A12810 | There Are Two Types Of Burgers

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.

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.

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