CF1207A.There Are Two Types Of Burgers

普及/提高-

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题目描述

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 bb buns, pp beef patties and ff chicken cutlets in your restaurant. You can sell one hamburger for hh dollars and one chicken burger for cc dollars. Calculate the maximum profit you can achieve.

You have to answer tt independent queries.

输入格式

The first line contains one integer tt ( 1t1001 \le t \le 100 ) – the number of queries.

The first line of each query contains three integers bb , pp and ff ( 1b, p, f1001 \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 hh and cc ( 1h, c1001 \le h, ~c \le 100 ) — the hamburger and chicken burger prices in your restaurant.

输出格式

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

输入输出样例

  • 输入#1

    3
    15 2 3
    5 10
    7 5 2
    10 12
    1 100 100
    100 100
    

    输出#1

    40
    34
    0
    

说明/提示

In first query you have to sell two hamburgers and three chicken burgers. Your income is 25+310=402 \cdot 5 + 3 \cdot 10 = 40 .

In second query you have to ell one hamburgers and two chicken burgers. Your income is 110+212=341 \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.

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