
+(6 + 6 * 5 * 6 * (7 * 5 * 8 + 3 * 7 + 8) * 9) * 7 + 6 + 2 + 5 * 2
+2 + 5 + 2 * 5 * 3
+6 + 6 + (2 + 3 + 7 * 2) * 5 * (3 + (6 * 3))
+5 * 8 * 4 + (7 * 6)
+((6 * 3 * 8) + 4 + 9) + 9 + 8 + (8 + 7 * 9 + 5) * 6 + 7
+6 + 6 + (2 * 8 + 6 + 9 * (6 * 2 * 5 * 2 + 2 + 8) + 7) + (4 * 4 + 7 * 5 * 6 + 8) + 9 + 7
+9 + 3 + ((9 + 3 * 6 + 3) + 7) + 9 + 4
+9 + (8 * 9 * 6) + 6 * 6 + (6 + 7 + (3 * 4 * 3 * 7 * 3 + 9) + 3 * (3 * 2 * 6 + 2 * 4 * 3)) + 2
+4 + 9
+(9 + 8 * 6 + (8 * 7) + 7) * 8 * 6
+7 + 5 + 7 + (3 + 6 * 4 * 8 * 8)
+8 * (8 + 8) * 5 * 9 * 6 * 3
+7 + 3 + (9 * 8 * 5) + 9
+9 + 3 + (2 * 4 * 6 * 8 + 9)
+(8 + 9 + 5 * (5 * 4)) * 6 + 3 * 4 + 7 * 3
+(6 + 7) * (6 + 3)
+3 * 5 + (7 * 3 * 6 + 5 + (5 + 7))
+(9 * 6 + 7 + 5 + 9) + 4 * ((9 * 8 + 8) + 5 * 2 * (4 + 8 * 5) * 4) + 7 + (8 + 9) * 9
+(9 + 3) + 6 + 3 + 4 * 9 * (4 + 9 * 7)
+3 * 4 + 7 * 8 + (8 + 8) * (8 * 4 * 8 + 4 * 9)
+4 + ((4 * 5) + 9) * 8 * 4
+(6 * (2 * 2 * 3 + 9)) * 7
+7 * (6 + 2) + 3 * 7 * 2
+4 + 2 * 9 + (3 * (4 * 2 + 6 + 4) + (7 * 7) * 5) + 6
+3 + 9 * (4 + 3 * (7 * 9 + 8)) + ((5 * 5) + (6 + 3 + 9) + (2 + 8 * 4) + (8 + 8 + 8 * 7 + 4) * 2 + 6)
+3 * 9 + 5 * 8 + 7
+2 + 8 * 9 * ((5 + 9 * 6 + 8 + 6) * 9 + 2 * (5 + 3 * 2 * 5))
+(3 * 9 + 8 + 2 + (6 + 8 * 9 * 7 * 7 * 5) + 6) * 3 * (8 * 4) + 5 * 4 + 9
+(3 * 9 * (9 * 8 * 3 * 5 * 2 + 9) * 3) + (6 * (6 + 4 * 8 * 4 + 5) * 3 * (7 + 7))
+6 + 5 * ((5 * 8 + 8 * 4 + 3 + 9) + 8) + (6 + 2 * (4 * 3 * 3 + 2) + (7 * 5) + 8) + 2
+((2 + 7 + 8) * 6 * 4) * 8 + 5 * 8 + (3 + 4 + 8) * 8
+6 + (6 * 7 + 5) * 2 * 2 * 5
+6 * 2 + ((9 * 5 + 5) + 2)
+2 * (4 + (7 * 9 + 7 + 4 * 5) * 4 + (2 + 3 + 6 * 5)) + 7 + 7 * 7 + 5
+(2 + 6 + 7 + (3 + 9)) + ((6 + 2 + 7) + 4)
+((6 * 3 + 2 + 6) * 7 + 7 * 5 + 3 * 4) + ((5 * 6 * 7 + 9 * 2) * 6 + (2 * 7)) * ((7 + 9) + (2 * 2 + 7 + 2 * 5 * 6) * 8 + (3 * 4 * 6 * 4))
+5 + 7 * (5 + 4 + 4 * (2 + 3 * 2) + 8)
+8 + (6 * 4 * 9 * 4) * (3 * 3 + (7 + 6 + 6 * 5 * 4)) * 8 + 4
+9 * 5 + 9 + ((3 + 9 * 2) + 4 * (6 * 8 + 8 + 8 * 4 + 6) + 4)
+3 + (2 * 4 + (6 * 4 * 2 + 3 * 2) + (3 * 6 * 6 * 6) + 5) + 5 + 3 + 8 * 5
+5 * (7 + 6 * (9 * 9) + 4) + (2 + (4 + 6 * 7 * 6 + 2 * 9) * 2 * 9 + 3 * 7) + 5 * 6 * 2
+4 * 3
+5 + 9 * ((7 + 2 + 6) * 4 * 2 + 8) + 3 + (7 * 7 + (3 + 4 * 2 + 2 + 4) + 6 * 8)
+(6 * 7 * 2) * 2 + (9 + 9 + 9 + 3 + 4)
+(5 + (5 * 5) * 6 + (4 * 5 + 4 * 2 * 8) + 7 + 4) * 4 * 4 * 6 * 5 * 5
+4 + 9 + 8 + (7 * 8 * 7) + 3
+3 + 7 + ((8 + 8 + 3 * 4 * 3) * 9 + 2)
+(4 * 7 * 3 * 5 * (2 * 6)) + 7 * 6 + 8 + 4
+4 * 7 * 6 * 9 * 9 * 5
+8 + (5 * 9 * 3 + 8 * 2) * 9 + (6 * (2 * 4) + 9 + 3 + 3)
+3 + ((3 + 4 + 8 + 4 * 9) + 9 + 8 * 9 + 8) + 2
+6 + ((2 + 3) * 8 + 9 + (7 + 6 + 5 * 8)) + 8 * 8 + 8 * 4
+(9 * 5 * 6 + (6 * 3 + 6 + 5 + 2 * 2) * 3 * 9) * 3 * (2 * 6) + 2 * 6 + 9
+9 * 8 + 6 + 4 + (2 * 6)
+(8 + 6 + 7 + 3 + 7 + (8 + 6 + 3 + 7 + 3 * 7)) * 7 * (7 + 6 * 4 * (7 + 9)) * 6 + 4
+((2 * 4 * 2 * 3) + (2 * 9 * 8 + 4) * 3 + (9 + 8)) + 7
+6 + (6 + 5 * (8 + 7) * (5 + 8 * 3 + 2)) + 4 + 3 * 6
+6 + 4 + 3 + (7 * (2 + 3 * 8 + 4) + 8 * (2 * 3 * 9) + 3) + 8
+3 + (8 * (5 * 9) * 4 + (5 + 5 * 7 * 9 + 9)) * 4 * 6
+3 + ((3 * 4) + 5) * 9 * 5 + 4 * (7 * 9 * 7)
+2 + 8
+9 + 5 * 8 + (6 + 8 * 8 * 8 * 9 * 3)
+((8 * 3) + 2) + (7 + 6)
+9 * (6 + 9) + 8
+8 + 3 + 4 + (4 + 9 * 3 * 7 * 9 * 4) * 9
+(5 + 9 * 6 + 2) * (6 + 5)
+2 * 7 + (9 * 5 * 2 * 5 * 5) * 3
+6 + 4 + ((2 + 7 + 5) * (6 * 9 + 2 * 9 + 8 + 2)) + 7
+9 + 7 + 8 * 7 + ((7 * 9 + 8 + 4 * 4) * 9) * 8
+3 + (4 + 9 * 3 + 6) * 4
+((3 + 2 * 6 * 4 * 2) * 8 + (8 * 7) + 2 * 6) + 8
+((6 * 8 + 2 * 8 * 5 + 5) * 2 + 5) * (4 + 7 + 4 + 2 * 5 + 2) * 4 * (4 * 6 * 8) * 4
+3 * (5 * 5 * 5 * 5) + 5 + 8 * (2 + 4)
+8 + 9 * ((8 * 4 + 7 + 5) * 4) * 5
+5 * (7 * 3 * 8 * 6 * 8 + 6) * 9 + 2 + (3 + (4 + 7 * 9 * 4 + 5) + 3 * 8 * (9 + 8 + 8 + 4 + 2)) + 7
+5 + 9 * (4 * 7 * 7 + 7 * 5) + 8 + (4 * 3 + 3 + 2)
+5 + 9 + (8 * 6) + 7 + 7 * (6 * 5 * 3 * 3 + 9 * 5)
+9 + (6 * 7 * (3 * 4 + 6 + 8 * 7)) + (4 * (2 + 8 * 7 + 5 * 6 * 3)) * 3 * ((7 + 9 + 3 * 4 + 2) + 2 + (7 * 3 + 3 * 7 * 8 + 2) * 4 + 5) * 4
+2 + 7 * (2 + 2) * 2
+(2 + 3 + 8 + 2) + 3 + 8 * (8 + 5 + 9 + 6 + 8 * 2)
+2 * (8 * 5 + 7 + 7 * 3) + 9 + 9
+3 * (6 * 3 + 5 + 2 * (2 + 2) + 6) * (8 + (7 + 9 * 4) + 7 + 6) + 6 * 2 * 3
+7 + 4 * (4 + 2 * (8 + 6 * 7 + 3) * 5 * 8) + (8 * 8)
+(3 * 5) + ((9 + 8 + 2 + 4 * 8 + 2) * 6 * 3 + 5 + 8 + 4) + 5
+2 + 6 * (7 + 3 * 9 * 7 * 7 + 8) + 9 + 3 + 8
+((2 + 9 + 6 * 5 * 3) + 9 + (2 + 3 + 3)) + (4 * 6 + 9)
+(7 + 6) * (7 * 9 + (8 * 3 + 4 + 7) * 2 * 5) + 7 * (4 * 7 * 9 + 2 * 6 * 4) + 9
+(2 * 6) * 3 * 7 * ((3 + 9) * 9 + (4 * 4 * 6 * 5)) * 4
+7 * 6 * 5 * 8 + (9 * 4 + 4 + 5)
+(6 + 7 + 4 * 8 * (6 * 4 * 4 * 8 + 7 * 5)) + 3 + 5 * 5
+9 + 9 * 3
+5 + 4 * 5 * 4 * (6 * (7 + 5) + 7 + (8 * 7 + 3 * 5 * 2 + 2) * 7) * 9
+4 + ((7 + 8 * 8 + 2) + (2 + 4 * 8) + (7 + 9 * 4 * 2) * 2 + 7)
+4 * 5 + 9 * (7 + 2) + 8
+((5 * 5 * 3 + 2) + 5 + 6 + (7 * 5 + 7 * 4 * 6 * 6) + 4 + 5) * 5 + (4 + 8 * (8 + 3 * 6 + 7) + 4 * (4 + 6 + 4 * 8 + 7 * 7)) * (9 + 2)
+(9 * 5 * 7 * (8 * 3 * 6 * 4 + 6) + 8) + (7 * 8) * 2 * (7 + 7 + 5 + 3) * 6
+4 * (3 + 6 * 4 + 6 + 3)
+(3 * 7 + 5) + 2 * 2 * 6 * 8
+7 * (2 + 4 + 3 * 9 * 8) + 3 * (5 * 9) * 5 + 7
+5 * 7 * 8
+2 * 3 + (6 + 8 * 9) + 5 + 6
+(9 + 8 * 8) * ((9 + 9 + 8 + 9 + 7) + 3 + (3 * 6 * 3 + 9 + 8) + 7)
+((2 + 8 + 9) * 3 + 8 * 2) + 8 + 4 * 2
+(9 + 6 * 6) * 7 * 8 + ((7 + 9 * 4 * 4) + 8 + 5 * 5)
+5 + 3 + 3 * 2 + (8 + 8 * 3 + (8 * 6)) * 4
+8 + 8 * ((8 + 4) + 2 * 7 * 9) * 5
+(3 + 3 + (4 * 3 * 4 + 6) + 4 * 3 * 4) + 7 * 4 + 4
+5 + (5 + (9 * 5 + 5) * 9 * (6 * 9)) + 2 + (9 + 8 * (2 + 3 * 8 + 2 * 7) + 7 + 7 + 2)
+7 + 3 + (6 * 6 * 6)
+(3 * 4 * 6 * 4 + 5 * 8) * 2 * 5 * 6 + (5 + 3 + (3 + 2)) + (6 * (4 + 3 + 7 + 8) + 4 + 3)
+(3 * 2 * (4 + 6 * 4) * (3 + 2 + 6 + 5)) + 9
+8 * 3 * 6 + 3 + 5 + (9 * 3 * 3 + 2 * (5 * 2 + 8 * 9))
+((7 + 9 + 5 * 2) + (2 * 6 * 8 * 3 + 6) + 2 * (9 + 3 * 5 * 9 * 5 * 2) + 9) + 4 * 6
+(6 * 7) * (8 + 6 + (7 * 3 + 2)) * 7 + 6
+3 + 7 + (5 * 5) + 5 * 6
+3 * 4 * 3 + 8 * 3 + 9
+(8 * (3 + 9 * 6) * 3 * 6 * (5 * 2)) + 2 * 9 * 4
+2 * 6 + (9 * 7 + 9) * (8 + 5 * 8 + 7 * (5 + 3 * 5 * 4 * 4))
+(8 * 7 * 8 * 3 + 9 * 2) + 6 * (3 * 7 * 2)
+5 + 2 + ((2 + 3 * 3 + 7 + 7 + 9) * (6 * 4 + 4 + 3) + (6 * 6 + 8 * 2 * 9 + 9) * 4)
+(9 + 4 + 9) + 7
+2 * (9 * (3 * 7) + 9 + 7 + 2)
+(8 + 2 + 9 + (7 * 2 + 9 * 8 * 9 * 6)) + 7 + 8 + 8 * 6 + (7 + (4 * 9 + 5 + 4 + 7) + (3 * 9 + 7 * 7 * 7 * 7) + 6)
+((4 + 2 * 2 * 7 * 6 + 8) + 4 * 7) * (4 * 5 * 3) * (7 * 9 + 2 + 7 * 6 + (7 * 9 * 5)) * 2 + 5
+6 * (5 * 6 + 4) + 7 * 6 + 6 * 5
+7 + 6 + 8 * (5 * (7 * 2 * 9) * 2 + (8 + 9 * 5)) * 9
+7 + 2
+6 * (6 * 8) + 4 + (3 * 7 + 7 + 6 * 7 * 3) + 9
+((6 * 4 * 2) * 7 * 4 * 2) * 7 + 6
+2 * 4 + (7 * 9 + 2 * (9 + 9) + 2) * 8 * 9
+6 + 5 + (2 + 5 * 5 + 9 * (9 * 5 + 8 * 7 * 8) + 3) * (3 * (2 + 3 + 7 + 2 + 6 * 6)) * 4 * 5
+(8 * 4 * 8 * 5 + 7) * (3 + 9 * (9 + 9 + 9 * 8) * 9 * 8 + 2)
+4 * 3 + 3 + 9 * (3 + 9 + 7) + 5
+3 + (7 * 3 + (5 + 3 * 9)) + (4 + 4 + 2 * 7) * (6 + 2 * 2 + 7 * 6 + 8)
+4 * (4 * 8 * 8 + 8) + ((8 * 6) + 3 + 4 + 8 + (8 + 5 + 8 * 3 + 7) * (8 * 2 + 2)) * 2 * 8 + 5
+2 * 2 + 5 * 7 * ((4 + 5 * 5) + 4 * 6 + (3 + 4 * 3 + 2 + 4))
+(9 + 4) * 6 * 6 * (3 * (4 + 8 * 7 + 4) * 2 + 5 * 8 * 8) * (2 * 6 + (7 + 7 + 9 * 9 * 5) * 2)
+9 + 9 * 5 + 3 + (8 + 9 + 4 + 5) + 9
+(4 * 4 + (8 * 4 * 7 * 7 + 7)) + 7
+3 * 4 * 8 * ((3 + 2 * 2 * 7 * 2) * 7 + (7 + 2 + 6 * 9 + 4 + 2) + 9 + 5 * 4)
+(8 * (4 + 4 + 4 * 3) * (4 + 9 * 9 + 5) + 8 * 8 * 8) * (5 * 4) + 7
+(4 + 6 + 2) * 2 + 2
+9 + ((5 * 3 * 9) * 8 + 9) + 5
+3 * 2 * (2 + 5 * (2 * 5 * 3) + 3) + (5 + 9 + 8) * 5 * 7
+((4 * 4 + 8 * 4 * 5 * 5) + 3 + 3 + 5) + 8 * 3 + 3 + 9
+2 + ((4 + 9 * 2 * 8 * 4 * 4) * 9 + 2 + (6 * 3 + 9) + 8 + 3) + 9 + 2 * 5 + (9 * (6 * 7 * 7))
+2 * (9 + 4 * (7 + 3 + 3 + 4 * 6 * 5)) + 8 + 9
+(6 * 9 * 3 + 8 * 9) + 9 * 5
+6 * (8 + (8 + 3 + 9 * 4) + 6) * 2 * 9 + 6 * 7
+(8 + 6) + 8 * (9 * 2 * 2) + (4 * (3 + 3 * 5 * 9) + 3 * 4 * 7) + 3 + 5
+4 * (3 * (7 + 4 * 7) + 2 * 9 + 4 * (4 + 3 + 9 + 3)) + 2 + 3 * 9
+2 + ((5 + 9) * (6 * 8 + 6 * 8 + 9) + 3)
+((4 * 7 + 8 + 5 * 9 + 6) * 2 * (3 + 9 * 8 * 8) + (8 * 6 + 2 * 9) + 4 + (9 + 8)) + 5 + 6 * ((4 + 2 + 8 * 5 * 2 + 5) + 4 * 8) * 5 + 8
+2 + (8 * 9 * 7) + 5 + 6 + 8 * (9 + 4 + 9)
+(8 + (9 + 5 * 5 * 5 + 9 + 7) + (7 + 4 * 3 * 9 + 6)) + 4 * 5
+6 * (2 * 2) * (2 * (6 + 4) * 2 * 6 + (4 + 2 * 8 + 4 + 2 * 7) + 4) + (8 * 2 + 8 * 9) + 6
+7 * 5 * ((2 + 3 * 8 * 8 + 9) * 4 + 3 + 5 * 6) + 3 + 5
+8 * ((5 + 4 * 6) + 6 * (7 + 5 + 7 + 4 * 9) + 2 * 9 + 2) * (7 + 2 * 6 + (4 * 3) + 8 + 9) + 8 + 5
+5 * 2
+4 * 5 + 8 * 3 + (3 + 9 * 3 + (3 * 7 + 4 * 3 + 3 + 5) * 9 * 6) + 3
+(8 + 7 + 3) * 4 + 7 * ((8 * 9 + 5) * 3 * 6 * 6 + 5) + 4 * 6
+2 * 7 * 3 * (3 + 3 * 5 + (2 + 6) * 3) + ((5 * 5) * 9 * 9 + 8) + 4
+6 + 7 * (4 * (6 + 2 + 7 + 7 + 2) * 9 * (3 + 3 + 9 + 4 * 7 * 8)) * 4 * (3 + (8 * 5 + 2 * 7) + 4 + 7 * (7 + 3 * 3) + 5) + 6
+((8 * 5 * 6 + 4 * 9) + 6 + 2 + 5) * 7 + (4 * 8 * 6 * 7 + (7 * 3 * 3 * 8 + 6) * 7) * 5 + 9 + (3 * 5 * 9 + 2 + (5 + 9 * 6) + (4 + 3 * 8 + 6 * 3 + 3))
+9 + 9 * 8 + (2 * 8 + 2 * 2) + 2 * (9 * 9 * 8 + 7)
+4 + 3 + 7 * ((8 + 3) * 3 * 8 + 8)
+9 * 9 + 8 + (5 * 3) * ((3 * 8 * 5) * 4)
+5 * 7 * 5 * ((3 + 5 * 4 * 7 + 6 * 6) * 6 + 5) * 6 * 8
+6 + 2 * 9 + 6 * 2 * ((5 * 5 * 8 * 7 + 2 * 5) * 3 * 6 + 2 * (4 + 7) + (4 * 6 * 7 + 7))
+(7 * 6 + (8 + 6 * 9)) + 2
+6 + (3 + 2 * 2 + (9 * 8 * 7 * 7 + 2)) * 9
+3 + (7 + (9 + 4 * 4) * 8 * 9)
+((7 + 4 + 9) * (2 * 7 + 7 + 7 + 8) + (2 * 2 * 2 * 9)) + 9 * 6 * 2
+8 + 3 * ((4 * 8 * 5 * 5) + (8 * 9 * 8 + 7 * 9)) + (4 * 7) + 3 * 4
+3 * (7 * (6 + 3 + 9) * 3 + (4 * 3 + 8) * 9) + 3 + (4 + 2)
+((6 * 6 + 3) * 7 + 4 + 2 + 5 + 8) * 8 + (2 + 4) + 7 + 3
+(5 * 5 + 4 * 9 + 2) * 3 + 9 + 8 * 7 + 8
+(2 * 9 * (2 + 3)) + (3 * 2 + 2 + 6) + 5 * 2 * (4 + 9 * 7)
+9 * 7 * (4 * 5 + (5 + 3 * 7 + 5 + 8 * 5))
+(3 + 6 * 9 * (3 + 2 * 4 + 2 + 3)) + (5 + (8 * 4) * 7) * 5
+2 + 6 * (6 + 8 + (6 + 8 + 8 * 4 + 3 * 5) * 3 * 5)
+5 + 8 * (8 + 4 * (2 * 4) * 9 + 8)
+7 * (3 * (7 + 8 * 4 * 5 * 4 + 3) + 4 * 6 * 8 * 6) + 4
+4 * 6 + 4 * 8 + (2 + (7 + 4) + 4 * 5 * (5 + 7) + (3 + 2))
+8 * 2 * (2 + 7)
+8 * 2 * ((9 * 9 * 4) * 4 + 5 * 9 + (9 * 5 * 9 * 5)) + 3 + 6
+(6 + 2 * 5 + (4 + 2 * 7 * 4) + 6 + 2) + ((5 + 5 + 8 + 3 * 2 * 8) + 7 * 5 * 3 + 4) * 3 * 8 * (4 * 2 + 5 + 4) * 2
+5 * 6 + 3 + 4
+4 + (3 * (3 * 3 * 8 + 8 + 7))
+6 * 7 + 2 + 2 + 2 * (7 + 6 + 2 + 8 * 9 + 2)
+(5 + 7 + 5 * (7 + 4) * (2 * 8 + 9 + 8 + 4 + 2) * 4) + 5 * ((3 * 5) + 3) * 3
+8 + 2 + 5 + 8 + ((5 + 8) + 7) * 2
+5 * 9 + (6 * (3 + 9 + 3 + 7 * 5 * 2) * 4 + 2 + 3) * 8
+2 * 2 + (9 + 6 * 5 * 6 * 3) + (6 * 2 * 9)
+8 * 2 + 3 * 7
+4 + 6 * 5 + 8 * 7 + 6
+(2 + 9 * 4 * 9) + 4 * 5 + (3 + 7 * 3 * 6) * ((7 * 9 * 6) + 4 + 8 + 7 + 3) * 6
+4 * 8 + (5 + (8 + 7 + 2 + 6 * 4) + 9) + 2 + 5
+((3 + 6) * (8 * 3 * 4 + 4 + 2 * 6) + 5 + 8) + (5 * 7 + (7 + 8 + 8))
+3 + 8 * 3 + 7 + 4 * 6
+8 + (8 * 6) * 7 + 7
+((3 * 3 + 4 * 5) * 2 + 3) * 7 + (9 * 8 * 2 * 4 * 5) * 7 * 5 * 3
+3 + 9 + (6 * 9 * 2 * 7) * 3 * (9 + 6 + 2 + 8 + 7 * 7) * 5
+5 * 9 * (8 + 7 + (7 * 2 * 2) + (4 + 2 * 5 + 7)) + 6 + 9 + 9
+(8 * (7 + 2 + 9 + 8) * 6) * (4 * 6 + 4 * 4 + (2 * 6 + 9 + 7 * 5)) + 5 * (3 * 7 + 2 * (4 + 5 * 5 + 8 * 2 * 9)) * 6 + 9
+8 + 7 + ((6 * 3) + 6 + 5 * 4 + 7) + 7 + (3 + 7 + 2) + (2 * (5 * 9 * 2 * 6 + 9 + 2) * 2)
+(4 + 7 + 5 + 9 + 7) + 2 * 7 + 3 + 6 * (8 + 4 + 6 * (7 * 6 * 5 * 6))
+(8 * 9 + 3) * 9 * 6 * (5 * 6)
+9 + 8 * 9 * 2 + 8 + 7
+(5 * (4 + 5) * (8 + 8 * 8) * (6 + 6 * 4 * 7)) * 9 * (7 + 5) + 2 * 6
+9 + (6 + 3) * (5 * 8 * 3 + (4 * 2 * 7 * 6) + 2 + 9)
+8 * (3 * 8 + 6 * 4 * 9 * 2) + 8
+5 + 9 * (5 * 9 + 5 + 8) * 7 + (6 * 7 + 2 * 5) * 4
+2 + ((4 * 6 + 5 + 6 * 9) * 3 * 8 + (5 * 6 + 5 + 8) + 8 + 7)
+(7 + 3 + (8 + 2 * 2 * 6) * 3 + 7 + 5) * 8 * 7 * (2 * 8 + (8 * 8) + 9)
+9 + (8 + 6 + (2 * 8 * 9 * 8 + 2) * 7 * 2 * (7 + 7))
+2 * 2 + 8 * 9 * (9 * 9 * 3 * 2 * 3 + (9 + 9 + 9 * 6 * 3)) * (9 + 8 + 9)
+(2 * 4 * 8 * 7) * 7 + 8 * 4 * (8 + 6 * (7 + 2 * 5 * 4 + 9) + 4)
+2 * (3 * 4) * 5 * 7 + 7 + (5 + 3 + 8 * 3 * 2 + 3)
+9 + 6 + (3 * (5 * 9 + 2) * 6 * (3 * 5 + 9)) * 6
+5 * 2 + ((5 + 7 * 5 + 2) + 6 + 7 * (3 * 3 + 6 * 6) + 7 * 7)
+7 * 5 + 3 * 5
+2 * 7 * 8 + 7 * (2 * 4 * (6 * 6 + 9 * 2 + 3))
+(4 + (4 + 9 * 6 + 9 * 2 + 2) + (9 * 6 + 6 + 4 + 6)) * (3 + 9) * 8 + 2 + 8
+2 + 5 + 3 * 4 * 4 * (5 * 4 * 5)
+((2 * 9 * 6) * 5 * 9 * 2 * 9) + 9 + 5
+3 + 3 + 4 + 8 + 3
+2 + (8 * 2 + 7 + (4 + 4 + 5 + 6 + 2 * 9) + 3 * 7) + 4
+(2 * (3 * 4 * 4 + 4) + 6 * 3) + 5 + 3 * (3 + 6 + (2 + 4 * 9) * 6 + 2) + 7 * (8 * 6 + 5 * 3)
+6 * 4 + (4 * (3 + 9 + 2) + (3 * 2 * 3 + 2 * 9 * 4) * 2 * 2 + 9) * 8 + 4 * 9
+((2 + 9 * 6) + 9 * 3 + (6 + 7) * 6) + (6 * 7 + 5) * 2 + 2 + 8 + 9
+9 * 8 + 2 * 4 * ((2 + 7 + 3) + (2 + 7 * 2) * 3) * 8
+2 + 2 * 2 * 3 * (5 * 3 * 8 * 3 * (4 + 8 * 8) + 5)
+(6 + 5 * 5) + 8 * 5 + 8
+4 + 2 + 4 * 4 * 5 + ((5 * 7 + 7) * 6 + 2 * (3 * 3 * 3 + 7) + 6 + 7)
+2 + 4 * 3
+9 + 9 + (4 * (9 * 3 * 8 + 8 + 8 * 5) * 4 * 3 + 9 * (7 + 3 * 9 + 5 * 7 * 3)) * 6 + 2
+(4 + 2 + 6 + 9 + 3 * 8) * 4 + (9 + 7 * 6 * 8 + 5 * 2) * 2 + 7 * (4 * 4)
+(2 + 2) * (3 * 2 + 5 + 2 + 6) * 9
+9 + 4 + 6 * 6 + 6 * (4 * (5 * 7 + 2 + 7 + 9) * 7 + 4 * (4 * 7 + 9 + 5))
+9 * 8 + 4 * 2 + (2 * 5 * 8 * (3 * 5 + 9 + 3 * 3)) * 3
+(3 + 9) + 4 + 6 * 3 * (9 * 7 * 3 + 4 + (9 * 4) + 3) * (5 + 6 + 6)
+7 * 8 + 6 + (4 * 8 * 7 * 7 * (8 + 3 * 5 + 9 * 7 + 5)) * 4
+7 * ((7 + 7 * 9 + 8 * 8 + 2) + 6 + (2 * 7 + 9)) + 6 * 6 * 6
+(7 + 3 * 9 * (8 + 4 * 8 * 9 * 7 * 9)) + (9 * (8 + 7 * 4 * 2 * 7 * 2) * 9 * 5) + (8 * 5 + 8 + (8 + 6)) + ((5 * 5 + 2) * 7)
+8 * 3 + 3 + 7 * (3 * 5 * (3 * 3)) * (4 * 3)
+9 + 8 * 2 + 6 + ((7 * 2 * 3) * 6 + 7 * (6 * 7) + 6) + 3
+(2 * 2 * (9 * 4 * 9 + 7 * 4 * 6) + 8 * 9 + 6) * 4 + 4 + 8 * (6 * (9 + 7 * 5 + 5 * 3) + 8 * (8 * 6)) * (3 + 5 * 7 + 2 + 3)
+3 + ((4 + 9 + 5 + 8 + 9 + 3) + 6)
+5 + 3 * ((2 * 3) * 3 * 7 * 6)
+6 * ((4 + 9 * 4) * (6 * 8 * 3 * 7 + 4) * 2 + 9 + 5 + 5) * 7 + (3 + 9 * 7 + 9) + (3 * (5 * 9 + 8) * 7 + 7 + 6)
+(9 + 9 + (7 * 2 * 2 + 8 + 9) * (3 * 4) * 6) + 4
+4 * 6 + 4 + 2 * 3 + (8 * 6 * 5 + 3)
+3 * ((6 * 9 + 4 * 7) + 8 + 8 + 7 * (7 + 5 * 6 + 3 * 6 * 2)) * (9 + (5 * 8) * 6 * (8 * 2 * 2 + 2) * (2 + 5 * 4 + 4))
+8 * 6 * 6 + 8 * (8 + (6 * 4 + 7 + 3 + 5 + 2) + 9 + 4)
+(8 * (5 + 2 * 9 * 3 + 6) + 2 * 3 + 3 * 4) + 8 * (9 * 3 + (3 + 7) * 6 + 6 * 8) * 4
+9 + 5 + (8 + (8 + 2 + 4 + 6 * 8 * 7) * (9 + 4 * 6 * 4 + 6) * 7 + 3 + 7) + 4 + (3 + 5)
+5 + (9 + 9 * (4 + 7 + 2 + 9 * 7 * 6) + 3 * 9) + (9 * 4 + 3 * (4 * 9 + 4 * 3 * 4 + 2)) * (9 + 7 + 7 * 8 * 4) + 9 + ((7 + 2 * 5 + 5 + 8) * 2 * (6 + 9 * 3 + 9))
+5 + ((3 * 7 * 4 * 5 * 6) + 3 + 8 + 5 + 6) * 8 + 9
+8 + 5 + 9 * 8 * 8
+4 + (9 * (4 + 8 + 9 + 5) + 4 * 6 + 4 + 4) + (8 * (3 * 8 + 7 * 3 + 9)) + 4
+2 + 7 * (3 * 4 + 8) * 8 * (2 + 6 + 5 + 3 + (6 + 7 + 9 * 8 * 6 + 5) + 2) + 6
+(2 * (3 * 5 + 6 * 3) * 7 + (7 * 2 + 5 + 8 + 6) * 8) * ((4 + 5 * 2) + 8)
+(4 * 6 + 7 + 8 + (7 + 9 + 7 + 7 * 5 * 9) + 5) * 9 + 9 + 4
+6 + 3 + 4 + (7 + (8 + 6 * 3 + 6 + 7 + 2) + 5)
+9 + 3 + (3 + 6 * 4 + 6) * 8
+6 + 6 * (2 + 5 + 5 + (3 * 5) + (9 * 4 + 9 * 5 + 3 * 7)) + 5 + 8
+4 * (8 * 8 + 8) * 9 + 4 * 8 + (8 + 5 * (4 + 8 + 4) * 3 * 9)
+7 * ((7 + 7 * 9 + 5 * 2 * 2) * (2 * 4 + 7 * 3 + 8)) + 5 + (5 * 5) * (7 * 9 + (7 + 6 + 2 * 3 * 4 * 9)) + 5
+6 * 4 + 3 + 9 * (9 * 2) + 7
+9 + 7 * ((9 * 2 + 5 * 8 + 6) + 7)
+(5 + 3 + (5 + 4 * 4 + 9)) * (6 * 5 + (6 + 6 + 7 + 9 + 3 * 8) * 8 + 2 + 3)
+9 + 2 + 7
+6 * (7 * (3 * 5 + 9 * 8 * 3) * 4) * 2
+9 + 7 * (5 + (8 + 5))
+2 * 9 + 3
+(5 + (7 + 8) * (7 * 7 * 8 * 7 * 8 + 3) + (7 * 9 + 4 + 2 * 5)) + 6 + (2 * 5 + (3 + 2 * 2 + 9 + 3) + 5) * 8 + 9 + 7
+(5 * 3) * (5 + 4 * 5 + 6) + 2 * (2 + 5 + 8) * 6
+7 + 3 + 6 * ((3 + 3) + 8) + 5 + 7
+9 * 9 + (9 * 4 * (2 * 4 + 4 + 4 * 8 + 9) + 5)
+4 * 7 + 8 + (6 + (9 * 3) * 3 + 6) * 3 * 9
+((3 + 9 + 6 + 6) * 9 * 2 * 3 + 3) + 9 * 2 * ((2 + 2 + 3 * 7 * 2 * 4) * 8 * (6 + 8) + 9 + 4) + 8 * 2
+((4 + 8) * (7 * 3 + 2) * 9 * 9 * 5) + (5 + 4 + 7 + 4) * 6
+5 * 2 + (9 + 2 + 8 + 3) + ((6 * 7 * 8 * 6 + 5 + 6) + 2 * (5 + 9 * 7 * 8 + 6))
+4 + 7 + 3 + ((5 + 5 + 3 + 2 + 2 + 8) + (9 * 8 + 3 * 4 + 9 * 9))
+((9 * 7 * 8 + 2 + 6 * 3) * 8 * 8 + 7) + 6 * (7 * (4 + 4 * 5 + 7 * 9) + 8 + 5) * 9 + 9 + 6
+9 + 5 * 6 * 2 + (6 + 5 + (2 * 2 * 5 * 8 * 3 * 9))
+8 + 3 + (4 * 8 + 7) + ((9 + 8 + 8) * 6 * 8) + (6 + 9 * 9 * 7 * (7 + 8 + 6) * 3)
+2 * (7 * 3 + 8 * 6 + 8) * 8 * 6 * (4 + 5)
+5 * (6 + 2 * 9) + (7 + 6) + 8 * 5
+(4 * (6 + 9 + 3 + 6 + 2)) * 8 * 3 * 2
+4 * 3 * (9 + 5 * 5 + (5 + 6 * 2 + 7) + 7 + 3) * 5 * 6
+6 + 7 + (5 + 3 * 2 + 3 * 7 * 2)
+7 + (4 + 3 * 3 * 9 * 9) + 8 + 4 + 2
+((4 * 3 * 5 * 8) * 9 + 7) * 8 * 7
+3 * 8 * (5 * 6) + 2 * 5 + 9
+((8 + 2 * 4) * 7 + 8) * 8 * 6
+(3 + 4) + 5 * 4 * 9 + 7
+(7 * 4 * 3 + (5 + 6 + 2 + 4 * 7) * 5) * 5 + 2 + 8 * 6