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

\(1 \le P \le H \le 10^5\)

\(1 \le S \le 300\)

\(1 \le T \le S\)

\(1 \le x \le S\)