import java.util.*;

public class Main{
	public static void main(String ...ar){
		Scanner sc=new Scanner(System.in);
		int n=sc.nextInt();
		int a=sc.nextInt();
		int b=sc.nextInt();
		if(a*n<b)
			System.out.println((a*n));
		else 
			System.out.println(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