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;



public class Test
{
	public static void Main()
	{
//		while(true){
		  string[] str1 = Console.ReadLine().Split(' ');
		  int n = int.Parse(str1[0]); 
//		  int m = int.Parse(str1[1]); 

//		  if(n == 0) break;
		
		  int[] a = Array.ConvertAll(Console.ReadLine().Split(' '), new Converter<string,int>(s => int.Parse(s)));
//		  string ss = Console.ReadLine();
//		  int[] b = Array.ConvertAll(Console.ReadLine().Split(' '), new Converter<string,int>(s => int.Parse(s)));
//		  int[] c = Array.ConvertAll(Console.ReadLine().Split(' '), new Converter<string,int>(s => int.Parse(s)));
		  //Console.WriteLine("改行あり N = {0} P = {1} Ai = {2}", n, p, a);
		  
		  int max = 0;
		  int sum = 0;
		  for(int i=0; i<a.Length; i++){
		  	if(max<a[i]) max = a[i];
		  	sum+=a[i];
		  
		}
		  
		  Console.WriteLine((max<(sum-max))?"Yes":"No");
//	    }


	}

  public static int calc(int n,int m,int[] a,int[] b,int[] c) {



	  return 0;
  }
  
  


}