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### Half and Half

### 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:

ABCXY

### 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.

### Tags

### Subtasks and Limits

Subtask | Score | #TC | Time | Memory | Scoring |
---|---|---|---|---|---|

1 | 100 | 15 | 1s | 256MB | Minimum |

2 | 0 | 3 | 1s | 256MB | Minimum |

### Judge Compile Command

g++-8 ans.cpp -o halfandhalf -Wall -Wshadow -static -O2 -lm -m64 -s -w -std=gnu++17 -fmax-errors=512