## T-Shirts

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Points: 5 (partial)
Time limit: 2.0s
Memory limit: 64M

Authors:
Problem type
Allowed languages
Ada, Assembly, Awk, Brain****, C, C#, C++, COBOL, CommonLisp, D, Dart, F#, Forth, Fortran, Go, Groovy, Haskell, Intercal, Java, JS, Kotlin, Lisp, Lua, Nim, ObjC, OCaml, Octave, Pascal, Perl, PHP, Pike, Prolog, Python, Racket, Ruby, Rust, Scala, Scheme, Sed, Swift, TCL, Text, Turing, VB, Zig

#### Recipe 1

Ahmed, the mighty leader of the anti-gang gang AC, is also the owner of a major franchise that sells clothing! As the 2nd 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 dollars, medium T-shirts for dollars, and large T-shirts for 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 full priced, 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: — number of small, medium and large T-shirts AC has in stock.

Line two: Prices, space separated with each price in the format: (dollars and cents, joined by a period). Each price is guaranteed to be between and , and together satisfy .

#### 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 (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.

#### Sample Input

3 2 1
1.00 2.00 3.00

#### Sample output

7.00