import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int n = scanner.nextInt();
        int a = scanner.nextInt();
        int b = scanner.nextInt();
        int answer = solutionA(n, a, b);
        System.out.println(answer);
    }

    public static int solutionA (int n, int a, int b) {
        if ((n * a) < b) {
            return (n * a);
        } else {
            return b;
        }
    }
}

/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