Problem:
Score : 300 points

Problem Statement

"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.

Constraints

1 ≤ A, B, C ≤ 5000

1 ≤ X, Y ≤ 10^5

All values in input are integers.

Input

Input is given from Standard Input in the following format:

A B C X Y

Output

Print the minimum amount of money required to prepare X A-pizzas and Y B-pizzas.

Sample Input 1

1500 2000 1600 3 2

Sample Output 1

7900

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.

Sample Input 2

1500 2000 1900 3 2

Sample Output 2

8500

It is optimal to directly buy three A-pizzas and two B-pizzas.

Sample Input 3

1500 2000 500 90000 100000

Sample Output 3

100000000

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.

Solution in PHP7 (7.0.15) (judge verdict: Accepted)

<?php
// Your code here!
$input = explode(" ",trim(fgets(STDIN)));
$a = $input[0];
$b = $input[1];
$c = $input[2];
$x = $input[3];
$y = $input[4];

$case1 = $a*$x + $b*$y; //単純に枚数のみを計算した場合

//もしyの方が大きければ
if($x<=$y){//3 2
    $case2 = $b * ($y - $x) + $c * 2 * $x;
}else{//xのほうが大きければ
    $case2 = $a * ($x - $y) + $c * 2 *$y;
}

if($x <= $y){
    $case3 = $c * 2 *$y; //1600*2*2
}else{
    $case3 = $c * 2 * $x;//1600 * 2 *3
}

echo min($case1,$case2,$case3);



?>