Problem:
Score : 200 points

Problem Statement

Determine if an N-sided polygon (not necessarily convex) with sides of length L_1, L_2, ..., L_N can be drawn in a two-dimensional plane.

You can use the following theorem:

Theorem: an N-sided polygon satisfying the condition can be drawn if and only if the longest side is strictly shorter than the sum of the lengths of the other N-1 sides.

Constraints

All values in input are integers.

3 \leq N \leq 10

1 \leq L_i \leq 100

Input

Input is given from Standard Input in the following format:

N
L_1 L_2 ... L_N

Output

If an N-sided polygon satisfying the condition can be drawn, print Yes; otherwise, print No.

Sample Input 1

4
3 8 5 1

Sample Output 1

Yes

Since 8 < 9 = 3 + 5 + 1, it follows from the theorem that such a polygon can be drawn on a plane.

Sample Input 2

4
3 8 4 1

Sample Output 2

No

Since 8 \geq 8 = 3 + 4 + 1, it follows from the theorem that such a polygon cannot be drawn on a plane.

Sample Input 3

10
1 8 10 5 8 12 34 100 11 3

Sample Output 3

No

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

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

namespace ABC099
{
    class Program
    {
        static void Main(string[] args)
        {
            List<string> list = new List<string>();
            while (true)
            {
                string line = Console.ReadLine();
                if (line == null) break;
                list.Add(line);
            }
            var str = list[1].Split(' ');
            List<int> aaa = new List<int>();
            foreach (var item in str)
            {
                aaa.Add(int.Parse(item));
            }

            var sort =aaa.OrderByDescending(Z => Z);
            int chk = sort.First();
            int result = 0;
                foreach (var item in sort.Select((Value, Index) => new { Value, Index }))
	            {
                    if (item.Index!=0)
                    {
                        result = result + item.Value;
                    }
	            }
                if (chk<result)
                {
                    Console.WriteLine("Yes");
                }else
                {
                    Console.WriteLine("No");
                }
        }

    }
}