import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        Integer n = scanner.nextInt();
        Integer a = scanner.nextInt();
        Integer b = scanner.nextInt();
        
        Integer kingaku = n*a;
        if(kingaku <= b) {
          System.out.println(kingaku);
          return;
        } else {
          System.out.println(b);
          return;
        }
        
        
    }
}
/tmp/hf-datasets-cache/medium/datasets/42704881117311-config-parquet-and-info-qiankunmu-Project_CodeNet-896c9d36/hub/datasets--qiankunmu--Project_CodeNet_Python800_and_Java250/snapshots/c899fde44a77ba1cc14973ed3de064e4ff3aadc7/Project_CodeNet_Java250.tar.gz