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 (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <math.h>
#include <time.h>
#include<stdlib.h>
#include<string.h>

int main(void){
	int a, b, c, x, y, ans = 0;

	scanf("%d %d %d %d %d", &a, &b, &c, &x, &y);

	if (x > y) {
		if (y * c * 2 < a * y + b * y) {
			ans += y * c * 2;
		}
		else {
			ans += a * y + b * y;
		}
		x = x - y;
		if (a < c * 2) {
			ans += x * a;
		}
		else {
			ans += c * a * 2;
		}
	}
	else if (x < y) {
		if (x * c * 2 < a * x + b * x) {
			ans += x * c * 2;
		}
		else {
			ans += a * x + b * x;
		}
		y = y - x;
		if (b < c * 2) {
			ans += y * b;
		}
		else {
			ans += y * c * 2;
		}
	}
	printf("%d", ans);
}