题目描述
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.
Examples
Input
20 30 70 90
3
Output
150
Input
10000 1000 100 10
1
Output
100
Input
10 100 1000 10000
1
Output
40
Input
12345678 87654321 12345678 87654321
123456789
Output
1524157763907942
输入格式
见题面
输出格式
见题面