CF1207A There Are Two Types Of Burgers

Description

There are two types of burgers in your restaurant — hamburgers and chicken burgers! To assemble a hamburger you need two buns and a beef patty. To assemble a chicken burger you need two buns and a chicken cutlet. You have $ b $ buns, $ p $ beef patties and $ f $ chicken cutlets in your restaurant. You can sell one hamburger for $ h $ dollars and one chicken burger for $ c $ dollars. Calculate the maximum profit you can achieve. You have to answer $ t $ independent queries.

Input Format

The first line contains one integer $ t $ ( $ 1 \le t \le 100 $ ) – the number of queries. The first line of each query contains three integers $ b $ , $ p $ and $ f $ ( $ 1 \le b, ~p, ~f \le 100 $ ) — the number of buns, beef patties and chicken cutlets in your restaurant. The second line of each query contains two integers $ h $ and $ c $ ( $ 1 \le h, ~c \le 100 $ ) — the hamburger and chicken burger prices in your restaurant.

Output Format

For each query print one integer — the maximum profit you can achieve.

Explanation/Hint

In first query you have to sell two hamburgers and three chicken burgers. Your income is $ 2 \cdot 5 + 3 \cdot 10 = 40 $ . In second query you have to ell one hamburgers and two chicken burgers. Your income is $ 1 \cdot 10 + 2 \cdot 12 = 34 $ . In third query you can not create any type of burgers because because you have only one bun. So your income is zero.