|Codeforces Round 577 (Div. 2)|
You are given an array $$$a_1, a_2, \ldots, a_n$$$.
In one operation you can choose two elements $$$a_i$$$ and $$$a_j$$$ ($$$i \ne j$$$) and decrease each of them by one.
You need to check whether it is possible to make all the elements equal to zero or not.
The first line contains a single integer $$$n$$$ ($$$2 \le n \le 10^5$$$) — the size of the array.
The second line contains $$$n$$$ integers $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \le a_i \le 10^9$$$) — the elements of the array.
Print "YES" if it is possible to make all elements zero, otherwise print "NO".
4 1 1 2 2
6 1 2 3 4 5 6
In the first example, you can make all elements equal to zero in $$$3$$$ operations:
In the second example, one can show that it is impossible to make all elements equal to zero.