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day18

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Dustin Swan 4 years ago
parent 5bab305b71
commit 01d387264c
3 changed files with 569 additions and 0 deletions
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90
day18.1.ml
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(* Common util. Should probably put this in a module or something.. *)
let get_one_line file =
try Some (input_line file) with
End_of_file -> None
let get_lines file =
let rec input lines =
match get_one_line file with
Some line -> input (line :: lines)
| None -> List.rev lines
in input []
let read_file file =
let channel = open_in(file) in
get_lines channel
let explode s = (* convert a string to a list of chars *)
let rec exp i l =
if i < 0 then l else exp (i - 1) (s.[i] :: l) in
exp (String.length s - 1) []
let (<<) f g x = f(g(x))
let (>>) f g x = g(f(x))
let rec take n l = (* take the first n elements *)
match n with
| 0 -> []
| n ->
match l with
| [] -> []
| x :: xs -> x :: (take (n-1) xs)
let rec drop n l = (* drop the first n elemnts *)
match n with
| 0 -> l
| n -> drop (n-1) @@ List.tl l
let c2i = String.make 1 >> int_of_string
(* --- *)
type exp = Add of exp * exp | Mul of exp * exp | Num of int
let rec string_of_exp = function
| Num x -> string_of_int x
| Mul (a, b) -> Printf.sprintf "(%s * %s)" (string_of_exp a) (string_of_exp b)
| Add (a, b) -> Printf.sprintf "(%s + %s)" (string_of_exp a) (string_of_exp b)
let print_exp = print_string << string_of_exp
let print_exps = List.iter print_exp
let rec find_matching_paren count (x::xs) =
match x with
| '(' -> if count = 0 then 0 else 1 + find_matching_paren (count-1) xs
| ')' -> 1 + find_matching_paren (count+1) xs
| n -> 1 + find_matching_paren count xs
let read_exp line =
let line' = line
|> explode
|> List.filter (fun x -> x != ' ')
|> List.rev
in
let rec go stack = function
| [] -> List.hd stack
| '+' :: xs -> Add (List.hd stack, (go (List.tl stack) xs))
| '*' :: xs -> Mul (List.hd stack, (go (List.tl stack) xs))
| ')' :: xs ->
let matching = 1 + find_matching_paren 0 xs in
let sub = take matching xs in
let rest = drop matching xs in
go ((go [] sub)::stack) rest
| '(' :: xs -> List.hd stack
| num :: xs -> go ((Num (c2i num)) :: stack) xs
in
go [] line'
let rec eval = function
| Num a -> a
| Add (a, b) -> (eval a) + (eval b)
| Mul (a, b) -> (eval a) * (eval b)
let () =
let exps = read_file "day18.txt" |> List.map read_exp in
let values = List.map eval exps in
let sum = List.fold_left (+) 0 values in
print_int sum;

106
day18.2.ml
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(* Common util. Should probably put this in a module or something.. *)
let get_one_line file =
try Some (input_line file) with
End_of_file -> None
let get_lines file =
let rec input lines =
match get_one_line file with
Some line -> input (line :: lines)
| None -> List.rev lines
in input []
let read_file file =
let channel = open_in(file) in
get_lines channel
let explode s = (* convert a string to a list of chars *)
let rec exp i l =
if i < 0 then l else exp (i - 1) (s.[i] :: l) in
exp (String.length s - 1) []
let implode l = String.of_seq (List.to_seq l)
let (<<) f g x = f(g(x))
let (>>) f g x = g(f(x))
let rec take n l = (* take the first n elements *)
match n with
| 0 -> []
| n ->
match l with
| [] -> []
| x :: xs -> x :: (take (n-1) xs)
let rec drop n l = (* drop the first n elemnts *)
match n with
| 0 -> l
| n -> drop (n-1) @@ List.tl l
let c2i = String.make 1 >> int_of_string
(* --- *)
type exp = Add of exp * exp | Mul of exp * exp | Num of int
type op = Plus | Mult
let rec string_of_exp = function
| Num x -> string_of_int x
| Mul (a, b) -> Printf.sprintf "(%s * %s)" (string_of_exp a) (string_of_exp b)
| Add (a, b) -> Printf.sprintf "(%s + %s)" (string_of_exp a) (string_of_exp b)
let print_exp = print_string << string_of_exp
let print_exps = List.iter print_exp
let string_of_op = function | Plus -> "Plus" | Mult -> "Mult"
let print_op = print_string << string_of_op
let print_ops = List.iter print_op
let rec find_matching_paren count (x::xs) = (* find matching closing paren *)
match x with
| ')' -> if count = 0 then 0 else 1 + find_matching_paren (count-1) xs
| '(' -> 1 + find_matching_paren (count+1) xs
| n -> 1 + find_matching_paren count xs
let rec run_stack exps ops =
if List.length exps = 1
then List.hd exps
else
let (l :: r :: exps') = exps in
let (op :: ops') = ops in
match op with
| Plus -> run_stack ((Add (l, r)) :: exps') ops'
| Mult -> run_stack ((Mul (l, r)) :: exps') ops'
let read_exp line =
let line' = line
|> explode
|> List.filter (fun x -> x != ' ')
in
let rec go exps ops = function
| [] -> run_stack exps ops (* end of our string *)
| '*' :: xs -> Mul (run_stack exps ops, go [] [] xs) (* "split" on Mul *)
| '+' :: xs -> go exps (Plus :: ops) xs
| '(' :: xs ->
let matching = 1 + find_matching_paren 0 xs in
let sub = take matching xs in
let rest = drop matching xs in
go ((go [] [] sub)::exps) ops rest
| ')' :: xs -> go exps ops xs
| num :: xs -> go ((Num (c2i num)) :: exps) ops xs
in
go [] [] line'
let rec eval = function
| Num a -> a
| Add (a, b) -> (eval a) + (eval b)
| Mul (a, b) -> (eval a) * (eval b)
let () =
let exps = read_file "day18.txt" |> List.map read_exp in
let values = List.map eval exps in
let sum = List.fold_left (+) 0 values in
print_int sum;

373
day18.txt
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(4 + (2 * 7) * 4) + (6 * 9 + 8 * 4 + 7 * 3) * 3 * 5
5 * 9 + (5 * 9) * (6 + 2) + 3 + 7
8 + 5 * 9 * 9 + 9 + 5
(7 + 9 * 8 + 4 * 6) + 6 * ((9 + 9 + 5 * 7 + 4) * 8 * 2 + 5 * 6 + 2) + 2 * 6
(6 * (5 + 8 * 7 * 8 + 4) * (7 + 7 * 3 * 5)) + 5 * (8 + (8 + 3 + 5 + 5) + (3 + 2 + 7 * 2 * 9) + 6 * 5 + (2 * 6)) * ((4 * 3) + 3) + 9 * (3 + 6 * 2 + 3 * 8)
2 * 9 + (6 * 2 + 6 + (9 + 6 + 8 + 5 + 5) + (8 + 7 * 4 + 3) + 8) * (4 + 4 * 2 + 6)
5 + 4 + 5 + (7 + (9 + 7 + 4 + 4 + 4 + 5) + 2 * 4) + 4 * 9
9 + (7 * 8 + (6 + 3 + 4)) + (5 * 9)
2 * 4 + 8 + (5 + 8) * 9 * (9 + (5 + 3) + 3)
8 * 6 * 5 + 8 + (8 * (2 + 8 * 7 * 5 + 3 + 5)) * 2
6 * ((3 + 4 * 3 * 7 * 8) * 8 + (9 + 5 + 2 * 3) * 3 * 2) + 7 + 8 * 8 + 4
9 + 3 + 7 * 8
(9 + (4 + 9 + 3 + 5 * 5 + 5) * 5 + 9 * 6) * 3 * 2 * 6 * 5
7 * 9 * 6
(5 + 2 * 8) * 8 + 3 + 8
9 * 5 * (5 + (5 * 4 + 8 + 6 * 5) * (9 * 7 + 5)) * 3 * 9
(6 * (8 * 3 * 7 + 2) * (3 + 9 + 5 + 5) + 3) + 7 * 3
7 + 9 + (4 + 9 * (4 * 6 + 3 * 8 * 5) + 8 + 9 + 3) + 6 * (6 + 8 + 7 * 9 * 6 + 6) + 7
2 * (5 * 5 + 6 + (5 + 5 * 5 + 6)) * 4 + 5 + 2
8 + 2 * (8 * 7 * 4 + 8) * 9
9 + 5 * (4 * 8 + 9 * 6 + (3 * 3) + 2) + 5 + (4 * 5 + 2 * 2)
(5 * 7 + 2) + 3 + 9
7 * 9 + 8
3 * 7 * (7 + 5 + 8 * 5 * 8)
(7 + (3 * 6 + 6 * 9 + 2) * 8 * 6 + 6 + 2) * 6
4 * (7 * 5 * (6 + 8) * 7 * (5 * 3 * 2 * 9 + 2 * 4) * 6) * 2 + 2 * 5
((3 * 3 * 9 + 8) + 2 + 5 + 8) + 6 * (6 + 9 * 2) + 7 * 9 * ((9 + 4 + 4) * 4 + 4 + 9)
7 * (4 * 2 + 3 + 7 + 5) * (8 + 2 + (5 * 9) * 2 + 3 * 5)
7 + (8 + 3 + 8 * 4 * 2 * 2) + 7 * 2 + ((3 + 5 * 3 + 5) * 8 + 3) + 8
7 + 2 + 9 * 9 + 5
((6 + 4 + 2) * 2 + 9) + 3 * 6 * (6 + 4 + 9 + 2 + 6) * 9
6 + 6 * (9 * 9 + 6 + 6) + 2 * 6
2 + 5 * ((4 * 4) * 6) + (3 * 3 + 2) * 9 + 5
9 * 4 + 8 * 5 * ((6 * 5 * 4) + (3 + 8 * 7 + 6 * 7) * (6 * 6 + 7) * 8 + 4 + 7)
3 * 8 + (4 + (7 * 7 + 9 * 8 * 6 + 7) * (8 * 4 + 4 * 6 * 4 + 4) + 2 * 9)
3 + 6 * 2 * 3 * (4 + 7 + (3 * 6 + 7 * 8) * 7 + 9 * 8)
2 + 8 + (5 * 4 * 2 * 5 + 5) * 4 + 3 * 4
6 + 4 + (5 + 5)
6 * 3 + 8 + (8 + 2 + 9 * 3) * ((6 * 8 + 6) + 6 + (7 * 4 * 3) * 4 + 9 + 3)
((9 + 7 + 9 + 2 * 7 * 7) + 8 * 6) + 2 + 7
6 * (6 + 9 * 2 + 4 * 7 + 8) + 5 * 9
((2 + 5 + 6 * 3) + 7 + (7 * 6 * 8 * 3 + 8 * 3)) + (8 * 6 * 8 * 9 * 5)
6 * 7 * 5 + 5 * (2 * 9) * 4
(8 * 7) * (2 * (7 + 3) + 3) + 8
(7 * 9 + 7 + 7 + 7 + 7) + (7 * 5 * 8 + 4 * 5) + 6
5 * (6 * 7 * 8 * 5) * 6
5 * (2 + (6 * 7) * 8 * 3 + 6 * 2) + 2 * 4 + 8 + 3
3 * 5 + 6 + 6
((9 * 9) * 6) + (4 + 9 * 6 + 4 * 9 + 7)
(3 + 9 + 2) * (3 * 7 * 7 * 7 * (8 * 8 * 4 + 3 + 8)) + 2
6 * 6 + 8
((9 + 5 + 8) + 9) + 7 + ((9 * 5) * 3 * (3 * 4 * 4 + 3) * 7) + ((5 + 6 + 2) * (7 * 2 * 9 * 8) * 5)
6 + (8 * 7 * 6 + 5) + 9 * 7 * 7 * 7
2 + (4 * 9 * 3 * 9 + 8) + 2 * 7 * 3 + 4
7 + 3 + (5 + 7 * (4 + 4 * 8) + 2 + 8 * 6) * 2
(2 * 5 * (4 * 7) * 9 * (3 + 7)) + 3 * 4 * (2 * 3 * 8 * 4) * ((6 + 2 * 2) + (6 * 5 * 7 * 6) + 9 * (8 + 4))
((9 + 3 + 5) + 8) * 2
2 + 4 + 7 + 5 * (6 * 7 + 8 * (4 * 3 + 6 * 4 + 7) * (7 + 3 + 7 + 3 * 2) + 8)
5 + (9 * 8 + 5)
(2 + (9 + 7 * 8) + (6 + 7) + 6) * 5 + 3 * 2
7 + (9 + (8 * 7 * 9)) * 8 + 3
9 * (9 + 4 * 2 * 3 + (6 + 7 * 8 + 9)) + 6 * ((7 * 4 + 7 * 4) + 2 * 6 * 5 + 6 * 6)
((3 * 3 + 4 * 9) + 7 + 7 + 3) * 8
9 + 8 * (2 + 6 + 8 * 6 + 3 + (8 * 6 * 6 * 4 * 6))
3 * (9 + 2 * (9 + 2 * 8) + 3 + 8 * 5) + (9 + 8 + (6 * 9 + 2 + 8 * 5 + 7) * 7) * 2
((2 + 9) + 3) * 6 * 2 * 2 * 4 + 7
2 * 3 + 4 + (7 + (7 * 5 * 5 + 5) * 9 + (3 + 3 * 5) + 3 * 8)
4 * (8 + 2 + (3 * 7 + 4 + 2 * 6 + 2) * 8 + 7)
4 + (5 * 9 * (8 + 3 * 9 + 9 + 5) * (3 * 8 + 9 * 8)) * 8 + 9
4 * 5 * (2 + 2 + 7 + (3 * 7 * 4 * 2) + 3) * 6
((8 * 8 * 4 + 4 + 5) + 6) + 9 * (3 * 3) * 4
9 * (8 + (6 + 2 * 7 + 3 + 8 * 8) * 3 * (9 + 3) * (3 + 7 * 3) + 5)
9 * 3
6 * (7 + 8 * 8 * 4) * 6 * 9 + (4 * 7) * 4
4 * (3 * (4 * 9 * 6) + 5 + 5) * 4 * 6 * 6 * ((9 + 3 * 6 + 5 + 8) + 4)
5 * 2 * (4 * 3 + (8 * 4 + 2 + 2) * 6 * (8 * 8 * 2 + 7 + 9) + 3) * 5 + (4 + 6)
3 + (5 + 6 * 5 * 9) * 9 + 7
((3 + 6 + 8) * 7 * 3 + 4 + 4 * 8) * 2 * 2
2 + ((9 + 9 * 4 + 2 + 3) * 4 + 9 + 5 + (7 + 3 * 9)) + 8 + 7 * 3
5 * 5 * (5 * 6 * 6 + (3 + 4 * 8 + 7) * 2) * 6 + 4 + 3
4 + 3 * (5 + (6 * 5 + 6 * 2) * 4) + 9 + 7 * (5 * 5 + 9 * 5)
2 + (6 * 7) + 7 + 3 * 7
5 * 7 * (6 + (9 * 5)) * 4 + 2
((7 * 7 * 3) + 2 + 2 + (9 + 8 + 3)) * (3 * 8 + 6) + ((6 + 2 * 6) * (2 * 4 + 3 + 8 + 2)) * 8
((8 + 3 + 8 + 5 + 8 * 3) * 2 + 4 * (6 + 4)) * 8 * 2 * 5 + 9
7 + 6 * 3 + 3 + (5 * 7 + 3 + 3 + 8) * 6
8 + 7 + ((5 * 9 * 3 + 3 + 4 + 6) + (6 * 6 + 2 + 6) + 8)
5 + 5
6 + (6 * 5 * 7 + 8)
(8 + (9 + 2 + 8 + 2 + 2) * 4 + 7 * 6) * 9 * 6 * (6 * 6 * 5 + 5 * 4) + 7 + 9
3 + 8 + (3 + (6 * 9 + 9 * 2 * 3 * 4) * 3 + 9 * (4 * 2) + (3 * 2 * 9 + 2))
(5 * 8 + 7 * 8 + (2 + 3 * 8) * (8 + 4 * 7)) * 3
8 + 2 * (2 + (6 * 6 + 9 * 3 + 6) + (9 * 2 * 4) + 6 * 4 * (6 * 3 + 2 + 6 + 3 + 5)) + 8 + 4 * 9
8 + 8 + (4 * 9 + 9)
5 + 5 * (5 + 8 + (3 * 9 * 9 + 8 + 8 * 2) * 5) * (8 + 7 + 7 + 8 + (2 + 7 * 4 * 8))
6 * 3 + 6 + ((9 * 5 * 4 + 6 + 5 + 5) * 6) * 2 + (6 * 5 + 5 * 7 * 8 * (3 + 7 * 7 * 9))
4 + (3 + 4 + 5 * (4 * 2 + 7 * 9 + 6 + 6)) + (7 + 7)
2 * (6 + 2 + 6 * 3 + 4) + (6 + 5 * 4 * 8 + 3 + 7) + 8 + 3 * 5
((5 + 3 + 7 * 2 + 9 * 5) + 7 * 7 * (4 + 7 + 9) + 8 + 6) + 3
((9 * 9 + 2 * 7 * 5 * 6) + 8 * 7 * 4 * 2 + 6) * 5 * 9
((3 * 3 * 2 + 5 + 6) * 7 + (3 * 6 * 2) * 3 + 3) + 9 * 7 + 5
(7 + (4 + 7 + 6 * 8 + 9 * 9) + 7 * 2 * 2) * 7
(9 * 3 * 9) + ((2 * 6 * 6 + 9 * 7) * 3) + 3 + 8 + 8
2 + (3 * 5) * (2 + 8 + 8 * 3 * 6 + 6) * 6 * 9
(4 * 7 * 7 + 3 + 4) * 3 * 9 + 6 * (2 + 5 * 4)
(8 * 4 + 3 * 8) * 4 * 5
(7 + 5 + (4 + 2) + 4) + (2 * 5 * 9 * 2 * 6)
9 * 4 + 3 + 8 * (2 * 4 + 7 * 2 * 2) * (2 + 6 + 5 + 9 + 5)
8 + 3 * (6 * 8) + (2 * 4 + 7 * 8)
(9 + 6 + 3) * 5 + (9 * 8) * 5 + 6 * 5
((6 * 2 + 6 * 2) + 3 + 7 + 5 * 8) * 2 + 2
2 + (9 * 3 * 9) * (4 + (6 + 4 + 7) + 5) + 9
(3 + 4) + 5 + 7 + 7
9 + 8 + 8 + 7 + 5 + ((2 + 7 * 9 * 7 * 6 * 9) * 8 * 8 + 7 * 3 + 9)
(8 * 7 * (8 * 7)) * 9 + (4 * (4 + 9) * (7 * 9 + 9 + 6 * 5 + 5) + 7)
(6 + 7 * 9 + 5 + 5) * 5 * (2 + 6 + (3 * 6) + (7 + 3 + 5 * 5) + 9)
2 + ((7 + 8 * 2 + 8) * 4 + 2) * 9 * 9 + 8
8 * 8 * 7 * 2 + 2
7 * 2 + 9 + ((5 * 2 + 6 * 9 + 8 + 7) + 6 * 2 + 8 + 4 * (3 * 2 * 3 * 2))
5 * (7 * 5 + (7 * 9) * 4 * 6 * (8 + 7 + 3 + 9 + 9)) * 4
8 * ((3 + 7 + 5) + 7) + 5 + (6 + 4 + 6 + 4 * 4) + ((2 * 6) * 3) + 9
3 * 3
4 * (5 + 5 + 6 + 2 + 7) + 7 * 6
(7 + 4 + 5 * 9 + 5 + 8) * 8 * (7 * 9 * 9) + 4
3 + (9 * (7 * 7 + 3 * 4 + 8 + 5) * 7 * (2 * 4) + 9 + 5) * (4 + 7)
6 * (5 * (6 * 2) + 6 + (4 * 8 + 9) + 3 * (2 * 4 + 4)) * 6 * 5 + 6 + 3
(9 * 3 * 9) * 8 * 5 * (8 + 3 + 2 + 9)
(8 + 8 * (8 * 9) + 2 + 7) + 8 * (5 * 7 + 6 + 2 * 4 * 2) + 6 * (3 * 8 + 6) * 2
2 * (8 * 5 + 7) * 8 + 7 * 9
4 * 4 * (5 + (5 * 4 + 2 * 9 + 5 + 7)) * 8 * ((4 * 9 + 4) + 6 * (7 + 2 + 4 * 8 * 9))
4 * 6 + (4 * 8 * 3 * (9 + 8) * 7 * 9)
(6 + 9 + 3 * 2 + 8 * 8) * 6
(8 + (3 + 3 + 2 * 3) + (6 + 7 * 6) + 7 * 4 + (9 * 5 * 4 * 6 + 2)) * 2 + 5
4 * 6 + 2 * 5 * 2 + (5 + 3 + 2 + (5 * 3 * 3 + 7 * 6 + 2) + 8)
9 + 2 + (7 * 7 + 7 + 9)
5 + 8 + (8 + (5 + 9 + 6 * 2 * 4 * 4)) * 9
(2 + 4 + 8 + 7 * 8 * 5) + 3 + 3 + (9 + 9 + (9 * 2 + 6 + 4 + 4) + 6 * 2) + 2
7 + (6 + 5 * 2 * 9 + 7 + (9 + 7)) * (3 + 6 + 2 * 5 * 3)
8 + (9 + (4 * 3 * 7 * 7) * 7) + 9 * 6
6 * 9 * ((8 + 5) + 9) * 7 * 8
(2 * 9 + 2) + (6 * 3 * 3 + 6 * 7 + 9)
7 * 5 * (4 * 4 + 7 * 4 + 8 + 3)
3 * (6 + (5 + 3) + 5) * 3
(7 * (9 * 5 * 9 + 2 + 4) + 3 * 8 + (9 + 7) + (2 * 9 + 5)) * (6 + 3 * 9 + 3 + (7 + 4 * 9 + 5) + 9) * (8 * 2 + (2 * 9 + 7 + 5 * 4) * 4)
4 + 7 + 5 + 6 * 8
5 + 4 + 3
9 * (6 * 2 + 7 + 5) * 3 * 2 * 2
7 * 4 + ((6 * 7 * 6 * 8 + 6 * 9) * 7 * 3) + 8
9 * 5 + 4 + 8 + 8 * 8
(3 + 6) * 2 * 7 * (2 * 7 + 2 + 6 + 3)
5 * 2 + 8 * 7 + (4 + 8 + (3 * 6 + 7 * 2 + 4 + 7))
6 + (8 + 6 * (9 * 7 + 2 + 2 + 3 + 4) * (4 * 7 + 2 + 4 * 3) * 3)
(8 + 5 * 2) * (9 * 4) + 5
3 * (4 * 5 * (4 + 3 + 4) + 5 * (3 + 6 + 3 * 7 * 7)) * 3
2 + 7 + (8 + 3) + 8
8 * (9 * 8 * 3) + 4
(2 * 6) * 3
((9 * 6 + 3 + 3 * 9 + 7) + 2 * (2 + 9 * 8 + 2 * 4) + 9 * 8 + 6) + (5 * 9 * (2 + 7) + 7 * 9) + 7
4 + 7 * ((3 * 7 + 2) * 9 * 7 * 2 + 4 + 3) * 4 * (3 + 8 * 9) + 6
9 * (9 + (9 * 6 + 2 * 7 + 6) + 7 * 2 + 2)
(9 * 2 + 4 + 8 + 6 * 8) * (4 + 8 + 7) * 5 + (4 * 2 + 2) * ((4 * 5) * 8) * 2
(5 * 9 + 9 + 2) * 3 + ((7 * 5 + 9 * 3) + 2 + 3 + 6 + 7) + 4 * 6 * 6
9 * 8 + 3 * 4 * (9 + 5 + 7 + 5) * (6 * (7 + 4 * 6 * 7) + 6 * (6 * 5 * 3 + 9 + 4) + (2 * 3 + 3 + 6))
7 * 6 * 2 + (8 * 9 + (6 * 7 * 8 + 6 + 9 * 8) * 3 + 6)
5 + 7 * 8 + 2 + ((2 + 4) * 7)
2 * 5 + 6 * 6 * (3 * 6)
6 * 6 * 6 * (6 * (4 * 4 + 5) * 4 + 3 + 9) + 4
((3 * 4 * 7) * 5 * 9 + 7 * 6 + 5) + 2 * 2 * 6 + 4 * 8
7 * 2 * (3 + (6 * 9 * 9) * 4) * (5 * 8 * 7 * 6 + 2 * 9) * 7
9 + (6 + 6 + (8 + 8 * 3 + 6 + 6))
5 * 2 + 7 + 3 * (9 + 9 * 9 * 9 * (4 * 4)) * 2
4 + 6 + 3 + (2 + 2 * 7 * 2) + 5 + 7
7 * 9 * 9 * 2 * 4 + 7
6 + (6 + 5 + 5) + 7 + 4
9 + (9 * (7 * 3 + 9 + 7 + 8 * 8) * 6 * 5) + 2 * 5
8 + 6 * 8
8 * (9 * 6 + 4 + 8 + 8)
((8 + 3) + 8 * 2) + (3 * 6 * 7 + 7 + 4 + 2) * 9 * 5
6 * (4 * 5 + 6 * 7 * 4) + (2 * 8 + 4 + 7 + 7 + 6) + 9 + 5
9 * 8 * (2 + 7 + 9 + 4 + 5) + (8 * (3 * 8 + 3 * 6)) + ((7 * 2) * 7) + 2
9 + 4 + 9 * 2 * (5 * 2 + 6 + (9 * 5 + 8 + 2 * 5) + 6 + 6) + 7
9 + 9 * ((3 * 6) + (5 + 5 + 7 * 9 * 4 + 9) + 2 * 6 * 6) * 5
(9 * (3 * 2) + 8 * 2) * (6 * (8 + 3 * 8 + 5 * 5 * 9) + 4 + 9 * 6) * 5 + 9 * 6
7 * 9 * (2 * 9 + 4 * (3 * 2 * 6 * 9 + 5 + 6) + 2) + 7 * 6 + 3
9 + (5 * (3 * 9) + 4 * 6 + 6) + 9 + 8 * 5
8 + 8 * 8 + (9 + 4 * (5 + 3 * 8 * 3 * 4 * 4) + 2 * 8 * (9 * 6 * 4 * 6 + 9))
(6 + 6 * 3 + (5 + 8 * 4 + 4) + 3) * (3 + 7) * (6 + 5 * 4 * 6 + 6 + (5 * 7))
(9 + 7 + 6 + (8 * 8) * 4 * 6) + 3 * 5
5 * 2 * 3 + (3 + (6 + 9 * 2) * 3 * 3)
2 + (8 * 7 * (4 * 8 * 2 + 6 * 7)) * 5 + 5 + (8 * 5)
9 * 6 * 4 * 2 * ((6 * 3 + 9 * 8) * 5) * 3
((8 + 6) + 6 * (8 * 5 * 5 * 7) + (2 + 9 + 6 * 7) * 7 * (2 + 9 * 7 * 3)) * ((7 * 5 + 2 * 5) + (8 * 7))
(7 + 8) * 6 * 9 + 6 + 6 * 8
7 * 8 + (8 * 2) * 7 * 8 * 9
9 * ((8 + 6 * 9 + 2 + 3 * 2) * 2 + 4 + 3 + 7) * 2 * 6
2 + (8 + (2 + 9) * 7 * 4 + (8 * 6 + 8 * 6 * 4 + 5) + 6) + 4 * (9 + (3 + 4) * (3 * 9 * 7 * 6 + 9 + 7) + 9 * 6 * 3)
2 + (8 + (8 * 2 + 3 * 8 * 4 + 2)) + 3 * 6
(5 * 5 + (3 + 5 * 6 * 9 + 4 * 4)) * 8 * (7 * 7 + 3 * 7)
9 + 6 * (9 * 2 + 2 * (9 + 6 * 8 + 5 + 3))
5 * 5 + 5 * (7 * 3 * 3 * 5) + 6
7 * 5 * 7 * ((6 * 3 + 5 * 8 * 6) * 7 + 4 * 5) + 7
(5 * 4 + 8) * 3 + 6 + 9 + 6
(7 + 7 + 4 + 8) * (2 * 7 + 9) * 2 * 4
2 + ((7 + 2 + 9 * 4 + 2) * 6 + 9)
9 + 2 + (7 + 6 + 4) * 3 * 8
5 + 7 * 2 + 2 * (3 * 4 + 4 * 6) + 2
2 + (7 + 2 + (9 * 3 * 5 + 7 + 7) + 5 * (7 + 7 * 2 * 4 * 7 * 4) + 5) * (6 + 2 * 5 + (4 * 6 + 4 * 8 * 4) + 7) * 2 * 5
((5 * 9) * 9) * 2 + 4 + ((3 + 6) + (9 + 3 + 6 + 3) * 3 * 5 + (9 + 9 + 6 * 7) + 7) * 2 + 9
4 + (4 + 4 + 6) + 6 + 5 * 9 + 8
(3 * 8 * (7 * 5 * 7 * 5 * 7 + 2)) * 7 * 4 + 3 + 2 + 4
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