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.Linq;
using System.Collections;
using System.Collections.Generic;
using static System.Console;
using System.Text;
using System.Threading.Tasks;
using System.IO;
using System.Diagnostics;
class Program
{
    public static Scanner input;
    static void Main()
    {

        input = new Scanner();
        input.skip();
        int[] arr = input.arrayInt();
        WriteLine(arr.Max()<arr.Sum()-arr.Max()?"Yes":"No");

    }
    static long GCD(long a, long b)
    {
        long m = a % b;
        if (m == 0)
        {
            return b;
        }
        else
        {
            return GCD(b, m);
        }

    }
}





class Scanner
{

    public Scanner()
    {
    }

    public void skip()
    {
        ReadLine();
        return;
    }
    public string String()
    {
        return ReadLine();
    }
    public string[] arrayString()
    {
        return ReadLine().Split();
    }
    public int Int()
    {
        return int.Parse(ReadLine());
    }
    public int[] arrayInt()
    {
        return ReadLine().Split().Select(i => int.Parse(i)).ToArray();
    }
    public long Long()
    {
        return long.Parse(ReadLine());
    }
    public long[] arrayLong()
    {
        return ReadLine().Split().Select(i => long.Parse(i)).ToArray();
    }
    public double Double()
    {
        return double.Parse(ReadLine());
    }
    public double[] arrayDouble()
    {
        return ReadLine().Split().Select(i => double.Parse(i)).ToArray();
    }
}