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: Wrong Answer)

using System;
class Program {
  static void Main (string[] args) {
    int n = int.Parse(Console.ReadLine());
    string[] nums = Console.ReadLine().Split(' ');
    int rem_biggest = 0;
    int the_others = 0;
    int num_buffer;
    for (int cnt = 0; cnt < n; cnt++) {
      num_buffer = int.Parse(nums[cnt]);
      the_others += num_buffer;
      if (num_buffer > rem_biggest) rem_biggest = num_buffer;
    }
    if (rem_biggest < the_others) 
    {
      Console.WriteLine("Yes");
    }
    else
    {
      Console.WriteLine("No");
    }
  }
}