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(void){
   
   int i,j;
   int input_num;
   
   scanf("%d",&input_num);
   
   int L[input_num];
   
   for(i = 0;i < input_num ; i++)
     scanf("%d",&L[i]);
    
   int L_max = 0;
   int L_sum;
   for(j = 0; j < input_num; j++){
     if(L_max <= L[j]);
       L_max = L[j];
                     
       L_sum += L[j];
   }
   if(L_max < (L_sum - L_max))
     printf("Yes");
                   
   else 
     printf("No");
   return 0;
   }