
// 問題URL
// https://atcoder.jp/contests/abc133/tasks/abc133_a

import java.util.Scanner;
import java.util.Arrays;
import java.util.stream.*;

public class Main {
    public static void main(String[] args) {
        //コード
        Scanner scanner = new Scanner(System.in);
        Integer n = Integer.parseInt(scanner.next());
        Integer a = Integer.parseInt(scanner.next());
        Integer b = Integer.parseInt(scanner.next());

        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