Ahmed, the mighty leader of the anti-gang gang AC, is also the owner of a major franchise that sells clothing! As the 2^nd in command of Calvin's gang CA (rival gang of AC), you come up with a sneaky idea to put them out of business: buying out their entire T-shirt stock and monopolizing the T-shirt industry! All that's left is to calculate how much money you need to ask your Boss for in order to execute your scheme. AC T-shirts come in 3 sizes — small, medium and large. You can purchase small T-shirts for ~A~ dollars, medium T-shirts for ~B~ dollars, and large T-shirts for ~C~ dollars. Of course, small shirts cost strictly less than medium shirts which cost strictly less than large shirts. In addition, AC also has a special buy — 3 T-shirts get one free deal. That is, for every 3 shirts you buy at full price, you can pick a T-shirt of any size and purchase it at $0. With this information in mind, you would like to figure out the minimum amount of money you need to buy out AC's T-shirts.

Input Specification

Line 1: Three integers space separated: ~S, M, L~ — number of small, medium and large T-shirts AC has in stock.

Line 2: Prices, ~A, B, C~ space separated with each price in the format: ~D.C~ (dollars and cents, joined by a period). Each price is guaranteed to be between ~0.01~ and ~99.99~, and together satisfy ~A < B < C~.

Output Specification

A single real number on one line, the amount of money asked in the problem statement, rounded to two decimal places in the format ~D.C~ (dollars and cents, joined by a period).

Note: neither input nor output should have leading zeroes, 5 dollars should be expressed as 5.00, not 05.00.

Constraints

~0 \le S, M, L \le 10\,000~

~0.01 \le A < B < C \le 99.99~

Sample Input

3 2 1
1.00 2.00 3.00

Sample Output

7.00