import java.util.Scanner;
// 注意类名必须为 Main, 不要有任何 package xxx 信息
public class Main {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int a = in.nextInt();
int b = in.nextInt();
int n = in.nextInt();
if (b / 3 >= a) System.out.println((long) a * n);
else {
System.out.println((long) n / 3 * b + Math.min((n % 3) * a, b));
}
}
}


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