Problem:
Score: 400 points

Problem Statement

Quickly after finishing the tutorial of the online game ATChat, you have decided to visit a particular place with N-1 players who happen to be there. These N players, including you, are numbered 1 through N, and the friendliness of Player i is A_i.

The N players will arrive at the place one by one in some order. To make sure nobody gets lost, you have set the following rule: players who have already arrived there should form a circle, and a player who has just arrived there should cut into the circle somewhere.

When each player, except the first one to arrive, arrives at the place, the player gets comfort equal to the smaller of the friendliness of the clockwise adjacent player and that of the counter-clockwise adjacent player. The first player to arrive there gets the comfort of 0.

What is the maximum total comfort the N players can get by optimally choosing the order of arrivals and the positions in the circle to cut into?

Constraints

All values in input are integers.

2 \leq N \leq 2 \times 10^5

1 \leq A_i \leq 10^9

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 \dots A_N

Output

Print the maximum total comfort the N players can get.

Sample Input 1

4
2 2 1 3

Sample Output 1

7

By arriving at the place in the order Player 4, 2, 1, 3, and cutting into the circle as shown in the figure, they can get the total comfort of 7.

They cannot get the total comfort greater than 7, so the answer is 7.

Sample Input 2

7
1 1 1 1 1 1 1

Sample Output 2

6

Solution in C# (Mono-mcs 6.8.0.105) (judge verdict: Accepted)

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

    public class Program
    {
        public static void Main(string[] args)
        {
            new D().test();
        }
    }

    public class A
    {
        public void test()
        {
            // 普通の数値
            var yen = CommonRead.ReadInt();

            if (yen % 1000 == 0)
            {
                Console.WriteLine(0);
            }
            else
            {
                Console.WriteLine(1000 - yen % 1000);
            }

        }
    }

    public class B
    {
        public void test()
        {
            // 普通の数値
            var yen = CommonRead.ReadInt();

            var name = new List<string>();
            name.Add("AC");
            name.Add("WA");
            name.Add("TLE");
            name.Add("RE");

            var AC = new List<string>();
            //var WA = new List<string>();
            //var TLE = new List<string>();
            //var RE = new List<string>();

            // 繰り返し回数
            for (int count =0; count < yen; count++)
            {
                AC.Add(CommonRead.ReadStr());
            }

            foreach(string sn in name)
            {
                Console.WriteLine(sn + " x " + AC.Count(str => str == sn));
            }

        }
    }


    public class C
    {
        public void test()
        {
            // 普通の数値
            var hwk = CommonRead.ReadIntL();

            var row = new List<List<string>>();

            for (int count = 0; count < hwk[0]; count++)
            {
                row.Add(CommonRead.ReadStrL());
            }

            // 答えの.数
            var equal = hwk[2];

            Console.WriteLine(0);
            

        }
    }

    public class D
    {
        public void test()
        {
            // 普通の数値
            var n = CommonRead.ReadLong();
            var a = CommonRead.ReadLongL().OrderByDescending(x => x).ToList();
            /*
            //.GroupBy(x => x).Select(x => new { key = x.Key, count = x.Count() });

            // 繰り返し
            long exec = 0;
            bool zenkai = false;

            for (int i = 1; i<n; i++)
            {

                if (zenkai)
                {
                    exec += a[i - 2];
                }
                else
                {
                    exec += a[i - 1];
                }

                if (a[i] == a[i-1])
                {
                    zenkai = true;
                }

            // 答えの数
            Console.WriteLine(exec);
            }
            */
            long ans = 0;
            for (int i = 0; i < n - 1; ++i)
            {
                ans += a[(i + 1) / 2];
            }
            Console.WriteLine(ans);




        }
    }


    static class CommonRead
    {
        public static string ReadStr()
        {
            return Console.ReadLine();
        }
        public static string[] ReadStrA()
        {
            return ReadStr().Split(' ');
        }
        public static List<string> ReadStrL()
        {
            return ReadStrA().ToList();
        }
        public static int ReadInt()
        {
            return Convert.ToInt32(ReadStr());
        }
        public static int[] ReadIntA()
        {
            return ReadStrA().Select(s => Convert.ToInt32(s)).ToArray();
        }
        public static List<int> ReadIntL()
        {
            return ReadStrA().Select(s => Convert.ToInt32(s)).ToList();
        }
        public static long ReadLong()
        {
            return Convert.ToInt64(ReadStr());
        }
        public static long[] ReadLongA()
        {
            return ReadStrA().Select(s => Convert.ToInt64(s)).ToArray();
        }
        public static List<long> ReadLongL()
        {
            return ReadStrA().Select(s => Convert.ToInt64(s)).ToList();
        }

        public static decimal ReadDecimal()
        {
            return Convert.ToDecimal(ReadStr());
        }
        public static decimal[] ReadDecimalA()
        {
            return ReadStrA().Select(s => Convert.ToDecimal(s)).ToArray();
        }
        public static List<decimal> ReadDecimalL()
        {
            return ReadStrA().Select(s => Convert.ToDecimal(s)).ToList();
        }

        public static double ReadDouble()
        {
            return Convert.ToDouble(ReadStr());
        }
        public static double[] ReadDoubleA()
        {
            return ReadStrA().Select(s => Convert.ToDouble(s)).ToArray();
        }
        public static List<double> ReadDoubleL()
        {
            return ReadStrA().Select(s => Convert.ToDouble(s)).ToList();
        }

    }