import Control.Monad
import Data.Maybe
import qualified Data.ByteString.Char8 as BS
import Data.List

readInt = fst . fromJust . BS.readInt
readIntList = map readInt . BS.words
getInt = readInt <$> BS.getLine
getIntList = readIntList <$> BS.getLine

main = do
    [k,a,b] <- getIntList
    let ans | a >= k = 1+k
            | a >= b-2 = 1+k
            | otherwise = b + p*(b-a) + q
            where (p,q) = (k-a-1) `divMod` 2
    print ans