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Contest: Task: Related: TaskB

Score : $300$ points

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.

Sample Input 1

3
1 2 3

Sample Output 1

YES

It is possible to have only one integer on the blackboard, as follows:

  • Erase $1$ and $3$ from the blackboard, then write $4$. Now, there are two integers on the blackboard: $2$ and $4$.
  • Erase $2$ and $4$ from the blackboard, then write $6$. Now, there is only one integer on the blackboard: $6$.

Sample Input 2

5
1 2 3 4 5

Sample Output 2

NO