import java.util.*;
import java.math.*;

public class Main{
	public static void main(String args[]){
		Scanner sc = new Scanner(System.in);
        String str = sc.nextLine().trim();
        sc.close();
        String[] strArr = str.split(" ");
        int n = Integer.parseInt(strArr[0]);
        int a = Integer.parseInt(strArr[1]);
        int b = Integer.parseInt(strArr[2]);
        int train = n * a;
        if(train < b){
            System.out.println(train);
        }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