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 Python (3.4.3) (judge verdict: Accepted)

#-*- coding: utf-8 -*-
"""
https://atcoder.jp/contests/abc117/tasks/abc117_a
"""

def sol(n, S):
    maxi = max(S)
    ttl = sum(S)
    others = ttl - maxi
    print('Yes' if maxi < others else 'No')

test = False
if test:
    n = 4
    S =list( map(int, "3 8 5 1".split()))
    sol(n, S)

    n = 4
    S =list( map(int, "3 8 4 1".split()))
    sol(n, S)

    n = 10
    S =list( map(int, "1 8 10 5 8 12 34 100 11 3".split()))
    sol(n, S)


else:
    n = int(input())
    S =list( map(int, input().split()))
    #print(n, edges)
    sol(n, S)