import java.util.*;

public class Main {

    public static void main(String[] args) {
        //
        //Compute c1=new Compute();//計算系
        //変数
        int count = 0;
        boolean sw = false;
        int max = Integer.MIN_VALUE;
        int min = Integer.MAX_VALUE;
        double dMax = Double.MIN_VALUE;
        double dMin = Double.MAX_VALUE;
        int answer = 0;
        //String answer="No";
        //StringBuilder answer=new StringBuilder();
        //List<Integer> list = new ArrayList<>();
        //int array[] = new int[];

        //入力
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int a=sc.nextInt();
        int b=sc.nextInt();

        int c=a*n;
        answer=Math.min(b,c);


        //出力
        //BigDecimal bd = new BigDecimal(answer);
        //System.out.println(bd.setScale(12,BigDecimal.ROUND_DOWN));
        //System.out.println(String.format("%.0f",answer));
        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