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# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Collections;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Text;
using System.Text.RegularExpressions;

namespace AtCoder.ABC095.C
{
    class Program
    {
        static void Main ()
        {
            var sc = new Scanner ();
            int a = sc.NextInt ();
            int b = sc.NextInt ();
            int c = sc.NextInt ();
            int x = sc.NextInt ();
            int y = sc.NextInt ();
            int fee = 0;
            if (a + b > 2 * c)
            {
                var smaller = Math.Min (x, y);
                fee += c * smaller * 2;
                x -= smaller;
                y -= smaller;
                if (a > c) fee += c * x * 2;
                else fee += a * x;
                if (b > c) fee += c * y * 2;
                else fee += b * y;
            }
            else
            {
                fee += a * x;
                fee += b * y;
            }
            Console.WriteLine (fee);
        }

        static void Swap (ref int a, ref int b)
        {
            var tmp = a;
            a = b;
            b = tmp;
        }
    }

    class Scanner
    {
        string[] s;
        int i;

        char[] cs = new char[] { ' ' };

        public Scanner ()
        {
            s = new string[0];
            i = 0;
        }

        public string Next ()
        {
            if (i < s.Length) return s[i++];
            string st = Console.ReadLine ();
            while (st == "") st = Console.ReadLine ();
            s = st.Split (cs, StringSplitOptions.RemoveEmptyEntries);
            if (s.Length == 0) return Next ();
            i = 0;
            return s[i++];
        }

        public int NextInt ()
        {
            return int.Parse (Next ());
        }
        public int[] ArrayInt (int N, int add = 0)
        {
            int[] Array = new int[N];
            for (int i = 0; i < N; i++)
            {
                Array[i] = NextInt () + add;
            }
            return Array;
        }

        public long NextLong ()
        {
            return long.Parse (Next ());
        }

        public long[] ArrayLong (int N, long add = 0)
        {
            long[] Array = new long[N];
            for (int i = 0; i < N; i++)
            {
                Array[i] = NextLong () + add;
            }
            return Array;
        }

        public double NextDouble ()
        {
            return double.Parse (Next ());
        }

        public double[] ArrayDouble (int N, double add = 0)
        {
            double[] Array = new double[N];
            for (int i = 0; i < N; i++)
            {
                Array[i] = NextDouble () + add;
            }
            return Array;
        }

        public decimal NextDecimal ()
        {
            return decimal.Parse (Next ());
        }

        public decimal[] ArrayDecimal (int N, decimal add = 0)
        {
            decimal[] Array = new decimal[N];
            for (int i = 0; i < N; i++)
            {
                Array[i] = NextDecimal ();
            }
            return Array;
        }
    }
}