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 Ruby (2.3.3) (judge verdict: Wrong Answer)

l, r = gets.split.map &:to_i
l %= 2019 * 2
r %= 2019 * 2
if l > r
  puts 0
  exit 0
end
 
res = 2019
 
 
l.upto(r) do |i| 
    r.downto(l) do|j|
        break if i >= j
        break if res == 0
        res = [res, (i * j) % 2019].min
    end
end
 
puts res