import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		
		Scanner scanner= new Scanner(System.in);
		int a, b ,n;
		
		n = scanner.nextInt();
		a = scanner.nextInt();
		b = scanner.nextInt();
		
		int taxi = b;
		int train = n * a;
		int answer;
		
		if(taxi < train) {
			answer = taxi;
		}else {
			answer = train;
		}
		
		System.out.println(answer);
		
	}

}

/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