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;
using System.Text;
using System.Threading.Tasks;
using System.Windows;

namespace AtCoder
{
    class Program
    {

        static void Main()
        {
            //ここから

            int N = ReadLineToInt();
            List<int> L = ReadLineToIntList();
            //ここまで

            L = L.OrderBy(l => l).ToList();
            bool b = L.Last() < L.Sum() - L.Last();

            string ans = b ? "Yes" : "No";
            Console.WriteLine(ans);
            Console.ReadKey();
        }


        static public void Swap<T>(ref T a,ref T b) { T temp = a;a = b;b = temp; }
        static public long GCD(int a, int b){ return b != 0 ? GCD(b, a % b) : a;}
        static public long LCM(int a, int b){ return (long)a * b / GCD(a, b); }



        
        static public string ReadLineToString(){return Console.ReadLine();}
        static public int ReadLineToInt(){return int.Parse(Console.ReadLine());}
        static public long ReadLineToLong() { return long.Parse(Console.ReadLine()); }
        static public string[] ReadLineToStringArray(){return Console.ReadLine().Split(' ').ToArray();}
        static public int[] ReadLineToIntArray(){return Console.ReadLine().Split(' ').Select(int.Parse).ToArray();}
        static public long[] ReadLineToLongArray() { return Console.ReadLine().Split(' ').Select(long.Parse).ToArray(); }
        static public List<string> ReadLineToStringList(){return Console.ReadLine().Split(' ').ToList();}
        static public List<int> ReadLineToIntList(){return Console.ReadLine().Split(' ').Select(int.Parse).ToList();}
        static public List<long> ReadLineToLongList() { return Console.ReadLine().Split(' ').Select(long.Parse).ToList(); }
    }
    
}