aboutsummaryrefslogtreecommitdiff
path: root/2020/18-Operation_Order
diff options
context:
space:
mode:
Diffstat (limited to '2020/18-Operation_Order')
-rw-r--r--2020/18-Operation_Order/example2
-rw-r--r--2020/18-Operation_Order/first.hs80
-rw-r--r--2020/18-Operation_Order/input381
3 files changed, 463 insertions, 0 deletions
diff --git a/2020/18-Operation_Order/example b/2020/18-Operation_Order/example
new file mode 100644
index 0000000..29b7b33
--- /dev/null
+++ b/2020/18-Operation_Order/example
@@ -0,0 +1,2 @@
+1 + 2 * 3 + 4 * 5 + 6
+1 + (2 * 3) + (4 * (5 + 6))
diff --git a/2020/18-Operation_Order/first.hs b/2020/18-Operation_Order/first.hs
new file mode 100644
index 0000000..d09ecf0
--- /dev/null
+++ b/2020/18-Operation_Order/first.hs
@@ -0,0 +1,80 @@
+-- requires cabal install --lib megaparsec parser-combinators
+module Main (main) where
+import Control.Monad (void, when)
+import Data.Either
+import Data.Void (Void)
+import Text.Megaparsec
+import Text.Megaparsec.Char
+import System.Exit (die)
+
+exampleExpectedOutput = 71 + 51
+
+data Operation = Add | Mul deriving (Eq, Show)
+data Chain = Chain [Either Int Chain] [Operation] deriving Show
+type Input = [Chain]
+
+type Parser = Parsec Void String
+
+parseInt :: Parser Int
+parseInt = do
+ n <- some digitChar
+ void $ optional (char ' ')
+ return $ read n
+
+parseOp :: Parser Operation
+parseOp = do
+ op <- (char '+' *> return Add) <|> (char '*' *> return Mul)
+ void $ char ' '
+ return op
+
+parseParenthesis :: Parser Chain
+parseParenthesis = do
+ void $ char '('
+ a <- parseChain
+ void $ char ')'
+ void $ optional (char ' ')
+ return $ a
+
+parseChain :: Parser Chain
+parseChain = do
+ a <- ((Left <$> parseInt) <|> (Right <$> parseParenthesis))
+ next <- (Just <$> parseOp) <|> (return Nothing)
+ case next of
+ Nothing -> return $ Chain [a] []
+ Just op -> do
+ Chain elems ops <- parseChain
+ return $ Chain (a:elems) (op:ops)
+
+parseInput' :: Parser Input
+parseInput' = do
+ input <- some (parseChain <* void (optional (char '\n')))
+ void eof
+ return $ input
+
+parseInput :: String -> IO Input
+parseInput filename = do
+ input <- readFile filename
+ case runParser parseInput' filename input of
+ Left bundle -> die $ errorBundlePretty bundle
+ Right input' -> return input'
+
+compute' :: Chain -> Int
+compute' (Chain [Left x] []) = x
+compute' (Chain [Right x] []) = compute' x
+compute' (Chain (x:y:xs) (op:ops))
+ | op == Add = compute' $ Chain (Left (cx+cy):xs) ops
+ | op == Mul = compute' $ Chain (Left (cx*cy):xs) ops
+ where
+ cx = if isLeft x then fromLeft 0 x else compute' (fromRight (Chain [] []) x)
+ cy = if isLeft y then fromLeft 0 y else compute' (fromRight (Chain [] []) y)
+
+compute :: Input -> Int
+compute input = sum $ map compute' input
+
+main :: IO ()
+main = do
+ example <- parseInput "example"
+ let exampleOutput = compute example
+ when (exampleOutput /= exampleExpectedOutput) (die $ "example failed: got " ++ show exampleOutput ++ " instead of " ++ show exampleExpectedOutput)
+ input <- parseInput "input"
+ print $ compute input
diff --git a/2020/18-Operation_Order/input b/2020/18-Operation_Order/input
new file mode 100644
index 0000000..da39d13
--- /dev/null
+++ b/2020/18-Operation_Order/input
@@ -0,0 +1,381 @@
+(7 * (7 * 6 * 4 + 3)) * 3 + ((8 + 5 * 3 + 7 + 8) + 3 * (2 + 9 * 5 + 7 * 5 * 6) * 2 + 3 * 9) + (4 + 5 + 5 * 2 + 2) + ((5 + 6 + 9 + 6) + 3 + 4 * 6 * 5)
+7 * 5
+(9 * (9 + 7) * 7 + (4 + 5 * 5 + 2 + 3) + 3) * 7 * 5 + 8 + (4 + (7 + 9 + 6 * 9) * 2)
+((6 + 4) * 6 * (5 + 3) * 9 * (3 * 5 * 5 * 9 * 4 + 9) * 4) * 2 * 8 + 9
+7 * 7 + (9 + 2 * 9 + 9)
+9 + (7 * 7 * 5 * 9 * 7) * 2 + 3 * 3
+5 * (5 * (8 * 4) * 7 + 8 + 7) * (5 * (4 * 3 * 5 + 2 * 5) + (6 * 6 * 7 * 2 + 2) + 4) + (5 + 4 * 7 + 5 * 9 + 9) * 2
+((7 + 3 + 8) + (2 + 6 * 4 * 5)) + 8
+8 * (6 * 7 + 3 * (8 * 5 * 2 * 4)) * (3 + (5 + 5 + 6) * (4 * 3 + 7 * 5 + 7) + (3 * 5 * 9 * 3)) + 8
+6 + 4 + 8 + 4 * ((3 + 5 * 8) + 7 * 7 * 8 * 7 * 2)
+3 * (9 + 4) * (9 + 2 + 6 + 5) + 4 * (7 * 2) + 6
+4 * 6 + (8 + 3) + 7
+2 + (8 * (5 + 6 * 5) + 9 * 7 + (7 * 7)) + 5 + 5
+(8 + (5 * 7 * 3 + 6) + 8) * 8 + 6
+8 * 6 * 6
+8 * 6 + (9 + 4 * 5 * 3) * 9 * (4 * 2 + 6 + 7 + 4 * 8)
+(5 * 9 * 8 * 9 * 6) * 8
+7 * 5 + ((2 * 7 * 5 + 2 + 6 + 3) * 9) * 5 + ((2 * 2 * 4 + 3) * 5)
+(2 + 3 * 4 * (2 + 4 * 9 + 8) * 8) + 6 + 8 + 7 * 2
+3 + 7 + (3 * 4 * (8 * 6 + 8 * 8 * 2 + 9)) * 4
+9 * 9 + 9 + (3 * 7 * 9 * 4)
+(7 * 7 + (2 * 5 * 8) * 4) * 9 + (9 + 4 * 8 * (9 + 3 * 5 * 4 * 7 * 4)) + 3 * 3
+7 + 6 + 3 * 8 * 4 * (9 * 4 * (5 + 7 * 2 * 8 + 7 * 8))
+(7 + 2) * 5 * 8 + 6 * 2
+9 + 4 + (5 + (7 * 7 * 9 + 5) + 6 * 5 + 2 * (4 * 7 * 7 + 8 * 5 * 5)) * 2 + 2
+8 + 2 * 2 * (2 + (2 + 7 + 7 * 7 * 3) + 7)
+3 + 4 * (3 + 3 * 3 + 4) * 9 * 6 + 8
+((4 + 4 + 6) + (5 * 5 + 4 * 9 * 5) + 5) + 2 * 2
+9 * 5 * 6 * 2 + 6 + (2 * 9 + (2 * 3 + 4))
+(3 * 9) + 2 * (2 * 5 + 7 + 9 * 7 * 6) + 5 * 5 * 2
+7 + 3 + 5 * 6
+7 + 5 + (2 * 8 + (6 * 6) + 6) + (4 + 7)
+2 * (9 + 5 * 3 + 5 + 5 + 4) * (3 + 4 + 3 + 5 + 2 + 7) + 2 * 2
+(4 * 5 + 6 * 3 + (5 * 3)) * 5 + 5
+9 + 8 + 7 * (7 + 9 + 2 * 2 + 7) * 7
+3 * 3 * ((4 + 3 * 4 * 2 * 2 * 6) * (9 + 6) * 3) * 5
+9 + 6 + 7 + 6
+8 * (4 * 8 * 8 * 7 + 4 + 9)
+2 + (7 * 9 * 2) + 6 * 6 * 4 * 6
+((4 * 6 + 7 + 9 * 4) + 9) * 4 * ((6 * 3 + 3 + 9 * 7) * 8 * 4 * 5 * (2 * 6 * 8 * 5 + 5 * 3)) * 7
+(4 * 7) + 5
+6 + 9 * 6 + 9 + ((5 + 7 * 5 * 8) + 7 + 7 + 8 * (2 + 8 * 2 * 4 * 7 + 9) * 7)
+6 + 3 + (9 + 6 * (4 + 7 + 4 * 6 * 7)) + 6
+5 * 7 * (4 * 6 * (3 + 8 + 6 * 8)) + 8
+(5 * 6) * 8 + 2 * 3 + (7 + 4 + 3)
+3 + 4 * 9 * 2 + (7 + (5 * 9 * 7 + 7 * 4) * 4) + 3
+2 * 9 + ((3 + 5 + 2 + 9 * 9 + 6) + 4 + (6 * 4) + 2) + 3
+3 + 6 + (3 + 6 + 8 + 2 + 2)
+8 * ((8 * 6) + (7 + 2 * 2 * 2 + 4 * 3) * (9 + 8 + 4 * 8) + 8 * 4) + 2
+9 + 4 * (7 * (2 * 4 + 9 * 3 + 7) * 8 + (4 * 3 * 9 + 9 * 5 + 7) + 9 * (6 * 4 * 2)) + ((5 + 6 + 7 * 9 * 6 + 6) + (6 * 2 + 8 + 9 + 4 + 4) + (8 * 5 * 2 + 6 + 7) * 5 + 3) * 9 * 8
+9 + 2 + (5 + 3 * 2 * (7 + 4 * 5 * 5 + 3 * 7) * 8 * (5 * 6))
+7 * (3 + 3 + 7 * 7 * 9) + (2 + 5 * 6 * 4)
+9 + 8 + 9
+8 * (7 + (5 * 7) + (7 + 3) * 2 + 7) + 4 * 3
+2 * (2 * 6 + 5 * 7) * 2 + (3 + 3) * ((2 * 3 + 2) + (5 * 3 * 4 + 8 * 2))
+4 * (3 + 7 + 6 + 8 + 3 + 6) + 8 + (2 * 3 * (5 * 2 + 6 + 5 * 8))
+2 + 5 + 3 + 2 + 4 + (2 + (6 + 4) + 5)
+2 * (4 * 4) + (5 + 2 * (4 + 2 * 2 + 4) * 4 + (5 * 9 * 9) + 2)
+(6 + 9 + (3 + 5 * 3) + 4 * 2 * 2) + 7 + ((6 * 6 + 4 * 5 * 5 + 4) + 5) + ((8 + 4 + 9 * 8 * 9 + 2) + (7 + 2 + 9) + 4) + 5
+7 * 3 + (6 + (8 * 5) * 6 * 8) * 2 * 9 * 4
+9 + 9 + 9 + 2
+(7 * 9 * 2 + 8 * 7 * 4) + 9 + (9 * 6 * 9 + 7) * 3 * (9 * 5 * 5)
+4 * 7 * ((7 + 9 * 5 * 4 + 7 * 4) + (2 + 3 + 5 * 4 + 2) + (2 + 5 * 8 * 5 * 5 + 6)) * 6
+5 + 8 * (9 + (9 + 3 + 9 + 5 + 5))
+(3 * 7 * 2 * 3 + (8 + 8 + 3 * 9)) + 8 + 8 * 6 + 8 + 6
+9 + 4 + 8 * (7 * 8 + 8 + 4 * 8)
+2 * 9 + 2 * (5 + 3) * 2 * (5 * 5 * 8 + (3 + 4 + 4 + 5) + 4 * 4)
+5 * 7 + 2 * ((2 * 8 * 8 + 8 * 2 * 7) * 6 * 7 + 7 + 2) * 2 + 9
+4 * (6 * (6 * 3 * 3)) * (7 * 5 * 4 * 2 * (5 + 5 + 8 * 3)) + 7 + 7 * 8
+3 * 2 + 4
+9 + 6 * 2 * 4 + 2
+((5 * 5 + 3 + 7 * 2) * 2 * 5 + (9 + 9)) + 3 + 6 * (9 + 8) * 8 * 9
+4 * (8 + 2 + 3 * 9 * 6) * 6 * 3
+2 * (9 * 6 + (8 + 6 * 4) * (5 * 5) + 9 * 2)
+6 + (3 * (6 * 6 + 4 + 5) + 3 * 5 * 4 + (6 + 9 + 4 * 5 * 3)) + 6 * (3 + (6 + 5 + 5 + 6) * 8 + 8 * 4) * 4 + 6
+9 * 9 * 2 + (6 * 4 * 2 + 4 * 7 * 9) * 7 + ((5 + 6 + 7 + 7) * (7 * 3 + 9) + 9)
+(2 + (6 + 8 + 6 * 5 + 5) + 8 * 5) * 9 + 3
+2 * 9 + 2 + (9 * (4 + 6 + 4 + 2) * 9 * 5 + 7 + 2)
+8 + 6 + 4 + 6
+3 + ((6 * 4 + 2 + 4 + 3 + 8) * (4 * 3) * (9 + 4 * 6 + 2 * 7 * 6)) + 5 + 7
+3 * (8 * 4 + 9 + 4) * 7 * 2 + ((5 + 9 * 6 * 4 * 4) * 8 * 4 * (6 + 2))
+((8 * 7 + 6) * 3 + 2 + 5) + 8 * 5 * 8
+(3 * 2 * 6 * 3 * 2) * 6 * 2 * 9
+(4 * 8 * 3 + 5) + (8 + 9) + 7 * 7 + 3 * 3
+(2 + 7 * (7 * 8)) + 8 + (6 * (4 * 8) * 4 * 2 * 8) * 4 * ((7 + 8 + 4 + 3 + 6) * 4 + 9 + 4) + 3
+((7 + 2 + 3 * 3) * 5 * 5 + 4) + 9 * 2 + 7 + 9 + 2
+(6 + (2 + 7)) * 4 + 7 + 8 * 5
+(9 * 8) + (8 + (2 + 4 + 5 + 6 * 9) + 2 * (8 + 9))
+2 * (9 + 8) * 8 * ((7 * 6 + 7 * 3) + 2 + 5 * (7 * 2 + 7 + 8) + 3 * 3) + 8
+4 * 6 + 6 + 4 * 9
+(2 + 4 + 5 + 3 + 6) + 3 * 3 * 3 + (5 * 2 * 9 + 6 * 6 + 5)
+7 * 5 + (6 + 2 * 2 * 8 + 5) * 6 + 6
+(5 + 8 + 2) + 3
+3 + 3 * 5 * ((3 + 8 + 5 + 9) * 4 + 4 * 4 + 4) + 8 * 3
+2 + (5 + 5 + (6 * 5 * 2 * 8) * 4 + 8)
+8 + (5 * 7 * 2 * 2) * (7 + 9 * 5) * 2 + 9 + 4
+((9 * 9) + 6 + 4 + 9) * 5
+5 + 3 * ((4 + 8) + 9 * 2 * 6 + 7)
+6 + 7 + 5 * (2 + 9 * 4 * 5 * 7 + 5) + 9 * 4
+(7 * 2 + 4 + (8 * 8 + 2 * 5 * 3 * 6)) + (4 + 4 * 3 + 7) + 4 * 6
+2 * (5 * 9 * (5 + 3 * 5) * 5 + 6) + 4 + 5
+5 * (4 + 7 + 4)
+9 * 7 + 8 + 4 + (6 * (6 * 2 * 4 + 9)) + 5
+6 * 3
+(5 * 6 + 2 * (2 + 5 * 6 * 4 + 9 + 2)) + (4 + 3 * (9 * 9 + 4 * 8 * 8 * 9) * 4) * (8 + 7 + (4 + 8 * 2 + 4) * 9)
+8 * 5 + 9
+7 + 4 * 9 * 6 + 6
+9 + 6 * (8 * (7 * 6 + 2 + 4 + 6 + 9) * 2 + 2 + 2 + (7 + 7 + 9))
+6 * (7 * 6 * 6) * 9 * 6 + 7
+(5 * 7 + 9) * 7 + ((4 * 5 + 3) * 5 * (3 + 8 * 7) + 2 + 3 * (7 + 6 + 2)) + (3 * 5 * 5) + 2
+4 * 2 * 2 * 2 * (6 + 4 + 9 + 4 * 5)
+((9 * 7 + 7) + 8 * 7) * 4 + (7 + 9 * 9) * 6
+8 * (6 * (8 + 4) + (5 + 6) * 6) * 7 + 4 * 7 * 2
+(7 + 7 * (8 * 5 + 4)) * 5 * (3 * 6 * 2 * 3 * 9) * 3
+4 + (7 * 5 * 3 * 5 + 3 * 5) * 7
+(6 + 5 + 6 * 3 * (6 * 4 + 6)) + 2 * 5 * 9 + 3 * 5
+3 * (6 + 3 + 5 * 3) + 6 * 3 + (7 + 8) * 9
+(3 + 8 + (5 * 4 + 4 + 7) + 5 * 2) + 2 + 5 + 6 * 9 + (4 + 2 + 6)
+9 * 8 + (3 + (4 + 2 * 8 + 7 * 5 + 3) + (3 * 3) * 3 + (2 * 8))
+7 * 4 + (3 + 7 + 6 + 4 * (3 * 6) * 2) + ((5 + 5 * 5) + 6 + 2 * (2 * 3 * 3 + 3))
+9 * 5 * (6 + (2 * 3)) + (3 * 4 + 3 + 9 + 6) + (9 + 5 + 2 + (3 * 4 * 9 * 9 * 5) + 2 * 7) * 5
+(6 + 9 * 4 + 5 * 4 * (8 + 2 * 4 * 2 * 3)) + 4 * 9 + 6 * (4 * 5 * 9)
+9 * 7 + (2 + (6 + 3) + (4 * 3 + 9) + 9) + 8 + 9 * 3
+3 * (8 + 7 + 7 + 8) * (5 + 5 + 2 + 6 + 9 + 7)
+7 + (7 * 5 + 3 * 4 * 9 + 2) * (8 * 6 + (5 + 2) + 6) * 4 + (6 * 3) + 2
+(4 * 5 + 7 + 3 * (7 * 8) + 8) + 6 * 2 + 9 + 3
+7 * 4 * 8 * (7 + 5 + 2) + (8 * 8 * 2) + 3
+7 + 7 * (6 + (4 * 7 + 3 + 2 + 7) + 3)
+2 + (8 + (5 + 9 + 2 * 6 * 6 + 8) * 8 + 2 * (5 * 2 + 8) * 4) + 2 * 6
+(4 * 9 * (7 * 6 * 9 + 8 * 6) * 9) * 2 * 2
+3 + (8 + 2 + (2 + 3 * 2) * 6 + (5 * 8 * 8 * 8 + 2 + 3)) * 4 * (9 + 3) * 6
+8 + 3 * (3 + 5) + 3 + 5
+4 + ((9 * 5 * 2 + 7 + 5) + 6 + 3 + 6 * (7 * 6) + 6) * 2 * 3 * (3 * 9 + 9)
+((4 * 9) * 8 * 6) + 8 * 8 + 6 + ((6 + 4 + 7) * (2 + 2 * 4 * 9) + 3 + (5 * 9 + 9 * 9 + 5) + 2)
+(8 * 4) + (8 + 8)
+((4 + 5 + 2 * 4 * 7 + 3) * 6 * (4 * 6 + 8) * 9 * (9 + 7 + 5 + 3)) * 5
+8 * 2 + 8 + (7 * (8 + 2 + 6 * 7 + 9) + (5 + 9 + 3) + 6 * 6) * (8 + (4 * 2 + 4 + 7 * 5) + 2 * 6) * 5
+(2 * 5 + (8 * 7 + 9 + 2 + 2)) * 2 + (8 * (2 + 4) + 4 * 5 + 7) + 4
+4 + (2 + (4 * 3 * 9) * 5 * 4)
+((3 + 4) * 7 + 6 + (5 * 3 * 8 + 8 * 9) * 3 + 6) + 8 * 4 * ((7 + 4 * 3) * (6 + 9 + 9 * 4 * 7) + 9 + 5 + 2 + (5 + 8 * 4 * 6 + 4 * 8))
+4 * (9 * 5 * (5 * 7 * 7 + 4)) * 5 * (5 * 7 + (4 * 5) * 4 + 9)
+5 + (8 * 6 + 8) + 8
+7 + (8 + 6) * 4 + 2
+(3 * (9 + 6 * 8)) * 8
+3 + 6 + 4 + ((5 + 4 * 2) + 7)
+7 * 3 + 5 * (2 * 5 + 4) * 8
+5 * 5 + (6 * (8 + 5) * 7) * 7 + 4
+7 + 9 + (2 + (3 + 8 + 4) + 9 * 2 + 6) * (7 + (3 + 6 * 8 + 8 * 7) + 9 * 3 * 8 + (9 * 6 + 2 + 8 + 4 * 4))
+6 * (2 * 8 + 3 + 5 + 5) + (3 + (8 * 2 * 3) * (2 + 9 * 8 * 5 + 3) + 4 + 7) * 7 + (5 * 5 + 7)
+(2 * 2 * 6 * 4 * 9 + (9 * 5 + 7 * 4 + 6 * 2)) * 4 + (4 + (8 * 2 + 3 + 6))
+2 + (8 + 4 * 8 + 3) * 6 + 7 + 4
+(6 + 6 * (2 * 5 * 5 * 4 * 5 * 4) + 8 * 7 * 3) + 5 + (3 * 6 + 3 * 7) + 5 + 5 * 3
+2 * (8 + 2 + 6 * (9 * 9 * 9 + 4 * 2 * 7) * 3 * (4 + 6 * 3 + 8 + 4)) + 8
+(6 * 7 + 8 * 6 * 7 + (5 + 9 * 3 + 6 + 9 * 5)) + 2 * 6
+(7 + 2 * 4 + 3) + 4 * 5 + 3
+((7 * 7 + 2 + 7) + (3 + 3 + 5 + 9 * 3 + 2) * (2 * 4 * 7 + 6 * 3)) * (2 + (7 + 4 + 3 * 9 + 4 * 5) * 4 + 3 * (5 + 8 * 3)) + 5 + (2 + 8 * 2 * 8 * (6 * 7 + 4 + 5)) * (3 * (7 * 6 * 3 * 8)) + 7
+3 * 4 * ((8 + 8 + 9) * 6 + 6 + 7 + 6) + 8 + 3
+(6 + (7 * 4) + (9 + 6 + 3 * 9)) + 2 * (4 + 6 * 5 + (2 + 8) * 5 + 9) + 3 * (6 + 8 + 8 * (7 * 8 * 3 * 2 + 2 + 8))
+(9 + 8 * 4 + (5 * 8 + 7 * 2 * 8 * 9) * 8 + 9) * 3
+9 + ((5 * 3 + 6) + (8 + 6 * 6 + 7 + 2 + 8) * 8 + 5 + (9 + 8 + 2 * 9 + 2)) * 7
+((8 + 2 + 6 + 3) * 8 + 5 + 8 + 2) * 9
+(6 + (4 * 4 * 7 * 2 + 6) * 4 + 2 * 8 * (6 + 2 * 8)) * 2 * 8
+3 * (4 + 3 + 3 + (3 * 7 * 7)) + 6 + 7 + 4 + 8
+(6 * 8 + 7) * 8 * 9 + 8 + 4
+(7 * 7) * 2 + (8 * 7) + 4 * (5 * 2 * (3 + 4 + 7 * 8 * 3) * 9) + 6
+7 + (9 * (6 + 8 * 7 + 6 * 3) + 4) * 4 + 3
+6 + 3 * ((2 + 2 + 3 + 9 + 9 + 8) * 6 + 2) + 5
+3 * 6 * 6 + 2 + 2 + (2 * 2)
+6 + (4 + 9 * (5 + 9 * 4 * 6 + 6) + 4 * 6 * (2 * 7 * 7 * 4 + 8)) + 5
+((2 + 6) + 2 + 5) + 7 + 3 + 5 * 3 + 5
+(6 * (2 + 8 + 7) + 4 * (2 + 8) * 9) + 9 * 6
+(2 * (9 * 4 * 3 * 2) + (4 + 4 * 3 + 2)) + 4
+(6 + 4 * (5 + 9)) + 7 * 7 * 8 * 5 * 3
+(3 + (5 + 4 * 3 + 9)) * 2 * (9 + 6 * 6 * (7 + 8 + 2 * 5) * 8 * 6)
+8 + 6 * 6
+8 + (8 * 9) + 5
+8 + (7 * (6 + 8) * 7 * (5 * 7 * 8 * 7) + (8 + 4 + 6 * 9 + 8) + 4) + (6 * 4) * 3 * 7
+9 + 4 + 3 * 7 * 5
+(8 + 9) + 6 + 4 * 7
+5 * (4 * 6 + 4 + 2 * (5 * 2 * 2 * 8)) * 3
+3 * 3 + 2 + ((8 + 5 + 4 + 8 + 8) * 7 * 6 + 9 * 8)
+9 + (8 + (8 + 9) + 7 + 8)
+(8 + 2) + (2 + 5 + 7) + 6 * 6 * 6 * 6
+5 + 7 + (5 + 4 * (5 * 6 + 3 + 3) + (7 * 9 * 5 * 6 * 6 + 3) * 8) * 7
+6 + ((7 * 3) * 6 * 5 + 5 + (3 + 3 + 9)) + (6 * 2 + 6 + 9 + (2 + 4 * 3 * 4) + 7)
+8 * 5 + (9 * 2 * 7 * 2 * 6 + 8) * 2 + 2 + 6
+6 * 8
+(2 * 3 + 5 + (8 + 6 * 8 * 7 * 2)) * 3 + 2 + 6 + 2 * 5
+(7 + 6 * (2 + 2 * 4 * 9 + 7 * 5) * 4 + 2) + 4 * (9 + 6) + (9 + 5) + 7
+5 * (3 + 7 + 7 * 4)
+2 * ((2 * 7 * 8 * 4 * 3 + 7) + 6 + 3) * 5 * 7
+8 * 4 + 7 + (6 * 4 + 3 + 2) + 7 * 8
+7 * 9 + (2 * 9 * 2) * 6
+8 + (6 * (2 + 8) + 9) + (7 + 6 + 6 * (8 * 3 * 5 * 5 * 9) + 3 + 7) + 8
+2 + 5 * 4 + (4 * (3 + 7 * 5 + 8) * 8 + 2) + 3 * 7
+(8 * (9 * 7 + 9 + 9 + 4) * 3 + 2) * 8
+4 + (6 + (2 + 4 * 6) + 4)
+(8 * (4 + 6 + 2 * 6 + 7)) * 9 + 8 + 3 * 5
+((2 * 7 + 3 * 5) * (5 + 7 + 7 + 3 * 7 * 3) * 8) * 2 * ((2 * 9 * 4 * 6 + 4) + 6 + (8 * 5 * 4 * 5 * 6 * 8) + 7 * (9 * 6 + 7 * 3 + 4 + 7)) + 9
+6 + 8 + (3 * 3 + 2) + 5 + 4
+5 * 6 + 6 * 5 * ((3 + 5 * 8 + 4 * 8) * 9 * 9 + 6 * 4 + 6) + (4 * 7 * 5 + 9 + 7)
+2 * 7 * (4 * 7 + (4 + 7 + 4 + 3 * 2 + 7) + 7)
+((8 + 3 * 6 * 6 + 4) + (9 + 5 + 3 * 3) + 7 * (3 * 4 + 4 + 9 * 4 + 6) + (8 + 5 + 2 * 2 * 5)) * 8 * 6 * 7 + ((5 + 6 + 2 * 4 + 2) * (9 + 8 + 9) + 6 + (6 * 5 * 9 + 7) * 4 * 6) * 7
+4 * 5 * (9 * 3) + (9 + 6 + 5 * 8)
+3 * 8
+9 + 2 * (7 + (2 + 9) * 9) + 4 * 4 * 8
+(8 + 4 + 7 * 2 + 8 * (8 + 7 * 4 + 4)) + 4
+4 + 8 + ((7 * 9 + 9) + 3 + 2 + 3) * 8
+(6 + (4 + 3 + 8 + 6 * 8)) * (5 + 9 * (5 + 2 * 7 + 8) + (6 * 7 * 4 + 2 * 5) + 4 * 9) * 8 * 5
+8 + 3 + 4 * 9 * ((4 * 9 + 3 + 6) + 3 * 3 + 9) * 2
+6 + ((3 * 2) * (4 + 9 + 9 * 5 * 2) * (2 * 8 + 4 * 7 + 4 + 8)) * 5 + (9 * 4 * 6 + 6 * 4 + 8)
+2 + (5 + 4 * 8) + (9 * 9)
+8 * 3 + 7 * 3 + ((2 * 2 + 6 * 3) * 3 * 7 * 8 + 5) + 9
+4 * 7 + ((6 + 7 * 3 * 4 + 8) * 2 + 6 + (4 * 6 + 9 + 6 * 8 * 3) + 3 * 3) + 3
+5 * (9 * 9 + (7 + 6 + 2 + 9 + 9 + 9)) * 8
+5 + 4 * 2 + 7 * (5 * 5 + 2 + 3)
+2 * 2 + 6 + ((2 + 2 + 5) * 6 * (2 + 7 + 3 * 9) * 5 + 9 * 8)
+((2 * 4 + 7) + 9 * 8) + 5 * 6 * 2 + 9
+6 + ((7 * 9 * 9 + 2) * 2)
+6 * (7 + (4 + 7 * 2) * 5 + 2 + 7) + 6 * 7 + 5
+8 * (6 * 8 + (7 + 2 + 7) + 3) + 7 + 6
+(7 * 2 * 3 * 7) + 4 * 3 + 6 * 9 + 7
+8 * 7 * (8 * 9 * 3)
+9 + (9 * 4 * (9 + 3 * 5 + 9 + 9) * 8 + 5 + 9)
+6 * (9 * 2 * 9 + 6 + 9 + 8) + (6 * 9 * 5) + 2 * 4
+2 * 5 * (7 + 8 + 3 + 8 + 6 * 4) * 4 + 5
+2 * 2 * (4 + 3) + 2 + 4 * 4
+(6 * (9 * 6 + 2 * 2) * 4 * 3 * 4 * 7) + 2
+(2 * 5) * 3 + 3 * 3 * 7 * 8
+3 + 6 + ((6 * 6) * (9 + 8 * 2) * 7 + 5 + 9 * 2)
+9 + 7 + (2 * 8)
+(8 * 7) + (8 + 6 * 7 + (3 * 9 + 6) * 6 + 8) + (4 * 2 * 9)
+2 + 2 + 2 + 9 * ((4 + 5 * 7 * 5 * 4 * 7) * (9 + 9) + 4 * 4 + 9) * 8
+4 + 2 + ((6 + 8 * 4 + 7) * 7 + 3 * 9 + (9 + 5))
+7 + 8 * (3 * (3 + 9 + 6 * 5) + 6 * 8) * 7 + 4
+8 + 7 * (2 * (5 * 7)) + (4 * 3 + 7)
+(2 + 8 * 7) + ((8 * 9 * 3 + 3 + 5 * 7) * 2 * (9 + 6 * 3 * 5) * 4 * (4 + 6 * 6 + 4 * 9) * 3) * 6 + 4 * 4 + 2
+3 * (9 + 4 + (9 + 5 + 8 + 6 * 3 * 4) * 8 + (9 * 3 + 8 + 4 + 7)) * 8
+(4 + 4 * (4 * 7)) * 2 + 7 * 3
+((4 * 9) * (9 + 6 + 9 * 8 + 7)) + 6 + 7 + 7
+6 + ((9 * 5 + 9 + 6 * 6 + 4) * 7 + (9 + 5 + 5) * 9 + 3) * (5 * 9) + 8 + 9
+(3 + 8 * (7 * 3 * 4)) * (6 * (6 + 4) + (9 + 8) * (2 * 5 + 4) + (8 + 5 * 6 + 5 * 2 + 2)) * 6 + 9 + (7 + 6 * 5) + (5 + 4 + (6 + 8 * 2) * 2)
+4 * ((6 * 8 + 7 * 6 + 4) + 4)
+((5 * 6) + 4) + (9 + 4 + 9) + 2
+5 * 9 * 7 * 6 + (9 * 7)
+5 + (2 + 7) * 5 + 9 + 7
+6 * 2 * 8 + 4
+(3 + 2 * 4 + 8) + ((7 * 5 + 7 * 2 * 8) + 7 + 2) * 6 * 2 + 5
+(2 * 5) * (3 * 9 * 4 * 8 + 5 * 3) * ((9 + 5 * 6 * 3) + 3 * 7 + 4) * 5
+((3 + 6 * 3) * (4 + 9 * 5 * 6 + 4 * 7)) + ((8 * 7 * 2 + 7) + 5 * 6) * 6 + 7
+(8 + 4 * 8 * 8) * 9 * 9 + 7 + 4
+(7 * 9 + 5) * 5 + (9 + 4 + 4 + (7 * 9 * 2 * 8 * 2 + 9)) * ((7 * 5 * 7 * 3 * 7) * 5 * 2) + 8
+5 + (6 * (8 + 9) * 7 + 9) + 3 + 3
+8 + 8 * (6 * 5 * (3 + 5 + 9 * 2 * 9 * 7))
+5 * (4 + 7) * 5 + 7 + 8 + 6
+3 * ((5 + 6 + 2 + 7) * 4 * 6) * 5 * 5
+(6 + 3 * (9 * 9 * 7 * 8 * 9 + 9) + 5) * 8 * 6 + 7 + 2
+8 * (4 + 3 * 5 + (5 + 2 * 3 + 8) * 2 + (8 + 7 * 7 + 4 * 7 + 7)) + 8 * 6 + 4 * 5
+4 + 7 * 8 * (2 + 6 + 5) * (4 + 8 + 4)
+9 + 8 * ((2 * 3 * 6 + 4 * 2) + (6 * 5 * 9 + 7) * 5 * 2 * 9 * 7) + (9 + 4 * (2 * 8 * 7) * 3 + (9 + 8)) + 3 + 6
+7 * 3 * 8 + ((6 + 7) * 9) * 2
+5 + 3
+4 + 9 * 7 * ((7 * 8 + 7 * 2 + 5 * 7) + 5 * 4) + (5 * 5 + (7 * 6) * 6)
+((2 + 4) * 5) * 3 + 5
+5 + (2 + 8 * 9 * 6 * 2 * (2 + 8 + 3 + 5)) * 9 * 8 + 3 * (9 + (4 + 2 + 4 + 7 * 4) * 9 * 9 + 7)
+2 + 6 * 9 + 3 + (7 + 8 + 2) * 4
+5 * 4 * (2 * 4 + 3 + 3 * (9 + 6 + 6) + (3 * 8 * 4)) * 4 * 3 + (9 * 7)
+7 * (5 * 5 + 4 + 8 + (3 * 4 + 6 + 9)) * 2 * 9 * (6 + 7)
+2 + (5 + 3 * 5 * 8) + 3 * 8 + (9 + 9 * 8 * 2 * 2)
+((7 + 9 * 9) * 7 * 2) + 6 * 6 * 9
+(6 * (9 + 9 + 4 + 5 + 6 + 2) + 6 + 8 + (7 * 3 * 8)) + 2 + 6 + 2
+(3 + (6 * 2 + 2 + 6 * 7 + 8) * 9 * 2) * ((2 + 9) + 8 * 9 + 2) + 3 * (3 + 4 * 7 * (3 + 2 * 8 * 6 + 7) * (5 + 3)) * 5
+(9 * (9 * 9 + 7 * 4) + (7 * 4 * 7 * 5) * (9 * 2 + 8 + 5 * 6)) * (6 * (7 + 9 + 6 * 7 + 9) + 4 * 4 * 2 + 6) * 9
+4 + (3 + (4 + 5)) + 7 * (6 + 4 * (5 + 3 + 9 + 5 + 2) * 4 + 4) + 8 + 8
+((5 + 8) + 5) * 9 + 6 + 8 * 7
+8 * (5 + (3 * 3 + 6 * 3)) * 5 + 2 + 8 * 8
+6 * 2 * 9 * (8 * 7 * (2 * 4 + 6 + 7 + 4 * 5)) + 9 + 7
+(5 * 3 * (8 * 2 * 8 + 2 + 8) * (8 + 8 + 9 * 7 * 6 * 3) + (4 * 2 * 7) * 4) + (4 * 3 + 9 * 5) + 5 + (5 + 9)
+(6 + 3) * 5 + (6 + 7 + 5 + 7)
+(9 * (6 + 6 * 8 + 4) * (3 * 6 + 6 + 7 + 7 + 5) + (5 * 7 + 4) * 9) * (7 + 3 + 7 * 2 + (5 + 7 * 6 + 8) * 4) * 7
+6 + 8 * (5 * 5 + (3 * 2 * 2 * 7 + 4 * 9) * 7 + 4) + 8 + 4
+9 + (5 * 7) * (5 * 6 * 8 * (5 * 2) + 9) * (6 + 3 + 6 + 9 + 2) * 6
+8 * (8 + 8 + 9 + 9 * 6 * 3) + 8 * (3 * 3) + 3 * 3
+7 * 7 * (5 + 5 * 9) + (6 * 6 * 3 * 4 * 8 + 8) + 3
+(3 * 2) + 5 * (6 * (9 + 2 + 3 + 2 * 9 + 5) + 6) + 2 + 7 * 9
+9 * 2 + 3 + (3 * 7) + 4
+7 * 5 * 7 * (4 + 3 * 7 + 3 + (4 * 5 + 5) + (5 * 8)) * (8 * 3 * (8 + 9))
+((3 * 8 * 8 + 6 + 5 * 5) + 3 + (3 * 8 * 7)) * 2 * (9 + (9 * 8) * 5) * 5 * 4 + 7
+4 * 9 * (4 + (3 * 7) + (6 * 4 * 9)) + 2 + 8
+5 * ((7 + 2 + 6 + 6) * 2 + 4 * 8)
+5 + 9 * ((7 + 2) * 5 * 4 * (5 + 7) + (8 + 4 * 8 * 7 * 9))
+((4 + 3) + 6 * 3) * (4 * (4 * 6) * 3 * 2 + 8 * 4) + 8
+5 + (6 + 3 + 6 * 8 * 7 * 2) + 3 * 9 + (8 + 2 + 6 * (4 + 6 * 6 * 8 * 3 * 3)) + 7
+7 + (8 + 8 * (8 + 3 * 3 * 5 + 2)) + 4 + (2 + 3 * 7 * 7 + 6 + 2) * 9
+7 * 3 * 2 + 6 + 7 * 4
+(3 + 4 * 7 + (8 * 3 * 5 * 8 + 5 * 3) * (7 + 4 * 8 + 9)) + 8 + (4 * 3 * 4) * (6 + 4 + 8) + 5 + (9 + 6 + 2 + 4)
+((3 + 9 + 5) * 7 * 2 * (3 + 7)) + 5 + 3
+(4 * 9 + 3 + 9) * 8 * 8 + ((7 * 2 + 6 * 2 * 2) + 8 * 3 * 2 + 2 + 6) * 3 + 7
+(5 * 6 * (8 + 8) + 2) + 6 + 2 * (5 + 4) + 2
+(3 * 8 + 2 + 5 + 6 + 6) + (8 + 7 + 9 * 4 * 4 + (4 * 4 + 4 * 7 + 7)) * 4
+(7 * 7 * 4) * 7 * 3 + 6
+(9 * 3 + 7) * 7 + 4 + 2 * 7 * 3
+6 * 9 + (6 * 6 + 6 * (3 * 9 + 7))
+5 + 6 * 7 + 8 + (3 * 3 + 5 + 3 + 6) + 8
+(6 + 4 + 6 * 9) + (3 * (6 * 3 * 2 + 2 + 9)) + (2 + 9 + 8 * 3 * 8 + 9) + 4 + (4 + 4 + 7)
+4 + 3 * ((6 * 3 * 2) + 3 * 3 + (6 * 4 + 5 * 5 * 7) * 6 + 3)
+2 + (7 * 5 * 6 + 8 + 4 * 8) * 3 * 6 * 3
+9 * (8 * (6 * 7 + 7) * 3 + 9) + 7 * 5 + 6
+((3 * 5) + 2 * 4 * 2) * 7 + (4 + (4 * 2 * 6) + 2) + (3 + 5 * 8 + 6) + (5 + 2 * 6) * 2
+8 + 9 * (4 + 6 + 9 + 2 + 4 + 6) * (9 + 4 * 5) * 2
+(6 + 9 + 4 + 7 * 7 + (6 + 5 + 4 * 6 + 4 * 5)) * 3 + 7 + (2 + 9 + 7 + 8 + 4 * 5)
+(6 * 7 * (7 * 7 + 3 * 9 + 4 * 2) + 8 * 7) * 3 * 2
+(7 * (5 * 2 + 2 + 8 * 4 + 6)) + 7 + 7 * 8 * 7 + 2
+(8 * 6 * (4 + 6 * 8 * 8)) * 8 + 4
+(4 + 7) * (7 * 4 + 4 + 5 + (9 * 9 * 4 * 5) + 8) + 4 + (8 * 9 + 2 + 4 * (2 * 2 + 8) * (5 * 7 * 4 * 6 + 2)) + 6
+4 * (8 * (2 * 5) + 4 * (7 * 2 + 7 + 8) * 7) * 4 * 9 * 7 + ((5 * 4 * 5 + 7 + 9) + 7 * 7 + (6 * 3 + 8 + 7 * 4) + (6 + 4 * 3))
+((3 + 4 + 7 * 8 * 5) * 9 * 6) + 6 + 3
+((7 + 3 * 8) * (3 * 7 + 4 * 3) + 5 + 2 * 9) * 8 + 4 + 2
+((3 + 8 * 8 + 9) * 5 * (5 * 6 + 5 + 7)) + 2 * (6 * 5 + 4 * 6 * 4 * 8) * 9 * 7
+4 + 9 * 8 * ((8 * 6) + 7 * 2 + 2 * 6)
+(2 * 3 * 3) + 4 * 8 * (3 * 5)
+(8 * (5 + 9) + (5 * 6 * 7 * 2) + 4 + 4 + (6 * 9 + 8 + 7 + 2)) * 7 * 2 * 6 + 2 * 2
+(8 * 9 * 7 + 3 * 6) + 5 + 4 * ((9 + 8) + (3 + 7 + 6 * 2) + (7 * 5 * 9 + 5) * 8 * 3) + (6 + 9 * (6 * 8) + 2 + 4 * 4)
+6 + 8 * 9 + (4 * (9 + 2 + 3 + 5 + 3 + 8) + (3 + 7 * 4) + 4 * 7 * (6 + 2))
+2 + 4 * 7 * 5 + (8 * 3) + 6
+9 + 9 + 4 + (4 * 3 + 3 * 2 + (7 + 2 + 9 + 8) + 4)
+3 * 7 * 7 * 9 + 7
+(3 * 2 * 3 * 5 + 6) + 4 * 5 + 8 + 5
+7 * 6 + 7 * 8 + 8 * 3
+(6 + 2 + (6 * 8 * 5) * 6 + 3 * (8 * 5 * 9 * 2 * 7 + 4)) * 3
+(8 + (4 + 2 * 3 + 7 * 5) * 9) * 3 + 9 + 4 + 6
+(9 + 6 + (6 + 3 * 2 + 8 * 5 + 7) + (8 + 8 * 3 + 9 * 4 * 8) + 6 * 2) * (7 + 9 + 5 + 8) * 7 + 4 * ((6 * 5 * 7 + 7 * 9 * 3) + (2 * 4 + 4 * 2))
+(5 * (3 + 5 + 5 * 6) * 7) + 8 + 3 * 4 + 7
+3 * 7 * (9 * 5 + 9 + 7) + 9 * (3 * 4 * 4 * (8 * 4 + 2 + 5)) + (9 * (5 * 3 * 4 * 9) + 5 * 8 + 9 * 5)
+6 + 7 + ((2 * 4 * 5 + 7) * 2 * (8 + 8 * 4 * 3) * 3) * 5 * 6 * 4
+7 * (9 * 6 * 4) + 7 + (8 * 2 * 7 * 4 + 8)
+4 + 7 * (8 * 4 * 2 * (2 + 5 + 9 + 5 * 2 + 5) * (5 * 6 + 2 * 5 + 9) + 3) * 9 * (3 * 6 + 3 * (4 * 4 * 6 + 6 * 2 * 9)) + 8
+2 + 6 * (8 + 9 + 6 + 2 * (9 + 4 * 7 * 5 + 5)) * (7 * 7 * 2 * 9)
+4 * 3 + (8 * (6 * 8 + 8 + 6) + 3) + 5
+(5 + 6) + (2 + 6 + 4 + 8)
+(9 * 5 * 3 + 6 * 6) + (5 * 4)
+3 * 2 + (7 + 7 * 2 + (6 + 6 + 2 * 8 * 4) * 3) * 8
+(4 * 6 + 6) + 4 * 9
+6 + (9 * 3 * 3 * 3) + 8
+(5 + (9 + 6 + 3 + 7 * 3 + 5)) + 5 + (4 * 3 + 4) * 9 * 3
+(6 + 8 * (8 + 3 * 2 + 4 + 5 + 9)) * 7
+6 + 3 * 3 * 5 + ((7 + 4 * 8) + 2 * 7 + 4 * (5 + 8) * 8) + ((5 * 4 * 2) * 4 * 5 + (3 + 4 + 4 * 7 + 7))
+2 * 3 * 3 * 4 * 7 + 2
+6 * (7 + 9 * 9 + (9 * 6) + 5) + 4
+8 * (2 * 7 + 5 * 5 + 8) + 5
+(4 * 5) + (3 + 3 * (5 * 9 + 8 * 2) + 6 * 4 + 4) * 5 + 6
+4 * 9 + (3 + 3 * 2 + (2 + 4 * 4 * 7 * 7 + 5) * 9) * 5 * 3
+(5 * 3 * 6 + 8 + 2 + 4) * 6 * 8 * ((6 * 2 + 2 * 4 + 6 * 2) * 6)
+4 * (5 * 4 * 6 + (7 + 3 * 9 + 3)) + (3 * 4 + 4 + (5 + 7 * 6 * 2 + 7) + 3)
+3 * (5 + 2 * 6 + 8 + 5) + ((8 + 3 * 6 + 8 * 3) * (7 * 7)) + 8 * 4 * 5
+4 + (8 + 6 * (4 + 3)) * 4 + 4
+4 * 3 * (3 + (8 * 9) * (9 * 7 * 4 * 9 * 4 * 8) * (5 + 2 + 2 + 2))
+8 + (2 + 2 * 5 * 3 * (4 * 3 + 7 + 6 + 3)) + 7 * 2 * 5 * 5
+4 * (7 * 9 * (2 * 2 * 5) + 2 + 8 * (6 + 2)) * 4 * 7 * 8
+(2 * 3 * 3 * 2 + (9 * 8 + 5 + 4)) + 7 * 2 * 6
+((6 * 7 + 3 + 3 * 4) * (5 + 9 + 5) + 7 * 6) + 9
+6 * 9 + 8 + 3 + 6 * (6 * 9 + 9 + 3 * 2 * 2)
+(3 * 5 + 2 + 9) * (6 + 9 + (6 * 8 + 2 + 8 * 3 + 8) + (2 + 6 + 6 + 6 * 3)) * ((7 * 5 * 9) * 3 + 9 + 3 + 8 * 2) * 8 * 6 + 8
+3 * (4 + 4 + 6 * (5 + 7) * 8) * (3 * (6 * 7 + 3 + 7 + 7) + 7)
+6 * 8 + 8 * (6 + 9 + 5) * 7 + 7
+3 * (8 + 5 + 8 * 7 * 7 * 8) + 7 + 9 * 4 + 9
+(4 + 5 + 7 + 6) * (9 * (6 * 3 + 9 + 3 + 3) + 6 * 8 + (2 * 8 * 4 + 7 + 5 * 4))
+7 * 2 + 3 * (5 + 9) + 7 * 3
+7 * 8 + 5 + 7 * 4 * ((7 * 4 + 8 * 8) * (6 + 5 * 8 + 7 + 5 * 3))
+(7 * 4 + 3) + (7 + 9 * 7 * 9 * (3 + 2 * 2 * 8 * 2 * 6)) + 5 * 3 + 3 + 3
+5 + 6 * (3 + 6) * (6 + (7 + 2) * 3 + (8 * 6 + 3 + 8 + 5 * 9)) * 7
+(9 + 6 + 8) + 3 + 5 + 2 + (3 * 9 + (8 + 3) + 7 * 3)
+6 + (9 + 7 * 2 * (8 * 9 * 2 + 7 + 6 * 7) * 6)
+2 + 4 * ((7 * 2 + 4) * 8) + 9 * 3 * 3
+3 + ((5 + 4) * 4 * 7 * (3 + 5 * 4 + 3) + 3)
+(7 + 4 * 3 * 6 * 7 * 5) * 2 * 7 + 4
+(7 * (7 * 9) + 8 + 2 * (6 + 9 + 9 * 2 * 5) + 7) * 7 * 7 + 9
+(2 * 5 + 9 * 5) * 3
+3 * 9 + 5 + 7 * 9 + 6
+9 * 3 * ((3 * 6 + 4 + 8) + 9 + 2) * 3
+8 * 3 + 6 * 8 * 2 + 4