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 9.2.1) (judge verdict: Accepted)


#include<stdio.h>
int main()
{
    int N, max=0, i, sum=0, sum1=0;
    scanf("%d",&N);
    int L[N];

    for(i=0; i<N; i++)
        scanf("%d",&L[i]);
        
    max = L[0];
    for(i=0; i<N; i++)
        if(L[i] > max)
            max = L[i];
            
    for(i=0; i<N; i++)
        sum = sum + L[i];
        
    sum1 = sum - max;
    if(sum1>max)
        printf("Yes\n");
    else
        printf("No\n");

}

// Author: Sorowar Mahabub