import java.util.*;

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();

	int sumA = a * n;
	int ans;
	if (sumA < b) {
		ans = sumA;
	} 
	else {
		ans = b;
	}
	System.out.println(ans);
}
}
/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