import java.io.PrintWriter;
import java.util.*;

public class Main {

    static String br = System.getProperty("line.separator");
    static Scanner sc  = new Scanner(System.in);

    public static void main(String[] args){

        int N = nextInt();
        int A = nextInt();
        int B = nextInt();

        println(Math.min(N*A, B));
    }

    static int nextInt(){
        return Integer.parseInt(sc.next());
    }
    static void println(Object o){
        PrintWriter out = new PrintWriter(System.out);
        out.println(o);
        out.flush();
    }
   static void print(Object o){
       PrintWriter out = new PrintWriter(System.out);
       out.print(o);
       out.flush();
    }
}

/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