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)

def main(l,r)
  min = 2020
  (l..r-1).each do |i|
    (i+1..r).each do |j|
      mod = (i*j)%2019
      min = mod if min >= mod
      break if min == 0
    end
    break  if min == 0
  end
  return min
end

L, R = gets.chomp.split.map(&:to_i)
p L, R
p main(L, R)