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 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<stdio.h>

int main()
{

  int i,j,k=0,tmp;
  int N;
  scanf("%d",&N);
  int L[N];
  
  for(i=0;i<N;i++)
    scanf("%d ",&L[i]);
  
  for (i=0; i<N; ++i) {
    for (j=i+1; j<N; ++j) {
      if (L[i] > L[j]) {
        tmp =  L[i];
        L[i] = L[j];
        L[j] = tmp;
      }
    }
  }
  
  for(i=0;i<N-1;i++)
    k+=L[i];
  
  if(L[++i] > k)
    puts("No");
  
  else
    puts("Yes");
  
  return 0;
}