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 JavaScript (node.js v5.12) (judge verdict: Accepted)

'use strict'
function main(input) {
    const tmp = input.split('\n');
    const N = parseInt(tmp[0], 10);
    const L = tmp[1].split(' ').map((elem) => parseInt(elem, 10));

    const longestSide = L.reduce((max, elem) => Math.max(max, elem));
    L.splice(L.indexOf(longestSide), 1);
    const sumOfRest = L.reduce((sum, elem) => sum + elem);
    if (longestSide < sumOfRest) {
        console.log('Yes');
    } else {
        console.log('No');
    }
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));