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 C++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <iostream>
#include <string>
#include <algorithm>
 
using namespace std;
 
int A, B, C, X, Y;
 
int m = 0;
int n, o;
 
void solve() {
 
    cin >> A >> B >> C >> X >> Y;
 
    if (X > Y) {
        n = Y, o = X - Y;
    } else if (X < Y) {
        n = X, o = Y - X;
    } else { o = 0;}
 
 
    if (A + B >= 2 * C) {
        m += C * 2 * n;
    } else {m += (A + B) * n;}
 
    if (o == (X - Y) && A >= 2 * C) {
        m += 2 * C * o;
    } else if (o == (X - Y) && A < 2 * C) {
        m += A * o;
    } else if (o == (Y - X) && B >= 2 * C) {
        m += 2 * C * o;
    } else if (o !=0 && o == (Y - X) && B < 2 * C) {
        m += B * o;
    }
 
    cout << m << endl;
}
int main() {
    solve();
}