Score : $300$ points
"Pizza At", a fast food chain, offers three kinds of pizza: "A-pizza", "B-pizza" and "AB-pizza". A-pizza and B-pizza are completely different pizzas, and AB-pizza is one half of A-pizza and one half of B-pizza combined together. The prices of one A-pizza, B-pizza and AB-pizza are $A$ yen, $B$ yen and $C$ yen (yen is the currency of Japan), respectively.
Nakahashi needs to prepare $X$ A-pizzas and $Y$ B-pizzas for a party tonight. He can only obtain these pizzas by directly buying A-pizzas and B-pizzas, or buying two AB-pizzas and then rearrange them into one A-pizza and one B-pizza. At least how much money does he need for this? It is fine to have more pizzas than necessary by rearranging pizzas.
Input is given from Standard Input in the following format:
$A$ $B$ $C$ $X$ $Y$
Print the minimum amount of money required to prepare $X$ A-pizzas and $Y$ B-pizzas.
1500 2000 1600 3 2
It is optimal to buy four AB-pizzas and rearrange them into two A-pizzas and two B-pizzas, then buy additional one A-pizza.
1500 2000 1900 3 2
It is optimal to directly buy three A-pizzas and two B-pizzas.
1500 2000 500 90000 100000
It is optimal to buy $200000$ AB-pizzas and rearrange them into $100000$ A-pizzas and $100000$ B-pizzas. We will have $10000$ more A-pizzas than necessary, but that is fine.