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: Accepted)

#include <stdio.h>
#include <string.h>
#include <stdlib.h>
int main(void){
    int count,count2;
    int win=0;
    int n;
    int maxval=0,maxnum=0,sum=0;
    int l[105];
    scanf("%d",&n);
    for(count=1;count<=n;count++){
        scanf("%d",&l[count]);
    }
 
    for(count=1;count<=n;count++){
        if(maxval<=l[count]){maxval=l[count];maxnum=count;}
    }
 
    for(count=1;count<=n;count++){
        if(count!=maxnum){sum=sum+l[count];}
    }
  //printf("sum=%d\n",sum);
  //printf("maxnum=%d\n",maxnum);
    if(maxval<sum){printf("Yes");}
    else{printf("No");}
    return 0;
 
}
 
int min(int a,int b){
    int ans;
    if(a>b){return b;}
    else {return a;}
}
 
int max(int a,int b){
    int ans;
    if(a>b){return a;}
    else {return b;}
}