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

The first line contains one integer t (1 ≤ t ≤ 100) – the number of queries.

The first line of each query contains three integers b, p and f (1 ≤ b, ~p, ~f ≤ 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 ≤ h, ~c ≤ 100) — the hamburger and chicken burger prices in your restaurant.

Output

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

Example

Input


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


Output


40
34
0

Note

In first query you have to sell two hamburgers and three chicken burgers. Your income is 2 ⋅ 5 + 3 ⋅ 10 = 40.

In second query you have to ell one hamburgers and two chicken burgers. Your income is 1 ⋅ 10 + 2 ⋅ 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.
t = int(input())
for case in range(t):
	profit = 0
	buns, beef_patties, cutlets = [int(b) for b in input().split()]
	beef_price, cutlet_price = [int(h) for h in input().split()]
	possible_burgers = buns // 2

	if beef_price >= cutlet_price:
		if beef_patties > possible_burgers:	
			beef_patties = possible_burgers	
		profit += beef_patties * beef_price
		possible_burgers -= beef_patties
		
		if cutlets > possible_burgers:
			cutlets = possible_burgers
		profit += cutlets * cutlet_price
		possible_burgers -= cutlets
	
	elif cutlet_price >= beef_price:
		if cutlets > possible_burgers:
			cutlets = possible_burgers
		profit += cutlets * cutlet_price
		possible_burgers -= cutlets
		
		if beef_patties > possible_burgers:	
			beef_patties = possible_burgers

		profit += beef_patties * beef_price
		possible_burgers -= beef_patties
	
	print(profit)

		
		
	