
import java.util.*;
import java.math.*;
import java.io.*;
import java.lang.*;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int a = sc.nextInt();
        int b = sc.nextInt();

        System.out.println(Math.min(b,n*a));
    }
}

class io{
    public static void YesNo(boolean f) {
        System.out.println(f?"Yes":"No");
    }
    public static void YESNO(boolean f) {
        System.out.println(f?"YES":"NO");
    }
}

class Algo{
    public static boolean isOdd(int n){
        return n % 2 == 1;
    }
    public static boolean isEven(int n){
        return n % 2 == 0;
    }


}


/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