Problem Statement

You've come to your favorite store Infinitesco to buy some ice tea.

The store sells ice tea in bottles of different volumes at different costs. Specifically, a $0.25$-liter bottle costs $Q$ yen, a $0.5$-liter bottle costs $H$ yen, a $1$-liter bottle costs $S$ yen, and a $2$-liter bottle costs $D$ yen. The store has an infinite supply of bottles of each type.

You want to buy exactly $N$ liters of ice tea. How many yen do you have to spend?

Constraints

• $1 \leq Q, H, S, D \leq 10^8$
• $1 \leq N \leq 10^9$
• All input values are integers.

Input

Input is given from Standard Input in the following format:

Q H S D
N

Output

Print the smallest number of yen you have to spend to buy exactly $N$ liters of ice tea.