import java.util.Scanner;
public class Main {
	public static void main(String[] args) {


        // Scannerクラスのインスタンスの生成
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int a = sc.nextInt();
        int b = sc.nextInt();

        int sum =  n * a;

        if (sum < b) {
        	System.out.println(sum);
        } else if (b < sum) {
        	System.out.println(b);

        } else if (sum == b) {
        	System.out.println(sum);
        }

	}



}
/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