split :: String -> [String] split = go ("", []) where go :: (String, [String]) -> String -> [String] go (a, acc) "" = acc <> [a] go (a, acc) (' ' : xs) = go ("", acc <> [a]) xs go (a, acc) (x : xs) = go (a <> [x], acc) xs prompt :: IO [String] prompt = do split <$> getLine m = 998244353 fac :: Integer -> Integer fac 0 = 1 fac n = (fac (n - 1) * n) `mod` m solve :: Integer -> Integer -> Integer -> Integer solve n a b = let r = (fac n + ((m - 2) * fac (n - 1)) `mod` m) `mod` m in if a /= b then (r + fac (n - 2)) `mod` m else r main :: IO () main = do vs <- prompt let [n, a, b] = map read [head vs, vs !! 1, vs !! 2] print $ solve n a b