open System

module Test1 =
    let test1 n a b =
        let mutable min = b
        let na : int = n * a
        if na < min then min <- na
        min

[<EntryPoint>]
let main _argv =
    let inputArray = stdin.ReadLine().Split(' ') |> Array.map int
    let n = inputArray.[0]
    let a = inputArray.[1]
    let b = inputArray.[2]
    Test1.test1 n a b |> printfn "%d"
    0
 