import java.util.*;
import java.util.Scanner;

public class Main {
    public static void main(String[] args) throws Exception {
        // Your code here!
        // 電車1人A
        // タクシーN人B
        Scanner scan = new Scanner(System.in);
 
        int num = scan.nextInt();
      int train = scan.nextInt();
      int taxi = scan.nextInt();
      
        
        if (num * train < taxi) { 
            System.out.println(num * train);
        } else if (num * train > taxi) {
            System.out.println(taxi);
        } else {
                      System.out.println(taxi);
        }
          
        
    }
}

/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