A family consists of $x$ members. You are given the task to book flight tickets for these $x$ members.
You are given the following information about the airline in which you have to book the tickets:

• $P$: It denotes the cost of one ticket of the flight.
• $S$: It denotes the number of total available seats in the flight.
• $T$: If the numbers of available seats are less than or equal to $T$, then the cost of the flight ticket increases to $H$.
• $H$: It denotes the new hiked cost.

Determine the total cost to book the tickets for all the family members.

Note: The tickets are booked one by one for all the family members.

Input format

First line: Five space-separated integers $P,S,T,H,$ and $x$ respectively

Output format

Print the total cost to book the tickets for all the members of the family.

Constraints

$1 \le P \le H \le 10^5$

$1 \le S \le 300$

$1 \le T \le S$

$1 \le x \le S$