Problem Statement

There are $N$ integers written on a blackboard. The $i$-th integer is $A_i$.

Takahashi will repeatedly perform the following operation on these numbers:

• Select a pair of integers, $A_i$ and $A_j$, that have the same parity (that is, both are even or both are odd) and erase them.
• Then, write a new integer on the blackboard that is equal to the sum of those integers, $A_i+A_j$.

Determine whether it is possible to have only one integer on the blackboard.

Constraints

• $2 ≦ N ≦ 10^5$
• $1 ≦ A_i ≦ 10^9$
• $A_i$ is an integer.

Input

The input is given from Standard Input in the following format:

N
A_1 A_2 … A_N

Output

If it is possible to have only one integer on the blackboard, print YES. Otherwise, print NO.