function main()
    a, b, c = int(inputs())
    println(min(a * c, b))
end
# --------input func----------
input() = readline()
inputs() = split(readline())
int(s::AbstractChar) = parse(Int, s)
int(s::AbstractString) = parse(Int, s)
int(v::AbstractArray) = map(x -> parse(Int, x), v)
debug(x...) = println(stderr, x...)
isfile("myinput.txt") && (mystdin = open("myinput.txt", "r"); redirect_stdin(mystdin))
main()
@isdefined(mystdin) && close(mystdin)