Problem:
Score : 100 points

Problem Statement

N of us are going on a trip, by train or taxi.

The train will cost each of us A yen (the currency of Japan).

The taxi will cost us a total of B yen.

How much is our minimum total travel expense?

Constraints

All values in input are integers.

1 \leq N \leq 20

1 \leq A \leq 50

1 \leq B \leq 50

Input

Input is given from Standard Input in the following format:

N A B

Output

Print an integer representing the minimum total travel expense.

Sample Input 1

4 2 9

Sample Output 1

8

The train will cost us 4 \times 2 = 8 yen, and the taxi will cost us 9 yen, so the minimum total travel expense is 8 yen.

Sample Input 2

4 2 7

Sample Output 2

7

Sample Input 3

4 2 8

Sample Output 3

8

Solution in Haskell (GHC 7.10.3) (judge verdict: Accepted)

import Data.Maybe
import Control.Monad
import qualified Data.ByteString.Char8 as C

readInt' = fst.fromJust.C.readInt
readLnInt = map readInt'.C.words<$>C.getLine
readCsInt n = concat<$>replicateM n readLnInt

x ? (a,b) = if x then a else b
half = flip div 2
aliq = ((0==).).mod

main = do
 inputs <- readLnInt
 print $ solve inputs

solve [n,a,b] = min (n*a) b